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Symmetry Lab › D∞h › Carbon suboxide

C₃O₂ Carbon suboxide

Linear · point group D∞h · order ∞

Open C₃O₂ in 3D →

Point group
D∞h — A linear molecule with a centre of inversion: the C∞ axis, the planes containing it, a perpendicular mirror plane and an infinite number of perpendicular C2 axes.
Order
∞
Operations
E, 2C∞, ∞σᵥ, i, 2S∞, ∞C₂
Shape
Linear
Atoms
5 (O × 2, C × 3)

Symmetry elements of C₃O₂

  • C∞ — the molecular axis: any rotation leaves the molecule unchanged
  • σᵥ (one of ∞) — any plane containing the axis
  • σᵥ (another) — any plane containing the axis
  • i — centre of inversion
  • σh — perpendicular to the axis, through the centre
  • C₂ (one of ∞) — any line through the centre perpendicular to the axis
  • C₂ (another) — same, at right angles
  • S∞ — any rotation about the axis, then reflect in σh

Structure

  • C=C 1.28 Å, C=O 1.17 Å
  • O=C=C=C=O linear (on average)
  • A five-atom cumulene
Carbon suboxide (C3O2) — D∞h symmetry elements
Carbon suboxide: symmetry elements of the D∞h point group

Other D∞h molecules

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