Cm Cs3 m Monoclinic No. 8 C1m1 Patterson symmetry C12/m1 UNIQUE AXIS b, CELL CHOICE 1

Origin on mirror plane m

 Asymmetric unit 0 ≤ x ≤ 1; 0 ≤ y ≤ 1/4; 0 ≤ z ≤ 1

Symmetry operations

For (0, 0, 0)+ set

 (1)  1 (2)  m   x, 0, z

For (1/21/2, 0)+ set

 (1)  t(1/2, 1/2, 0) (2)  a   x, 1/4, z

Generators selected (1); t(1, 0, 0); t(0, 1, 0); t(0, 0, 1); t(1/21/2, 0); (2)

Positions

Multiplicity, Wyckoff letter,
Site symmetry
Coordinates Reflection conditions
(0, 0, 0)+  (1/21/2, 0)+  General:
 4 b 1
 (1) x, y, z (2) x, -y, z
hkl: h + k = 2n
h0l: h = 2n
0kl: k = 2n
hk0: h + k = 2n
0k0: k = 2n
h00: h = 2n
Special: as above, plus
 2 a m
 x, 0, z
no extra conditions

Symmetry of special projections

 Along [001]   c11ma' = ap   b' = b   Origin at 0, 0, z Along [100]   p1m1a' = 1/2b   b' = cp   Origin at x, 0, 0 Along [010]   p1a' = c   b' = 1/2a   Origin at 0, y, 0

UNIQUE AXIS b, DIFFERENT CELL CHOICES

C1m1

UNIQUE AXIS b, CELL CHOICE 1

Origin on mirror plane m

 Asymmetric unit 0 ≤ x ≤ 1; 0 ≤ y ≤ 1/4; 0 ≤ z ≤ 1

Generators selected (1); t(1, 0, 0); t(0, 1, 0); t(0, 0, 1); t(1/21/2, 0); (2)

Positions

Multiplicity, Wyckoff letter,
Site symmetry
Coordinates Reflection conditions
(0, 0, 0)+  (1/21/2, 0)+  General:
 4 b 1
 (1) x, y, z (2) x, -y, z
hkl: h + k = 2n
h0l: h = 2n
0kl: k = 2n
hk0: h + k = 2n
0k0: k = 2n
h00: h = 2n
Special: as above, plus
 2 a m
 x, 0, z
no extra conditions

A1m1

UNIQUE AXIS b, CELL CHOICE 2

Origin on mirror plane m

 Asymmetric unit 0 ≤ x ≤ 1; 0 ≤ y ≤ 1/4; 0 ≤ z ≤ 1

Generators selected (1); t(1, 0, 0); t(0, 1, 0); t(0, 0, 1); t(0, 1/21/2); (2)

Positions

Multiplicity, Wyckoff letter,
Site symmetry
Coordinates Reflection conditions
(0, 0, 0)+  (0, 1/21/2)+  General:
 4 b 1
 (1) x, y, z (2) x, -y, z
hkl: k + l = 2n
h0l: l = 2n
0kl: k + l = 2n
hk0: k = 2n
0k0: k = 2n
00l: l = 2n
Special: as above, plus
 2 a m
 x, 0, z
no extra conditions

I1m1

UNIQUE AXIS b, CELL CHOICE 3

Origin on mirror plane m

 Asymmetric unit 0 ≤ x ≤ 1; 0 ≤ y ≤ 1/4; 0 ≤ z ≤ 1

Generators selected (1); t(1, 0, 0); t(0, 1, 0); t(0, 0, 1); t(1/21/21/2); (2)

Positions

Multiplicity, Wyckoff letter,
Site symmetry
Coordinates Reflection conditions
(0, 0, 0)+  (1/21/21/2)+  General:
 4 b 1
 (1) x, y, z (2) x, -y, z
hkl: h + k + l = 2n
h0l: h + l = 2n
0kl: k + l = 2n
hk0: h + k = 2n
0k0: k = 2n
h00: h = 2n
00l: l = 2n
Special: as above, plus
 2 a m
 x, 0, z
no extra conditions

