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The effects of the characteristics of molecules and exteal fields on field-free molecular orientation are investigated through the comparison of HBr with LiH driven by the combination of a two-color laser pulse and a time-delayed THz laser pulse.It is shown that the dipole interaction has greater influence on field-free orientation than the hyperpolarizability interaction.In addition to the temperature dependence of orientation degree,the effects of the amplitudes of the two-color laser pulse and THz laser pulse,rising time,and THz laser frequency on molecular orientation are also discussed.