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A complete expression of the elastic free energy of biaxial cholesterics is derived in terms of quadratic combinations of a spatial gradient of the biaxial tensor order parameter. As a result of the tensorial description of an isotropic scalar quantity, the elastic free energy is found to consist of 12 bulk elastic constants, 3 chiral terms, and 3 surface terms under D 2 symmetry in the Schoenflies notation and expressed in terms of the microscopic order parameters characterising the biaxial molecular ordering as well as the uniaxial one.
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Masahiro Nakagawa (1990) studied this question.
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