Refraction in general asymmetric X-ray Bragg diffraction.

Area of Science:

• X-ray optics
• Crystallography
• Synchrotron radiation

Background:

• Bragg diffraction typically assumes parallel alignment between crystal surfaces and crystallographic planes.
• Deviations from this alignment lead to complex beam behavior, including refraction effects.

Purpose of the Study:

• To develop simple formulae describing beam deviation and angular differences during Bragg diffraction.
• To facilitate the design of sagittally focusing monochromators for synchrotron radiation.

Main Methods:

• Derivation of general formulae for X-ray diffraction-refraction phenomena.
• Application of these formulae to rotated-inclined X-ray monochromators.

Main Results:

• The study presents simple formulae quantifying beam deviation due to misalignment.
• These formulae accurately describe the angular differences between incident and diffracted beams.
• The phenomena of diffraction-refraction are characterized.

Conclusions:

• The derived formulae simplify the design of X-ray monochromators.
• Sagittally focusing monochromators for synchrotron radiation can be effectively designed using these principles.
• Understanding diffraction-refraction is crucial for advanced X-ray optics.