A Review of some Theoretical Models for Point Defect Calculations

Article Preview

Abstract:

A Brief Sketch of Different Models for the Calculation of Defect Parameters in Metals and Alloys, Comparison of Data and Limitations Has Been Reviewed here; Especially Relaxations due to a Vacancy Type of Point Defect, its Formation, Migration, Activation Energies and Related other Parameters Based upon the Present Experimental Status. the Models Reviewed Are the Bond Model, Continuum Model, Semi-Discrete Model, Jellium Model, Thermodynamic Model, Lattice Statics Model, Atomistic Continuum Model and Pseudopotential Model. the Main Thrust Concerns the Last Model. the Taylor, Vashishta and Singwi, Harrison, Kleinmann and King and Kutler Form of Exchange and Correlation Function Are Almost Similar, Give Moderate Results and May Be Trusted for Better Results.

You might also be interested in these eBooks

Info:

Periodical:

Pages:

81-0

Citation:

Online since:

July 2012

Authors:

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2012 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

[1] Vacancies '76, ed. R. E. Smallman and J. E. Harris (The Metal Society, 1976).

Google Scholar

[2] R. A. Jhonson, Journal of Physics F, 3 (1992) 295.

Google Scholar

[3] H. B. Huntington and F. Seitz, Physical Review, 61 (1942) 315.

Google Scholar

[4] H. B. Huntington, Physical Review, 61 (1942) 325.

Google Scholar

[5] M. W. Thompson, Defects and radiation damage in metals (Cambridge University Press, 1968).

Google Scholar

[6] N. F. Mott and F. R. N. Nabarro, Proceedings of the Physical Society, 52 (1940) 86.

Google Scholar

[7] H. B. Huntington, Physical Review, 91 (1953) 1092.

Google Scholar

[8] H. B. Huntington, Acta Metallurgica, 2 (1954) 554.

Google Scholar

[9] C. Zener, Acta Crystallographica, 33 (1950) 46.

Google Scholar

[10] G. J. Dienes and J. H. Bartlett, Physical Review, 89 (1953) 848.

Google Scholar

[11] L. Tewordt, Physical Review, 109 (1958) 61.

Google Scholar

[12] J. D. Eshalby, Journal of Applied Physics, 25 (1954) 255.

Google Scholar

[13] A. Seeger and E. Mann, Journal of Physics and Chemistry of Solids, 12 (1960) 326.

Google Scholar

[14] A. Seeger, E. Mann and R. Von Jan, Journal of Physics and Chemistry of Solids, 23 (1962) 639.

Google Scholar

[15] G. Schottky, Z. Physik, 159 (1960) 584.

Google Scholar

[16] G. Schottky, A. Seeger and G. Schinid, Physica Status Solidi, 4 (1964) 419.

Google Scholar

[17] J. B. Gibson, A. N. Goland, M. Milgram and G. H. Vineyard, Physical Review, 120 (1960) 1229.

Google Scholar

[18] K. H. Bennemann, Physical Review, 124 (1961) 669.

Google Scholar

[19] R. A. Johnson and E. Brown, Physical Review, 127 (1962) 446.

Google Scholar

[20] L. A. Girifalco and V. G. Weizer, Physical Review, 114 (1959), 687.

Google Scholar

[21] V. G. Weizer and L. A. Girifalco, Physical Review, 120 (1960), 837.

Google Scholar

[22] A. C. Damask, G. J. Dienes and V. G. Weizer, Physical Review, 113 (1959) 781.

Google Scholar

[23] P. Hoekstra and D. R. Behrendt, Physical Review, 128 (1962) 560.

Google Scholar

[24] M. Doyama and R. M. Cotterill, Physical Review, 137 (1965) A994.

Google Scholar

[25] M. Doyama and R. M. Cotterill, in: Lattice defects and their interactions, edited by R. R. Hasiguti (Gordon and Breach, NY, 1967), p.79.

Google Scholar

[26] P. Wynblatt, Journal of Physics and Chemistry of Solids, 29 (1968) 215.

Google Scholar

[27] A. DePino, D. G. Doran and J. R. Beeler, Radiation Effects, 3 (1970) 23.

Google Scholar

[28] A. Scholz and C. Lehmann, Physical Review B, 6 (1972) 813.

Google Scholar

[29] R. A. Jhonson, Physical Review, 134 (1964) A1329.

