Abstract
Based on the V-shaped molecule of biaxial nematic liquid crystal,a model of symmetric Y-shaped molecule is developed.In this model the Y-shaped molecule is Abstracted to three linked rod-like arms.Using a simple biaxial molecular interaction model in nematic liquid crystal,the interaction energy between two molecules is obtained by the superposition of all rod-to-rod interactions.With the mean field approximation,the free energy of the system is derived and the result shows that the free energy is the function of order parameters.The relationship between the Y-shaped molecule and its ability to form a biaxial nematic phase is established.And phase transitions from isotropic to uniaxial nematic(NI phase transition) and from uniaxial to biaxial nematic(IB phase transition) are obtained.
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