Classroom Friendly Method to Calculate Character Tables for Finite Groups

Autor:	León Francisco Alday Toledo, R. Bernal-Jaquez, Minhhuy Hô
Rok vydání:	2020
Předmět:	Algebra Matrix (mathematics) Character table Group (mathematics) Point (geometry) General Chemistry Symmetry (geometry) Linear combination Point group Eigenvalues and eigenvectors Education
Zdroj:	Journal of Chemical Education. 97:1915-1921
ISSN:	1938-1328 0021-9584
DOI:	10.1021/acs.jchemed.0c00018
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::44ccb11e3685654af1a28568fd9cfe11 https://doi.org/10.1021/acs.jchemed.0c00018 Zobrazit plný text záznamu