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"trigonal" Definitions
  1. of, relating to, or being the division of the hexagonal crystal system or the forms belonging to it characterized by a vertical axis of threefold symmetry

475 Sentences With "trigonal"

How to use trigonal in a sentence? Find typical usage patterns (collocations)/phrases/context for "trigonal" and check conjugation/comparative form for "trigonal". Mastering all the usages of "trigonal" from sentence examples published by news publications.

The LnN6 twists away from its original trigonal prismatic geometry becoming octahedral.
Lanthanum coordination Bonding is ionic with lanthanum highly coordinated. The cation sits at the center of a trigonal prism. Nine fluorine atoms are close: three at the bottom corners of the trigonal prism, three in the faces of the trigonal prism, and three at top corners of the trigonal prism. There are also two fluorides a little further away above and below the prism.
As a trigonal bipyramidal molecule undergoes Berry pseudorotation, it proceeds via an intermediary stage with the square pyramidal geometry. Thus even though the geometry is rarely seen as the ground state, it is accessed by a low energy distortion from a trigonal bipyramid. Pseudorotation also occurs in square pyramidal molecules. Molecules with this geometry, as opposed to trigonal bipyramidal, exhibit heavier vibration.
In chemistry, a trigonal pyramid is a molecular geometry with one atom at the apex and three atoms at the corners of a trigonal base, resembling a tetrahedron (not to be confused with the tetrahedral geometry). When all three atoms at the corners are identical, the molecule belongs to point group C3v. Some molecules and ions with trigonal pyramidal geometry are the pnictogen hydrides (XH3), xenon trioxide (XeO3), the chlorate ion, , and the sulfite ion, . In organic chemistry, molecules which have a trigonal pyramidal geometry are sometimes described as sp3 hybridized.
Molecules where the three ligands are not identical, such as H2CO, deviate from this idealized geometry. Examples of molecules with trigonal planar geometry include boron trifluoride (BF3), formaldehyde (H2CO), phosgene (COCl2), and sulfur trioxide (SO3). Some ions with trigonal planar geometry include nitrate (), carbonate (), and guanidinium (). In organic chemistry, planar, three-connected carbon centers that are trigonal planar are often described as having sp2 hybridization.
The rhombic dodecahedral honeycomb can be dissected into a trigonal trapezohedral honeycomb with each rhombic dodecahedron dissected into 4 trigonal trapezohedrons. Each rhombic dodecahedra can also be dissected with a center point into 12 rhombic pyramids of the rhombic pyramidal honeycomb.
Bismuth endows materials with a variety of interesting optical properties that can be tuned by changing the supporting material. Commonly-reported structures include the trigonal bipyramidal cluster, the octahedral cluster, the square antiprismatic cluster, and the tricapped trigonal prismatic cluster.
Structure of boron trifluoride, an example of a molecule with trigonal planar geometry. In chemistry, trigonal planar is a molecular geometry model with one atom at the center and three atoms at the corners of an equilateral triangle, called peripheral atoms, all in one plane. In an ideal trigonal planar species, all three ligands are identical and all bond angles are 120°. Such species belong to the point group D3h.
As a trigonal antiprism, the octahedron is related to the hexagonal dihedral symmetry family.
Borates are composed of trigonal planar BO3 or tetrahedral BO4 structural units, joined together via shared oxygen atomsWiberg E. and Holleman A.F. (2001) Inorganic Chemistry, Elsevier and may be cyclic or linear in structure. Structure of boric acid, illustrating trigonal planar molecular geometry The simplest borate anion, the orthoborate(3−) ion, [BO3]3−, is known in the solid state, for example, in Ca3(BO3)2, where it adopts a nearly trigonal planar structure. It is a structural analogue of the carbonate anion [CO3]2−, with which it is isoelectronic. Simple bonding theories point to the trigonal planar structure.
For compounds with the formula MX6, the chief alternative to octahedral geometry is a trigonal prismatic geometry, which has symmetry D3h. In this geometry, the six ligands are also equivalent. There are also distorted trigonal prisms, with C3v symmetry; a prominent example is W(CH3)6. The interconversion of Δ- and Λ-complexes, which is usually slow, is proposed to proceed via a trigonal prismatic intermediate, a process called the "Bailar twist".
PCl5 and PF5 are common compounds. PF5 is a colourless gas and the molecules have trigonal bipyramidal geometry. PCl5 is a colourless solid which has an ionic formulation of PCl4+ PCl6−, but adopts the trigonal bipyramidal geometry when molten or in the vapour phase.
Combeite is a rare silicate mineral with the formula Na2Ca2Si3O9. It has a trigonal crystal system.
For the first time, the coordination geometries hexagonal planar and trigonally monocapped trigonal-prismatic are seen.
The anion has been observed in the gas phase. It may adopt a trigonal shape akin to SO3.
Figure 1: Closed triangulated polyhedra. (a) Tetrahedron (Td), (b) Trigonal bipyramid (D3h). (c) Octahedron (Oh). (d) Pentagonal bipyramid (D5d).
This trigonal, quartz-like network undergoes a coesite-like transformation to monoclinic β-B2O3 at several gigapascals (9.5 GPa).
For the trigonal bipyramid, the tripod shaped ligand has its most symmetrical position with the bridging donor at one of the apexes, and the feet of the tripod are arranged around the base, leaving a vacant position at the opposite apex. This has C3v symmetry. Trigonal bipyramidal coordination tends to occur where five member rings are formed with the bridgehead, bridge, feet donor atoms and central atom. In four coordination a tripodal ligand would fill all the positions available, the geometry is trigonal pyramid.
Zaïrite crystallizes in the trigonal crystal system, which means it contains three equal horizontal axes with angles of 120° between them.Klein, C., Dutrow, B. (2007) The 23rd edition of the Manual of Mineral Science, 131 p. John Wiley and Sons, Inc. Hoboken, New Jersey, U.S.A. The mineral has a trigonal- hexagonal scalenohedron shape.
Rigid molecules can be used to force unusual coordination such as trigonal prism. F. Lions identified 36 different hexadentate topologies.
Lauge Beck (c. 1530 - 14 May 1607), or Lave Beck, was a Danish landowner, trigonal judge of Zealand and royal treasurer.
In its pure state, germanium(IV) nitride is a colorless, inert solid that crystallizes in many polymorphs, of which the most stable is the trigonal β-form (space group P31c). In this structure, the germanium atoms are tetrahedrally coordinated while the nitrogen atoms are trigonal planar. The γ-form, which forms under high pressure, has a spinel structure.
Antimony pentachloride is prepared by passing chlorine gas into molten antimony trichloride: :SbCl3 \+ Cl2 → SbCl5 Gaseous SbCl5 has a trigonal bipyramidal structure.
Monoplex trigonus, common name the trigonal hairy triton, is a species of predatory sea snail, a marine gastropod mollusk in the family Cymatiidae.
The AXE method for VSEPR theory states that the classification is AX3E1. Phosphine, an example of a molecule with a trigonal pyramidal geometry.
All are d0 complexes. Some 6-coordinate complexes with regular trigonal prismatic structures (D3h symmetry) include [ReMe6] (d1), (d0), and the aforementioned (d0).
The color of the shell show pale red blotches, of a trigonal shape round the last two whorls, and most conspicuous at the periphery.
In geometry, the triapeirogonal tiling (or trigonal-horocyclic tiling) is a uniform tiling of the hyperbolic plane with a Schläfli symbol of r{∞,3}.
It is produced by dehalogenation of the bromophenyl complex NiCl(C6H4Br-2)(dcpe) with sodium amalgam. Its coordination geometry is close to trigonal planar.
Chromium telluride samples that are highly saturated with tellurium were found to crystallize in a hexagonal structure, but trigonal lattice distortions are also possible.
The word "latiaxisa" refers to the particular characteristics of trigonal spines, which reminds one of the genus Latiaxis in the subfamily Coralliophiliinae in the Muricidae.
Bobdownsite is isostructural with whitlockite having a trigonal crystal system and R3c space group. The point group is 3m with unit cell parameters ɑ 1.3224(3) Å, c 37.70(2) Å, V 3420.7(6) Å3. Bobdownsite has trigonal - ditrigonal pyramid tabular, euhedral crystals. The mineral is characterized by [M(PO4)6]−16 ligands held together by intralayer Ca2+ cations to form layers parallel to (001).
Changbaiite has a trigonal crystal system and a space group of R3m. Its lattice dimensions are a= 10.499 Å c = 11.553 Å. Changbaiite can be found as a small crystal with a tabular or spherules crystal shape. It can get up to 5mm in size and averages from 0.2 to 0.4 mm. Changbaiite's trigonal crystals show 3m symmetry and is bounded, in sequence of lessening prominence.
CrO2 adopts the rutile structure (as do many metal dioxides). As such each Cr(IV) center has octahedral coordination geometry and each oxide is trigonal planar.
Melonite occurs as trigonal crystals, which cleave in a (0001) direction. It has a specific gravity of 7.72 and a hardness of 1–1.5 (very soft).
The quasi-trigonal geometry of the cadmium tetrafluoroborate hexahydrate crystal is unique among the first- row transition metal tetrafluoroborates and perchlorates, which have predominately hexagonal structures.
Referring to the form of a shell when it is wider than high. Tricuspidate. Having three cusps. Trifid. Having three branches. Trigonal. Having three angles. Trilobate.
After the iris has flowered, it produces an oblong or trigonal seed capsule, that is long. Inside the capsule, are large, pyriform (pear-shaped), brown wrinkled seeds.
Structure of the anion, a tricapped trigonal prism. is an unusual example of a nonacoordinated complex, its high coordination number being attributed to the small size of the hydride ligand and the high positive charge on the Re(VII) center. Its structure consists of a tricapped trigonal prism,Holleman, A. F.; Wiberg, E. "Inorganic Chemistry" Academic Press: San Diego, 2001. .Housecroft, C.E. and Sharpe A.G. "Inorganic Chemistry" (2nd edn, Pearson 2005.
Ilmenite crystallizes in the trigonal system. The ilmenite crystal structure consists of an ordered derivative of the corundum structure; in corundum all cations are identical but in ilmenite Fe2+ and Ti4+ ions occupy alternating layers perpendicular to the trigonal c axis. Containing high spin ferrous centers, ilmenite is paramagnetic. Ilmenite is commonly recognized in altered igneous rocks by the presence of a white alteration product, the pseudo-mineral leucoxene.
Its structure consists of a polymeric borate backbone. The Li+ centers are bound to four and five oxygen ligands. Boron centers are trigonal and tetrahedral. Borate backbone of Li2B4O7.
In chemistry, the tricapped trigonal prismatic molecular geometry describes the shape of compounds where nine atoms, groups of atoms, or ligands are arranged around a central atom, defining the vertices of a triaugmented triangular prism (a trigonal prism with an extra atom attached to each of its three rectangular faces). It is very similar to the capped square antiprismatic molecular geometry, and there is some dispute over the specific geometry exhibited by certain molecules.
It crystallizes in the trigonal crystal system as equant, distorted prisms with trigonal pyramid terminations.Handbook of Mineralogy It occurs as rare fracture and cavity encrustations within schists derived from sedimentary rocks. Associated minerals include quartz, potassium feldspar, muscovite, schorl, riebeckite and magnesite. Discovered at the San Francisco mine, near Villa Tunari (in Alto Chapare), Bolivia, in 1976, originally it was called ferridravite, for the composition and the assumed relationship to dravite, i.e.
Bismuth telluride is a narrow-gap layered semiconductor with a trigonal unit cell. The valence and conduction band structure can be described as a many-ellipsoidal model with 6 constant-energy ellipsoids that are centered on the reflection planes. Bi2Te3 cleaves easily along the trigonal axis due to Van der Waals bonding between neighboring tellurium atoms. Due to this, bismuth-telluride-based materials used for power generation or cooling applications must be polycrystalline.
For genus g ≥ 3 it is no longer the case that the genus determines the gonality. The gonality of the generic curve of genus g is the floor function of :(g + 3)/2. Trigonal curves are those with gonality 3, and this case gave rise to the name in general. Trigonal curves include the Picard curves, of genus three and given by an equation :y3 = Q(x) where Q is of degree 4.
In 1978, a study using photoelectron spectroscopy appeared to confirm the initial assignment of an Oh structure. The octahedral assignment remained for nearly 20 years until 1989 when Girolami and Morse showed that was trigonal prismatic as indicated by X-ray crystallography. They predicted that other d0 ML6 species such as , , and W(CH3)6 would also prove to be trigonal prismatic. This report prompted other investigations into the structure of W(CH3)6.
Atomic coordinates of YB22C2N are summarized in table IVb. Y, Ho, Er, Tm and Lu also form REB28.5C4 which has a trigonal crystal structure with space group Rm (No. 166).
In algebraic geometry, the Enriques–Babbage theorem states that a canonical curve is either a set-theoretic intersection of quadrics, or trigonal, or a plane quintic. It was proved by and .
Space groups and crystals are divided into seven crystal systems according to their point groups, and into seven lattice systems according to their Bravais lattices. Five of the crystal systems are essentially the same as five of the lattice systems, but the hexagonal and trigonal crystal systems differ from the hexagonal and rhombohedral lattice systems. The six crystal families are formed by combining the hexagonal and trigonal crystal systems into one hexagonal family, in order to eliminate this confusion.
Paratellurite, α-TeO2, converts at high pressure into the β-, tellurite form. Both the α-, (paratellurite) and β- (tellurite forms) contain four coordinate Te with the oxygen atoms at four of the corners of a trigonal bipyramid. In paratellurite all vertices are shared to give a rutile-like structure, where the O-Te-O bond angle are 140°. α-TeO2 In tellurite pairs of trigonal pyramidal, TeO4 units, sharing an edge, share vertices to then form a layer.
In chemistry, the trigonal prismatic molecular geometry describes the shape of compounds where six atoms, groups of atoms, or ligands are arranged around a central atom, defining the vertices of a triangular prism.
The crystal structure of hematite is trigonal- hexagonal. It has the same composition as maghemite; to distinguish between them, their chemical formulae are generally given as γ for hematite and α for maghemite.
Pyrophanite is a manganese titanium oxide mineral with formula: MnTiO3. It is a member of the ilmenite group. It is a deep red to greenish black mineral which crystallizes in the trigonal system.
A crystallographic study shows that the compound contains the Ce2(SO4)88− anion, where the cerium atoms are 9 coordinated by oxygen atoms belonging to sulfate groups, in a distorted tricapped trigonal prism.
The pollen is also white. The white stigma is notched, or serrated. After the iris has flowered, it produces a trigonal, or elliptic seed capsule, is long. It has a beak (curved ending).
A molecule may be nonpolar either when there is an equal sharing of electrons between the two atoms of a diatomic molecule or because of the symmetrical arrangement of polar bonds in a more complex molecule. For example, boron trifluoride (BF3) has a trigonal planar arrangement of three polar bonds at 120°. This results in no overall dipole in the molecule. In a molecule of boron trifluoride, the trigonal planar arrangement of three polar bonds results in no overall dipole.
Using gas-phase electron diffraction, Volden et al. confirmed that W(CH3)6 is indeed trigonal prismatic structure with either D3h or C3v symmetry. In 1996, Seppelt et al. reported that W(CH3)6 had a strongly distorted trigonal prismatic coordination geometry based on single-crystal X-ray diffraction, which they later confirmed in 1998. As shown in the top figure at right, the ideal or D3h trigonal prism in which all six carbon atoms are equivalent is distorted to the C3v structure observed by Seppelt et al. by opening up one set of three methyl groups (upper triangle) to wider C-W-C angles (94-97°) with slightly shorter C-W bond lengths, while closing the other set of three methyls (lower triangle) to 75-78° with longer bond lengths.
Sarkinite is isostructural with triploidite and wolfeite and is a dimorph of eveite.Halenius, p. 113. The crystal structure consists of MnO4(OH)2 octahedra, MnO4(OH) trigonal bipyramids, and AsO4 tetrahedra.Dal Negro, p. 246.
Arsenic pentafluoride is a colourless gas and has a trigonal bipyramidal structure. In the solid state the axial As−F bond lengths are 171.9 pm and the equatorial 166.8 pm. Its point group is D3h.
A dehydrating agent, such as concentrated sulfuric acid is typically added: :B(OH)3 \+ 3 ROH → B(OR)3 \+ 3 H2O A variety of salts are also known, involving the planar trigonal BO33– borate anion.
Pentamethylarsenic (or pentamethylarsorane)is an organometalllic compound containing five methyl groups bound to an arsenic atom with formula As(CH3)5. It is an example of a hypervalent compound. The molecular shape is trigonal bipyramid.
Pentamethylbismuth (or pentamethylbismuthorane) is an organometalllic compound containing five methyl groups bound to a bismuth atom with formula Bi(CH3)5. It is an example of a hypervalent compound. The molecular shape is trigonal bipyramid.
The 4½ whorls are rapidly widening, slightly convex, and planulate at the sutures. They are separated by impressed sutures. The body whorl is large and rounded on the base. The aperture is dilated, ovate-trigonal.
Reconstruction of the distinctive telson of Salteropterus. Salteropterus is a rare eurypterid, and is known mainly from the fossilised remains of its metastoma (a large plate that is part of the abdomen) and telson (the posteriormost segment of the body). The telson is the most distinctive feature of the genus, in that it has a trigonal (triangular) shape with serrated posterior edges. The flattened trigonal part of the telson ends in an elongated stem that far exceeds the rest of the telson in length.
Some important applications of the anion-𝝅 interactions are to purify drinking water by removing nitrate and phosphate ions, catalysis, and biological purposes such as pores, membranes, and fabricated ion routes. Trigonal-bipyramidal cyanide cluster with single-molecule magnets can provide magnetic bistability. They have unique physical properties and can be also applicable in quantum computing. Dunbar's research group focused on introducing magnetically anisotropic metal ions into clusters such as MnIII ions which plays an important role in trigonal-bipyramidal (tbp) molecular geometry for determining magnetic phenomenon.
In chemistry, the bicapped trigonal prismatic molecular geometry describes the shape of compounds where eight atoms or groups of atoms or ligands are arranged around a central atom defining the vertices of a biaugmented triangular prism. This shape has C2v symmetry and is one of the three common shapes for octacoordinate transition metal complexes, along with the square antiprism and the dodecahedron.Wells A.F. (1984) Structural Inorganic Chemistry 5th edition Oxford Science Publications One example of the bicapped trigonal prismatic molecular geometry is the ion.
In chemistry, the dodecahedral molecular geometry describes the shape of compounds where eight atoms or groups of atoms or ligands are arranged around a central atom defining the vertices of a snub disphenoid (also known as a trigonal dodecahedron). This shape has D2d symmetry and is one of the three common shapes for octacoordinate transition metal complexes, along with the square antiprism and the bicapped trigonal prism.Wells A.F. (1984) Structural Inorganic Chemistry 5th edition Oxford Science Publications One example of the dodecahedral molecular geometry is the ion.
Crystal structure of corundum Molar volume vs. pressure at room temperature. Corundum crystallizes with trigonal symmetry in the space group and has the lattice parameters and at standard conditions. The unit cell contains six formula units.
The shell of Lioconcha hieroglyphica reaches a maximum length of about 42 mm. The shape of the shell is trigonal with a truncated posterior. The anterodorsal margin is acutely rounded. The linule is elongated and heart-shaped.
Typically one of three coordination geometries is adopted: linear 2-coordinate, trigonal 3-coordinate, and tetrahedral 4-coordinate. Organocopper compounds form complexes with a variety of soft ligands such as alkylphosphines (R3P), thioethers (R2S), and cyanide (CN−).
In terms of chemical structure, the molecule has idealized Cs symmetry. It has a trigonal pyramidal molecular geometry consistent with other three-coordinate S(IV) compounds, with a nonbonded electron pair on the approximately tetrahedral sulfur atom.
The hydrogen atoms are not shown. Some other transition metals have trigonal prismatic hexamethyl complexes, including both neutral molecules such as Mo(CH3)6 and Re(CH3)6 and ions such as and . The complex Mo(S−CH=CH−S)3 is also trigonal prismatic, with each S−CH=CH−S group acting as a bidentate ligand with two sulfur atoms binding the metal atom. Here the coordination geometry of the six sulfur atoms around the molybdenum is similar to that in the extended structure of molybdenum disulfide (MoS2).
This polyhedron can be constructed by truncating two opposite vertices of a cube, of a trigonal trapezohedron (a convex polyhedron with six congruent rhombus sides, formed by stretching or shrinking a cube along one of its long diagonals), or of a rhombohedron or parallelepiped (less symmetric polyhedra that still have the same combinatorial structure as a cube). In the case of a cube, or of a trigonal trapezohedron where the two truncated vertices are the ones on the stretching axes, the resulting shape has three-fold rotational symmetry.
The In ion has been found to be square pyramidal in the salt (NEt4)2InCl5, with the same structure as (NEt4)2 TlCl5, but is trigonal bipyramidal in tetraphenylphosphonium pentachloroindate acetonitrile solvate.Bubenheim W., Frenzen G., Muller U. Acta Crystallogr. C, 51, 6, (1995), 1120. The In ion has similarly been found square pyramidal, albeit distorted, in the Bis(4-chloropyridinium) salt Ishihara H., Dou S., Gesing T.M., Paulus H., Fuess H., Weiss A. Journal of Molecular Structure 471, 1 (1998)175 and trigonal bipyramidal Dubenskyy V., Ruck M., Z Anorg. Allgem.
A trigonal planar sp2-hybridized atom can be converted to a chiral center when a substituent is added to the re or si face of the molecule. A face is labeled re if, when looking at that face, the substituents at the trigonal atom are arranged in decreasing Cahn-Ingold-Prelog priority order in a clockwise order, and si if the priorities decrease in counter-clockwise order; note that the designation of the resulting chiral center as S or R depends on the priority of the incoming group.
In chemistry, the capped trigonal prismatic molecular geometry describes the shape of compounds where seven atoms or groups of atoms or ligands are arranged around a central atom defining the vertices of an augmented triangular prism. This shape has C2v symmetry and is one of the three common shapes for heptacoordinate transition metal complexes, along with the pentagonal bipyramid and the capped octahedron.Wells A.F. (1984) Structural Inorganic Chemistry 5th edition Oxford Science Publications Examples of the capped trigonal prismatic molecular geometry are the heptafluorotantalate () and the heptafluoroniobate () ions.
In the solid state the lead(IV) centers are coordinated by four acetate ions, which are bidentate, each coordinating via two oxygen atoms. The lead atom is 8 coordinate and the O atoms form a flattened trigonal dodecahedron.
The arsenic minerals or arsenic group are a group of trigonal symmetry minerals composed of arsenic-like elements, and one alloy. The elements are arsenic, antimony and bismuth. The alloy is stibarsen (SbA) an alloy of arsenic and antimony.
The geometry is common for certain main group compounds that have a stereochemically active lone pair, as described by VSEPR theory. Certain compounds crystallize in both the trigonal bipyramidal and the square pyramidal structures, notably [Ni(CN)5]3−.
Molar volume vs. pressure at room temperature. Eskolaite crystallizes with trigonal symmetry in the space group R'c and has the lattice parameters a = 4.95 Å and c = 13.58 Å at standard conditions. The unit cell contains six formula units.
BISBI, a diphosphine with a bite angle of 113°. With a bite angle of approximately 113°, BISBI spans sites on equatorial plane of the trigonal bipyramidal intermediate complex (Figure 6). Figure 6. BISBI occupies sites on the equatorial plane.
Nitrogen inversion is the distortion of pyramidal amines through a transition state that is trigonal planar. Pyramidalization is a distortion of this molecular shape towards a tetrahedral molecular geometry. One way to observe this distortion is in pyramidal alkenes.
InIX2− is produced when the In2X62− ion disproportionates. Salts containing the InI ions have been made and their vibrational spectra interpreted as showing that they have C3v symmetry, trigonal pyramidal geometry, with structures similar to the isoelectronic Sn ions.
Canadian Journal of Chemistry, 53, 3394–3400. Even so, ammonium fluorosilicate assumes a trigonal form at pressures of 0.2 to 0.3 GPa. The reaction is irreversible. If it is not bararite, the phase is at least very closely related.
The polymeric borates, comprising linked trigonal and tetrahedral BO3 or BO4 units, are built on similar structural principles.Cotton, Wilkinson & Gaus 1995, pp. 319, 321 The oxide SiO2 is polymeric in structure, weakly acidic,Smith 1990, p. 175 and a glass former.
9; Craig & Maher 2003, p. 391\. Selenium is "near metalloidal". Its most stable form, the grey trigonal allotrope, is sometimes called "metallic" selenium because its electrical conductivity is several orders of magnitude greater than that of the red monoclinic form.
The geometry of a molecule of BF3 is trigonal planar. Its D3h symmetry conforms with the prediction of VSEPR theory. The molecule has no dipole moment by virtue of its high symmetry. The molecule is isoelectronic with the carbonate anion, .
The molecular symmetry is D2h. The monomer AlBr3, observed only in the vapor, can be described as trigonal planar, D3h point group. The atomic hybridization of aluminium is often described as sp2. The Br-Al-Br bond angles are 120 °.
It is prepared by treating tantalum metal with fluorine gas. NbF5 is prepared similarly. Solid and molten TaF5 is tetrameric, consisting of four TaF6 centers linked via bridging fluoride centers. Gaseous TaF5 adopts the trigonal pyramidal structure with D3h symmetry.
Carlosruizite is a trigonal mineral with lattice spacing a=9.59, c=27.56 Å, Z=1 and V=2,195.11. It has a structure bearing a distant resemblance to those of the alunite group. These structures are rhombohedral or trigonal, with axial lengths of about 7 Å, and contain layers consisting of sheets of tetrahedral sulfate anions joined to an [6]Al (or [6]Fe) sheet, including OH groups, and the layers are separated by K (or Na) ions. Carlosruizite was, along with fuenzalidaite, the first minerals of this type in which a layer of IO3 groups occurred.
