Determination of particle-size distributions from light-scattering measurement using Lucy-Richardson algorithm

2013 ◽  
Vol 52 (4) ◽  
pp. 043605 ◽  
Author(s):  
Fugui Yang ◽  
Anting Wang ◽  
Lei Dong ◽  
Hai Ming
Keyword(s):  
Particle Size ◽  
Light Scattering ◽  
Size Distributions ◽  
Particle Size Distributions ◽  
Light Scattering Measurement ◽  
Scattering Measurement

Maximum-entropy method as a routine tool for determination of particle size distributions by small-angle scattering

2004 ◽  
Vol 37 (1) ◽  
pp. 32-39 ◽  
Author(s):  
Dragomir Tatchev ◽  
Rainer Kranold
Keyword(s):  
Particle Size ◽  
Fourier Transform ◽  
Small Angle ◽  
Maximum Entropy Method ◽  
Entropy Method ◽  
Size Distributions ◽  
Particle Size Distributions ◽  
Angle Scattering ◽  
The Fourier Transform

Several aspects of the application of the maximum-entropy method (MEM) to the determination of particle size distributions by small-angle scattering (SAS) are discussed. The `historic' version of the MEM produces completely satisfying results. Limiting the data error from below (i.e.imposing a minimal relative error) is proposed as a solution of some convergence problems. The MEM is tested against the Fourier transform technique. The size distribution of Pb particles in an Al–Pb alloy is determined by the MEM and the Fourier transform technique. The size distributions obtained by transmission electron microscopy (TEM) and SAXS show partial agreement.

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