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General Positions of the Group Pc-6 (#174.136) [BNS setting]


To display the general positions in the OG setting, please follow this link: P2c-6 ( #174.4.1366) [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, +1
-my,mx-my,mz
(
   0  -1   0    0
   1  -1   0    0
   0   0   1    0
)
 3+ 0,0,z +1 { 3+001 | 0 }
3 -x+y, -x, z, +1
-mx+my,-mx,mz
(
  -1   1   0    0
  -1   0   0    0
   0   0   1    0
)
 3- 0,0,z +1 { 3-001 | 0 }
4 -x+y, -x, -z, +1
mx-my,mx,mz
(
  -1   1   0    0
  -1   0   0    0
   0   0  -1    0
)
 -6+ 0,0,z 0,0,0 +1 { -6+001 | 0 }
5 x, y, -z, +1
-mx,-my,mz
(
   1   0   0    0
   0   1   0    0
   0   0  -1    0
)
 m x,y,0 +1 { m001 | 0 }
6 -y, x-y, -z, +1
my,-mx+my,mz
(
   0  -1   0    0
   1  -1   0    0
   0   0  -1    0
)
 -6- 0,0,z 0,0,0 +1 { -6-001 | 0 }
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+1/2, -1
my,-mx+my,-mz
(
   0  -1   0    0
   1  -1   0    0
   0   0   1   1/2
)'
 3+ (0,0,1/2) 0,0,z -1 { 3'+001 | 0 0 1/2 }
9 -x+y, -x, z+1/2, -1
mx-my,mx,-mz
(
  -1   1   0    0
  -1   0   0    0
   0   0   1   1/2
)'
 3- (0,0,1/2) 0,0,z -1 { 3'-001 | 0 0 1/2 }
10 -x+y, -x, -z+1/2, -1
-mx+my,-mx,-mz
(
  -1   1   0    0
  -1   0   0    0
   0   0  -1   1/2
)'
 -6+ 0,0,z 0,0,1/4 -1 { -6'+001 | 0 0 1/2 }
11 x, y, -z+1/2, -1
mx,my,-mz
(
   1   0   0    0
   0   1   0    0
   0   0  -1   1/2
)'
 m x,y,1/4 -1 { m'001 | 0 0 1/2 }
12 -y, x-y, -z+1/2, -1
-my,mx-my,-mz
(
   0  -1   0    0
   1  -1   0    0
   0   0  -1   1/2
)'
 -6- 0,0,z 0,0,1/4 -1 { -6'-001 | 0 0 1/2 }

Go to the list of the Wyckoff Positions of the Group Pc-6 (#174.136)
Go to the Systematic Absences for the Group Pc-6 (#174.136)

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