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Symmetry Lab4AB · ABC Chemistry

Symmetry Lab › D4d › Cyclo-octasulfur (crown)

S₈ Cyclo-octasulfur (crown)

Crown (puckered 8-ring) · point group D4d · order 16

Open S₈ in 3D →

Point group
D4d — A C4 principal axis, 4 perpendicular C2 axes and 4 dihedral mirror planes that bisect them; the principal axis is also an S8 axis.
Order
16
Operations
E, 2S₈, 2C₄, 2S₈³, C₂, 4C₂′, 4σd
Shape
Crown (puckered 8-ring)
Atoms
8 (S × 8)

Symmetry elements of S₈

  • C₄ — through the centre of the crown; also C₂ and the S₈ axis
  • C₂′ (1) — through the midpoints of two opposite S–S bonds
  • C₂′ (2) — through the midpoints of two opposite S–S bonds
  • C₂′ (3) — through the midpoints of two opposite S–S bonds
  • C₂′ (4) — through the midpoints of two opposite S–S bonds
  • S₈ — rotate 45°, then reflect: the operation that shows the crown is not planar
  • σd (1) — contains the axis and two opposite S atoms
  • σd (2) — contains the axis and two opposite S atoms
  • σd (3) — contains the axis and two opposite S atoms
  • σd (4) — contains the axis and two opposite S atoms

Structure

  • S–S 2.06 Å
  • S–S–S 108°, dihedral 98°
  • The form of sulfur in the yellow solid
Cyclo-octasulfur (crown) (S8) — D4d symmetry elements
Cyclo-octasulfur (crown): symmetry elements of the D4d point group

Other D4d molecules

[Os₂Cl₈]²⁻Octachlorodiosmate(III) ion[W(CN)₈]²⁻Octacyanotungstate(IV) ion

Open in the 3D lab →  ·  All D4d molecules  ·  All point groups