We present a lattice dynamics study of CdTe-HgTe superlattices grown a
long the (001) and (111) directions within the framework of the adiaba
tic bond charge model. We find that the long-range Coulomb interaction
between particles situated on the opposite sides of the interface nee
ds to be handled carefully to get sensible frequencies and eigenvector
s with the proper symmetry and continuity, CdTe-HgTe superlattices gro
wn along the (001) direction show many propagating modes that travel w
ith different wavevectors in CdTe and HgTe layers. The wavevector in H
gTe differs from the bulk value, particularly at long wavelengths. For
(lll) superlattices all of the optical modes are either confined or in
terface modes. In both cases, the frequencies of the HgTe optical mode
s do not map well to the bulk LO branch, and the highest HgTe LO mode
consistently remains below the bulk value even for 27 layers of HgTe.
Our results indicate that all of the unidentified peaks seen in the Ra
man spectra of (001) superlattices can be explained in terms cf superl
attice modes.