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12 January 2004 Calculations of vibration-rotation energy levels of diatomic molecules using the Euler series transformation method
T. V. Kruglova, Alexander D. Bykov
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Proceedings Volume 5311, 14th Symposium on High-Resolution Molecular Spectroscopy; (2004) https://doi.org/10.1117/12.545624
Event: 14th Symposium on High-Resolution Molecular Spectroscopy, 2003, Krasnoyarsk, Russian Federation
Abstract
Vibration - rotation energy levels of diatomic molecules are usually represented as a power series on vibration (v+1/2) and rotation J(J+1) quantum numbers - Dunham series. These series can be slowly convergent or even divergent for highly excited states, therefor, one needs to use the special method of their summation (Refs.[1-8] in the reference list are an examples). In the present we report the application of the Generalized Euler Transformation - a method for divergent series summation, for calculation of vibration-rotation spectra of diatomic molecules.
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T. V. Kruglova and Alexander D. Bykov "Calculations of vibration-rotation energy levels of diatomic molecules using the Euler series transformation method", Proc. SPIE 5311, 14th Symposium on High-Resolution Molecular Spectroscopy, (12 January 2004); https://doi.org/10.1117/12.545624
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KEYWORDS
Molecules
Molecular spectroscopy
Astatine
Error analysis
Oscillators
Quantum efficiency
Quantum physics
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