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32-627: (Redirected from D-0 ) D0 may refer to: d, the d electron count of a transition metal complex D meson D0 experiment , at the Tevatron collider at Fermilab, in Batavia, Illinois, US D0 motorway (Czech Republic) , the partially complete outer ring road of Prague Dangling bond , in chemistry DHL Air Limited (IATA code) See also [ edit ] 0D (disambiguation) DO (disambiguation) [REDACTED] Topics referred to by

64-399: A pentagonal pyramidal shape. Pairs of octahedra can be fused in a way that preserves the octahedral coordination geometry by replacing terminal ligands with bridging ligands . Two motifs for fusing octahedra are common: edge-sharing and face-sharing. Edge- and face-shared bioctahedra have the formulas [M 2 L 8 (μ-L)] 2 and M 2 L 6 (μ-L) 3 , respectively. Polymeric versions of

96-455: A lone pair that distorts the symmetry of the molecule from O h to C 3v . The specific geometry is known as a monocapped octahedron , since it is derived from the octahedron by placing the lone pair over the centre of one triangular face of the octahedron as a "cap" (and shifting the positions of the other six atoms to accommodate it). These both represent a divergence from the geometry predicted by VSEPR, which for AX 6 E 1 predicts

128-492: A single enantiomeric pair. To generate two diastereomers in an organic compound, at least two carbon centers are required. The term can also refer to octahedral influenced by the Jahn–Teller effect , which is a common phenomenon encountered in coordination chemistry . This reduces the symmetry of the molecule from O h to D 4h and is known as a tetragonal distortion. Some molecules, such as XeF 6 or IF 6 , have

160-466: A tetrahedral complex with four different ligands). The following table lists all possible combinations for monodentate ligands: Thus, all 15 diastereomers of ML L L L L L are chiral, whereas for ML 2 L L L L , six diastereomers are chiral and three are not (the ones where L are trans ). One can see that octahedral coordination allows much greater complexity than the tetrahedron that dominates organic chemistry . The tetrahedron ML L L L exists as

192-459: Is a formalism. Often it is difficult or impossible to assign electrons and charge to the metal center or a ligand. For a high-oxidation-state metal center with a +4 charge or greater it is understood that the true charge separation is much smaller. But referring to the formal oxidation state and d electron count can still be useful when trying to understand the chemistry. There are many examples of every possible d electron configuration. What follows

224-457: Is a short description of common geometries and characteristics of each possible d electron count and representative examples. Octahedral molecular geometry In chemistry , octahedral molecular geometry , also called square bipyramidal , describes the shape of compounds with six atoms or groups of atoms or ligands symmetrically arranged around a central atom, defining the vertices of an octahedron . The octahedron has eight faces, hence

256-477: Is an example. Compounds with face-sharing octahedral chains include MoBr 3 , RuBr 3 , and TlBr 3 . For compounds with the formula MX 6 , the chief alternative to octahedral geometry is a trigonal prismatic geometry, which has symmetry D 3h . In this geometry, the six ligands are also equivalent. There are also distorted trigonal prisms, with C 3v symmetry; a prominent example is W(CH 3 ) 6 . The interconversion of Δ - and Λ -complexes, which

288-503: Is different from Wikidata All article disambiguation pages All disambiguation pages D electron count For free atoms, electron configurations have been determined by atomic spectroscopy . Lists of atomic energy levels and their electron configurations have been published by the National Institute of Standards and Technology (NIST) for both neutral and ionized atoms. For neutral atoms of all elements,

320-462: Is not consistent: tungsten , a group VI element like Cr and Mo has a Madelung-following [Xe]6s 4f 5d , and niobium has a [Kr]5s 4d as opposed to the Madelung rule predicted [Kr]5s 4d which creates two partially-filled subshells. When a transition metal atom loses one or more electrons to form a positive ion, overall electron repulsion is reduced and the n d orbital energy is lowered more than

352-437: Is that half-filled or completely filled subshells are particularly stable arrangements of electrons. An example is chromium whose electron configuration is [Ar]4s 3d with a d electron count of 5 for a half-filled d subshell, although Madelung's rule predicts [Ar]4s 3d . Similarly copper is [Ar]4s 3d with a full d subshell, and not [Ar]4s 3d . The configuration of palladium is [Kr]4d with zero 5s electrons. However this trend

