Inter-particle interactions of weak homeotropic anchoring with electric field in a homogeneous nematic cell

Two particles interact with the dipole–dipole and quadrupole–quadrupole interactions in the cell. A model of far-field solution dependent on the cell gap and the electric field with weak anchoring is considered to explain the experimental results.

The effective radius is introduced to adapt the anchoring strength effect using the radius ( R ) and a coefficient . The model was experimentally proved with varying electric field and cell gap and it was reasonable for weak electric field. The coefficient was measured to be and for the dipole–dipole and quadrupole–quadrupole interactions, respectively, within the experimental range of the weak electric field.