  The effects of flexibility and chemical composition in the variation of the
glass transition temperature are obtained by using the Lindemann criteria, that
relates melting temperature with atomic vibrations. Using this criteria and
that floppy modes at low frequencies enhance in a considerable way the average
cuadratic displacement, we show that the consequence is a modified glass
transition temperature. This approach allows to obtain in a simple way the
empirically modified Gibbs-DiMarzio law, which has been widely used in
chalcogenide glasses to fit the changes in the glass transition temperature
with the chemical composition . The method predicts that the constant that
appears in the law depends upon the ratio of two characteristic frequencies (or
temperatures). Then, the constant for the Se-Ge-As glass is estimated by using
the experimental density of vibrational states, and the result shows a very
good agreement with the experimental fit from glass transition temperature
variation.
