We present a band structure approach with a molecular dynamics cluster opti
mization which accounts for the various structural modifications related to
the non-stoichiometry of LiNbO3 crystals. The variation of the optical pro
perties with the deviation from the stoichiometric composition can be under
stood within this approach. Particular role of the electron-phonon contribu
tions to the electrooptics coefficient is shown. Model calculations yield a
large dependence of the electrooptis coefficient r(22) on the crystal comp
osition, in agreement with the experimental data. The observed minimum of t
he r(22) coefficient versus the non-stoichiometry is interpreted as origina
ted from the noncentrosymmetry in the electrostatic potential distribution
around Nb-O-6 clusters.