Rapid calculation of x-ray absorption correction factors for cylinders to an accuracy of 0.1%.
Acta Crystallogr. Sect A. Cryst Phys Diffr Theor Gen Crystallogr 1975 Jan; A31(Pt 1):146-148
Accurate x-ray absorption correction factors a* for cylindrical samples were calculated in the range of the product of linear absorption coefficient u and cylinder radius r of 0 deg less than or equal to ur less than or equal to 2.5 and in the range of bragg angle 0 of 0 deg less than or equal to 0 less than or equal to 90 deg. A method of double numerical integration that is different from the method usually used resulted in a maximum error of 0.1% With the typical error being much less. A table of values of a* was prepared, and simple equations were obtained for interpolation between values in the table to an accuracy of 0.1% Or better. A full-range curve-fitting procedure that is accurate to 0.1% Was also developed for routine use when many values of a* must be calculated for a single sample.
OP; Journal Article
Acta Crystallographica. Section A, Crystal Physics, Diffraction, Theoretical and General Crystallography