GROUP R4 IN ATOMIC-STRUCTURE THEORY - HYDROGENIC R4 VERSUS MATHEMATICAL R4 AND COULOMB INTERACTION IN 2SM2PN AND 3SM3PN3DR CONFIGURATIONS

被引：30

作者：

ALPER, JS

SINANOGLU, O

机构：

[1] Sterling Chemistry Laboratory, Yale University, New Haven

[2] Department of Chemistry, Massachusetts Institute of Technology, Cambridge

来源：

PHYSICAL REVIEW | 1969年 / 177卷 / 01期

关键词：

D O I：

10.1103/PhysRev.177.77

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The rotation group in four dimensions R4 is applied to the study of the 2sm2pn configurations of atoms. This Lie group is used in both the mathematical sense, describing the transformation properties of the angular parts of the 2s and 2p electrons, and in the more physical sense of an approximate symmetry group for the first-row atoms. The various states of each configuration are classified by means of R4. By expressing the Coulomb interaction in terms of tensors, transforming according to irreducible representations of R4, Coulomb and exchange integrals are evaluated group theoretically. The method is extended to 3sm3pn3dr configurations. The states are classified by means of R4 and Coulomb and exchange integrals are approximately evaluated. © 1969 The American Physical Society.

引用

页码：77 / +

页数：1

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