Zl. Wang et al., ION-INDUCED CRYSTALLIZATION AND AMORPHIZATION AT CRYSTAL AMORPHOUS INTERFACES OF SILICON/, Nuclear instruments & methods in physics research. Section B, Beam interactions with materials and atoms, 100(4), 1995, pp. 493-501
New empirical equations describing the rate of ion-induced crystalliza
tion at a Si crystal/amorphous interface have been developed. In our m
odel, crystallization/amorphization at the interface arises from forma
tion of hot spots and of knock-ons in the collision cascades. It is pr
esumed that the hot spots induce amorphous-to-crystal transformation w
hich lowers the free energy, similarly to heating to high temperatures
, and that the bond rearrangement by a series of displacements by knoc
k-ons and recombination to the original lattice point in collision cas
cades can lead to both crystal-to-amorphous and amorphous-to-crystal t
ransformations. In both hot-spot and knock-on effects, the presence of
di-vacancies under irradiation with ion beams is assumed to prohibit
crystallization. The model can explain the experimental observation th
at the crystallization/amorphization rate is scaled by X = phi(1/2)exp
(E/2kT), the product of the root of the flux and the inverse of root o
f the Boltzmann factor for the motion of the di-vacancies. Crystalliza
tion rate in the hot-spots derived assuming that an incident ion induc
es spontaneous crystallization within a characteristic volume along th
e track reveals that the radius is 10 atomic distances and the thickne
ss of is about 0.3 monolayer for 1.5 MeV Xe ions. The calculated cryst
allization/amorphization rate fits to experimental results over a wide
temperature range.