### Abstract

We examined permanent dipole moments (PDMs) of methane-type molecules induced by molecular internal motions which are expanded in terms of the vibrational coordinate operator q, total angular momentum operator J, and vibrational angular momentum operator l. The qq-, JJ-, Jl-, and ll-type quadratic terms of these operators contribute to the production of PDMs. The ΔJ = 0 matrix elements of the four PDMs are calculated for the first excited state of the triply degenerate vibrational mode; a portion are numerically given in a table for the J ≤ 6 levels. We have also compared them with the PDM represented by the rotational angular momentum operator R = J - l and discussed an application of the present calculations to the υ_{3} = 2 state of methane.

Original language | English |
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Pages (from-to) | 285-294 |

Number of pages | 10 |

Journal | Journal of Molecular Spectroscopy |

Volume | 183 |

Issue number | 2 |

Publication status | Published - 1997 Jun |

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### ASJC Scopus subject areas

- Physical and Theoretical Chemistry
- Spectroscopy
- Atomic and Molecular Physics, and Optics

### Cite this

*Journal of Molecular Spectroscopy*,

*183*(2), 285-294.

**Permanent Dipole Moments of Methane-Type Molecules : Calculation of the ΔJ = 0 Matrix Elements in the l = 1 Vibrational State.** / Ishibashi, Chikako; Sasada, Hiroyuki.

Research output: Contribution to journal › Article

*Journal of Molecular Spectroscopy*, vol. 183, no. 2, pp. 285-294.

}

TY - JOUR

T1 - Permanent Dipole Moments of Methane-Type Molecules

T2 - Calculation of the ΔJ = 0 Matrix Elements in the l = 1 Vibrational State

AU - Ishibashi, Chikako

AU - Sasada, Hiroyuki

PY - 1997/6

Y1 - 1997/6

N2 - We examined permanent dipole moments (PDMs) of methane-type molecules induced by molecular internal motions which are expanded in terms of the vibrational coordinate operator q, total angular momentum operator J, and vibrational angular momentum operator l. The qq-, JJ-, Jl-, and ll-type quadratic terms of these operators contribute to the production of PDMs. The ΔJ = 0 matrix elements of the four PDMs are calculated for the first excited state of the triply degenerate vibrational mode; a portion are numerically given in a table for the J ≤ 6 levels. We have also compared them with the PDM represented by the rotational angular momentum operator R = J - l and discussed an application of the present calculations to the υ3 = 2 state of methane.

AB - We examined permanent dipole moments (PDMs) of methane-type molecules induced by molecular internal motions which are expanded in terms of the vibrational coordinate operator q, total angular momentum operator J, and vibrational angular momentum operator l. The qq-, JJ-, Jl-, and ll-type quadratic terms of these operators contribute to the production of PDMs. The ΔJ = 0 matrix elements of the four PDMs are calculated for the first excited state of the triply degenerate vibrational mode; a portion are numerically given in a table for the J ≤ 6 levels. We have also compared them with the PDM represented by the rotational angular momentum operator R = J - l and discussed an application of the present calculations to the υ3 = 2 state of methane.

UR - http://www.scopus.com/inward/record.url?scp=0005214607&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0005214607&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0005214607

VL - 183

SP - 285

EP - 294

JO - Journal of Molecular Spectroscopy

JF - Journal of Molecular Spectroscopy

SN - 0022-2852

IS - 2

ER -