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Radiometric diameter concept and exact intensities for spherical particles in x‐ray fluorescence analysis
Author(s) -
Markowicz A.,
Van Dyck P.,
Van Grieken R.
Publication year - 1980
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.1300090205
Subject(s) - fluorescence , absorption (acoustics) , particle (ecology) , radiometric dating , intensity (physics) , path length , x ray , x ray fluorescence , geometry , optics , physics , materials science , chemistry , mathematics , geology , remote sensing , oceanography
In X‐ray fluorescence analysis the concept of radiometric diameter, d , is often introduced in considerations of the fluorescent intensity from a particulate sample. It represents the mean geometric path of the X‐rays through one particle and is usually simply taken to be equal to the volume‐to‐area ratio of the particle. The effective radiometric path is, however, itself dependent on geometry and absorption effects. Rigorous calculations of the fluorescent intensity from a particle in the π and π/2 geometries were carried out to evaluate the errors involved. It appears that, for π geometry, the discrepancy between these exact results and the intensity calculated via the use of d does not exceed 5.2%. For the π/2 geometry, the errors are much larger and can amount to 50% in realistic cases of X‐ray fluorescence analysis. These conclusions are also applicable to monolayers. The effective radiometric diameter approaches d only when absorption effects become negligible, but is smaller in other cases.