Neumann’s principle in crystallography
E458004
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.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Neumann’s principle in crystallography canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T4659043 — 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: Neumann’s principle in crystallography Context triple: [Franz Ernst Neumann, notableWork, Neumann’s principle in crystallography]
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A.
International Tables for Crystallography
International Tables for Crystallography is a comprehensive, authoritative multi-volume reference work that provides standardized data, symmetry information, and methodologies essential for crystallographic research and practice.
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B.
X-rays and Crystal Structure
"X-rays and Crystal Structure" is a foundational scientific work by Lawrence Bragg that explains how X-ray diffraction can be used to determine the atomic structure of crystals.
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C.
Journal of Applied Crystallography
The Journal of Applied Crystallography is a peer-reviewed scientific journal focusing on the application of crystallography to materials science, physics, chemistry, and related fields.
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D.
Acta Crystallographica Section A
Acta Crystallographica Section A is a peer-reviewed scientific journal focusing on the foundations of crystallography, including theory, methods, and the principles underlying crystal structure analysis.
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E.
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.
- 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: Neumann’s principle in crystallography Target entity description: 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.
-
A.
International Tables for Crystallography
International Tables for Crystallography is a comprehensive, authoritative multi-volume reference work that provides standardized data, symmetry information, and methodologies essential for crystallographic research and practice.
-
B.
X-rays and Crystal Structure
"X-rays and Crystal Structure" is a foundational scientific work by Lawrence Bragg that explains how X-ray diffraction can be used to determine the atomic structure of crystals.
-
C.
Journal of Applied Crystallography
The Journal of Applied Crystallography is a peer-reviewed scientific journal focusing on the application of crystallography to materials science, physics, chemistry, and related fields.
-
D.
Acta Crystallographica Section A
Acta Crystallographica Section A is a peer-reviewed scientific journal focusing on the foundations of crystallography, including theory, methods, and the principles underlying crystal structure analysis.
-
E.
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.
- F. None of above. chosen
Statements (47)
| Predicate | Object |
|---|---|
| instanceOf |
crystallographic principle
ⓘ
physical principle ⓘ |
| appliesTo |
crystals
ⓘ
physical properties of crystals ⓘ |
| appliesToPropertyType |
conductivity tensors
ⓘ
dielectric properties ⓘ elastic properties ⓘ magnetic properties ⓘ optical properties ⓘ piezoelectric properties ⓘ thermal expansion ⓘ |
| assumes | crystal described by a point group ⓘ |
| category | symmetry principle in physics ⓘ |
| constraintType | symmetry constraint ⓘ |
| coreStatement | The symmetry elements of any physical property of a crystal must include the symmetry elements of the crystal’s point group. ⓘ |
| domainOfApplication |
linear response properties
ⓘ
nonlinear optical properties ⓘ |
| field |
crystallography
ⓘ
materials science ⓘ solid-state physics ⓘ |
| holdsFor | all 32 crystallographic point groups ⓘ |
| implies |
degeneracies in physical properties follow crystal symmetry
ⓘ
forbidden tensor components must vanish ⓘ physical property symmetry cannot be lower than crystal point group symmetry ⓘ |
| involvesConcept |
anisotropy
ⓘ
crystal point group ⓘ material symmetry ⓘ symmetry elements ⓘ tensor properties ⓘ |
| mathematicalFormulation | property tensors must be invariant under all symmetry operations of the crystal point group ⓘ |
| namedAfter | Franz Ernst Neumann ⓘ |
| relatedTo |
Curie’s principle
ⓘ
representation theory of point groups ⓘ tensor transformation laws ⓘ |
| relatesSymmetryOf | physical properties ⓘ |
| relatesSymmetryTo | crystal point group symmetry ⓘ |
| status | widely accepted in crystallography ⓘ |
| usedFor |
constraining physical property tensors
ⓘ
determining allowed tensor components ⓘ predicting anisotropy of physical properties ⓘ |
| usedIn |
crystal optics
ⓘ
elasticity theory of crystals ⓘ group-theoretical analysis of crystals ⓘ magnetocrystalline anisotropy analysis ⓘ materials characterization ⓘ piezoelectricity analysis ⓘ |
| validFor | equilibrium physical properties ⓘ |
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: Neumann’s principle in crystallography Description of subject: 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.
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.