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Analytical partitioning of total cross sections for electron scattering on noble gases

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Zeitschrift für Physik D Atoms, Molecules and Clusters

Abstract

Empirical analytical formulae are proposed, aiming at the description of partial cross sections for electron scattering on noble gases. Selected measurements of total, excitation and ionization cross sections for these gases have been fitted by these analytical formulae in the 20-5000 eV energy range. The elastic cross sections, obtained as the difference, compare quite well with the elastic experimental data for all gases but for helium. The difference elastic cross sections were fitted by a cross section formula derived from electron scattering on a single or double Yukawa potential in the first Born approximation. Our analysis shows a good consistency between partial and total cross sections for the four heavier gases. For helium, we suggest the possibility of large errors in the high energy part of total, elastic and excitation cross sections. The analytical expressions given in this paper allow to reproduce the total and partial cross sections within the measurement errors in a large energy range from a few tens of eV, up to several keV.

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References

  1. Mc Daniel, E.W., Mansky, E.J.: in: Advances in Atomic, Molecular, and Optical Physics. Cross Section Data, Vol. 33, p. 391. Inokuti, M. (ed.). New York: Academic Press 1994

    Google Scholar 

  2. Capitelli, M., Celiberto, R., Cacciatore, M.: in: Advances in Atomic,Molecular, and Optical Physics. Cross Section Data, Vol. 33, p. 322. Inokuti, M. (ed.). New York: Academic Press 1994

    Google Scholar 

  3. Summers, H.P.: in: Advances in Atomic, Molecular, and Optical Physics. Cross Section Data, Vol. 33, p. 275. Inokuti, M. (ed.). New York: Academic Press 1994

    Google Scholar 

  4. Ritley, K.A., McKeown, M., Lynn, K.G.: in: Positron beams for solids and surfaces. AIP Conference Proceedings, Vol. 218, p. 3. Schultz, P., Massoumi, G.R., Simpson, P.J. (eds.). New York: Academic Press 1990

    Book  Google Scholar 

  5. Märk, T.D., Dunn G.H. (eds.): Electron impact ionization. Wien, New York: Springer 1985

    Book  Google Scholar 

  6. Inokuti, M., Kimura, M., Dillon M.A., Shimamura, I.: in: Advances in Atomic, Molecular, and Optical Physics. Cross Section Data, Vol. 33, p. 215. Inokuti, M. (ed.). American Institute of Physics 1994

  7. Rudd, E.M.: Phys. Rev. A 44, 1644 (1991)

    Article  ADS  Google Scholar 

  8. Deutsch, M., Margreiter, D., Märk, T.D.: Z. Phys. D29, 31 (1994)

    Google Scholar 

  9. Shevelko, V.P., Tawara, H. J. Phys. B: At. Mol. Opt. Phys. 28, L589 (1995)

    Article  ADS  Google Scholar 

  10. Zecca, A., Karwasz, G.P., Brusa, R.S.: Phys. Rev. A 45, 2777 (1992)

    Article  ADS  Google Scholar 

  11. Zecca, A., Karwasz, G.P., Brusa, R.S.: Phys. Rev. A 46, 3877 (1992)

    Article  ADS  Google Scholar 

  12. Zeccam, A., Nogueira, J.C., Karwasz, G.P., Brusa, R.S.: J. Phys. B: At. Mol. Opt. Phys. 28, 477 (1994)

    Article  ADS  Google Scholar 

  13. March, N.H., Zecca, A., Karwasz, G.P.: Z. Phys. D 32, 93 (1994)

    Article  ADS  Google Scholar 

  14. de Heer, F.J., Jansen, R.H.J.: J. Phys. B: At. Mol. Phys. 10, 3741 (1977)

    Article  ADS  Google Scholar 

  15. de Heer, F.J., Jansen, R.H.J., van der Kaay, W.: J. Phys. B: At. Mol. Phys. 12, 979 (1979)

