Geometric frustration frustrated lattices

Figure 2. Sketch of a possible configuration of monomers belonging to different chains in the melt in order to illustrate the effect of the modePs energy function and the concept of geometric frustration. All bond vectors shown in this picture have the energy e except the vector (3,0,0) which is in the ground state. This vector blocks four lattice sites (marked by o) which are no longer available to other monomers, since two monomers may not overlap. Due to the excluded volume interaction the jump in direction of the large arrow is also forbidden. This leads to geometric frustration. Prom (17).

Fig. 66. Properties of YMdj. Left Crystalline and (basic) magnetic structure (top) and tUustradonof geometrical frustration in a tetrahedron (bottom), Right Lattice expansion and l eresis around the AFM transition (after H. Nakamura et al. 1988b), together with the temperature dependence of magnetic susceptibility (after Shiga...

Grason, G.M. The Packing of Soft Materials Molecular Asymmetry, Geometric Frustration and Optimal Lattices in Block Copolymer Melts. Phys. Rep. 2006,433,1-64. Hammond, M.R. Cochran, E. Fredrickson, G.H. Kramer, E.J. Temperature dependence of order, disorder, and defects in laterally confined di-block copolymer cylinder monolayers. Mlacromolecules 2005, 38,657 6585. 

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