The use of Monte-Carlo simulations to calculate small-angle scattering patterns

2002 ◽  
Vol 190 (1) ◽  
pp. 117-130 ◽  
Author(s):  
Bryan C. McAlister ◽  
Brian P. Grady
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Simulations ◽  
Small Angle ◽  
Small Angle Scattering ◽  
Angle Scattering

Small-angle scattering from collections of interacting hard ellipsoids of revolution studied by Monte Carlo simulations and other methods of statistical thermodynamics

1999 ◽  
Vol 32 (5) ◽  
pp. 917-923 ◽  
Author(s):  
Bo Sjöberg
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Simulations ◽  
Small Angle ◽  
Chemical Potential ◽  
Compressibility Factor ◽  
Particle Method ◽  
Spherical Particles ◽  
Angle Scattering ◽  
Approximation Formulas ◽  
Experimental Values

Computer simulations using Monte Carlo methods are used to investigate the effects of interparticle correlations on small-angle X-ray and neutron scattering from moderate or highly concentrated systems of ellipsoids of revolution. Both oblate and prolate ellipsoids, of varying eccentricities and concentrations, are considered. The advantage with Monte Carlo simulation is that completely general models, both regarding particle shapes and interaction potentials, can be considered. Equations are also given that relate the nonideal part of the chemical potential, βμni, with the scattering at zero angle,I(0), and the compressibility factor,z. The quantity βμnican be obtained during the Monte Carlo simulations by using Widom's test-particle method. For spherical particles, the simulations are compared with approximation formulas based on the Percus–Yevick equation. A method is also suggested for the calculation of both βμniandzfrom experimental values ofI(0) recorded as a function of concentration.

scholarly journals Improvements and considerations for size distribution retrieval from small-angle scattering data by Monte Carlo methods

2013 ◽  
Vol 46 (2) ◽  
pp. 365-371 ◽  
Author(s):  
Brian R. Pauw ◽  
Jan Skov Pedersen ◽  
Samuel Tardif ◽  
Masaki Takata ◽  
Bo B. Iversen
Keyword(s):  
Monte Carlo ◽  
Small Angle ◽  
Free Particle ◽  
Small Angle Scattering ◽  
Scattering Data ◽  
Convergence Criterion ◽  
Size Distributions ◽  
Trial And Error ◽  
Angle Scattering ◽  
Scattering Measurement

Monte Carlo (MC) methods, based on random updates and the trial-and-error principle, are well suited to retrieve form-free particle size distributions from small-angle scattering patterns of non-interacting low-concentration scatterers such as particles in solution or precipitates in metals. Improvements are presented to existing MC methods, such as a non-ambiguous convergence criterion, nonlinear scaling of contributions to match their observability in a scattering measurement, and a method for estimating the minimum visibility threshold and uncertainties on the resulting size distributions.

Monte Carlo calculation of angular transmission functions for small angle scattering

1980 ◽  
Vol 54 (1) ◽  
pp. 33-43 ◽  
Author(s):  
P.M.A. van der Kam ◽  
H.C.W. Beijerinck ◽  
W.J.G. Thijssen ◽  
J.J. Everdij ◽  
N.F. Verster
Keyword(s):  
Monte Carlo ◽  
Small Angle ◽  
Monte Carlo Calculation ◽  
Small Angle Scattering ◽  
Angle Scattering
Sign in / Sign up

Export Citation Format

Share Document