Cadmium tetrafluoroborate is an ionic compound formed from the two, ionic species Cd2+ and BF4−. At room temperature it forms colorless, odorless crystals which are soluble in polar solvents such as water or ethanol. At room temperature, the hydrated salt, Cd(BF4)2·6H2O, exists in a monoclinic crystal system, though this is temperature dependent. Two, first-order phase transitions have been noted in the literature for this material, one each at 324 K and 177 K, representing a change in the crystal system from monoclinic to trigonal and from trigonal to either monoclinic or triclinic, respectively.
For example, decay of tritiated methane, (R = R′ = R″ = H) produces the carbenium ion in a tetrahedral conformation, with one of the orbitals having a single unpaired electron and the other three forming a trigonal pyramid. The ion then relaxes to its more favorable trigonal planar form, with release of about 30 kcal/mol of energy—that goes into vibrations and rotation of the ion. The carbocation then can interact with surrounding molecules in many reactions that cannot be achieved by other means. When formed within a rarefied gas, the carbocation and its reactions can be studied by mass spectrometry techniques.
The gordaite mineral from Juan de Fuca has a trigonal crystal structure and its formula is Zn4Na(OH)6(SO4)Cl·6H2O. Utilizing electron microprobe analysis to define gordaite’s chemical composition is difficult because of its intricate chemical layering. According to the study done using the Philips XL 30 SEM (scanning electron microscope), the analysis of sodium could not be completed because the lines of zinc (Zn-Lα) were so intense that they overlapped the Na-K lines. The sample from Germany is a trigonal structure with lattice perimeters: a = 8.364 Å and c = 13.046 Å respectively.
W(CH3)6 adopts a distorted trigonal prismatic geometry with C3v symmetry for the WC6 framework and C3 symmetry including the hydrogen atoms. The structure (excluding the hydrogen atoms) can be thought of as consisting of a central atom, capped on either side by two eclipsing sets of three carbon atoms, with one triangular set slightly larger but also closer to the central atom than the other. The trigonal prismatic geometry is unusual in that the vast majority of six-coordinate organometallic compounds adopt octahedral molecular geometry. In the initial report, the IR spectroscopy results were interpreted in terms of an octahedral structure.
This trend is due to the amide character of the β-lactam being reduced by the aplanarity of the system. The nitrogen atom of an ideal amide is sp2-hybridized due to resonance, and sp2-hybridized atoms have trigonal planar bond geometry. As a pyramidal bond geometry is forced upon the nitrogen atom by the ring strain, the resonance of the amide bond is reduced, and the carbonyl becomes more ketone-like. Nobel laureate Robert Burns Woodward described a parameter h as a measure of the height of the trigonal pyramid defined by the nitrogen (as the apex) and its three adjacent atoms.
Spherocobaltite or sphaerocobaltite is a cobalt carbonate mineral with chemical composition CoCO3. In its (rare) pure form, it is typically a rose- red color, but impure specimens can be shades of pink to pale brown. It crystallizes in the trigonal crystal system.
Eucryptite is a lithium bearing aluminium silicate mineral with formula LiAlSiO4. It crystallizes in the trigonal - rhombohedral crystal system. It typically occurs as granular to massive in form and may pseudomorphically replace spodumene. It has a brittle to conchoidal fracture and indistinct cleavage.
Sabieite is a mineral with the chemical formula (NH4)Fe3+(SO4)2. Its type locality is Lone Creek Falls cave, Sabie, Pilgrim's Rest District (Ehlanzeni), Mpumalanga Province, South Africa. Its crystals are trigonal to trapezohedral. It is white and leaves a white streak.
This trigonal bipyramidal structure persists in nonpolar solvents, such as CS2 and CCl4. In the solid state PCl5 is an ionic compound, formulated . Structure of solid phosphorus pentachloride, illustrating its autoionization at higher concentrations. In solutions of polar solvents, PCl5 undergoes self-ionization.
Anhydrous FeF2 adopts the TiO2 rutile structure. As such, the iron cations are octahedral and fluoride anions are trigonal planar. The tetrahydrate can exist in two structures, or polymorphs. One form is rhombohedral and the other is hexagonal, the former having a disorder.
Crystal symmetry is trigonal. Minute glistening crystals have also been found loose in cavities in altered rhyolite. Alunite varies in color from white to yellow gray. The hardness on the Mohs scale is 4 and the specific gravity is between 2.6 and 2.8.
Tellurobismuthite is a telluride mineral: bismuth telluride (Bi2Te3). It crystallizes in the trigonal system. There are natural cleavage planes in the (0001) direction as the crystal is effectively lamellar (layered) in that plane. The Mohs hardness is 1.5 - 2 and the specific gravity is 7.815.
AsCl5 and SbCl5 also adopt trigonal bipyramidal structures. The relevant bond distances are 211 pm (As−Cleq), 221 pm (As−Clax), 227 pm (Sb−Cleq), and 233.3 pm (Sb−Clax). At low temperatures, SbCl5 converts to the dimer, dioctahedral Sb2Cl10, structurally related to niobium pentachloride.
In the first step carbonyl group withdraws electrons from phosphorus of the phosphate making it electron poor, i.e. leaving it with a positive charge. Simultaneously OH− donates an electron pair to the nominally positive phosphorus in phosphate. A trigonal bipyramidal intermediate state is formed.
A nonahydrate is been characterized in the solid state, with a face-capped trigonal prism structure. The Shannon radius for 9-coordinate bismuth (115 pm) is comparable to that of neodymium (116.3 pm) for which a solvation number of 9 is well- established.Richens, p. 157.
For first row transition metal complexes such as Ni2+ and Cu+ also form five-coordinate 18-electron species which vary from square pyramidal to trigonal bipyramidal. :Octahedral high spin: 2 unpaired electrons, paramagnetic, substitutionally labile. :Square planar low spin: no unpaired electrons, diamagnetic, substitutionally inert.
Relativistic effects on the electron orbitals of superheavy elements is predicted to influence the molecular geometry of some compunds. For instance, the 6d5/2 electrons in nihonium play an unexpectedly strong role in bonding, so NhF3 should assume a T-shaped geometry, instead of a trigonal planar geometry like its lighter congener BF3. In contrast, the extra stability of the 7p1/2 electrons in tennessine are predicted to make TsF3 trigonal planar, unlike the T-shaped geomtry observed for IF3 and predicted for AtF3; similarly, OgF4 should have a tetrahedral geometry, while XeF4 has a square planar geometry and RnF4 is predicted to have the same.
However, REB9N compounds have not been identified yet. Sc, Y, Ho, Er, Tm and Lu are confirmed to form REB15.5CN-type compounds. Single-crystal structure analysis yielded trigonal symmetry for ScB15.5CN (space group Pm1 (No.164) with a = 0.5568(2) and c = 1.0756(2) nm), and the deduced atomic coordinates are summarized in table IVa. REB22C2N was synthesized for Y, Ho, Er, Tm and Lu. The crystal structure, solved for a representative compound YB22C2N, belongs to the trigonal with space group Rm (No.166); it has six formula units in the unit cell and lattice constants a = b = 0.5623(0) nm and c = 4.4785(3) nm.
Three-coordinate compounds of boron typically exhibit trigonal planar geometry, therefore the boroxine ring is locked in a planar geometry as well.Onak, T. in Organoborane Chemistry; Maitles, P.M., Stone, F.G.A., West, R., Eds.; Academic Press: New York, 1975; pp. 2,4,16,44. These compounds are isoelectronic to benzene.
Also, when the cation is formed the central carbon is rehybridised from sp3 to sp2 Orbital hybridisation. This causes the atoms to exhibit a trigonal planar arrangement and shortens the covalent bonds around the central carbon in the cation due to the increase in S character.
WS2 adopts a layered structure similar, or isotypic with MoS2, instead with W atoms situated in trigonal prismatic coordination sphere (in place of Mo atoms). Owing to this layered structure, WS2 forms inorganic nanotubes, which were discovered after heating a thin sample of WS2 in 1992.
As2S3 occurs both in crystalline and amorphous forms. Both forms feature polymeric structures consisting of trigonal pyramidal As(III) centres linked by sulfide centres. The sulfide centres are two-fold coordinated to two arsenic atoms. In the crystalline form, the compound adopts a ruffled sheet structure.
The first appearance of a system of gematria using the natural order of the English alphabet was developed in 1532 by Michael Stifel, who also proposed a system called the trigonal alphabet, using successive triangular numbers.Dudley, Underwood. Numerology, Or, What Pythagoras Wrought. Cambridge University Press, 1997.
Fougèrite crystallizes in trigonal system. The ideal formula for fougèrite is [Fe2+4Fe3+2(OH)12][CO3]·3H2O. Higher degrees of oxidation produce the other members of the fougèrite group, namely trébeurdenite, [Fe2+2Fe3+4O2(OH)10][CO3]·3H2O and mössbauerite, [Fe3+6O4(OH)8][CO3]·3H2O.
Crystal structure of SOCl2 SOCl2 adopts a trigonal pyramidal molecular geometry with Cs molecular symmetry. This geometry is attributed to the effects of the lone pair on the central sulfur(IV) center. In the solid state SOCl2 forms monoclinic crystals with the space group P21/c.
The strain of a carbon framework is also reflected in the pyramidalization angle (Өp) of the carbon constituents. Trigonal carbon atoms (sp2 hybridized) prefer a planar orientation with Өp=0° (i.e. graphene) and fullerene molecules have Өp= 11.6°. The (5,5) SWNT has Өp~6° for the sidewall.
In the body, ethylmercury is most commonly encountered as derivatives with a thiolate attached to the mercury. In these compounds, Hg(II) has a linear or sometimes trigonal coordination geometry. Given the comparable electronegativities of mercury and carbon, the mercury-carbon bond is described as covalent.
Trigonal, tetragonal and hexagonal crystals have a single optic axis, parallel to the c crystal axis. They are said to be uniaxial. Triclinic, monoclinic and orthorhombic crystals have two optic axes, and are said to be biaxial. The angle between the two axes is denoted by 2V.
Deviation from octahedral geometry can be ascribed to an effect known as a second-order Jahn-Teller distortion. In 1995, before the work of Seppelt and Pfennig, Landis and coworkers had already predicted a distorted trigonal prismatic structure based on valence bond theory and VALBOND calculations.
The compound exists as a dimer, with a pair of octahedral tungsten(V) centres bridged by two chloride ligands. The W---W separation is 3.814 Å, which is non-bonding. The compound is isostructural with Nb2Cl10 and Mo2Cl10. The compound evaporates to give trigonal bipyramidal WCl5 monomers.
Tantalum(IV) sulfide is the inorganic compound with the formula TaS2. It is a layered compound with three-coordinate sulfide centres and trigonal prismatic metal centres. It is structurally similar to the more famous material molybdenum disulfide, MoS2. TaS2 is a semiconductor with d1 electron configuration.
Platinum diselenide forms crystals in the cadmium iodide structure. This means that the substance forms layers. Each of the monolayers has a central bed of platinum atoms, with a sheet of selenium atoms above and below. This structure is also called "1T" and has an trigonal structure.
Geikielite is a magnesium titanium oxide mineral with formula: MgTiO3. It is a member of the ilmenite group. It crystallizes in the trigonal system forming typically opaque, black to reddish black crystals. It was first described in 1892 for an occurrence in the Ceylonese gem bearing gravel placers.
Both of these mechanism product complexes wherein the ligating atoms (X in the scheme) are arranged in an approximate trigonal prism. This pathway is called the Ray–Dutt twist in honor of Prafulla Chandra Ray and N. K. Dutt, the inorganic chemists who proposed this process. Ray-Dutt mechanism.
The most common coordination number for d-block transition metal complexes is 6. The CN does not distinguish the geometry of such complexes, i.e. octahedral vs trigonal prismatic. For transition metal complexes, coordination numbers range from 2 (e.g., AuI in Ph3PAuCl) to 9 (e.g., ReVII in [ReH9]2−).
Arctite crystals Arctite (Na2Ca4(PO4)3F) is a colourless mineral found in the Kola Peninsula northern Russia.Mineral Handbook It has a Mohs hardness of 5 and has a specific gravity of 3.13. Arctite is transparent with a vitreous lustre. Arctite has a perfect cleavage and a trigonal crystal system.Mindat.
Borates are boron-oxygen compounds, which form boron oxyanions. These can be trigonal or tetrahedral in structure, or more loosely can consist of chemical mixtures which contain borate anions of either description. The element boron most often occurs in nature as borates, such as borate minerals and borosilicates.
In terms of valence bond theory, the bonds are formed by using sp2 hybrid orbitals on boron. Some compounds termed orthoborates do not necessarily contain the trigonal planar ion, for example, gadolinium orthoborate GdBO3 contains the polyborate [B3O9]9− ion, whereas the high-temperature form contains planar [BO3]3−.
The first stable silanone was obtained in 2014 by A. Filippou and others.Alexander C. Filippou, Bernhard Baars, Yury N. Lebedev, and Gregor Schnakenburg (2014): "Silicon–Oxygen Double Bonds: A Stable Silanone with a Trigonal‐Planar Coordinated Silicon Center". Angewandte Chemie International Edition, volume 53, issue 2, pages 565–570. .
Tachyhydrite is an unstable mineral, a hydrous chloride of calcium and magnesium with formula: CaMg2Cl6·12H2O. It is a rare component of marine evaporite salt deposits. Upon exposure to moist air it rapidly deliquesces and dissolves. It forms a colorless to yellow trigonal crystal with a vitreous luster.
An atom bonded to 5 other atoms (and no lone pairs) forms a trigonal bipyramid; but in this case one of the atoms is replaced by a lone pair. The atom replaced is always an equatorial atom, because the lone pairs repel other electrons more strongly than atoms do.
Leadhillite has a layered structure. The mineral contains both carbonate and sulfate groups, and these are arranged in separate sheets. Pairs of carbonate sheets 8(PbCO3) alternate with pairs of sulfate sheets 8[Pb(SO4)0.5OH]. The carbonate sheets virtually have trigonal symmetry, but the sulfate sheets do not.
Crystals are stout prismatic, with a curved convex trigonal outline, generally elongated and striated parallel to the c axis. Crystals are hemimorphic, meaning that the two ends of the crystal have different forms. Fluor-liddicoatite usually has a pedion (a single crystal face) opposite one or two pyramids.
A large number of organoboron compounds are known and many are useful in organic synthesis. Many are produced from hydroboration, which employs diborane, B2H6, a simple borane chemical. Organoboron(III) compounds are usually tetrahedral or trigonal planar, for example, tetraphenylborate, [B(C6H5)4]− vs. triphenylborane, B(C6H5)3.
The compound Cs2K2TeO5 contains ions which are trigonal bipyramidal. The compound Rb6Te2O9 contains both and anions. Other compounds whose stoichiometry suggests the presence of may contain either the dimeric made up of two edge-sharing {TeO6} as in Li4TeO5 and Ag4TeO5 or corner-sharing {TeO6} octahedra as in Hg2TeO5.
Bernard, J.H. and Hyrsl, J. (2004) Minerals and their Localities, 807 p. Granit, s.r.o., Prague (Quintinite, p. 503). These hexagonal and trigonal forms of quintinite are both from the hexagonal crystal systems, meaning they both have similar lengths of their crystal axes and the same angles between these axes.
Its crystal system is trigonal hexagonal scalenohedral with symbol 2/m. It belongs to the space group Rm. Shandite is an anisotropic mineral, which means it has different properties when being viewed from different directions. In cross-polarized light it appears as gray blue or yellow-brown colors.
Dithiolene complexes can be found where the metal centre is coordinated by one, two, or three dithiolene ligands. The tris(dithiolene) complexes were the first examples of trigonal prismatic geometry in coordination chemistry. One example is Mo(S2C2Ph2)3. Similar structures have been observed for several other metals.
The results also similarly suggested a Cu-dependent regulatory role for the MBD. In the Archaeoglobus fulgidus CopA (TC# 3.A.3.5.7), invariant residues in helixes 6, 7 and 8 form two transmembrane metal binding sites (TM-MBSs). These bind Cu+ with high affinity in a trigonal planar geometry.
Aryl halides cannot undergo the classic 'backside' SN2 reaction. The carbon- halogen bond is in the plane of the ring because the carbon atom has a trigonal planar geometry. Backside attack is blocked and this reaction is therefore not possible. An SN1 reaction is possible but very unfavourable.
CNMNC Newsletter, April 2010, 376; Mineralogical Magazine 74, 375-377 Red crystals of tancaite-(Ce) resemble modified cubes, but the mineral is trigonal (space group R-3). The type locality of tancaite-(Ce) is also a place of discovery of other molybdate minerals, including thorium molybdates ichnusaite and nuragheite.
Thanks to the high electrophilicity of the P atoms in the ring and the nature of chloride as a good leaving group, hexachlorophosphazene may readily react with nucleophiles which substitute a Cl off the P via a mechanism described as SN2 attack at phosphorus. The transition state is not particularly difficult to form when steric factors are not interfering, as its pentacoordinate trigonal bipyramidal arrangement at P is not uncommon at all for P(V) compounds. A particularly common substitution is that with alkoxides of both aliphatic and aromatic alcohols, which proceeds readily when the alcohol is already deprotonated to yield hexasubstituted triphosphazenes. A SN2 substitution at hexachlorotriphosphazene P. Note the trigonal bipyramidal transition state.
A thiosulfoxide is a chemical compound containing a sulfur to sulfur double bond of the type RR'S=S with R and R' both alkyl or aryl residues. The thiosulfoxide has a molecular shape known as trigonal pyramidal. Its coordination is also trigonal pyramidal. The point group of the thiosulfoxide is Cs. A 1982 review concluded that there was as yet no definitive evidence for the existence of stable thiosulfoxides Compounds containing the sulfur- sulfur double bond Gerald W. Kutney, and Kenneth Turnbull Chem. Rev., 1982, 82 (4), 333-357 which can be attributed to the double bond rule which states that elements of period 3 and beyond do not form multiple bonds.
Finally, the triiodide ion () is also based upon a trigonal bipyramid, but the actual molecular geometry is linear with terminal iodine atoms in the two axial positions only and the three equatorial positions occupied by lone pairs of electrons (AX2E3); another example of this geometry is provided by xenon difluoride, XeF2.
The compound is exclusively a monomer in the gas phase. In the gas phase it adopts D3h symmetric trigonal bipyramidal geometry as indicated by electron diffraction. As a solid, VF5 forms a polymeric structure with fluoride-bridged octahedral vanadium centers. The formation enthalpy of VF5 is -1429.4 ± 0.8 kJ/mol.
Beudantite also forms a solid-solution with segnitite and plumbojarosite. It crystallizes in the trigonal crystal system and shows a variety of crystal habits including tabular, acute rhombohedral, pseudo-cubic and pseudo-cuboctahedral. It occurs in association with carminite, scorodite, mimetite, dussertite, arseniosiderite, pharmacosiderite, olivenite, bayldonite, duftite, anglesite, cerussite and azurite.
Titanium tetrabromide forms adducts such as TiBr4(THF)2 and [TiBr5]−. With bulky donor ligands, such as 2-methylpyridine (2-Mepy), five-coordinated adducts form. TiBr4(2-MePy) is trigonal bipyramidal with the pyridine in the equatorial plane. TiBr4 has been used as a Lewis-acid catalyst in organic synthesis.
It crystallizes in the trigonal system, and cleaves with rhombohedral carbonate cleavage in three directions. Crystal twinning often is present. It is transparent to translucent with refractive indices of nω=1.814 to 1.816, nε=1.596 to 1.598. It is often confused with the manganese silicate, rhodonite, but is distinctly softer.
Each axial perchlorate oxygen is hydrogen bonded to three water molecules and each trigonal oxygen is hydrogen bonded to two water molecules. This interaction is the reason that the perchlorate fails to be tetrahedral. Gallucci and Gerkin surmised that the water molecule H atoms lie in the plane at z = and .
Antimony is resistant to attack by acids. Four allotropes of antimony are known: a stable metallic form and three metastable forms (explosive, black and yellow). Elemental antimony is a brittle, silver-white shiny metalloid. When slowly cooled, molten antimony crystallizes in a trigonal cell, isomorphic with the gray allotrope of arsenic.
An example salt is caesium pentanitratoaluminate Cs2[Al(NO3)5]. caesium pentanitratoaluminate crystallises in the trigonal form with α = 11.16 Å, c = 10.02 Å, formula mass 602.85, with three molecules per unit cell. The unit cell volume is 1080 Å3, measured density 2.69 g/cm3. The space group is P3121.
Huntite is a carbonate mineral with the chemical formula Mg3Ca(CO3)4. Huntite crystallizes in the trigonal system and typically occurs as platy crystals and powdery masses. The most common industrial use of huntite is as a natural mixture with hydromagnesite as a flame retardant or fire retardant additive for polymers.
At higher temperatures, the Al2Cl6 dimers dissociate into trigonal planar AlCl3, which is structurally analogous to BF3. The melt conducts electricity poorly, unlike more-ionic halides such as sodium chloride. 500px Aluminium chloride monomer belongs to the point group D3h in its monomeric form and D2h in its dimeric form.
Dargaite is a rare mineral with formula BaCa12(SiO4)4(SO4)2O3. It is the barium-analogue of nabimusaite, also differing from it in the lack of fluorine. It is one of many recently approved new minerals coming from the Hatrurim complex. Dargaite, as nabimusaite, is trigonal (space group R-3m).
Zinc ions are surrounded by oxygen in a nearly perfect trigonal bipyramid and phosphate groups are tetrahedral. The crystal structure consists of zig-zag chains of Zn1 polyhedra linked by phosphate groups and pairs of Zn2 polyhedra. In each unit cell are two formula units of Zn2(PO4)(OH).Cocco, p. 321.
During Hg2+ transfer to the catalytic active site from the C terminus cysteine residues, a trigonal planar intermediate is formed stabilized by hydrogen bonding of a water molecule to the thiolates. The water molecule is held in place by hydrogen bonding from the hydroxyl group of a nearby tyrosine residue (Tyr-194).
TiO2 has the rutile structure. The titanium atoms 6-coordinate, 2 atoms at 198.3 pm and 4 at 194.6 pm, in a slightly distorted octahedron. The octahedra around the titanium atoms share edges and vertices to form a 3-D network. The oxide ions are 3-coordinate in a trigonal planar configuration.
The vacancy has three unpaired electrons. Two of them make a quasi covalent bond and one remains unpaired. The overall symmetry, however, is axial (trigonal C3V); one can visualize this by imagining the three unpaired vacancy electrons continuously exchanging their roles. The N-V0 thus has one unpaired electron and is paramagnetic.
In geometry, a triakis octahedron (or trigonal trisoctahedron or kisoctahedronConway, Symmetries of things, p.284) is an Archimedean dual solid, or a Catalan solid. Its dual is the truncated cube. It can be seen as an octahedron with triangular pyramids added to each face; that is, it is the Kleetope of the octahedron.
Pentamethylantimony or pentamethylstiborane is an organometalllic compound containing five methyl groups bound to an antimony atom with formula Sb(CH3)5. It is an example of a hypervalent compound. The molecular shape is trigonal bipyramid. Some other antimony(V) organometallic compounds include pentapropynylantimony (Sb(CCCH3)5) and pentaphenyl antimony (Sb(C6H5)5).
As described by the VSEPR model, the five valence electron pairs on the central atom form a trigonal bipyramid in which the three lone pairs occupy the less crowded equatorial positions and the two bonded atoms occupy the two axial positions at the opposite ends of an axis, forming a linear molecule.
Brown-colored protactinium(III) iodide has been reported where protactinium ions are 8-coordinated in a bicapped trigonal prismatic arrangement.Greenwood, p. 1270 Coordination of protactinium (solid circles) and halogen atoms (open circles) in protactinium(V) fluoride or chloride. Protactinium(V) fluoride and protactinium(V) chloride have a polymeric structure of monoclinic symmetry.
Otavite is a rare cadmium carbonate mineral with the formula CdCO3. Otavite crystallizes in the trigonal system and forms encrustations and small scalenohedral crystals that have a pearly to adamantine luster. The color is white to reddish to yellow brown. Its Mohs hardness is 3.5 to 4 and the specific gravity is 5.04.
Vaterite is a mineral, a polymorph of calcium carbonate (CaCO3). It was named after the German mineralogist Heinrich Vater. It is also known as mu-calcium carbonate (μ-CaCO3) and has a JCPDS number of 13-192. Vaterite belongs to the hexagonal crystal system, whereas calcite is trigonal and aragonite is orthorhombic.
Thionyl tetrafluoride is an inorganic compound gas with the formula SOF4. It is also known as sulfur tetrafluoride oxide. The shape of the molecule is a distorted trigonal bipyramid, with the oxygen found on the equator. The atoms on the equator have shorter bond lengths than the fluorine atoms on the axis.
Copper(I) forms only labile complexes with ammonia, including the trigonal planar [Cu(NH3)3]+. Silver gives the diammine complex [Ag(NH3)2]+ with linear coordination geometry. It is this complex that forms when otherwise rather insoluble silver chloride dissolves in aqueous ammonia. The same complex is the active ingredient in Tollen's reagent.
Phosphorus trifluorodichloride is a chemical compound with the chemical formula PF3Cl2. The covalent molecule trigonal bipyramidal molecular geometry. The central phosphorus atom has sp3d hybridization, and the molecule has an asymmetric charge distribution. It appears as a colorless gas with a bad- smelling odor which turns to a liquid at -8 °C.
The mineral structure appears to be very similar to that of afghanite, except for the presents of strong H2O bonds. The two minerals contains the same tetrahedron structure, and alloriite appears to follow the typical ABABACAC sequencing layer chain that is found in cancrinite grouped minerals. The A is Na, the B is H2 O, where in afghanite its A is Ca and the B is Cl. Alloriite's crystal structure was found using a single crystal X-ray diffraction, which allowed mineralogists to classify it as a P31c for its point group, making it trigonal crystal structure. In relation to afghanite's and alloriite's physical properties, they both have a trigonal crystal structure, P31c space group, and then have very similar formulas.
