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Semiempirical Study of Perturbations of the Landé g Factors of Electronic-Vibrational-Rotational Levels of Hydrogen : II. i 3∏g- and j3Delta; g- States of the H2, HD, and D2 Molecules. / Astashkevich, S. A.

In: Optics and Spectroscopy (English translation of Optika i Spektroskopiya), Vol. 96, No. 1, 01.01.2004, p. 35-46.

Research output: Contribution to journal › Article › peer-review

Harvard

Astashkevich, SA 2004, 'Semiempirical Study of Perturbations of the Landé g Factors of Electronic-Vibrational-Rotational Levels of Hydrogen: II. i 3∏g- and j3Delta; g- States of the H2, HD, and D2 Molecules', Optics and Spectroscopy (English translation of Optika i Spektroskopiya), vol. 96, no. 1, pp. 35-46. https://doi.org/10.1134/1.1643983

APA

Astashkevich, S. A. (2004). Semiempirical Study of Perturbations of the Landé g Factors of Electronic-Vibrational-Rotational Levels of Hydrogen: II. i 3∏g- and j3Delta; g- States of the H2, HD, and D2 Molecules. Optics and Spectroscopy (English translation of Optika i Spektroskopiya), 96(1), 35-46. https://doi.org/10.1134/1.1643983

Vancouver

Astashkevich SA. Semiempirical Study of Perturbations of the Landé g Factors of Electronic-Vibrational-Rotational Levels of Hydrogen: II. i 3∏g- and j3Delta; g- States of the H2, HD, and D2 Molecules. Optics and Spectroscopy (English translation of Optika i Spektroskopiya). 2004 Jan 1;96(1):35-46. https://doi.org/10.1134/1.1643983

Author

Astashkevich, S. A. / Semiempirical Study of Perturbations of the Landé g Factors of Electronic-Vibrational-Rotational Levels of Hydrogen : II. i 3∏g- and j3Delta; g- States of the H2, HD, and D2 Molecules. In: Optics and Spectroscopy (English translation of Optika i Spektroskopiya). 2004 ; Vol. 96, No. 1. pp. 35-46.

BibTeX

@article{f64c8c2c99414924b4a2700dd4f153f9,
title = "Semiempirical Study of Perturbations of the Land{\'e} g Factors of Electronic-Vibrational-Rotational Levels of Hydrogen: II. i 3∏g- and j3Delta; g- States of the H2, HD, and D2 Molecules",
abstract = "The values of the Land{\'e} g factors of the i3∏ g-, v, N and j3Δg- v, N states of the H2, HD, and D2 molecules have been found semiempirically for the following vibrational and rotational quantum numbers: v≤ 3; N ≤ 7 for H2; N ≤ 5 for HD; and N ≤ 11 for D2. These values were obtained in terms of the nonadiabatic model, which takes into account the interaction between the 3dπ 3∏g and 3dδ3Δg states with the same values of v and N in the approximation of pure precession, with the use of semiempirical values of the expansion coefficients of the wave functions in the Born-Oppenheimer basis determined by us previously and the results of numerical calculation of the overlap integrals of the vibrational wave functions of these states. The results obtained for the H2 molecule are in good agreement with the data in the literature. For the i 3∏g- and j3Δ g- states of the HD and D2 molecules, the g factors were found for the first time. This made it possible to study for the first time the role of the isotopic effect in the perturbation of the dependences of the g factors of rovibrational levels on v and N for the triplet electronic states of the hydrogen molecule. It was found that the interference effects of interaction between the 3dπ3∏g and 3dδ3Δg states lead both to significant differences - up to 8, 6, and 11 times for H2, HD, and D 2, respectively (the i3∏g- state), 20 times for H2 and HD, and two orders of magnitude for D2 (the j3Δg- state) - between the nonadiabatic values of the g factors and the corresponding adiabatic values for some isotopomers of the hydrogen molecule and to significant differences - up to 9 and 1.5 times for the j 3Δg- and i3∏ g- states, respectively - in the nonadiabatic values of the g factors of rovibrational levels of different isotopomers of the hydrogen molecule.",
author = "Astashkevich, {S. A.}",
year = "2004",
month = jan,
day = "1",
doi = "10.1134/1.1643983",
language = "English",
volume = "96",
pages = "35--46",
journal = "OPTICS AND SPECTROSCOPY",
issn = "0030-400X",
publisher = "Pleiades Publishing",
number = "1",

}

RIS

TY - JOUR

T1 - Semiempirical Study of Perturbations of the Landé g Factors of Electronic-Vibrational-Rotational Levels of Hydrogen

T2 - II. i 3∏g- and j3Delta; g- States of the H2, HD, and D2 Molecules

AU - Astashkevich, S. A.

