Vol. 30, issue 02, article # 2

Starikov V. I. Resonance functions in the theory of collisional broadening of molecule spectral lines for low temperatures. // Optika Atmosfery i Okeana. 2017. V. 30. No. 02. P. 115-123. DOI: 10.15372/AOO20170202 [in Russian].
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Abstract:

Eleven resonance functions of the theory of the broadening of molecular lines by foreign atomic gases are calculated for very low temperatures. These functions correspond to the atom-atom potential and to the potential V(R, θ) written as a series in Legendre functions. The functions are presented in the analytical form. The calculations of the broadening coefficients γ are performed for the CO lines perturbed by the He and Ar for the temperatures T from 300 to 2 K. It is shown that the dependence γ(T) for low temperatures T is determined by the deep of the potential. For CO–He system the comparison with the experimental data is presented.

Keywords:

collisional broadening, resonance functions, low temperatures

References:

  1. Willey D.R., Bittner D.N., De Lucia F.C. Pressure broadening cross sections for H2S–He system in the temperature region between 4.3 and 1.8 K // J. Mol Spectrosc. 1989. V. 134. P. 240–242.
  2. Flatin D.C., Goyette T.M., Beaky M.M., Ball C.D., De Lucia F.C. Rotational state dependence of collision induced line broadening and shift at low temperature // J. Chem. Phys. 1999. V. 110. P. 2087–2098.
  3. Dick M.J., Drouin B.J., Pearson J.C. A collisional cooling investigation of the pressure broadening of the 110 ¬ 101 transition of water from 17 to 200 K // J. Quant. Spectrosc. Radiat. Transfer. 2009. V. 110. P. 619–627.
  4. Dick M.J., Drouin B.J., Pearson J.C. Collision cooling investigation of THz rotational of water // Phys. Rev. A. 2010. V. 81. Art. N 022706.
  5. Willey D.R., Crownover R.L., Bittner D.N., De Lucia F.C. Very low temperature spectroscopy. The pressure broadening coefficients for CO–He between 4.3 and 1.7 K // J. Chem. Phys. 1988. V. 89. P. 1923–1928.
  6. Willey D.R., Goyette T.M., Ebenstein W.L., Bittner D.N., De Lucia F.C. Collision cooling spectroscopy. Pressure broadening below 5 K // J. Chem. Phys. 1989. V. 91. P. 122–125.
  7. Beaky M.M., Goyette T.M., De Lucia F.C. Pressure broadening and line shift measurements of carbon monoxide in collision with helium from 1 to 600 kelvin // J. Chem. Phys. 1996. V. 105. P. 3994–4004.
  8. Ball C.D., Mengel M., De Lucia F.C., Woon D.E. Quantum scattering calculations for H2S–He between 1–600 K in comparison with pressure broadening, shift, and time resolved double resonance experiments // J. Chem. Phys. 1999. V. 111. P. 8893–8903.
  9. Thachuk M., Chuaqui C.E., Le Roy R.J. Linewidths and shifts of very low temperature CO in He: A challenge for theory or experiment // J. Chem. Phys. 1996. V. 105. P. 4005–4014.
  10. Petrova T.M., Solodov A.M., Solodov A.A. Starikov V.I. Vibrational dependence of an intermolecular potential for H2O–He system // J. Quant. Spectrosc. Radiat. Transfer. 2013. V. 129. P. 241–253.
  11. Starikov V.I. Ushirenie kolebatel'no-vrashhatel'nyh linij molekuly H2S davleniem odnoatomnyh gazov // Optika i spektroskopija. 2013. V. 115. P. 20–30.
  12. Tsao C.J., Curnutte B. Line-widths of pressure-broadening spectral lines // J. Quant. Spectrosc. Radiat. Transfer. 1962. V. 2. P. 41–91.
  13. Robert D., Bonamy J. Short range effects in semiclassical molecular line broadening calculations // J. Phys. (Paris). 1979. V. 40. P. 923–943.
  14. Bykov A.D., Lavrent'eva N.N., Sinica L.N. Vychislenie rezonansnyh funkcij dlja real'nyh traektorij // Optika atmosf. i okeana. 1992. V. 5, N 11. P. 1127–1132.
  15. Starikov V.I., Lavrent'eva N.N. Stolknovitel'noe ushirenie spektral'nyh linij pogloshhenija molekul atmosfernyh gazov. Tomsk: Izd-vo IOA SO RAN, 2006. 308 p.
  16. Buldyreva J., Lavrent’eva N.N., Starikov V.I. Collisional Line Broadening and Shifting of Atmospheric Gase. A practical Guide for Line Shape Modeling by Current Semi-classical Approaches. London: Imperial College Press, 2010. 300 р.
  17. Smith E.W., Giraud M., Cooper J. A semiclassical theory for spectral line broadening in molecules // J. Chem. Phys. 1976. V. 65. P. 1256–1267.
  18. Labani B., Bonamy J., Robert D., Hartmann J.-M., Taine J. Collisional broadening of rotation-vibration lines for asymmetric top molecules. I. Theoretical model for both distant and close collisions // J. Chem. Phys. 1986. V. 84. P. 4256–4267.
  19. Starikov V.I. Birezonansnye funkcii v teorii stolknovitel'nogo ushirenija spektral'nyh linij molekul // Optika i spektroskopija. 2012. V. 112. P. 27–34.
  20. Bidenharn L., Lauk Dzh. Uglovoj moment v kvantovoj fizike. M.: Mir, 1984. 647 p.
  21. Landau L.D., Lifshic E.M. Kurs teoreticheskoj fiziki. V. 1. Mehanika. M.: Nauka, 1965. 203 p.
  22. Green S. Calculation of pressure broadening parameters for the CO–He system at low temperatures // J. Chem. Phys. 1985. V. 82. P. 4548–4550.
  23. Sinclair P.M., Duggan P., Berman R., Drummond J.R., May A.D. Line broadening in the fundamental band of CO in CO–He and CO–Ar mixtures // J. Mol. Spectrosc. 1988. V. 191. P. 258–264.