98 the local interaction of the specimen and the beam. These stray electrons and x-rays can be mostly eliminated by proper specimen shielding and by proper design of the column. The 400T STEM at Oak Ridge National Lab is properly modified to minimize spurious x-ray fluorescence through the use of top hat condenser apertures, and to reduce sprayed, uncollimated electrons through the use of spray apertures below the condenser lenses. Hole counts are consequently low, in the neighborhood of 1 to 2 percent of the total elemental counts when the beam is on the sample. A hole count spectrum was always accummulated for each specimen and subtracted from each specimen generated spectrum before any subsequent curve fitting and peak deconvolution (Zaluzec, 1979). The specimen related effects are more difficult to assess. These effects are primarily due to absorption of specimen generated x-rays by the specimen itself. The most common method for quantitative analysis in the analytical TEM follows the Cliff-Lorimer equation (Cliff and Lorimer, 1972). This equation relates the ratio of the concentrations of unknowns in the sample to the ratios of the beam generated x-ray itensities: CA/CB = (K) IA/lB, The major assumption in the equation is that the k term, the proportionality constant, is independent of the specimen thickness. This assumption is not valid