2001
DOI: 10.1016/s1387-1811(01)00292-x
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A negative deviation from Porod's law in SAXS of organo-MSU-X

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Cited by 62 publications
(46 citation statements)
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“…For such systems, a plot Q 4 dΣ/dΩ(Q) vs. Q 2 will reveal a straight line with negative slope Àα for large Q, which is known as negative deviation from the Porod law [32][33][34] (α > 4 in dΣ/dΩ(Q~Q Àα ). Such deviation was observed experimentally in SAXS studies of porous silica with the surface tethered with short hydrocarbon chains C n H m (derivatized silicas) [35] and organo-modified mesoporous molecular sieves with the organic groups covalently linked to the surface [36]. Positive deviations from the Porod law with α slightly less than 4 were documented in experiments on the structure of carbons and explained by short-range density fluctuations in these materials [17].…”
Section: ð6:56þmentioning
confidence: 77%
“…For such systems, a plot Q 4 dΣ/dΩ(Q) vs. Q 2 will reveal a straight line with negative slope Àα for large Q, which is known as negative deviation from the Porod law [32][33][34] (α > 4 in dΣ/dΩ(Q~Q Àα ). Such deviation was observed experimentally in SAXS studies of porous silica with the surface tethered with short hydrocarbon chains C n H m (derivatized silicas) [35] and organo-modified mesoporous molecular sieves with the organic groups covalently linked to the surface [36]. Positive deviations from the Porod law with α slightly less than 4 were documented in experiments on the structure of carbons and explained by short-range density fluctuations in these materials [17].…”
Section: ð6:56þmentioning
confidence: 77%
“…It is well known that only the scattering by an ideal two-phase system with sharp boundaries obeys Porod's law (Li et al, 2001). However, deviation from this law is often observed in practice.…”
Section: Mixing Within Phase and Fractal Dimension Of Starch Granulementioning
confidence: 99%
“… is the standard deviation of the Gaussian smoothing function which is a parameter related to the thickness of the interfacial layer. Then, for the negative deviation from the Porod's law, one obtains [7,9]:…”
Section: (2) Negative Deviationmentioning
confidence: 99%