Skip to main content
Log in

Aspects of Modeling the Electron Probe Heating of a Semiconductor Target

  • Published:
Bulletin of the Russian Academy of Sciences: Physics Aims and scope

Abstract

The problem of heat distribution in semiconductor materials irradiated by finely focused electron beams with no exchange of heat between the target and environment is investigated by means of mathematical modeling. In quantitatively describing the energy loss of probe electrons, a model applicable to a wide range of solids and primary electron energies is used that describes separately the contributions from absorbed and backscattered electrons to the energy dissipated in the target. The nonmonotonic dependence of the maximum target heating temperature on the primary electron energy is explained using aspects of the proposed approach. Some results are illustrated using the example of semiconductor electronic materials.

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.

Similar content being viewed by others

References

  1. Scanning Microscopy for Nanotechnology. Techniques and Applications, Zhou, W. and Wang, Z.L., Eds., New York: Springer, 2007.

    Google Scholar 

  2. Stepovich, M.A., Doctoral (Phys.–Math.) Dissertation, Moscow: Bauman Moscow State Technical Univ., 2003.

    Google Scholar 

  3. Rau, E.I., Ditsman, S.A., Zaitsev, S.V., Lermontov, N.V., Luk’yanov, A.E., and Kupreenko, S.Yu., Bull. Russ. Acad. Sci.: Phys., 2013, vol. 77, no. 8, p. 951.

    Article  Google Scholar 

  4. Amrastanov, A.N., Kuzin, A.Yu., Mityukhlyaev, V.B., Seregina, E.V., Stepovich, M.A., Todua, P.A., and Filippov, M.N., Meas. Tech., 2017, vol. 60, no. 6, p. 534.

    Article  Google Scholar 

  5. Moss, T.S., Burrel, G.J., and Ellis, B., Semiconductor Opto-Electronics, Butterworth-Heinemann, 1972.

    Google Scholar 

  6. Mikheev, N.N., Petrov, V.I., and Stepovich, M.A., Bull. Acad. Sci. USSR. Phys. Ser., 1991, vol. 55, no. 8, p. 1.

    Google Scholar 

  7. Mikheev, N.N. and Stepovich, M., Ind. Lab., 1996, vol. 62, no. 4, p. 221.

    Google Scholar 

  8. Gvozdover, R.S., Petrov, V.I., Podtyazhkin, E.Ya., Stepovich, M.A., and Filippov, M.N., Izv. Akad. Nauk SSSR. Ser. Fiz., 1984, vol. 48, no. 12, p. 2378.

    Google Scholar 

  9. Dyukov, V.G., Nepiiko, S.A., and Sedov, N.N., Elektronnaya mikroskopiya lokal’nykh potentsialov (Electron Microscopy of Local Potentials), Kiev: Naukova Dumka, 1991.

    Google Scholar 

  10. Makarov, V.V., Zh. Tekh. Fiz., 1978, vol. 48, no. 5, p. 551.

    Google Scholar 

  11. Microanalysis and Scanning Electron Microscopy, Maurice, F., Meny, L., and Tixier, R., Eds., Les Editions De Physique, 1979.

    Google Scholar 

  12. Practical Scanning Electron Microscopy: Electron and Ion Microprobe Analysis, Goldstein, J. and Yakowitz, H., Eds., Plenum, 1975.

    Google Scholar 

  13. Ryazanov, M.I. and Tilinin, I.S., Issledovanie poverkhnosti po obratnomu rasseyaniyu chastits (Surface Analysis by Particle Backscattering), Moscow: Energoatomizdat, 1985.

    Google Scholar 

  14. Fizicheskie osnovy rentgenospektral’nogo lokal’nogo analiza (Physical Foundations of X-Ray Electron Probe Analysis), Borovskii, I.B., Ed., Moscow: Nauka, 1973.

    Google Scholar 

  15. Konnikov, S.G. and Sidorov, A.F., Elektronnozondovye metody issledovaniya poluprovodnikovykh materialov i priborov (Electron Probe Methods for Analysis of Semiconductor Materials and Devices), Moscow: Energiya, 1978.

    Google Scholar 

  16. Borovskii, I.B., Vodovatov, F.F., Zhukov, A.A., and Cherepin, V.T., Lokal’nye metody analiza materialov (Electron Probe Analysis of Materials), Moscow: Metallurgiya, 1973.

    Google Scholar 

  17. Filippov, M.N., Izv. Ross. Akad. Nauk. Ser. Fiz., 1993, no. 8, p. 163.

    Google Scholar 

  18. Amrastanov, A.N., Ginzgeymer, S.A., Stepovich, M.A., and Filippov, M.N., Bull. Russ. Acad. Sci.: Phys., 2016, vol. 80, no. 10, p. 1290.

    Article  Google Scholar 

  19. Tikhonov, A.N. and Samarskii, A.A., Uravneniya matematicheskoi fiziki (Equations of Mathematical Physics), Moscow: Mosk. Gos. Univ., 1999.

    Google Scholar 

  20. Bogolyubov, A.N., Levashova, N.T., Mogilevskii, I.E., Mukhartova, Yu.V., and Shapkina, N.E., Funktsiya Grina operatora Laplasa. Uchebnoe posobie (Green Function of the Laplacian Operator. Textbook), Moscow: Mosk. Gos. Univ., 2012.

    Google Scholar 

  21. Levich, V.G., Kurs teoreticheskoi fiziki (Theoretical Physics), Moscow: Fizmatgiz, 1962, vol. 1.

  22. Levich, V.G., Kurs teoreticheskoi fiziki (Theoretical Physics), Moscow: Fizmatgiz, 1962, vol. 2.

  23. Lifshitz, E.M. and Pitaevskii, L.P., Fizicheskaya kinetika (Physical Kinetics), Moscow: Nauka, 1979.

    Google Scholar 

  24. Sobol’, I.M., Chislennye metody Monte-Karlo (Numerical Monte Carlo Methods), Moscow: Nauka, 1973.

    MATH  Google Scholar 

  25. Lebed’, V.I. and Afonin, V.P., in Rentgenovskaya i elektronnaya spektroskopiya (X-Ray and Electron Spectroscopy), Chernogolovka: Inst. Fiz. Tverdogo Tela, 1985, p. 29.

    Google Scholar 

  26. Joy, D.C., Monte Carlo Modeling for Electron Microscopy and Microanalysis, Oxford Univ. Press, 1995.

    Google Scholar 

  27. Kanaya, K. and Okayama, S., J. Phys. D, 1972, vol. 5, no. 1, p. 43.

    Article  ADS  Google Scholar 

  28. Babichev, A.P., Babushkina, N.A., Bratkovskii, A.M., et al., Fizicheskie velichiny: Spravochnik (Physical Quantities: Handbook), Grigor’ev, I.S. and Meilikhov, E.Z., Eds., Moscow: Energoatomizdat, 1991.

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to A. N. Amrastanov.

Additional information

Original Russian Text © A.N. Amrastanov, E.V. Seregina, M.A. Stepovich, 2018, published in Izvestiya Rossiiskoi Akademii Nauk, Seriya Fizicheskaya, 2018, Vol. 82, No. 9, pp. 1304–1309.

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Amrastanov, A.N., Seregina, E.V. & Stepovich, M.A. Aspects of Modeling the Electron Probe Heating of a Semiconductor Target. Bull. Russ. Acad. Sci. Phys. 82, 1187–1192 (2018). https://doi.org/10.3103/S1062873818090034

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.3103/S1062873818090034

Navigation