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Radiative transitions in the molecular H2+ ion

, ,
Lebedev Physical Institute, Russian Academy of Sciences, Leninsky prosp. 53, Moscow, 119991, Russian Federation

A theoretical analysis was made of continuous light absorption in the visible, IR, and UV spectral ranges in a quasi-equilibrium hydrogen plasma with an effective temperature between 1500 and 25000 K. The light absorption is caused by the photodissociation of molecular H2+ ions from a large group of excited vibrational-rotational levels of the ground electronic term and by free-free radiative transitions at the collisions of protons (H+ ) with hydrogen atoms H(1s). The phototransitions under consideration take place with a change of the electronic state 2 Σ+g → 2S+u of the molecular (quasi-molecular) H2+ ion. Quantum and quasi-classical descriptions of partial photodissociation cross sections and effective photoabsorption cross sections at particle collisions were accomplished on the basis of the theory of nonadiabatic transitions between the potential energy curves of a diatomic molecule. An analytical approach is set forth to calculate the integral contribution from all possible vibrational-rotational levels to the photodissociation cross section averaged over the Boltzmann distribution function. A detailed study was made of the contribution of bound-free and free-free transitions to the total optical absorption coefficient by the H2+ system as a function of temperature and wavelength. The recently calculated values of effective phototransition cross sections and photoabsorption coefficients are presented and compared with previously available data. Emphasis is placed on considering the relative contribution of positive molecular H2+ ions and negative atomic H- ions to the total photoabsorption coefficient of quasi-equilibrium hydrogen plasmas.

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Fulltext is also available at DOI: 10.1070/PU2003v046n05ABEH001334
PACS: 31.15.−p, 31.50.Gh, 33.80.−b (all)
DOI: 10.1070/PU2003v046n05ABEH001334
URL: https://ufn.ru/en/articles/2003/5/b/
000185206600002
Citation: Lebedev V S, Presnyakov L P, Sobel’man I I "Radiative transitions in the molecular H2+ ion" Phys. Usp. 46 473–491 (2003)
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Оригинал: Лебедев В С, Пресняков Л П, Собельман И И «Радиационные переходы молекулярного иона H2+» УФН 173 491–510 (2003); DOI: 10.3367/UFNr.0173.200305b.0491

References (56) ↓ Cited by (13) Similar articles (8)

