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Crystal Lab › The 230 space groups › Orthorhombic

No. 52 P n n a

Orthorhombic space group · 8 symmetry operations per cell · 5 Wyckoff positions · 6 settings

Symmetry elements and Wyckoff positions (interactive)

No. 52 P n n a

Setting
Loading the group…
x = 0.10, y = 0.17, z = 0.08
Number
52
Hermann–Mauguin symbol
P n n a
Hall symbol
-P 2a 2bc
Crystal system
Orthorhombic
Operations per cell
8
General position
8e (site symmetry 1)

Wyckoff positions (standard setting)

MultiplicityLetterSite symmetry
8e1
4d2..
4c..2
4b-1
4a-1

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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