Abstract
The physics of epitaxial crystal growth is usually based on two kinds of theoretical approximations, i.e., a macroscopic approach using phenomenological thermodynamics [12.1], and a microscopic, or atomistic approach, using stochastic models [12.2]. So far the principles of epitaxy have been discussed in a macroscopic, thermodynamic approach. Here, the microscopic aspects of epitaxial crystallization will be considered, mainly in the frames of statistical physics [12.3] and quantum mechanics of chemical bonds in crystals [12.4]. Since the epitaxial growth process takes place at the surface of a single-crystalline substrate, one has to be aware of the influence which the surface structure exerts on this process (for more information see Chap. 13)
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References
P. Bennema, G.H. Gilmer: Kinetics of Crystal Growth in Crystal Growth — An Introduction ed. by P. Hartman (North-Holland, Amsterdam 1973), Chap. 10
H. Müller-Krumbhar: Phys. Rev. B 10, 1308 (1974)
Y. Saito: Statistical Physics of Crystal Growth ( World Scientific, Singapore 1996 )
W.A. Harrison: Electronic Structure and the Properties of Solids–The Physics of Chemical Bond (Freeman and Co, San Francisco 1980) Chap. 7
R. Kern, O. Lc Lay, J.J. Metois: Basic Mechanisms in the Early Stages of Epitaxy in Current Topics in Materials Science Vol. 3, ed. by E. Kaldis (North-Holland, Amsterdam 1979) Chap. 3
A. Madhukar, S.V. Ghaisas: CRC Crit. Rev. Solid State Mater. Sci. 14, 1 (1988)
H. Müller-Krumbhar: Kinetics of Crystal Growth in Current Topics in Materials Science Vol. 1, ed. by E. Kaldis (Nort-Holland, Amsterdam 1978), Chap. 1
T.D. Lee, C.N. Yang: Phys. Rev. 87, 410 (1952)
L.K. Runnels: Phys. Rev. Lett. 15, 581 (1965)
A. Bellemans, R.K. Nigam: J. Chem. Phys. 46, 2922 (1967)
C. Ebner, C. Rottman, M. Wortis: Phys. Rev. B28, 4186 (1983) 12.12 J.W. Cahn, R. Kikuchi: Phys. Rev. B 31, 4300 (1985)
Y. Saito, T. Ueta: Phys. Rev. A 40, 3408 (1989)
J.R. Smith, Jr., A. Zangwill: Surf. Sci. 316, 359 (1994)
W.L. Bragg, E.J. Williams: Proc. Roy. Soc. London A 145, 699 (1934)
R.A. Swalin: Thermodynamics of Solids, 2nd ed. (Wiley, New York 1972) 12.17 Y. Saito: J. Chem. Phys. 74, 713 (1981)
R. Venkatasubramanian: J. Mater. Sci. 7, 1221 and 1235 (1992)
E. Ising: Z. Phys. 31, 253 (1925)
B.M. McCoy, T.T. Wu: The Two-Dimensional Ising Model (Harvard University Press, Cambridge, Mass. 1973 )
L. Onsager: Phys. Rev. 65, 117 (1944)
M.E. Fischer: Rep. Progr. Phys. 36, 615 (1967)
K. Binder, P. Hohenberg: Phys. Rev. B 6, 3461 (1972)
H. Leamy, G. Gilmer, K.A. Jackson, P. Bennema: Phys. Rev. Lett 30, 601 (1973)
K. Binder, P. Hohenberg: Phys. Rev. B 9, 2194 (1974)
J.D. Weeks, G.H. Gilmer, K.A. Jackson: J. Chem Phys. 65, 712 (1976)
H. Nakayama, T. Kita, T. Nishino: Atomic Ordering in Epitaxial Alloy Semiconductors - From the Discoveries to the Physical Understanding in Ref. [12.48], p. 163
K. Binder (ed.): Monte Carlo Methods in Statistical Physics ( Springer, Berlin 1979 )
