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Symmetry Lab › Td › Phosphorus(V) oxide

P₄O₁₀ Phosphorus(V) oxide

Adamantane-like cage · 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
Adamantane-like cage
Atoms
14 (P × 4, O × 10)

Symmetry elements of P₄O₁₀

  • C₃ (1) — through one P corner
  • C₃ (2) — through one P corner
  • C₃ (3) — through one P corner
  • C₃ (4) — through one P corner
  • C₂ (x) — through two opposite bridging O
  • C₂ (y) — through two opposite bridging O
  • C₂ (z) — through two opposite bridging O
  • S₄ (x) — rotate 90°, then reflect
  • S₄ (y) — rotate 90°, then reflect
  • S₄ (z) — rotate 90°, then reflect
  • σd (1) — contains two P and two O
  • σd (2) — contains two P and two O
  • σd (3) — contains two P and two O
  • σd (4) — contains two P and two O
  • σd (5) — contains two P and two O
  • σd (6) — contains two P and two O

Structure

  • P–O bridging 1.60 Å, P=O terminal 1.43 Å
  • P₄O₆ with a terminal O on every P
  • The dehydrating agent "P₂O₅"
Phosphorus(V) oxide (P4O10) — Td symmetry elements
Phosphorus(V) oxide: symmetry elements of the Td point group

Other Td molecules

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