Molecular Theory of Dendritic Liquid Crystals: Self Organization and Phase Transitions

We formulate the configurational partition function for dendrimers, taking explicit account of their conformations and segmental interactions. Two approximate schemes are presented, one based on the effective dendrimer-dendrimer interactions and the other based on the interactions among the mesogenic units comprising the dendrimers. In the latter scheme, the description of the dendromesogenic system reduces to that of an ensemble of mesogenic dimers. Results of lattice calculations for phase transitions are presented showing that the minimal inclusion of shape anisotropy and of sub-molecular partitioning into chemically distinct parts reproduces the variety of phases and phase sequences observed experimentally and provides insights into the conformational aspect of these transitions.