DOI: 10.1063/1.1749946. Interaction in Molecules Between Rotation and Slightly Anisotropic Oscillations

Interaction in Molecules Between Rotation and Slightly Anisotropic Oscillations

10.1063/1.1749946

Crossref journal-article

AIP Publishing

The Journal of Chemical Physics (317)

Abstract

The problem of the interaction between rotation and oscillation in two dimensionally slightly anisotropic molecules is considered quantum mechanically on the basis of model rotating only about an axis normal to the plane in which the oscillations take place. The energy of the molecule in the ground state becomes (h/2)(v1+v2)+K2h2/8π2A while for the upper states the energies are E=h(ν1+ν2)+(K2+ζ2)h2/8π2A±((Δν/2)2+(Kh/4π2A)2ζ2)12, where ζ is a quantity depending upon the normal coordinates which in general is not an integer. The selection rules are such as to enhance the intensities of the set of lines in the sides of the two bands adjacent to each other at the expense of the set of lines in the sides of the bands farthest away from each other. The spacings between rotational lines of the first set converge rapidly toward a limiting value of (1-ζ)h/4π2A, while for the other set the spacings approach a value (1+ζ)h/4π2A.

Bibliography

Nielsen, H. H. (1937). Interaction in Molecules Between Rotation and Slightly Anisotropic Oscillations. The Journal of Chemical Physics, 5(10), 818â822.

Authors 1

Harald H. Nielsen (first)

References 4 Referenced 33

{'key': '2024020811504137100_r1', 'first-page': '791', 'volume': '73', 'year': '1932', 'journal-title': 'Zeits. f. Physik'} / Zeits. f. Physik (1932)
{'key': '2024020811504137100_r1a'}
10.1103/PhysRev.48.868 / Phys. Rev. (1935)
10.1063/1.1749846 / J. Chem. Phys. (1936)

Dates

Type	When
Created	20 years, 7 months ago (Jan. 5, 2005, 5:20 p.m.)
Deposited	1 year, 6 months ago (Feb. 8, 2024, 6:50 a.m.)
Indexed	1 year, 6 months ago (Feb. 10, 2024, 4:19 a.m.)
Issued	87 years, 10 months ago (Oct. 1, 1937)
Published	87 years, 10 months ago (Oct. 1, 1937)
Published Print	87 years, 10 months ago (Oct. 1, 1937)

Funders 0

None

BibTeX

@article{Nielsen_1937, title={Interaction in Molecules Between Rotation and Slightly Anisotropic Oscillations}, volume={5}, ISSN={1089-7690}, url={http://dx.doi.org/10.1063/1.1749946}, DOI={10.1063/1.1749946}, number={10}, journal={The Journal of Chemical Physics}, publisher={AIP Publishing}, author={Nielsen, Harald H.}, year={1937}, month=oct, pages={818–822} }

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