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5. Orientational phase transitions in planar systems of nonpolar molecules Vc= - / " 2' [v/2, n>4. 3) are replaced by the corresponding integrals). On the other hand, the self-consistent-field approximation is known to materially overestimate phase transition temperatures (especially since two-dimensional rather than three-dimensional systems are concerned). That is why, correlations with experimental data should involve more advanced statistical methods that take account of orientational fluctuation interactions.
22) at the points q = q0 H qT. The corresponding phase diagram is presented in Fig. 16. The phases given by Eqs. 27) correspond to the ground state of a planar system with the unit lengths of the vectors s, and ey. With increasing temperature, the average lengths of the orientation vectors ey at lattice sites may deviate from unity for the phases occurring in the vicinity of the point J of the first Brillouin zone; this results in modulated orientation structures incommensurate with the lattice period86 (the case of a planar antiferromagnet on a triangular lattice with weak dipole-dipole interactions87).
The molecules in question have rather large quadrupole moments and are therefore characterized by predominating quadrupole interactions; thus, the orientational structures observed fall into the phase qA\Y, with the azimuthal angles qj close to the theoretical value q> = 45°. Analogous structures are typical of the C2N2 and CS2 monolayers on graphite but the rhombicity angle a of their lattices markedly differs from 60°. On the other hand, carbon atoms of the substrate form a hexagonal (honeycomb) lattice, with its symmetry different from the symmetry of the adsorbate lattice.