The atomic and electronic structures of two phases of titanium dioxide, ana
tase and rutile, have been investigated by a first-principles pseudopotenti
al method based on local density approximation in density functional theory
. The calculated band structure, equilibrium lattice constants, and bulk mo
dulus of rutile are consistent with experimental data and with other calcul
ations. The calculated structure of anatase is also close to experimental d
ata. The calculated bulk modulus of anatase is found to be smaller than tha
t of rutile, presumably due to the sparsity of anatase. The band structure
of anatase is given in comparison with that found in previous works. The en
ergetics between the two phases is also discussed.