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PP4/m [#83.7.709] (Type: 4 -- Type IV (klassengleiche))

[BNS: PC4/m] #83.49

Operators of Group 83.7.709 (PP4/m)

1.x,y,z
mx,my,mz

(
  1   0   0     0
  0   1   0     0
  0   0   1     0
)
1 +1 {1|0,0,0}
2.-x,-y,z
-mx,-my,mz

(
 -1   0   0     0
  0  -1   0     0
  0   0   1     0
)
2 0,0,z +1 {2z|0,0,0}
3.-y,x,z
-my,mx,mz

(
  0  -1   0     0
  1   0   0     0
  0   0   1     0
)
4+ 0,0,z +1 {4z|0,0,0}
4.y,-x,z
my,-mx,mz

(
  0   1   0     0
 -1   0   0     0
  0   0   1     0
)
4- 0,0,z +1 {4z-1|0,0,0}
5.-x,-y,-z
mx,my,mz

(
 -1   0   0     0
  0  -1   0     0
  0   0  -1     0
)
-1 0,0,0 +1 {-1|0,0,0}
6.x,y,-z
-mx,-my,mz

(
  1   0   0     0
  0   1   0     0
  0   0  -1     0
)
m x,y,0 +1 {mz|0,0,0}
7.y,-x,-z
-my,mx,mz

(
  0   1   0     0
 -1   0   0     0
  0   0  -1     0
)
-4+ 0,0,z; 0,0,0 +1 {-4z|0,0,0}
8.-y,x,-z
my,-mx,mz

(
  0  -1   0     0
  1   0   0     0
  0   0  -1     0
)
-4- 0,0,z; 0,0,0 +1 {-4z-1|0,0,0}
9.x+1,y,z
-mx,-my,-mz

(
  1   0   0     1
  0   1   0     0
  0   0   1     0
) '
t (1,0,0) -1 {1|1,0,0}'
10.-x+1,-y,z
mx,my,-mz

(
 -1   0   0     1
  0  -1   0     0
  0   0   1     0
) '
2 1/2,0,z -1 {2z|1,0,0}'
11.-y+1,x,z
my,-mx,-mz

(
  0  -1   0     1
  1   0   0     0
  0   0   1     0
) '
4+ 1/2,1/2,z -1 {4z|1,0,0}'
12.y+1,-x,z
-my,mx,-mz

(
  0   1   0     1
 -1   0   0     0
  0   0   1     0
) '
4- 1/2,-1/2,z -1 {4z-1|1,0,0}'
13.-x+1,-y,-z
-mx,-my,-mz

(
 -1   0   0     1
  0  -1   0     0
  0   0  -1     0
) '
-1 1/2,0,0 -1 {-1|1,0,0}'
14.x+1,y,-z
mx,my,-mz

(
  1   0   0     1
  0   1   0     0
  0   0  -1     0
) '
g (1,0,0) x,y,0 -1 {mz|1,0,0}'
15.y+1,-x,-z
my,-mx,-mz

(
  0   1   0     1
 -1   0   0     0
  0   0  -1     0
) '
-4+ 1/2,-1/2,z; 1/2,-1/2,0 -1 {-4z|1,0,0}'
16.-y+1,x,-z
-my,mx,-mz

(
  0  -1   0     1
  1   0   0     0
  0   0  -1     0
) '
-4- 1/2,1/2,z; 1/2,1/2,0 -1 {-4z-1|1,0,0}'


Go to the Wyckoff Positions of 83.7.709 (PP4/m)
Go to the extinction rules of 83.49 (PC4/m) ← Corresponding space group in BNS settings



Back to the list of magnetic space groups derived from P4/m
Back to the list of Magnetic Space Groups

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