A new method for determination of particle‐size distribution function from small angle scattering data

Particles with a diffusive surface, characterized by a deviation from the Porod power-law asymptotic behavior in small-angle scattering towards an exponent below −4, are considered with respect to the polydispersity problem. The case of low diffusivity is emphasized, which allows the description of the scattering length density distribution within spherically isotropic particles in terms of a continuous profile. This significantly simplifies the analysis of the particle-size distribution function, as well as the change in the scattering invariants under contrast variation. The effect of the solvent scattering contribution on the apparent exponent value in power-law-type scattering and related restrictions in the analysis of the scattering curves are discussed. The principal features and possibilities of the developed approach are illustrated in the treatment of experimental small-angle neutron scattering data from liquid dispersions of detonation nanodiamond. The obtained scattering length density profile of the particles fits well with a transition of the diamond states of carbon inside the crystallites to graphite-like states at the surface, and it is possible to combine the diffusive properties of the surface with the experimental shift of the mean scattering length density of the particles compared with that of pure diamond. The moments of the particle-size distribution are derived and analyzed in terms of the lognormal approximation.

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Oxide particle size distribution function in combustion of aluminum: Unsteady mode of condensation

High Temperature ◽

10.1134/s0018151x08040111 ◽

2008 ◽

Vol 46 (4) ◽

pp. 518-522

Author(s):

Yu. K. Karasevich ◽

S. A. Kozhukhov ◽

V. S. Posvyanskii

Keyword(s):

Particle Size ◽

Distribution Function ◽

Particle Size Distribution ◽

Size Distribution ◽

Oxide Particle ◽

Size Distribution Function ◽

Particle Size Distribution Function ◽

Oxide Particle Size

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Informational Measures of the Shape of the Amoroso Distributions for the Research of Dispersed Materials

Materials Science Forum ◽

10.4028/www.scientific.net/msf.1031.58 ◽

2021 ◽

Vol 1031 ◽

pp. 58-66

Author(s):

Vitaly Polosin

Keyword(s):

Particle Size ◽

Distribution Function ◽

Particle Size Distribution ◽

Size Distribution ◽

Applied Research ◽

Particle Distribution ◽

Size Distribution Function ◽

Distribution Model ◽

Information Uncertainty ◽

Particle Size Distribution Function

For the particle size distribution function various forms of exponential models are used to construct models of the properties of dispersed substance. The most difficult stage of applied research is to determine the shape of the particle distribution model. For the particle size distribution function various forms of exponential models are used to construct models of the properties of dispersed substance. The most difficult stage of applied research is to determine the shape of the particle distribution model. The article proposes a uniform model for setting the interval of information uncertainty of non-symmetric particle size distributions. Based on the analysis of statistical and information uncertainty intervals, new shape coefficients of distribution models are constructed, these are the entropy coefficients for shifted and non shifted distributions of the Amoroso family. Graphics of dependence of entropy coefficients of non-symmetrical distributions show that distributions well-known are distinguish at small of the shapes parameters. Also it is illustrated for parameters of the form more than 2 that it is preferable to use the entropy coefficients for the unshifted distributions.The material contains also information measures for the well-known logarithmic normal distribution which is a limiting case of distribution Amorozo.

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