The Case of Intermediate Thickness Crystal

From the last two sections analysis there is noted how much different is the manifestation of the diffraction inside the crystal for the extreme cases considered toward the thick and respectively thin crystal. Consequently, also the consideration of the intermediate case appears as natural, i.e., characterized by the A condition, and separately imposed to the Laue and Bragg cases. However, reasonable will be that the values obtained in the relations (5.130) and (5.133) coupled with (5.135) to be found at the limit of the general expressions of the integrated reflection power of the cases Laue and Bragg for the crystal of intermediate thickness. 

FIGURE 5.28 ReflectionpowerindiffracteddirectionforLaue scasefortheinteraiediate crystal thickness (A=0.5, idl, n) without absorption after Zachariasen (1946). 

From Eq. (5.124) the integrated reflection power will be firstly rewritten such as  

by taking into account the zero order Bessel function integral definition  

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