We have used the linear muffin-tin orbital-atomic sphere approximation
method to calculate the band structure of red HgI2. Our results are i
n excellent agreement with the self-consistent Korringa-Kohn-Rostoker
calculation of Turner and Harmon. Using our self-consistent potential,
we have calculated the anisotropic frequency-dependent dielectric fun
ction. This dielectric function is in agreement with the experimental
data. We compare our calculations with those reported by Chang and Jam
es using an empirical nonlocal pseudopotential.