Transition state theory is employed to predict the rates of amorphous
zone recrystallisation by direct thermal and radiation mediated therma
l annealing processes. These rates are functions of zone radius and ar
e employed to describe the competition between amorphous zone generati
on and annealing during elevated temperature heavy ion implantation of
, particularly, Si and the accumulation of amorphousness with increasi
ng ion fluence. This analysis predicts a change from monotonic to sigm
oidal to biexponential accumulation functions with increasing annealin
g rate or substrate temperature in agreement with experiments. A logar
ithmic dependence of ion flux density upon substrate temperature for t
he achievement of defined fractional amorphisation is predicted and is
in agreement with experiments also.