X-Ray Absorption Factors for Cylindrical Samples in Annular Sample Cells Exposed to Incident Beams of Limited Width

Abstract

Expressions are derived for x‐ray absorption factors for a liquid or amorphous sample confined within a cylindrical sample cell. Sufficient geometrical parameters are included in the formulation to cover many experimental cases of practical interest. Various integrals involved are formulated in numerical calculus formulas adaptable to digital computer procedures. The statistical error caused by subtracting the cell background from the scattering of a cell and sample can be reduced substantially by limiting the volume of the cell material irradiated. The absorption factors calculated apply to uniform beams only; the approximation of absorption factors for nonuniform beams is discussed.