Analytic vibration-rotational matrix elements for high Delta-v infrared transitions of diatomic molecules

Computer Science – Numerical Analysis

Scientific paper

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Diatomic Molecules, Dipole Moments, Electron Transitions, Infrared Spectra, Matrices (Mathematics), Potential Energy, High Resolution, Hydrochloric Acid, Numerical Analysis

Scientific paper

Theoretical expressions for the vibration-rotational-matrix elements corresponding to IR transitions vJ - (v-prime)(J-prime) with Delta-v = 4, 5, 6, 7 are given in terms of polynomials in m and m squared,including contributions from sixth-order Dunham potential-energy parameters and from dipole-moment expansion coefficients M0 to M7. The formalism has been applied to vibrational transitions of HCL. Using two dipole-moment functions, Herman-Wallis coefficients have been derived for the bands 0-0 to 0-7 of HCl and are compared with experimental data.

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