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Tables of the absorption correction A* for cylindrical and spherical crystals were calculated by the Thorkildsen & Larsen [Acta Cryst. (1998), A54, 186–190] analytical method in the range of 0 ≤ μR ≤ 30 and 0 ≤ θ ≤ 90° with accuracies of 10−6 for cylindrical crystals and 2.0 × 10−6 for spherical crystals. Bivariate Chebyshev polynomial fitting formulae for A* are also provided for both cases. The maximum fitting error for spherical crystals is 6 × 10−3 and the average error ranges from 7 × 10−5 to 3 × 10−4. All the important tables and the fitting program are provided in the supplementary material.