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Z Cone model for the energy of an ordered foam

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Figure

Fig. 1The shape of a bubble in a crystalline foam with Z equivalentneighbours, shown in (a) for Z ¼ 12, may be approximated by anassembly of Z cones of the type shown in (b)
Fig. 2(a) shows that for Zdependence ofobtained from Surface Evolver calculations. For other values ofZ, the cone model predicts similar behaviour ¼ 12, over a limited range of x, the 3 on x is roughly quadratic, as Lacasse et al.—again, in linewith Surface Evolver calculations.
Fig. 3Variation of energy with liquid fraction: cone model prediction(Z ¼ 12) and Surface Evolver calculation for fcc.
Fig. 6 shows P~(f), as computed numerically for the cone
+2

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