DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: The relaxation matrix for symmetric tops with inversion symmetry. I. Effects of line coupling on self-broadened ν1 and pure rotational bands of NH3

Abstract

Line mixing effects have been calculated in the ν1 parallel band of self-broadened NH3. The theoretical approach is an extension of a semi-classical model to symmetric-top molecules with inversion symmetry developed in the companion paper [Q. Ma and C. Boulet, J. Chem. Phys. 144, 224303 (2016)]. This model takes into account line coupling effects and hence enables the calculation of the entire relaxation matrix. A detailed analysis of the various coupling mechanisms is carried out for Q and R inversion doublets. The model has been applied to the calculation of the shape of the Q branch and of some R manifolds for which an obvious signature of line mixing effects has been experimentally demonstrated. Comparisons with measurements show that the present formalism leads to an accurate prediction of the available experimental line shapes. Discrepancies between the experimental and theoretical sets of first order mixing parameters are discussed as well as some extensions of both theory and experiment.

Authors:
 [1];  [2]
  1. Columbia Univ., New York, NY (United States)
  2. Univ. Paris-Saclay, Gif-sur-Yvette (France)
Publication Date:
Research Org.:
Columbia Univ., New York, NY (United States)
Sponsoring Org.:
National Science Foundation (NSF); USDOE
OSTI Identifier:
1418594
Grant/Contract Number:  
AC02-05CH11231; NSF-1501297
Resource Type:
Accepted Manuscript
Journal Name:
Journal of Chemical Physics
Additional Journal Information:
Journal Volume: 144; Journal Issue: 22; Journal ID: ISSN 0021-9606
Publisher:
American Institute of Physics (AIP)
Country of Publication:
United States
Language:
English
Subject:
37 INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CHEMISTRY

Citation Formats

Ma, Q., and Boulet, C. The relaxation matrix for symmetric tops with inversion symmetry. I. Effects of line coupling on self-broadened ν1 and pure rotational bands of NH3. United States: N. p., 2016. Web. doi:10.1063/1.4952995.
Ma, Q., & Boulet, C. The relaxation matrix for symmetric tops with inversion symmetry. I. Effects of line coupling on self-broadened ν1 and pure rotational bands of NH3. United States. https://doi.org/10.1063/1.4952995
Ma, Q., and Boulet, C. Tue . "The relaxation matrix for symmetric tops with inversion symmetry. I. Effects of line coupling on self-broadened ν1 and pure rotational bands of NH3". United States. https://doi.org/10.1063/1.4952995. https://www.osti.gov/servlets/purl/1418594.
@article{osti_1418594,
title = {The relaxation matrix for symmetric tops with inversion symmetry. I. Effects of line coupling on self-broadened ν1 and pure rotational bands of NH3},
author = {Ma, Q. and Boulet, C.},
abstractNote = {Line mixing effects have been calculated in the ν1 parallel band of self-broadened NH3. The theoretical approach is an extension of a semi-classical model to symmetric-top molecules with inversion symmetry developed in the companion paper [Q. Ma and C. Boulet, J. Chem. Phys. 144, 224303 (2016)]. This model takes into account line coupling effects and hence enables the calculation of the entire relaxation matrix. A detailed analysis of the various coupling mechanisms is carried out for Q and R inversion doublets. The model has been applied to the calculation of the shape of the Q branch and of some R manifolds for which an obvious signature of line mixing effects has been experimentally demonstrated. Comparisons with measurements show that the present formalism leads to an accurate prediction of the available experimental line shapes. Discrepancies between the experimental and theoretical sets of first order mixing parameters are discussed as well as some extensions of both theory and experiment.},
doi = {10.1063/1.4952995},
journal = {Journal of Chemical Physics},
number = 22,
volume = 144,
place = {United States},
year = {Tue Jun 14 00:00:00 EDT 2016},
month = {Tue Jun 14 00:00:00 EDT 2016}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Citation Metrics:
Cited by: 8 works
Citation information provided by
Web of Science

Figures / Tables:

Fig. 1 Fig. 1: The Fourier transform of $\mathbb F$100100(k, rc) (in ps-2) at T = 296 K where k is dimensionless and rc is given in Å.

