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Crystal Lab › The 17 plane groups › Rectangular

No. 8 p2gg

Rectangular plane group · 4 symmetry operations per cell · 3 Wyckoff positions

Symmetry elements and Wyckoff positions (interactive)

No. 8 p2gg

Setting
Loading the group…
x = 0.10, y = 0.17, z = 0.08
Number
8
Hermann–Mauguin symbol
p2gg
Lattice
Rectangular
Operations per cell
4
General position
4c (site symmetry 1)

Wyckoff positions (standard setting)

MultiplicityLetterSite symmetry
4c1
2b2..
2a2..

How to read it

  • Each symmetry element drawn in the cell is worked out from the group’s operations. This is a two-dimensional group, so there are only rotation points and mirror or glide lines: rotation points are small filled shapes marked with their order (2, 3, 4 or 6), and mirror and glide lines run across the cell (dashed outline = glide). 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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