p-1 -1 Triclinic/Oblique
No. 2 p-1 Patterson symmetry p-1

symmetry group diagram

Origin at -1

Asymmetric unit 0 ≤ x ≤ 1/2; 0 ≤ y ≤ 1

Symmetry operations

(1)  1
      (1 | 0, 0, 0)
(2)  -1   0, 0, 0
      (-1 | 0, 0, 0)
   

Generators selected (1); t(1, 0, 0); t(0, 1, 0); (2)

Positions

Multiplicity, Wyckoff letter,
Site symmetry
Coordinates Reflection conditions

  General:
2 e 1
(1) xyz (2) -x-y-z
no conditions
    Special: no extra conditions
1 d  -1 
1/21/2, 0
1 c  -1 
1/2, 0, 0
1 b  -1 
0, 1/2, 0
1 a  -1 
0, 0, 0

Symmetry of special projections

Along [001]   p2
a' = ap   b' = bp   
Origin at 0, 0, z
Along [100]   [script p]211
a' = bp   
Origin at x, 0, 0
Along [010]   [script p]211
a' = ap   
Origin at 0, y, 0

Maximal non-isotypic subgroups


I [2] p1 (1) 1
IIa none
IIb none

Maximal isotypic subgroups of lowest index


IIc [2] p-1 (a' = 2a or b' = 2b or a' = a + b, b' = -a + b) (2)

Minimal non-isotypic supergroups


I [2] p112/m (6); [2] p112/a (7); [2] p2/m11 (14); [2] p21/m11 (15); [2] p2/b11 (16); [2] p21/b11 (17); [2] c2/m11 (18); [3] p-3 (66)
II none








































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