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Symmetry Lab › Td › Adamantane

C₁₀H₁₆ Adamantane

Three fused chairs (diamond fragment) · point group Td · order 24

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Point group
Td — The full symmetry of a regular tetrahedron: four C3 axes, three C2 axes (each also an S4 axis) and six dihedral mirror planes. There is no centre of inversion.
Order
24
Operations
E, 8C₃, 3C₂, 6S₄, 6σd
Shape
Three fused chairs (diamond fragment)
Atoms
26 (C × 10, H × 16)

Symmetry elements of C₁₀H₁₆

  • C₃ (1) — through one CH carbon
  • C₃ (2) — through one CH carbon
  • C₃ (3) — through one CH carbon
  • C₃ (4) — through one CH carbon
  • C₂ (x) — through two opposite CH₂ carbons
  • C₂ (y) — through two opposite CH₂ carbons
  • C₂ (z) — through two opposite CH₂ carbons
  • S₄ (x) — rotate 90°, then reflect
  • S₄ (y) — rotate 90°, then reflect
  • S₄ (z) — rotate 90°, then reflect
  • σd (1) — contains two CH carbons and two CH₂ carbons
  • σd (2) — contains two CH carbons and two CH₂ carbons
  • σd (3) — contains two CH carbons and two CH₂ carbons
  • σd (4) — contains two CH carbons and two CH₂ carbons
  • σd (5) — contains two CH carbons and two CH₂ carbons
  • σd (6) — contains two CH carbons and two CH₂ carbons

Structure

  • C–C 1.54 Å, C–H 1.10 Å
  • All C–C–C ≈ 109.5°
  • Four CH and six CH₂ carbons
Adamantane (C10H16) — Td symmetry elements
Adamantane: symmetry elements of the Td point group

Other Td molecules

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