Three successive pressure-induced structural transformations of stisho
vite (rutile-structure SiO2) to denser phases are predicted by the fir
st-principles pseudopotential method within the local-density approxim
ation. The transition from the rutile to the orthorhombic CaCl2 phase
occurs at 47 GPa, the transition from the CaCl2 to the Pnc(2) structur
e at 98 GPa, and finally the Pnc(2) phase transforms to the pyrite pha
se at 226 GPa. It is clearly illustrated that the first transition is
associated with an elastic instability which arises from the strong co
upling between elastic constants and the softening rutile B-1g mode. T
he fully optimized structures of the four polymorphs of silica are obt
ained as a function of pressure. In addition, all zone-center transver
se optic modes of the rutile and CaCl2 phases are determined as a func
tion of pressure. The results are in excellent agreement with availabl
e experimental data.