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384-425: Is the azimuthal quantum number . This rule predicts for example that the 4s orbital ( n = 4, l = 0, n + l = 4) is filled before the 3d orbital ( n = 3, l = 2, n + l = 5), as in titanium with configuration [Ar]4s 3d . There are a few exceptions with only one electron (or zero for palladium ) in the n s orbital in favor of completing a half or a whole d shell. The usual explanation in chemistry textbooks

416-455: Is the basis of crystal field theory and the more comprehensive ligand field theory . The loss of degeneracy upon the formation of an octahedral complex from a free ion is called crystal field splitting or ligand field splitting . The energy gap is labeled Δ o , which varies according to the number and nature of the ligands. If the symmetry of the complex is lower than octahedral, the e g and t 2g levels can split further. For example,

448-402: Is unfilled and usually well above the lowest unoccupied molecular orbital (LUMO). Since the orbitals resulting from the n s orbital are either buried in bonding or elevated well above the valence, the n s orbitals are not relevant to describing the valence. Depending on the geometry of the final complex, either all three of the n p orbitals or portions of them are involved in bonding, similar to

480-456: Is usually slow, is proposed to proceed via a trigonal prismatic intermediate, a process called the " Bailar twist ". An alternative pathway for the racemization of these same complexes is the Ray–Dutt twist . For a free ion, e.g. gaseous Ni or Mo , the energy of the d-orbitals are equal in energy; that is, they are "degenerate". In an octahedral complex, this degeneracy is lifted. The energy of

512-525: The ground-state electron configurations are listed in general chemistry and inorganic chemistry textbooks. The ground-state configurations are often explained using two principles: the Aufbau principle that subshells are filled in order of increasing energy, and the Madelung rule that this order corresponds to the order of increasing values of ( n + l ) where n is the principal quantum number and l

544-423: The n s orbitals. The n p orbitals if any that remain non-bonding still exceed the valence of the complex. That leaves the ( n  − 1)d orbitals to be involved in some portion of the bonding and in the process also describes the metal complex's valence electrons. The final description of the valence is highly dependent on the complex's geometry, in turn highly dependent on the d electron count and character of

576-473: The prefix octa . The octahedron is one of the Platonic solids , although octahedral molecules typically have an atom in their centre and no bonds between the ligand atoms. A perfect octahedron belongs to the point group O h . Examples of octahedral compounds are sulfur hexafluoride SF 6 and molybdenum hexacarbonyl Mo(CO) 6 . The term "octahedral" is used somewhat loosely by chemists, focusing on

608-555: The ( n +1) s orbital energy. The ion is formed by removal of the outer s electrons and tends to have a d configuration, even though the s subshell is added to neutral atoms before the d subshell. For example, the Ti ion has the ground-state configuration [Ar]3d with a d electron count of 2, even though the total number of electrons is the same as the neutral calcium atom which is [Ar]4s . In coordination complexes between an electropositive transition metal atom and an electronegative ligand,

640-407: The L ligands are mutually adjacent, and trans , if the L groups are situated 180° to each other. It was the analysis of such complexes that led Alfred Werner to the 1913 Nobel Prize–winning postulation of octahedral complexes. For ML 3 L 3 , two isomers are possible - a facial isomer ( fac ) in which each set of three identical ligands occupies one face of the octahedron surrounding

672-477: The associated ligands. For example, in the MO diagram provided for the [Ti(H 2 O) 6 ] the n s orbital – which is placed above ( n  − 1)d in the representation of atomic orbitals (AOs) – is used in a linear combination with the ligand orbitals, forming a very stable bonding orbital with significant ligand character as well as an unoccupied high energy antibonding orbital which is not shown. In this situation

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704-478: The complex geometry is octahedral , which means two of the d orbitals have the proper geometry to be involved in bonding. The other three d orbitals in the basic model do not have significant interactions with the ligands and remain as three degenerate non-bonding orbitals. The two orbitals that are involved in bonding form a linear combination with two ligand orbitals with the proper symmetry. This results in two filled bonding orbitals and two orbitals which are usually

