Extended data sets for the relative intensity variation of x-ray Bragg refl
ections of GaAs and ZnSe caused by an external electric field were collecte
d using a modulation demodulation technique. In particular, the functional
dependence of the intensity variation on field strength and wavelength of t
he synchrotron radiation was determined. The wavelength dependence allows t
o determine the phases of the difference-structure factors. An interpretati
on of all data using a semiempirical model leads to the following conclusio
ns: The main contribution to the measured effects comes from a displacement
of the anion sublattice relative to the cation sublattice. The response of
the electron density to an external electric field is negligibly small acc
ording to density functional theory calculations with both, clamped and ''f
ree'' ions. This effect is much smaller than the redistribution of the elec
tron density in the bond region associated with the displacements of the at
oms causing a change in overlap. The dependence of the sublattice displacem
ent on the strength of the external electric field E parallel to [111] is e
stimated to be 1.5x10(-8) Angstrom /V mm(-1) for GaAs and 13.5x10(-8) Angst
rom /V mm(-1) for ZnSe. For the mainly covalent GaAs the inverse piezoelect
ric effect can be explained by this bond-length variation, in contrast to t
he much more ionic compound ZnSe for which this is not the case.