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The complete spectral response for EDXRF systems—calculation by Monte Carlo and analysis applications. 2—heterogeneous samples
Author(s) -
Doster Joseph M.,
Gardner Robin P.
Publication year - 1982
Publication title -
x‐ray spectrometry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.447
H-Index - 45
eISSN - 1097-4539
pISSN - 0049-8246
DOI - 10.1002/xrs.1300110410
Subject(s) - monte carlo method , homogeneous , statistical physics , particle (ecology) , matrix (chemical analysis) , particle size , sample size determination , position (finance) , scattering , computational physics , physics , statistics , mathematics , materials science , optics , chemistry , oceanography , finance , economics , composite material , geology
The Monte Carlo model for predicting the complete spectral response from homogeneous samples has been extended to heterogeneous samples which may be considered to be spherical particles suspended in a homogeneous matrix. The spherical particles may have any distribution of size and spatial position as specified input. The particle compositions are either: Model 1‐a homogeneous mixture of all the sample elements present or Model 2‐a single pure element appropriately chosen at random from those present. These two sample compositions should represent extremes of the matrix interferences encountered in practice and should, therefore, bound the x‐ray and source scattering spectral responses observed. The sample Monte Carlo results reported here for both heterogeneous models approach the limiting values predicted by the homogeneous model when used for decreasingly small particle sizes and generally exhibit a smooth relationship with particle size. Although comparisons with two sets of experimental results are not entirely satisfactory, the general trends are properly predicted. It is concluded that the models are accurate within our present capability of testing them (at present we only have available two particle spatial distributions for packing fractions of 0.4 and 0.6, both for particles of uniform size).