Bilbao Crystallographic Server MWYCKPOS Wyckoff Positions of Magnetic Space Groups Help

## Wyckoff Positions of the Group FSd-3c (#228.139) [BNS setting]

228.139 Fd-3c.1'I[Pn-3m] (UNI symbol)

Multiplicity Wyckoff
letter
Coordinates
(0,0,0) + (0,1/2,1/2) + (1/2,0,1/2) + (1/2,1/2,0) + (0,0,1/2)' + (0,1/2,0)' + (1/2,0,0)' + (1/2,1/2,1/2)' +
384l
 (x,y,z | mx,my,mz) (x+1/4,-z+1/2,y+1/4 | mx,-mz,my) (x+1/4,z+1/4,-y+1/2 | mx,mz,-my) (z+1/4,y+1/4,-x+1/2 | mz,my,-mx) (-z+1/2,y+1/4,x+1/4 | -mz,my,mx) (-y+1/2,x+1/4,z+1/4 | -my,mx,mz) (y+1/4,-x+1/2,z+1/4 | my,-mx,mz) (x,-y+1/4,-z+1/4 | mx,-my,-mz) (-x+1/4,y,-z+1/4 | -mx,my,-mz) (-x+1/4,-y+1/4,z | -mx,-my,mz) (y+1/4,x+1/4,-z+1/2 | my,mx,-mz) (-y+1/2,-x+1/2,-z+1/2 | -my,-mx,-mz) (-x+1/2,z+1/4,y+1/4 | -mx,mz,my) (-x+1/2,-z+1/2,-y+1/2 | -mx,-mz,-my) (z+1/4,-y+1/2,x+1/4 | mz,-my,mx) (-z+1/2,-y+1/2,-x+1/2 | -mz,-my,-mx) (z,x,y | mz,mx,my) (y,z,x | my,mz,mx) (-y+1/4,z,-x+1/4 | -my,mz,-mx) (-z+1/4,-x+1/4,y | -mz,-mx,my) (-y+1/4,-z+1/4,x | -my,-mz,mx) (z,-x+1/4,-y+1/4 | mz,-mx,-my) (y,-z+1/4,-x+1/4 | my,-mz,-mx) (-z+1/4,x,-y+1/4 | -mz,mx,-my) (-x,-y,-z | mx,my,mz) (-x+1/4,z+1/2,-y+1/4 | mx,-mz,my) (-x+1/4,-z+1/4,y+1/2 | mx,mz,-my) (-z+1/4,-y+1/4,x+1/2 | mz,my,-mx) (z+1/2,-y+1/4,-x+1/4 | -mz,my,mx) (y+1/2,-x+1/4,-z+1/4 | -my,mx,mz) (-y+1/4,x+1/2,-z+1/4 | my,-mx,mz) (-x,y+1/4,z+1/4 | mx,-my,-mz) (x+1/4,-y,z+1/4 | -mx,my,-mz) (x+1/4,y+1/4,-z | -mx,-my,mz) (-y+1/4,-x+1/4,z+1/2 | my,mx,-mz) (y+1/2,x+1/2,z+1/2 | -my,-mx,-mz) (x+1/2,-z+1/4,-y+1/4 | -mx,mz,my) (x+1/2,z+1/2,y+1/2 | -mx,-mz,-my) (-z+1/4,y+1/2,-x+1/4 | mz,-my,mx) (z+1/2,y+1/2,x+1/2 | -mz,-my,-mx) (-z,-x,-y | mz,mx,my) (-y,-z,-x | my,mz,mx) (y+1/4,-z,x+1/4 | -my,mz,-mx) (z+1/4,x+1/4,-y | -mz,-mx,my) (y+1/4,z+1/4,-x | -my,-mz,mx) (-z,x+1/4,y+1/4 | mz,-mx,-my) (-y,z+1/4,x+1/4 | my,-mz,-mx) (z+1/4,-x,y+1/4 | -mz,mx,-my)
192k
