Transient electric birefringence (TEB) studies have been carried out o
n water-in-oil w/o microemulsions stabilized by Ni(AOT)(2), the nickel
salt of bis(ethylhexyl) sulfosuccinate. The system forms rod-shaped d
roplets at low water contents which convert to more spherical aggregat
es as the water content is increased. TEB data have been obtained as a
function of microemulsion volume fraction, phi, water content, and te
mperature. Relaxation transients of the electric birefringence signal
were found to be nonexponential, following asymptotically a stretched-
exponential behavior. The value of the stretching exponent at low volu
me fraction is consistent with the assumption that the length probabil
ity distribution is exponential. A model describing the Kerr response
of the microemulsion droplets is developed. By using this model we der
ive the specific Kerr constant as a function of the volume fraction, f
inding a good agreement with the experimentally observed behavior. We
also use the model to derive, from the initial slope of the relaxation
, the mean rod length L-m. It is found that L-m grows approximately as
the square root of phi. Values for L-m obtained from TEB are in good
agreement with those obtained from small-angle neutron scattering meas
urements.