EXAFS (extended x-ray absorption fine structure), besides being a powerful
structural probe, can also give original information on local dynamics in s
olids. EXAFS is peculiarly sensitive to the correlation of vibrational moti
on, both parallel and perpendicular to the bond direction, and to anharmoni
city. This paper contains an introduction to the effects of thermal disorde
r on EXAFS of crystals and to the data analysis based on the cumulant expan
sion. Cumulants are easily connected to average local vibrational propertie
s. Recently obtained experimental results concerning the mean square relati
ve displacement and the thermal expansion in crystals confirm the potential
ities of EXAFS as a dynamical probe.