Point groups in the Vibron model

Amiram Leviatan*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

12 Scopus citations


The question of incorporating the notion of point groups in the algebraic Vibron model for molecular rotation-vibration spectra is addressed. Boson transformations which act on intrinsic states are identified as the algebraic analog of the discrete point group transformations. A prescription for assigning point group labels to states of the Vibron model is obtained. In case of nonlinear triatomic molecules the Jacobi coordinates are found to be a convenient possible choice for the geometric counterparts of the algebraic shape parameters. The work focuses on rigid diatomic and triatomic molecules (linear and bent).

Original languageAmerican English
Pages (from-to)1706-1718
Number of pages13
JournalThe Journal of Chemical Physics
Issue number3
StatePublished - 1989
Externally publishedYes


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