Mathematical modelling of radiation defect formation processes in the materials irradiated with protons and alpha particles

  • F. F. Komarov Belarusian State University, Minsk, Belarus
  • A. I. Kupchishin Kazakh National Pedagogical University named after Abai, Almaty, Kazakhstan
  • A. A. Kuatbayeva Sh.Ualikhanov Kokshetau State University, Kokshetau, Kazakhstan
  • T. A. Shmygaleva al-Farabi Kazakh National University, Almaty, Kazakhstan
  • D. A. Katabas al-Farabi Kazakh National University, Almaty, Kazakhstan
  • A. Yu. Ryabinin al-Farabi Kazakh National University, Almaty, Kazakhstan

Abstract

 Metals and alloys still remain constructional, instrumental and other materials basis. An important factor in their properties formation are the crystalline grid nano-defects arising, in particular, in case of radiation. By the ionic bombing receiving high-quality, dense metal films and coverings on substrates could be realized. Such materials search and development rely on clear understanding nano-defects radiation creation mechanisms. In the work process of interaction protons and alpha particles with substance and radiation defects formations is considered. For calculation the cascade and probabilistic functions, the primary beaten-out atoms (PBOA) ranges, radiation defects concentration needs to execute approximating expression selection and to find approximation coefficients for interaction section. Interaction section for protons and alpha particles is calculated by Rutherford's formula. Analytical expression on cascade and probabilistic function taking into account energy losses for protons and alpha particles from recurrence relations for transition probabilities is received. The cascade and probabilistic function calculation algorithm, primary beaten-out atoms range, radiation defects concentration is given.

 
 


 

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АнглийскийИспанскийИтальянскийКазахскийКитайский ТрадКитайский УпрКорейскийРусскийТурецкийФранцузский
 
АнглийскийИспанскийИтальянскийКазахскийКитайский ТрадКитайский УпрКорейскийРусскийТурецкийФранцузский
 
 
 
 
 


 
 
 
Звуковая функция ограничена 200 символами

 

 
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Published
Dec 25, 2017
How to Cite
KOMAROV, F. F. et al. Mathematical modelling of radiation defect formation processes in the materials irradiated with protons and alpha particles. International Journal of Mathematics and Physics, [S.l.], v. 8, n. 2, p. 23-27, dec. 2017. ISSN 2409-5508. Available at: <http://ijmph.kaznu.kz/index.php/kaznu/article/view/227>. Date accessed: 11 dec. 2018.