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Symmetry Lab › D6h › Coronene

C₂₄H₁₂ Coronene

Seven fused rings, planar · point group D6h · order 24

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Point group
D6h — A C6 principal axis, 6 perpendicular C2 axes and a horizontal mirror plane; these also give 6 vertical planes and a centre of inversion.
Order
24
Operations
E, 2C₆, 2C₃, C₂, 3C₂′, 3C₂″, i, 2S₃, 2S₆, σh, 3σd, 3σᵥ
Shape
Seven fused rings, planar
Atoms
36 (C × 24, H × 12)

Symmetry elements of C₂₄H₁₂

  • C₆ — perpendicular to the plane; also C₃, C₂, S₆ and S₃
  • C₂′ (1) — through two opposite inner carbons
  • C₂′ (2) — through two opposite inner carbons
  • C₂′ (3) — through two opposite inner carbons
  • C₂″ (1) — through the centres of two opposite outer rings
  • C₂″ (2) — through the centres of two opposite outer rings
  • C₂″ (3) — through the centres of two opposite outer rings
  • i — centre of inversion
  • σh — the plane of the molecule
  • σᵥ (1) — contains the C₆ axis; through two opposite inner carbons
  • σᵥ (2) — contains the C₆ axis; through two opposite inner carbons
  • σᵥ (3) — contains the C₆ axis; through two opposite inner carbons
  • σd (1) — contains the C₆ axis; through the centres of two opposite outer rings
  • σd (2) — contains the C₆ axis; through the centres of two opposite outer rings
  • σd (3) — contains the C₆ axis; through the centres of two opposite outer rings
  • S₆ — rotate 60°, then reflect in σh
  • S₃ — rotate 120°, then reflect in σh

Structure

  • C–C 1.36–1.43 Å (one length shown)
  • A hexagonal "super-benzene" of 24 carbons
  • Twelve equivalent H around the rim
Coronene (C24H12) — D6h symmetry elements
Coronene: symmetry elements of the D6h point group

Other D6h molecules

Open in the 3D lab →  ·  All D6h molecules  ·  All point groups