Two Equivalent eg Orbitals for the Discussion of Bonding in Octahedral Complexes

Kai Brandhorst and Jörg Grunenberg
Institut für Organische Chemie, Technische Universität Carolo-Wilhelmina, 38106 Braunschweig, Germany
Matthias Tamm
Institut für Anorganische und Analytische Chemie, Technische Universität Carolo-Wilhelmina, 38106 Braunschweig, Germany
J. Chem. Educ., 2008, 85 (12), p 1692
DOI: 10.1021/ed085p1692
Publication Date (Web): December 1, 2008

Abstract

A new set of d orbitals, constructed as a linear combination of the omnipresent set of dxy, dyz, dxz, dx2–y2, and dz2 orbitals, is suitable for the discussion of octahedral transition-metal complexes. The main feature of the newly derived set orbitals is the equivalence of the two eg orbitals in terms of their spatial appearance, which may facilitate the understanding of degeneracy in terms of ligand field theory. Furthermore, the reader is reminded of the fundamental difference between canonical, complex solutions of the Schrödinger equation and the manifold real-valued linear combinations of them.

Keywords (Audience):

Upper-Division Undergraduate

Keywords (Domain):

Physical Chemistry

Keywords (Subject):

Crystal Field / Ligand Field Theory

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History

  • Received: August 03, 2009

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