Absorption and volume corrections for a cylindrical sample, larger than the X-ray beam, employed in Eulerian geometry

A treatment of the absorption and volume corrections for a cylindrical sample, which is larger than the X-ray beam and which is employed in `Eulerian cradle' geometry, is described. The procedure described here is strictly correct only for a one-dimensional X-ray beam, but it has given satisfactory results for a beam of finite cross section. The calculation is easily done by computer and requires only the radius of the sample, the 2θ and χ values for each reflection, and the zeros of Legendre polynomials and their weights if Gaussian integration is used.