Google Scholar

[30] R. A. Jhonson, Journal of Physics and Chemistry of Solids, 28 (1967) 275.

Google Scholar

[31] R. A. Jhonson, Physical Review B, 27 (1983) (2014).

Google Scholar

[32] R. A. Jhonson and W. D. Wilson, Interatomic potentials and simulation of lattice defects, ed. P. C. Gehlen et. al. (Plenum, NY, 1972), p.301.

Google Scholar

[33] F. G. Fumi, Philosophical Magazine, 46 (1955) 1007.

Google Scholar

[34] M. J. Stott, S. Baranovsky and N. H. March, Proceedings of the Royal Society A, 316 (1970) 201.

Google Scholar

[35] M. Manninen, R. Nieminen, P. Hautojarvi and J. Arponen, Physical Review B, 12 (1975) 4012.

Google Scholar

[36] R. Evans and M. W. Finnis, Journal of Physics F, 6 (1976) 483.

Google Scholar

[37] G. Allen and M. Lannoo, Journal of Physics and Chemistry of Solids, 37 (1976) 699.

Google Scholar

[38] K. Masuda, Physica Status Solidi B, 116 (1983) 9.

Google Scholar

[39] M. Doyama and J. S. Koehler, Acta Metallurgica, 24 (1976) 871.

Google Scholar

[40] G. Berces and I. Kovacs, Philosphical Magazine A, 48 (1983) 883.

Google Scholar

[41] S. M. Kim, Physical Review B, 30 (1984) 4029.

Google Scholar

[42] S. M. K. im, Physical Review B, 29 (1984) 2356.

Google Scholar

[43] H. Kanzaki, Journal of Physics and Chemistry of Solids, 2 (1957) 24.

Google Scholar

[44] M. Born and K. Huang, Dynamical theory of crystal lattice (Oxford Univ. Press, 1954).

Google Scholar

[45] G. L. Hall, Journal of Physics and Chemistry of Solids, 3 (1957) 210.

Google Scholar

[46] J. R. Hardy, Journal of Physics and Chemistry of Solids, 15 (1960) 39.

Google Scholar

[47] J. R. Hardy and R. Bullough, Philosphical Magazine, 15 (1967) 237.

Google Scholar

[48] R. Bullough and J. R. Hardy, Philosphical Magazine, 17 (1968) 883.

Google Scholar

[49] J. W. Flocken and J. R. Hardy, Physical Review, 177 (1969) 1054.

Google Scholar

[50] J. W. Flocken, Physical Review B, 4 (1971) 1187.

Google Scholar

[51] L. L. Boyer and J. R. Hardy, Philosphical Magazine, 26 (1972) 225.

Google Scholar

[52] P. N. Kenny, A. J. Trott and P. T. Heald, Journal of Physics F, 3 (1973) 513.

Google Scholar

[53] V. K. Tewary, Advances in Physics, 22 (1973) 757.

Google Scholar

[54] S. P. Singhal, Physical Review B, 8 (1973) 3641.

Google Scholar

[55] Z. D. Popovic and J. P. Carbotte, Journal of Physics F, 4 (1974) 1599.

Google Scholar

[56] K. M. Miller and P. T. Heald, Physica Status Solidi B, 78 (1976) 341.

Google Scholar

[57] H. R. Schober and K. W. Ingle, Journal of Physics F, 10 (1980) 575.

Google Scholar

[58] S. K. Sen and M. B. Dutt, Physica Status Solidi B, 102 (1980) 585.

Google Scholar

[59] P. Vargas and H. Kronmuller, Crystal Lattice Defects and Amorphous Materials, 11 (1985) 59.

Google Scholar

[60] J. P. Davis and P. Rabinowitz, Methods of numerical integration (Academic Press, NY, 1975).

Google Scholar

[61] G. W. Lehmann, T. Wolfram and R. E. Dewames, Physical Review, 128 (1962) 1593.

Google Scholar

[62] A. Ghorai and S. K. Sen, Physica Status Solidi B, 139 (1987) 77.

Google Scholar

[63] B. N. Brockhouse, T. Arase, G. Caglioti, K. R. Rao and A. S. B. Woods, Physical Review, 128 (1962) 1099.

Google Scholar

[64] R. A. Reese, S. K. Sinha, D. T. Peterson, Physical Review B, 8 (1973) 1332.

Google Scholar

[65] S. K. Sinha, Physical Review, 143 (1966) 422.

