Many crystalline materials undergo a crystalline-to-amorphous (c-a) ph
ase transition when subjected to energetic particle irradiation at low
temperatures. By focusing on the mean-square static atomic displaceme
nt as a generic measure of chemical and topological disorder, we are l
ed quite naturally to a generalized version of the Lindemann melting c
riterion as a conceptual framework for a unified thermodynamic approac
h to solid-state amorphizing transformations. Tn its simplest form, th
e generalized Lindemann criterion assumes that the sum of the static a
nd dynamic mean-square atomic displacements is constant along the poly
morphous melting curve, so that c-a transformations can be understood
simply as melting of critically-disordered crystals at temperatures be
low the glass transition temperature where the supercooled liquid can
persist indefinitely in a configurationally-frozen state. Evidence in
support of the generalized Lindemann melting criterion for amorphizati
on is provided by a large variety of experimental observations and by
molecular dynamics simulations of heat-induced melting and defect-indu
ced amorphization of intermetallic compounds. (C) 1997 Elsevier Scienc
e B.V.