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Symmetry Lab4AB · ABC Chemistry

Symmetry Lab › D3d › Cyclohexane (chair)

C₆H₁₂ Cyclohexane (chair)

Chair · point group D3d · order 12

Open C₆H₁₂ in 3D →

Point group
D3d — A C3 principal axis, 3 perpendicular C2 axes and 3 dihedral mirror planes that bisect them; the principal axis is also an S6 axis.
Order
12
Operations
E, 2C₃, 3C₂, i, 2S₆, 3σd
Shape
Chair
Atoms
18 (C × 6, H × 12)

Symmetry elements of C₆H₁₂

  • C₃ — through the centre of the ring
  • C₂ (1) — through the midpoints of two opposite C–C bonds
  • C₂ (2) — through the midpoints of two opposite C–C bonds
  • C₂ (3) — through the midpoints of two opposite C–C bonds
  • i — centre of inversion
  • S₆ — rotate 60°, then reflect
  • σd (1) — contains the C₃ axis and two opposite carbons
  • σd (2) — contains the C₃ axis and two opposite carbons
  • σd (3) — contains the C₃ axis and two opposite carbons

Structure

  • C–C 1.535 Å, C–H 1.094 Å
  • Ring angles ≈ 111°
  • Six axial and six equatorial H
Cyclohexane (chair) (C6H12) — D3d symmetry elements
Cyclohexane (chair): symmetry elements of the D3d point group

Other D3d molecules

S₆Cyclo-hexasulfur (chair)Si₂H₆Disilane (staggered)C₂H₆ (staggered)Ethane, staggered

Open in the 3D lab →  ·  All D3d molecules  ·  All point groups