Trigonal bipyramidal molecular shape ax = axial ligands (on unique axis) eq = equatorial ligand (in plane perpendicular to unique axis) The Berry mechanism, or Berry pseudorotation mechanism, is a type of vibration causing molecules of certain geometries to isomerize by exchanging the two axial ligands (see Figure at right) for two of the equatorial ones. It is the most widely accepted mechanism for pseudorotation and most commonly occurs in trigonal bipyramidal molecules such as PF5, though it can also occur in molecules with a square pyramidal geometry. The Berry mechanism is named after R. Stephen Berry, who first described this mechanism in 1960.RS Berry, 1960, "Correlation of rates of intramolecular tunneling processes, with application to some Group V compounds," J. Chem. Phys.
Structure of chlorine trifluoride, an example of a compound with T-shaped coordination geometry. In chemistry, T-shaped molecular geometry describes the structures of some molecules where a central atom has three ligands. Ordinarily, three-coordinated compounds adopt trigonal planar or pyramidal geometries. Examples of T-shaped molecules are the halogen trifluorides, such as ClF3.
Antimony forms two series of halides: and . The trihalides , , , and are all molecular compounds having trigonal pyramidal molecular geometry. The trifluoride is prepared by the reaction of with HF: : + 6 HF → 2 + 3 It is Lewis acidic and readily accepts fluoride ions to form the complex anions and . Molten is a weak electrical conductor.
It has a hardness of 5, the same as tooth enamel. Its specific gravity is 3.28–3.35, and it has two perfect and one very good cleavage directions. Additionally, dioptase is very fragile and specimens must be handled with great care. It is a trigonal mineral, forming 6-sided crystals that are terminated by rhombohedra.
AlH3 readily forms adducts with strong Lewis bases. For example, both 1:1 and 1:2 complexes form with trimethylamine. The 1:1 complex is tetrahedral in the gas phase, but in the solid phase it is dimeric with bridging hydrogen centres, (NMe3Al(μ-H))2. The 1:2 complex adopts a trigonal bipyramidal structure.
The mineral dolomite crystallizes in the trigonal-rhombohedral system. It forms white, tan, gray, or pink crystals. Dolomite is a double carbonate, having an alternating structural arrangement of calcium and magnesium ions. Unless it is in fine powder form, it does not rapidly dissolve or effervesce (fizz) in cold dilute hydrochloric acid as calcite does.
Nitratine or nitratite, also known as cubic niter (UK: nitre), soda niter or Chile saltpeter (UK: Chile saltpetre), is a mineral, the naturally occurring form of sodium nitrate, NaNO3. Chemically it is the sodium analogue of saltpeter. Nitratine crystallizes in the trigonal system, but rarely occurs as well formed crystals. It is isostructural with calcite.
Crystal structure of cinnabar: yellow = sulfur, grey = mercury, green = cell Structurally, cinnabar belongs to the trigonal crystal system. It occurs as thick tabular or slender prismatic crystals or as granular to massive incrustations. Crystal twinning occurs as simple contact twins. Note, mercury(II) sulfide, HgS, adopts the cinnabar structure described, and one additional structure, i.e.
The crystal structure of gadolinium oxysulfide has Trigonal symmetry (space group number 164). Each gadolinium ion is coordinated by four oxygen atoms and three sulfur atoms in a non-inversion symmetric arrangement. The Gd2O2S structure is a sulfur layer with double layers of gadolinium and oxygen in between.Rossner, W., M. Ostertag, and F. Jermann.
In the α form, these layers are perpendicular to [111] directions. In the β- and γ- forms, the layers are perpendicular to the c-axis. (Note: trigonal symmetry is part of the hexagonal group, but not all hexagonal crystals are trigonal.Klein, C. and Dutrow, B. (2008) The 23rd Edition of the Manual of Mineral Science.
Portion of lattice of [Te6](O3SCF3)2. The intra- and inter-triangle Te-Te distances are 2.70 and 3.06 Å, respectively. Hexamethyltungsten (W(CH3)6) was the first example of a molecular trigonal prismatic complex. The figure shows the six carbon atoms arranged at the vertices of a triangular prism with the tungsten at the centre.
The subsequent upper whorls are nearly smooth, but with a strong keel, which is at first spinous. The spines are horizontally spreading, but soon become more or less upturned and have the character of erect trigonal spines. On the following 3 whorls they are spreading again on the body whorl. The spines number about 20 on the body whorl.
The first characteristic a gemologist uses to identify a gemstone is its chemical composition. For example, diamonds are made of carbon (C) and rubies of aluminium oxide (). Many gems are crystals which are classified by their crystal system such as cubic or trigonal or monoclinic. Another term used is habit, the form the gem is usually found in.
Alarsite (AlAsO4) is an aluminium arsenate mineral with its name derived from its composition: aluminium and arsenate.Handbook of Mineralogy It occurs as brittle subhedral grains which exhibit trigonal symmetry. It has a Mohs hardness of 5-5.5 and a specific gravity of 3.32. It is semitransparent, colorless with pale yellow tints and shows a vitreous luster.
Donnayite crystals tend to be small and the color is commonly pale yellow to yellow with a white streak and a vitreous luster. Donnayite crystals usually display trigonal or hexagonal symmetry and have a hardness of 3. Twinning is extremely common in this mineral. Minerals closely related to donnayite include synchysite, calcite, sphalerite, microcline, and analcime.
After the iris has flowered, between July and August, it produces a fusiform (spindle shaped), trigonal, or oblong seed capsule. It is longer than the seed capsule of Iris germanica. The capsule is loculicidal (has chambers), with 3 cells, that hold dark brown, or brown seeds. The seeds are normally lined up like rolls of coins.
Heazlewoodite, Ni3S2, is a rare sulfur-poor nickel sulfide mineral found in serpentinitized dunite. It occurs as disseminations and masses of opaque, metallic light bronze to brassy yellow grains which crystallize in the trigonal crystal system. It has a hardness of 4, a specific gravity of 5.82. Heazlewoodite was first described in 1896 from Heazlewood, Tasmania, Australia.
The shell of Lioconcha castrensis reaches a maximum length of about 55 mm; it is the largest species in the genus Lioconcha. The shape of the shell is trigonal ovate, with a subtruncated posterior margin and a rounded ventral and anterior margin. This species is equivalve. The valves are quite thick and show fine wrinkled growth lines.
Plutonium atoms in crystalline PuCl3 are 9 coordinate, and the structure is tricapped trigonal prismatic.It crystallises as the trihydrate,and is highly soluble in water,forming lavender-blue solutions.John H. Burns, J. R. Peterson, J. N. Stevenson: "Crystallographic Studies of some Transuranic Trihalides: 239PuCl3, 244CmBr3, 249BkBr3 and 249CfBr3", Journal of Inorganic and Nuclear Chemistry 1975, 37 (3), 743–749; .
Through handling, balloons acquire a slight surface electrostatic charge that results in the adoption of roughly the same geometries when they are tied together at their stems as the corresponding number of electron pairs. For example, five balloons tied together adopt the trigonal bipyramidal geometry, just as do the five bonding pairs of a PCl5 molecule.
These minerals resemble silicates in some respect, although boron is often found not only in a tetrahedral coordination with oxygen, but also in a trigonal planar configuration. Unlike silicates, the boron minerals never contain boron with coordination number greater than four. A typical motif is exemplified by the tetraborate anions of the common mineral borax, shown at left.
Potassium heptafluorotantalate exists in at least two polymorphs. α-K2[TaF7] is the most common form and crystallises in the monoclinic P21/c space group. The structure is composed of [TaF7]2− units interconnected by potassium ions. [TaF7]2− polyhedra may be described as monocapped trigonal prisms with the capping atom located on one of the rectangular faces.
Cadmium chloride dissolves well in water and other polar solvents. In water, its high solubility is due in part to formation of complex ions such as [CdCl4]2−. Because of this behavior, CdCl2 is a mild Lewis acid. :CdCl2 \+ 2 Cl− → [CdCl4]2− With large cations, it is possible to isolate the trigonal bipyramidal [CdCl5]3− ion.
Thiophosgene is a red liquid with the formula CSCl2. It is a molecule with trigonal planar geometry. There are two reactive C–Cl bonds that allow it to be used in diverse organic syntheses.Manchiu D. S. Lay, Mitchell W. Sauerhoff And Donald R. Saunders "Carbon Disulfide" in Ullmann's Encyclopedia Of Industrial Chemistry, 2000, Wiley-VCH, Weinheim.
Organoiridium compounds share many characteristics with those of rhodium, but less so with cobalt. Iridium can exist in oxidation states of -III to +V, but iridium(I) and iridium(III) are the more common. iridium(I) compounds (d8 configuration) usually occur with square planar or trigonal bipyramidal geometries, whereas iridium(III) compounds (d6 configuration) typically have an octahedral geometry.
The unit cell consists of three formula units of LiAu3B. The gold atoms are placed in a hexagonal structure. Together with the boron atoms, that are placed at the centre of trigonal prisms, they form the main skeleton of the material. The lithium atoms are placed at the centre of the hexagonal structure of the gold atoms.
Many 5-coordinate vanadyl complexes have a trigonal bipyramidal geometry, such as VOCl2(NMe3)2. The coordination chemistry of V5+ is dominated by the relatively stable dioxovanadium coordination complexes which are often formed by aerial oxidation of the vanadium(IV) precursors indicating the stability of the +5 oxidation state and ease of interconversion between the +4 and +5 states.
The buds are usually 3–7 millimeters long, nearly 5 millimeters wide and have a conical or ovoid form. The color of buds is reddish brown and they are slightly covered with resin. Their scales are triangle- or trigonal-shaped with a long awl-like tip. The tree's needles are about 10 millimeters long and 2,5 millimeters wide.
Quetzalcoatlite is a rare tellurium oxysalt mineral with the formula Zn6Cu3(TeO6)2(OH)6 · AgxPbyClx+2y. It also contains large amounts of silver- and lead(II)chloride with the formula AgxPbyClx+2y (x+y≤2). It has a Moh's hardness of 3 and it crystallizes in the trigonal system. It has a deep blue color.
Fluocerite is a mineral, a cerium, lanthanum fluoride, formula . It is recognized as two different minerals depending on the cation, fluocerite-(Ce) and fluocerite-(La), corresponding respectively to lanthanum trifluoride and cerium trifluoride. Both crystallize in the trigonal system. Fluocerite-(Ce) was first described (without the Ce) in 1845 from hydrothermal veins in granite in Sweden.
The iodate anion, Space-filling model of the iodate anion An iodate is a conjugate base of iodic acid.Merriam-Webster definition In the iodate anion, iodine is bonded to three oxygen atoms and the molecular formula is . The molecular geometry of iodate is trigonal pyramidal. Iodate can be obtained by reducing a periodate with a sulfide.
Plutonium(III) fluoride or plutonium trifluoride is the chemical compound composed of plutonium and fluorine with the formula PuF3. It forms violet crystals. Plutonium(III) fluoride has the LaF3 structure where the coordination around the plutonium atoms is complex and usually described as tri-capped trigonal prismatic.Wells A.F. (1984) Structural Inorganic Chemistry 5th edition Oxford Science Publications .
Niobium triselenide has a highly anisotropic structure. The Nb centers are bound within trigonal prisms defined by six Se ligands. The NbSe6 prisms form infinite chains lined up in parallel. Although the prisms share the same coordination, the cell consists of three chain types repeated twice, where each chain is defined by its Se-Se bond length.
The VSEPR theory can be extended to molecules with an odd number of electrons by treating the unpaired electron as a "half electron pair" — for example, Gillespie and Nyholm suggested that the decrease in the bond angle in the series (180°), NO2 (134°), (115°) indicates that a given set of bonding electron pairs exert a weaker repulsion on a single non-bonding electron than on a pair of non-bonding electrons. In effect, they considered nitrogen dioxide as an AX2E0.5 molecule, with a geometry intermediate between and . Similarly, chlorine dioxide (ClO2) is an AX2E1.5 molecule, with a geometry intermediate between and . Finally, the methyl radical (CH3) is predicted to be trigonal pyramidal like the methyl anion (), but with a larger bond angle (as in the trigonal planar methyl cation ()).
Organometallic rhodium compounds share many characteristics with those of iridium, but less so with cobalt. Rhodium can exist in oxidation states of -III to +V, but rhodium(I) and rhodium(III) are the more common. Rhodium(I) compounds (d8 configuration) usually occur with square planar or trigonal bipyramidal geometries, while rhodium (III) compounds (d6 configuration) typically have an octahedral geometry.
Potassium nitrate has an orthorhombic crystal structure at room temperature, which transforms to a trigonal system at . Potassium nitrate is moderately soluble in water, but its solubility increases with temperature. The aqueous solution is almost neutral, exhibiting pH 6.2 at for a 10% solution of commercial powder. It is not very hygroscopic, absorbing about 0.03% water in 80% relative humidity over 50 days.
They are (scarious) membranous, in the top third of the leaf and along the edges. The stems hold 2 or 3 terminal (top of stem) flowers, blooming between March and April. The flowers come in shades of lilac or purple, with a darker mottling. It has a deep purple, trigonal, long perianth tube, and a 1.2–2 cm long pedicel.
Carlosruizite is a sulfate or selenate – iodate mineral with chemical formula: K6(Na,K)4Na6Mg10(SeO4)12(IO3)12·12H2O. It has a low density (specific gravity of 3.36), colorless to pale yellow, transparent mineral which crystallizes in the trigonal crystal system.Webmineral.com It forms a series with fuenzalidaite. It was first discovered in 1994 in the locality of Zapiga, Tarapacá Region of Chile.
Above NpFe2 is also paramagnetic and cubic. Cooling below the Curie temperature produces a rhombohedral distortion wherein the rhombohedral angle changes from 60° (cubic phase) to 60.53°. An alternate description of this distortion is to consider the length c along the unique trigonal axis (after the distortion has begun) and a as the distance in the plane perpendicular to c.
The trifluorosulfate ion has a distorted trigonal bipyramid shape with C2v symmetry. On the equator are two oxygen atoms with a bond to sulfur of length 143.2 pm. Also on fluorine atom on the equator has length 157.9 pm. The two other fluorine atoms at the apexes of the pyramids have bond lengths 168.5 pm and form an angle ∠FSF of 165.2°.
The monoclinic form contains tetramers, Sn4F8, where there are two distinct coordination environments for the Sn atoms. In each case, there are three nearest neighbours, with Sn at the apex of a trigonal pyramid, and the lone pair of electrons sterically active.Wells A.F. (1984) Structural Inorganic Chemistry 5th edition Oxford Science Publications Other forms reported have the GeF2 and paratellurite structures.
Chalcedony () is a cryptocrystalline form of silica, composed of very fine intergrowths of quartz and moganite. These are both silica minerals, but they differ in that quartz has a trigonal crystal structure, while moganite is monoclinic. Chalcedony's standard chemical structure (based on the chemical structure of quartz) is SiO2 (silicon dioxide). Chalcedony has a waxy luster, and may be semitransparent or translucent.
It is also sometimes called a trisoctahedron, or, more fully, trigonal trisoctahedron. Both names reflect the fact that it has three triangular faces for every face of an octahedron. The tetragonal trisoctahedron is another name for the deltoidal icositetrahedron, a different polyhedron with three quadrilateral faces for every face of an octahedron. This convex polyhedron is topologically similar to the concave stellated octahedron.
The shells are smooth, relatively flat, oval or somewhat trigonal in shape, and less than 30 mm long.Macoma balthica (Linnaeus, 1758) Marine Bivalve Shells of the British Isles. National Museum Wales (2014) The shell color is polymorphic, varying between individuals and between localities. Often most specimens are white, sometimes most are pink, and also yellow and orange shells may occur.
Physical properties of elements and compounds that provide conclusive evidence of chemical composition include odor, color, volume, density (mass per unit volume), melting point, boiling point, heat capacity, physical form and shape at room temperature (solid, liquid or gas; cubic, trigonal crystals, etc.), hardness, porosity, index of refraction and many others. This section discusses some physical properties of materials in the solid state.
Ikranite is a member of the eudialyte group, named after the Shubinov Institute of Crystallography of the Russian Academy of Sciences. It is a cyclosilicate mineral that shows trigonal symmetry with the space group R3m, and is often seen with a pseudo-hexagonal habit.Ikranite on Mindat.org Ikranite appears as translucent and ranges in color from yellow to a brownish yellow.
These data suggest that RiAFP is a well-folded β-helical protein, having six β-strand regions consisting of 13-amino acids (including one TxTxTxT binding motif) per strand. Primary crystallographic studies, have been published on a RiAFP crystal (which diffracted to 1.3Å resolution) in the trigonal space group P3121 (or P3221), with unit-cell parameters a = b = 46.46, c = 193.21Å.
Lima is a genus of file shells or file clams, marine bivalve molluscs in the family Limidae, the file shells, within the subclass Pteriomorphia.Abbott, R.T. & Morris, P.A. A Field Guide to Shells: Atlantic and Gulf Coasts and the West Indies. New York: Houghton Mifflin, 1995. 32. The shells are obliquely trigonal, and strongly radially ribbed, the ribs scabrous to spinose.
The core of the compound, BC3, has a trigonal planar structure. The phenyl groups are rotated at about a 30° angle from the core plane. Even though triphenylborane and tris(pentafluorophenyl)borane are structurally similar, their Lewis acidity is not. BPh3 is a weak Lewis acid while B(C6F5)3 is a strong Lewis acid due to the electronegativity of the fluorine atoms.
It is quite soft with a Mohs hardness of 2.5 and a relatively high specific gravity of 6.26 to 6.55. It was discovered in 1832 in the Susannah Mine, Leadhills in the county of Lanarkshire, Scotland. It is trimorphous with susannite and macphersonite (these three minerals have the same formula, but different structures). Leadhillite is monoclinic, susannite is trigonal and macphersonite is orthorhombic.
Gaseous SO3 is a trigonal planar molecule of D3h symmetry, as predicted by VSEPR theory. SO3 belongs to the D3h point group. In terms of electron-counting formalism, the sulfur atom has an oxidation state of +6 and a formal charge of 0. The Lewis structure consists of an S=O double bond and two S–O dative bonds without utilizing d-orbitals.
One variant of MMFF94 is MMFF94s, which has different out-of-plane bending and dihedral torsion parameters in order to planarize delocalized trigonal nitrogen atoms, e.g. in aniline.MMFF VI. MMFF94s option for energy minimization studies, Thomas A. Halgren, J. Comput. Chem.; 1999; 720-729, The "s" in MMFF94s stands for "static", as MMFF94s better reflects time-averaged geometries than MMFF94.
By F. Albert Cotton, Geoffrey Wilkinson, Carlos A. Murillo, and Manfred Bochmann. 6th ed. N.p.: n.p., 1999. 143-46. Print. Each boron is sp3 hybridized, and “the configuration of the three hydrogens surrounding borons B1 and B3 is approximately trigonal and suggests approximately tetrahedral hybridization for these borons which would predict bond angles of 120°.”Lipscomb, William N. Boron Hydrides.
Aerugite is a rare complex nickel arsenate mineral with a variably reported formula: Ni9(AsO4)2AsO6. It forms green to deep blue-green trigonal crystals. It has a Mohs hardness of 4 and a specific gravity of 5.85 to 5.95. It was first described in 1858 in either the South Terres mine of Cornwall, England or in Erzgebirge, Saxony, Germany.
Californium(III) fluoride (CfF3) is a yellow-green solid with a crystal symmetry that gradually changes from orthorhombic to trigonal when heated above room temperature. Californium(IV) fluoride (CfF4) is a bright green solid with a monoclinic crystal structure. Californium(II) iodide (CfI2) is a deep purple solid with a stable rhombohedral structure at room temperature and an unstable hexagonal structure.
Selenium in SeF4 has an oxidation state of +4. Its shape in the gaseous phase is similar to that of SF4, having a see-saw shape. VSEPR theory predicts a pseudo-trigonal pyramidal disposition of the five electron pairs around the selenium atom. The axial Se-F bonds are 177 pm with an F-Se-F bond angle of 169.2°.
General structure of nontrigonal pnictogen compounds Nontrigonal pnictogen compounds refer to tricoordinate trivalent pnictogen (phosphorus, arsenic, antimony and bismuth: P, As, Sb and Bi) compounds that are not of typical trigonal pyramidal molecular geometry. By virtue of their geometric constraint, these compounds exhibit distinct electronic structures and reactivities, which bestow on them potential to provide unique nonmetal platforms for bond cleavage reactions.
It is commonly found as translucent small rhombohedral crystals that have angles close to 90 degrees although its crystal system is nominally trigonal. Its Mohs hardness is 2.5, with an average specific gravity of 2.8. It occurs in the oxidized zone of uranium-bearing polymetallic ore deposits. It also may occur as an efflorescent crust on the walls and timbers of uranium mines.
This contrasts with carbocations, which have a preference for unoccupied nonbonding orbitals of pure atomic p character, leading to planar and linear geometries, respectively, for alkyl and alkenyl carbocations.An alkyl carbanion is trigonal pyramidal. 300x300px However, delocalized carbanions may deviate from these geometries. Instead of residing in a hybrid orbital, the carbanionic lone pair may instead occupy a p orbital (or an orbital of high p character).
Segnitite exhibits weak pleochroism from a pale yellow to a more moderate yellow under different angles of plane polarized light, although the effects can be much more dramatic under polarized light. Dichroism and trichroism are both types of pleochroism. The term dichroism is used to describe optical properties of minerals that are uniaxial, including segnitite. Minerals that exhibit dichroism are generally trigonal, hexagonal and tetragonal.
Gallium trichloride is a common starting reagent for the formation of organogallium compounds, such as in carbogallation reactions. Gallium trichloride reacts with lithium cyclopentadienide in diethyl ether to form the trigonal planar gallium cyclopentadienyl complex GaCp3. Gallium(I) forms complexes with arene ligands such as hexamethylbenzene. Because this ligand is quite bulky, the structure of the [Ga(η6-C6Me6)]+ is that of a half-sandwich.
Acetophenone and α-phenylethanol Stereochemistry also plays a role assigning faces to trigonal molecules such as ketones. A nucleophile in a nucleophilic addition can approach the carbonyl group from two opposite sides or faces. When an achiral nucleophile attacks acetone, both faces are identical and there is only one reaction product. When the nucleophile attacks butanone, the faces are not identical (enantiotopic) and a racemic product results.
The carbonate ion is the simplest oxocarbon anion. It consists of one carbon atom surrounded by three oxygen atoms, in a trigonal planar arrangement, with D3h molecular symmetry. It has a molecular mass of 60.01 g/mol and carries a total formal charge of −2. It is the conjugate base of the hydrogen carbonate (bicarbonate) ion, , which is the conjugate base of , carbonic acid.
This information is what provides motivation for the Pecoraro group. The initial studies have focused on understanding the binding of these heavy metals to peptides. Arsenic (As), mercury (Hg), and cadmium (Cd) all were used in systems with various peptides. Arsenic was found to bind to peptides via primarily a trigonal-pyramidal or tetrahedral shape in a manner that is both kinetically and thermodynamically favorable.
In all cases the binding site is generally conserved. Bound to the copper center are four ligands: the imidazole groups of two histidine residues (His37 and His87), the thiolate of Cys84 and the thioether of Met92. The geometry of the copper binding site is described as a ‘distorted trigonal pyramidal’. The Cu-S (cys) contact is much shorter (207 picometers) than Cu-S (met) (282 pm) bond.
Allendeite is trigonal, with a calculated density of 4.84 g/cm3. The new mineral was found along with hexamolybdenum. These minerals, are believed to demonstrate conditions during the early stages of the Solar System, as is the case with many CV3 carbonaceous chondrites such as the Allende meteorite. It is named after the Allende meteorite that fell in 1969 near Pueblito de Allende, Chihuahua, Mexico.
The mechanism for pistol ribozyme was deduced through the identification of the products of the self-cleaving reaction. Through mass spectrometry, it was found that the products contain 5'-hydroxyl and 2',3'-cyclic phosphate functional groups. Reaction mechanism was concluded to involve 2'-OH nucleophilic attack by G53 on the phosphate bond connecting G53-U54. The process involves a trigonal bipyramidal penta-coordinated phosphorus center.
The structures for the phosphorus chlorides are invariably consistent with VSEPR theory. The structure of PCl5 depends on its environment. Gaseous and molten PCl5 is a neutral molecule with trigonal bipyramidal geometry and (D3h) symmetry. The hypervalent nature of this species (as well as of , see below) can be explained with the inclusion of non-bonding molecular orbitals (molecular orbital theory) or resonance (valence bond theory).
In the solid phase SeO3 consists of cyclic tetramers, with an 8 membered (Se−O)4 ring. Selenium atoms are 4-coordinate, bond lengths being Se−O bridging are 175 pm and 181 pm, non- bridging 156 and 154 pm. SeO3 in the gas phase consists of tetramers and monomeric SeO3 which is trigonal planar with an Se−O bond length of 168.78 pm.
John A. Hutch: Anatomy and physiology of the bladder, trigone, and urethra. Appleton-Century-Crofts, 1972 page 4 Kalischer coined the term musculus sphincter urogenitalis for the skeletal urethral sphincter and introduced the concept of the trigonal sphincter (the extension of the deep trigone). His work is cited even today in medical publications. Between 1900 and 1905, he published series of works on the neuroanatomy of birds.
In this material, the boron centers are trigonal planar with an extra double bond for each boron, forming sheets akin to the carbon in graphite. However, unlike hexagonal boron nitride, which lacks electrons in the plane of the covalent atoms, the delocalized electrons in magnesium diboride allow it to conduct electricity similar to isoelectronic graphite. In 2001, this material was found to be a high-temperature superconductor.
Gagarinite-(Ce) previously zajacite-(Ce) is a rare radioactive fluoride mineral with formula Na(REExCa1−x)(REEyCa1−y)F6. REE refers to rare-earth elements, mostly those belonging to the lanthanide series. It crystallizes in the trigonal rhombohedral system and has a white vitreous appearance with a conchoidal fracture. It has a Mohs hardness of 3.5 and a specific gravity of 4.44 to 4.55.
Thaumatococcus daniellii is a rhizomatous, perennial herb, up to 3-3.5 m high. The ovate-elliptic leaves (up to 60 cm long and 40 cm wide) arise singly from each node of the rhizome. Inflorescences are single or simply branched spikes' and emerge from the lowest node. The fruit is fleshy, trigonal in shape and matures to a dark red/brown colour when fully ripe.
