odd-even effect observed in the electro-optical properties of the homologous series of hncbp liquid crystal studied under the impact of the electric field: a theoretical approach

The liquid crystal (lc) 4-4′-disubstituted biphenyls (hncbp) of the general line formula ho-(cnh2n+1)-o-c6h4-c6h4-cn (n=1-12) shows the odd-even effect under the applied electric field. the oddeven effects are observed in the homo-lumo gap, birefringence, order parameter, and dipole moment. the odd carbon atom number of the alkyl chain shows homo-lumo gap, birefringence, and order parameter in the upward direction, and even the carbon atom number of the alkyl chain shows in the downward direction; however, the dipole moment exhibits a shift of even carbon number of alkyl chain in the upward direction and odd carbon number of alkyl chain in the downward direction.