### Abstract

An analytical formula for approximation of the real parts of resonance functions in the pressure-broadening theory is proposed. The trajectories are computed from the isotropic Lennard-Jones (6-12) potential using ordinary equations of classical mechanics. The proposed analytical formula is a part of a power series of hyperbolic tangents th(z). The coefficients of this series are determined for the real parts of nine resonance functions. A test calculation of broadening coefficients for HCl in argon is discussed.

Original language | English |
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Pages (from-to) | 2759-2766 |

Number of pages | 8 |

Journal | Molecular Physics |

Volume | 104 |

Issue number | 16-17 |

DOIs | |

Publication status | Published - 20 Aug 2006 |

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### ASJC Scopus subject areas

- Biophysics
- Molecular Biology
- Condensed Matter Physics
- Physical and Theoretical Chemistry

### Cite this

*Molecular Physics*,

*104*(16-17), 2759-2766. https://doi.org/10.1080/00268970600875315

**Approximation of resonance functions for exact trajectories in the pressure-broadening theory. Real parts.** / Lavrentieva, N. N.; Starikov, V. I.

Research output: Contribution to journal › Article

*Molecular Physics*, vol. 104, no. 16-17, pp. 2759-2766. https://doi.org/10.1080/00268970600875315

}

TY - JOUR

T1 - Approximation of resonance functions for exact trajectories in the pressure-broadening theory. Real parts

AU - Lavrentieva, N. N.

AU - Starikov, V. I.

PY - 2006/8/20

Y1 - 2006/8/20

N2 - An analytical formula for approximation of the real parts of resonance functions in the pressure-broadening theory is proposed. The trajectories are computed from the isotropic Lennard-Jones (6-12) potential using ordinary equations of classical mechanics. The proposed analytical formula is a part of a power series of hyperbolic tangents th(z). The coefficients of this series are determined for the real parts of nine resonance functions. A test calculation of broadening coefficients for HCl in argon is discussed.

AB - An analytical formula for approximation of the real parts of resonance functions in the pressure-broadening theory is proposed. The trajectories are computed from the isotropic Lennard-Jones (6-12) potential using ordinary equations of classical mechanics. The proposed analytical formula is a part of a power series of hyperbolic tangents th(z). The coefficients of this series are determined for the real parts of nine resonance functions. A test calculation of broadening coefficients for HCl in argon is discussed.

UR - http://www.scopus.com/inward/record.url?scp=33748257990&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33748257990&partnerID=8YFLogxK

U2 - 10.1080/00268970600875315

DO - 10.1080/00268970600875315

M3 - Article

VL - 104

SP - 2759

EP - 2766

JO - Molecular Physics

JF - Molecular Physics

SN - 0026-8976

IS - 16-17

ER -