Phenomenological model of racemic ferroelectric and antiferroelectric liqui
d crystals, which considers both the tilt and the polarization order parame
ters explicitly, is presented. Free-standing films with few layers are anal
yzed within the model. Due to the flexoelectric coupling between the tilt a
nd the polarization, a polarization appears in the tilt plane. Results of t
he theoretical analysis are compared with experimental observations.