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Effect of orthogonalization on total ionization cross sections by electron impact: application to small molecules

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Abstract

Total ionization cross sections by electron impact are calculated for H2O, NH3 and CH4 molecules by using an improved first Born approximation which has been previously applied for atomic targets by Bartlett and Stelbovics [P.L. Bartlett, A.T. Stelbovics, Phys. Rev. A 66, 012707 (2002)]. In this model a full orthogonalization of the final state to the initial state has been performed to evaluate the cross sections. One center wave functions are employed to describe the molecular orbitals. It is shown that the results obtained in the present model are immensely improved when compared with the first Born model without orthogonalization. Furthermore, an overall agreement is also observed when a comparison is made with the experimental data.

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References

  1. P.L. Bartlett, A.T. Stelbovics, Phys. Rev. A 66, 012707 (2002)

    Article  ADS  Google Scholar 

  2. M. Inokuti, Rev. Mod. Phys. 43, 297 (1971)

    Article  ADS  Google Scholar 

  3. N.A. Azarenkov, Yu.A. Akimov, V.P. Olefir, Plasma Phys. Rep. 29, 1041 (2003)

    Article  ADS  Google Scholar 

  4. U. Amaldi, G. Kraft, Rep. Prog. Phys. 68, 1861 (2005)

    Article  ADS  Google Scholar 

  5. S.M. Bellm, C.J. Colyer, B. Lohmann, C. Champion, Phys. Rev. A 85, 022710 (2012)

    Article  ADS  Google Scholar 

  6. M. Vinodkumar, C. Limbachy, Mol. Phys. 111, 215 (2014)

    Article  ADS  Google Scholar 

  7. I.E.M.C. Carthy, A. Stelbovics, Phys. Rev. A 28, 1322 (1983)

    Article  ADS  Google Scholar 

  8. R. Srivastava, W. Willamson Jr., Phys. Rev. A 35, 103 (1987)

    Article  ADS  Google Scholar 

  9. Y.K. Kim, P.M. Stone, J. Phys. B 40, 1597 (2007)

    Article  Google Scholar 

  10. H. Deutsch, K. Becker, T.D. Mark, Int. J. Mass Spectrom. 271, 58 (2007)

    Article  Google Scholar 

  11. J.P. Santos, F. Parente, Eur. J. Phys. D 47, 339 (2008)

    Article  ADS  Google Scholar 

  12. C. Champion, J. Hanssen, P.A. Hervieux, J. Chem. Phys. 117, 197 (2002)

    Article  ADS  Google Scholar 

  13. P. Weck, B. Joulakian, P.A. Hervieux, Phys. Rev. A 60, 3013 (1999)

    Article  ADS  Google Scholar 

  14. M. Cherid, A. Lahmam-Bennani, A. Duguet, R.R. Zurales, R.W. Lucchese, M.C. Dal Cappello, C. Dal Cappello, J. Phys. B 22, 3483 (1989)

    Article  ADS  Google Scholar 

  15. J. Gao, D.H. Madison, J.L. Peacher, J. Chem. Phys. 123, 204314 (2005)

    Article  ADS  Google Scholar 

  16. J. Yang, J.P. Doering, Phys. Rev. A 63, 032717 (2001)

    Article  ADS  Google Scholar 

  17. C. Limbachy, M. Vinodkumar, M. Swadia, A. Barot, Mol. Phys. 112, 101 (2014)

    Article  ADS  Google Scholar 

  18. S.M. Younger, T.D. Märk, in Electron Impact Ionization, edited by T.D. Märk, G.H. Dunn (Springer, Berlin, 1985), Chap. 2

  19. H. Deutsch, K. Becker, R. Basner, M. Schmidt, T.D. Märk, J. Phys. Chem. A 102, 8819 (1998)

    Article  Google Scholar 

  20. Y.-K. Kim, M.E. Rudd, Phys. Rev. A 50, 3954 (1994)

    Article  ADS  Google Scholar 

  21. W. Hwang, Y.K. Kim, M.E. Rudd, J. Chem. Phys. 104, 2956 (1996)

    Article  ADS  Google Scholar 

  22. N. Nishimura, W.M. Huo, M.A. Ali, Y.K. Kim, J. Chem. Phys. 110, 3811 (1999)

    Article  ADS  Google Scholar 

  23. C. Champion, C. Dal Cappello, S. Houamer, A. Mansouri, Phys. Rev. A 73, 012717 (2006)

    Article  ADS  Google Scholar 

  24. Z. Rezkallah, S. Houamer, C. Dal Cappelo, I. Charpentier, A.C. Roy, Nucl. Instrum. Methods B 269, 2759 (2011)

    ADS  Google Scholar 

  25. J.F. Gao, D.H. Madison, J.L. Peacher, Phys. Rev. A 72, 032721 (2005)

    Article  ADS  Google Scholar 

  26. J.D. Built-Williams, S.M. Bellm, D.B. Jones, H. Chaluvadi, D.H. Madison, C.G. Ning, B. Lohmann, M.J. Brunger, J. Chem. Phys. 136, 024304 (2012)

    Article  ADS  Google Scholar 

  27. C.J. Colyer, S.M. Bellm, B. Lohmann, G.F. Hanne, O. Al-Hagan, D.H. Madison, C.G. Ning, J. Chem. Phys. 133, 124302 (2010)

