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高等学校化学研究 ›› 2004, Vol. 20 ›› Issue (2): 166-175.

• Articles • 上一篇    下一篇

Application of Angular Momentum Theory to Constructing Basis Functions of Irreducible Representations of Icosahedral Group

LI An-yong   

  1. School of Chemistry and Chemical Engineering, Southwestern Normal University, Chongqing 400715, P. R. China
  • 收稿日期:2003-05-19 出版日期:2004-04-24 发布日期:2011-08-06

Application of Angular Momentum Theory to Constructing Basis Functions of Irreducible Representations of Icosahedral Group

LI An-yong   

  1. School of Chemistry and Chemical Engineering, Southwestern Normal University, Chongqing 400715, P. R. China
  • Received:2003-05-19 Online:2004-04-24 Published:2011-08-06

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被引次数

1

摘要： A new method based on angular momentum theory was proposed to construct the basis functions of the irreducible representations(IRs) of point groups. The transformation coefficients, i. e. , coefficients S, are the components of the eigenvectors of some Hermitian matrices, and can be made as real numbers for all pure rotation point groups. The general formula for coefficient S was deduced, and applied to constructing the basis functions of single-valued irreducible representations of icosahedral group from the spherical harmonics with angular momentum j≤7.

关键词: Irreducible representation, Basis function, I group, Angular momentum

Abstract: A new method based on angular momentum theory was proposed to construct the basis functions of the irreducible representations(IRs) of point groups. The transformation coefficients, i. e. , coefficients S, are the components of the eigenvectors of some Hermitian matrices, and can be made as real numbers for all pure rotation point groups. The general formula for coefficient S was deduced, and applied to constructing the basis functions of single-valued irreducible representations of icosahedral group from the spherical harmonics with angular momentum j≤7.

Key words: Irreducible representation, Basis function, I group, Angular momentum