Save / Share:

Works referenced in this record:

Semiclassical Theory of Spectra and Relaxation in Molecular Gases
journal, September 1966

  • Gordon, R. G.
  • The Journal of Chemical Physics, Vol. 45, Issue 5
  • DOI: 10.1063/1.1727808

Microwave radii in nonresonant spectra
journal, October 1977


Modification of the Robert–Bonamy formalism in calculating Lorentzian half-widths and shifts
journal, February 2007

  • Ma, Q.; Tipping, R. H.; Boulet, C.
  • Journal of Quantitative Spectroscopy and Radiative Transfer, Vol. 103, Issue 3
  • DOI: 10.1016/j.jqsrt.2006.08.001

Short range force effects in semiclassical molecular line broadening calculations
journal, January 1979


Effects on calculated half-widths and shifts from the line coupling for asymmetric-top molecules
journal, June 2014

  • Ma, Q.; Boulet, C.; Tipping, R. H.
  • The Journal of Chemical Physics, Vol. 140, Issue 24
  • DOI: 10.1063/1.4883058

Self‐collisional coupling and broadening in the asymmetric rotor CHF 2 Cl
journal, January 1995

  • Cazzoli, G.; Cludi, L.; Cotti, G.
  • The Journal of Chemical Physics, Vol. 102, Issue 3
  • DOI: 10.1063/1.469173

Fourier transform and CARS spectroscopy of the ν1 and ν3 fundamental bands of 14NH3
journal, December 1985


Line interference effects using a refined Robert-Bonamy formalism: The test case of the isotropic Raman spectra of autoperturbed N 2
journal, February 2014

  • Boulet, Christian; Ma, Qiancheng; Thibault, Franck
  • The Journal of Chemical Physics, Vol. 140, Issue 8
  • DOI: 10.1063/1.4865967

An Empirical Expression for Linewidths of Ammonia from Far-Infrared Measurements
journal, December 1994

  • Brown, L. R.; Peterson, D. B.
  • Journal of Molecular Spectroscopy, Vol. 168, Issue 2
  • DOI: 10.1006/jmsp.1994.1305

The relaxation matrix for symmetric tops with inversion symmetry. II. Line mixing effects in the ν 1 band of NH 3
journal, June 2016

  • Boulet, C.; Ma, Q.
  • The Journal of Chemical Physics, Vol. 144, Issue 22
  • DOI: 10.1063/1.4952996

Line Broadening and Mixing in NH3 Inversion Doublets Perturbed by NH3, He, Ar, and H2
journal, December 2001

  • Hadded, S.; Aroui, H.; Orphal, J.
  • Journal of Molecular Spectroscopy, Vol. 210, Issue 2
  • DOI: 10.1006/jmsp.2001.8452

Pressure induced shifts in HCl/HF and HF/HCI systems
journal, January 1981


Comparison of pressure shift impact calculations with experimental results
journal, October 1983


Self broadening in the v1 band of NH3
journal, August 1993

  • Markov, V. N.; Pine, A. S.; Buffa, G.
  • Journal of Quantitative Spectroscopy and Radiative Transfer, Vol. 50, Issue 2
  • DOI: 10.1016/0022-4073(93)90115-X

Energy transfer in NH 3 –He collisions
journal, September 1980

  • Green, Sheldon
  • The Journal of Chemical Physics, Vol. 73, Issue 6
  • DOI: 10.1063/1.440495

Theory of relaxation parameters of the spectrum shape in the impact approximation–I:General consideration
journal, July 2014


Self- and foreign-gas-broadened lineshapes in the ν1 band of NH3
journal, November 2004


Causal correlation functions and Fourier transforms: Application in calculating pressure induced shifts
journal, July 2012

  • Ma, Q.; Tipping, R. H.; Lavrentieva, N. N.
  • Journal of Quantitative Spectroscopy and Radiative Transfer, Vol. 113, Issue 11
  • DOI: 10.1016/j.jqsrt.2012.02.012

Semiclassical calculations of collision line broadening in Raman spectra of N2 and CO mixtures
journal, May 2004

