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

Saka, T.

doi:10.1107/S2053273318009865

Figure 6
Variations of p with $[{{s^{\rm r}} / {| \beta |}}]$ for the GaAs 200 reflection in Laue case B(1), where the X-ray energy is $[{\omega _k}]$ = 11.343 keV, which corresponds to the resonant condition of GaAs, and $[\theta _{\rm B}]$ = 11.12°. The values $[{\chi _g}^{\rm r}]$ = 0 and $[{\chi _g}^{\rm i}]$ = - 6.5 ×10^-7 were employed. (a) The following values were selected: δ = 0°, C = 1 and then sⁱ = 0 is derived. Between $[{{s^{\rm r}}/ {| \beta |}}]$ = −1 and $[{{s^{\rm r}} / {| \beta |}}]$ = 1, p = 0 and Θ = 0°. Therefore, the energy of the respective Bloch waves belonging to the different branches flows towards the centre direction (along the lattice plane). (b) The following values were selected: δ = 5°, C = 1 and then sⁱ = 1.84 ×10^-8 is derived. The quantity p for the wing (a) takes the minimum value of 3.44 ×10^-4 at $[{{s^{\rm r}} / {| \beta |}}]$ = 0, where Θ = 0.00387°, and that for the wing (b) takes the maximum value of - 2.15 ×10^-2 at $[{{s^{\rm r}} / {| \beta |}}]$ = 0, where Θ = −0.242°. (c) The following values were selected: δ = 10°, C = 1 and then sⁱ = 5.87 ×10^-8 is derived. The quantity p for the wing (a) takes the minimum value of 6.93 ×10^-4 at $[{{s^{\rm r}} / {| \beta |}}]$ = 0, where Θ = 0.00781°, and that for the wing (b) takes the maximum value of -6.99 ×10^{- 2} at $[{{s^{\rm r}}/ {| \beta |}}]$ = 0, where Θ = −0.0137°.

FOUNDATIONS
ADVANCES

ISSN: 2053-2733

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

https://doi.org/10.1107/S2053273318009865

Search IUCr Journals		doi		Advanced search
Author		volume	page