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Wyckoff Positions of Group 191 (P6/mmm)

Multiplicity Wyckoff
letter
Site
symmetry
Coordinates
24r1
(x,y,z) (-y,x-y,z) (-x+y,-x,z) (-x,-y,z)
(y,-x+y,z) (x-y,x,z) (y,x,-z) (x-y,-y,-z)
(-x,-x+y,-z) (-y,-x,-z) (-x+y,y,-z) (x,x-y,-z)
(-x,-y,-z) (y,-x+y,-z) (x-y,x,-z) (x,y,-z)
(-y,x-y,-z) (-x+y,-x,-z) (-y,-x,z) (-x+y,y,z)
(x,x-y,z) (y,x,z) (x-y,-y,z) (-x,-x+y,z)
12qm..
(x,y,1/2) (-y,x-y,1/2) (-x+y,-x,1/2) (-x,-y,1/2)
(y,-x+y,1/2) (x-y,x,1/2) (y,x,1/2) (x-y,-y,1/2)
(-x,-x+y,1/2) (-y,-x,1/2) (-x+y,y,1/2) (x,x-y,1/2)
12pm..
(x,y,0) (-y,x-y,0) (-x+y,-x,0) (-x,-y,0)
(y,-x+y,0) (x-y,x,0) (y,x,0) (x-y,-y,0)
(-x,-x+y,0) (-y,-x,0) (-x+y,y,0) (x,x-y,0)
12o.m.
(x,2x,z) (-2x,-x,z) (x,-x,z) (-x,-2x,z)
(2x,x,z) (-x,x,z) (2x,x,-z) (-x,-2x,-z)
(-x,x,-z) (-2x,-x,-z) (x,2x,-z) (x,-x,-z)
12n..m
(x,0,z) (0,x,z) (-x,-x,z) (-x,0,z)
(0,-x,z) (x,x,z) (0,x,-z) (x,0,-z)
(-x,-x,-z) (0,-x,-z) (-x,0,-z) (x,x,-z)
6mmm2
(x,2x,1/2) (-2x,-x,1/2) (x,-x,1/2) (-x,-2x,1/2)
(2x,x,1/2) (-x,x,1/2)
6lmm2
(x,2x,0) (-2x,-x,0) (x,-x,0) (-x,-2x,0)
(2x,x,0) (-x,x,0)
6km2m
(x,0,1/2) (0,x,1/2) (-x,-x,1/2) (-x,0,1/2)
(0,-x,1/2) (x,x,1/2)
6jm2m
(x,0,0) (0,x,0) (-x,-x,0) (-x,0,0)
(0,-x,0) (x,x,0)
6i2mm
(1/2,0,z) (0,1/2,z) (1/2,1/2,z) (0,1/2,-z)
(1/2,0,-z) (1/2,1/2,-z)
4h3m.
(1/3,2/3,z) (2/3,1/3,z) (2/3,1/3,-z) (1/3,2/3,-z)
3gmmm
(1/2,0,1/2) (0,1/2,1/2) (1/2,1/2,1/2)
3fmmm
(1/2,0,0) (0,1/2,0) (1/2,1/2,0)
2e6mm
(0,0,z) (0,0,-z)
2d-6m2
(1/3,2/3,1/2) (2/3,1/3,1/2)
2c-6m2
(1/3,2/3,0) (2/3,1/3,0)
1b6/mmm
(0,0,1/2)
1a6/mmm
(0,0,0)

Wyckoff position and site symmetry group of a specific point

Specify the point by its relative coordinates (in fractions or decimals)
Variable parameters (x,y,z) are also accepted
x =      y =      z =


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