Eur. Phys. J. D 42, 61-72 (2007)
https://doi.org/10.1140/epjd/e2007-00011-3

Local modes of silane within the framework of stretching vibrational polyads

¹ Institut Carnot de Bourgogne, UMR 5209 CNRS-Université de Bourgogne, 9 avenue Alain Savary, B.P. 47870, 21078 Dijon, France
² Université du Littoral, Département de physique, 59140 Dunkerque, France

Corresponding author: ^a sadovski@univ-littoral.fr

Received: 9 October 2006
Revised: 12 December 2006
Published online: 19 January 2007

Abstract

We define stretching relative equilibria (RE) of silane and other similar tetrahedral molecules in terms of the dynamical polyad symmetry which assumes the resonance condition 1:1 between the two stretching vibrational modes ν₁ and ν₃ of the molecule. Exploiting symmetry and topology arguments and reducing the dimension of the classical mechanical system, we find these RE. One of them, with local symmetry C_3v and minimal energy within a polyad, corresponds to the local modes. We give the upper energy limit of the local mode localization within a polyad.