The theory of circular intensity differential scattering (CIDS) of light by a solution of randomly oriented molecules of arbitrary geometry has been derived. The molecules are treated as a set of polarizability tensors. The CIDS as a function of scattering angle is obtained in closed form. The CIDS depends on the distances and angle between all the polarizabilities in the molecule. Numerical calculations of helices made up of uniaxial polarizabilities, directed along the tangent to the helix, are shown as a function of helix geometry. The calculated values of the CIDS indicate that they should provide a useful, new experimental technique to determine the structures of biomolecular aggregates. © 1982 American Institute of Physics.