Structure factors of polydisperse systems of hard spheres: A comparison of Monte Carlo simulations and Percus–Yevick theory

1986 ◽  
Vol 84 (8) ◽  
pp. 4625-4630 ◽  
Author(s):  
D. Frenkel ◽  
R. J. Vos ◽  
C. G. de Kruif ◽  
A. Vrij
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Simulations ◽  
Hard Spheres ◽  
Structure Factors

scholarly journals Patchy sticky hard spheres: Analytical study and Monte Carlo simulations

2007 ◽  
Vol 127 (23) ◽  
pp. 234507 ◽  
Author(s):  
Riccardo Fantoni ◽  
Domenico Gazzillo ◽  
Achille Giacometti ◽  
Mark A. Miller ◽  
Giorgio Pastore
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Simulations ◽  
Analytical Study ◽  
Hard Spheres

Low-voltage EDS of magnesium ferrite Dendrites in a FEG-SEM

1996 ◽  
Vol 54 ◽  
pp. 478-479
Author(s):  
Matthew T. Johnson ◽  
Ian M. Anderson ◽  
Jim Bentley ◽  
C. Barry Carter
Keyword(s):  
Monte Carlo ◽  
Quantitative Analysis ◽  
Monte Carlo Simulations ◽  
Cross Section ◽  
Spatial Resolution ◽  
Low Voltage ◽  
Magnesium Ferrite ◽  
X Ray ◽  
Interaction Volume ◽  
Ferrite Spinel

Energy-dispersive X-ray spectrometry (EDS) performed at low (≤ 5 kV) accelerating voltages in the SEM has the potential for providing quantitative microanalytical information with a spatial resolution of ∼100 nm. In the present work, EDS analyses were performed on magnesium ferrite spinel [(MgxFe1−x)Fe2O4] dendrites embedded in a MgO matrix, as shown in Fig. 1. spatial resolution of X-ray microanalysis at conventional accelerating voltages is insufficient for the quantitative analysis of these dendrites, which have widths of the order of a few hundred nanometers, without deconvolution of contributions from the MgO matrix. However, Monte Carlo simulations indicate that the interaction volume for MgFe2O4 is ∼150 nm at 3 kV accelerating voltage and therefore sufficient to analyze the dendrites without matrix contributions.Single-crystal {001}-oriented MgO was reacted with hematite (Fe2O3) powder for 6 h at 1450°C in air and furnace cooled. The specimen was then cleaved to expose a clean cross-section suitable for microanalysis.

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