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Model differential cross section of elastic scattering of electrons by atoms in the Monte Carlo simulation of the passage of electrons in a substance

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Abstract

A new model differential cross section is proposed for describing elastic scattering of electrons in simulating the passage of electrons through a substance by the Monte Carlo method. This differential cross section correctly describes the first and second transport scattering cross sections, but is characterized by the total elastic scattering cross section much smaller than the actual value of the total elastic scattering cross section. The application of this differential cross section makes it possible to considerably reduce the number of elastic collisions in the Monte Carlo simulation of passage of electrons in a substance and to model the passage of high-energy electrons using the individual collision model.

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References

  1. I. Kawrakow and D. W. O. Rogers, NRCC Rep. PIRS-701; http://www.irs.inms.nrc.ca/EGSnrc/EGSnrc.html.

  2. Physics Reference Manual, Version: geant4 9.2 (December 19, 2008); http://geant4.web.cern.ch/geant4/UserDocumentation/UsersGuides/PhysicsReferenceManual/fo/PhysicsReferenceManual.pdf.

  3. F. Salvat, J. M. Fernandes-Varea, and J. Sempau, in Proceedings of the Organization for Economic Cooperation and Development (OECD)/Nuclear Energy Agency (NEA) Workshop on Nuclear Fuel Behaviour during Reactivity Initiated Accident, Barcelona, 2006, NEA No. 6222; http://www.nea.fr/html/science/pubs/2006/nea6222-penelope.pdf.

  4. I. Kawrakow and A. F. Bielajew, Nucl. Instrum. Methods Phys. Res. B 134, 325 (1998).

    Article  Google Scholar 

  5. H. W. Lewis, Phys. Rev. 78, 526 (1950).

    Article  MATH  ADS  Google Scholar 

  6. R. Shimizu, Y. Kataoka, T. Ikuta, T. Koshikawa, and H. Hashimoto, J. Phys. D: Appl. Phys. 9, 101 (1976).

    Article  ADS  Google Scholar 

  7. M. Dapor, Phys. Rev. B 46, 618 (1992).

    Article  ADS  Google Scholar 

  8. A. Akkerman, J. Barak, and D. Emfietzoglou, Nucl. Instrum. Methods Phys. Res. B 227, 319 (2005).

    Article  ADS  Google Scholar 

  9. R. Shimizu and D. Ze-Jun, Rep. Prog. Phys. 55, 487 (1992).

    Article  ADS  Google Scholar 

  10. A. F. Akkerman, Modeling of Charged Particle Trajectories in Matter (Energoatomizdat, Moscow, 1991) [in Russian].

    Google Scholar 

  11. D. Lilequist, F. Salvat, R. Mayol, and J. D. Martinez, J. Appl. Phys. 65, 2431 (1989).

    Article  ADS  Google Scholar 

  12. R. Mayol and F. Salvat, At. Data Nucl. Data Tables 65, 55 (1997).

    Article  ADS  Google Scholar 

  13. A. Jablonski, F. Salvat, and C. J. Powell, J. Phys. Chem. Ref. Data 33, 409 (2004).

    Article  ADS  Google Scholar 

  14. E. G. Sheikin and V. S. Sukhomlinov, in Proceedings of the 44th Aerospace Sciences Meeting and Exhibition, Reno, 2006, AIAA Pap. 2008-1369.

  15. A. Bentabet and N. Bouarissa, Appl. Phys. A 88, 353 (2007).

    Article  ADS  Google Scholar 

  16. M. Dapor, J. Appl. Phys. 79, 8406 (1996).

    Article  ADS  Google Scholar 

  17. J. Sempau, J. M. Fernandes-Varea, E. Acosta, and F. Salvat, Nucl. Instrum. Methods Phys. Res. B 207, 107 (2003).

    Article  ADS  Google Scholar 

  18. H. K. Kim and O. Kum, J. Korean Phys. Soc. 49, 1640 (2006).

    Google Scholar 

  19. I. M. Sobol, Numerical Monte Carlo Methods (Nauka, Moscow, 1973); I. M. Sobol, A Primer for the Monte Carlo Method (CRC, Boca Raton, 1994).

    Google Scholar 

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Correspondence to E. G. Sheikin.

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Original Russian Text © E.G. Sheikin, 2010, published in Zhurnal Tekhnicheskoĭ Fiziki, 2010, Vol. 80, No. 1, pp. 3–11.

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Sheikin, E.G. Model differential cross section of elastic scattering of electrons by atoms in the Monte Carlo simulation of the passage of electrons in a substance. Tech. Phys. 55, 1–9 (2010). https://doi.org/10.1134/S1063784210010019

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