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.
All labels observed (4)
| Label | Occurrences |
|---|---|
| Ewald sphere construction | 1 |
| Laue equations canonical | 1 |
| Laue method | 1 |
| Laue method of X-ray diffraction | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T7021971 — resolving that mention is where its identity was fixed. The disambiguator weighed these candidate entities and picked the highlighted one (or “None”, minting a new entity). This is how homonymy is resolved: the same surface form can point to different entities.
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Laue equations Context triple: [Bragg's law, relatedConcept, Laue equations]
-
A.
Bragg's law
Bragg's law is a fundamental equation in X-ray crystallography that relates the angles at which X-rays are diffracted by crystal lattice planes to the spacing between those planes.
-
B.
Debye–Scherrer method
The Debye–Scherrer method is an X-ray powder diffraction technique used to determine the crystal structure and lattice parameters of polycrystalline materials.
-
C.
Neumann’s principle in crystallography
Neumann’s principle in crystallography is a fundamental rule stating that the symmetry elements of any physical property of a crystal must include the symmetry elements of the crystal’s point group.
-
D.
Kikuchi lines in electron diffraction
Kikuchi lines in electron diffraction are characteristic pairs of diffuse, intersecting bands in electron diffraction patterns that arise from inelastic and subsequent coherent scattering in crystals, and are widely used for precise crystallographic orientation analysis.
-
E.
Bragg
Bragg is a surname most famously associated with physicists William Henry Bragg and his son Lawrence Bragg, pioneers of X-ray crystallography and Nobel Prize laureates.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Laue equations Target entity description: 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.
-
A.
Bragg's law
Bragg's law is a fundamental equation in X-ray crystallography that relates the angles at which X-rays are diffracted by crystal lattice planes to the spacing between those planes.
-
B.
Debye–Scherrer method
The Debye–Scherrer method is an X-ray powder diffraction technique used to determine the crystal structure and lattice parameters of polycrystalline materials.
-
C.
Neumann’s principle in crystallography
Neumann’s principle in crystallography is a fundamental rule stating that the symmetry elements of any physical property of a crystal must include the symmetry elements of the crystal’s point group.
-
D.
Kikuchi lines in electron diffraction
Kikuchi lines in electron diffraction are characteristic pairs of diffuse, intersecting bands in electron diffraction patterns that arise from inelastic and subsequent coherent scattering in crystals, and are widely used for precise crystallographic orientation analysis.
-
E.
Bragg
Bragg is a surname most famously associated with physicists William Henry Bragg and his son Lawrence Bragg, pioneers of X-ray crystallography and Nobel Prize laureates.
- F. None of above. chosen
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
ⓘ
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
ⓘ
linked to:
Bragg's law
|
| namedAfter | Max von Laue ⓘ |
| relatedConcept |
Ewald sphere
ⓘ
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
ⓘ
linked to:
Laue equations
orientation determination of single crystals ⓘ |
| yearProposed | 1912 ⓘ |
How these facts were elicited
The pipeline generated the facts above by prompting gpt-5.1 with this entity's name + description and the instruction below.
Instruction
You are a knowledge base construction expert. Given a subject entity and a description of it, return factual statements that you know for the subject as a JSON list of dictionaries(triples), where keys must be "subject", "predicate" and "object". The number of facts may be very high, between 25 to 50 or more, for very popular subjects. For less popular subjects, the number of facts can be very low, like 5 or 10. # Requirements - If you don't know the subject at all, return an empty list. - If the subject is not a named entity, return an empty list. - Include at least one triple where predicate is "instanceOf". - Do not get too wordy. - Separate several objects into multiple triples with one object.
Input
Subject: Laue equations Description of subject: 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.
Referenced by (4)
Full triples — surface form annotated when it differs from this entity's canonical label.
linked to: Laue equations
linked to: Laue equations
linked to: Laue equations