Abstract
The apparent particle size of distorted crystallites varies from independence of θ and λ (particle-size broadening) to proportionality with λ cosec θ (distortion broadening) as the parameter Eη sin θ/λ increases, where E is a particle size and η is an average strain. For a bent `orthorhombic' lamella of thickness T with axes chosen so that z is parallel to the axis of bending, x perpendicular to the lamella, and y perpendicular to x and z, the apparent particle size ε is given by {\epsilon = {{2T} \over p} {\int_{0}^{1}} {{\sin [2\pi A \xi(1-\xi)]} \over {2\pi A \xi}} d\xi,} where {A = {T \over p} {{|q^2 - c_{21}p^2/c_{11}| T} \over R} {{\sin \theta} \over \lambda},} R is the radius of curvature, p, q, r are the direction cosines of the reflecting planes, and c21 and c11 are elastic constants.
Keywords
Orthorhombic crystal systemBent molecular geometryCrystallographyPerpendicularDiffractionLamella (surface anatomy)PhysicsCondensed matter physicsCrystalliteDistortion (music)Crystal (programming language)OpticsMaterials scienceGeometryChemistryMathematicsComposite material
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Publication Info
- Year
- 1949
- Type
- article
- Volume
- 2
- Issue
- 4
- Pages
- 220-222
- Citations
- 13
- Access
- Closed
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Cite This
A. J. C. Wilson
(1949).
The diffraction of X-rays by distorted-crystal aggregates. II. Diffraction by bent lamellae.
Acta Crystallographica
, 2
(4)
, 220-222.
https://doi.org/10.1107/s0365110x49000588
Identifiers
- DOI
- 10.1107/s0365110x49000588