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Crystal Lab › The 230 space groups › Orthorhombic

No. 53 P m n a

Orthorhombic space group · 8 symmetry operations per cell · 9 Wyckoff positions · 6 settings

Symmetry elements and Wyckoff positions (interactive)

No. 53 P m n a

Setting
Loading the group…
x = 0.10, y = 0.17, z = 0.08
Number
53
Hermann–Mauguin symbol
P m n a
Hall symbol
-P 2ac 2
Crystal system
Orthorhombic
Operations per cell
8
General position
8i (site symmetry 1)

Wyckoff positions (standard setting)

MultiplicityLetterSite symmetry
8i1
4hm..
4g.2.
4f2..
4e2..
2d2/m..
2c2/m..
2b2/m..
2a2/m..

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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