736-418: The d z and d x − y , the so-called e g set, which are aimed directly at the ligands are destabilized. On the other hand, the energy of the d xz , d xy , and d yz orbitals, the so-called t 2g set, are stabilized. The labels t 2g and e g refer to irreducible representations , which describe the symmetry properties of these orbitals. The energy gap separating these two sets

768-520: The geometry of the bonds to the central atom and not considering differences among the ligands themselves. For example, [Co(NH 3 ) 6 ] , which is not octahedral in the mathematical sense due to the orientation of the N−H bonds, is referred to as octahedral. The concept of octahedral coordination geometry was developed by Alfred Werner to explain the stoichiometries and isomerism in coordination compounds . His insight allowed chemists to rationalize

800-461: The lowest unoccupied molecular orbitals (LUMO) or the highest partially filled molecular orbitals – a variation on the highest occupied molecular orbitals (HOMO). Crystal field theory is an alternative description of electronic configurations that is simplified relative to LFT. It rationalizes a number of phenomena, but does not describe bonding nor offer an explanation for why n s electrons are ionized before ( n  − 1)d electrons. Each of

832-598: The metal atom, so that any two of these three ligands are mutually cis, and a meridional isomer ( mer ) in which each set of three identical ligands occupies a plane passing through the metal atom. Complexes with three bidentate ligands or two cis bidentate ligands can exist as enantiomeric pairs. Examples are shown below. For ML 2 L 2 L 2 , a total of five geometric isomers and six stereoisomers are possible. The number of possible isomers can reach 30 for an octahedral complex with six different ligands (in contrast, only two stereoisomers are possible for

864-506: The number of isomers of coordination compounds. Octahedral transition-metal complexes containing amines and simple anions are often referred to as Werner-type complexes . When two or more types of ligands (L , L , ...) are coordinated to an octahedral metal centre (M), the complex can exist as isomers. The naming system for these isomers depends upon the number and arrangement of different ligands. For ML 4 L 2 , two isomers exist. These isomers of ML 4 L 2 are cis , if

896-459: The same linking pattern give the stoichiometries [ML 2 (μ-L) 2 ] ∞ and [M(μ-L) 3 ] ∞ , respectively. The sharing of an edge or a face of an octahedron gives a structure called bioctahedral. Many metal penta halide and penta alkoxide compounds exist in solution and the solid with bioctahedral structures. One example is niobium pentachloride . Metal tetrahalides often exist as polymers with edge-sharing octahedra. Zirconium tetrachloride

928-447: The same term This disambiguation page lists articles associated with the same title formed as a letter–number combination. If an internal link led you here, you may wish to change the link to point directly to the intended article. Retrieved from " https://en.wikipedia.org/w/index.php?title=D0&oldid=1222863344 " Category : Letter–number combination disambiguation pages Hidden categories: Short description

960-554: The t 2g and e g sets split further in trans -ML 4 L 2 . Ligand strength has the following order for these electron donors: So called "weak field ligands" give rise to small Δ o and absorb light at longer wavelengths . Given that a virtually uncountable variety of octahedral complexes exist, it is not surprising that a wide variety of reactions have been described. These reactions can be classified as follows: Many reactions of octahedral transition metal complexes occur in water. When an anionic ligand replaces

992-634: The ten possible d electron counts has an associated Tanabe–Sugano diagram describing gradations of possible ligand field environments a metal center could experience in an octahedral geometry. The Tanabe–Sugano diagram with a small amount of information accurately predicts absorptions in the UV and visible electromagnetic spectrum resulting from d to d orbital electron transitions. It is these d–d transitions, ligand to metal charge transfers (LMCT), or metal to ligand charge transfers (MLCT) that generally give metals complexes their vibrant colors. Counting d electrons

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1024-442: The transition metal is approximately in an ionic state as assumed in crystal field theory, so that the electron configuration and d electron count are those of the transition metal ion rather than the neutral atom. According to Ligand Field Theory, the n s orbital is involved in bonding to the ligands and forms a strongly bonding orbital which has predominantly ligand character and the correspondingly strong anti-bonding orbital which

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