Double-slit X-ray dynamical diffraction in elastically deformed crystals.

Area of Science:

• Condensed matter physics
• Crystallography
• Optics

Background:

• Dynamical diffraction theory describes wave propagation in crystals.
• X-ray Laue diffraction is sensitive to crystal lattice distortions.
• Temperature gradients induce stress and strain in crystalline materials.

Purpose of the Study:

• To investigate the formation of interference fringes in X-ray Laue diffraction under a temperature gradient.
• To analyze the influence of temperature gradient direction and magnitude on fringe characteristics.
• To explore the sensitivity of fringe position to deviations from the Bragg condition.

Main Methods:

• Theoretical investigation of double-slit X-ray Laue symmetrical diffraction.
• Analysis of dynamical diffraction equations incorporating a constant temperature gradient.
• Derivation of expressions for fringe period and contrast.

Main Results:

• Formation of Young's fringe-like interference patterns on the crystal exit surface.
• Optimized fringe contrast observed when the temperature gradient is parallel to the diffraction vector.
• Obtained an expression for fringe period dependent on the temperature gradient modulus and polarization.
• Fringe position is highly sensitive to deviations from the Bragg angle, with small angular changes causing significant spatial shifts.

Conclusions:

• Temperature gradients in crystals can generate observable interference phenomena in X-ray diffraction.
• The direction and magnitude of the temperature gradient significantly influence the visibility and characteristics of these fringes.
• This phenomenon offers a novel method for probing crystal deformation and Bragg condition deviations with high precision.