 (x,x,z | mx,mx,mz) (x+1/4,-z+1/2,x+1/4 | mx,-mz,mx) (x+1/4,z+1/4,-x+1/2 | mx,mz,-mx) (z+1/4,x+1/4,-x+1/2 | mz,mx,-mx) (-z+1/2,x+1/4,x+1/4 | -mz,mx,mx) (-x+1/2,x+1/4,z+1/4 | -mx,mx,mz) (x+1/4,-x+1/2,z+1/4 | mx,-mx,mz) (x,-x+1/4,-z+1/4 | mx,-mx,-mz) (-x+1/4,x,-z+1/4 | -mx,mx,-mz) (-x+1/4,-x+1/4,z | -mx,-mx,mz) (x+1/4,x+1/4,-z+1/2 | mx,mx,-mz) (-x+1/2,-x+1/2,-z+1/2 | -mx,-mx,-mz) (-x+1/2,z+1/4,x+1/4 | -mx,mz,mx) (-x+1/2,-z+1/2,-x+1/2 | -mx,-mz,-mx) (z+1/4,-x+1/2,x+1/4 | mz,-mx,mx) (-z+1/2,-x+1/2,-x+1/2 | -mz,-mx,-mx) (z,x,x | mz,mx,mx) (x,z,x | mx,mz,mx) (-x+1/4,z,-x+1/4 | -mx,mz,-mx) (-z+1/4,-x+1/4,x | -mz,-mx,mx) (-x+1/4,-z+1/4,x | -mx,-mz,mx) (z,-x+1/4,-x+1/4 | mz,-mx,-mx) (x,-z+1/4,-x+1/4 | mx,-mz,-mx) (-z+1/4,x,-x+1/4 | -mz,mx,-mx)
192j
 (x,1/2,x+3/4 | mx,0,mx) (x+3/4,-x+1/4,3/4 | mx,-mx,0) (x+3/4,x,1/2 | mx,mx,0) (x,3/4,-x+1/2 | mx,0,-mx) (-x+1/4,3/4,x+3/4 | -mx,0,mx) (1/2,x+3/4,x | 0,mx,mx) (3/4,-x+1/2,x | 0,-mx,mx) (-x+1/4,1/2,-x+1/2 | -mx,0,-mx) (3/4,x+3/4,-x+1/4 | 0,mx,-mx) (1/2,-x+1/2,-x+1/4 | 0,-mx,-mx) (-x+1/2,x,3/4 | -mx,mx,0) (-x+1/2,-x+1/4,1/2 | -mx,-mx,0) (-x,1/2,-x+1/4 | mx,0,mx) (-x+1/4,x+1/4,3/4 | mx,-mx,0) (-x+1/4,-x,1/2 | mx,mx,0) (-x,3/4,x | mx,0,-mx) (x+1/4,3/4,-x+1/4 | -mx,0,mx) (1/2,-x+1/4,-x | 0,mx,mx) (3/4,x,-x | 0,-mx,mx) (x+1/4,1/2,x | -mx,0,-mx) (3/4,-x+1/4,x+1/4 | 0,mx,-mx) (1/2,x,x+1/4 | 0,-mx,-mx) (x,-x,3/4 | -mx,mx,0) (x,x+1/4,1/2 | -mx,-mx,0)
192i
 (x,1/2,-x | mx,my,mx) (x+1/4,x+1/2,3/4 | mx,-mx,my) (x+1/4,-x+1/4,0 | mx,mx,-my) (-x+1/4,3/4,-x+1/2 | mx,my,-mx) (x+1/2,3/4,x+1/4 | -mx,my,mx) (0,x+1/4,-x+1/4 | -my,mx,mx) (3/4,-x+1/2,-x+1/4 | my,-mx,mx) (-x+1/4,1/2,x+1/4 | -mx,my,-mx) (3/4,x+1/4,x+1/2 | my,mx,-mx) (0,-x+1/2,x+1/2 | -my,-mx,-mx) (-x+1/2,-x+1/4,3/4 | -mx,mx,my) (-x+1/2,x+1/2,0 | -mx,-mx,-my) (-x,1/2,x | mx,my,mx) (-x+1/4,-x+1/2,3/4 | mx,-mx,my) (-x+1/4,x+1/4,0 | mx,mx,-my) (x+1/4,3/4,x+1/2 | mx,my,-mx) (-x+1/2,3/4,-x+1/4 | -mx,my,mx) (0,-x+1/4,x+1/4 | -my,mx,mx) (3/4,x+1/2,x+1/4 | my,-mx,mx) (x+1/4,1/2,-x+1/4 | -mx,my,-mx) (3/4,-x+1/4,-x+1/2 | my,mx,-mx) (0,x+1/2,-x+1/2 | -my,-mx,-mx) (x+1/2,x+1/4,3/4 | -mx,mx,my) (x+1/2,-x+1/2,0 | -mx,-mx,-my)
192h
 (3/8,y,5/8 | mx,0,mz) (5/8,7/8,y+1/4 | mx,-mz,0) (5/8,7/8,-y+1/2 | mx,mz,0) (7/8,y+1/4,1/8 | mz,0,-mx) (-y+1/2,5/8,7/8 | 0,mx,mz) (y+1/4,1/8,7/8 | 0,-mx,mz) (3/8,-y+1/4,5/8 | mx,0,-mz) (7/8,-y+1/2,5/8 | mz,0,mx) (5/8,3/8,y | mz,mx,0) (y,5/8,3/8 | 0,mz,mx) (-y+1/4,5/8,7/8 | 0,mz,-mx) (5/8,7/8,-y+1/4 | mz,-mx,0) (5/8,-y,3/8 | mx,0,mz) (7/8,1/8,-y+1/4 | mx,-mz,0) (7/8,5/8,y+1/2 | mx,mz,0) (5/8,-y+1/4,7/8 | mz,0,-mx) (y+1/2,7/8,5/8 | 0,mx,mz) (-y+1/4,7/8,5/8 | 0,-mx,mz) (5/8,y+1/4,7/8 | mx,0,-mz) (5/8,y+1/2,7/8 | mz,0,mx) (3/8,5/8,-y | mz,mx,0) (-y,3/8,5/8 | 0,mz,mx) (y+1/4,3/8,5/8 | 0,mz,-mx) (3/8,5/8,y+1/4 | mz,-mx,0)
