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VSEPR theory
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===Transition metals (Kepert model)=== The lone pairs on [[transition metal]] atoms are usually stereochemically inactive, meaning that their presence does not change the molecular geometry. For example, the hexaaquo complexes M(H<sub>2</sub>O)<sub>6</sub> are all octahedral for M = V<sup>3+</sup>, Mn<sup>3+</sup>, Co<sup>3+</sup>, Ni<sup>2+</sup> and Zn<sup>2+</sup>, despite the fact that the electronic configurations of the central metal ion are d<sup>2</sup>, d<sup>4</sup>, d<sup>6</sup>, d<sup>8</sup> and d<sup>10</sup> respectively.<ref name=Housecroft/>{{rp|542}} The Kepert model ignores all lone pairs on transition metal atoms, so that the geometry around all such atoms corresponds to the VSEPR geometry for AX<sub>n</sub> with 0 lone pairs E.<ref>{{cite journal |last1=Anderson |first1=O. P. |title=Book reviews: Inorganic Stereochemistry (by David L. Kepert) |journal=Acta Crystallographica B |date=1983 |volume=39 |pages=527β528 |doi=10.1107/S0108768183002864 |url=https://journals.iucr.org/b/issues/1983/04/00/a22157/a22157.pdf |access-date=14 September 2020 |quote=based on a systematic quantitative application of the common ideas regarding electron-pair repulsion|doi-access=free }}</ref><ref name=Housecroft/>{{rp|542}} This is often written ML<sub>n</sub>, where M = metal and L = ligand. The Kepert model predicts the following geometries for coordination numbers of 2 through 9: {| class="wikitable" style="margin:1em auto;" |- ! Molecule <br>type ! Shape ! Geometry ! Examples |- ! ML<sub>2</sub> | [[Linear (chemistry)|Linear]] | [[File:Linear-3D-balls.png|100px]] | [[mercury(II) chloride|HgCl<sub>2</sub>]]<ref name=Jolly/> |- ! ML<sub>3</sub> | [[Trigonal planar]] | [[File:Trigonal-3D-balls.png|100px]] | |- ! ML<sub>4</sub> | [[Tetrahedral molecular geometry|Tetrahedral]] | [[File:Tetrahedral-3D-balls.png|100px]] | [[Tetrachloronickelate|{{chem|NiCl|4|2-}}]] |- ! rowspan="2"| ML<sub>5</sub> | [[Trigonal bipyramidal molecular geometry|Trigonal bipyramidal]] | [[File:Trigonal-bipyramidal-3D-balls.png|100px]] | [[Iron pentacarbonyl|{{chem|Fe(CO)|5}}]] |- | [[Square pyramidal molecular geometry|Square pyramidal]] | [[File:Square-pyramidal-3D-balls.png|100px]] | MnCl<sub>5</sub><sup>2β</sup> |- ! ML<sub>6</sub> | [[Octahedral molecular geometry|Octahedral]] | [[File:Octahedral-3D-balls.png|100px]] | [[tungsten hexachloride|WCl<sub>6</sub>]]<ref name=Housecroft/>{{rp|659}} |- ! rowspan="3"| ML<sub>7</sub> | [[Pentagonal bipyramidal molecular geometry|Pentagonal bipyramidal]]<ref name=Miessler/> | [[File:Pentagonal-bipyramidal-3D-balls.png|100px]] | {{chem|ZrF|7|3-}} |- | [[Capped octahedral molecular geometry|Capped octahedral]] | [[File:Face-capped octahedron.png|100px]] | {{chem|MoF|7|-}} |- | [[Capped trigonal prismatic molecular geometry|Capped trigonal prismatic]] | [[File:MonocappTrigPrism.CapRightps.png|100px]] | {{chem|TaF|7|2-}} |- ! rowspan="3"| ML<sub>8</sub> | [[Square antiprismatic molecular geometry|Square antiprismatic]]<ref name=Miessler/> | [[File:Square-antiprismatic-3D-balls.png|100px]] | {{chem|ReF|8|-}} |- | [[Dodecahedral molecular geometry|Dodecahedral]] | [[File:Snub disphenoid.png|100px]] | {{chem|Mo(CN)|8|4-}} |- | [[Bicapped trigonal prismatic molecular geometry|Bicapped trigonal prismatic]] | [[File:Square face bicapped trigonal prism.png|100px]] | {{chem|ZrF|8|4-}} |- ! rowspan="2"| ML<sub>9</sub> | [[Tricapped trigonal prismatic molecular geometry|Tricapped trigonal prismatic]] | [[File:AX9E0-3D-balls.png|110px]] | [[Potassium nonahydridorhenate|{{chem|ReH|9|2-}}]]<ref name=Housecroft/>{{rp|254}} |- | [[Capped square antiprismatic molecular geometry|Capped square antiprismatic]] | [[File:Monocapped square antiprism.png|110px]] | |}
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