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  Home > JCE Print > Journal of Chemical Education > Issues > 2001  > May  >
Research: Science and Education
Splitting of One-Electron Levels in a Tetrahedral Environment
Toyohiko J. Konno
Institute for Materials Research, Tohoku University, Katahira, Aoba-Ku, Sendai 980-8577, Japan
Cover
May 2001
Vol. 78 No. 5
p. 674
Abstract
The degeneracy of atomic orbitals is lifted when an atom is placed in an environment with no spherical symmetry. A well-studied illustration of this principle is the splitting of d-orbital energy levels in an octahedral environment, where group theory provides a sound method to find the splitting without resorting to explicitly solving the Schrödinger equations. Also common but less discussed cases include f orbitals in a tetrahedral environment. This paper shows that a well-established group theoretical approach relying only on the f component of a wave function is inadequate to properly predict the splitting of levels in a tetrahedral symmetry, but is the correct way to deduce how degeneracy of atomic orbitals are lifted. A method that takes into account the q component as well is shown to provide a basic means of obtaining the splitting of energy levels for l = odd orbitals in a tetrahedral symmetry.
More Information
*  Citation
 Konno, Toyohiko J. J. Chem. Educ. 2001 78 674.
*  Keywords
 Coordination Chemistry; Group Theory; Physical Chemistry
*  History
 Created:
Last Updated:		 March 22, 2001
August 31, 2005
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