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Precise calculations in simulations of the interaction of low energy neutrons with nano-dispersed media

  • Diffraction and Scattering of Neutrons
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Abstract

We discuss properties of the interaction of slow neutrons with nano-dispersed media and their application for neutron reflectors. In order to increase the accuracy of model simulation of the interaction of neutrons with nanopowders, we perform precise quantum mechanical calculation of potential scattering of neutrons on single nanoparticles using the method of phase functions. We compare results of precise calculations with those performed within first Born approximation for nanodiamonds with the radius of 2–5 nm and for neutron energies 3 × 10-7–10-3 eV. Born approximation overestimates the probability of scattering to large angles, while the accuracy of evaluation of integral characteristics (cross sections, albedo) is acceptable. Using Monte-Carlo method, we calculate albedo of neutrons from different layers of piled up diamond nanopowder.

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References

  1. V. V. Nesvizhevsky, Phys. At. Nucl. 65, 400 (2002).

    Article  Google Scholar 

  2. V. A. Artem’ev, At. Energy. 101, 901 (2006).

    Article  Google Scholar 

  3. V. K. Ignatovich and E. P. Shabalin, Phys. At. Nucl. 70, 265 (2007).

    Article  Google Scholar 

  4. E. V. Lychagin, A. Yu. Muzychka, V. V. Nesvizhevsky, et al., Phys. Lett. B 679, 186 (2009).

    Article  ADS  Google Scholar 

  5. V. K. Ignatovich, The Physics of Ultracold Neutrons (Clarendon, Oxford, 1990).

    Google Scholar 

  6. D. I. Svergun and L. A. Feigin, X-Ray and Small-Angle Neutron Scattering (Nauka, Moscow, 1986) [in Russian].

    Google Scholar 

  7. L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, Vol. 3: Quantum Mechanics: Non-Relativistic Theory (Pergamon, New York, 1977).

    Google Scholar 

  8. V. V. Babikov, Phase-Function Method in Quantum Mechanics (Nauka, Moscow, 1976) [in Russian].

    Google Scholar 

  9. V. A. Artem’ev, N. A. Vitovskii, and V. V. Mikhnovich, Fiz. Tekh. Poluprovodn. 23, 1395 (1989).

    Google Scholar 

  10. A. E. Aleksenskii, M. V. Baidakova, A. Ya. Vul’, et al., Fiz. Tverd. Tela 39, 1125 (1997).

    Google Scholar 

  11. V. A. Artem’ev, Proc. I Int. Conf. “Functional Nanomaterials and High-Purity Materials,” Suzdal’, September 29–October 3, 2008; Perspekt. Mater., No. 6 (special issue), Part 1, 121 (December, 2008)

    Google Scholar 

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Correspondence to V. A. Artem’ev.

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Original Russian Text © V.A. Artem’ev, A.Yu. Nezvanov, V.V. Nesvizhevsky, 2016, published in Kristallografiya, 2016, Vol. 61, No. 1, pp. 93–97.

The article was translated by the authors.

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Artem’ev, V.A., Nezvanov, A.Y. & Nesvizhevsky, V.V. Precise calculations in simulations of the interaction of low energy neutrons with nano-dispersed media. Crystallogr. Rep. 61, 84–88 (2016). https://doi.org/10.1134/S1063774516010028

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  • DOI: https://doi.org/10.1134/S1063774516010028

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