Google Scholar

[66] Kamitakahara and B. N. Brockhouse, Physics Letters A, 29 (1969) 689.

Google Scholar

[67] J. W. Lynn, H. G. Smith and R. M. Nicklow, Physical Review B, 8 (1973) 3493.

Google Scholar

[68] Stedman and Nilson, Physical Review, 145 (1966) 492.

Google Scholar

[69] C. Stassis, C. K. Loong and C. Theisen, Physical Review B, 26 (1982) 4106.

Google Scholar

[70] C. Stassis, T. Gould, O. D. McMasters and K. A. Gschneidner, Jr. Physical Review B, 19 (1979) 5746.

Google Scholar

[71] C. Stassis, J. Zaretsky, D. K. Misemer, H. L. Skriver and B. N. Harmon, Physical Review B, 27 (1983) 3303.

DOI: 10.1103/physrevb.27.3303

Google Scholar

[72] U. Buchenau, M. Heiroth and H. R. Schober, Physical Review B, 30 (1984) 3502.

Google Scholar

[73] Miller and B. N. Brockhouse, Physical Review Letters, 20 (1968) 798.

Google Scholar

[74] R. J. Birgeneau, J. Cordes, G. Dolling, and A. D. B. Woods, Physical Review A, 136 (1964) 1359.

Google Scholar

[75] A. Ghorai and S. K. Sen, Journal of Physics F, 16 (1986) 271.

Google Scholar

[76] L. Kornblit, Physica Status Solidi B, 115 (1983) 485.

Google Scholar

[77] W. Schule and R. Scholz, Point defects and defect interactions in metals, eds. J. Takamura, M. Doyama and M. Kiritani (North-Holland, Amsterdam, Univ. Tokyo Press, 1982), p.257.

Google Scholar

[78] A. Ghorai, Physica Status Solidi B, 167 (1991) 551.

Google Scholar

[79] L. Kornblit, Physical Review B, 17 (1978) 575.

Google Scholar

[80] L. Kornblit, Physical Review B, 22 (1980) 1866.

Google Scholar

[81] L. Kornblit, Physica B, 112 (1982) 45.

Google Scholar

[82] R. A. Jhonson, Physical Review B, 6 (1972) (2094).

Google Scholar

[83] Y. Hara and S. Nanao, Point defects and defect interactions in metals, eds. J. Takamura, M. Doyama and M. Kiritani (North-Holland, Amsterdam, Univ. Tokyo Press, 1982), p.595.

Google Scholar

[84] A. Seeger, Journal of Physics F, 3 (1973) 248.

Google Scholar

[85] S. M. Kim, J. A. Jackman and W. J. L. Buyers, Journal of Physics F, 14 (1984) 2323.

Google Scholar

[86] W. A. Harrison, Pseudopotentials in the theory of metals (Benjamin, NY, 1966).

Google Scholar

[87] W. A. Harrison, Interatomic potentials and simulations of lattice defects, ed. P. C. Gehlen et. al. (Plenum, NY, 1972), p.69.

Google Scholar

[88] W. A. Harrison and J. M. Wills, Physical Review B, 25 (1982) 5007.

Google Scholar

[89] M. Cohen and V. Heine, Solid State Phys. eds. H. Ehrenreich, F. Seitz and D. Turnbull (Academic, Inc. NY) 24 (1970) 55.

Google Scholar

[90] P. S. Ho, Physical Review B, 3 (1971) 4035.

Google Scholar

[91] R. Chang and L. M. Falicov, Journal of Physics and Chemistry of Solids, 32 (1971) 4651.

Google Scholar

[92] R. Evans, Vacancies '76, ed. R. E. Smallman and J. E. Harris (The Metal Society, 1976), p.45.

Google Scholar

[93] A. R. DuCharme and H. T. Weaver, Physical Review B, 5 (1972) 330.

Google Scholar

[94] R. Yamamoto and M. Doyama, Journal of Physics F, 3 (1973) 1524.

Google Scholar

[95] O. Takai, R. Yamamoto, M. Doyama and Y. Hisamatsu, Physical Review B, 10 (1974) 3113.

Google Scholar

[96] O. Takai, M. Doyama and Y. Hisamatsu, Point defects and defect interactions in metals, eds. J. Takamura, M. Doyama and M. Kiritani (North-Holland, Amsterdam, Univ. Tokyo Press, 1982), p.117.