M.C. Desjonqueres, D. Spanjaard: Concepts in Surface Physics, 2nd ed. ( Springer, Berlin 1996 ), Chap. 6
A. Zangwill: Physics at Surfaces, ( Cambridge University Press, Cambridge 1988 )
P.W. Atkins: Physical Chemistry, 3rd ed. ( Oxford University Press, Oxford 1986 )
S.R. Morrison: The Chemical Physics of Surfaces ( Plenum Press, New York 1977 )
R. Fowler, E.A. Guggenheim: Statistical Thermodynamics ( Cambridge University Press, Cambridge 1965 )
A.M. de Jong, J.W. Niemantsverdriet: Surf. Sci. 233, 355 (1990)
V.J. Garcia, J.M. Briceno-Valero, L. Martinez: Surf. Sci. 339, 189 (1995)
M. Polanyi, E. Wigner: Z. Phys. Chem. A 139, 439 (1928)
M.A. Herman: Appl. Surf. Sci. 112, 1 (1997)
M.A. Herman, P. Juza, W. Faschinger, H. Sitter: Crystal Res. Technol. 23, 307 (1988)
P. Juza, H. Sitter, M.A. Herman: Appl. Phys. Lett. 53, 1396 (1988)
W.K. Burton, N. Cabrera, F.C. Frank: Philos. Trans. Roy. Soc., London, Ser. A, 243, 299 (1951)
P. Smilauer: Vacuum 50, 115 (1998)
G. Ehrlich, F.G. Hudda: J. Chem. Phys. 44, 1039 (1966)
R.L. Schwoebel, E.J. Shipsey: J. Appl. Phys. 37, 3682 (1966)
H.J. Gossmann, F.W. Sinden, L.C. Feldman: J. Appl. Phys. 67, 745 (1990)
J. Krug: Adv. Phys. 46, 139 (1997)
P. Smilauer, D.D. Vvedensky: Phys. Rev. B 52, 14263 (1995)
G.S. Bales, A. Zangwil: Phys. Rev. B 41, 5500 (1990)
T. Nishinaga, K. Nishioka, J. Harada, A. Sasaki, H. Takei (eds.): Advances in the Understanding of Crystal Growth Mechanisms, ( Elsevier, Amsterdam 1997 )
E.E. Gruber, W.W. Mullins: J. Phys. Chem. Solids 28, 875 (1967)
T. Yamamoto, N. Akutsu, Y. Akutsu: The Terrace-Step-Kink Approach and the Capillary-Wave Approach to Fluctuation Properties of Vicinal Surfaces in Ref. [12.48], p. 19
A. Natori: Step Structure of Si(111) Vicinal Surfaces in Ref. [12.48], p. 61
A.V. Latyshev, A.L. Aseev, A.B. Krasilnikov, S.I. Stenin: Surf. Sci. 213, 157 (1989)
A.V. Latyshev, A.B. Krasilnikov, A.L. Aseev: Thin Solid Films 306, 205 (1997)
K. Wada, H. Ohmi: Crystal Growth Kinetics on Stepped Surface by the Path Probability Method in Ref. [12.48], p. 101
S. Holloway, N.V. Richardson (eds.): Handbook of Surface Science, Vol. 1, Physical Structure, ed. by W.N. Unertl ( Elsevier, Amsterdam, 1996 )
T. Kimoto, A. Itoh, H. Matsunami: Appl. Phys. Lett. 66, 3645 (1995)
X.S. Wang, J.L. Goldberg, N.C. Bartelt, T.L. Einstein, E.D. Williams: Phys. Rev. Lett. 65, 2430 (1990)
M.C. Tringides: Atomic Scale Defects on Surfaces, in Ref. [12.55], Chap. 12
M. Uwaha: Fluctuation and Morphological Instability of Steps in a Surface Diffusion Field in Ref. [12.48], p. 31
E.D. Williams, N.C. Bartelt: Thermodynamics and Statistical Mechanics of Surfaces in Ref. [12.55], Chap 2
W.W. Mullins, J.P. Hirth: J. Phys. Chem. Solids 24, 1391 (1963)
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Herman, M.A., Richter, W., Sitter, H. (2004). Atomistic Aspects. In: Epitaxy. Springer Series in MATERIALS SCIENCE, vol 62. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-07064-2_12
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