A study of the Xαβ-exchange approximation on atoms for use in molecular and solid-state calculations

Karlheinz Schwarz
Institute für Technische Elektrochemie, Technische Hochschule Wien, A-1060 Vienna, Austria
IBM Research Laboratory, San Jose, California 95114, USA
Received 4 June 1974, Revised 7 October 1974, Available online 9 January 2002.



Abstract

The Xαβ exchange approximation is applied to atoms and its universal (Z-independent) character is demonstrated. Its practical applicability to molecules and solids is critically analysed by a comparison with the Xα- and HF approximations. The influence of the modifying function which is needed to make the exchange inhomogeneity correction (β-term) finite for large r is studied. The validity of the virial theorem is discussed.


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