Abstract
A theoretical description of reflection of hydrogen isotopes from a solid body based on data available in modern literature on the cross sections for elastic and inelastic scattering of ions is presented. The results of the analytical calculation are compared with the results of computer simulation and experimental data. The interaction of hydrogen isotopes with energies from 300 eV to 25 keV with materials in a wide range of atomic numbers, namely Be, C, Ti, Ni, W, Au, is considered. A critical review of existing analytical models of multiple scattering of light ions in solids is performed.
REFERENCES
V. A. Kurnaev, E. S. Mashkova, and V. A. Molchanov, Reflection of Light Ions from the Surface of a Solid (Energoatomizdat, Moscow, 1985) [in Russian].
E. S. Mashkova and V. A. Molchanov, Medium Energy Ion Reflection from Solids (North-Holland, Amsterdam, 1985).
E. S. Mashkova and V. A. Molchanov, Scattering of Medium-Energy Ions by Surfaces of Solids (Atomizdat, Moscow, 1980) [in Russian].
Yu. V. Gott, Particle–Matter Interactions in Plasma Research (Atomizdat, Moscow, 1978) [in Russian].
N. P. Kalashnikov, V. S. Remizovich, and M. I. Ryazanov, Collisions of Fast Charged Particles in Solids (Atomizdat, Moscow, 1980) [in Russian].
J. F. Ziegler, J. P. Biersack, and U. Littmark, The Stopping and Range of Ions in Solids (Pergamon, New York, 1985).
D. Goebl, D. Roth, and P. Bauer, Phys. Rev. A: At. Mol. Opt. Phys. 87, 062903 (2013). https://doi.org/10.1103/PhysRevA.87.062903
W. S. M. Werner, Surf. Interface Anal. 23, 737 (1995). https://doi.org/10.1002/sia.740231103
V. P. Afanas’ev, S. D. Fedorovich, A. V. Lubenchenko, A. A. Ryjov, and M. S. Esimov, Z. Phys. 96, 253 (1994). https://doi.org/10.1007/BF01313291
V. A. Ambartsumyan, E. R. Mustel’, A. B. Severnyi, and V. V. Sobolev, Theoretical Astrophysics, Ed. by V. A. Ambartsumyan (Gostekhizdat, Moscow, 1952; Pergamon Press, London, 1958).
S. Chandrasekhar, Radiative Transfer (Dover, New York, 1960).
U. M. Ascher and L. R. Petzold, Computer Methods for Ordinary Differential Equations and Differential-Algebraic Equations (SIAM, Philadelphia, 1998).
V. P. Afanas’ev, D. S. Efremenko, and P. S. Kaplya, J. Electron Spectrosc. Relat. Phenom. 210, 16 (2016). https://doi.org/10.1016/j.elspec.2016.04.006
F. Salvat-Pujol and W. S. M. Werner, Phys. Rev. B: Condens. Matter Mater. Phys. 83, 195416 (2011). https://doi.org/10.1103/PhysRevB.83.195416
E. Jahnke, F. Emde, and F. Lösch, Tables of Higher Functions (McGraw-Hill, New York, 1960).
V. P. Afanas’ev and L. G. Lobanova, Russ. Microelectron. 51, 210 (2022). https://doi.org/10.1134/S1063739722040035
V. P. Afanas’ev, L. G. Lobanova, and V. I. Shulga, J. Surf. Invest.: X-ray, Synchrotron Neutron Tech. 17, 78 (2023). https://doi.org/10.1134/S1027451023010032
V. A. Kurnaev and V. G. Tel’kovskii, Experimental Data on Backscattering of Charged Particles: Lecture Texts (Mosk. Inzh.-Fiz. Inst., Moscow, 1982) [in Russian].
R. A. Langley, J. Bohdansky, W. Eckstein, P. Mioduszewski, J. Roth, E. Taglauer, E. W. Thomas, H. Verbeek, and K. L. Wilson, Nucl. Fusion 24, 001 (1984). https://doi.org/10.1088/0029-5515/24/S1/001
D. Bulgadaryan, D. Sinelnikov, V. Kurnaev, N. Efimov, P. Borisyuk, and Y. Lebedinskii, Nucl. Instrum. Methods Phys. Res., Sect. B 438, 54 (2019). https://doi.org/10.1016/j.nimb.2018.10.043
D. G. Bulgadaryan, D. N. Sinelnikov, N. E. Efimov, and V. A. Kurnaev, Bull. Russ. Acad. Sci.: Phys. 84, 742 (2020). https://doi.org/10.3103/S1062873820060064
M. J. Berger, J. S. Coursey, M. A. Zucker, and J. Chang, NIST Standard Reference Database 124, Last Update to Data Content: July 2017, NISTIR 4999. Cited April 25, 2023.https://doi.org/10.18434/T4NC7P
D. Bulgadaryan, V. Kurnaev, D. Sinelnikov, and N. Efimov, J. Phys.: Conf. Ser. 941, 012022 (2017). https://doi.org/10.1088/1742-6596941/1/012022
A. Jablonski, F. Salvat, and C. J. Powell, NIST Electron Elastic-Scattering Cross-Section Database, Version 3.2, User’s Guide (National Institute of Standards and Technology, Gaithersburg, MD, 2010).
F. Salvat, A. Jablonski, and C. J. Powell, Comput. Phys. Commun. 165, 157 (2005). https://doi.org/10.1016/j.cpc.2004.09.006
I. M. Bronshtein, V. P. Pronin, and V. M. Stozharov, Fiz. Tverd. Tela 16, 2107 (1974).
I. M. Bronshtein and V. P. Pronin, Fiz. Tverd. Tela 17, 2086 (1975).
K. Gärtner and K. Hehl, Phys. Status Solidi B 94, 231 (1979). https://doi.org/10.1002/pssb.2220940126
N. F. Mott and H. S. W. Massey, The Theory of Atomic Collisions, 3rd ed. (Clarendon, Oxford, 1965).
O. B. Firsov, Sov. Phys. JETP 7, 308 (1958).
A. N. Zinoviev, P. Yu. Babenko, and K. Nordlund, N-ucl. Instr. Methods Phys. Res., Sect. B 508, 10 (2021). https://doi.org/10.1016/j.nimb.2021.10.001
H. A. Bethe, Phys. Rev. 89, 1256 (1953). https://doi.org/10.1103/PhysRev.89.1256
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This work was carried out at the Moscow Power Engineering Institute (National Research University), and supported by the Ministry of Science and Higher Education of the Russian Federation within the State assignment no. FSWF-2023-0016.
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Afanas’ev, V.P., Lobanova, L.G. Analytical Theory of Reflection of Hydrogen Isotopes of Thermonuclear Energies from Construction Materials. Plasma Phys. Rep. 50, 247–254 (2024). https://doi.org/10.1134/S1063780X2360202X
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DOI: https://doi.org/10.1134/S1063780X2360202X