  • Afzelius, Mikael; Bengtsson, Per-Erik; Bonamy, Jeanine
  • The Journal of Chemical Physics, Vol. 120, Issue 18
  • DOI: 10.1063/1.1689957

Refinement of the Robert-Bonamy formalism: Considering effects from the line coupling
journal, July 2013

  • Ma, Q.; Boulet, C.; Tipping, R. H.
  • The Journal of Chemical Physics, Vol. 139, Issue 3
  • DOI: 10.1063/1.4813234

High-resolution infrared spectroscopy of ammonia: A survey of theory and analyses of spectra
journal, November 1992


Irreducible correlation functions of the Ŝ matrix in the coordinate representation: Application in calculating Lorentzian half-widths and shifts
journal, January 2006

  • Ma, Q.; Tipping, R. H.; Boulet, C.
  • The Journal of Chemical Physics, Vol. 124, Issue 1
  • DOI: 10.1063/1.2139671

Rotational excitation in H 2 –H 2 collisions: Close‐coupling calculations
journal, March 1975

  • Green, Sheldon
  • The Journal of Chemical Physics, Vol. 62, Issue 6
  • DOI: 10.1063/1.430752

Self-broadening, self-shift and self-mixing in the ν2, 2ν2 and ν4 bands of NH3
journal, December 2009

  • Aroui, H.; Laribi, H.; Orphal, J.
  • Journal of Quantitative Spectroscopy and Radiative Transfer, Vol. 110, Issue 18
  • DOI: 10.1016/j.jqsrt.2009.05.002

A theory of microwave lineshifts
journal, April 1976


Line shift and mixing in the ν4 and 2ν2 band of NH3 perturbed by H2 and Ar
journal, September 2005


Line-widths of pressure-broadened spectral lines
journal, January 1962


Application of pressure broadening theory to the calculation of atmospheric oxygen and water vapor microwave absorption
journal, March 1977


Line mixing in parallel and perpendicular bands of CO 2 : A further test of the refined Robert-Bonamy formalism
journal, September 2015

  • Boulet, C.; Ma, Q.; Tipping, R. H.
  • The Journal of Chemical Physics, Vol. 143, Issue 12
  • DOI: 10.1063/1.4931587

Analysis of N2, O2, CO2, and air broadening of infrared spectral lines in the ν4 band of NH3
journal, January 2001

  • Dhib, M.; Bouanich, J. -P.; Aroui, H.
  • Journal of Quantitative Spectroscopy and Radiative Transfer, Vol. 68, Issue 2
  • DOI: 10.1016/S0022-4073(00)00020-0

Re-analysis of ammonia spectra: Updating the HITRAN 14NH3 database
journal, November 2013

  • Down, Michael J.; Hill, Christian; Yurchenko, Sergei N.
  • Journal of Quantitative Spectroscopy and Radiative Transfer, Vol. 130
  • DOI: 10.1016/j.jqsrt.2013.05.027

Vibrational averaging of electrical properties: Development of a routine theoretical method for polyatomic molecules
journal, April 1995


H2-Broadening Coefficients in the ν4 Band of NH3
journal, March 2001

  • Bouanich, J. -P; Aroui, H.; Nouri, S.
  • Journal of Molecular Spectroscopy, Vol. 206, Issue 1
  • DOI: 10.1006/jmsp.2000.8291

The HITRAN2012 molecular spectroscopic database
journal, November 2013

  • Rothman, L. S.; Gordon, I. E.; Babikov, Y.
  • Journal of Quantitative Spectroscopy and Radiative Transfer, Vol. 130, p. 4-50
  • DOI: 10.1016/j.jqsrt.2013.07.002

IR–microwave double resonance studies of dipole moments in the ν1 and ν3 states of ammonia
journal, July 1997

  • Marshall, Mark D.; Izgi, Kamil Can; Muenter, J. S.
  • The Journal of Chemical Physics, Vol. 107, Issue 4
  • DOI: 10.1063/1.474479

New results for the temperature dependence of self-broadening and shift in the v2 ammonia band
journal, December 2000

  • Baldacchini, G.; Buffa, G.; D'Amato, F.
  • Journal of Quantitative Spectroscopy and Radiative Transfer, Vol. 67, Issue 5
  • DOI: 10.1016/S0022-4073(99)00239-3