 Cm Cs3 m Monoclinic No. 8 A11m Patterson symmetry A112/m UNIQUE AXIS c, CELL CHOICE 1

Origin on mirror plane m

 Asymmetric unit 0 ≤ x ≤ 1; 0 ≤ y ≤ 1; 0 ≤ z ≤ 1/4

Symmetry operations

For (0,  0,  0)+ set

 (1)  1 (2)  m   x, y, 0

For (0, 1/21/2)+ set

 (1)  t(0, 1/2, 1/2) (2)  b   x, y, 1/4

Generators selected (1); t(1, 0, 0); t(0, 1, 0); t(0, 0, 1); t(0, 1/21/2); (2)

Positions

Multiplicity, Wyckoff letter,
Site symmetry
Coordinates Reflection conditions
(0, 0, 0)+  (0, 1/21/2)+  General:
 4 b 1
 (1) x, y, z (2) x, y, -z
hkl: k + l = 2n
hk0: k = 2n
0kl: k + l = 2n
h0l: l = 2n
00l: l = 2n
0k0: k = 2n
Special: as above, plus
 2 a m
 x, y, 0
no extra conditions

Symmetry of special projections

 Along [001]   p1a' = a   b' = 1/2b   Origin at 0, 0, z Along [100]   c11ma' = bp   b' = c   Origin at x, 0, 0 Along [010]   p1m1a' = 1/2c   b' = ap   Origin at 0, y, 0

UNIQUE AXIS c, DIFFERENT CELL CHOICES

A11m

UNIQUE AXIS c, CELL CHOICE 1

Origin on mirror plane m

 Asymmetric unit 0 ≤ x ≤ 1; 0 ≤ y ≤ 1; 0 ≤ z ≤ 1/4

Generators selected (1); t(1, 0, 0); t(0, 1, 0); t(0, 0, 1); t(0, 1/21/2); (2)

Positions

Multiplicity, Wyckoff letter,
Site symmetry
Coordinates Reflection conditions
(0, 0, 0)+  (0, 1/21/2)+  General:
 4 b 1
 (1) x, y, z (2) x, y, -z
hkl: k + l = 2n
hk0: k = 2n
0kl: k + l = 2n
h0l: l = 2n
00l: l = 2n
0k0: k = 2n
Special: as above, plus
 2 a m
 x, y, 0
no extra conditions

B11m

UNIQUE AXIS c, CELL CHOICE 2

Origin on mirror plane m

 Asymmetric unit 0 ≤ x ≤ 1; 0 ≤ y ≤ 1; 0 ≤ z ≤ 1/4

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

Positions

Multiplicity, Wyckoff letter,
Site symmetry
Coordinates Reflection conditions
(0, 0, 0)+  (1/2, 0, 1/2)+  General:
 4 b 1
 (1) x, y, z (2) x, y, -z
hkl: h + l = 2n
hk0: h = 2n
0kl: l = 2n
h0l: h + l = 2n
00l: l = 2n
h00: h = 2n
Special: as above, plus
 2 a m
 x, y, 0
no extra conditions

I11m

UNIQUE AXIS c, CELL CHOICE 3

Origin on mirror plane m

 Asymmetric unit 0 ≤ x ≤ 1; 0 ≤ y ≤ 1; 0 ≤ z ≤ 1/4

Generators selected (1); t(1, 0, 0); t(0, 1, 0); t(0, 0, 1); t(1/21/21/2); (2)

Positions

Multiplicity, Wyckoff letter,
Site symmetry
Coordinates Reflection conditions
(0, 0, 0)+  (1/21/21/2)+  General:
 4 b 1
 (1) x, y, z (2) x, y, -z
hkl: h + k + l = 2n
hk0: h + k = 2n
0kl: k + l = 2n
h0l: h + l = 2n
00l: l = 2n
h00: h = 2n
0k0: k = 2n
Special: as above, plus
 2 a m
 x, y, 0
no extra conditions