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Symmetry Lab › D3h › Cyclopropane

C₃H₆ Cyclopropane

Planar three-membered ring · point group D3h · order 12

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Point group
D3h — A C3 principal axis, 3 perpendicular C2 axes and a horizontal mirror plane; these also give 3 vertical planes.
Order
12
Operations
E, 2C₃, 3C₂, σh, 2S₃, 3σᵥ
Shape
Planar three-membered ring
Atoms
9 (C × 3, H × 6)

Symmetry elements of C₃H₆

  • C₃ — perpendicular to the ring
  • C₂ (1) — in the ring plane, through one carbon
  • C₂ (2) — in the ring plane, through one carbon
  • C₂ (3) — in the ring plane, through one carbon
  • σh — the plane of the ring
  • σᵥ (1) — contains the C₃ axis and one CH₂ group
  • σᵥ (2) — contains the C₃ axis and one CH₂ group
  • σᵥ (3) — contains the C₃ axis and one CH₂ group
  • S₃ — rotate 120°, then reflect in σh

Structure

  • C–C 1.512 Å, C–H 1.083 Å
  • C–C–C 60° (ring strain), H–C–H 114.5°
  • Bent "banana" C–C bonds
Cyclopropane (C3H6) — D3h symmetry elements
Cyclopropane: symmetry elements of the D3h point group

Other D3h molecules

Open in the 3D lab →  ·  All D3h molecules  ·  All point groups