Google Scholar

[97] D. M. Bylander and L. Kleinman, Physical Review B, 27 (1983) 3152.

Google Scholar

[98] N. Q. Lam, L. Dagens and N. V. Doan, Journal of Physics F, 13 (1983) 2503.

Google Scholar

[99] C. Regnaut, E. Fusco and J. P. Badiali, Physical Review B, 31 (1985) 771.

Google Scholar

[100] N. W. Ashcroft, Physics Letters, 23 (1966) 48.

Google Scholar

[101] I. Abarenkov and V. Heine, Philosophical Magazine, 12 (1965) 529.

Google Scholar

[102] J. Bardeen, Physical Review B, 52 (1937) 688.

Google Scholar

[103] J. M. Ziman, Advances in Physics, 16 (1967) 551.

Google Scholar

[104] R. Bertoncini and F. Meloni, Journal of Physics C, 17 (1984) 2705.

Google Scholar

[105] K. Fuchs, Proceedings of the Royal Society A, 151 (1935) 585.

Google Scholar

[106] S. K. Sen and A. Ghorai, Philosophical Magazine A, 59 (1989) 707.

Google Scholar

[107] A. Ghorai, Physical Review B, 46 (1992) 5229.

Google Scholar

[108] G. Neumann and W. Hirschwald, Physica Status Solidi B, 55 (1973) 99.

Google Scholar

[109] G. Neumann, DIMETA-82, eds. F. J. Kedves and D. L. Beke, Diffusion and defect monograph series, Trans. Tech. Pub. 1983), p.7.

Google Scholar

[110] A. D. LeClaire, Philosophical Magazine, 7 (1962) 141.

Google Scholar

[111] H. Hubbard, Proceedings of the Royal Society A, 243 (1958) 336.

Google Scholar

[112] L. J. Sham, Proceedings of the Royal Society A, 283 (1965) 33.

Google Scholar

[113] D. J. W. Geldert and S. H. Vosko, Canadian Journal of Physics, 44 (1965) 2137.

Google Scholar

[114] L. Kleinman, Physical Review, 172 (1968) 383.

Google Scholar

[115] P. Vashishta and K. S. Singwi, Physical Review B, 6 (1972) 875.

Google Scholar

[116] R. W. Shaw and R. Pynn, Journal of Physics C, 2 (1969) (2071).

Google Scholar

[117] S. D. Mahanti and T. P. Das, Physical Review B, 3 (1971) 1599.

Google Scholar

[118] W. F. King III and P. H. Kutler, Physical Review B, 2 (1971) 1733; 3 (1971) 2485.

Google Scholar

[119] R. Taylor, Journal of Physics F, 8 (1978) 1699.

Google Scholar

[120] A. Seeger, G. Schottky and D. Schumacher, Physica Status Solidi B, 11 (1965) 363.

Google Scholar

[121] H. Mehrer and A. Seeger, Physica Status Solidi B, 39 (1970) 647.

Google Scholar

[122] A. Seeger, D. Wolf and H. Mehrer, Physica Status Solidi B, 48 (1971) 481.

Google Scholar

[123] A. Ghorai, Indian Journal of Pure and Applied Physics, 32 (1994) 508.

Google Scholar

[124] A. Ghorai, Journal of Technology, 34 (1997) 47.

Google Scholar

[125] A. Ghorai, Indian Journal of Physics B, 73 (1999) 317.

Google Scholar

[126] A. Ghorai, Defect and Diffusion Forum, 280-281 (2088) 79.

Google Scholar

[127] A. Ghorai, Defect and Diffusion Forum, 278 (2008) 25.

Google Scholar

[128] A. Ghorai, Defect and Diffusion Forum, 293 (2009) 11.

Google Scholar

[129] A. Ghorai, Defect and Diffusion Forum, 294 (2009) 113.

Google Scholar

[130] M. S. Duesbery and R. Taylor: Solid State Communications, A30 (1969) 496.

Google Scholar

[131] T. Korhonen, M. J. Puska and R. M. Nieminen, Physical Review B, 51 (1995) 9526.

Google Scholar

[132] J. P. A. Westerveld, D. M. R. Lo Casio, H. Bakker, B. O. Loopstra and K. Goubitz, Journal of Physics - Condensed Matter, 1 (1989) 5689.

Google Scholar

[133] H. Matter, J. Winter, W. Triftshauser, Applied Physics A, 20 (1979) 135.

Google Scholar