A new method for the determination of particle size distributions from small-angle neutron scattering measurements

1988 ◽  
Vol 21 (6) ◽  
pp. 891-897 ◽  
Author(s):  
J. A. Potton ◽  
G. J. Daniell ◽  
B. D. Rainford
Keyword(s):  
Particle Size ◽  
Neutron Scattering ◽  
Small Angle ◽  
Small Angle Neutron Scattering ◽  
New Method ◽  
Size Distributions ◽  
Particle Size Distributions ◽  
Scattering Measurements

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.

The Influence of the Available Scattering Vector Range on the Retrieval of Particle-Size Distributions from Small-Angle Scattering Intensity Data

1997 ◽  
Vol 30 (5) ◽  
pp. 808-810 ◽  
Author(s):  
M. Mulato ◽  
D. Tygel ◽  
I. Chambouleyron
Keyword(s):  
Particle Size ◽  
Small Angle ◽  
Numerical Experiments ◽  
Small Angle Scattering ◽  
Size Distributions ◽  
Intensity Data ◽  
Particle Size Distributions ◽  
Scattering Intensity ◽  
Angle Scattering

The determination of the particle-size distribution [D(r)] from small-angle scattering intensity data is discussed. The influence of the maximum available scattering vector h max on D(r) retrieval is investigated with the help of numerical experiments with previously known solutions. The numerical corrector method provides a good answer even in cases where h max is much smaller than those values necessary with other retrieval methods.

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