Laue equations
E637000
Laue equations are a set of mathematical conditions that describe the diffraction of X-rays by a crystal lattice in reciprocal space, providing a more general formulation than Bragg’s law.
Statements (46)
| Predicate | Object |
|---|---|
| instanceOf |
concept in crystallography
ⓘ
set of equations ⓘ theory of X-ray diffraction ⓘ |
| appliesTo |
periodic crystal lattices
ⓘ
three-dimensional crystal structures ⓘ |
| assumes |
elastic scattering of X-rays
ⓘ
monochromatic X-ray radiation in basic form ⓘ |
| category |
diffraction theory
ⓘ
reciprocal space formalism ⓘ |
| describes |
diffraction in reciprocal space
ⓘ
diffraction of X-rays by a crystal lattice ⓘ |
| dimension | three-dimensional ⓘ |
| equivalentTo | Bragg’s law under specific geometrical conditions ⓘ |
| expresses |
conditions for constructive interference of X-rays
ⓘ
momentum conservation in crystal diffraction ⓘ |
| field |
X-ray crystallography
NERFINISHED
ⓘ
crystallography ⓘ solid-state physics ⓘ |
| formulatedIn | reciprocal space ⓘ |
| foundationFor |
kinematic theory of diffraction
ⓘ
single-crystal diffraction analysis ⓘ |
| hasComponentForm | h a* + k b* + l c* = k' − k ⓘ |
| hasForm | k' − k = G ⓘ |
| implies | diffracted intensity is nonzero only when Laue conditions are satisfied ⓘ |
| involves |
Miller indices h, k, l
ⓘ
diffracted wavevector k' ⓘ incident wavevector k ⓘ reciprocal basis vectors a*, b*, c* ⓘ reciprocal lattice vector G ⓘ |
| mathematicalNature | vector equations ⓘ |
| moreGeneralThan | Bragg’s law NERFINISHED ⓘ |
| namedAfter | Max von Laue NERFINISHED ⓘ |
| relatedConcept |
Ewald sphere
NERFINISHED
ⓘ
reciprocal lattice ⓘ structure factor ⓘ |
| relatedTo | Fourier description of crystals ⓘ |
| relates |
diffracted X-ray wavevector
ⓘ
incident X-ray wavevector ⓘ reciprocal lattice vectors ⓘ |
| requires | periodic translational symmetry ⓘ |
| usedFor |
analyzing Laue diffraction experiments
ⓘ
determining crystal orientation ⓘ indexing diffraction patterns ⓘ |
| usedIn |
Laue method of X-ray diffraction
NERFINISHED
ⓘ
orientation determination of single crystals ⓘ |
| yearProposed | 1912 ⓘ |
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.