Nanosized Phase Diagram

Rod—coil block copolymers have both rigid rod and block copolymer characteristics. The formation of liquid crystalline nematic phase is characteristic of rigid rod, and the formation of various nanosized structures is a block copolymer characteristic. A theory for the nematic ordering of rigid rods in a solution has been initiated by Onsager and Flory,28-29 and the fundamentals of liquid crystals have been reviewed in books.30 31 The theoretical study of coil-coil block copolymer was initiated by Meier,32 and the various geometries of microdomains and micro phase transitions are now fully understood. A phase diagram for a structurally symmetric coil—coil block copolymer has been theoretically predicted as a... 

The calculations physical properties of antiferroelectrics based on the Kittel model (i.e. with respect to antiparallel alignment of sublattices polarization vectors) can be done within the formalism of Chap. 1. The numerical calculations of phase diagrams of nanosized antiferroelectric systems of different shapes were carried out in Ref. [68] without consideration of either external or internal electric fields. Corresponding analytical calculations had been carried out in Ref. [69], However, the model used for calculations in [69] did not take into account both mechanical strains and surface piezoeffect generating built-in field. The consistent account for latter effects in Ref. [70] show that they are playing a decisive role in transformation of antiferroelectric phase into ferroelectric one in sufficiently thin Aims. With respect to the latter, the subsequent consideration will be done according to Ref. [70]. 

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