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. 2011 Apr 18;134(15):154104. doi: 10.1063/1.3578684

Figure 5.

Figure 5

Multiplication “rule” for mixtures of shapes. Values of D˜ eff (and Deff, inset) for the mixture of cylinders (χ1 = 4) and disks (χ2 = 1/16) with phase fractions f1 = f2 = 0.5 (circles) and for disks only (squares) and cylinders only (triangles) are plotted against the corresponding power-law approximations fα1c,1(ϕ) and fα2c,2(ϕ) (dashed lines), with parameters α1 = 3.6, ϕc,1 = 0.74 and α2 = 1.64, ϕc,2 = 0.953 taken from Ref. 1, and the multiplication rule, fα1c,11fα2c,22) (solid line); ϕ1=1−(1−ϕ)f12=1−(1−ϕ)f2. Error bars were smaller than the symbol sizes.