Measurements of the thermal diffusivities between 80 and 500 K for fiv
e silicate glasses of composition 0.15(M2O)0.05(ZnO)0.05(BaO)0.05(Eu2O
3)0.70(SiO2), where M is Li, Na, K, Rb, or Cs are presented. In each c
ase the thermal diffusivity asymptotically approaches a linear tempera
ture dependence at high temperatures. The data are analyzed using a mo
del that contains extended phonons and, above a mobility edge, localiz
ed phonons that participate in the transport through thermally activat
ed hopping. The lowest-frequency Raman peak is used as a quantitative
measure of the mobility edge. The thermally averaged relaxation times
that characterize the localized-mode and extended-mode contributions t
o the thermal diffusivities are studied as functions of the mobility e
dge across this isostructural series of glasses.