The sums and densities of vibrational states in a system with a finite number of levels
An exact solution for the sums and densities of vibrational states in a system of “truncated” harmonic oscillators was obtained. Simple equations describing these results analytically were derived. Changes in these results caused by the inclusion of anharmonicity of vibrations were studied. The ability of the model to predict numbers of states was demonstrated for the example of NO2 molecules.
KeywordsPartition Function Harmonic Oscillator Dissociation Energy Vibrational State Vibrational Level
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