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Crystal Growth
for Beginners
Fundamentals of
Nucleation, Crystal
Growth and Epitaxy
3rd Edition
by Ivan V Markov
(Bulgarian Academy of Sciences, Bulgaria)
2
23
*
3
16




v
G
The idea of growth by 2D nucleation
J. W. Gibbs Work of formation of 3D nucleus
G. V. Wulff Equilibrium crystal shape (ECS)
The Wulff construction
ECS of Si
R. Kaischew
Wulff – Kaischew theorem
Equilibrium shape of a crystal
on a foreign substrate
W. Kossel and I. Stranski - 1927
The half-crystal (kink) position
W. Kossel I. N. Stranski
R. KaischewI. N. Stranski
Equilibrium of small crystal with the
ambient phase
Max Volmer
Rate of 3D and 2D nucleation
Rate of crystal growth by 2D
nucleation
)exp( 2GV 
Volmer-Weber mode of epitaxial growth
Ya. I. Frenkel
Homophase and heterophase
fluctuations
Theory of nucleation
Surface diffusion of atoms
Surface roughness
Theory of nucleation rate
Zeldovich factorYa. B. Zeldovich
Iwan Stranski L. Krastanov
Growth of Ge
on Si(001)
Spiral growth of crystals
F. C. Frank
N. Cabrera F. C. Frank
The famous parabolic law of crystal
growth at small supersaturation
N. Cabrera F. C. Frank
The structure of crystal
surfaces
F. C. Frank J. H. van der Merwe
One-dimensional model of interface between misfitting crystals
Layer-by-layer or
Frank – van der Merwe
mechanism of growth
For more info
http://bit.ly/crystal-growth3

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Crystal Growth for Beginners - Fundamentals of Nucleation, Crystal Growth and Epitaxy (3rd Edition)