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X-ray scattering from a material under an external load

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Abstract

The differential X-ray scattering cross section of a polycrystalline sample placed in a high-pressure chamber under an arbitrary load has been calculated. It is shown that the broadening and displacement of most diffraction lines under shear load are, generally speaking, of the same order of magnitude, except for the reflections on the vectors parallel to threefold and higher order axes (these reflections do not undergo broad-ening). The scattering line shape contains information about the components of the compressibility tensor; to derive it, one needs a diffractometer resolution satisfying the condition δθ/θ < τ/G (τ is the shear stress and G is the typical shear modulus of the material studied). An experiment under hydrostatic load is analyzed, and it is shown that the differential bulk compressibility modulus of a polycrystal under pressure, which are derived from X-ray data, coincides with the value given by the natural strain theory.

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Correspondence to A. P. Kochkin.

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Original Russian Text © A.P. Kochkin, 2011, published in Kristallografiya, 2011, Vol. 56, No. 3, pp. 431–438.

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Kochkin, A.P. X-ray scattering from a material under an external load. Crystallogr. Rep. 56, 397–404 (2011). https://doi.org/10.1134/S1063774511030114

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  • DOI: https://doi.org/10.1134/S1063774511030114

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