✦ LIBER ✦

Equivalent spherical harmonics

✍ Scribed by A. Schmelzer

Publisher: John Wiley and Sons
Year: 1977
Tongue: English
Weight: 596 KB
Volume: 11
Category: Article
ISSN: 0020-7608
DOI: 10.1002/qua.560110404

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✦ Synopsis

Abstract

It is known that the 2__l__+1 spherical harmonics Y~lm~ can be transformed into cyclically equivalent orbitals, of which only a few examples have so far been given explicitly. In this article the totality of such cyclic sets is derived.

It is demonstrated that other kinds of equivalent spherical harmonics do not exist.

Finally a set of five equivalent d orbitals related to icosahedral symmetry is introduced.

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