Crystallization of solids at planar solid-air surfaces was analyzed. S
hape and size of clusters of the newly evolving phase are determined w
hich correspond to the minimal work of cluster formation in nucleation
. Both elastic field and surface energy terms are taken into considera
tion. This work is not restricted to the consideration of spherical in
terfaces cluster-ambient solid phase but allows, more general arbitrar
y shapes of the new phase. Application to crystallization of glassform
ing melts, gives additional support to the idea that differences in th
e degree of evolution of elastic strains in crystallization in the bul
k and near external or internal surfaces of highly viscous glassformin
g melts in the vicinity of the temperature of vitrification T-g may be
the origin for the preferential surface crystallization of glasses. (
C) 1998 Elsevier Science B.V. All rights reserved.