Matrix elements of vibration kinetic energy operator of tetrahedral molecules in non-orthogonal-dependent coordinates |
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| Authors: | Alexander E Protasevich Andrei V Nikitin |
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| Institution: | 1. Laboratory of Atmospheric Absorption Spectroscopy, V.E. Zuev Institute of Atmospheric Optics, SB RAS, 1, Academician Zuev square, 634021, Tomsk, Russian Federation;2. Laboratory of Theoretical Spectroscopy, V.E. Zuev Institute of Atmospheric Optics, SB RAS, 1, Academician Zuev square, 634021, Tomsk, Russian Federation |
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| Abstract: | In this work, we propose an algorithm for calculating the matrix elements of the kinetic energy operator for tetrahedral molecules. This algorithm uses the dependent six-angle coordinates (6A) and takes into account the full symmetry of molecules. Unlike A.V. Nikitin, M. Rey, and Vl. G. Tyuterev who operate with the kinetic energy operator only in Radau orthogonal coordinates, we consider a general case. The matrix elements are shown to be a sum of products of one-dimensional integrals. |
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| Keywords: | Vibrational energy levels potential energy surface operator of kinetic energy infrared spectra variational methods |
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