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Using a mean-field theory, a twist-bend nematic (N TB ) phase has been described. In addition to second-order Legendre polynomial term, the chiral interaction potential includes third-order Legendre polynomial term also. It considers the coupling between a nematic director and a pitch axis of the N TB phase. The distortion free energy, order parameter for twist-bend nematic, and orientational distribution function in equilibrium state have been calculated. Based on the free energy minimization,doi:10.1007/s13538-020-00787-2 fatcat:qj6ysvu2avb2njw6dtnvbhd3xi