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note
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The solutions in Figure 1 were prepared by mixing TPAOH (40% w/w, Alfa Aesar) with water, followed by the addition of TEOS (98%, Aldrich). The solutions were allowed to stir overnight prior to conductivity and pH measurements.
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18
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25844454183
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note
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The oblate ellipsoid shape agrees with the consensus in the literature that the nanoparticles have a nonspherical geometry: Watson et al., 1997 (cylinders) and Ravishankar et al., 1999 (slab).
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19
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0035898475
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25844476586
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note
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The SAXS intensities for Y = 40-60 are shown in Supporting Information (Section I). Pair-distance distribution functions (PDDFs) of the intensity patterns show that the nanoparticle size is approximately constant and that only the concentration of particles increases with silica concentration.
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25844502137
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note
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We have omitted any nonidealities by making activity coefficients equal to one.
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25844521643
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note
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a, np, is negligible (see Supporting Information, Section III. D).
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34
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25844481745
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note
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2O); however, these changes are insignificant and result in a small increase in the predicted pH. Details of these calculations are provided in Supporting Information (Section V).
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The complexation model was analyzed with varying δ (0.5-0.76) onthe basis of the potential range of nanoparticle densities (1.75-2.0 g/cm3), and it was shown that the surface potential can vary by ∼20 mV (see Supporting Information, Section III. D).
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50
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25844466170
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note
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np, N = 9.0 because this is the value reported by Sefcik and McCormick for the first dissociation constant of an oligomer.
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