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Crystal Lab › The 230 space groups › Orthorhombic

No. 16 P 2 2 2

Orthorhombic space group · 4 symmetry operations per cell · 21 Wyckoff positions

Symmetry elements and Wyckoff positions (interactive)

No. 16 P 2 2 2

Setting
Loading the group…
x = 0.10, y = 0.17, z = 0.08
Number
16
Hermann–Mauguin symbol
P 2 2 2
Hall symbol
P 2 2
Crystal system
Orthorhombic
Operations per cell
4
General position
4u (site symmetry 1)

Wyckoff positions (standard setting)

MultiplicityLetterSite symmetry
4u1
2t..2
2s..2
2r..2
2q..2
2p.2.
2o.2.
2n.2.
2m.2.
2l2..
2k2..
2j2..
2i2..
1h222
1g222
1f222
1e222
1d222
1c222
1b222
1a222

How to read it

  • Each symmetry element drawn in the cell is worked out from the group’s operations: rotation and screw axes as lines (arrow = direction; dashed = screw), mirror and glide planes as sheets (dashed outline = glide), inversion centres as dots; rotoinversion axes are dotted. Colours: 2-fold red, 3-fold green, 4-fold blue, 6-fold purple.
  • The multiplicity is how many equivalent points an atom on that site generates in the conventional cell; the general position has the highest multiplicity, equal to the number of operations.
  • Site symmetry is the point group that leaves that position fixed; a special position (lower multiplicity) sits on a symmetry element — press + on a row to see its atoms land on the drawn elements.

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