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Wyckoff Positions of the Group P41'32' (#213.65)
For this space group, BNS and OG settings coincide.
Its label in the OG setting is given as: P41'32' (#213.3.1566)

MultiplicityWyckoff
letter
Coordinates
24e
(x,y,z | mx,my,mz) (x+1/4,-z+1/4,y+3/4 | -mx,mz,-my)
(x+3/4,z+1/4,-y+1/4 | -mx,-mz,my) (z+3/4,y+1/4,-x+1/4 | -mz,-my,mx)
(-z+1/4,y+3/4,x+1/4 | mz,-my,-mx) (-y+1/4,x+3/4,z+1/4 | my,-mx,-mz)
(y+1/4,-x+1/4,z+3/4 | -my,mx,-mz) (x+1/2,-y+1/2,-z | mx,-my,-mz)
(-x,y+1/2,-z+1/2 | -mx,my,-mz) (-x+1/2,-y,z+1/2 | -mx,-my,mz)
(y+3/4,x+1/4,-z+1/4 | -my,-mx,mz) (-y+3/4,-x+3/4,-z+3/4 | my,mx,mz)
(-x+1/4,z+3/4,y+1/4 | mx,-mz,-my) (-x+3/4,-z+3/4,-y+3/4 | mx,mz,my)
(z+1/4,-y+1/4,x+3/4 | -mz,my,-mx) (-z+3/4,-y+3/4,-x+3/4 | mz,my,mx)
(z,x,y | mz,mx,my) (y,z,x | my,mz,mx)
(-y,z+1/2,-x+1/2 | -my,mz,-mx) (-z+1/2,-x,y+1/2 | -mz,-mx,my)
(-y+1/2,-z,x+1/2 | -my,-mz,mx) (z+1/2,-x+1/2,-y | mz,-mx,-my)
(y+1/2,-z+1/2,-x | my,-mz,-mx) (-z,x+1/2,-y+1/2 | -mz,mx,-my)
12d
(1/8,y,y+1/4 | mx,my,-my) (3/8,-y,y+3/4 | -mx,-my,-my)
(7/8,y+1/2,-y+1/4 | -mx,my,my) (y,y+1/4,1/8 | my,-my,mx)
(-y,y+3/4,3/8 | -my,-my,-mx) (-y+1/4,7/8,y+1/2 | my,-mx,my)
(y+1/4,1/8,y | -my,mx,my) (5/8,-y+1/2,-y+3/4 | mx,-my,my)
(y+3/4,3/8,-y | -my,-mx,-my) (-y+3/4,5/8,-y+1/2 | my,mx,-my)
(y+1/2,-y+1/4,7/8 | my,my,-mx) (-y+1/2,-y+3/4,5/8 | -my,my,mx)
8c
(x,x,x | mx,mx,mx) (x+1/4,-x+1/4,x+3/4 | -mx,mx,-mx)
(x+3/4,x+1/4,-x+1/4 | -mx,-mx,mx) (-x+1/4,x+3/4,x+1/4 | mx,-mx,-mx)
(x+1/2,-x+1/2,-x | mx,-mx,-mx) (-x,x+1/2,-x+1/2 | -mx,mx,-mx)
(-x+1/2,-x,x+1/2 | -mx,-mx,mx) (-x+3/4,-x+3/4,-x+3/4 | mx,mx,mx)
4b
(7/8,7/8,7/8 | mx,mx,mx) (1/8,3/8,5/8 | -mx,mx,-mx)
(5/8,1/8,3/8 | -mx,-mx,mx) (3/8,5/8,1/8 | mx,-mx,-mx)
4a
(3/8,3/8,3/8 | mx,mx,mx) (5/8,7/8,1/8 | -mx,mx,-mx)
(1/8,5/8,7/8 | -mx,-mx,mx) (7/8,1/8,5/8 | mx,-mx,-mx)

Site Symmetries of the Wyckoff Positions

WPRepresentativeSite
symmetry
4a(3/8,3/8,3/8 | mx,mx,mx).32'
4b(7/8,7/8,7/8 | mx,mx,mx).32'
8c(x,x,x | mx,mx,mx).3.
12d(1/8,y,y+1/4 | mx,my,-my)..2'
24e(x,y,z | mx,my,mz)1

List the original elements of the orbits
List all the elements of the orbits

Go to the list of the Symmetry Operators of the Group P41'32' (#213.65)
Go to the Systematic absences for the Group P41'32' (#213.65)

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