Skip to main content
Log in

Analytical Approximation of Cross Sections of Collisions of Electrons with Inert Gas Atoms

  • APPLIED PHYSICS
  • Published:
Plasma Physics Reports Aims and scope Submit manuscript

Abstract

The paper presents an analysis of data on the cross sections of elastic and inelastic collisions of electrons with noble gas atoms. The transport (diffusion) cross section and the excitation and ionization cross sections are considered. Optimal analytical formulas are found for the selected sets of experimental and theoretical data, and approximation coefficients are selected for them. The obtained semi-empirical formulas make it possible to reproduce the cross sections in a wide range of collision energies from 0.001 to 10 000 eV with an accuracy of several percent.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1.
Fig. 2.
Fig. 3.
Fig. 4.
Fig. 5.

Similar content being viewed by others

REFERENCES

  1. L. G. H. Huxley and R. W. Crompton, The Diffusion and Drift of Electrons in Gases (Wiley, New York, 1974).

    Google Scholar 

  2. Z. Lj Petrović, S. Dujko, D. Marić, G. Malović, Ž. Nikitović, O. Šašić, J. Jovanović, V. Stojanović, and M. Radmilović-Rađenović, J. Phys. D: Appl. Phys. 42, 194002 (2009).

  3. E. Carbone, W. Graef, G. Hagelaar, D. Boer, M. M. Hopkins, J. C. Stephens, B. T. Yee, S. Pancheshnyi, J. van Dijk, and L. Pitchford, Atoms 9, 16 (2021). https://doi.org/10.3390/atoms9010016

    Article  ADS  Google Scholar 

  4. J. Dutton, J. Phys. Chem. Ref. Data 4, 577 (1975). https://doi.org/10.1063/1.555525

    Article  ADS  Google Scholar 

  5. A. Zecca, G. P. Karwasz, and R. S. Brusa, Riv. Nuovo Cimento Soc. Ital. Fis. 19 (3), 1 (1996). https://doi.org/10.1007/BF02742990

    Article  Google Scholar 

  6. S. Pancheshnyi, S. Biagi, M. C. Bordage, G. J. M. Hagelaar, W. L. Morgan, A. V. Phelps, and L. C. Pitchford, Chem. Phys. 398, 148 (2012).

    Article  Google Scholar 

  7. A. Okhrimovskyy, A. Bogaerts, and R. Gijbels, Phys. Rev. E 65, 037402 (2002).

  8. A. V. Khrabrov and I. D. Kaganovich, Phys. Plasmas 19, 093511 (2012).

  9. J. F. J. Janssen, L. C. Pitchford, G. J. M. Hagelaar, and J. van Dijk, Plasma Sources Sci. Technol. 25, 055026 (2016).

  10. V. Vahedi and M. Surendra, Comput. Phys. Commun. 87, 179 (1995).

    Article  ADS  Google Scholar 

  11. L. L. Alves, K. Bartschat, S. F. Biagi, M. C. Bordage, L. C. Pitchford, C. M. Ferreira, G. J. M. Hagelaar, W. L. Morgan, S. Pancheshnyi, A. V. Phelps, V. Puech, and O. Zatsarinny, J. Phys. D: Appl. Phys. 46, 334002 (2013).

  12. L. C. Pitchford, L. L. Alves, K. Bartschat, S. F. Biagi, M. C. Bordage, A. V. Phelps, C. M. Ferreira, G. J. M. Hagelaar, W. L. Morgan, S. Pancheshnyi, V. Puech, A. Stauffer, and O. Zatsarinny, J. Phys. D: Appl. Phys.46, 334001 (2013).

  13. M. C. Bordage, S. F. Biagi, L. L. Alves, K. Bartschat, S. Chowdhury, L. C. Pitchford, G. J. M. Hagelaar, W. L. Morgan, V. Puech, and O. Zatsarinny, J. Phys. D: Appl. Phys.46, 334003 (2013).

  14. R. S. Brusa, G. P. Karwasz, and A. Zecca, Z. Phys. D: At. Mol. Clusters 38, 279 (1996).

    Article  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  17. A. G. Robertson, J. Phys. B: At. Mol. Phys. 5, 648 (1972).

    Article  ADS  Google Scholar 

  18. C. Lazarou, T. Belmonte, A. S. Chiper, and G. E. Georghiou, Plasma Sources Sci. Technol. 25, 055023 (2016).

  19. R. K. Gangwar, L. Sharma, R. Srivastava, and A. D. Stauffer, Phys. Rev. A 81, 052707 (2010).

  20. S. Trajmar, D. F. Register, D. C. Cartwright, and G. Csanak, J. Phys. B: At. Mol. Opt. Phys. 25, 4889 (1992).

    Article  ADS  Google Scholar 

  21. K. T. Compton and C. C. Van Voorhis. Phys. Rev. 27, 724 (1926).

    Article  ADS  Google Scholar 

  22. G. H. Wannier, Phys. Rev. 90, 817 (1953).

    Article  ADS  Google Scholar 

  23. W. Lotz, Z. Phys. 206, 205 (1967).

    Article  ADS  Google Scholar 

  24. W. Lotz, Z. Phys. 232, 101 (1970).

    Article  ADS  Google Scholar 

  25. I. I. Sobel’man, L. A. Vainstein, and E. A. Yukov, Excitation of Atoms and Broadening of Spectral Lines (Springer Series on Atomic, Optical, and Plasma Physics, Vol. 15) (Nauka, Moscow, 1979; Springer-Verlag, Berlin, 1995).

  26. A. L. Godunov and P. B. Ivanov, Phys. Scr. 59, 277 (1999).

    Article  ADS  Google Scholar 

  27. J. B. Hasted, Physics of Atomic Collisions (Butterworths, London, 1964).

    Google Scholar 

  28. J. H. Macek and S. Yu. Ovchinnikov, Phys. Rev. A 50, 468 (1994).

    Article  ADS  Google Scholar 

  29. S. R. Hunter, J. G. Carter, and L. G. Christophorou, Phys. Rev. A. 38, 5539 (1988).

    Article  ADS  Google Scholar 

  30. S. A. Mayorov, Bull. Lebedev Phys. Inst. 36, 299 (2009).

    Article  ADS  Google Scholar 

  31. S. K. Kodanova, N. Kh. Bastykova, T. S. Ramazanov, and S. A. Maiorov, Ukr. J. Phys. 59, 371 (2014).

    Article  Google Scholar 

  32. S. A. Mayorov, Bull. Lebedev Phys. Inst. 41, 285 (2014).

    Article  ADS  Google Scholar 

  33. R. I. Golyatina and S. A. Maiorov, Plasma Phys. Rep. 44, 453 (2018).

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to S. A. Maiorov.

Ethics declarations

The authors declare that they have no conflicts of interest.

Additional information

Translated by L. Mosina

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Golyatina, R.I., Maiorov, S.A. Analytical Approximation of Cross Sections of Collisions of Electrons with Inert Gas Atoms. Plasma Phys. Rep. 48, 193–199 (2022). https://doi.org/10.1134/S1063780X2202009X

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1063780X2202009X

Keywords:

Navigation