We report local-density-approximation calculations of the electronic s
tructure and thermoelectric properties of beta-Zn4Sb3. The material is
a low carrier density metal with a complex Fermi-surface topology and
a nontrivial dependence of the Hall concentration on the band filling
. The band structure is rather covalent, consistent with experimental
observations of good carrier mobility. At a band filling corresponding
to the experimental Hall number, the calculated thermopower and tempe
rature dependence are in good agreement with experiment. The high Seeb
eck coefficient in a metallic material is remarkable, and arises in pa
rt from the strong energy dependence of the Fermi surface topology nea
r the experimental band filling. An improved thermoelectric performanc
e is predicted for lower doping levels, i.e., higher Zn concentrations
.