Lithium niobate is a colorless solid, and it is insoluble in water. It has a trigonal crystal system, which lacks inversion symmetry and displays ferroelectricity, the Pockels effect, the piezoelectric effect, photoelasticity and nonlinear optical polarizability. Lithium niobate has negative uniaxial birefringence which depends slightly on the stoichiometry of the crystal and on temperature. It is transparent for wavelengths between 350 and 5200 nanometers.
Gordaite is a sulfate mineral composed primarily of hydrous zinc sodium sulfate chloride hydroxide with formula: NaZn4(SO4)(OH)6Cl·6H2O. It was named for the discovery location in the Sierra Gorda district of Chile. Gordaite forms as tabular trigonal crystals. Gordaite first appeared after a research dive in September 1984 from the Juan de Fuca Ridge of the northeastern side of the Pacific Ocean.
Quintinite is a carbonate mineral with the chemical formula Mg4Al2(OH)12CO3⋅3H2O. The mineral was named after Quinitin Wight of Ottawa, Ontario, Canada (b. 1935), who was a significant contributor to mineral studies at Mont Saint-Hilaire. Quintinite is found as 2H and 3T, or 2-hexagonal and 3-trigonal, polytypes, which were originally approved as separate species, but have not been considered species since 1998.
Monohydrocalcite is a mineral that is a hydrous form of calcium carbonate, CaCO3·H2O. It was formerly also known by the name hydrocalcite, which is now discredited by the IMA. It is a trigonal mineral which is white when pure. Monohydrocalcite is not a common rock-forming mineral, but is frequently associated with other calcium and magnesium carbonate minerals, such as calcite, aragonite, lansfordite, and nesquehonite.
Metacinnabar is the cubic form of mercury sulfide (HgS). It is the low temperature form and trimorphous with cinnabar (trigonal structure) and the high temperature hypercinnabar (hexagonal structure). It occurs with cinnabar in mercury deposits and is associated with native mercury, wurtzite, stibnite, marcasite, realgar, calcite, barite, chalcedony and hydrocarbons. It was first described in 1870 for an occurrence in the Redington mine, Knoxville, Napa County, California.
Unlike related phases such as Pseudomalachite, the copper atoms are all five- fold coordinated by oxygen. There are three unique copper sites that are all quite distorted from ideal symmetry. Two are in approximate tetragonal pyramids and the third is essentially a trigonal bipyramidal coordination. Edge sharing polyhedra lead to copper-copper dimer formation, and the overall structure is a three-dimensional network of copper-oxygen polyhedra.
In a few cases, tren serves as a tridentate ligand with one of the primary amine groups non- coordinated. Tren is a common impurity in the more common triethylenetetramine ("trien"). As a trifunctional amine, tren forms a triisocyanate when derivatized with COCl2. Structures of trigonal bipyramidal and octahedral complexes of the formulae M(tren)X (left, C3v symmetry) and M(tren)X2 (right, Cs symmetry).
The structure of the lead end-member senaite of the crichtonite group was determined in 1976 by Grey & Lloyd. The structure of the other members of the crichtonite group is similar and corresponds to the formula AM21O38. The crystals of cleusonite consist of multiple rhombohedra and hexagonal prisms that are twinned. The crystal system is a trigonal - rhombohedral class 3 and has space group of R.
I.R spectroscopic studies indicate that monomeric GaH3 has a trigonal planar structure. Theoretical Ga-H bond lengths have been calculated as being in the range 155.7 pm to 158.7 pm. Monomeric GaH3 dimerises in the vapor phase to form Ga2H6, digallane(6) and the enthalpy change associated with the gas phase dissociation reaction Ga2H6 → 2GaH3 has been experimentally estimated as 59 ± 16 kJ mol−1.
Ammonium fluorosilicate has three major polymorphs: α-(NH4)2[SiF6] form is cubic (space group Fm _3_ m, No. 225) and corresponds to the mineral cryptohalite. The β form is trigonal (scalenohedral) and occurs in nature as mineral bararite. A third (γ) form was discovered in 2001 and identified with the hexagonal 6mm symmetry. In all three configurations, the [SiF6]2− octahedra are arranged in layers.
Although bararite was claimed to be metastable at room temperature, it does not appear one polymorph has ever turned into another. Still, bararite is fragile enough that grinding it for spectroscopy will produce a little cryptohalite.Oxton, I. A., Knop, O., and Falk, M. (1975) "Infrared Spectra of the Ammonium Ion in Crystals". II. The Ammonium Ion in Trigonal Environments, with a Consideration of Hydrogen Bonding.
Among the most studied classes of organoboron compounds have the formula BRnH3−n. As discussed above, these compounds are used as catalysts, reagents, and synthetic intermediates. The trialkyl and triaryl derivatives feature trigonal planar boron center that is typically only weakly Lewis acidic. Except for a few very bulky derivatives, the hydrides (BRnH3−n for n = 1 or 2) exist as dimers, reminiscent of the structure of diborane itself.
Molecules contain an inversion center when a point exists through which all atoms can reflect while retaining symmetry. In crystallography, the presence of inversion centers distinguishes between centrosymmetric and noncentrosymmetric compounds. Crystal structures are composed of various polyhedra, categorized by their coordination number and bond angles. For example, four-coordinate polyhedra are classified as tetrahedra, while five-coordinate environments can be square pyramidal or trigonal bipyramidal depending on the bonding angles.
Bailar twist mechanism The Bailar twist is a mechanism proposed for the racemization of octahedral complexes containing three bidentate chelate rings. Such complexes typically adopt an octahedral molecular geometry, in which case they possess helical chirality."Bailar Twist" in Encyclopedia of Inorganic Chemistry, John Wiley & Sons, 2006. One pathway by which these compounds can racemize is via the formation of a trigonal prismatic intermediate with D3h point group symmetry.
Segnitite belongs to the trigonal crystal system, which is also a subcategory of the hexagonal crystal system. Segnitite occurs most commonly as rhombohedral crystals that can grow to around 5mm in height and as pseudo-octahedral crystals that typically measure about 1mm across. The habit of these segnitite clusters is often found to be hemispherical in shape. Rhombohedron {112} and Pinacoid {001} are the two most common forms of segnitite.
Antarcticite is an uncommon calcium chloride hexahydrate mineral with formula: CaCl2·6H2O. It forms colorless acicular trigonal crystals. It is hygroscopic and has a low specific gravity of 1.715. As its name implies, it was first described in 1965 for an occurrence in Antarctica where it occurs as crystalline precipitate from a highly saline brine in Don Juan Pond, in the west end of Wright Valley, Victoria Land.
Nitrogen pentafluoride is a theoretical compound of nitrogen and fluorine that is hypothesized to exist based on the existence of the pentafluorides of the atoms below nitrogen in the periodic table, such as phosphorus pentafluoride. Theoretical models of the nitrogen pentafluoride (NF5) molecule are either a trigonal bipyramidal covalently bound molecule with symmetry group D3h, or NFF−, which would be an ionic solid. Also, a related compound NHF− is known.
It has a trigonal (or triangular), ovary, which is 0.8–1 cm long. It has a 1–2 cm long style, which has linear crests and wavy (crenate) edges. The style arm guides bumblebees to the lower section of the sepal, to reach the nectar. After the iris has flowered, between late June to late July, it produces a roundly triangular, or ovoid, seed capsule, which are covered by the spathes.
It is a light-driven proton pump. Trigonal and hexagonal crystals revealed that trimers are arranged on a honeycomb lattice. In these crystals, bacterioruberin binds to crevices between the subunits of the trimer. The polyene chain of the second chromophore is inclined from the membrane normal by an angle of about 20 degrees and, on the cytoplasmic side, it is surrounded by helices AB and DE of neighboring subunits.
Tungsten diselenide is an inorganic compound with the formula WSe2. The compound adopts a hexagonal crystalline structure similar to molybdenum disulfide. Every tungsten atom is covalently bonded to six selenium ligands in a trigonal prismatic coordination sphere while each selenium is bonded to three tungsten atoms in a pyramidal geometry. The tungsten–selenium bond has a length of 0.2526 nm, and the distance between selenium atoms is 0.334 nm.
They mine the leaves of their host plant. The mine starts as upper epidermal and tortuous-linear, and later becomes a blister-like blotch. The leaf roll made by the larva of the late instars is conical or trigonal, always rolled up from the tip of the leaf or leaflet on the lower side. The cocoon is situated on the edge of a living leaf around the leaf roll.
The crystal structure is similar to that of ilmenite (FeTiO3) with Si and Mg in regular octahedral coordination with oxygen. The Si and Mg octahedra align in discrete layers alternating up the c-axis. The space group is R (trigonal) with a = 4.7284 Å; c = 13.5591 Å; V = 262.94 Å3; Z = 6.Horiuchi, H., Hirano, M., Ito, E., and Matsui, Y. (1982) MgSiO3 (ilmenite-type): single crystal X-ray diffraction study.
Many ylides may be depicted by a multiple bond form in a resonance structure, known as the ylene form, however this is incorrect: :Wittig reagent resonance structures The actual bonding picture of these types of ylides is strictly zwitterionic (the structure on the right) with the strong Coulombic attraction between the "onium" atom and the adjacent carbon accounting for the reduced bond length. Consequently, the carbon anion is trigonal pyramidal.
Fluor-uvite is a tourmaline mineral with the chemical formula CaMg3(Al5Mg)(Si6O18)(BO3)3(OH)3F. It is a rare mineral that is found in calcium rich contact metamorphic rocks with increased amounts of boron. Uvite is trigonal hexagonal, which means that it has three equal length axes at 120 degrees, all perpendicular to its fourth axis which has a different length. Uvite is part of the space group 3m.
The derivative pentaphenylphosphorane (Ph5P) is stable. A Guide to Organophosphorus Chemistry Louis D. Quin 2000 John Wiley & Sons Phosphoranes adopt a trigonal bipyramidal molecular geometry with the two apical bonds longer than the three equatorial bonds. Hypervalent bonding is described by inclusion of non-bonding MOs, as also invoked for the closely related molecule phosphorus pentafluoride.G. L. Miessler and D. A. Tarr “Inorganic Chemistry” 3rd Ed, Pearson/Prentice Hall publisher, .
Scandium has a coordination number of 6, while iodine has a coordination number of 3 and is trigonal pyramidal.Men'kov, A. A., Komissarova, L. N., 1964, X-ray study of scandium iodide, Zhurnal Neorganicheskoi Khimii, v. 9, p. 766 The purest scandium triiodide is obtained through direct reaction of the elements: : 2 Sc + 3 I2 → 2 ScI3 Alternatively, but less effectively, one can produce anhydrous scandium triiodide by dehydrating ScI3(H2O)6.
The bond geometry change for a planar BF3 molecule when bound to a metal. Many of the simplest Z-ligands are simple Lewis acids with electron-deficient center atoms such as BX3, BH3, BR3, AlX3, etc. While these molecules typically have trigonal planar geometry, when bonded to a metal center, they become tetrahedral. This geometry change can be stabilized by the addition of an L-ligand on the metal center.
Mixed monosulfide and disulfide compounds of copper contain both monosulfide (S2−) as well as disulfide (S2)n− anions. Their crystal structures usually consist of alternating hexagonal layers of monosulfide and disulfide anions with Cu cations in trigonal and tetrahedral interstices. CuS, for example, can be written as Cu3(S2)S. Several nonstoichiometric compounds with Cu:S ratios between 1.0 and 1.4 also contain both monosulfide as well as disulfide ions.
Phosphorus trichloride is a chemical compound of phosphorus and chlorine, having the chemical formula PCl3. It is a toxic and volatile liquid which reacts violently with water to release HCl gas. It has a trigonal pyramidal shape, owing to the lone pairs on the phosphorus. It is an important industrial chemical, being used for the manufacture of phosphites and other organophosphorus compounds for a wide variety of applications.
SnBr2 is soluble in donor solvents such as acetone, pyridine and dimethylsulfoxide to give pyramidal adducts. A number of hydrates are known, 2SnBr2·H2O, 3SnBr2·H2O & 6SnBr2·5H2O which in the solid phase have tin coordinated by a distorted trigonal prism of 6 bromine atoms with Br or H2O capping 1 or 2 faces. When dissolved in HBr the pyramidal SnBr3− ion is formed. Like SnCl2 it is a reducing agent.
Isostructural with , consists of a trigonal prism with Re atom in the center and six hydrogen atoms at the corners. Three more hydrogen ligands define a triangle lying parallel to the base and crossing the prism in its center (see figure). Although those hydride ligands are not equivalent, their electronic structure is almost the same. The coordination number of 9 in this complex is the highest known for any rhenium complex.
Wheat is used for making flatbreads called chapati, trigonal ghadichi poli , the deep-fried version called puri or the thick paratha. Wheat is also used in many stuffed flatbreads such as the Puran poli, Gul poli (with sesame and Jaggery stuffing), and Satorya (with sugar and khoya (dried milk)). Wheat Dough in Maharashtrian house Wheat flatbreads are also made with vegetable stuffings such as peas, potatoes and Gram dal.Umrani, Shantabai (1984).
Martin's sulfurane is the organosulfur compound with the formula Ph2S[OC(CF3)2Ph]2 (Ph = C6H5). It is a white solid that easily undergoes sublimation. The compound is an example of a hypervalent sulfur compound called a sulfurane. As such, the sulfur adopts a see-saw structure, with a lone pair of electrons as the equatorial fifth coordinate of a trigonal bipyramid, like that of sulfur tetrafluoride (SF4).
Extended crystal structure of GaBr3 The GaBr3 monomer has trigonal planar geometry, but when it forms the dimer Ga2Br6 the geometry around the Gallium center distorts to become roughly tetrahedral. As a solid, GaBr3 forms a monoclinic crystalline structure with a unit cell volume of 524.16 Å3. Additional specifications for this unit cell are as follows: a = 8.87 Å, b = 5.64 Å, c =11.01 Å, α = 90˚, β = 107.81˚, γ = 90˚.
Pleochroism is the phenomenon of crystals appearing to change color as they are rotated in plane polarized light.Klein and Hurlbut (1993) Manual of Mineralogy, 21st edition, Wiley This is due to differential absorption of light vibrating in different directions. Isometric crystals cannot be pleochroic. Uniaxial crystals (trigonal, tetragonal or hexagonal) may show two, but not three, different colors as they are rotated, then they are said to be dichroic (two colors).
Loveringite is trigonal (crystal system), rhombohedral (crystal class), meaning it contains three equal axes each related by 120° and one axis perpendicular to these. It has a three-fold rotation axis as well as a center of symmetry and belongs to the space group R3.Gatehouse, B. M., I. E. Grey, I. H. Campbell and P. Kelly (1978). The crystal structure of loveringite-a new member of the crichtonite group.
Sarah Chang (Chinese: 張學仁) is an American actress, producer, stunt coordinator and martial artist. Chang is best known for her work in the titular role in the DJI/Wanda film, The Teacher (2018), Blood Hunters: Rise of the Hybrids (2018), Karen Wu in Circle of Bones (2019), Mei in The Trigonal: Fight for Justice (2018), and for her stunt coordination work in Gandarrapido: The Revengers Squad (2017).
In RuGa2 the ruthenium atoms in the chimney are separated by 329 pm. The gallium atoms spiral around the Ru chimney with a Ga–Ga intrahelix distance of 257 pm. The view perpendicular to the chimney axis is that of a hexagonal lattice with gallium atoms occupying the vertices and ruthenium atoms occupying the center. Each gallium atom bonds to 5 other gallium atoms forming a distorted trigonal bipyramid.
In solid uranium(III) chloride each uranium atom has nine chlorine atoms as near neighbours, at approximately the same distance, in a tricapped trigonal prismatic configuration.Wells A.F. (1984) Structural Inorganic Chemistry 5th edition Oxford Science Publications Uranium(III) chloride is a green crystalline solid at room temperature. UCl3 melts at 837 °C and boils at 1657 °C. Uranium(III) chloride has a density of 5500 kg/m3 or 5.500 g/cm3.
Iron-pentacarbonyl-Berry-mechanism Pentacoordinate molecules of trigonal pyramidal geometry typically exhibit a particular kind of low energy fluxional behavior called Berry pseudorotation. Famous examples of such molecules are iron pentacarbonyl (Fe(CO)5) and phosphorus pentafluoride (PF5). At higher temperatures, only one signal is observed for the ligands (e.g., by 13C or 19F NMR) whereas at low temperatures, two signals in a 2:3 ratio can be resolved.
If the feet differ then there are more isomers. When two feet are the same, and one is different there are three arrangements, two of which are enantiomers of each other. When there are three different legs, there are six possible isomers, but two are enantiomers of another pair, and two are symmetric. open access Atoms with five coordinate positions are usually trigonal bipyramidal or square pyramid in shape.
Since both promoter regions overlap when apoMerR is bound to MerO, the change in DNA conformation causes neither the structural genes nor the regulatory genes to be read. This makes MerR a negative autoregulator. MerR forms a stable trigonal planar complex with Hg2+, which causes it to be released much later than when mercury(II) reductase has reduced all free Hg2+ in the cytoplasm. Thus, it causes an excess in production of mercuric(II) reductase.
The symmetry of defects in crystals is described by the point groups. They differ from the space groups describing the symmetry of crystals by absence of translations, and thus are much fewer in number. In diamond, only defects of the following symmetries have been observed thus far: tetrahedral (Td), tetragonal (D2d), trigonal (D3d, C3v), rhombic (C2v), monoclinic (C2h, C1h, C2) and triclinic (C1 or CS). The defect symmetry allows predicting many optical properties.
Like many TMDCs, is a layered material with strong in-plane bonding and weak out-of-plane interactions. These interactions lead to exfoliation into two-dimensional layers of single unit cell thickness. The most common form of these TMDCs have trilayers of molybdenum sandwiched between selenium ions causing a trigonal prismatic metal bonding coordination, but it is octahedral when the compound is exfoliated. The metal ion in these compounds is surrounded by six ions.
Corundum from Brazil, size about 2×3 cm. The most common form of crystalline aluminium oxide is known as corundum, which is the thermodynamically stable form. The oxygen ions form a nearly hexagonal close- packed structure with the aluminium ions filling two-thirds of the octahedral interstices. Each Al3+ center is octahedral. In terms of its crystallography, corundum adopts a trigonal Bravais lattice with a space group of Rc (number 167 in the International Tables).
The all-organic penta- and hexaorganostannates have even been characterized, while in the subsequent year a six-coordinated tetraorganotin compound was reported. A crystal structure of room-temperature stable (in argon) all-carbon pentaorganostannane was reported as the lithium salt with this structure: :Pentaorganostannane In this distorted trigonal bipyramidal structure the carbon to tin bond lengths (2.26 Å apical, 2.17 Å equatorial) are larger than regular C-Sn bonds (2.14 Å) reflecting its hypervalent nature.
Besides tetrahedral, trigonal and octahedral holes, there were all-purpose balls with 24 holes. These models allowed rotation about the single rod bonds, which could be both an advantage (showing molecular flexibility) and a disadvantage (models are floppy). The approximate scale was 5 cm per ångström (0.5 m/nm or 500,000,000:1), but was not consistent over all elements. Arnold Beevers in Edinburgh created small models using PMMA balls and stainless steel rods.
If there are 3 electron pairs surrounding the central atom, their repulsion is minimized by placing them at the vertices of an equilateral triangle centered on the atom. Therefore, the predicted geometry is trigonal. Likewise, for 4 electron pairs, the optimal arrangement is tetrahedral. As a tool in predicting the geometry adopted with a given number of electron pairs, an often used physical demonstration of the principle of minimal electron pair repulsion utilizes inflated balloons.
Therefore, the overall orientation of the regions of electron density is tetrahedral. On the other hand, there are only three outer atoms. This is referred to as an AX3E type molecule because the lone pair is represented by an E. By definition, the molecular shape or geometry describes the geometric arrangement of the atomic nuclei only, which is trigonal-pyramidal for NH3. Steric numbers of 7 or greater are possible, but are less common.
The steric number of 7 occurs in iodine heptafluoride (IF7); the base geometry for a steric number of 7 is pentagonal bipyramidal. The most common geometry for a steric number of 8 is a square antiprismatic geometry. Examples of this include the octacyanomolybdate () and octafluorozirconate () anions. The nonahydridorhenate ion () in potassium nonahydridorhenate is a rare example of a compound with a steric number of 9, which has a tricapped trigonal prismatic geometry.
In another configuration, known as trigonal configuration, one of the p-orbitals (say pz) remains unchanged and three hybrid orbitals are produced by mixing the s, px and py orbitals. The orbitals that are symmetrical about the bonding axes and plane of the molecule (sp2) are known as σ-electrons and the bonds are called σ-bonds. The pz orbital is called a π-orbital. A π-bond occurs when two π-orbitals interact.
A right triangular prism is semiregular or, more generally, a uniform polyhedron if the base faces are equilateral triangles, and the other three faces are squares. It can be seen as a truncated trigonal hosohedron, represented by Schläfli symbol t{2,3}. Alternately it can be seen as the Cartesian product of a triangle and a line segment, and represented by the product {3}x{}. The dual of a triangular prism is a triangular bipyramid.
Enantiomers of methyl phenyl sulfoxide. A lone pair of electrons resides on the sulfur atom, giving it tetrahedral electron-pair geometry and trigonal pyramidal shape (steric number 4 with one lone pair; see VSEPR theory). When the two organic residues are dissimilar, the sulfur is a chiral center, for example, in methyl phenyl sulfoxide. The energy barrier required to invert this stereocenter is sufficiently high that sulfoxides are optically stable near room temperature.
Structure of iodine heptafluoride, an example of a molecule with the pentagonal-bipyramidal coordination geometry. In chemistry, a pentagonal bipyramid is a molecular geometry with one atom at the centre with seven ligands at the corners of a pentagonal bipyramid. A perfect pentagonal bipyramid belongs to the molecular point group D5h. The pentagonal bipyramid is a case where bond angles surrounding an atom are not identical (see also trigonal bipyramidal molecular geometry).
Bernal writes that the snub disphenoid is "a very common coordination for the calcium ion in crystallography".. In coordination geometry, it is usually known as the trigonal dodecahedron or simply as the dodecahedron. The snub disphenoid name comes from Norman Johnson's 1966 classification of the Johnson solids, convex polyhedra all of whose faces are regular.. It exists first in a series of polyhedra with axial symmetry, so also can be given the name digonal gyrobianticupola.
Grains of Jwari(Sorghum bicolor) Grains of bajri(pearl millet) Staple dishes in the cuisine are based on a variety of flatbreads and rice. Flatbreads can be wheat-based, such as the traditional trigonal ghadichi poli or the round chapati that is more common in urban areas. Bhakri is an unleavened bread made using grains such as ragi or millet, bajra or bajri or jwari – and Bhakri forms part of daily meals in rural areas.
Solid phosphorus pentachloride is an ionic compound, formulated , that is, a salt containing the tetrachlorophosphonium cation. Dilute solutions dissociate according to the following equilibrium: :PCl5 \+ Cl− Triphenylphosphine dichloride (Ph3PCl2) exists both as the pentacoordinate phosphorane and as the chlorotriphenylphosphonium chloride, depending on the medium. The situation is similar to that of PCl5. It is an ionic compound (PPh3Cl)+Cl− in polar solutions and a molecular species with trigonal bipyramidal molecular geometry in apolar solution.
6554-6558 In the field of physical chemistry his work was directed on electron spin resonance measurements of phosphoranyl radicals with phosphorus in different geometries as the tetrahedral and the trigonal bipyramidal configuration with the unpaired electron in an equatorial or axial orientation.Aagaard, O.M. et al. (1990) "Intermolecular effects on the radiogenic formation of electron- capture phosphorus-centered Journalradicals A single-crystal ESR study of diastereoisomeric precursors", Journal of the American Chemical Society, Vol.
Gordaite belongs to the point group P. This indicates that the mineral has a primitive lattice and belongs to the hexagonal/trigonal point group. Gordaite crystals are typically white or opaque and can sometimes exhibit a greenish color if trace copper is present. The crystals are broad and flat and have a vitreous luster. The mineral shows a cleavage plain parallel to {0001}, is flexible and has a Mohs hardness of about 2.5.
A potential repeat unit of graphene is a sp2-hybridized carbon atom. Individual sheets can in principle be obtained by exfoliation procedures, though in reality this is a non-trivial enterprise. Molybdenumdisulfide can exist in two-dimensional, single or layered polymers where each Mo(IV) center occupies a trigonal prismatic coordination sphere. Boron nitride polymers are stable in its crystalline hexagonal form where it has a two-dimensional layered structure similar to graphene.
The coordination and organometallic chemistry of terbium is similar to other lanthanides. In aqueous conditions, terbium can be coordinated by nine water molecules, which are arranged in a tricapped trigonal prismatic molecular geometry. Complexes of terbium with lower coordination number are also known, typically with bulky ligands like bis(trimethyl-silylamide), which forms the three-coordinate Tb[N(SiMe3)2]3 complex. Most coordination and organometallic complexes contain terbium in the trivalent oxidation state.
Nuclei with a spin quantum number >1/2 have a non-spherical charge distribution. This is known as a quadrupolar nucleus. A non spherical charge distribution can interact with an electric field gradient caused by some form of non-symmetry (e.g. in a trigonal bonding atom there are electrons around it in a plane, but not above or below it) to produce a change in the energy level in addition to the Zeeman effect.
Yao et al. also reported the reactivity of the silylone with two equivalents of ZnCl2 in THF to form colorless crystals of (bis- NHC)Si(ZnCl2)2. The coordination environment of this complex was observed to be tetrahedral around the silicon by XRD. However, the ZnCl2 was shown to be asymmetrically coordinated, where one is trigonal planar and the other tetrahedral as a result of additional coordination with a molecule of THF.
Fe(CO)5 adopts a trigonal bipyramidal structure with the Fe atom surrounded by five CO ligands: three in equatorial positions and two axially bound. The Fe–C–O linkages are each linear. Fe(CO)5 exhibits a relatively low rate of interchange between the axial and equatorial CO groups via the Berry mechanism. It is characterized by two intense νCO bands in the IR spectrum at 2034 and 2014 cm−1 (gas phase).
