Wigner 3-j symbol
type: Thing
alternate name: 3-j symbol
alternate name: 3-jm symbol
description: coefficients coupled with angular momentum
additional property: PropertyValue
  property ID: P279
  value: special function
additional property: PropertyValue
  property ID: P646
  value: /m/02713db
additional property: PropertyValue
  property ID: P2534
  value: \begin{pmatrix}j_1&j_2&j_3\\m_1&m_2&m_3\end{pmatrix}=\frac {(-1)^{j_1-j_2-m_3}}{\sqrt {2j_3+1}}\langle j_1m_1j_2m_2|j_3(-m_3)\rangle
additional property: PropertyValue
  property ID: P2812
  value: Wigner3j-Symbol
additional property: PropertyValue
  property ID: P6104
  value: WikiProject Mathematics
additional property: PropertyValue
  property ID: P6366
  value: 193715020
additional property: PropertyValue
  property ID: P7235
  value: \begin{pmatrix}j_1&j_2&j_3\\m_1&m_2&m_3\end{pmatrix}
additional property: PropertyValue
  property ID: P7235
  value: \langle j_1m_1j_2m_2|j_3(-m_3)\rangle
confidence:
  popularity graph score:
    score: 0.009
    score pct: 1
    tier: long_tail
    components:
      sitelinks: 11
      sitelinks norm: 0.026
      unique citations: 1
      unique citations norm: 0.0
      monthly pageviews: 320
      monthly pageviews norm: 0.0
  sitelinks: 11
  unique citations: 1
  monthly pageviews: 320
  yearly pageviews: 728
  pageview trend:
    m: 2026-08
    v: 320
  pageview trend:
    m: 2026-07
    v: 103
  pageview trend:
    m: 2026-06
    v: 98
  pageview trend:
    m: 2026-05
    v: 5
  pageview trend:
    m: 2026-05
    v: 29
  pageview trend:
    m: 2026-05
    v: 1
  pageview trend:
    m: 2026-05
    v: 6
  pageview trend:
    m: 2026-04
    v: 1
  pageview trend:
    m: 2026-04
    v: 2
  pageview trend:
    m: 2026-04
    v: 160
  pageview trend:
    m: 2026-04
    v: 1
  pageview trend:
    m: 2026-04
    v: 1
  pageview trend:
    m: 2026-04
    v: 1
  popularity:
    sitelinks: 11
    max: 423
    pct: 2.6
  tier: long_tail
claims:
  P279:
    value: Q867707
    source count: 0
    confidence: 0.0
    value label: special function
  P646:
    value: /m/02713db
    source count: 1
    confidence: 0.2
  P2534:
    value: \begin{pmatrix}j_1&j_2&j_3\\m_1&m_2&m_3\end{pmatrix}=\frac {(-1)^{j_1-j_2-m_3}}{\sqrt {2j_3+1}}\langle j_1m_1j_2m_2|j_3(-m_3)\rangle
    source count: 0
    confidence: 0.0
  P2812:
    value: Wigner3j-Symbol
    source count: 0
    confidence: 0.0
  P6104:
    value: Q8487137
    source count: 0
    confidence: 0.0
    value label: WikiProject Mathematics
  P6366:
    value: 193715020
    source count: 0
    confidence: 0.0
  P7235:
    value: \begin{pmatrix}j_1&j_2&j_3\\m_1&m_2&m_3\end{pmatrix}
    source count: 0
    confidence: 0.0
  P7235:
    value: \langle j_1m_1j_2m_2|j_3(-m_3)\rangle
    source count: 0
    confidence: 0.0
citations:
  source: Freebase Data Dumps
  stated in qid: Q15241312
  pub year: 2013
meta:
  wikidata id: Q2570568
  domain: general
  level: standard
  html url: https://4ort.xyz/entity/wigner-3-j-symbol
  markdown url: https://4ort.xyz/entity/wigner-3-j-symbol.md
  facts url summary: https://4ort.xyz/entity/wigner-3-j-symbol/facts.json
  facts url standard: https://4ort.xyz/entity/wigner-3-j-symbol/facts.json
  facts url full: https://4ort.xyz/entity/wigner-3-j-symbol/facts.json
  data source: Wikidata (CC0 / public domain)
  license: https://creativecommons.org/publicdomain/zero/1.0/
  api version: v1
  served at: 2026-08-24T14:46:01.254005Z
  entity updated at: 2026-04-10T23:29:33.649805+00:00Z
  entity created at: 2026-04-10T23:29:33.649805+00:00Z