  We present analytic and numerical results for the thermoelectric effect in
unconventional superconductors with a dilute random distribution of impurities,
each scattering isotropically but with a phase shift intermediate between the
Born and unitary limits. The thermoelectric response function has a linear
temperature dependence at low temperatures, with a slope that depends on the
impurity concentration and phase shift. Although the thermoelectric effect
vanishes identically in the strict Born and unitary limits, even a small
deviation of the phase shift from these limits leads to a large response,
especially in clean systems. We also discuss possibilities of measuring
counter-flowing supercurrents in a SQUID-setup. The non-quantized
thermoelectrically induced flux can easily be of the order of a percent of the
flux quantum in clean systems at 4He temperatures.