    Article  ADS  Google Scholar 

  28. S.B. Zhang, X.Y. Li, J.G. Wang, Y.Z. Qu, X. Chen, Phys. Rev. A 89, 052711 (2014)

    Article  ADS  Google Scholar 

  29. P. Defrance, J. Jureta, J. Lecointre, E. Giglio, B. Gervais, C. Dal Cappello, M. Ruiz-Lopez, I. Charpentier, P.A. Hervieux, Phys. Rev. A 90, 042704 (2014)

    Article  ADS  Google Scholar 

  30. R. Moccia, J. Chem. Phys. 40, 2164 (1964)

    Article  ADS  Google Scholar 

  31. R. Moccia, J. Chem. Phys. 40, 2176 (1964)

    Article  ADS  Google Scholar 

  32. R. Moccia, J. Chem. Phys. 40, 2186 (1964)

    Article  ADS  Google Scholar 

  33. H. Trygve, P. Jorgensen, J. Olsen, Molecular Electronic Structure theory (John Wiley Sons, New York, 2000)

  34. M. Brauner, J.S. Briggs, H. Klar, J. Phys. B 22, 2265 (1989)

    Article  ADS  Google Scholar 

  35. C. Dal Cappello, Z. Rezkallah, S. Houamer, I. Charpentier, P.A. Hervieux, M.F. Ruiz-Lopez, R. Dey, A.C. Roy, Phys. Rev. A 84, 032711 (2011)

    Article  ADS  Google Scholar 

  36. C. Dal Cappello, C. Tavard, A. Lahmam-Bennani, M.C. Dal Cappello, J. Phys. B 17, 4557 (1984)

    Article  ADS  Google Scholar 

  37. A.A. Sorokin, L.A. Shmaenok, S.V. Bobashev, B. Möbus, G. Ulm, Phys. Rev. A 58, 2900 (1998)

    Article  ADS  Google Scholar 

  38. R.C. Wetzel, F.A. Baiocchi, T.R. Hayes, R.S. Freund, Phys. Rev. A 35, 559 (1987)

    Article  ADS  Google Scholar 

  39. J. Shutten, F.J. de Heer, H.R. Moustafa, A.J.H. Boerboom, J. Kistermaker, J. Chem. Phys. 44, 3924 (1966)

    Article  ADS  Google Scholar 

  40. N. LjDjuric, I.M. Cadez, M.V. Kurepa, Int. J. Mass Spectrom. Ion Phys. 83, R7 (1988)

    Article  Google Scholar 

  41. S.P. Khare, W.J. Meath, J. Phys. B 20, 2101 (1987)

    Article  ADS  Google Scholar 

  42. H.C. Straub, B.G. Lindsay, K.A. Smith, R.F. Stebbings, J. Chem. Phys. 108, 109 (1998)

    Article  ADS  Google Scholar 

  43. M.V.V.S. Rao, S.K. Srivastava, J. Phys. B 25, 2175 (1992)

    Article  ADS  Google Scholar 

  44. N. Lj Djuric, D. Belic, M.V. Kurepa, I.U. Mack, J. Rothleiner, T.D. Märk, in Proceedings of 12th International Conference on the Physics of Electronic and Atomic Collisions, Gatlinburg (North-Holland, Amsterdam, 1981), p. 384

  45. A. Crowe, J.W. McConkey, Int. J. Mass Spectrom. Ion Processes 24, 181 (1977)

    Article  ADS  Google Scholar 

  46. H. Nishimura, H. Tawara, J. Phys. B 27, 2063 (1994)

    Article  ADS  Google Scholar 

  47. O.J. Orient, S.K. Srivastava, J. Phys. B 20, 3923 (1987)

    Article  ADS  Google Scholar 

  48. S.M. Bellm, C.J. Colyer, B. Lohmann, C. Champion, Phys. Rev. A 85, 022710 (2012)

    Article  ADS  Google Scholar 

  49. S. Houamer, C. Dal Cappello, I. Charpentier, P.A. Hervieux, A.C. Roy, Phys. Rev. A 86, 026701 (2012)

    Article  ADS  Google Scholar 

  50. C. Dal Cappello, Z. Rezkallah, S. Houamer, I. Charpentier, A.C. Roy, P.A. Hervieux, M.F. Ruiz-Lopez, Eur. Phys. J. D 67, 117 (2013)

    Article  ADS  Google Scholar 

  51. I. Shafranyosh, M.I. Sukhoviya, M.I. Shafranyosh, J. Phys. B 39, 4155 (2006)

    Article  ADS  Google Scholar 

  52. V. Sadovnichy, A. Tikhonravov, Vl. Voevodin, V. Opanasenko, “Lomonosov”: Supercomputing at Moscow State University, In Contemporary High Performance Computing: From Petascale toward Exascale (Chapman & Hall/CRC Computational Science, USA, CRC Press, Boca Raton, 2013), pp. 283–307

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Nehaoua, S., Houamer, S., Dal Cappello, C. et al. Effect of orthogonalization on total ionization cross sections by electron impact: application to small molecules. Eur. Phys. J. D 69, 86 (2015). https://doi.org/10.1140/epjd/e2015-60005-0

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