Infrared Line and Band Strengths and Dipole Moment Function in HCl and DCl

Abstract The radial Schrödinger wave equation with Morse potential function is solved for HF molecule. The resulting vibration-rotation eigenfunctions are then used to compute the matrix elements of (r - re)n. These are combined with the experimental values of the electric dipole matrix elements to calculate the dipole moment coefficients, M 1 and M 2.

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Vibration-rotation band strengths and dipole moment function of the H79Br molecule

Journal of Physics B Atomic and Molecular Physics ◽

10.1088/0022-3700/4/6/008 ◽

1971 ◽

Vol 4 (6) ◽

pp. 791-796 ◽

Cited By ~ 8

Author(s):

B S Rao

Keyword(s):

Dipole Moment ◽

Moment Function ◽

Rotation Band ◽

Vibration Rotation

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IR Spectra and dipole moment function of the H2S molecule in the gas and liquid phases

Russian Journal of Physical Chemistry B ◽

10.1134/s1990793113060079 ◽

2013 ◽

Vol 7 (6) ◽

pp. 721-733 ◽

Cited By ~ 3

Author(s):

Sh. Sh. Nabiev ◽

L. A. Palkina ◽

V. I. Starikov

Keyword(s):

Dipole Moment ◽

Ir Spectra ◽

Moment Function ◽

Liquid Phases

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Infra-red intensities of vibrations of the carbon-hydrogen bond, and its dipole moment function

Spectrochimica Acta Part A Molecular Spectroscopy ◽

10.1016/0584-8539(67)80236-8 ◽

1967 ◽

Vol 23 (2) ◽

pp. 335-345 ◽

Cited By ~ 11

Author(s):

G.J Boobyer

Keyword(s):

Hydrogen Bond ◽

Dipole Moment ◽

Moment Function ◽

Infra Red

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Exact formula for the dipole moment of a one-electron diatomic molecule

Proceedings of the Royal Society of London Series A - Mathematical and Physical Sciences ◽

10.1098/rspa.1985.0104 ◽

1985 ◽

Vol 401 (1821) ◽

pp. 373-392 ◽

Cited By ~ 1

Keyword(s):

Dipole Moment ◽

Electronic State ◽

Diatomic Molecule ◽

Recursion Relation ◽

Energy Eigenvalue ◽

Exact Formula ◽

Electronic Energy ◽

Moment Function ◽

Expectation Values ◽

Feynman Theorem

It is shown that the dipole moment function, μ ( R , Z a , Z b ), for an arbitrary bound electronic state of a one-electron diatomic molecule, with inter-nuclear distance R and atomic numbers Z a , Z b may be expressed exactly in terms of the separation eigenconstant C and the electronic energy eigenvalue W of the Schrödinger equation by means of the Hellmann-Feynman theorem and a new recursion relation. The formula is used to investigate the behaviour of μ in the vicinity of the united atom and when the nuclei are far apart. The generalization required to extend the relation to other expectation values is derived in an appendix.

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