We have measured the thermal conductivity kappa of Single crystals of
hexagonal silicon carbide (6H-SiC) of two different electron densities
n. The densities are low such that virtually all of the heat is condu
cted by lattice vibrations. At low temperatures the thermal conductivi
ty of both samples varies as T2 and scales with the electron density.
The calculated phonon mean free path thus varies as T-1 and is consist
ent with a model of scattering of the heat-carrying phonons by electro
ns in an impurity band.