Studies of vibrational spectra of ice I and amorphous ice in the stret
ching mode frequency range were extended to include (a) the observed e
ffect of a full range of isotopic dilution on the infrared spectra and
(b) computational modeling of the observed influence of each dilution
step on the properties of vibrationally excited states and on infrare
d and Raman spectra. The quantum-mechanical computational scheme inclu
ded effects of frequency lowering due to hydrogen bonding, and of intr
a- and intermolecular coupling between bonds. The H2O/D2O mixtures can
be viewed as a collection of clusters of one X2O isotopomer embedded
in a matrix of the other isotopomer. The properties of the vibrational
ly excited states and of the spectra are determined by complex interpl
ay between the size distribution of the embedded clusters, and the int
er- and intramolecular coupling. Vibrational excitations are delocaliz
ed over large portions of the embedded clusters. In the limit of a pur
e crystalline isotopomer, the excitations are delocalized over the ent
ire system and thus proton disorder alone is insufficient to induce lo
calization. The excitations in pure amorphous ice show more pronounced
localization effects at the band edges. Throughout the entire composi
tion range, the vibrations of molecules in the low frequency regime re
tain symmetric stretch character, and the vibrations in the high frequ
ency regime retain antisymmetric stretch character. The perpendicularl
y polarized Raman spectrum peaks in the region of the latter states. T
he parallel-polarized Raman spectrum peaks in the low frequency end of
the band where the states are globally symmetric, i.e., the contribut
ions of excitations of all bonds to a state are of the same sign. The
infrared spectrum extends over the entire band and follows roughly the
density of states.