Free Energies and Critical Exponents of the [formula omitted] and [formula omitted] Face Models

We obtain the free energies and critical exponents of models associated with elliptic solutions of the star-triangle relation and reflection equation. The models considered are related to the affine Lie algebras [formula omitted] and [formula omitted] The bulk and surface specific heat exponents are seen to satisfy the scaling relation 2α_s = α_b,+2. It follows from scaling relations that in regime III the correlation length exponent v is given by v = (l+g)/2g, where l is the level and g is the dual Coxeter number. In regime II we find v = (l+g)/2l.