PY - 2004/1/1

Y1 - 2004/1/1

N2 - The values of the Landé g factors of the i3∏ g-, v, N and j3Δg- v, N states of the H2, HD, and D2 molecules have been found semiempirically for the following vibrational and rotational quantum numbers: v≤ 3; N ≤ 7 for H2; N ≤ 5 for HD; and N ≤ 11 for D2. These values were obtained in terms of the nonadiabatic model, which takes into account the interaction between the 3dπ 3∏g and 3dδ3Δg states with the same values of v and N in the approximation of pure precession, with the use of semiempirical values of the expansion coefficients of the wave functions in the Born-Oppenheimer basis determined by us previously and the results of numerical calculation of the overlap integrals of the vibrational wave functions of these states. The results obtained for the H2 molecule are in good agreement with the data in the literature. For the i 3∏g- and j3Δ g- states of the HD and D2 molecules, the g factors were found for the first time. This made it possible to study for the first time the role of the isotopic effect in the perturbation of the dependences of the g factors of rovibrational levels on v and N for the triplet electronic states of the hydrogen molecule. It was found that the interference effects of interaction between the 3dπ3∏g and 3dδ3Δg states lead both to significant differences - up to 8, 6, and 11 times for H2, HD, and D 2, respectively (the i3∏g- state), 20 times for H2 and HD, and two orders of magnitude for D2 (the j3Δg- state) - between the nonadiabatic values of the g factors and the corresponding adiabatic values for some isotopomers of the hydrogen molecule and to significant differences - up to 9 and 1.5 times for the j 3Δg- and i3∏ g- states, respectively - in the nonadiabatic values of the g factors of rovibrational levels of different isotopomers of the hydrogen molecule.

AB - The values of the Landé g factors of the i3∏ g-, v, N and j3Δg- v, N states of the H2, HD, and D2 molecules have been found semiempirically for the following vibrational and rotational quantum numbers: v≤ 3; N ≤ 7 for H2; N ≤ 5 for HD; and N ≤ 11 for D2. These values were obtained in terms of the nonadiabatic model, which takes into account the interaction between the 3dπ 3∏g and 3dδ3Δg states with the same values of v and N in the approximation of pure precession, with the use of semiempirical values of the expansion coefficients of the wave functions in the Born-Oppenheimer basis determined by us previously and the results of numerical calculation of the overlap integrals of the vibrational wave functions of these states. The results obtained for the H2 molecule are in good agreement with the data in the literature. For the i 3∏g- and j3Δ g- states of the HD and D2 molecules, the g factors were found for the first time. This made it possible to study for the first time the role of the isotopic effect in the perturbation of the dependences of the g factors of rovibrational levels on v and N for the triplet electronic states of the hydrogen molecule. It was found that the interference effects of interaction between the 3dπ3∏g and 3dδ3Δg states lead both to significant differences - up to 8, 6, and 11 times for H2, HD, and D 2, respectively (the i3∏g- state), 20 times for H2 and HD, and two orders of magnitude for D2 (the j3Δg- state) - between the nonadiabatic values of the g factors and the corresponding adiabatic values for some isotopomers of the hydrogen molecule and to significant differences - up to 9 and 1.5 times for the j 3Δg- and i3∏ g- states, respectively - in the nonadiabatic values of the g factors of rovibrational levels of different isotopomers of the hydrogen molecule.

UR - http://www.scopus.com/inward/record.url?scp=1642301496&partnerID=8YFLogxK

U2 - 10.1134/1.1643983

DO - 10.1134/1.1643983

M3 - Article

AN - SCOPUS:1642301496

VL - 96

SP - 35

EP - 46

JO - OPTICS AND SPECTROSCOPY

JF - OPTICS AND SPECTROSCOPY

SN - 0030-400X

IS - 1

ER -

ID: 33268197