The unit cell structures of two ferrielectric liquid-crystal phases are det
ermined from ellipsometric studies of freestanding films in a nondistorting
rotatable electric field. A highly biaxial mode with out-of-plane distorti
ons describes all of the data from two different compounds. Qualitative and
quantitative features of the data rule our alternate models. We also prese
nt a detailed explanation for apparent inconsistencies between previous res
onant x-ray and optical experiments.