Medium-range order in ion-implanted amorphous silicon has been observed usi
ng fluctuation electron microscopy. In fluctuation electron microscopy, var
iance of dark-field image intensity contains the information of high-order
atomic correlations, primarily in medium-range order length scale (1-3 nm).
Thermal annealing greatly reduces the order and leaves a random network. I
t appears that the free energy change previously observed on relaxation may
therefore be associated with randomization of the network. In this paper,
we discuss the origin of the medium-range order during implantation, which
can be interpreted as a paracrystalline state, that is, a disordered networ
k enclosing compacts of highly topologically ordered grains on the length s
cale of 1-3 nm with significant strain fields.