Anisotropic elasticity of silicon and its application to the modelling of X-ray optics

Zhang, L.; Barrett, R.; Cloetens, P.; Detlefs, C.; Sanchez del Rio, M.

doi:10.1107/S1600577514004962

Journal of Synchrotron Radiation Journal of
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Figure 5
(a) Elastic modulus in the directions $[{\bf e}_1^{\,\prime}]$ and $[{\bf e}_2^{\,\prime}]$ . (b) Shear modulus and (c) Poisson's ratio in the directions 12 and 23 for silicon (111). The vector $[{\bf{e}}_1^{\,\prime}]$ is fixed in the normal direction [111], and the vectors $[{\bf e}_2^{\,\prime}]$ and $[{\bf e}_3^{\,\prime}]$ are in the crystal plane (111). The angle α is between the vectors $[{\bf e}_2^{\,\prime}]$ and [0 1 −1]/2^1/2 in the crystal plane: $[{\bf e}_2^{\,\prime}]$ (α = 0°) = [0 1 −1]/2^1/2, $[{\bf e}_2^{\,\prime}]$ (α = 90°) = [2 −1 −1]/6^1/2.

JOURNAL OF
SYNCHROTRON
RADIATION

ISSN: 1600-5775

Volume 21| Part 3| May 2014| Pages 507-517

https://doi.org/10.1107/S1600577514004962

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