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Sedimentation Equilibrium of Mixtures of Charged Colloids

Sedimentation Equilibrium of Mixtures of Charged Colloids

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widths ξ i and block heights b i :n∑ξ i = Hi=1n∑b i ξ i = H ¯ηi=1(C.4)(C.5)Figure C.1 shows the full numerical solutions <strong>of</strong> a ternary system, with standardparameters as in tab. 4.1, charge number Z = (3000, 2500, 2000) andgravitational length L = (4, 3, 2)mm, together with the approximation withthe block model.0.010.008η i0.0060.0040.00200 5 10 15 20x (cm)Figure C.1: The full numerical solutions <strong>of</strong> a ternary system, with standardparameters as in tab. 4.1, charge number Z = (3000, 2500, 2000) and gravitationallength L = (4, 3, 2)mm, together with the approximation with theblock modelConclusion The block model is not accurate. It needs a fit parameter forthe jump constant t i . Moreover, the crossovers do not seem to be proportionalto ((Z N L n ) −2 − (Z n−1 L n−1 ) −2 ). A reason can be given by the lengths overwhich the crossovers take place, about 4 cm per crossover. A second reasonis the fact that the slopes <strong>of</strong> the pr<strong>of</strong>iles are not taken into account. Theslope model is therefore more accurate, and does not provide (much) morework.70

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