Dm. Longo et al., Experimental method for determining Cliff-Lorimer factors in transmission electron microscopy (TEM) utilizing stepped wedge-shaped specimens preparedby focused ion beam (FIB) thinning, ULTRAMICROS, 80(2), 1999, pp. 85-97
An experimental method to determine the Cliff-Lorimer factor has been devel
oped utilizing an ultra-wide double-wedge (UWDW) FIB membrane geometry with
terraced steps that increase in thickness in increments of approximately 3
0 nm. Pure elements are deposited as thin films onto a single-crystal Si su
bstrate and energy dispersive X-ray spectroscopy (EDS) is performed on each
of the terrace steps. The linear relationship that exists between X-ray co
unts and specimen thickness can be established and the Cliff-Lorimer factor
(k-factor) determined. This method for experimental k-factor determination
can be used as an alternative to intimately mixed standards, when they are
difficult to obtain. The following general relation was developed to deter
mine the k-factor by this method: k(beta-alpha) = (m(alpha)/m(beta))(rho(be
ta)/rho(alpha)) where m(alpha) and m(beta) are the slopes of X-ray intensit
y vs. thickness plots for elements alpha and beta, respectively; and rho(al
pha) and rho(beta) are the mass densities of elements alpha and beta. A pol
ycrystalline Wi thin him on a single crystal Si substrate was used to test
this method. The theoretical k-factor calculated for Wi and Si was k(Ni-Si)
= 1.50. Two k-factors were determined for the UWDW membrane using the appr
opriate microscope and detector conditions: k(Ni-Si)(Right) = 1.51 for the
terrace steps to the right of the specimen membrane, and k(Ni-Si)(Left) = 1
.56 for the terrace steps on the left side. These results agree to within 0
.44% and 2.67%, respectively, of the calculated theoretical value. (C) 1999
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