A planar nematic liquid crystal cell (NLC) doped with spherical ferroelectric nanoparticles is considered.
Polarisation of the nanoparticles are assumed to be along the NLC molecules parallel and
antiparallel to the director with equal probability. The NLC molecules anchoring to the cell walls are
considered to be strong, while soft anchoring at the nanoparticles surface is supposed. Behaviour of
the NLC molecules and nanoparticles in the presence of a perpendicular electric field to the NLC cell
is theoretically investigated. The electric field of the nanoparticles is taken into account in the calculations.
Freedericksz transition (FT) threshold field in the presence of nanoparticles is found. Then,
the director and particles reorientations for the electric fields larger than the threshold field are studied.
Measuring the onset of the nanoparticles reorientation is proposed as a new method for the FT
threshold measurement.