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The Weibull distribution or Rosin–Rammler distribution is a useful distribution for representing particle size distributions generated by grinding, milling and crushing operations. The log-hyperbolic distribution was proposed by Bagnold and Barndorff-Nielsen [9] to model the particle-size distribution of naturally occurring sediments. This ...
Particle size is a notion introduced for comparing dimensions of solid particles (), liquid particles (), or gaseous particles ().The notion of particle size applies to particles in colloids, in ecology, in granular material (whether airborne or not), and to particles that form a granular material (see also grain size).
The Weibull distribution was first applied by Rosin & Rammler (1933) to describe particle size distributions. It is widely used in mineral processing to describe particle size distributions in comminution processes. In this context the cumulative distribution is given by
Through analysis of the resultant exponential autocorrelation function, average particle size can be calculated as well as a polydispersity index. For multi-exponential autocorrelation functions arising from polydisperse samples, deconvolution can give limited information about the particle size distribution profile.
Particle size analyzers are used also in biology to measure protein aggregation. Particle size distribution of antiviral vaccines subjected to cold-chain disruptions, analyzed by Dynamic Light Scattering (DLS) DLS is a particularly appreciated technique for the characterization of nanoparticles designed for drug delivery, such as vaccines.
Example showing the difference between D 50 and the De Brouckere Mean on a typical volume-weighted particle size distribution. The De Brouckere mean diameter is the mean of a particle size distribution weighted by the volume (also called volume-weighted mean diameter, volume moment mean diameter. [1] or volume-weighted mean size [2]). It is the ...