Miller indices conventions
E591488
Miller indices conventions are the standardized crystallographic notation rules used to label and describe crystal planes and directions in a crystal lattice.
All labels observed (2)
| Label | Occurrences |
|---|---|
| Miller indices | 1 |
| Miller indices conventions canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T6387703 — 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: Miller indices conventions Context triple: [Commission on Crystallographic Nomenclature, worksOn, Miller indices conventions]
-
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.
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.
-
C.
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.
-
D.
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.
-
E.
Alexander–Briggs notation
Alexander–Briggs notation is a classical system for naming and classifying knots in knot theory, assigning each distinct knot a unique label based on its crossing number and order in knot tables.
- 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: Miller indices conventions Target entity description: Miller indices conventions are the standardized crystallographic notation rules used to label and describe crystal planes and directions in a crystal lattice.
-
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.
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.
-
C.
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.
-
D.
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.
-
E.
Alexander–Briggs notation
Alexander–Briggs notation is a classical system for naming and classifying knots in knot theory, assigning each distinct knot a unique label based on its crossing number and order in knot tables.
- F. None of above. chosen
Statements (48)
| Predicate | Object |
|---|---|
| instanceOf |
crystallographic notation system
ⓘ
scientific convention ⓘ |
| appliesTo |
Bravais lattices
ⓘ
crystal lattice ⓘ |
| assumes | choice of crystallographic axes ⓘ |
| basedOn | reciprocal of intercepts with crystallographic axes ⓘ |
| clarifies |
orientation of cleavage planes
ⓘ
slip systems in crystals ⓘ texture and preferred orientation in polycrystals ⓘ |
| compatibleWith | 14 Bravais lattice types ⓘ |
| definesNotation |
Miller indices for directions [u v w]
ⓘ
Miller indices for planes (h k l) ⓘ families of directions ⟨u v w⟩ ⓘ families of planes {h k l} ⓘ |
| distinguishes | planes from directions by bracket style ⓘ |
| enables | comparison of crystallographic data across publications ⓘ |
| field | crystallography ⓘ |
| includesRule |
direction indices [u v w] are proportional to components of a vector in lattice coordinates
ⓘ
direction indices are reduced to the smallest set of integers with the same ratio ⓘ if a plane is parallel to an axis its intercept is taken as infinity and the corresponding index is zero ⓘ indices are integers with no common factor other than 1 ⓘ negative indices are written with a bar over the number ⓘ parallel planes share the same Miller indices ⓘ plane indices are proportional to reciprocals of axis intercepts ⓘ the origin is not considered an intercept when determining indices ⓘ |
| introducedIn | 19th century ⓘ |
| namedAfter | William Hallowes Miller ⓘ |
| relatedTo |
Miller–Bravais indices in hexagonal systems
ⓘ
reciprocal lattice ⓘ zone axis notation ⓘ |
| standardizedBy | International Union of Crystallography ⓘ |
| supports | systematic indexing of diffraction peaks ⓘ |
| usedFor |
describing crystal directions
ⓘ
describing crystal planes ⓘ labeling lattice directions ⓘ labeling lattice planes ⓘ |
| usedIn |
X-ray diffraction analysis
ⓘ
crystal structure determination ⓘ electron diffraction ⓘ materials science ⓘ metallurgy ⓘ neutron diffraction ⓘ semiconductor crystallography ⓘ solid-state physics ⓘ |
| usesBracketsType |
angle brackets ⟨u v w⟩ for families of symmetry-equivalent directions
ⓘ
curly brackets {h k l} for families of symmetry-equivalent planes ⓘ round brackets (h k l) for individual planes ⓘ square brackets [u v w] for individual directions ⓘ |
How these facts were elicited
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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: Miller indices conventions Description of subject: Miller indices conventions are the standardized crystallographic notation rules used to label and describe crystal planes and directions in a crystal lattice.
Referenced by (2)
Full triples — surface form annotated when it differs from this entity's canonical label.
linked to: Miller indices conventions