  1. Mihalas D Stellar Atmospheres 2nd ed. (San Francisco: W.H. Freeman, 1978)
  2. Unsöld A, Baschek B The New Cosmos 4th ed. (Berlin: Springer-Verlag, 1991)
  3. Frommhold L Collision-Induced Absorption in Gases (Cambridge Monographs on Atomic, Molecular, and Chemical Physics, Vol. 2, Cambridge: Cambridge Univ. Press, 1993)
  4. Allard F, Hauschildt P H Astron. J. 445 433 (1995)
  5. Borysow A, in Spectral Line Shapes Vol. 10 Proc. of the 14th ICSLS, State College, Pennsylvania, June 1998 (AIP Conf. Proc., Vol. 467, Ed. R M Herman, New York: American Institute of Physics, 1999) p. 459
  6. Jørgensen U G (Ed.) Molecules in the Stellar Environment: Proc. of IAU Colloq. No. 146, Copenhagen, Denmark, May 24 – 29, 1993 (Lecture Notes in Physics, Vol. 428, Berlin: Springer-Verlag, 1994)
  7. Kramers H A, Ter Haar D Bull. Astron. Inst. Neth. 10 137 (1946)
  8. Jablonski A Phys. Rev. 68 78 (1945)
  9. Bates D R Mon. Not. R. Astron. Soc. 111 303 (1951)
  10. Wildt R Observatory 64 195 (1942); Astron. J. 54 139 (1949)
  11. Bates D R J. Chem. Phys. 19 1122 (1951)
  12. Bates D R Mon. Not. R. Astron. Soc. 112 40 (1952)
  13. Bates D R, Ledsham K, Stewart A L Philos. Trans. R. Soc. London Ser. A 246 215 (1953)
  14. Bishop D M, Cheung L M J. Phys. B: At. Mol. Phys. 11 3133 (1978)
  15. Buckingham R A, Reid S, Spence R Mon. Not. R. Astron. Soc. 112 382 (1952)
  16. Gingerich O J, in Proc. First Harvard-Smithsonian Conf. on Stellar Atmospheres (SAO Special Report, No. 167, Eds E H Avrett, O J Gingerich, C A Whitney, Cambridge: Smithsonian Inst. Astrophys. Observ., 1964) p. 17; Gingerich O et al. Solar Phys. 18 347 (1971)
  17. Kurucz R L ATLAS: A Computer Program for Calculating Model Stellar Atmospheres (SAO Special Report, No. 309, Cambridge: Smithsonian Inst. Astrophys. Observ., 1970) p. 15
  18. Drukarev G P, Mikhailov A A Opt. Spektrosk. 37 384 (1974)
  19. Mihajlov A A, Dimitrijević M S Astron. Astrophys. 155 319 (1986); 256 305 (1992)
  20. Mihajlov A A, Dimitrijević M S, Ignatović L M Astron. Astrophys. 276 187 (1993)
  21. Lebedev V S, Presnyakov L P, Sobel’man I I Astron. Zh. 77 390 (2000) [Astron. Rep. 44 338 (2000)]
  22. Lebedev V S, Presnyakov L P, Sobel’man I I Pis’ma Zh. Eksp. Teor. Fiz. 72 256 (2000) [JETP Lett. 72 178 (2000)]
  23. Lebedev V S, Presnyakov L P J. Phys. B: At. Mol. Opt. Phys. 35 4347 (2002)
  24. Dunn G H, in Atomic Collision Processes: Proc. of the 3rd Intern. Conf. on the Physics of Electronic and Atomic Collisions, London, 22 – 26 July 1963 (Ed. M R C McDowell, Amsterdam: North-Holland, 1964) p. 997
  25. von Busch F, Dunn G H Phys. Rev. A 5 1726 (1972)
  26. Oksyuk Yu D Opt. Spektrosk. 23 213 (1967) [Opt. Spectrosc. 23 115 (1967)]
  27. Dunn G H Phys. Rev. 172 1 (1968)
  28. Argyros J D J. Phys. B: At. Mol. Phys. 7 2025 (1974)
  29. Stancil P C Astrophys. J. 430 360 (1994)
  30. Kirby K, van Dishoeck E F Adv. Atom. Mol. Phys. 25 437 (1988)
  31. Sobel’man I I Vvedenie v Teoriyu Atomnykh Spektrov (Introduction to the Theory of Atomic Spectra) 2nd ed. (Moscow: Nauka, 1977) [Translated into English: Atomic Spectra and Radiative Transitions (Berlin: Springer-Verlag, 1979)]
  32. Lebedev V S, Marchenko V S Tr. Fiz. Inst. Akad. Nauk SSSR 145 79 (1984)
  33. Landau L D, Lifshitz E M Statisticheskaya Fizika (Statistical Physics) Pt. 1 (Moscow: Nauka, 1976) [Translated into English (Oxford: Pergamon Press, 1980)]
  34. Lebedev V S, Marchenko V S Khim. Fiz. 1 1589 (1982)
  35. Landau L D Phys. Z. Sowjetunion 1 88 (1932)
  36. Landau L D, Lifshitz E M Kvantovaya Mekhanika: Nerelyativistskaya Teoriya (Quantum Mechanics: Non-Relativistic Theory, Moscow: Nauka, 1974) [Translated into English (Oxford: Pergamon Press, 1977)]
  37. Rice O K J. Chem. Phys. 1 375 (1933)
  38. Miller W H J. Chem. Phys. 48 464 (1968)
  39. Nikitin E E, Ovchinnikova M Ya Usp. Fiz. Nauk 104 379 (1971) [Sov. Phys. Usp. 14 394 (1971)]
  40. Child M S Mol. Phys. 29 1421 (1975)
  41. Bieniek R J Phys. Rev. A 15 1513 (1977)
  42. Connor J N L J. Chem. Phys. 74 1047 (1981)
  43. Zhu C, Nakamura H J. Chem. Phys. 101 10630 (1994)
  44. Nikitin E E, Umanskii S Ya Neadiabaticheskie Perekhody pri Medlennykh Atomnykh Stolknoveniyakh (Nonadiabatic Transitions at Slow Atomic Collisions, Moscow: Atomizdat, 1979) [Translated into English: Theory of Slow Atomic Collisions (New York: Springer-Verlag, 1984)]
  45. Abramowitz M, Stegun I A (Eds) Handbook of Mathematical Functions, with Formulas, Graphs and Mathematical Tables (New York: Dover Publ., 1965) [Translated into Russian (Moscow: Nauka, 1979)]
  46. Ostroukhova I, Shlyapnikov G V Zh. Eksp. Teor. Fiz. 77 483 (1979) [Sov. Phys. JETP 50 245 (1979)]
  47. Papernov S M, Shlyapnikov G V, Yanson M L Dokl. Akad. Nauk SSSR 238 324 (1978)
  48. Yuan J-M, Bhattacharyya D K, George T F Mol. Phys. 47 1195 (1982)
  49. Lebedev V S J. Phys. B: At. Mol. Opt. Phys. 24 1993 (1991)
  50. Lebedev V S Phys. Reviews (Ed. I M Khalatnikov) 21 (Pt. 1) 1 (2001)
  51. Lebedev V S, Beigman I L Physics of Highly Excited Atoms and Ions (Springer Ser. on Atoms + Plasmas, Vol. 22, Berlin: Springer-Verlag, 1998)
  52. Wind H J. Chem. Phys. 42 2371; 43 2956 (1965)
  53. Huber K P, Herzberg G Molecular Spectra and Molecular Structure. IV. Constants of Diatomic Molecules (New York: Van Nostrand, 1979) [Translated into Russian (Moscow: Mir, 1984)]
  54. Gurvich L V et al. Termodinamicheskie Svoistva Individual’nykh Veshchestv (Thermodynamic Properties of Individual Substances) Vol. 1, Book 2 (Ed.-in-Chief V P Glushko) 3rd ed. (Moscow: Nauka, 1979)
  55. Venuti M, Decleva P J. Phys. B: At. Mol. Opt. Phys. 30 4839 (1997)
  56. Bell K L, Berrington K A J. Phys. B: At. Mol. Phys. 20 801 (1987)
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