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General Positions of the Group Pc3221 (#154.44) [BNS setting]

154.44 P3221.1'c[P3121] (UNI symbol)

To display the general positions in the OG setting, please follow this link: P2c3221 ( #152.4.1266) [Transformation matrix]

Translation lattice generators: (1|1,0,0), (1|0,1,0), (1|0,0,1), (1|0,0,0)

Black-and-white lattice generators: (1|1,0,0), (1|0,1,0), (1|0,0,1), (1'|0,0,1/2)

N Standard/Default Setting
(x,y,z) form Matrix form Geom. interp. Seitz notation
1 x, y, z, +1
mx,my,mz
(
   1   0   0    0
   0   1   0    0
   0   0   1    0
)
 1 +1 { 1 | 0 }
2 -y, x-y, z+2/3, +1
-my,mx-my,mz
(
   0  -1   0    0
   1  -1   0    0
   0   0   1   2/3
)
 3+ (0,0,2/3) 0,0,z +1 { 3+001 | 0 0 2/3 }
3 -x+y, -x, z+1/3, +1
-mx+my,-mx,mz
(
  -1   1   0    0
  -1   0   0    0
   0   0   1   1/3
)
 3- (0,0,1/3) 0,0,z +1 { 3-001 | 0 0 1/3 }
4 x-y, -y, -z+1/3, +1
mx-my,-my,-mz
(
   1  -1   0    0
   0  -1   0    0
   0   0  -1   1/3
)
 2 x,0,1/6 +1 { 2100 | 0 0 1/3 }
5 y, x, -z, +1
my,mx,-mz
(
   0   1   0    0
   1   0   0    0
   0   0  -1    0
)
 2 x,x,0 +1 { 2110 | 0 }
6 -x, -x+y, -z+2/3, +1
-mx,-mx+my,-mz
(
  -1   0   0    0
  -1   1   0    0
   0   0  -1   2/3
)
 2 0,y,1/3 +1 { 2010 | 0 0 2/3 }
7 x, y, z+1/2, -1
-mx,-my,-mz
(
   1   0   0    0
   0   1   0    0
   0   0   1   1/2
)'
 t (0,0,1/2) -1 { 1' | 0 0 1/2 }
8 -y, x-y, z+1/6, -1
my,-mx+my,-mz
(
   0  -1   0    0
   1  -1   0    0
   0   0   1   1/6
)'
 3+ (0,0,1/6) 0,0,z -1 { 3'+001 | 0 0 1/6 }
9 -x+y, -x, z+5/6, -1
mx-my,mx,-mz
(
  -1   1   0    0
  -1   0   0    0
   0   0   1   5/6
)'
 3- (0,0,5/6) 0,0,z -1 { 3'-001 | 0 0 5/6 }
10 x-y, -y, -z+5/6, -1
-mx+my,my,mz
(
   1  -1   0    0
   0  -1   0    0
   0   0  -1   5/6
)'
 2 x,0,5/12 -1 { 2'100 | 0 0 5/6 }
11 y, x, -z+1/2, -1
-my,-mx,mz
(
   0   1   0    0
   1   0   0    0
   0   0  -1   1/2
)'
 2 x,x,1/4 -1 { 2'110 | 0 0 1/2 }
12 -x, -x+y, -z+1/6, -1
mx,mx-my,mz
(
  -1   0   0    0
  -1   1   0    0
   0   0  -1   1/6
)'
 2 0,y,1/12 -1 { 2'010 | 0 0 1/6 }

Go to the list of the Wyckoff Positions of the Group Pc3221 (#154.44)
Go to the Systematic Absences for the Group Pc3221 (#154.44)

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