The first self-consistent computations of piezoelectricity in a ferroe
lectric are presented. spontaneous polarization, dynamical charges (Z
), and the full piezoelectric stress tensor of PbTiO3 were determined
from ground-state Berry's phase calculations using the all-electron li
nearized augmented plane wave method. Both the proper and total piezoe
lectric moduli were computed and were found to be significantly differ
ent. The theoretical piezoelectric stress moduli, e(15) = 3.15 C/m(2),
e(31) = -0.93 C/m(2), and e(33) = 3.23 C/m(2), agree well with single
crystal experimental data.