Abstract
An analytical derivation of the anticlastic radius R a of a thin plate bent to a principal R p and champed from two opposite sides is performed by minimization of the elastic free energy. This calculation is an improvement of a previously published one [M. Krisch et al., Nucl. Instr. and Meth. A305 (1991) 208] and it reinforces the general conclusion indicating that with suitable crystal dimensions, the anticlastic effect which would strongly degrade the optical performances of a sagitally focusing X-ray monochromator is small, and for low divergence beams the anticlastic effect is not important except at high energies.
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