Elements of tensors of the excited vibration form of molecules

Svetlana P. Gavva

doi:10.1117/12.375391

25 January 2000 Elements of tensors of the excited vibration form of molecules

Svetlana P. Gavva

Proceedings Volume 4063, 13th Symposium and School on High-Resolution Molecular Spectroscopy; (2000) https://doi.org/10.1117/12.375391
Event: 13th Symposium and School on High-Resolution Molecular Spectroscopy, 1999, Tomsk, Russian Federation

Abstract

In the present work the algebraic method of modeling of internal vibrational coordinates for excited vibrational transitions is proposed. Within the framework of this method, the internal vibrational coordinates are presented as polylinear forms, which depend on the corresponding powers of normal coordinates. The coefficients in these polylinear forms are the sought-for elements of higher-order tensors for valent and deformation vibrations of spherical- symmetry molecules. Using the formulae obtained, the calculations of coefficients L_i^rs, L_i^rst, L_i^rstk have been performed for the molecules of methane CH₄ and deutero-substituted methane CD₄.

Citation Download Citation

Svetlana P. Gavva "Elements of tensors of the excited vibration form of molecules", Proc. SPIE 4063, 13th Symposium and School on High-Resolution Molecular Spectroscopy, (25 January 2000); https://doi.org/10.1117/12.375391

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