A new method for determination of particle-size distribution function from small angle scattering data
- 1 January 1982
- journal article
- Published by AIP Publishing in Journal of Applied Physics
- Vol. 53 (1) , 245-249
- https://doi.org/10.1063/1.329983
Abstract
A new numerical method is presented for calculating the particle-size distribution function of dilute particle systems from Small Angle Scattering data. The size distribution function, in order to be always positive, is approximated by the square of a combination of cubic B-splines. The coefficients of the combination are calculated in reciprocal space using the weighted least squares principle, which leads to a variational problem, solved by a Newton-Gauss-Marquardt iterative technique. A strategy is presented to enhance resolution in correspondence to the peaks of the distribution. Some results obtained on simulated and experimental points are presented, showing the accuracy of the method.This publication has 26 references indexed in Scilit:
- A general analytical method for calculating particle-dimension distributions from scattering dataJournal of Applied Crystallography, 1978
- Application of spline functions to the correction of resolution errors in small-angle scatteringJournal of Applied Crystallography, 1971
- Precision determination of lattice parameters at low temperatures without the use of liquid gasesJournal of Applied Crystallography, 1971
- Determination of molecular weight distributions and particle scattering factors of the various species of an aggregating system from light‐scattering and low‐angle X‐ray scattering dataBiopolymers, 1970
- Small-Angle X-Ray Scattering Determination of Particle-Diameter Distributions in Polydisperse Suspensions of Spherical ParticlesJournal of Applied Physics, 1966
- Sur deux problèmes rélatifs à la diffusion des rayons X aux petits angles: détermination de la distribution des masses et correction du polychromatismeActa Crystallographica, 1957
- Particle-size distribution from small-angle X-ray scatteringActa Crystallographica, 1952
- Die parakristalline Feinstruktur natürlicher und synthetischer Eiweisse. Visuelles Näherungsverfahren zur Bestimmung der Schwankungstensoren von GitterzellenActa Crystallographica, 1951
- X-Ray Scattering at Small Angles by Finely-Divided Solids. II. Exact Theory for Random Distributions of Spheroidal ParticlesJournal of Applied Physics, 1947
- Theorie der Röntgenstrahlenstreuung an PartikelhaufenThe European Physical Journal A, 1939