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Title: An Improved Average Atomic Number Calculation for Estimating Backscatter and Continuum Production in Compounds
Abstract It is often assumed that electron backscatter and continuum (bremsstrahlung) productions emitted from electron-solid interactions during X-ray microanalysis in compounds can be extrapolated from pure element observations by means of the assumption of average atomic number, or Z-bar (Z¯). For pure elements the average Z is equal to the atomic number, but this direct approach fails for compounds. The use of simple atomic fractions yields completely spurious results, and while the commonly used mass fraction Z averaging produces fairly reasonable results, we know from physical considerations that the mass of the neutron plays only a negligible role in such interactions below ∼1 MeV. Therefore, including the mass or atomic weight in such calculations can only introduce further errors in these models. We present an expression utilizing atomic fractions of the atomic numbers of the elements in the compound (Z fraction), with an exponent to account for the variation in nuclear screening as a function of the element Z value.  more » « less
Award ID(s):
2012191
PAR ID:
10466397
Author(s) / Creator(s):
; ; ; ; ; ;
Date Published:
Journal Name:
Microscopy and Microanalysis
Volume:
29
Issue:
4
ISSN:
1431-9276
Page Range / eLocation ID:
1436 to 1449
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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