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.. , .. «», , ­ , , . /1-2/ /1-2/. , , ­ /3/. , /3/, , . , , . /1/. , , . Backward Differential Formula (BDF) /4/. , , : , . 1. 2. 3. 4. . . .: . 1953. . 462. .. . .: . 1972, . 336. Goudsmit S., Saunderson J.L. // Phys. Rev. 1940; V.58. p.36. Peinado J., Ibaßez J., HernÀndez V., Arias E. // Procedia Comput. Sci. 2010, V. 1, P. 2569.


.. , .. , .. , .. «», , . . - /1/. - , /1/. () /2/. xin () /3/. , xinS () xinB (). () . (Handbooks), . NIST, , , . xinS () xinB () . . 1. 2. 3. .., .., ..// , 2014, . 145, . 601614. Tougaard S., Chorkendorff I. // Phys. Rev. , 1987, V. 35, P. 6570. .., .. . , , 1979, . 288. (001) Ni .. , .. . .. , , cos0/E02-2m , , S 1/Eb1-2m. , meff S 1/Eb1-2meff m = 0 (., , /1/).


meff /2/ Ar+ 1 10 . meff m = 0 (001) Ni. , /1, 2/. , "" , meff = ­0.073 (­0.086), 0.073 (0.055), ­ 0.167 (­0.155) ­0.631 (­0.452) . 5 (21 ). meff m = 0. "" meff . 1. 2. .., .. . // . 16- . " ", 25-29 2003, , . 1, . 178179. Shulga V.I. // Nucl. Instr. Meth. Phys. Res. B, 2002, V. 195, 3-4, p. 291-301.

(001) Ni .. , .. . .. , , <100> "" , 0 , "" : , , , . /1/ , , /2/. . , "" ­ , "" . , . , . , "", . 1. 2. .., .., .., .. // , 1997, 2, c. 77-92. .., .. // , 2014, 3, c. 81-92.


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.. , .. - , , , email: morozov@aie.uz () , . /1/. (Si, Ag, C, Bi, GaAs) Biq+, Csq+, Siq+, Sbq+ (q=1-7) 1­ 10 . , . 1 5,7. , , . . q = 5,7. 1. Morozov S.N. // ISSN 1027_4510, Journal of Surface Investigation. X_ray, Synchrotron and Neutron Techniques, 2012, Vol. 6, No. 4, p. 660.

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. 1. . , 90. , 1 ­ 3 . 1. 2. M. R. Sorensen, A. F. Voter // Journal of Chemical Physics, 2000, 112, 21, 9599. G. Henkelman, H. Jonsson // Journal of Chemical Physics, 2000, 113, 22, 9978. - .. 1), .. 1), C.. 2) , . , " ", . , . ,
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. AIREBO /1/ , /2/ , - - . . , . . 1. 2. S.J. Stuart, A.B. Tutein and J.A. Harrisson // Journal of Chemical Physics, 2000, V. 112, P. 6472. G. Ackland, V. Vitek // Physical Review , 1990, V. 41, 15, P. 10324.


(0001) .. , , , . 13195 (0001) Ar, Xe, Cu, Cu2 /1,2/. , , 50 400 . " / - " 6 . 5000 , . , , , /3/ Cu2, . 1. 2. 3. Eckstein W. Computer Simulation of Ion-Solid Interactions, Berlin, Springer Verlag, 1991, 320. Kornich G.V., Betz G., Zaporojtchenko V., Pugina K.V. // Surface Science, 2007, 601, 209. Kornich G.V., Betz G., Kornich V.G., Shulga V.I., Yermolenko O.A.// Nucl. Instr. and Meth., B 2011, 269, 1600. Ar .. , .. , , , . Ar . Ni-Al Cu-Au, 78 390 . 1 800 . " - " 5 . 500 , Ar.


[1]. , , , . , , . 1. Ackland G. J., Vitek V. // .Physical Review B, 1990, 41, 15, 10324 -10333.

THE FORMATION OF SODIUM NANOPARTICLES IN SODIUM-SILICATE GLASSES UNDER THE ACTION OF ELECTRON BEAM AND THERMAL TREATMENTS E.S. Bochkareva1), N.V. Nikonorov1), O.A. Podsvirov2), M.A. Prosnikov3), A.I. Sidorov1) 1) ITMO University, Kronverksky ave., 49, 197101, St. Petersburg, Russian Federation 2) St.Petersburg Polytechnical University, Polytechnicheskaya str., 29, 195251, St. Petersburg, Russian Federation 3) Ioffe Physical-Technical Institute, Russian Academy of Sciences, Polytechnicheskaya str., 26, 194021, St. Petersburg, Russian Federation It is shown experimentally that the processing the sodium-containing silicate glasses with the electron beam with electron energy 35 keV and dozes 20-65 mC/cm2 and the subsequent thermal treatment above the glass transition temperature result in the formation of the sodium nanoparticles under the glass surface that manifest themselves in the plasmon resonance absorption band in the 405-410 nm spectral region. The main mechanisms of this effect are the field migration of the positive sodium ions into the negatively charged region under the glass surface, produced by the thermalized electrons, reduction of sodium ions by the thermalized electrons, and the nanoparticles growth as a result of thermal diffusion of the sodium atoms during the thermal treatment. The results are compared with the described i n /1/. In that work the silver nanoparticles were synthesized in the silver-containing glasses by the same method and in the same conditions. The computer simulations in the dipole quasi-static approximation have shown that the most realistic model of the nanoparticle structure is the solid or liquid sodium core with two shells, ­ the inner shell consisting of sodium oxide and the external one being vacuum or gas. REFERENCE 1. O. A. Podsvirov, A. I. Sidorov, V. A. Tsekhomskii, A. V. Vostokov // Phys. Sol. St. 2010, V. 52, P. 1906.


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. , .. , .. , .. , .. , .. , .. , , Xe. . - () ( ). . , . . t=0 Xe (1415) , . LPMD[1-3]. , , . 1. 2. 3. S. Davis, C. Loyola, F. Gonzalez, J. Peralta, // JCPC 181(2010) 2126-2139. B. Batgerel, E.G. Nikonov, I.V. Puzynin // Bulletin of PFUR. No 1, 2014. pp. 47­51. . , . . , . . , // . 4. 2013. . 42­56.

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+ 40 , ( , ). , 1014 -2, . , InFeAs, Tg = 300° YF = 0.25, 3 6.3.1019 -3 1015 -2, 17 4 2/.. InFeAs, , , , (, FeAs) . Fe, , , n , .