Funct. Mater. 2014; 21 (4): 448-456.

http://dx.doi.org/10.15407/fm21.04.448

Properties of the volume phase in the layerwise growth

R.Brodskii[1,2], A.V.Tur[3], V.V.Yanovsky[1]

[1]State Scientific Institution "Institute for Single Crystals" of National Academy of Sciences of Ukraine, Lenina av. 60, 61001 Kharkov, Ukraine
[2]V. N. Karazin Kharkiv National University, Svobody av., 4, 61000, Kharkov, Ukraine
[3]Universite de Toulouse [UPS], CNRS, Institut de Recherche en Astrophysique et Planetologie, 9 avenue du Colonel Roche, BP 44346, 31028 Toulouse Cedex 4, France

Abstract: 

Assuming statistical properties of phases in the layer are specified, some properties of the volume phase permeating many layers studied. In this paper, we consider analytically the case of one island in the layer and numerically the case of larger and a random number of islands of other phase. The distribution function of the phases overlapping area is obtained. Universal behavior of the distribution function in the small-scale field is established.

References: 

1. V.I.Trofimov, V.A.Osadchiy, Growth and Morphology of Thin Films, Energoatomizdat, Moscow (1993) [in Russian].

2. B.Lewis, J.C.Anderson, Nucleation and Growth of Thin Films, Academic Press, New York (1978).

3. K.Oura, V.G.Livshits, A.A.Saranin, et al., Introduction to Surface Physics, Nauka, Moskow (2006) [in Russian].

4. V.Barton, B.Kabrera, F.Frank, Elementary Processes of Crystal Growth, IIL, Moscow (1959) [in Russian].

5. M.Kendall, P.Moran, Geometric Probabilities, Nauka, Moscow (1972) [in Russian].

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