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Symmetry Lab › Td › Tetrahedrane

C₄H₄ Tetrahedrane

Tetrahedron of CH units · 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
Tetrahedron of CH units
Atoms
8 (C × 4, H × 4)

Symmetry elements of C₄H₄

  • C₃ (1) — through one C–H bond
  • C₃ (2) — through one C–H bond
  • C₃ (3) — through one C–H bond
  • C₃ (4) — through one C–H bond
  • C₂ (x) — through the midpoints of two opposite C–C bonds
  • C₂ (y) — through the midpoints of two opposite C–C bonds
  • C₂ (z) — through the midpoints of two opposite C–C bonds
  • S₄ (x) — rotate 90°, then reflect
  • S₄ (y) — rotate 90°, then reflect
  • S₄ (z) — rotate 90°, then reflect
  • σd (1) — contains two C–H bonds
  • σd (2) — contains two C–H bonds
  • σd (3) — contains two C–H bonds
  • σd (4) — contains two C–H bonds
  • σd (5) — contains two C–H bonds
  • σd (6) — contains two C–H bonds

Structure

  • C–C 1.48 Å, C–H 1.07 Å
  • C–C–C 60°: the most strained ring system
  • Known only with bulky substituents
Tetrahedrane (C4H4) — Td symmetry elements
Tetrahedrane: symmetry elements of the Td point group

Other Td molecules

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