96g
 (3/8,y,7/8 | 0,my,0) (1/8,1/8,y+1/4 | 0,0,my) (1/8,5/8,-y+1/2 | 0,0,-my) (5/8,y+1/4,5/8 | 0,my,0) (-y+1/2,1/8,5/8 | -my,0,0) (y+1/4,1/8,1/8 | my,0,0) (3/8,-y+1/4,3/8 | 0,-my,0) (5/8,-y+1/2,1/8 | 0,-my,0) (7/8,3/8,y | 0,0,my) (y,7/8,3/8 | my,0,0) (-y+1/4,7/8,7/8 | -my,0,0) (7/8,7/8,-y+1/4 | 0,0,-my)
96f
 (3/8,1/2,5/8 | mx,0,mx) (5/8,7/8,3/4 | mx,-mx,0) (5/8,3/8,1/2 | mx,mx,0) (3/8,3/4,5/8 | mx,0,-mx) (1/2,5/8,3/8 | 0,mx,mx) (3/4,5/8,3/8 | 0,-mx,mx) (5/8,1/2,3/8 | mx,0,mx) (3/8,5/8,3/4 | mx,-mx,0) (3/8,5/8,1/2 | mx,mx,0) (5/8,3/4,7/8 | mx,0,-mx) (1/2,3/8,5/8 | 0,mx,mx) (3/4,7/8,5/8 | 0,-mx,mx)
64e
 (x,x,-x+1/4 | mx,mx,-mx) (x+1/4,x+1/4,x+1/4 | mx,mx,mx) (x+1/4,-x+1/2,-x+1/2 | mx,-mx,-mx) (-x+1/2,x+1/4,-x+1/2 | -mx,mx,-mx) (x,-x+1/4,x | mx,-mx,mx) (-x+1/4,x,x | -mx,mx,mx) (-x+1/4,-x+1/4,-x+1/4 | -mx,-mx,-mx) (-x+1/2,-x+1/2,x+1/4 | -mx,-mx,mx)
48d
 (5/8,3/8,5/8 | 0,my,0) (7/8,7/8,5/8 | 0,0,my) (7/8,5/8,7/8 | 0,my,0) (1/8,7/8,7/8 | -my,0,0) (5/8,5/8,3/8 | 0,0,my) (3/8,5/8,5/8 | my,0,0)
32c
 (1/2,1/2,3/4 | 0,0,0) (3/4,3/4,3/4 | 0,0,0) (3/4,1/2,1/2 | 0,0,0) (1/2,3/4,1/2 | 0,0,0)
32b
 (1/4,1/4,0 | mx,mx,-mx) (1/2,1/2,1/2 | mx,mx,mx) (1/2,1/4,1/4 | mx,-mx,-mx) (1/4,1/2,1/4 | -mx,mx,-mx)
16a
 (3/8,3/8,7/8 | 0,0,0) (1/8,1/8,5/8 | 0,0,0)

### Site Symmetries of the Wyckoff Positions

WPRepresentativeSite
symmetry
16a(3/8,3/8,7/8 | 0,0,0)-4'3m'
32b(1/4,1/4,0 | mx,mx,-mx).-3m'
32c(1/2,1/2,3/4 | 0,0,0).-3'm'
48d(5/8,3/8,5/8 | 0,my,0)-42'.m'
64e(x,x,-x+1/4 | mx,mx,-mx).3m'
96f(3/8,1/2,5/8 | mx,0,mx)2'.22'
96g(3/8,y,7/8 | 0,my,0)2.m'm'
192h(3/8,y,5/8 | mx,0,mz)2'..
192i(x,1/2,-x | mx,my,mx)..2'
192j(x,1/2,x+3/4 | mx,0,mx)..2
192k(x,x,z | mx,mx,mz)..m'
384l(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 FSd-3c (#228.139)
Go to the Systematic absences for the Group FSd-3c (#228.139)

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