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Part 1212-1.2

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Part 12: Condensed Matter·60 entries

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Section 12-12 entries

12-1.1lattice vector 12-1.2fundamental lattice vectors

12-1.2

fundamental lattice vectors

URNurn:iso:std:iso:80000:-12:ed-2:en:item:12-1.2

Download RDF.jsonld .ttl

https://metanorma.github.io/isq-smart/quantities/part-12/t12-1.2
urn:iso:std:iso:80000:-12:ed-2:en:item:12-1.2

ISQ Identifiers

ISO

urn:iso:std:iso:80000:-12:ed-2:en:item:12-1.2

IEC

urn:iec:std:iec:80000-12:2019:::item:12-1.2

Designations

ENfundamental lattice vectors

FRvecteurs de base

Symbol

a_{1}, a_{2}, a_{3}

a, b, c

Notation systems

Rendered

a_{1}, a_{2}, a_{3}

Rendered

a, b, c

AsciiMath

bb(ii(a))_1, bb(ii(a))_2, bb(ii(a))_3

AsciiMath

bb(ii(a)), bb(ii(b)), bb(ii(c))

LaTeX

\mathbf{\mathit{a}}_{1} , \mathbf{\mathit{a}}_{2} , \mathbf{\mathit{a}}_{3}

LaTeX

\mathbf{\mathit{a}} , \mathbf{\mathit{b}} , \mathbf{\mathit{c}}

Definition

fundamental translation vectors for the crystal lattice

vecteurs de base de la maille cristalline

Units

m

metre

View related quantities →

Notes

The lattice vector (lattice vector) can be given as

R = n_{1} a_{1} + n_{2} a_{2} + n_{3} a_{3}

where $n_{1}$ , $n_{2}$ and $n_{3}$ are integers.

Le vecteur du réseau (lattice vector) peut être donné par :

R = n_{1} a_{1} + n_{2} a_{2} + n_{3} a_{3}

où $n_{1}$ , $n_{2}$ et $n_{3}$ sont des nombres entiers.

Concept HierarchyPendrill (2024)

Llength-type quantitiesLevel 0 · Kind

Broader concepts

◇ length-type quantities

Characterizes

● crystal● lattice

Ontology
isq:Quantity smart:TermEntry

Class Hierarchy

smart:Entity smart:TermEntryisq:Quantity

A physical quantity as defined in ISO/IEC 80000, with associated symbols, definitions, and units of measurement.

Instance IRI

isq:t12-1.2

Properties

isq:QuantityShape

Property	Value
rdf:type	isq:Quantity smart:TermEntry
dcterms:identifier	12-1.2
skosxl:prefLabel	"fundamental lattice vectors"@en
skosxl:altLabel	"bb(ii(a))_1, bb(ii(a))_2, bb(ii(a))_3"@en"bb(ii(a)), bb(ii(b)), bb(ii(c))"@en
skos:definition	fundamental translation vectors for the crystal lattice
skos:note	The lattice vector (<<t12-1.1>>) can be given as [stem%unnumbered] ++++ bb(ii(R)) = n_1 bb(ii(a))_1 + n_2 bb(ii(a))_2 +…
isq:hasUnit	m (metre)
isq:hasDimension	isq:Dimension
smart:hasBindingnessType	bindingness-type:normative
dcterms:isPartOf	isq:part-12

Related Entities

isq:QuantityShape isq:part-12 isq:Unit isq:Dimension isq:hasDimension smart:TermEntry