Energy flow of Bloch waves in X-ray dynamical diffraction in the Laue case for perfect crystals

Saka, T.

doi:10.1107/S2053273318009865

Figure 3
Variations of p with $[{{s^{\rm r}} / {| \beta |}}]$ under the reflection condition that $[\theta _{\rm B}]$ = 23.65° and the wavelength is 0.154 nm. (a) Laue case A(1). The following values of geometrical factors and the three parameters were selected: δ = 10°, C = 1, $[{{s^{\rm i}}/ {\beta ^{\rm r}}}]$ = 0.60 and $[{{\beta ^{\rm i}} / {\beta ^{\rm r}}}]$ = −3.8. The energy of the respective Bloch waves belonging to the different branches flows towards the centre direction at $[{{s^{\rm r}} / {| \beta |}}]$ = 5.86 ×10^-1, where p = - 7.72 ×10^-2 and Θ = −1.94°. (b) Boundary between Laue case A(1) and Laue case B(1). The following values of geometrical factors and the three parameters were selected: δ = 16.1°, C = 1, $[{{s^{\rm i}} / {\beta ^{\rm r}}}]$ = 1.0 and $[{{\beta ^{\rm i}} / {\beta ^{\rm r}}}]$ = −3.8. The energy of the respective Bloch waves flows towards the centre direction at $[{{s^{\rm r}}/ {| \beta |}}]$ = 9.67 ×10^-1, where p = - 1.12 ×10^-1 and Θ = −2.82°. (c) Laue case B(1). The following values of geometrical factors and the three parameters were selected: δ = 20°, C = 1, $[{{s^{\rm i}} / {\beta ^{\rm r}}}]$ = 1.3 and $[{{\beta ^{\rm i}} / {\beta ^{\rm r}}}]$ = −3.8. At $[{{s^{\rm r}} / {| \beta |}}]$ = 7.66 ×10^-1, p for the wing (a) takes the minimum value 3.39 ×10^-2, where Θ = 0.851°, and that for the wing (b) takes the maximum value -3.41 ×10^-1, where Θ = −8.50°.

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ISSN: 2053-2733

Volume 74| Part 5| September 2018| Pages 578-585

https://doi.org/10.1107/S2053273318009865

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