Classroom Friendly Method to Calculate Character Tables for Finite Groups

Minhhuy Hô ^[1] ; León Francisco Alday Toledo ^[1] ; Roberto Bernal-Jaquez ^[2]
1. [1] Universidad Autónoma del Estado de Morelos
  
  Universidad Autónoma del Estado de Morelos
  
  México
2. [2] Universidad Autónoma Metropolitana
  
  Universidad Autónoma Metropolitana
  
  México
Localización: Journal of chemical education, ISSN 0021-9584, Vol. 97, Nº 7, 2020, págs. 1915-1921
Idioma: inglés
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Resumen
- In this article, we show a very simple algorithm for the evaluation of the character tables applicable to all finite point groups. The method uses linear combinations of the symmetry operators associated with the point group’s classes as the basis set. Eigenvectors of the resulting matrix of such representations are related to the character table of the point group. The method is readily adaptable to both classroom demonstrations, exercises, and program implementation.