Abstract
A general algorithm is proposed for calculating the Θ series of SiC polytypes. The obtained Θ series of the main SiC polytypes can be useful in calculating lattice sums, in particular when using the Mellin transform of the Θ series. By expanding the Θ series in the Jacobi parameter, one obtains sequences of coordination numbers for crystallographically nonequivalent atomic sites in the main SiC polytypes. A nontrivial interrelationship is demonstrated between these numerical sequences and the local symmetry of the nonequivalent sites.
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References
Yu. M. Tairov, Mater. Sci. Eng., B 29, 83 (1995).
R. F. Davis, G. Kelner, M. Shur, J. W. Palmour, and J. A. Edmond, Proc. IEEE 79, 677 (1991).
R. F. Davis, J. W. Palmour, and J. A. Edmond, Diamond Relat. Mater. 1, 109 (1992).
J. H. Edgar, J. Mater. Res. 7,1, 235 (1992).
R. F. Davis, J. Vac. Sci. Technol. A 11,4, 829 (1993).
C. M. Venvliet, G. Bosman, and L. L. Hench, Ann. Res. Mater. 18, 381 (1988).
A. R. Verma, P. Krishna, Polymorphism and polytypism in crystals, (John Wiley & Sons, N.Y. 1966; Mir, Moscow, 1969).
Yu. M. Tairov and V. F. Tsvetkov, Prog. Cryst. Growth Charact. 7, 111 (1983).
M. Dubey, U. Shanker Ram, K. Nath Rai, and G. Singh, Phys. Status Solidi A 18,2, 689 (1973).
G. B. Dubrovskii and E. I. Radovanova, Phys. Status Solidi 48, 875 (1971).
D. J. Larkin, P. G. Neudeck, J. A. Powell, and L. G. Matus, Appl. Phys. Lett. 65, 1659 (1994).
G. Pensl and W. J. Choyke, Physica B 185, 264 (1993).
Y. A. Vodakov, G. A. Lomakina, E. N. Mokhov, E. I. Radovanova, V. I. Sokolov, M. M. Usmanova, G. F. Yuldashev, and B. S. Machmudov, Phys. Status Solidi A 35, 37 (1976).
I. J. Zucker, J. Math. Phys. 16,11, 2189 (1975).
M. L. Glasser and I. J. Zucker, Theor. Chem.: Adv. Persp. 5, 67 (1980).
N. J. A. Sloane and B. K. Teo, J. Chem. Phys. 83, 6520 (1985).
N. J. A. Sloane, J. Math. Phys. 28, 1653 (1987).
A. M. Odlyzko and N. J. A. Sloane, Stud. Sci. Math. Hung. 15,4, 461 (1980).
Handbook of Mathematical Functions with Formulas, Graphs and Mathematical Tables, edited by M. Abramowitz and I. A. Stegun, National Bureau of Standards, Appl. Math. Series-55 (1964).
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Fiz. Tverd. Tela (St. Petersburg) 41, 183–186 (February 1999)
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Madison, A.E. Differences in the atomic environment of nonequivalent sites in SiC-polytype structures. Phys. Solid State 41, 160–163 (1999). https://doi.org/10.1134/1.1130748
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DOI: https://doi.org/10.1134/1.1130748