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Symmetry Lab › D8h › Cyclo-octatetraene dianion (planar)

C₈H₈²⁻ Cyclo-octatetraene dianion (planar)

Planar 8-membered ring · point group D8h · order 32

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Point group
D8h — A C8 principal axis, 8 perpendicular C2 axes and a horizontal mirror plane; these also give 8 vertical planes and a centre of inversion.
Order
32
Operations
E, 2C₈, 2C₈³, 2C₄, C₂, 4C₂′, 4C₂″, i, 2S₈, 2S₈³, 2S₄, σh, 4σᵥ, 4σd
Shape
Planar 8-membered ring
Atoms
16 (C × 8, H × 8)

Symmetry elements of C₈H₈²⁻

  • C₈ — perpendicular to the ring
  • C₂′ (1) — in the plane, through two opposite atoms
  • C₂′ (2) — in the plane, through two opposite atoms
  • C₂′ (3) — in the plane, through two opposite atoms
  • C₂′ (4) — in the plane, through two opposite atoms
  • C₂″ (1) — in the plane, through two opposite bond midpoints
  • C₂″ (2) — in the plane, through two opposite bond midpoints
  • C₂″ (3) — in the plane, through two opposite bond midpoints
  • C₂″ (4) — in the plane, through two opposite bond midpoints
  • i — centre of inversion
  • σh — the plane of the ring
  • σᵥ (1) — perpendicular to the plane, through two opposite atoms
  • σᵥ (2) — perpendicular to the plane, through two opposite atoms
  • σᵥ (3) — perpendicular to the plane, through two opposite atoms
  • σᵥ (4) — perpendicular to the plane, through two opposite atoms
  • σd (1) — perpendicular to the plane, through two opposite bond midpoints
  • σd (2) — perpendicular to the plane, through two opposite bond midpoints
  • σd (3) — perpendicular to the plane, through two opposite bond midpoints
  • σd (4) — perpendicular to the plane, through two opposite bond midpoints
  • S₈ — rotate 45°, then reflect in σh

Structure

  • C–C 1.41 Å (all equal)
  • Ten π electrons: aromatic and planar
  • The neutral tub (D2d) flattens on taking two electrons
Cyclo-octatetraene dianion (planar) (C8H82-) — D8h symmetry elements
Cyclo-octatetraene dianion (planar): symmetry elements of the D8h point group

Other D8h molecules

Open in the 3D lab →  ·  All D8h molecules  ·  All point groups