We have investigated the optical properties of the silicate dust grains in
the envelopes around oxygen-rich asymptotic giant branch (AGB) stars, payin
g close attention to the infrared observations of the stars and the laborat
ory-measured optical data of the candidate dust grain materials. We have co
mpared the radiative transfer model results with the observed spectral ener
gy distributions of the stars including the IRAS PSC and IRAS LRS data. We
find that the opacity function at lambda > 13 mu m for the OH/IR stars with
thick dust shells is different from the opacity for the stars with thin du
st shells. This may be the effect of some changes of optical constants of t
he dust grains depending on the temperature. From the opacity functions, we
derive two sets of optical constants for the warm and cool silicate dust g
rains. The optical constants satisfy the Kramers-Kronig relation and produc
e opacity functions that fit the observations of AGB stars better than prev
ious works. From the opacity functions, we have calculated the Planck mean
values of the optical efficiency factors.