Evaluation of the anticlastic curvature of elastically bent crystals for X-ray focusing optics

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Abstract

An analytical derivation of the anticlastic radius Ra of a thin plate bent to a principal Rp 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.

References (5)

  • M. Krisch et al.

    Nucl. Instr. and Meth. A

    (1991)
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    Nucl. Instr. and Meth.

    (1988)
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1

Also at Laboratoire de Cristallographie, Centre National de la Recherche Scientifique, 166X, F-38042 Grenoble Cedex, France.

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