    Article  ADS  Google Scholar 

  16. Dalba, G., Fornasini, P., Lazzizzera, I., Ranieri, G., Zecca, A.: J. Phys. B: At. Mol. Phys. 12, 3787 (1979)

    Article  ADS  Google Scholar 

  17. Dalba, G., Fornasini, P., Grisenti, R., Lazzizzera, I., Ranieri, G., Zecca, A., Rev. Sci. Instrum. 52, 979 (1981)

    Article  ADS  Google Scholar 

  18. Zecca, A., Oss, S., Karwasz, G., Grisenti, R., Brusa, R.S.: J. Phys. B: At. Mol. Phys. 20, 5157 (1987)

    Article  ADS  Google Scholar 

  19. Zecca, A., Karwasz, G., Brusa, R.S., Grisenti, R.: J. Phys. B: At. Mol. Opt. Phys. 24, 2737 (1991)

    Article  ADS  Google Scholar 

  20. Zecca, A., Karwasz, G., Brusa, R.S. Nuovo Cimento: One century of experiments on electron-atom and molecule scattering. A critical review of integral cross sections. Part I: Atoms and Diatomic Molecules. La Rivista del Nuovo Cimento 3, 1 (1996)

    Article  Google Scholar 

  21. Nickel, J.C., Imre, K., Register, D.F., Trajmar, S.: J. Phys. B: At. Mol. Phys. 18, 125, (1985)

    Article  ADS  Google Scholar 

  22. Kanik, I., Nickel, J.C., Trajmar, S.: J. Phys. B: At. Mol. Phys. 25, 2189 (1992)

    Article  ADS  Google Scholar 

  23. Floeder, K., Fromme, D., Raith, W., Schwab, A., Sinapius, G.: J. Phys. B: At. Mol. Opt. Phys. 18, 3347 (1985).

    Article  ADS  Google Scholar 

  24. Szmytkowski, Cz.: Z. Phys. D 13, 69 (1989)

    Article  ADS  Google Scholar 

  25. Karwasz, G.: Sixteenth International Conference on the Physics of Electronic and Atomic Collisions. Abstract of Contributed papers, pp. 141—142. Dalgarno, A., Freund, R.S., Lubell, M.S., Lucatorto, T.B. (eds.). American Institute of Physics 1989

  26. Nishimura, H., Tawara, H.: J. Phys. B: At. Mol. Opt. Phys. 24, L363 (1991)

    Article  ADS  Google Scholar 

  27. Cartwright, D.C., Csanak, G., Trajmar, S., Register, D.F.: Phys. Rev. A 45, 1602 (1992)

    Article  ADS  Google Scholar 

  28. Hayashi, M., J. Phys. D: Appl. Phys. 16, 581 (1983)

    ADS  Google Scholar 

  29. Register, D.F., Trajmar, S., Steffensen, G., Cartwright, D.C.: Phys. Rev. A 29, 1793 (1984)

    Article  ADS  Google Scholar 

  30. Suzuki, T.Y., Suzuki, H., Ohtani, S., Min, B.S., Takayanagi, T., Wakiya, K.: Phys. Rev. A 49, 4578 (1994)

    Article  ADS  Google Scholar 

  31. Chutjian, A., Cartwright, D.C.: Phys. Rev. A 23, 2178 (1981)

    Article  ADS  Google Scholar 

  32. Li, G.P., Takayanagi, T., Wakiya, K., Suzuki, H., Ajiro, T., Yagi, S., Kano, S.S., Takuma, H.: Phys. Rev. A 38, 1240 (1988)

    Article  ADS  Google Scholar 

  33. Trajmar, S., Srivastava, S.K., Tanaka, H., Nishimura, H., Cartwright, D.C.: Phys. Rev. A 23, 2167 (1981)

    Article  ADS  Google Scholar 

  34. Filipovic, D., Marinkovic, B., Pejcev, V., Vuskovic, L.: Phys. Rev. A 37, 356 (1988)

    Article  ADS  Google Scholar 

  35. Suzuki, T.Y., Sakai, Y., Min, B.S., Takayanagi, T., Wakiya, K., Suzuki, H., Inaba, T., Takuma, H.: Phys. Rev. A 43, 5867 (1991)

    Article  ADS  Google Scholar 

  36. Krishnakumar, E., Srivastava, S.K.: J. Phys. B: At. Mol. Opt. Phys. 21, 1055 (1988)

    Article  ADS  Google Scholar 

  37. Nagy, P., Skutlartz, A., Schmidt, V.: J. Phys. B: At. Mol. Opt. Phys. 13, 1249 (1980)

    Article  ADS  Google Scholar 

  38. Syage, J.A.: Phys. Rev. A 46, 5666 (1992)

    Article  ADS  Google Scholar 

  39. Shah, M.B., Elliott, D.S., McCallion, P., Gilbody, H.B.: J. Phys. B 21, 2751 (1988)

    Article  ADS  Google Scholar 

  40. McCallion, P., Shah, M.B., Gilbody, H.B.: J. Phys. B 25, 1061 (1992)

    Article  ADS  Google Scholar 

  41. Straub, H.C., Renault, P., Lindsay, B.G., Smith, K.A., Stebbings, R.F.: Phys. Rev. A 52, 1115 (1995)

    Article  ADS  Google Scholar 

  42. Rudge, M.R.H.: Rev. Mod. Phys. 40, 564 (1968)

    Article  ADS  Google Scholar 

  43. Younger, S.M., Märk, T.D. in: Electron impact ionization. Mark, T.D., Dunn, G. (eds.). Berlin, Heidelberg, New York: Springer 1985

