Magnetic properties of a multi-domain model for smectic-C liquid crystals

The magnetic properties of a multi-domain smectic-C phase liquid crystal are calculated as a function of tilt angle and magnetic field orientation. Numerical results are presented for the overall diamagnetic susceptibility and magnetic torque density. It is predicted that a first-order reorientation phase transition can occur for the case of a free smectic-C whose tilt angle exceeds 35° at some temperature. These calculations can be used for critically evaluating the multi-domain model and for studies of the temperature dependence of the smectic-C tilt angle.