We have investigated the pressure dependence of the lifetimes of zone-cente
r optical phonons in Si, Ge, and 3C-SiC. The mechanism leading to a finite
lifetime is the anharmonic decay into phonons of lower energy. Experimental
ly, the lifetime is determined from the full width at half maximum of Raman
lines measured at low temperature. The experimental results for the linewi
dths as well as phonon frequencies are compared to results of ab-initio cal
culations which are based. on third-order density functional perturbation t
heory.