Cite this article as:

Gavva S. P. Intensity of Spectral Lines Perturbed Vibrational Transitions States of the Main Absorption Bands Polyatomic Molecules. Izvestiya of Saratov University. New series. Series Physics, 2013, vol. 13, iss. 2, pp. 34-39. DOI: https://doi.org/10.18500/1817-3020-2013-13-2-34-39


Heading: 
UDC: 
539.194
Language: 
Russian

Intensity of Spectral Lines Perturbed Vibrational Transitions States of the Main Absorption Bands Polyatomic Molecules

Abstract

Based on the analytic perturbation theory of linear operators using the method of constructing holomorphic functions for transforming the vibrational-rotational Hamiltonian. Built operator function is used to investigate the excited vibrational states and transitions between them. Formulas are obtained for the matrix elements and the absolute intensities of the spectral lines as a function of rotational and vibrational quantum numbers for the main bands of infrared absorption spectra of polyatomic molecules.

References

1. Като Т. Теория возмущений линейных операторов. М. : Мир, 1972. 740 с.

2. Гавва С. П. Аналитические возмущения волновых функций и уровней энергии колебательных состояний молекул // Опт. и спектр. 2009. Т. 106, № 4. С. 533‒536.

3. Wilson Jr. E. B., Hovard J. B. The vibration-rotation energy levels of polyatomic molecules // J. Chem. Phys. 1936. Vol. 4. P. 260‒268.

4. Watson J. K. G. Simplifi cation of the molecular vibration-rotation Hamiltonian // Mol. Phys. 1968. Vol. 15. P. 479 ‒ 490.

5. Aliev M. R., Watson J. K. G. Calculated sextic centrifugal distortion constants of polyatomic molecules // J. Mol. Spectros. 1976. Vol. 61. P. 29‒52.

6. Niroomond A. A., Parker P. M. Sequential contact transformation formulation of asymmetric-rotator vibrationrotation Hamiltonian // J. Mol. Spectros. 1981. Vol. 85. P. 40‒54.

7. Amat C., Nielsen H. H., Tarrago G. Rotation-vibration of polyatomic molecules. N. Y. : M. Dekker Inc., 1971. 520 p.

8. Алиев М. Р., Михайлов В. М. Интенсивности колебательно-вращательных переходов в основных ИК полосах поглощения многоатомных молекул // Опт. и спектр. 1981. Т. 51. С. 633‒638.

Full text (in Russian):
(downloads: 90)