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An extrapolation method for the determination of Cliff‐Lorimer k AB factors at zero foil thickness
Author(s) -
Horita Zenji,
Sano Takeshi,
Nemoto Minoru
Publication year - 1986
Publication title -
journal of microscopy
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.569
H-Index - 111
eISSN - 1365-2818
pISSN - 0022-2720
DOI - 10.1111/j.1365-2818.1986.tb02779.x
Subject(s) - extrapolation , foil method , intersection (aeronautics) , zero (linguistics) , line (geometry) , chemistry , mathematics , computational physics , analytical chemistry (journal) , mathematical analysis , materials science , physics , geometry , composite material , linguistics , philosophy , chromatography , engineering , aerospace engineering
SUMMARY An extrapolation method is proposed to be useful for the determination of the Cliff‐Lorimer k AB factor at zero foil thickness. The method consists of measuring k AB factors as a function of the measured foil thickness, t M , and extrapolating the relationship toward t M =0. The intersection between the extrapolated line and the ordinate of t M =0 gives ( k AB ) 0 which is free from the effect of absorption. The straight line extrapolation that can be achieved by a linear‐least squares method is particularly developed to eliminate arbitrariness introduced in the extrapolation process. The extrapolation method is applied to data available in the literature. It is shown that the method yields the ( k AB ) 0 factors compatible with those predicted from the theoretical calculation. It is also shown that this method can circumvent several problems which make it complex and difficult to determine accurate values of the absorption‐free k AB factors. Using the straight line extrapolatioin, it is possible to estimate the degree of the thickness overestimation which arises when the foil thickness is measured by the contamination spot separation (CSS) method. Validity of the straight line extrapolation is further discussed.