Collisional coupling between hyperfine and Stark components of molecular spectra
journal, January 1997


Collisional Broadening Coefficients in the ν4 Band of NH3 Perturbed by He and Ar
journal, July 2000

  • Dhib, M.; Bouanich, J. -P.; Aroui, H.
  • Journal of Molecular Spectroscopy, Vol. 202, Issue 1
  • DOI: 10.1006/jmsp.2000.8112

Comparison of quantum, semi-classical and classical methods in the calculation of nitrogen self-broadened linewidths
journal, October 2012

  • Thibault, Franck; Gomez, Laura; Ivanov, Sergey V.
  • Journal of Quantitative Spectroscopy and Radiative Transfer, Vol. 113, Issue 15
  • DOI: 10.1016/j.jqsrt.2012.06.003

EXACT TRAJECTORY IN SEMICLASSICAL LINE BROADENING AND LINE SHIFTING CALCULATION TEST FOR H2–He Q(1) LINE
journal, January 1999

  • Joubert, P.; Bonamy, J.; Robert, D.
  • Journal of Quantitative Spectroscopy and Radiative Transfer, Vol. 61, Issue 1
  • DOI: 10.1016/S0022-4073(97)00187-8

Experimental and theoretical investigation of self‐broadening and self‐shifting of ammonia transition lines in the ν 2 band
journal, June 1982

  • Baldacchini, G.; Marchetti, S.; Montelatici, V.
  • The Journal of Chemical Physics, Vol. 76, Issue 11
  • DOI: 10.1063/1.442923

The Δ k  = ±2 "forbidden band" and inversion–rotation energy levels of ammonia
journal, December 1984

  • Urban, Š.; D'cunha, Romola; Rao, K. Narahari
  • Canadian Journal of Physics, Vol. 62, Issue 12
  • DOI: 10.1139/p84-223

Vibration-dependent trajectories and their effects on vibrational dephasing
journal, June 2007


Theory of the Width and Shift of Molecular Spectral Lines in Gases
journal, April 1966

  • Gordon, R. G.
  • The Journal of Chemical Physics, Vol. 44, Issue 8
  • DOI: 10.1063/1.1727183

Causal correlation functions and Fourier transforms: Application in calculating pressure induced shifts
text, January 2012

  • Ma, Qiancheng; Tipping, R. H.; Lavrentieva, Nina N.
  • Columbia University
  • DOI: 10.7916/d8jh3sb9

Effects on calculated half-widths and shifts from the line coupling for asymmetric-top molecules
text, January 2014

  • Ma, Qiancheng; Boulet, Christian; Tipping, R. H.
  • Columbia University
  • DOI: 10.7916/d80k2fcz

Refinement of the Robert-Bonamy formalism: Considering effects from the line coupling
text, January 2013

  • Ma, Qiancheng; Boulet, Christian; Tipping, R. H.
  • Columbia University
  • DOI: 10.7916/d8931007

Line mixing in parallel and perpendicular bands of CO2: A further test of the refined Robert-Bonamy formalism
text, January 2015

  • Boulet, C.; Ma, Qiancheng; Tipping, R. H.
  • Columbia University
  • DOI: 10.7916/d8w09cqg

Works referencing / citing this record:

The relaxation matrix for symmetric tops with inversion symmetry. II. Line mixing effects in the ν 1 band of NH 3
journal, June 2016

  • Boulet, C.; Ma, Q.
  • The Journal of Chemical Physics, Vol. 144, Issue 22
  • DOI: 10.1063/1.4952996

Relaxation matrix for symmetric tops with inversion symmetry: Line coupling and line mixing effects on NH 3 lines in the 𝝂 4 band
journal, April 2017

  • Ma, Q.; Boulet, C.; Tipping, R. H.
  • The Journal of Chemical Physics, Vol. 146, Issue 13
  • DOI: 10.1063/1.4979492

Line shape parameters of PH 3 transitions: Theoretical studies of self-broadened widths and line mixing effects
journal, June 2020

  • Boulet, C.; Ma, Q.
  • The Journal of Chemical Physics, Vol. 152, Issue 21
  • DOI: 10.1063/5.0008535