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We use density functional theory to describe the phase behaviors of rigidmolecules. The construction of kernel function G(x, P, x, P) is discussed.Excluded-volume potential is calculated for two types of molecules with C_{2v}symmetry. Molecular symmetries lead to the symmetries of G and density functionf(P), enabling a reduction of configuration space. By approximating G with apolynomial, the system can be fully characterized by some moments correspondingto the form of G. The symmetries of G determine the form of the polynomial,while the coefficients are determined by temperature and molecular parameters.The analysis of the impact of coefficients helps us to choose independentvariables in the moments as order parameters. Order parameters for bent-coremolecules are predicted.

From microscopic theory to macroscopic theory: symmetries and order parameters of rigid molecules