The effects of solute-solvent interactions on the vibrational spectrum of a dissolved molecule are evaluated by supposing that the interaction energy
U
can be expanded as a power series in the normal co-ordinates of the active molecule. By treating
U
and the anharmonic terms in the potential energy function of the free molecule as small perturbations to the harmonic oscillator Hamiltonian, the solvent shifts, ∆
ω
, in the vibrational frequencies are found to be proportional to (
U"
— 3
U'
A
/
ω
e
), where
U'
and
U"
are the first and second derivatives of
U
with respect to the normal co-ordinates and
A
/
ω
e
is an anharmonic constant obtainable from the spectrum of the gas. The theory indicates that ∆
ω
/
ω
is independent of isotopic substitution as well as of the order of the transition; experimental data for HCl and DCl support these conclusions. The intensities of vibrational bands of dissolved molecules are shown to be proportional to a factor involving the refractive index of the solvent and to be dependent upon the derivatives with respect to the normal co-ordinates of the dipole moment of the solute molecule and its near neighbours. It is predicted that for diatomic molecules the intensity of the (
n
— 1)th overtone, (
A
s
)
0,
n'
is related to the frequency
ω
so that (
A
s
)
0,
n
/
ω
n
+1
is independent of isotopic substitution, as in the gas phase.