    Google Scholar 

  44. Märk, T.D.: Int. J. Mass Spectrom. Ion. Phys. 45, 125 (1982)

    Article  ADS  Google Scholar 

  45. Märk, T.D.: in: Electron impact ionization, pp. 137—197. Mark, T.D., Dunn, G.H. (eds.). Berlin, Heidelberg, New York: Springer 1985

    Book  Google Scholar 

  46. Bell, K.L., Gilbody, H.B., Hughes, J.G., Kingston, A.E., Smith, F.J.: J. Phys. Chem. Ref. Data 12, 891 (1983)

    Article  ADS  Google Scholar 

  47. Gryzinski, M.: Phys. Rev. 138 A, 336 (1965)

  48. Shyn, T.W.: Phys. Rev. A 22, 916 (1980)

    Article  ADS  Google Scholar 

  49. Register, D.F., Trajmar, S.: Phys. Rev. A 29, 1785 (1983)

    Article  ADS  Google Scholar 

  50. Srivastava, S.K., Tanaka, H., Chutjian, A., Trajmar, S.: Phys. Rev. A 23, 2156 (1981)

    Article  ADS  Google Scholar 

  51. Danjo, A.: J. Phys. B 21, 3759 (1988)

    Article  ADS  Google Scholar 

  52. Nishimura, H., Matsuda, T., Danjo, A.: J. Phys. Soc. Jpn. 56, 70 (1987)

    Article  ADS  Google Scholar 

  53. de Heer, F.J., Jansen, R.H.J.: FOM Institute for Atomic and Molecular Physics, Amsterdam Report N° 37173 (1975)

  54. Joachain, J.C.: Quantum collision theory, pp. 164—183. Amsterdam: North-Holland 1975

    Google Scholar 

  55. Ketkar, S.N., Fink, M., Bonham, R.A.: Phys. Rev. A 27, 806 (1993)

    Article  ADS  Google Scholar 

  56. Kim, Y-K.: Phys. Rev. A 28, 656 (1983)

    Article  ADS  Google Scholar 

  57. Jansen, R.H.J., de Heer, F.J., Luyken, H.J., van Wingerden, B., Blaauw, H.J.: J. Phys. B 9, 185 (1976)

    Article  ADS  Google Scholar 

  58. Dillon, M.A.: J. Chem. Phys. 63, 2035 (1975)

    Article  ADS  Google Scholar 

  59. Goruganthu, R.R., Bonham, R.A.: Phys. Rev. A 34, 103 (1986)

    Article  ADS  Google Scholar 

  60. Bonham, R.A., Iijima, T.: J. Phys. Chem. 67, 2266 (1963)

    Article  Google Scholar 

  61. Ulsh, R.C., Wellenstein, H.F., Bonham, R.A.: J. Chem. Phys. 60, 103 (1974)

    Article  ADS  Google Scholar 

  62. Liu, J.W.: J. Chem. Phys. 59, 1988 (1973)

  63. Dewangan, D.P., Walters, H.R.J.: J. Phys. B: At. Mol. Phys. 10, 637 (1977)

    Article  ADS  Google Scholar 

  64. Karwasz, G.P., Brusa, R.S., Zecca, A.: J. Phys. B: At. Mol. Opt. Phys. 28, L443 (1995)

    Article  ADS  Google Scholar 

  65. Wagenaar, R.W., de Boer, A., van Tubergen, T., Los, J., de Heer, F.J.: J. Phys. B: At. Mol. Phys. 19, 3121 (1986).

    Article  ADS  Google Scholar 

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Brusa, R.S., Karwasz, G.P. & Zecca, A. Analytical partitioning of total cross sections for electron scattering on noble gases. Z Phys D - Atoms, Molecules and Clusters 38, 279–287 (1996). https://doi.org/10.1007/s004600050092

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