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Symmetry Lab › D7h › Tropylium ion

C₇H₇⁺ Tropylium ion

Planar 7-membered ring · point group D7h · order 28

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Point group
D7h — A C7 principal axis, 7 perpendicular C2 axes and a horizontal mirror plane; these also give 7 vertical planes.
Order
28
Operations
E, 2C₇, 2C₇², 2C₇³, 7C₂, σh, 2S₇, 2S₇³, 2S₇⁵, 7σᵥ
Shape
Planar 7-membered ring
Atoms
14 (C × 7, H × 7)

Symmetry elements of C₇H₇⁺

  • C₇ — perpendicular to the ring
  • C₂ (1) — in the plane, through one atom and the opposite bond midpoint
  • C₂ (2) — in the plane, through one atom and the opposite bond midpoint
  • C₂ (3) — in the plane, through one atom and the opposite bond midpoint
  • C₂ (4) — in the plane, through one atom and the opposite bond midpoint
  • C₂ (5) — in the plane, through one atom and the opposite bond midpoint
  • C₂ (6) — in the plane, through one atom and the opposite bond midpoint
  • C₂ (7) — in the plane, through one atom and the opposite bond midpoint
  • σh — the plane of the ring
  • σᵥ (1) — perpendicular to the plane, through one atom
  • σᵥ (2) — perpendicular to the plane, through one atom
  • σᵥ (3) — perpendicular to the plane, through one atom
  • σᵥ (4) — perpendicular to the plane, through one atom
  • σᵥ (5) — perpendicular to the plane, through one atom
  • σᵥ (6) — perpendicular to the plane, through one atom
  • σᵥ (7) — perpendicular to the plane, through one atom
  • S₇ — rotate 51.42857142857143°, then reflect in σh

Structure

  • C–C 1.40 Å (all equal)
  • Six π electrons in a seven-membered ring
  • The first non-benzenoid aromatic cation
Tropylium ion (C7H7+) — D7h symmetry elements
Tropylium ion: symmetry elements of the D7h point group

Open in the 3D lab →  ·  All D7h molecules  ·  All point groups