Ra. Sones et Rg. Petschek, NEMATIC ORDERING AND MICROPHASE SEGREGATION IN A DIBLOCK POLYMER-LIQUID-CRYSTAL-POLYMER, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 50(4), 1994, pp. 2906-2912
A theory of nematic ordering and microphase segregation in an incompre
ssible melt of AB diblock copolymers is developed for the case when th
e A block is a polymer composed of Na monomers and the B block is a ma
in-chain liquid crystal polymer composed of Ng freely jointed nematoge
ns. Isotropic monomer-nematogen interactions are characterized by a Fl
ory parameter chi, and anisotropic nematogen-nematogen interactions ar
e characterized by a Maier-Saupe parameter J. Long chains (N-A,N-B >>
1) in the strong segregation limit (chi(N) >> 1, with N = N-A + N-B) a
re considered. An approximate free energy of the melt is given for the
following segregation morphologies: homogeneous, lamellar, cylindrica
l micelles, and spherical micelles. The free energy is minimized to de
termine the equilibrium morphology, lattice constant, and degree of ne
matic order as a function of chi(N), J, and N-A/N. Both morphological
and isotropic-nematic transitions occur, and the ordinary diblock copo
lymer phase diagram is significantly altered.