In chemistry, a trigonal bipyramid formation is a molecular geometry with one atom at the center and 5 more atoms at the corners of a triangular bipyramid. This is one geometry for which the bond angles surrounding the central atom are not identical (see also pentagonal bipyramid), because there is no geometrical arrangement with five terminal atoms in equivalent positions. Examples of this molecular geometry are phosphorus pentafluoride (PF5), and phosphorus pentachloride (PCl5) in the gas phase.
Americium(III) chloride or americium trichloride is the chemical compound composed of americium and chlorine with the formula AmCl3. It forms pink hexagonal crystals. In the solid state each americium atom has nine chlorine atoms as near neighbours, at approximately the same distance, in a tricapped trigonal prismatic configuration.L. B. Asprey, T. K. Keenan, F. H. Kruse: "Crystal Structures of the Trifluorides, Trichlorides, Tribromides, and Triiodides of Americium and Curium", Inorg. Chem. 1965, 4 (7), 985–986; .
It is a semiconductor with a band gap of 0.32 to 0.38 eV. Tellurium forms covalent bonds with most other elements, noting it has an extensive organometallic chemistry and that many tellurides can be regarded as metallic alloys. The common oxide of tellurium (TeO2) is amphoteric. Tellurium forms a series of anionic tellurites and tellurates such as Na2TeO3, Na6TeO6, and Rb6Te2O9 (the last containing tetrahedral and trigonal bipyramidal anions), as well as Zintl phases such as NaTe3.
The light passing through the mineral will therefore have different colors when it is viewed from different angles, making the stone seem to be of different colors. Tetragonal, trigonal, and hexagonal minerals can only show two colors and are called dichroic. Orthorhombic, monoclinic, and triclinic crystals can show three and are trichroic. For example, hypersthene, which has two optical axes, can have a red, yellow, or blue appearance when oriented in three different ways in three-dimensional space.
The stoichiometry of samples obtained through such techniques can vary greatly between experiments, so Raman spectroscopy is often used to determine relative purity. However, thin Bi2Te3 samples are resistant to Raman spectroscopy due to their low melting point and poor heat dispersion. The crystalline structure of Bi2Te3 allows for mechanical exfoliation of thin samples by cleaving along the trigonal axis. This process is significantly lower in yield than epitaxial growth, but produces samples without defects or impurities.
Crystal structure of zemannite. Zemannite crystallizes in the hexagonal crystal system, space group P63m with the lattice parameters a = 941 pm and c = 764 pm and two formula units per unit cell. The Te4+ bind with three oxygen atoms forming [TeO3]2− anions, where oxygens form trigonal pyramids around the tellurium ion. The Zn2+ and Fe3+ cations share the same cite with typical respective probabilities of 40% and 60%; those values can vary from crystal to crystal.
At ambient conditions calcium disilicide exists in two polymorphs, hR9 and hR18; in the hR18 structure the hR9 unit cell is stacked twice along the c axis. Upon heating to 1000 °C at a pressure of ca. 40 kBar, calcium disilicide converts to a (semi-stable) tetragonal phase. The tetragonal phase is a superconductor with a transition temperature of 1.37 K to 1.58 K. Although there is no observable superconducting transition temperature for the trigonal/rhombohedral (i.e.
Where the rate-determining step of a nucleophilic substitution reaction is unimolecular, it is known as an SN1 reaction. In this case, the slowest (thus rate-determining step) is the heterolysis of a carbon- halogen bond to give a carbocation and the halide anion. The nucleophile (electron donor) attacks the carbocation to give the product. SN1 reactions are associated with the racemization of the compound, as the trigonal planar carbocation may be attacked from either face.
Xenon hexafluoride, which has a distorted octahedral geometry. Some AX6E1 molecules, e.g. xenon hexafluoride (XeF6) and the Te(IV) and Bi(III) anions, , , , and , are octahedra, rather than pentagonal pyramids, and the lone pair does not affect the geometry to the degree predicted by VSEPR. Similarly, the octafluoroxenate ion () in nitrosonium octafluoroxenate(VI) is a square antiprism and not a bicapped trigonal prism (as predicted by VSEPR theory for an AX8E1 molecule), despite having a lone pair.
Since and N have the same number of electrons, is isoelectronic with ammonia. As shown in the images above, has a trigonal pyramidal molecular geometry with the oxygen atom at its apex. The bond angle is approximately 113°, and the center of mass is very close to the oxygen atom. Because the base of the pyramid is made up of three identical hydrogen atoms, the molecule's symmetric top configuration is such that it belongs to the point group.
Specialist companies manufacture kits and models to order. One of the earlier companies was Woosters at Bottisham, Cambridgeshire, UK. Besides tetrahedral, trigonal and octahedral holes, there were all-purpose balls with 24 holes. These models allowed rotation about the single rod bonds, which could be both an advantage (showing molecular flexibility) and a disadvantage (models are floppy). The approximate scale was 5 cm per ångström (0.5 m/nm or 500,000,000:1), but was not consistent over all elements.
RExB12C0.33Si3.0 (RE=Y and Gd–Lu) have a unique crystal structure with two units – a cluster of B12 icosahedra and a Si8 ethane-like complex – and one bonding configuration (B12)3≡Si-C≡(B12)3. A representative compound of this group is YxB12C0.33Si3.0 (x=0.68). It has a trigonal crystal structure with space group Rm (No. 166) and lattice constants a = b = 1.00841(4) nm, c = 1.64714(5) nm, α = β = 90° and γ = 120°. Fig. 15.
Aluminum carbide has an unusual crystal structure that consists of alternating layers of Al2C and Al2C2. Each aluminum atom is coordinated to 4 carbon atoms to give a tetrahedral arrangement. Carbon atoms exist in 2 different binding environments; one is a deformed octahedron of 6 Al atoms at a distance of 217 pm. The other is a distorted trigonal bipyramidal structure of 4 Al atoms at 190–194 pm and a fifth Al atom at 221 pm.
The trichloride is prepared by dissolving in hydrochloric acid: : + 6 HCl → 2 + 3 Structure of gaseous SbF5 The pentahalides and have trigonal bipyramidal molecular geometry in the gas phase, but in the liquid phase, is polymeric, whereas is monomeric. is a powerful Lewis acid used to make the superacid fluoroantimonic acid ("H2SbF7"). Oxyhalides are more common for antimony than for arsenic and phosphorus. Antimony trioxide dissolves in concentrated acid to form oxoantimonyl compounds such as SbOCl and .
The ammonia molecule has a trigonal pyramidal shape as predicted by the valence shell electron pair repulsion theory (VSEPR theory) with an experimentally determined bond angle of 106.7°. The central nitrogen atom has five outer electrons with an additional electron from each hydrogen atom. This gives a total of eight electrons, or four electron pairs that are arranged tetrahedrally. Three of these electron pairs are used as bond pairs, which leaves one lone pair of electrons.
Boron (III) trifluoride structure, showing "empty" boron p orbital in pi-type coordinate covalent bonds In the most familiar compounds, boron has the formal oxidation state III. These include oxides, sulfides, nitrides, and halides. The trihalides adopt a planar trigonal structure. These compounds are Lewis acids in that they readily form adducts with electron-pair donors, which are called Lewis bases. For example, fluoride (F−) and boron trifluoride (BF3) combined to give the tetrafluoroborate anion, BF4−.
Zinc, magnesium and manganese commonly substitute for the iron resulting in the siderite-smithsonite, siderite- magnesite and siderite-rhodochrosite solid solution series. Siderite has Mohs hardness of 3.75-4.25, a specific gravity of 3.96, a white streak and a vitreous lustre or pearly luster. Siderite is antiferromagnetic below its Néel temperature of 37 K which can assist in its identification. It crystallizes in the trigonal crystal system, and are rhombohedral in shape, typically with curved and striated faces.
Berkelium forms a trigonal (η5–C5H5)3Bk metallocene complex with three cyclopentadienyl rings, which can be synthesized by reacting chloride with the molten beryllocene (Be(C5H5)2) at about 70 °C. It has an amber color and a density of 2.47 g/cm3. The complex is stable to heating to at least 250 °C, and sublimates without melting at about 350 °C. The high radioactivity of berkelium gradually destroys the compound (within a period of weeks).
The second factor has to do with the particular form in which calcite crystallizes. Calcite is a mineral that crystallizes in the trigonal system and has perfect rhombohedral cleavage. The cannula of a stalactite is formed by a series of very small rhombohedra which interpenetrate each other. If, as consequence of several causes, the cannula is perforated on the side, water will come out through that opening and will create an aggregate of other rhombohedra on the side.
Cesanite's crystal structure is made up of tetrahedra of sulfide cations surrounded by oxygen anions distributed along with hydroxide ions around the Ca and Na ions occupying the M1 through four sites. The M1 and M2 cites create distorted pentagonal bipyramids while the M3 and M4 create tricapped trigonal prisms. The M3 and M4 polyhedra share faces when they are next to each other and form columns parallel to [001] while isolated sulfate tetrahedra alternate along the c axis.
Space-filling model of the carbonate ion The carbonate ion has a trigonal planar structure, point group D3h. The three C-O bonds have the same length of 136 pm and the 3 O-C-O angles are 120°. The carbon atom has 4 pairs of valence electrons, which shows that the molecule obeys the octet rule. This is one factor that contributes to the high stability of the ion, which occurs in rocks such as limestone.
He was awarded the Wolf Prize in Chemistry in 2004 for his pioneering work in bioinorganic chemistry, unraveling novel principles of structure and long- range electron transfer in proteins. Gray has made generative contributions to the understanding of chemical bonding of metal complexes, mechanisms of inorganic reactions, spectroscopy and magneto-chemistry of inorganic compounds. His study of the first trigonal prismatic complexes is one such example. Harry Gray's most significant work lies at the interface between chemistry and biology.
The hydrolysis of ADPR is catalyzed by E162, which improves the nucleophilicity of the water molecule in the active site by deprotonating it. This water is held perfectly in line with the scissile bond by the first and second magnesium ions. The hydroxide ion then attacks the phosphorus atom on the adenosyl phosphate, creating a trigonal bypyramidal intermediate with a negatively charged oxygen attached to the adenosyl phosphate. The double bond is then reformed, effectively discharging ribose 5-phosphate as a leaving group.
Absent π delocalization, the negative charge of a carbanion is localized in an spx hybridized orbital on carbon as a lone pair. As a consequence, localized alkyl, alkenyl/aryl, and alkynyl carbanions assume trigonal pyramidal, bent, and linear geometries, respectively. By Bent's rule, placement of the carbanionic lone pair electrons in an orbital with significant s character is favorable, accounting for the pyramidalized and bent geometry of alkyl and vinyl carbanions, respectively. Valence shell electron pair repulsion (VSEPR) theory makes similar predictions.
The aperture is oblong-oval, narrower behind, widely open in front, with a shallow notch. The outer lip is simple, sharp, thickened by a marked varix outside, which ascends roundly at the suture and bounds a shallow, wide posterior sinus. The profile is convex, barely sinused anteriorly. The axial ribs are roundly trigonal, sinuous, undulating the upper suture, most valid at the swelling of the whorl, half as wide as the interspaces, vanishing towards the base, and becoming obsolete towards the aperture.
BH3 is trigonal planar molecule with D3h symmetry The experimentally determined B–H bond length is 119 pm. In the absence of other chemical species, it reacts with itself to form diborane. Thus, it is an intermediate in the preparation of diborane according to the reaction: :BX3 +BH4− → HBX3− \+ (BH3) (X=F, Cl, Br, I) :2 BH3 → B2H6 The standard enthalpy of dimerization of BH3 is estimated to be −170 kJ mol−1. The boron atom in BH3 has 6 valence electrons.
Dimethyl sulfite the simplest sulfite ester A sulfite ester is a functional group with the structure (RO)(R'O)SO. They adopt a trigonal pyramidal molecular geometry due to the presence of lone pairs on the sulphur atom. When substituents R and R' differ, the compound is chiral owing to the stereogenic sulphur centre; when the R groups are the same the compound will have idealised Cs molecular symmetry. They are commonly prepared by the reaction of thionyl chloride with alcohols.
Each catalytic domain is composed of two stacked, mixed topology β sheets and several random coils. These sheets and coils subsequently encompass the active site: a non-heme iron(III) complex. Without heme, iron must be ligated to four amino acid residues (Tyr200, His226, Tyr164, His224) to maintain is catalytically active conformation. With Tyr200 and His226 acting as the axial ligands and Tyr164, His224, and a solvent water molecule acting as equatorial ligands, the Fe3+ complex displays trigonal bipyramidal geometry.
The ideal angle between the axial ligands and the equatorial ligands is 90°; whereas the ideal angle between the two equatorial ligands themselves is 120°. Disphenoidal molecules, like trigonal bipyramidal ones, are subject to Berry pseudorotation. Thus, the 19F NMR spectrum of SF4 (like that of PF5) consists of single resonance near room temperature. The four atoms in motion act as a lever about the central atom; for example, the four fluorine atoms of sulfur tetrafluoride rotate around the sulfur atom.
In 1900, Kalischer published a monograph "Die Urogenitalmuskulatur des Dammes mit besonderer Berücksichtigung des Harnblasenverschlusses" ("The urogenital musculature of the perineum with special regards to the closure of the urinary bladder").Kalischer O. Die Urogenitalmuskulatur des Dammes mit besonderer Berücksichtigung des Harnblasenverschlusses. S. Karger, Berlin 1900 He undertook very careful anatomical investigation of urogenital muscles by means of continuous serial sections, and described these structures in great detail. He stated, that the internal sphincter consists of trigonal muscle and no detrusor urinae muscle.
It has been suggested that inhibition with these oxyanions happens because they form trigonal bipyramidal complexes within the active site of the enzyme which are similar to the transition state of the phytate's phosphate group during its hydrolysis. Orthophosphate which is released from phytic acid works as a competitive inhibitor of BPPs. Phytic acid analogue myo-inositol-hexasulphate (IHS) inhibits BPPs and this has been used as an aid in BPP structural studies due to its similarity with phytic acid (see 3AMR).
Copper cyanide is insoluble in water but rapidly dissolves in solutions containing CN− to form [Cu(CN)3]2− and [Cu(CN)4]3−, which exhibit trigonal planar and tetrahedral coordination geometry, respectively. These complexes contrast with those of silver and gold cyanides, which form [M(CN)2]− ions in solution. The coordination polymer KCu(CN)2 contains [Cu(CN)2]− units, which link together forming helical anionic chains.Housecroft, Catherine E.; Sharpe, Alan G. (2008) Inorganic Chemistry (3rd ed.), Pearson: Prentice Hall.
As a type I copper protein, amicyanin contains one copper atom coordinated by two histidine residues and a cysteine residue in a trigonal planar structure along with an axial methionine residue ligand. Alterations from this particular coordination of the copper centre are found to negatively alter the redox potential of amicyanin. In P. denitrificans, amicyanin exists in a three-part complex along with MADH and cytochrome c-551i. This is the only redox complex composed of three weakly associated proteins naturally observed.
They decompose slowly at room temperature. Thorium forms the monocapped trigonal prismatic anion [Th(CH3)7]3−, heptamethylthorate, which forms the salt [Li(tmeda)]3[ThMe7] (tmeda= Me2NCH2CH2NMe2). Although one methyl group is only attached to the thorium atom (Th–C distance 257.1 pm) and the other six connect the lithium and thorium atoms (Th–C distances 265.5–276.5 pm), they behave equivalently in solution. Tetramethylthorium, Th(CH3)4, is not known, but its adducts are stabilised by phosphine ligands.
X-ray diffraction (XRD) analysis confirmed the di-coordinate structure of the complex, while also providing insight into its overall geometry. The C3N2Si ring was found to exist in a puckered conformation, with a trigonal planar C-Si-C arrangement. The Si-C bond lengths were found to be 1.864 Å and 1.874 Å and thus asymmetrical . The shortened bonds were also verified from DFT calculations, wherein the HOMO shows π-electron delocalization from the silicon lone pair into the carbene ring.
GdCl3 crystallizes with a hexagonal UCl3 structure, as seen for other 4f trichlorides including those of La, Ce, Pr, Nd, Pm, Sm, Eu. The following crystallize in theYCl3 motif: DyCl3, HoCl3, ErCl3, TmCl3, YdCl3, LuCl3, YCl3). The UCl3 motif features 9-coordinate metal with a tricapped trigonal prismatic coordination sphere. In the hexahydrate of gadolinium(III) chloride and other smaller 4f trichlorides and tribromides, six H2O molecules and 2 Cl− ions coordinate to the cations resulting in a coordination group of 8.
The protein structure of a Type 1 blue copper protein, amicyanin, is built off of polypeptide folds that are commonly found in blue copper proteins β sandwich structure. The structure is very similar to plastocyanin and azurin as they also identify as Type 1 copper proteins. They are also similar to one another due to the geometry of the copper site of each copper protein. The protein azurin has a trigonal bipyramidal geometry with elongated axial glycine and methoinione sulfur ligands.
Tri-color elbaite crystals on quartz, Himalaya Mine, San Diego Co., California, US Tourmaline is a six-member ring cyclosilicate having a trigonal crystal system. It occurs as long, slender to thick prismatic and columnar crystals that are usually triangular in cross-section, often with curved striated faces. The style of termination at the ends of crystals is sometimes asymmetrical, called hemimorphism. Small slender prismatic crystals are common in a fine-grained granite called aplite, often forming radial daisy-like patterns.
Cervandonite is a rare arsenosilicate mineral. It has a chemical formula or . It has a monoclinic crustal structure with supercell (Z=6), the crystal structure was established as a trigonal subcell, with space group R3m and a = 6.508(1)Ǻ, c = 18.520(3) Ǻ, V 679.4(2) Ǻ3, and Z=3. It was first described by Buhler Armbruster in 1988, but it has proven to be problem due to the extreme scarcity of single crystals and its unusual replacement of silicon and arsenic.
The table below shows the monomeric hydride for each element that is closest to, but not surpassing its heuristic valence. A heuristic valence is the valence of an element that strictly obeys the octet, duodectet, and sexdectet valence rules. Elements may be prevented from reaching their heuristic valence by various steric and electronic effects. In the case of chromium, for example, stearic hindrance ensures that both the octahedral and trigonal prismatic molecular geometries for are thermodynamically unstable to rearranging to a Kubas complex structural isomer.
Isomers with a trigonal bipyramidal geometry are able to interconvert through a process known as Berry pseudorotation. Pseudorotation is similar in concept to the movement of a conformational diastereomer, though no full revolutions are completed. In the process of pseudorotation, two equatorial ligands (both of which have a shorter bond length than the third) "shift" toward the molecule's axis, while the axial ligands simultaneously "shift" toward the equator, creating a constant cyclical movement. Pseudorotation is particularly notable in simple molecules such as phosphorus pentafluoride (PF5).
When the saturation state is high, organisms can extract the calcium and carbonate ions from the seawater and form solid crystals of calcium carbonate. Ca2+(aq) \+ 2HCO3−(aq) → CaCO3(s) \+ CO2 \+ H2O The three most common calcium carbonate minerals are aragonite, calcite, and vaterite. Though these minerals have the same chemical formula (CaCO3), they are considered polymorphs because the atoms making up the molecules are stacked in different configurations. For example, aragonite minerals have an orthorhombic crystal lattice structure while calcite crystals have a trigonal structure.
YInMn Blue (for yttrium, indium, manganese), also known as Oregon Blue, Mas Blue, or Yin Min Blue, is an inorganic blue pigment that was discovered accidentally by Professor Mas Subramanian and his then-graduate student Andrew E. Smith at Oregon State University in 2009. It is the first inorganic blue pigment discovered in 200 years, since cobalt blue was identified in 1802. The compound has a unique trigonal bipyramidal structure, and further research has discovered it may be modified to create green, purple, and orange pigments.
Phosphoenolpyruvate carboxylase (PEPC) is an enzyme that combines bicarbonate and phosphoenolpyruvate (PEP) to form the four-carbon acid, oxaloacetate. It is an important enzyme in C4 photosynthesis and anaplerotic pathways. It is also responsible for the position-specific enrichment of oxaloacetate, due to the equilibrium isotope effect of converting the linear molecule CO2 into the trigonal planar molecule HCO3-, which partitions 13C into bicarbonate. Inside the PEPC enzyme, H12CO3\- reacts 1.0022 times faster than H13CO3\- so that PEPC has a 0.22% kinetic isotope effect.
Dicarbonyltris(triphenylphosphine)ruthenium(0) or Roper's complex is a ruthenium metal carbonyl. In it, two carbon monoxide ligands and three triphenylphosphine ligands are coordinated to a central ruthenium(0) center. In solution, this compound readily dissociates one of the three phosphine ligands, thereby generating a reactive 16-electron complex that binds or oxidatively adds a variety of substrates such as alkynes, olefins, dihydrogen, and dioxygen. The compound has a trigonal bipyramidal molecular geometry and, in solution, exists as a mixture of two isomers that rapidly interconvert.
The most common magnesium carbonate forms are the anhydrous salt called magnesite (MgCO3) and the di, tri, and pentahydrates known as barringtonite (MgCO3·2 H2O), nesquehonite (MgCO3·3 H2O), and lansfordite (MgCO3·5 H2O), respectively. Some basic forms such as artinite (MgCO3·Mg(OH)2·3 H2O), hydromagnesite (4 MgCO3·Mg(OH)2·4 H2O), and dypingite (4 MgCO3· Mg(OH)2·5 H2O) also occur as minerals. Magnesite consists of white trigonal crystals. The anhydrous salt is practically insoluble in water, acetone, and ammonia.
Chlorotrifluorosilane can form an addition compound with pyridine with formula SiClF3.2py (py=pyridine) An addition compound with trimethylamine exists. This addition compound is made by mixing trimethylamine vapour with Chlorotrifluorosilane and condensing out a solid at -78°C. If this was allowed to soak in trimethylamine liquid for over eight hours, a diamine complex formed (2Me3N·SiClF3). At 0° the disassociation pressure of the monoamine complex was 23 mm Hg. SiClF3− is a trigonal bipyramidal shape with a Cl and F atom on the axis.
Copper sulfides can be classified into three groups: Monosulfides, 1.6 ≤ Cu/S ≤ 2: their crystal structures consist of isolated sulfide anions that are closely related to either hcp or fcc lattices, without any direct S-S bonds. The copper ions are distributed in a complicated manner over interstitial sites with both trigonal as well as distorted tetrahedral coordination and are rather mobile. Therefore, this group of copper sulfides shows ionic conductivity at slightly elevated temperatures. In addition, the majority of its members are semiconductors.
BCl3 is a trigonal planar molecule like the other boron trihalides, and has a bond length of 175pm. A degree of π-bonding has been proposed to explain the short B− Cl distance although there is some debate as to its extent. It does not dimerize, although NMR studies of mixtures of boron trihalides shows the presence of mixed halides. The absence of dimerisation contrasts with the tendencies of AlCl3 and GaCl3, which form dimers or polymers with 4 or 6 coordinate metal centres.
In the gas phase SnBr2 is non-linear with a bent configuration similar to SnCl2 in the gas phase. The Br-Sn-Br angle is 95° and the Sn-Br bond length is 255pm.J.L Wardell "Tin:Inorganic Chemistry" Encyclopedia of Inorganic Chemistry Ed: R Bruce King John Wiley & Sons (1994) There is evidence of dimerisation in the gaseous phase. The solid state structure is related to that of SnCl2 and PbCl2 and the tin atoms have five near bromine atom neighbours in an approximately trigonal bipyramidal configuration.
The trihalides are Lewis Acids and form addition compounds with ligands. For InF3 there are few examples known however for the other halides addition compounds with tetrahedral, trigonal bipyramidal and octahedral coordination geometries are known. With halide ions there are examples of all of these geometries along with some anions with octahedrally coordinated indium and with bridging halogen atoms, In2 with three bridging halogen atoms and In2 with just one. Additionally there are examples of indium with square planar geometry in the InX52− ion.
The manganese site forms a trigonal bipyramidal geometry with four ligands from the protein and a fifth solvent ligand. This solvent ligand is a hydroxide believed to serve as the electron acceptor of the enzyme. The active site cavity consists of a network of side chains of several residues associated by hydrogen bonding, extending from the aqueous ligand of the metal. Of note, the highly conserved residue Tyr34 plays a key role in the hydrogen-bonding network, as nitration of this residue inhibits the protein's catalytic ability.
In molecules whose vibrational mode involves a rotational or pseudorotational mechanism (such as the Berry mechanism or the Bartell mechanism), van der Waals strain can cause significant differences in potential energy, even between molecules with identical geometry. PF5, for example, has significantly lower potential energy than PCl5. Despite their identical trigonal bipyramidal molecular geometry, the higher electron count of chlorine as compared to fluorine causes a potential energy spike as the molecule enters its intermediate in the mechanism and the substituents draw nearer to each other.
Afghanite, (Na,K)22Ca10[Si24Al24O96](SO4)6Cl6, is a hydrous sodium, calcium, potassium, sulfate, chloride, carbonate alumino-silicate mineral. Afghanite is a feldspathoid of the cancrinite group and typically occurs with sodalite group minerals. It forms blue to colorless, typically massive crystals in the trigonal crystal system. The lowering of the symmetry from typical (for cancrinite group) hexagonal one is due to ordering of Si and Al. It has a Mohs hardness of 5.5 to 6 and a specific gravity of 2.55 to 2.65.
The boiling point of chlorine trifluoride oxide is 29 °C. The shape of the molecule is a trigonal bipyramid, with two fluorine atoms at the top and bottom (apex) (Fa) and an electron pair, oxygen and fluorine (Fe) on the equator. The Cl=O bond length is 1.405 Å, Cl-Fe 1.603 Å, other Cl-Fa 1.713 Å, ∠FeClO=109° ∠FaClO=95°, ∠FaClFe=88°. The molecule is polarised, Cl has a +1.76 charge, O has −0.53, equatorial F has −0.31 and apex F has −0.46.
