“…Fortunately, as shown below, density related factors cancel out in the fi nal expression for A(θ) and sample density evaluations are not required. By comparison, quantifi cation methods based on direct measurements of sample absorption coeffi cients are experimentally complicated and prone to systematic errors (e.g., Lennox 1957). Next, in taking mass absorption into account in the actual diffraction experiment, we consider that the radiation is transformed in successive steps as: (1) incident beam intensity, I o , (2) surviving incident intensity at depth d within the sample, after mass absorption removal, (3) scattering (both modifi ed and unmodifi ed) of the latter local incident radiation by the material at depth d, per elementary volume of material at depth d, and (4) surviving outgoing scattered radiation, after an additional mass absorption on exit from depth d within the sample.…”