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General Positions of the 3D Crystallographic Point Group D4h(4/mmm)


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No. (x,y,z) form Matrix form Symmetry operation
ITA Seitz
1x,y,z
(
  1  0  0  
  0  1  0  
  0  0  1  
)
1 1
2-x,-y,z
(
 -1  0  0  
  0 -1  0  
  0  0  1  
)
2 0,0,z 2001
3-y,x,z
(
  0 -1  0  
  1  0  0  
  0  0  1  
)
4+ 0,0,z 4+001
4y,-x,z
(
  0  1  0  
 -1  0  0  
  0  0  1  
)
4- 0,0,z 4-001
5-x,y,-z
(
 -1  0  0  
  0  1  0  
  0  0 -1  
)
2 0,y,0 2010
6x,-y,-z
(
  1  0  0  
  0 -1  0  
  0  0 -1  
)
2 x,0,0 2100
7y,x,-z
(
  0  1  0  
  1  0  0  
  0  0 -1  
)
2 x,x,0 2110
8-y,-x,-z
(
  0 -1  0  
 -1  0  0  
  0  0 -1  
)
2 x,-x,0 21-10
9-x,-y,-z
(
 -1  0  0  
  0 -1  0  
  0  0 -1  
)
-1 0,0,0 -1
10x,y,-z
(
  1  0  0  
  0  1  0  
  0  0 -1  
)
m x,y,0 m001
11y,-x,-z
(
  0  1  0  
 -1  0  0  
  0  0 -1  
)
-4+ 0,0,z; 0,0,0 -4+001
12-y,x,-z
(
  0 -1  0  
  1  0  0  
  0  0 -1  
)
-4- 0,0,z; 0,0,0 -4-001
13x,-y,z
(
  1  0  0  
  0 -1  0  
  0  0  1  
)
m x,0,z m010
14-x,y,z
(
 -1  0  0  
  0  1  0  
  0  0  1  
)
m 0,y,z m100
15-y,-x,z
(
  0 -1  0  
 -1  0  0  
  0  0  1  
)
m x,-x,z m110
16y,x,z
(
  0  1  0  
  1  0  0  
  0  0  1  
)
m x,x,z m1-10



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