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In the subtraction, the measured intensities were weighed by the transmission of the sample and the incident flux. To correct for the contributions from scattering by inhomogeneities inside the particles (fluctuation-induced scattering) and scattering by the suspending liquid, we adjusted the weighing factor slightly such that the final cross sections were positive for the measured range of s. Because the required changes in weighing factor are so small, this corresponds to subtracting a constant in the range of s where the subtraction has a significant influence.
-
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53
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5244255472
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note
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One exception is the silica system SC200, which appears to be 3% larger in ethanol than in water or dimethylformamide. The radius of the SC200 system in ethanol was reproduced in two different runs. We have no explanation for this difference.
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The first fringe is expected to be a little bit higher, because the first fringe in a Porod plot of the form factor of a perfect sphere is also higher than the other fringes.
-
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57
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5244378374
-
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note
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The theoretical relative error in a TEM polydispersity is 1/(2k - 2)1/2, where k is the number of particle diameters measured; for k = 50 the relative uncertainty is ≈ 10%. The situation improves only slowly with particle number.
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The small difference in electron density between the liquids used (DMF and water), as compared to the density of silica, does not cause significant changes in the shape of the scattering cross section.
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