The phosphorus atom in phosphines has a formal oxidation state −3 (σ3λ3) and are the phosphorus analogues of amines. Like amines, phosphines have a trigonal pyramidal molecular geometry although often with smaller C-E-C angles (E = N, P), at least in the absence of steric effects. The C-P-C bond angle is 98.6° for trimethylphosphine increasing to 109.7° when the methyl groups are replaced by tert-butyl groups. When used as ligands, the steric bulk of tertiary phosphines is evaluated by their cone angle.
The arsenic ions are not octahedrally coordinated but have a trigonal prismatic coordination polyhedron. A consequence of this arrangement is that the nickel atoms are rather close to each other. Other compounds that share this structure, or a closely related one are some transition metal sulfides such as FeS and CoS, as well as some intermetallics. In cobalt(II) telluride, CoTe, the six tellurium and two cobalt atoms are all equidistant from the central Co atom.Fe2O3 structure Two other examples of commonly-encountered chemicals are Fe2O3 and TiO2.
From the unit cell dimensions the following bond lengths can be determined: the distance between the tungsten atoms in a hexagonally packed layer is 291 pm, the shortest distance between tungsten atoms in adjoining layers is 284 pm, and the tungsten carbon bond length is 220 pm. The tungsten-carbon bond length is therefore comparable to the single bond in (218 pm) in which there is strongly distorted trigonal prismatic coordination of tungsten. Molecular WC has been investigated and this gas phase species has a bond length of 171 pm for .
Antimony compounds of the type R5Sb (stiboranes) can be synthesised from trivalent Sb precursors: :Ph3Sb + Cl2 → Ph3SbCl2 :Ph3SbCl2 \+ 2 PhLi → Ph5Sb Asymmetric compounds can also be obtained through the stibonium ion: :R5Sb + X2 → [R4Sb]+[X] :[R4Sb]+[X] + R'MgX → R4R'Sb Just as in the related organobismuth compounds (same group 15), organoantimony(V) compounds form onium compounds and ate complexes. Pentaphenylantimony decomposes at 200 °C to triphenylstibine and biphenyl. It forms a trigonal bipyramidal molecular geometry. In the related Me5Sb all methyl protons are equivalent at -100 °C in proton NMR.
Jarosite crystals from Sierra Peña Blanca, Aldama, Chihuahua, Mexico (5.6 x 3.1 x 1.6 cm) Jarosite has a trigonal crystal structure and is brittle, with basal cleavage, a hardness of 2.5-3.5, and a specific gravity of 3.15-3.26. It is translucent to opaque with a vitreous to dull luster, and is colored dark yellow to yellowish-brown. It can sometimes be confused with limonite or goethite with which it commonly occurs in the gossan (oxidized cap over an ore body). Jarosite is an iron analogue of the potassium aluminium sulfate, alunite.
Thermal perturbations are the most common type of external stimulus used to induce SCO. One example is [FeII(tmphen)2]3[CoIII(CN)6]2 trigonal bipyramid (TBP), with the FeII centers in the equatorial positions. The HS FeII remains under 20% i the range of 4.2 K to 50 K, but at room temperature about two-thirds of the FeII ions in the sample are HS, as shown by the absorption band at 2.1 mm/s, while the other third of the ions remain in the LS state.
Porphyrin readily binds to transition metals, which are capable of octahedral or square planar geometries. Boron, without available d-orbitals, typically adopts a trigonal planar or tetrahedral local bonding environment. Diboryl porphyrins, on the other hand, find boron in a pseudo-tetrahedral local environment and introduce a tetragonal distortion to the porphyrin, as can be seen in the DFT image above.423x423pxCorroles are distinct from porphyrins in that they contain one less methine to bridge between pyrrole units, creating a lower-symmetry compound and a smaller N4 pocket.
The trigonal bipyramid shape has three equatorial positions for carbon, and two axial positions at the peaks of the pyramids. The length of the antimony-carbon bond is around 214 pm for equatorial methyl groups and 222 pm for the axial positions. The bond angles are 120° for ∠C-Sb-C across the equator, and 90° for ∠C-Sb-C between equator and axis. The molecules rapidly change carbon atom position, so that in NMR spectrum as low as −100°C, there is only one kind of hydrogen position.
For a copper sulfide, covellite has a complicated lamellar structure, with alternating layers of CuS and Cu2S2 with copper atoms of trigonal planar (uncommon) and tetrahedral coordination respectively. The layers are connected by S-S bonds (based on Van der Waals forces) known as S2 dimers. The Cu2S2 layers only has one l/3 bond along the c-axis (perpendicular to layers), thus only one bond in that direction to create a perfect cleavage {0001}. The conductivity is greater across layers due to the partially filled 3p orbitals, facilitating electron mobility.
The bite angle of a diphosphine ligand also indicates the distortion from the ideal geometry of a complex based on VSEPR models. Octahedral and square planar complexes prefer angles near 90° while tetrahedral complexes prefer angles near 110°. Since catalysts often interconvert between various geometries, the rigidity of the chelate ring can be decisive. A bidentate phosphine with a natural bite angle of 120° may preferentially occupy two equatorial sites in a trigonal bipyramidal complex whereas a bidentate phosphine with a natural bite angle of 90° may preferentially occupy apical-equatorial positions.
Susannite crystallizes in the trigonal system. It is quite soft with a Mohs hardness of 2.5 to 3.0 and a relatively high specific gravity of 6.57. An old beam engine to dewater a lead mine at nearby Wanlockhead It was discovered in 1827 in the Susannah Mine, Leadhills in the county of Lanark, Scotland. In addition to the type locality in Scotland, it has also been reported from various locations in Germany, the Tiger Mine in Pinal County, Arizona, from Iporanga, Sao Paulo, Brazil, and the Tsumeb mine of Namibia.
The B6 octahedron is smaller than the B12 icosahedron; therefore, rare-earth elements can reside in the space created by the replacement. The stacking sequences of B4C, REB15.5CN, REB22C2N and REB28.5C4 are shown in figures 12a, b, c and d, respectively. High-resolution transmission electron microscopy (HRTEM) lattice images of the latter three compounds, added to Fig. 12, do confirm the stacking sequence of each compound. The symbols 3T, 12R and 15R in brackets indicate the number of layers necessary to complete the stacking sequence, and T and R refer to trigonal and rhombohedral.
Each molybdenum atom is surrounded by six tellurium atoms in a trigonal prism with the separation of these Mo and Te atoms being 2.73 Å. This results in sublayers of molybdenum sandwiched between two sublayers of tellurium atoms, and then this three layer structure is stacked. Each layer is 6.97 Å thick. Within this layer two tellurium atoms in the same sublayer subtend an angle of 80.7°. The tellurium atoms on one sublayer are directly above those in the lower sublayer, and they subtend an angle of 83.1° at the molybdenum atom.
A right pyramid with a regular base has isosceles triangle sides, with symmetry is Cnv or [1,n], with order 2n. It can be given an extended Schläfli symbol ( ) ∨ {n}, representing a point, ( ), joined (orthogonally offset) to a regular polygon, {n}. A join operation creates a new edge between all pairs of vertices of the two joined figures.N.W. Johnson: Geometries and Transformations, (2018) Chapter 11: Finite symmetry groups, 11.3 Pyramids, Prisms, and Antiprisms The trigonal or triangular pyramid with all equilateral triangle faces becomes the regular tetrahedron, one of the Platonic solids.
3D model of a snub disphenoid In geometry, the snub disphenoid, Siamese dodecahedron, triangular dodecahedron, trigonal dodecahedron, or dodecadeltahedron is a three-dimensional convex polyhedron with twelve equilateral triangles as its faces. It is not a regular polyhedron because some vertices have four faces and others have five. It is a dodecahedron, one of the eight deltahedra (convex polyhedra with equilateral triangle faces) and one of the 92 Johnson solids (non-uniform convex polyhedra with regular faces). It can be thought of as a square antiprism where both squares are replaced with two equilateral triangles.
The nitrate ion with the partial charges shown The anion is the conjugate base of nitric acid, consisting of one central nitrogen atom surrounded by three identically bonded oxygen atoms in a trigonal planar arrangement. The nitrate ion carries a formal charge of −1. This charge results from a combination formal charge in which each of the three oxygens carries a − charge, whereas the nitrogen carries a +1 charge, all these adding up to formal charge of the polyatomic nitrate ion. This arrangement is commonly used as an example of resonance.
Chalcophyllite crystallizes in the trigonal crystal class, 3 2/m with space group R 3m or with space group R . Some authors choose a unit cell with three formula units per cell (Z=3), and some a smaller unit cell with only 1.5 formula units per cell (Z=1.5). For the larger unit cell a = 10.77 Å, c = 57.5 Å, Z=3.Corbett (1973) American Mineralogist 58: 792–793 For the smaller unit cell c is only half as long, a = 10.756 Å, c = 28.678 Å, Z = 1.5.
Beckmann realized that this must result from an inversion of configuration at the asymmetric carbon atom next to the carbonyl group (at that time thought to be carbon attached to the methyl, rather than the isopropyl group), and he postulated this as happening through an intermediate enol tautomer in which the asymmetry of the carbon atom was removed when it changed from a tetrahedral to a trigonal (planar) geometry. This was an early example of the inference of an (almost) undetectable intermediate in a reaction mechanism accounting for the outcome of the reaction.
Crystals with an inversion center cannot display certain properties, such as the piezoelectric effect. The following space groups have inversion symmetry: the triclinic space group 2, the monoclinic 10-15, the orthorhombic 47-74, the tetragonal 83-88 and 123-142, the trigonal 147, 148 and 162-167, the hexagonal 175, 176 and 191-194, the cubic 200-206 and 221-230. Point groups lacking an inversion center (non-centrosymmetric) can be polar, chiral, both, or neither. A polar point group is one whose symmetry operations leave more than one common point unmoved.
A tetrahedral intermediate is a reaction intermediate in which the bond arrangement around an initially double-bonded carbon atom has been transformed from trigonal to tetrahedral. Tetrahedral intermediates result from nucleophilic addition to a carbonyl group. The stability of tetrahedral intermediate depends on the ability of the groups attached to the new tetrahedral carbon atom to leave with the negative charge. Tetrahedral intermediates are very significant in organic syntheses and biological systems as a key intermediate in esterification, transesterification, ester hydrolysis, formation and hydrolysis of amides and peptides, hydride reductions, and other chemical reactions.
Of these, the alkyl and aryl derivatives have been investigated more deeply due to the insight they give regarding the nature of the Th–C σ bond. Of special interest is the dimer [Th(η5-C5H5)2-μ-(η5,η1-C5H5)]2, where the two thorium atoms are bridged by two cyclopentadienyl rings, similarly to the structure of niobocene. Tetrabenzylthorium, , is known, but its structure has not yet been determined. Thorium forms the monocapped trigonal prismatic anion [Th(CH3)7]3−, heptamethylthorate, which forms the salt (tmeda = Me2NCH2CH2NMe2).
Like other ketogenic rearrangements, the α-ketol rearrangement involves the transformation of an alkoxide into a carbonyl group with concomitant movement of the bonding electrons of the migrating group towards an adjacent trigonal center. A distinctive feature of this particular rearrangement, however, is its reversibility—as a result, the more stable α-hydroxy carbonyl compound is favored. A general scheme for the rearrangement is shown below. (1)330px This rearrangement differs from similar isomerizations of carbohydrates, which involve the migration of hydrogen and proceed through discrete enediol intermediates.
First synthesised in 1885 by Legler, HMTD may be prepared by the reaction of an aqueous solution of hydrogen peroxide and hexamine in the presence of an acid catalyst, such as citric acid, acetic acid or dilute sulfuric acid. The hydrogen peroxide needs to be at least 12% w/w concentration, as lower concetrations lead to poor yields. Citric acid is overall superior to other acids, providing a yield of up to about 50%. The molecule adopts a cage-like structure with the nitrogen atoms having a trigonal planar geometry.
Whether or not the material will exhibit Pockels effect depends on its symmetry. Both centrosymmetric and non-centrosymmetric media will exhibit an effect similar to Pockels, the Kerr effect. The refractive index change will be proportional to the square of the electric field strength and will therefore be much weaker than the Pockels effect. It is only the non-centrosymmetric materials that can exhibit the Pockels effect: for instance, lithium tantalite (trigonal crystal) or gallium arsenide (zinc-blende crystal); as well as poled polymers with specifically designed organic molecules.
Zinc azide is a coordination polymer, which crystallizes in three polymorphs, all of which feature tetrahedral zinc centers and bridging azide ligands. α-Zn(N3)2 crystallizes in the monoclinic space group and is stable, while the other two polymorphs are metastable. P21/n. β-Zn(N3)2 is trigonal, space group P3221, and γ-Zn(N3)2 is monoclinic, space group C2. It is easily hydrolyzed, and attempts to prepare it in aqueous solution resulted in the precipitation of basic azides Zn(OH)2-x(N3)x (x = 0.9–1.0).
The thallium trihalides are less stable than their corresponding aluminium, gallium and indium counterparts and chemically quite distinct. The triiodide does not contain thallium with oxidation state +3 but is a thallium(I) compound and contains the linear triiodide (I3−) ion. ;Thallium(III) fluoride :TlF3 is a white crystalline solid , mp 550 °C. The crystal structure is the same as YF3 and . In this the thallium atom is 9 coordinate,(tricapped trigonal prismatic). It can be synthesised by fluoridation of the oxide, Tl2O3, with F2, BrF3 or SF4 at 300 °C.
Analysis of the same rock has revealed the presence of two analogues of ekplexite, kaskasite (molybdenum-analogue) and manganokaskasite (molybdenum- and manganese-analogue). All three minerals belong to the valleriite group, and crystallize in the trigonal system with similar possible space groups.Pekov., I.V., Yapaskurt, V.O., Polekhovsky, Y.S., Vigasina, M.F., and Siidra, O.I., 2014. Ekplexite (Nb,Mo)S2·(Mg1−xAlx)(OH)2+x, kaskasite (Mo,Nb)S2·(Mg1−xAlx)(OH)2+x and manganokaskasite (Mo,Nb)S2·(Mn1−xAlx)(OH)2+x, three new valleriite-group mineral species from the Khibiny alkaline complex, Kola peninsula, Russia.
This reaction generally proceeds with a low activation energy and a large negative entropy of activation. This further supports the cyclic three member transition state, as this would be considerably more ordered than the ground state of the starting material. The reaction proceeds with overall retention at the silicon center, as demonstrated with a Walden Cycle (shown below). This supports a pentacoordinate silicon as part of the mechanism, as trigonal bipyramidal geometry around the silicon with one of the O or C axial and the other equatorial would explain the observed retention in configuration at the silicon center.
The results of the testing found that kosnarite had large amounts of zirconium, phosphorus, and potassium. In the samples, there were also traces of calcium, zinc, and manganese, but these elements make up less than one percent, so they were classified as impurities. Physically, kosnarite from the pegmatites found in Maine occurred as rhombohedral crystals with a hexagonal unit cell and were pseudocubic with a maximum size of around 0.9mm. This is important as zirconium is in the form of a six coordinated octahedron and potassium is structured in a shape called a trigonal antiprism that is also six coordinated.
Very dark green crystals of the rare phosphate mineral olgite from the type locality in Kola (Karnasurt Mountain, Lovozero Massif, Murmansk Oblast, Russian Federation) Olgite is a rare blue-green colored phosphate mineral series that forms microscopic prismatic crystals that are trigonal in structure. Its chemical formula is Na(Sr,Ba)PO4.Olgite on Mindat Olgite was discredited as a mineral name in 2008 by the International Mineralogical Association and is now the series name for bario-olgite and strontio-olgite (hypothetical mineral).Olgite on Webmin The substance was named after Russian mineralogist Olga Anisimovne-Vorobiova (1902–1974).
Intradiol enzymes cleave the carbon-carbon bond between the two hydroxyl groups. The active ferric center is coordinated by four protein ligands—two histidine and two tyrosinate residues—in a trigonal bipyramidal manner with a water molecule occupying the fifth coordination site. Once a catecholate substrate binds to the metal center in a bidentate fashion through the deprotonated hydroxyl groups, the ferric iron “activates” the substrate by means of abstracting an electron to produce a radical on the substrate. This then allows for reaction with dioxygen and subsequent intradiol cleavage to occur through a cyclic anhydride intermediate.
The ARD enzymes all chelate the catalytic metal (either Ni or Fe) through the 3-His-1-Glu motif. In these dioxygenases, the coordinating ligands are provided by both of the typical cupin motifs. In the ARD enzymes, the metal exists in an octahedral arrangement with the three histidine residues comprising a facial triad. The bacterial quercetinase metal centers typically have a trigonal bipyramidal or octahedral coordination environment when there are four protein ligands; the metal centers of the copper-dependent QueD enzymes possesses a distorted tetrahedral geometry in which only the three conserved histidine residues provide coordination ligands.
Representative ketones, from the left: acetone, a common solvent; oxaloacetate, an intermediate in the metabolism of sugars; acetylacetone in its (mono) enol form (the enol highlighted in blue); cyclohexanone, precursor to nylon; muscone, an animal scent; and tetracycline, an antibiotic. The ketone carbon is often described as "sp2 hybridized", a description that includes both their electronic and molecular structure. Ketones are trigonal planar around the ketonic carbon, with C−C−O and C−C−C bond angles of approximately 120°. Ketones differ from aldehydes in that the carbonyl group (CO) is bonded to two carbons within a carbon skeleton.
Pezzottaite, marketed under the name raspberyl or raspberry beryl, is a mineral species first recognized by the International Mineralogical Association in September 2003. Pezzottaite is a caesium analogue of beryl, a silicate of caesium, beryllium, lithium and aluminium, with the chemical formula Cs(Be2Li)Al2Si6O18. Named after Italian geologist and mineralogist Federico Pezzotta, pezzottaite was first thought to be either red beryl or a new variety of beryl ("caesium beryl"); unlike actual beryl, however, pezzottaite contains lithium and crystallizes in the trigonal crystal system rather than the hexagonal system. Colors include shades of raspberry red to orange-red and pink.
The compound is prepared by passing anhydrous hydrogen fluoride over anhydrous chromium(II) chloride. The reaction will proceed at room temperature but is typically heated to 100-200 °C to ensure completion: :CrCl2 \+ 2 HF → CrF2 \+ 2 HCl Like many difluorides, CrF2 adopts a structure like rutile with octahedral molecular geometry about Cr(II) and trigonal geometry at F−. Two of the six Cr-F bonds are long at 2.43 Å, and four are short near 2.00 Å.Jack, K. H.; Maitland, R. "Crystal structures and interatomic bonding of chromous and chromic fluorides" Proceedings of the Chemical Society, London (1957), 232.
Direct coordination with these four magnesium ions and hydrogen bonding interactions with Arg43, Lys29, and Lys142 (all positively charged residues) have been shown to anchor the substrate to the active site. The four magnesium ions are also suggested to be involved in the stabilization of the trigonal bipyramid transition state, which lowers the energetic barrier for the aforementioned nucleophilic attack. Several studies have also identified additional substrates that can act as allosteric effectors. In particular, the binding of pyrophosphate (PPi) to the effector site of inorganic pyrophosphatase increases its rate of hydrolysis at the active site.
According to VSEPR theory, T-shaped geometry results when three ligands and two lone pairs of electrons are bonded to the central atom, written in AXE notation as AX3E2. The T-shaped geometry is related to the trigonal bipyramidal molecular geometry for AX5 molecules with three equatorial and two axial ligands. In an AX3E2 molecule, the two lone pairs occupy two equatorial positions, and the three ligand atoms occupy the two axial positions as well as one equatorial position. The three atoms bond at 90° angles on one side of the central atom, producing the T shape.
Though weak, as discussed above, NHSis do exhibit metal to Si 3p π-backbonding, as evidenced by the shortness of NHSi-metal bonds compared to standard metal-Si single bonds. In the complex [tBuN-CH=CH-tBuN]Si:-Fe(CO)4, the NHSi readily takes the place of strongly backbonding carbonyls. For the trigonal-bipyramidal iron, the NHSi adopts an equatorial position over axial, with shorter equatorial Fe-Si distance (2.196Å vs 2.237Å) due to better overlap of the empty acidic 3p orbital with the metal d orbitals at this position. Sterically, NHSis resemble NHCs, however, the tighter N-Si-N angle (c.
The complex adopts a trigonal bipyramidal geometry with trans CO and hydrido ligands, resulting in pseudo-C3v symmetry. The Rh-P, Rh-C, and Rh-H distances are 2.32, 1.83, and 1.60 Å, respectively.I. S. Babra, L. S. Morley, S. C. Nyburg, A. W. Parkins "The crystal and molecular structure of a new polymorph of a carbonlyhydridotris(triphenylphosphine)rhodium(I) having a Rh-H stretching absorption at 2013 cm−1" Journal of Crystallographic and Spectroscopic Research 23. 1993. 999. .S. J. la Placa, J. A. Ibers "Crystal and Molecular Structure of Tristriphenylphosphine Rhodium Carbonyl Hydride" Acta Crystallogr.
Early considerations of the geometry of hypervalent molecules returned familiar arrangements that were well explained by the VSEPR model for atomic bonding. Accordingly, AB5 and AB6 type molecules would possess a trigonal bi-pyramidal and octahedral geometry, respectively. However, in order to account for the observed bond angles, bond lengths and apparent violation of the Lewis octet rule, several alternative models have been proposed. In the 1950s an expanded valence shell treatment of hypervalent bonding was adduced to explain the molecular architecture, where the central atom of penta- and hexacoordinated molecules would utilize d AOs in addition to s and p AOs.
Parisite is a rare mineral consisting of cerium, lanthanum and calcium fluoro- carbonate, Ca(Ce,La)2(CO3)3F2. Parisite is mostly parisite-(Ce), but when neodymium is present in the structure the mineral becomes parisite-(Nd). It is found only as crystals, which belong to the trigonal or monoclinic pseudo- hexagonal system and usually have the form of acute double pyramids terminated by the basal planes; the faces of the hexagonal pyramids are striated horizontally, and parallel to the basal plane there is a perfect cleavage. The crystals are hair-brown in color and are translucent.
Berkelium forms a trigonal (η5–C5H5)3Bk complex with three cyclopentadienyl rings, which can be synthesized by reacting berkelium(III) chloride with the molten beryllocene Be(C5H5)2 at about 70 °C. It has an amber color and orthorhombic symmetry, with the lattice constants of a = 1411 pm, b = 1755 pm and c = 963 pm and the calculated density of 2.47 g/cm3. The complex is stable to heating to at least 250 °C, and sublimates without melting at about 350 °C. The high radioactivity of berkelium gradually destroys the compound within a period of weeks.
In chemistry, the capped square antiprismatic molecular geometry describes the shape of compounds where nine atoms, groups of atoms, or ligands are arranged around a central atom, defining the vertices of a gyroelongated square pyramid. The gyroelongated square pyramid is a square pyramid with a square antiprism connected to the square base. In this respect, it can be seen as a "capped" square antiprism (a square antiprism with a pyramid erected on one of the square faces). It is very similar to the tricapped trigonal prismatic molecular geometry, and there is some dispute over the specific geometry exhibited by certain molecules.
When an edge forms one of the two equal sides of its adjacent isosceles triangle faces, the six disphenoids surrounding the edge form a special type of parallelepiped called a trigonal trapezohedron. : 300px An orientation of the tetragonal disphenoid honeycomb can be obtained by starting with a cubic honeycomb, subdividing it at the planes x=y, x=z, and y=z (i.e. subdividing each cube into path-tetrahedra), then squashing it along the main diagonal until the distance between the points (0, 0, 0) and (1, 1, 1) becomes the same as the distance between the points (0, 0, 0) and (0, 0, 1).
Each of the semimetal atoms, arsenic and antimony, is bonded to three sulfur atoms to form a trigonal pyramid characteristic of elements in group V of the periodic table. These pyramids form 8-membered rings which in turn combine to form sheets parallel to (001), with each sulfur atom bonded to two semimetal atoms. The occupancy of the metal sites is disordered, and within the sheets the 8-membered rings are orientated normal to the plane of the sheet. The sheet structure is responsible for the cleavage and twin planes of getchellite Unit cell a = 11.949 Å; b = 9.028 Å; c = 10.130 Å; β= 116.15°; V = 980.9 Å3; Z = 8.
Figure 2. The active site of 1,2-CTD. This non-heme Fe3+ complex is axially ligated by Tyr200 and His226 and equatorially ligated by Tyr164, His224, and a solvent water molecule, giving the active site an overall trigonal bipyramidal geometry Almost all members of the 1,2-CTD family are homodimers; the 1,2-CTD enzyme produced by Pseudomonas arvilla is the exception to this rule, containing two highly homologous subunits that can form either a homo- or hetero- dimer. The enzyme resembles a boomerang in shape, and can therefore be clearly divided into three domains: two catalytic domains residing at each end of the “boomerang” and a linker domain at the center.
More generally, atoms or atom groups that can form three or more non-equivalent single bonds (such as the transition metals in coordination compounds) may give rise to multiple stereoisomers when different atoms or groups are attached at those positions. The same is true if a center with six or more equivalent bonds has two or more substituents. For instance, in the compound , the bonds from the phosphorus atom to the five halogens have approximately trigonal bipyramidal geometry. Thus two stereoisomers with that formula are possible, depending on whether the chlorine atom occupies one of the two "axial" positions, or one of the three "equatorial" positions.
The molecular geometry of the methyl radical is trigonal planar (bond angles are 120°), although the energy cost of distortion to a pyramidal geometry is small. All other electron-neutral, non-conjugated alkyl radicals are pyramidalized to some extent, though with very small inversion barriers. For instance, t-butyl radical has a bond angle of 118° with a 0.7 kcal/mol barrier to pyramidal inversion. On the other hand, substitution of hydrogen atoms by more electronegative substituents leads to radicals with a strongly pyramidal geometry (112°), such as the trifluoromethyl radical, CF3, with a much more substantial inversion barrier of around 25 kcal/mol.
