The dynamical properties of solids have recently attracted renewed
interest in connection with the increasing understanding of phase
transitions and re- lated phenomena. In particular, soft modes or, more
generally, phonon 'anom- alies' seem to play an important role in
structural and electronic phase tran- sitions, such as ferroelectric or
superconducting transitions. The understanding of the mechanisms
responsible for the occurrence of unusually low frequencies in phonon
spectra requires a detailed analysis of the microscopic forces governing
the lattice vibrations. Of particular importance is the influence of the
electron- lattice interaction in the adiabatic approximation which in
many cases is the origin of peculiarities in the phonon self-energy. In
this work the vibrational spectra of pure non-metals and of those con-
taining point defects are investigated. ' In these materials the
interrelation be- tween the pseudo-harmonic forces (determining the
phonon dispersion re- lations) and the non-linear anharmonic and
electron-phonon forces (as they act in infrared and Raman spectra) is
most obvious and can be quantitatively analysed in terms of appropriate
models. The main task is to arrive at a physically correct treatment of
electronic degrees of freedom, as for example in an electronic 'shell'
model, which leads to the description of phonon spectra in terms of
long-range polarizabilities and short-range deformabilities. The pur-
pose of our review is to stimulate further investigations which, we
hope, will result in explicit relations between the parameters of the
semi-microscopic models and the matrix elements from the electronic band
structure.