Particle size distributions from SANS data using the maximum entropy method

Potton, J. A.; Daniell, G.J.; Rainford, B.D.

doi:10.1107/s0021889888004819

Cited by 162 publications

(113 citation statements)

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“…Data treatment and experimental setup are detailed in Wengeler et al [14]. The volume distributions were obtained by fitting the scattering curve with a maximum entropy method [20] using a program developed by Jemian et al [21].…”

Section: Validation With Sio 2 Agglomeratesmentioning

confidence: 99%

Distinguishing between aggregates and agglomerates of flame-made TiO2 by high-pressure dispersion

et al. 2008

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The potential of high-pressure dispersion (HPD) and dynamic light scattering (DLS) is explored for rapid and quantitative estimation of the extent of particle aggregation and agglomeration by analyzing the entire particle size distribution. Commercially available and tailor-made TiO 2 particles by flame spray pyrolysis (FSP) were characterized by X-ray diffraction, nitrogen adsorption and transmission electron microscopy (TEM). Volume distributions of these titania particles were obtained by DLS of their electrostatically stabilized (with Na 4 P 2 O 7 ) aqueous suspensions. Dispersing these suspensions through a nozzle at 200 to 1400 bar reduced the size of agglomerates (particles bonded by weak physical forces) resulting in bimodal size distributions composed of their constituent primary particles and aggregates (particles bonded by strong chemical or sinter forces). Sintering FSP-made particles from 200 to 800°C for 4 h progressively increased the minimum primary particle size (by grain growth) and aggregate size (by neck growth and phase transformation).

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Section: Validation With Sio 2 Agglomeratesmentioning

confidence: 99%

Distinguishing between aggregates and agglomerates of flame-made TiO2 by high-pressure dispersion

et al. 2008

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“…To understand the state of aggregation of the nanofibers, the size distribution from the light scattering data is determined using the maximum entropy (ME) method. [16][17][18] We used the Irena code (http://www. uni.aps.anl.gov/∼ilavsky/irena.html) developed by Ilavsky and Jemian to obtain the maximum-entropy solution.…”

Section: Introductionmentioning

confidence: 99%

How Does Surface Modification Aid in the Dispersion of Carbon Nanofibers?

et al. 2005

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Small-angle light scattering is used to assess the dispersion behavior of vapor-grown carbon nanofibers suspended in water. These data provide the first insights into the mechanism by which surface treatment promotes dispersion. Both acid-treated and untreated nanofibers exhibit hierarchical morphology consisting of small-scale aggregates (small bundles) that agglomerate to form fractal clusters that eventually precipitate. Although the morphology of the aggregates and agglomerates is nearly independent of surface treatment, their time evolution is quite different. The time evolution of the small-scale bundles is studied by extracting the size distribution from the angle-dependence of the scattered intensity, using the maximum entropy method in conjunction with a simplified tube form factor. The bundles consist of multiple tubes possibly aggregated side-by-side. Acid oxidation has little effect on this bundle morphology. Rather acid treatment inhibits agglomeration of the bundles. The time evolution of agglomeration is followed by fitting the scattering data to a generalized fractal model. Agglomerates appear immediately after cessation of sonication for untreated fibers but only after hours for treated fibers. Eventually, however, both systems precipitate.

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“…To understand the state of aggregation of the nanofibers, the size distribution from the light scattering data is determined using the maximum entropy (ME) method. (Potton, Daniell et al 1988;Morrison, Corcoran et al 1992;Boukari, Long et al 2000) We used the Irena code (http://www.uni.aps.anl.gov/ ~ilavsky/irena.html) developed by Ilavsky and Jemian to obtain the maximum-entropy solution. (Jemian, Weertman et al 1991;Ilavsky 2004) Fig.…”

Section: Morphology and Dispersion Of Pristine And Modified Carbon Namentioning

confidence: 99%

Morphology and Dispersion of Pristine and Modified Carbon Nanofibers in Water

Zhao¹

2010

Nanofibers

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Particle size distributions from SANS data using the maximum entropy method

Cited by 162 publications

References 4 publications

Distinguishing between aggregates and agglomerates of flame-made TiO2 by high-pressure dispersion

Distinguishing between aggregates and agglomerates of flame-made TiO2 by high-pressure dispersion

How Does Surface Modification Aid in the Dispersion of Carbon Nanofibers?

Morphology and Dispersion of Pristine and Modified Carbon Nanofibers in Water

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