The crystal class is trigonal , space group R, the same as for the other members of the dolomite group. There are layers of (CO3)2− groups perpendicular to the long crystal axis c, and between these layers there are layers of the cations Ca2+ and Mn2+. If there were perfect ordering amongst the cations they would separate into different layers, giving rise to the ordered sequence: Ca-(CO3)-Mn-(CO3)-Ca-(CO3)-Mn-(CO3)- along the c axis, not all specimens, however, display such ordering.Peacor, D R, Essene, E J and Gaines, A M (1987) Petrologic and crystal-chemical implications of cation order-disorder in kutnahorite.
Some pairs of minerals that are not related structurally or compositionally may also exhibit epitaxy. A common example is rutile TiO2 on hematite Fe2O3. Rutile is tetragonal and hematite is trigonal, but there are directions of similar spacing between the atoms in the (100) plane of rutile (perpendicular to the a axis) and the (001) plane of hematite (perpendicular to the c axis). In epitaxy these directions tend to line up with each other, resulting in the axis of the rutile overgrowth being parallel to the c axis of hematite, and the c axis of rutile being parallel to one of the axes of hematite.
The crystal and molecular structure was elucidated by X-ray crystallography. The X-ray diffraction study confirmed the tricyclic ring structure and gave insight toward the geometry of the complex. With a tin-nitrogen distance of 2.624 Å, the formal bond order was calculated to be about 0.46. The presence of the tin-nitrogen interaction, albeit weaker than anticipated, led to a few key discoveries: (1) the distortion from ideal trigonal bipyramidal toward monocapped tetrahedron geometry; (2) the lengthening of the apical tin-methyl bond by ~ 0.1 Å (largest known value for any existing tetraorganotin compounds); (3) the observation of unusual hybridization at the apical tin-methyl bond.
The bicarbonate ion (hydrogencarbonate ion) is an anion with the empirical formula and a molecular mass of 61.01 daltons; it consists of one central carbon atom surrounded by three oxygen atoms in a trigonal planar arrangement, with a hydrogen atom attached to one of the oxygens. It is isoelectronic with nitric acid . The bicarbonate ion carries a negative one formal charge and is an amphiprotic species which has both acidic and basic properties. It is both the conjugate base of carbonic acid ; and the conjugate acid of , the carbonate ion, as shown by these equilibrium reactions: : + 2 H2O + H2O + OH− H2CO3 \+ 2 OH− :H2CO3 \+ 2 H2O + H3O+ \+ H2O + 2 H3O+.
However, this theory has been proven to be erroneous as the fossil specimen in question was a molt, rather than an actual carcass, and did show apparent signs of disarticulation. The telson of Salteropterus is very distinctive and though its function remains unknown (possibly used for additional balancing), it was likely not used as a weapon in the same way the telson of Slimonia was. The flattened portion is trigonal and smaller than that of Slimonia but the telson spike is far longer, forming something akin to a stem with knobs running alongside it and ending in a tri-lobed organ unseen in any other eurypterid.
Freieslebenite is a superstructure of a PbS-type substructure. The crystal structure is monoclinic with a space group P21/a, with a = 7.518(1), b = 12.809(4), c = 5.940(1) Å, β = 92.25(1)° and Z = 4(Ito, 1973). Sb has a trigonal-pyramidal coordination of S atoms, this structure isolates the SbS3 pyramids from themselves. The Sb–S distances are 2.431, 2.453 and 2.480(4) Å. Six S atoms are coordinated with Pb in a distorted octahedral arrangement. The Pb–S distances range from 2.806 to 3.167(4) Å. Ag has three nearest S neighbors at the distances 2.522, 2.575 and 2.687(4) Å. The AgS3 group is almost planar.
Single-crystal X-ray studies indicate that the PF5 has trigonal bipyramidal geometry. Thus it has two distinct types of P−F bonds (axial and equatorial): the length of an axial P−F bond is distinct from the equatorial P−F bond in the solid phase, but not the liquid or gas phases due to Pseudo Berry Rotation. Fluorine-19 NMR spectroscopy, even at temperatures as low as −100 °C, fails to distinguish the axial from the equatorial fluorine environments. The apparent equivalency arises from the low barrier for pseudorotation via the Berry mechanism, by which the axial and equatorial fluorine atoms rapidly exchange positions.
In its monomeric form, zinc pyrithione has two of the anions chelated to a zinc centre with a tetrahedral geometry. In the solid state, it forms a dimer in which each zinc centre adopts a trigonal bipyramidal geometry with two of the anions acting as bridging ligands coordinated through the oxygen atoms in the axial positions. In solution, the dimers dissociate via scission of zinc- oxygen bonds to each bridging ligand. Further dissociation of the monomer into its constituents can occur and is undesirable as the complex is more potent in medical applications; for this reason, zinc carbonate can be added to formulations as it inhibits the monomer dissociation.
The oxidation of tellurium by in liquid produces the same square planar cation, in addition to the trigonal prismatic, yellow- orange : :4 Te + 3 → + :6 Te + 6 → + 2 Other tellurium Zintl cations include the polymeric and the blue-black , consisting of two fused 5-membered tellurium rings. The latter cation is formed by the reaction of tellurium with tungsten hexachloride: :8 Te + 2 → Interchalcogen cations also exist, such as (distorted cubic geometry) and . These are formed by oxidizing mixtures of tellurium and selenium with or . ;Organotellurium compounds Tellurium does not readily form analogues of alcohols and thiols, with the functional group –TeH, that are called tellurols.
Leifite is a trigonal mineral, class 2/m, space group Pm1.Canadian Mineralogist (2002)40:183-192 There are 3 formula units in the unit cell (Z = 3), and cell dimensions are 14.4 Å in the a direction and 4.9 Å in the c direction.American Mineralogist (1972) 57:1006Bulletin of the Geological Society of Denmark 20:134 (1970) It contains OH groups, but no water of crystallization as was previously assumed.Norsk Geologisk Tidsskrift (1995) 75:243-246 Tetrahedrons of silicon or aluminium atoms surrounded by four oxygen atoms link to form six-membered rings stacked along the c direction to form channels, similar to those in zeolites.
AsCl5 is similar to phosphorus pentachloride, PCl5 in having a trigonal bipyramidal structure where the equatorial bonds are shorter than the axial bonds (As-Cleq = 210.6 pm, 211.9 pm; As-Clax= 220.7 pm). The pentachlorides of the elements above and below arsenic in group 15, phosphorus pentachloride and antimony pentachloride are much more stable and the instability of AsCl5 appears anomalous. The cause is believed to be due to incomplete shielding of the nucleus in the 4p elements following the first transition series (i.e. gallium, germanium, arsenic, selenium, bromine, and krypton) which leads to stabilisation of their 4s electrons making them less available for bonding.
In the centre of the fall, is a signal patch, which is dark brown, or burgundy brown, and in the middle of the falls, it has a row of short hairs called the 'beard', which is sparse, and white with a slightly yellow tint, or orange-white. It has broader standards, which are orbicular (rounded), or unguiculate (narrow stalk-like), they are cm long and 4.5–5 cm wide. It has short, 3.5 to 5 cm long, broad and crenulated crests, and a 2.5 cm long perianth tube. After the iris has flowered, it produces a trigonal (narrow at both ends) and long seed capsule.
Blue Copper Proteins, a class of Type 1 copper proteins, are small proteins containing a cupredoxin fold and a single Type I copper ion coordinated by two histidine N-donors, a cysteine thiolate S-donor and a methionine thioether S-donor. In the oxidized state, the Cu+2 ion will form either a trigonal bipyramidal or tetrahedral coordination. The Type 1 copper proteins are identified as blue copper proteins due to the ligand to metal charge transfer an intense band at 600 nm that gives the characteristic of a deep blue colour present in the electron absorption spectrum. The structure of active site of type 1- blue copper protein.
While an undergraduate, she participated in a summer research program with Joseph Gallian at the University of Minnesota Duluth, which began her interest in permutation patterns. Next, she went to Harvard University for her doctoral studies, and earned a Ph.D. there in 1997; her dissertation, entitled Moduli of Trigonal Curves, was supervised by Joe Harris. She worked at the University of California, Berkeley as Morrey Assistant Professor of Mathematics before joining the Mills College faculty in 1999, and continues to teach one course per year as a visiting professor at Berkeley... She also serves on the advisory board of the Proof School in San Francisco.
Within the titanium-selenium system, many stoichiometries have been identified. Titanium diselenide crystallizes with the CdI2 -type structure, in which the octahedral holes between alternating hexagonal closely packed layer of Se2− layers (that is half of the total number of octahedral holes) are occupied by Ti4+ centers. The CdI2 structure is often referred to as a layer structure as the repeating layers of atoms perpendicular to the close packed layer form the sequence Se- Ti-Se…Se-Ti-Se…Se-Ti-Se with weak van der Waals interactions between the selenium atoms in adjacent layers. The structure has (6,3)-coordination, being octahedral for the cation and trigonal pyramidal for the anions.
For covalent bonding a chalcogen may accept two electrons according to the octet rule, leaving two lone pairs. When an atom forms two single bonds, they form an angle between 90° and 120°. In 1+ cations, such as , a chalcogen forms three molecular orbitals arranged in a trigonal pyramidal fashion and one lone pair. Double bonds are also common in chalcogen compounds, for example in chalcogenates (see below). The oxidation number of the most common chalcogen compounds with positive metals is −2. However the tendency for chalcogens to form compounds in the −2 state decreases towards the heavier chalcogens. Other oxidation numbers, such as −1 in pyrite and peroxide, do occur. The highest formal oxidation number is +6.
The mineral ettringite has a structure that runs parallel to the c axis -the needle axis-; in the middle of these two lie the sulfate ions and H2O molecules, the space group is P31c. Ettringite crystal system is trigonal, crystals are elongated and in a needle like shape, occurrence of disorder or twining is common, which affects the intercolumn material.Moore A E , Taylor H F W (1970), Crystal structure of ettringit, Acta Crystallographica Section B , 26 p.386-393 The first X-ray study was done by Bannister, Hey & Bernal (1936), which found that the crystal unit cell is of a hexagonal form with a=11.26 and c=21.48 with space group P63/mmcand Z=2.
The structure of the black needle-like form of Sb2S3, stibnite, consists of linked ribbons in which antimony atoms are in two different coordination environments, trigonal pyramidal and square pyramidal. Similar ribbons occur in Bi2S3 and Sb2Se3.Wells A.F. (1984) Structural Inorganic Chemistry 5th edition Oxford Science Publications The red form, metastibnite, is amorphous. Recent work suggests that there are a number of closely related temperature dependent structures of stibnite which have been termed stibnite (I) the high temperature form, identified previously, stibnite (II) and stibnite (III).Kuze S., Du Boulay D., Ishizawa N., Saiki A, Pring A.; (2004), X ray diffraction evidence for a monoclinic form of stibnite, Sb2S3, below 290K; American Mineralogist, 9(89), 1022-1025.
It was first reported in 1930 by Ruff and Krug who prepared it by fluorination of chlorine; this also produced ClF and the mixture was separated by distillation. :3 F2 \+ Cl2 → 2 ClF3 The molecular geometry of ClF3 is approximately T-shaped, with one short bond (1.598 Å) and two long bonds (1.698 Å). This structure agrees with the prediction of VSEPR theory, which predicts lone pairs of electrons as occupying two equatorial positions of a hypothetic trigonal bipyramid. The elongated Cl-F axial bonds are consistent with hypervalent bonding. Pure ClF3 is stable to 180 °C in quartz vessels; above this temperature it decomposes by a free radical mechanism to its constituent elements.
Reacting this compound with phenylacetylene at room temperature resulted in a cis-1,2-addition across the alkyne bond, generating a zwitterionic, six-membered Te-B heterocycle, as observed using X-ray diffraction spectroscopy. It was found that the coordination geometries around tellurium and boron were pseudo-trigonal pyramidal, and pseudo-tetrahedral, respectively. The C-C bond length was observed to be 1.326(4) Å, much longer than a C-C triple bond and closer to a C-C double bond, indicating that the compound had activated phenylacetylene through FLP chemistry. However, unlike other reported FLP compounds, it was unable to activate H2 or bind CO2, which was attributed to the fact that telluroethers are poor nucleophiles.
In chemistry, the capped octahedral molecular geometry describes the shape of compounds where seven atoms or groups of atoms or ligands are arranged around a central atom defining the vertices of a gyroelongated triangular pyramid. This shape has C3v symmetry and is one of the three common shapes for heptacoordinate transition metal complexes, along with the pentagonal bipyramid and the capped trigonal prism.Wells A.F. (1984) Structural Inorganic Chemistry 5th edition Oxford Science Publications Examples of the capped octahedral molecular geometry are the heptafluoromolybdate () and the heptafluorotungstate () ions. The "distorted octahedral geometry" exhibited by some AX6E1 molecules such as xenon hexafluoride (XeF6) is a variant of this geometry, with the lone pair occupying the "cap" position.
In trans-cycloheptene, however, the size of the ring makes it impossible for the alkene and its two attached carbons to have this geometry because the remaining three carbons could not reach far enough to close the ring (see also Bredt's rule). There would have to be unusually large angles (angle strain), unusually long bond-lengths, or the atoms of the alkane-like loop would collide with the alkene part (steric strain). Part of the strain is relieved by pyramidalization of each alkene carbon and their rotation relative to each other. The pyramidalization angle is estimated at 37° (compared to an angle of 0° for an atom with normal trigonal–planar geometry) and the p-orbital misalignment is 30.1°.
Cinnabar has a mean refractive index near 3.2, a hardness between 2.0 and 2.5, and a specific gravity of approximately 8.1. The color and properties derive from a structure that is a hexagonal crystalline lattice belonging to the trigonal crystal system, crystals that sometimes exhibit twinning. Cinnabar has been used for its color since antiquity in the Near East, including as a rouge-type cosmetic, in the New World since the Olmec culture, and in China since as early as the Yangshao culture, where it was used in coloring stoneware. Associated modern precautions for use and handling of cinnabar arise from the toxicity of the mercury component, which was recognized as early as ancient Rome.
The Polish commission report also called for some modernizations in the Il-62 design, most notably doubling the flight controls, so that if one system failed the plane would still be controllable. At the time, redundant controls of this kind were in general use in American and European-made airliners. This issue was never addressed by the Soviets; none of their Ilyushins of any type had installed alternate controls. Memorial to the Boxing victims A small statue dedicated to the boxers who perished in the accident – a trigonal prism made of bronze, with a knocked-out boxer statue at the top—is located at the grounds of Warsaw sport club Skra Warszawa.
Mass spectroscopy (MS), 29Si-NMR, and carbon-13 NMR (13C-NMR) of the complex verified its identity as an isomer. X-ray single-crystal analysis revealed a trigonal pyramidal geometry with respect to the central silicon and three carbon atoms: this also revealed the presence of a six-membered. Density functional theory (DFT) calculations suggested that the remaining Si-cAAC bond becomes a covalent double bond rather than as a donor-acceptor interaction. In total consideration of the data, the authors propose a mechanism in which an initial one-electron reduction of the carbene carbon is followed by radical activation of the ligand's Me2(Ar)C−H bond to induce Si-C bond formation.
Similarly to the Berry mechanism in square planar molecules, the symmetry of the intermediary phase of the vibrational mode is "chimeric"WJ Adams, HB Thompson, LS Bartell, 1970, J. Chem. Phys. 53:4040-6.LS Bartell, MJ Rothman & A Gavezzotti, 1982, , J. Chem. Phys. 76:4136-4413.M Cass, KK Hii & HS Rzepa, 2005, "Mechanisms that interchange axial and equatorial atoms in fluxional processes: Illustration of the Berry pseudorotation, the turnstile and the lever mechanisms via animation of transition state normal vibrational modes", J. Chem. Educ. (online), 2005; see , accessed 28 May 2014 of other mechanisms; it displays characteristics of the Berry mechanism, a "lever" mechanism seen in pseudorotation of disphenoidal molecules, and a "turnstile" mechanism (which can be seen in trigonal bipyramidal molecules under certain conditions).
The problem for cubic crystal system has been approached by Bozorth, and partial results have been obtained by different authors, but exact complete phase diagrams with anisotropy contributions up to sixth and eighth order have only been determined more recently. The FOMP in the trigonal crystal system has been analyzed for case of the anisotropy energy expression up to forth order: :\displaystyle E_A=K_1\sin^2\theta+K_2\sin^4\theta+K_t\sin^3\theta\cos\theta\sin3\phi where and are the polar angles of the magnetization vector with respect to c-axis. The study of the energy derivatives allows the determination of the magnetic phase and the FOMP-phase as in the hexagonal case, see the reference for the diagrams.
A 2015 study indicates that the lower mantle's high pressure causes carbon bonds to transition from sp2 to sp3 hybridised orbitals, resulting in carbon tetrahedrally bonding to oxygen. CO3 trigonal groups cannot form polymerisable networks, while tetrahedral CO4 can, signifying an increase in carbon's coordination number, and therefore drastic changes in carbonate compounds' properties in the lower mantle. As an example, preliminary theoretical studies suggest that high pressure causes carbonate melt viscosity to increase; the melts' lower mobility as a result of its increased viscosity causes large deposits of carbon deep into the mantle. Figure depicting carbon outgassing through various processes Accordingly, carbon can remain in the lower mantle for long periods of time, but large concentrations of carbon frequently find their way back to the lithosphere.
As the concentration of trace elements that serve as coloring agents changes, there will be areas of less or more color in different parts of the crystal. When the crystal is sliced perpendicular to the c axis, triangular zoning may be seen, together with a trigonal star that radiates from the centre of the crystal, with the three rays directed towards the corners of the triangular color patterns.extraLapis English No 3: Tourmaline (2002) The pink-red color is due to the manganese Mn3+ content, and the green color is due to intervalence charge transfer transactions between iron Fe2+ and titanium Ti4+. The streak is white to very light brown, lighter than the mass color, luster is vitreous and crystals are transparent to translucent.
For hypervalent compounds in which the ligands are more electronegative than the central, hypervalent atom, resonance structures can be drawn with no more than four covalent electron pair bonds and completed with ionic bonds to obey the octet rule. For example, in phosphorus pentafluoride (PF5), 5 resonance structures can be generated each with four covalent bonds and one ionic bond with greater weight in the structures placing ionic character in the axial bonds, thus satisfying the octet rule and explaining both the observed trigonal bipyramidal molecular geometry and the fact that the axial bond length (158 pm) is longer than the equatorial (154 pm). Phosphorus pentafluoride. There are 2 structures with an axial ionic bond, plus 3 structures with an equatorial ionic bond.
The history of the structure of W(CH3)6 illustrates an inherent difficulty in interpreting spectral data for new compounds: initial data may not provide reason to believe the structure deviates from a presumed geometry based on significant historical precedence, but there is always the possibility that the initial assignment will prove to be incorrect. Prior to 1989, there was no reason to suspect that ML6 compounds were anything but octahedral, yet new evidence and improved characterization methods suggested that perhaps there were exceptions to the rule, as evidenced by the case of W(CH3)6. These discoveries helped to spawn re-evaluation of the theoretical considerations for ML6 geometries. Other 6-coordinate complexes with distorted trigonal prismatic structures include [MoMe6], , and .
The polysilicon halides can be considered structural derivatives of the polysilicon hydrides, in which the side-group hydrogen atoms are substituted with halogen atoms. In the monomeric silicon dihalide (aka dihalo-silylene and dihalosilene) molecule, which is analogous to carbene molecules, the silicon atom is divalent (forms two bonds). By contrast, in both the polysilicon dihalides and the polysilicon monohalides, as well as the polysilicon hydrides, the silicon atom is tetravalent with a local coordination geometry that is tetrahedral, even though the stoichiometry of the monohalides ([SiX]n = SinXn) might erroneously imply a structural analogy between perhalopolysilynes and [linear] polyacetylenes with the similar formula (C2H2)n. The carbon atoms in the polyacetylene polymer are sp2-hybridized and thus have a local coordination geometry that is trigonal planar.
Cooperative PJTE in BaTiO3-type crystals and ferroelectricity. In crystals with PJTE centers the interaction between the local distortions may lead to their ordering to produce a phase transition to a regular crystal phase with lower symmetry. Such cooperative PJTE is quite similar to the cooperative JTE; it was shown in one of the first studies of the PJTE in solid state systems that in the case of ABO3 crystals with perovskite structure the local dipolar PJTE distortions at the transition metal B center and their cooperative interactions lead to ferroelectric phase transitions. Provided the criterion for PJTE is met, each [BO6] center has an APES with eight equivalent minima along the trigonal axes, six orthorhombic, and (higher) twelve tetragonal saddle-points between them.
InCl3 is a Lewis acid and forms complexes with donor ligands, L, InCl3L, InCl3L2, InCl3L3. For example, with the chloride ion it forms tetrahedral InCl4−, trigonal bipyramidal InCl52−, and octahedral InCl63−. In diethyl ether solution, InCl3 reacts with lithium hydride, LiH, to form LiInH4. This unstable compound decomposes below 0 °C, and is reacted in situ in organic synthesis as a reducing agentMain Group Metals in Organic Synthesis vol 1, ed. Hisashi Yamamoto, Koichiro Oshima, Wiley VCH, 2004, and to prepare tertiary amine and phosphine complexes of InH3.The Group 13 Metals Aluminium, Gallium, Indium and Thallium: Chemical Patterns and Peculiarities, Simon Aldridge, Anthony J. Downs, Wiley, 2011, Trimethylindium, InMe3, can be produced by reacting InCl3 in diethyl ether solution either with the Grignard reagent MeMgI or methyllithium, LiMe.
Driess and coworkers prepared thermally stable "half"-parent phosphasilene R2Si=PH (R2Si = (tBu3Si)(iPr3C6H2)Si), which is the first example of phosphasilene with a terminal PH group. This species was obtained as a mixture of E/Z isomers, thus its 31P NMR spectrum featured two doublets with 29Si satellites (δ=123.1, 1J (P, H)=123 Hz, 1J (P, Si)=157 Hz and δ=134.2 ppm, 1J (P, H)=131 Hz, 1J (P, Si)=130 Hz). These 1J (P, H) coupling constants are much smaller compared to those of secondary phosphanes (R2PH) and phosphaalkenes with a PH group, which indicates that the phosphasilene phosphorus atom possesses more 3p character. X-ray crystallography of this "half"-parent phosphasilene species shows that the silicon atom occupies a trigonal-planar coordination environment.
According to the Blue Book, this chemical can be systematically named as 1,2,3,4,5,6-hexamethylbenzene. The locants (the numbers in front of the name) are superfluous, however, as the name hexamethylbenzene uniquely identifies a single substance and thus is the formal IUPAC name for the compound. It is an aromatic compound, with six π electrons (satisfying Hückel's rule) delocalised over a cyclic planar system; each of the six ring carbon atoms is sp2 hybridised and displays trigonal planar geometry, while each methyl carbon is tetrahedral with sp3 hybridisation, consistent with the empirical description of its structure. When recrystallised from ethanol, solid hexamethylbenzene occurs as colourless to white crystalline orthorhombic prisms or needles with a melting point of 165–166 °C, a boiling point of 268 °C, and a density of 1.0630 g cm−3.
Platinum Carbonyl Cluster Moteiff AKA Chini Cluster Chini clusters are based on a planar triangular building block that can be condensed as multiple units forming chains usually anywhere from two to ten units long. The chains are formed by stacking of the planar units, extending through platinum to platinum bonds forming trigonal prismatic clusters. Within a triangular unit, the platinum-platinum bond lengths are 2.65 Å and between units the Pt---Pt bond lengths are 3.05 Å. Cluster structure is easily disrupted by deposition onto surfaces such as carbon or silicon, where the chains are broken, but the triangular subunits remain intact.Calabrese, J. C.; Dahl, L. F.; Chini, P.; Longoni, G.; Martinengo, S. J. Am. Chem. Soc., 1974, 96 (8), pp 2614–2616 The tetramer [Pt3(CO)6]42− is the most common member of this series of clusters.
The carbocation intermediate is formed in the reaction's rate determining step is an sp2 hybridized carbon with trigonal planar molecular geometry. This allows two different ways for the nucleophilic attack, one on either side of the planar molecule. If neither way is preferentially favored, these two ways occur equally, yielding a racemic mixture of enantiomers if the reaction takes place at a stereocenter.Sorrell, Thomas N. "Organic Chemistry, 2nd Edition" University Science Books, 2006 This is illustrated below in the SN1 reaction of S-3-chloro-3-methylhexane with an iodide ion, which yields a racemic mixture of 3-iodo-3-methylhexane: A typical SN1 reaction, showing how racemisation occurs However, an excess of one stereoisomer can be observed, as the leaving group can remain in proximity to the carbocation intermediate for a short time and block nucleophilic attack.
It is an unstable compound in air and outright decomposes in water or at 190 °C. Half-sandwich compounds are also known, such as 2(η8-C8H8)ThCl2(THF)2, which has a piano-stool structure and is made by reacting thorocene with thorium tetrachloride in tetrahydrofuran. The simplest of the cyclopentadienyls are and : many derivatives are known. The first (which has two forms, one purple and one green) is a rare example of thorium in the formal +3 oxidation state. In the derivative [ThIII{η5-C5H3(SiMe3)2}3], a blue paramagnetic compound, the molecular geometry is trigonal planar around the thorium atom, which has a [Rn]6d1 configuration instead of the expected [Rn]5f1. [ThIII{η5-C5H3(SiMe3)2}3] can be reduced to the anion [ThII{η5-C5H3(SiMe3)2}3]−, in which thorium exhibits a rare +2 oxidation state.
Cervandonite- (Ce) has a monoclinic cell with Z=6. The monoclinic structure was refined as a trigonal subcell using 411 reflections with I > 2σ (I), R1=0.320, wR2=0.0887. The R- centered cell can be transformed with, a 6.508 (1), c 18.520 (3) Ǻ, V 679.4(2) Ǻ3, and Z=3. The structure has a space group of R3m, the solution of the cervandonite structure instantly revealed the presence of one eight-coordinated structure, REE-containing M(1) lying on the threefold axis and M(2) which includes Fe, Ti, or Al. The color of the mineral is a black, with transmitted light it will reflect a yellowish, reddish brown to black color. The mineral is brittle, porous, rosettelike aggregate, with adamantine luster, poorest at {001} cleavage, conchoidal fracture with a brownish-black streak,Jambour, J., and Grew, E. (1990) New mineral names.
Trigonal bipyramidal molecular shape ax = axial ligand (on unique axis) eq = equatorial ligand (in plane perpendicular to unique axis) The five atoms bonded to the central atom are not all equivalent, and two different types of position are defined. For phosphorus pentachloride as an example, the phosphorus atom shares a plane with three chlorine atoms at 120° angles to each other in equatorial positions, and two more chlorine atoms above and below the plane (axial or apical positions). According to the VSEPR theory of molecular geometry, an axial position is more crowded because an axial atom has three neighboring equatorial atoms (on the same central atom) at a 90° bond angle, whereas an equatorial atom has only two neighboring axial atoms at a 90° bond angle. For molecules with five identical ligands, the axial bond lengths tend to be longer because the ligand atom cannot approach the central atom as closely.
The formula indicates the presence of aluminium metal centres in the +3 oxidation state and acetate groups in a ratio of 1:3. Images used to represent this substance, such as those shown at left, represent two highly oversimplified approximations of the solid-state structure: the first is as a purely ionic salt with a single aluminium(III) cation (Al3+) surrounded by and associated electrostatically with three acetate anions (), but this should not be taken to convey information about the crystal structure. For example, sodium chloride (NaCl) has a cation-to-anion stoichiometry of 1:1, but it has a cubic structure with each ion surrounded octahedrally by six ions of the opposite charge. The other image is a molecular form with the three acetate groups covalently bonded to the metal centre in a trigonal planar geometry and intermolecular interactions holding the molecules together with each other in the crystal structure.
In its chemistry SeO3 generally resembles sulfur trioxide, SO3, rather than tellurium trioxide, TeO3. At 120 °C SeO3 reacts with selenium dioxide to form the Se(VI)-Se(IV) compound diselenium pentoxide:Z. Žák "Crystal structure of diselenium pentoxide Se2O5" Zeitschrift für anorganische und allgemeine Chemie 1980, volume 460, pp. 81–85. :SeO3 \+ SeO2 → Se2O5 It reacts with selenium tetrafluoride to form selenoyl fluoride, the selenium analogue of sulfuryl fluoride :2SeO3 \+ SeF4 → 2SeO2F2 \+ SeO2 As with SO3 adducts are formed with Lewis bases such as pyridine, dioxane and ether. With lithium oxide and sodium oxide it reacts to form salts of SeVIO54− and SeVIO66−:Handbook of Chalcogen Chemistry: New Perspectives in Sulfur, Selenium and Tellurium, Franceso A. Devillanova, Royal Society of Chemistry, 2007, With Li2O, it gives Li4SeO5, containing the trigonal pyramidal anion SeVIO54− with equatorial bonds, 170.6–171.9 pm; and longer axial Se−O bonds of 179.5 pm.
Pure solid N2O5 is a salt, consisting of separated linear nitronium ions NO2+ and planar trigonal nitrate anions NO3−. Both nitrogen centers have oxidation state +5. It crystallizes in the space group D46h (C6/mmc) with Z = 2, with the anions in the D3h sites and the cations in D3d sites. The vapor pressure P (in torr) as a function of temperature T (in kelvin), in the range 211 to 305 K, is well approximated by the formula : \ln P = 23.2348 - 7098.2/T being about 48 torr at 0 °C, 424 torr at 25 °C, and 760 torr at 32 °C (9 degrees below the melting point).A. H. McDaniel, J. A. Davidson, C. A. Cantrell, R. E. Shetter, and J. G. Calvert (1988): "Enthalpies of formation of dinitrogen pentoxide and the nitrate free radical". Journal of Physical Chemistry, volume 92, issue 14, pages 4172-4175.
AgCl dissolves in solutions containing ligands such as chloride, cyanide, triphenylphosphine, thiosulfate, thiocyanate and ammonia. Silver chloride reacts with these ligands according to the following illustrative equations: :AgCl (s) + Cl^- (aq) -> AgCl2^- (aq) :AgCl (s) + 2 S2O3^2- (aq) ->(Ag(S2O3)2)^3- (aq) + Cl^- (aq) :AgCl (s) + 2 NH3(aq) -> Ag(NH3)2+ (aq) + Cl^- (aq) Silver chloride does not react with nitric acid. Most complexes derived from AgCl are two-, three-, and, in rare cases, four-coordinate, adopting linear, trigonal planar, and tetrahedral coordination geometries, respectively. :3AgCl(s) + Na3AsO3(aq) -> Ag3AsO3(s) + 3NaCl(aq) :3AgCl(s) +Na3AsO4(aq) -> Ag3AsO4(s) + 3NaCl(aq) Above 2 reactions are particularly important in qualitative analysis of AgCl in labs as AgCl is white in colour , which changes to Ag3AsO3 (silver arsenite) which is yellow in colour or Ag3AsO4(Silver arsenate) which is reddish brown in colour.
Being a class-A acceptor does not preclude the formation of complexes with sulfur donors, as is shown by zinc dithiophosphate and the zinc finger complex (below). The zinc acetylacetonate complex, Zn(acac)2 is interesting. As the ligand is bidentate a tetrahedral structure might be expected. However, the compound is in fact a trimer, Zn3(acac)6 in which each Zn ion is coordinated by five oxygen atoms in a distorted trigonal bipyramidal structure. Other 5-coordinate structures can be engineered by choosing ligands which have specific stereochemical requirements. For example, terpyridine, which is a tridentate ligand forms the complex [Zn(terpy)Cl2]. Another example would involve a tripodal ligand such as Tris(2-aminoethyl)amine. Square pyramidal 5-coordinate Zinc is found in Tetra(4-pyridyl)porphinatomonopyridinezinc(II) Collins, D. M. ; Hoard, J. L. (1970). The Crystal Structure and Molecular Stereochemistry of Tetra(4-pyridyl)porphinatomonopyridinezinc(II).
With temperature, the gradually reached transitions between the minima via the different kind of saddle-points explains the origin of all the four phases (three ferroelectric and one paraelectric) in perovskites of the type BaTiO3 and their properties. The predicted by the theory trigonal displacement of the Ti ion in all four phases, the fully disordered PJTE distortions in the paraelectric phase, and their partially disordered state in two other phases was confirmed by a variety of experimental investigations (see in ). Multiferroicity and magnetic-ferroelectric crossover. The PJTE theory of ferroelectricity in ABO3 crystals was expanded to show that, depending on the number of electrons in the dn shell of the transition metal ion B4+ and their low spin or high spin arrangement (which controls the symmetry and spin multiplicity of the ground and PJTE active excited states of the [BO6] center), the ferroelectricity may coexist with a magnetic moment (multiferroicity).
The VSEPR theory also predicts that substitution of a ligand at a central atom by a lone pair of valence electrons leaves the general form of the electron arrangement unchanged with the lone pair now occupying one position. For molecules with five pairs of valence electrons including both bonding pairs and lone pairs, the electron pairs are still arranged in a trigonal bipyramid but one or more equatorial positions is not attached to a ligand atom so that the molecular geometry (for the nuclei only) is different. The seesaw molecular geometry is found in sulfur tetrafluoride (SF4) with a central sulfur atom surrounded by four fluorine atoms occupying two axial and two equatorial positions, as well as one equatorial lone pair, corresponding to an AX4E molecule in the AXE notation. A T-shaped molecular geometry is found in chlorine trifluoride (ClF3), an AX3E2 molecule with fluorine atoms in two axial and one equatorial position, as well as two equatorial lone pairs.
With the molecular geometry for a carbanion described as a trigonal pyramid the question is whether or not carbanions can display chirality, because if the activation barrier for inversion of this geometry is too low any attempt at introducing chirality will end in racemization, similar to the nitrogen inversion. However, solid evidence exists that carbanions can indeed be chiral for example in research carried out with certain organolithium compounds. The first ever evidence for the existence of chiral organolithium compounds was obtained in 1950. Reaction of chiral 2-iodooctane with sec-butyllithium in petroleum ether at −70 °C followed by reaction with dry ice yielded mostly racemic 2-methylbutyric acid but also an amount of optically active 2-methyloctanoic acid which could only have formed from likewise optical active 2-methylheptyllithium with the carbon atom linked to lithium the carbanion: optically active organolithium On heating the reaction to 0 °C the optical activity is lost.
PH3 is a trigonal pyramidal molecule with C3v molecular symmetry. The length of the P−H bond is 1.42 Å, the H−P−H bond angles are 93.5°. The dipole moment is 0.58 D, which increases with substitution of methyl groups in the series: CH3PH2, 1.10 D; (CH3)2PH, 1.23 D; (CH3)3P, 1.19 D. In contrast, the dipole moments of amines decrease with substitution, starting with ammonia, which has a dipole moment of 1.47 D. The low dipole moment and almost orthogonal bond angles lead to the conclusion that in PH3 the P−H bonds are almost entirely and phosphorus 3s orbital contributes little to the bonding between phosphorus and hydrogen in this molecule. For this reason, the lone pair on phosphorus may be regarded as predominantly formed by the 3s orbital of phosphorus. The upfield chemical shift of the phosphorus atom in the 31P NMR spectrum accords with the conclusion that the lone pair electrons occupy the 3s orbital (Fluck, 1973).
The nitrogens on the imidazole side chains of His88, His109, and His118 coordinate with the first catalytic copper while the nitrogens on the imidazole side chains on His240, His244 and His274 coordinate with the second catalytic copper ion. In the oxidized Cu(II)-Cu(II) state, each copper ion possesses a four coordinate trigonal pyramidal geometry, with the three histidine residues and a bridging hydroxide molecule forming the four ligands on each copper ion. Comparing the reduced (Cu(I)-Cu(I)) state with the native (Cu(II)-Cu(II)) state of the enzyme, the key difference is the distance between the two copper centers. In the oxidized Cu(II)-Cu(II) state, the Cu-Cu distance is 3.3 Å while in the reduced Cu(I)-Cu(I) state, the distance increases to 4.4 Å. While the active site of both tyrosinase and catechol oxidase contain the di-copper center, variations in each enzyme’s respective structure result in differing activity.
Faceted red beryl, 0.56 ct, Utah US Red beryl is very rare and has been reported only from a handful of locations: Wah Wah Mountains, Beaver County, Utah; Paramount Canyon and Round Mountain, Sierra County, New Mexico, although the latter locality does not often produce gem grade stones; and Juab County, Utah. The greatest concentration of gem-grade red beryl comes from the Ruby-Violet Claim in the Wah Wah Mountains of mid-western Utah, discovered in 1958 by Lamar Hodges, of Fillmore, Utah, while he was prospecting for uranium. Red beryl has been known to be confused with pezzottaite, a caesium analog of beryl, that has been found in Madagascar and more recently Afghanistan; cut gems of the two varieties can be distinguished from their difference in refractive index, and rough crystals can be easily distinguished by differing crystal systems (pezzottaite trigonal, red beryl hexagonal). Synthetic red beryl is also produced.
Lone pair–lone pair (lp–lp) repulsions are considered stronger than lone pair–bonding pair (lp–bp) repulsions, which in turn are considered stronger than bonding pair–bonding pair (bp–bp) repulsions, distinctions that then guide decisions about overall geometry when 2 or more non-equivalent positions are possible. For instance, when 5 valence electron pairs surround a central atom, they adopt a trigonal bipyramidal molecular geometry with two collinear axial positions and three equatorial positions. An electron pair in an axial position has three close equatorial neighbors only 90° away and a fourth much farther at 180°, while an equatorial electron pair has only two adjacent pairs at 90° and two at 120°. The repulsion from the close neighbors at 90° is more important, so that the axial positions experience more repulsion than the equatorial positions; hence, when there are lone pairs, they tend to occupy equatorial positions as shown in the diagrams of the next section for steric number five.
The intensity of the trans effect (as measured by the increase in rate of substitution of the trans ligand) follows this sequence: :F−, H2O, OH− < NH3 < py < Cl− < Br− < I−, SCN−, NO2−, SC(NH2)2, Ph− < SO32− < PR3, AsR3, SR2, CH3− < H−, NO, CO, CN−, C2H4 The classic example of the trans effect is the synthesis of cisplatin and its trans isomer. Starting from PtCl42−, the first NH3 ligand is added to any of the four equivalent positions at random. However, since Cl− has a greater trans effect than NH3, the second NH3 is added trans to a Cl− and therefore cis to the first NH3. :Synthesis of cisplatin using the trans effect If, on the other hand, one starts from Pt(NH3)42+, the trans product is obtained instead: :Synthesis of transplatin using the trans effect The trans effect in square complexes can be explained in terms of an addition/elimination mechanism that goes through a trigonal bipyramidal intermediate.
Focusing on the arsenic center, the molecule geometry is trigonal pyramidal with the Cl-As-Cl and C-As-Cl angles approaching 90° (see image). Virtually all related arsenic(III) compounds adopt similar structures. Methyldichloroarsine is produced by the reaction of methylmagnesium chloride and arsenic trichloride: :AsCl3 \+ CH3MgCl → CH3AsCl2 \+ MgCl2 Typically such syntheses are conducted in ether or THF solutions and typically the product is isolated by distillation. Use of larger amounts of the magnesium reagent affords greater amounts of dimethylchloroarsine ((CH3)2AsCl) and trimethylarsine ((CH3)3As). In World War I, the German manufacturing method consisted of a three-step reaction beginning with methylation of sodium arsenite: :2 Na3AsO3 \+ (CH3O)2SO2 → 2 CH3AsO(ONa)2 \+ Na2SO4, followed by reduction of the disodium monomethylarsonate with sulfur dioxide: :CH3AsO(ONa)2 \+ SO2 → CH3AsO + Na2SO4, subsequently reacting the monomethylarsine oxide thus formed with hydrogen chloride to yield methyldichloroarsine: :CH3AsO + 2 HCl → CH3AsCl2 \+ H2O The As-Cl bonds in MD are susceptible toward nucleophilic attack.
NiAs structure of basic pyrrhotite-1C Pyrrhotite exist as a number of polytypes of hexagonal or monoclinic crystal symmetry; several polytypes often occur within the same specimen. Their structure is based on the NiAs unit cell. As such, Fe occupies an octahedral site and the sulfide centers occupy trigonal prismatic sites.Shriver, D. F.; Atkins, P. W.; Overton, T. L.; Rourke, J. P.; Weller, M. T.; Armstrong, F. A. "Inorganic Chemistry" W. H. Freeman, New York, 2006. . Materials with the NiAs structure often are non-stoichiometric because they lack up to 1/8th fraction of the metal ions, creating vacancies. One of such structures is pyrrhotite-4C (Fe7S8). Here "4" indicates that iron vacancies define a superlattice that is 4 times larger than the unit cell in the "C" direction. The C direction is conventionally chosen parallel to the main symmetry axis of the crystal; this direction usually corresponds to the largest lattice spacing. Other polytypes include: pyrrhotite-5C (Fe9S10), 6C (Fe11S12), 7C (Fe9S10) and 11C (Fe10S11).
She also starred in feature films such as Barbi: D' Wonder Beki (2017) and The Trigonal: Fight for Justice (2018)which premiered at the Cannes Film Market. Chang took the leading role in the psycho-horror Circle of Bones (2020). In addition to her feature film roles, she also acted in leading roles in award-winning short films such as the big-budget Wanda Films/DJI Studios collaboration The Teacher (2018) and the novel-turned-film We Are War (2018). After training at the Jackie Chan Stunt Team Training Center in Tianjin, China, Chang also founded a stunt wire rigging team in Manila called the SACHANG Action Design Team, providing wire rigging stunts for major blockbusters in the Philippines such as Gandarrapido: The Revengers Squad (2017), where she was also the stunt double for Pia Wurtzbach, Last Night (2017), Barbi: D' Wonder Beki (2017), A Hard Day (2018) and Sanggano, Sanggago't Sanggwapo (2018).
Electron movements are represented by curly arrows. The cleavage reaction is a phosphodiester isomerization reaction that is initiated by abstraction of the cleavage-site ribose 2’-hydroxyl proton from the 2’-oxygen, which then becomes the attacking nucleophile in an “in-line” or SN2(P)-like reaction, although it is not known whether this proton is removed prior to or during the chemical step of the hammerhead cleavage reaction. (The cleavage reaction is technically not bimolecular, but behaves in the same way a genuine SN2(P) reaction does; it undergoes inversion of configuration subsequent to forming an associative transition-state consisting of a pentacoordinated oxyphosphrane.) The attacking and leaving group oxygens will both occupy the two axial positions in the trigonal bipyramidal transition-state structure as is required for an SN2-like reaction mechanism. The 5’-product, as a result of this cleavage reaction mechanism, possesses a 2’,3’-cyclic phosphate terminus, and the 3’-product possesses a 5’-OH terminus, as with nonenzymatic alkaline cleavage of RNA.
Triisopropylamine is notable as being among the most sterically hindered amines currently known. The even more crowded tri-tert-butylamine (tBu3N) has never been synthesized, although ab initio quantum chemical computations as well as the existence of the even more crowded 2,2,4,4-tetramethyl-3-t-butyl-pentane-3-ol (tri-tert-butylcarbinol, tBu3COH) implies that it should be a stable molecule if it could be prepared. To date, di-tert-butyl(isopropyl)amine (tBu2iPrN) has been prepared in low yield, as have a handful of tri-tert-alkylamines in which two of the tert- alkyl groups are tied together in a ring, but the authors of a 2018 study predict that tBu3N will likely remain a longstanding unsolved synthetic challenge. In the early 1990s, theoretical studies and electron diffraction analysis of the 3D structure of the molecule, in the gas phase or in non-polar solvents, indicated that the bonds between the nitrogen atom and the three carbon atoms were nearly coplanar in the ground state, instead of forming a trigonal pyramid as in simpler amines.
In the gas phase, SbF5 adopts a trigonal bipyramidal structure of D3h point group symmetry (see picture). The material adopts a more complicated structure in the liquid and solid states. The liquid contains polymers wherein each Sb is octahedral, the structure being described with the formula [SbF4(μ-F)2]n ((μ-F) denotes the fact that fluoride centres bridge two Sb centres). The crystalline material is a tetramer, meaning that it has the formula [SbF4(μ-F)]4. The Sb-F bonds are 2.02 Å within the eight- membered Sb4F4 ring; the remaining fluoride ligands radiating from the four Sb centers are shorter at 1.82 Å.Edwards, A. J.; Taylor, P. "Crystal structure of Antimony Pentafluoride" Journal of the Chemical Society, Chemical Communications 1971, pp. 1376-7. The related species PF5 and AsF5 are monomeric in the solid and liquid states, probably due to the smaller sizes of the central atom, which limits their coordination number. BiF5 is a polymer.Holleman, A. F.; Wiberg, E. "Inorganic Chemistry" Academic Press: San Diego, 2001. .
Delthyrium wide, trapezoidal; lateral cavities narrow; dental plates long, beyond hinge zone, slightly divergent toward ventral floor at posterior parts and becoming parallel anteriorly; teeth short, very strong and massive, with expanded ends and crenulations; accessory denticulars and dental cavities present. No septalium or septalial plates in dorsal valve; septum short, reduced anteriorly to form low ridge, running about 1/3 of valve length; hinge plates thick and narrow, tapering toward each other at posterior parts and becoming horizontal anteriorly; inner socket ridges lower but well demarcated from hinge plates; hinge plates tapering forward; crural bases narrow, but well formed, given off dorsally from inner margins of hinge plates; crura calcarifer, about 1/3 of dorsal valve length, posterior parts trigonal-shaped in sections and curved slightly ventrally at anterior parts, but not as distinctive as those in Rhynchonelloidella. The anatomical terms used in this description as defined by Williams and Brunton, 1997Williams, A., Brunton, C.H.C., and MacKinnon, D.I. 1997. Morphology. pp. 321-422. In: R. Kaesler (ed.): Treatise on Invertebrate Paleontology.
Once coordinated, the ligand-metal complex assumes a distorted, trigonal bi-pyramidal geometry that stabilizes the cuprous (Cu(I)) reduced state of the protein relative to the cupric (Cu(II)) oxidized state. Structurally imposed backbonding between the copper d orbitals and its ligand p orbitals may further stabilize the cuprous state. Existing structural information about azurin has largely been derived from X-ray crystallography studies of single-site mutated forms of the protein. Notable structural features elucidated by crystallography include the beta-sandwich motif formed from eight interlocking beta strands, as well as an alpha-helical segment outside the barrel linking beta-sheets 4 and 5. Although the Cu(I)/Cu(II) redox potential is typically higher for azurin than most other copper complexes, structural studies in which Met121 (one of azurin’s equatorial copper-coordinating ligands) is replaced have demonstrated that the absence of a thiolate copper ligand does not preclude high reduction potentials, as large hydrophobic residues in position 121 also raise the redox potential of the copper atom.
In this type of material, oxygen intercalation occurs into vacancies and is correlated with a change of the oxidation state of the manganese (redox reaction). Another materials suitable for PSA operation are brownmillerite-type materials such as La0.6Sr0.4Co0.2Fe0.8O3-d, La0.5Sr0.5Co0.5Fe0.5O3-d, commonly used as cathode materials for SOFC exhibit some good oxygen storage properties such as high capacity and low oxidation temperature. However, cobalt-reach materials may suffer from instability in reducing conditions and higher temperatures such as 550 °C. Recently developed materials suitable for TSA applications are hexagonal LnMnO3+d (Ln: Lanthanides and Y) materials. Oxygen stoichiometric phases (δ = 0), denoted as Hex0, crystallize in the hexagonal P63cm symmetry which can be described as a layered structure in which layers of R3+ cations in eight-fold coordination are separated by layers of corner-sharing trigonal Mn3+O5 bipyramids. A very important property, from the viewpoint of TSA, is the possibility of the introduction of a significant amount of interstitial oxygen into the structure near the Mn site, which increases the Mn valence to above +3.
In an acidic aqueous solution, thorium occurs as the tetrapositive aqua ion [Th(H2O)9]4+, which has tricapped trigonal prismatic molecular geometry: at pH < 3, the solutions of thorium salts are dominated by this cation. The Th4+ ion is the largest of the tetrapositive actinide ions, and depending on the coordination number can have a radius between 0.95 and 1.14 Å. It is quite acidic due to its high charge, slightly stronger than sulfurous acid: thus it tends to undergo hydrolysis and polymerisation (though to a lesser extent than Fe3+), predominantly to [Th2(OH)2]6+ in solutions with pH 3 or below, but in more alkaline solution polymerisation continues until the gelatinous hydroxide Th(OH)4 forms and precipitates out (though equilibrium may take weeks to be reached, because the polymerisation usually slows down before the precipitation). As a hard Lewis acid, Th4+ favours hard ligands with oxygen atoms as donors: complexes with sulfur atoms as donors are less stable and are more prone to hydrolysis. High coordination numbers are the rule for thorium due to its large size.
In mathematics, a superelliptic curve is an algebraic curve defined by an equation of the form :y^m = f(x), where m \geq 2 is an integer and f is a polynomial of degree d\geq 3 with coefficients in a field k; more precisely, it is the smooth projective curve whose function field defined by this equation. The case m=2 and d=3 is an elliptic curve, the case m=2 and d\ge 5 is a hyperelliptic curve, and the case m=3 and d\geq is an example of a trigonal curve. Some authors impose additional restrictions, for example, that the integer m should not be divisible by the characteristic of k, that the polynomial f should be square free, that the integers m and d should be coprime, or some combination of these. The Diophantine problem of finding integer points on a superelliptic curve can be solved by a method similar to one used for the resolution of hyperelliptic equations: a Siegel identity is used to reduce to a Thue equation.
This reagent was originally prepared by Conrad Willgerodt by reacting iodobenzene with a mixture of acetic acid and peracetic acid: :CHI \+ CHCOH \+ CHCOH → CHI(OCCH) \+ HO PIDA can also be prepared from iodosobenzene and glacial acetic acid: :CHIO \+ 2 CHCOH → CHI(OCCH) \+ HO More recent preparations direct from iodine, acetic acid, and benzene have been reported, using either sodium perborate or potassium peroxydisulfate as the oxidizing agent: :CH \+ I \+ 2 CHCOH \+ KSO → CHI(OCCH) \+ KI \+ HSO \+ KHSO The PIDA molecule is termed hypervalent as its iodine atom (technically a hypervalent iodine) is in its +III oxidation state and has more than typical number of covalent bonds. It adopts a T-shaped molecular geometry, with the phenyl group occupying one of the three equatorial positions of a trigonal bipyramid (lone pairs occupy the other two) and the axial positions occupied by oxygen atoms from the acetate groups. The "T" is distorted in that the phenyl-C to I to acetate-O bond angles are less than 90°. A separate investigation of the crystal structure confirmed that it has orthorhombic crystals in space group Pnn2 and reported unit-cell dimensions in good agreement with the original paper.
Eudialyte group is a group of complex trigonal zircono- and, more rarely, titanosilicate minerals with general formula [N(1)N(2)N(3)N(4)N(5)]3[M(1a)M(1b)]3M(2)3M(4)Z3[Si24O72]O'4X2, where N(1) and N(2) and N(3) and N(5) = Na+ and more rarely H3O+ or H2O, N(4) = Na+, Sr2+, Mn2+ and more rarely H3O+ or H2O or K+ or Ca2+ or REE3+ (rare earth elements), M(1) and M(1b) = Ca2+, M(1a) = Ca2+ or Mn2+ or Fe2+, M(2) = Fe (both II and III), Mn and rarely Na+, K+ or Zr4+, M(3) = Si, Nb and rarely W, Ti and [] (vacancy), M(4) = Si and or rarely [], Z Zr4+ and or rarely Ti4+, and X = OH−, Cl− and more rarely CO32− or F−. Some of the eudialyte-like structures can even be more complex, however, in general, its typical feature is the presence of [Si3O9]6− and [Si9O27]18− ring silicate groups. Space group is usually R3m or R-3m but may be reduced to R3 due to cation ordering. Like other zirconosilicates, the eudialyte group minerals possess alkaline ion-exchange properties, as microporous materials.

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