Alternative Origins for Spacegroups (CCP4: General)

NAME

alternate-origins - lists of alternate origins for different spacegroups

DESCRIPTION

This file contains numbers of alternate origins for various spacegroups, along with lists of their positions, given in fractional coordinates.

Click here for a list of alternate origins for non-centrosymetric space groups (Thanks to Marc Allaire).

P -1

SG No: 2

Number of alternate origins: 8

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
3	0.0000	0.5000	0.0000
4	0.0000	0.5000	0.5000
5	0.5000	0.0000	0.0000
6	0.5000	0.0000	0.5000
7	0.5000	0.5000	0.0000
8	0.5000	0.5000	0.5000

P 1 2 1

SG No: 3 (Standard short HM symbol: P2)

Number of alternate origins: 4

This is a polar spacegroup: the origin is not fixed along the B axis

Norigin	Xo	Yo	Zo
1	0.0000	??????	0.0000
2	0.0000	??????	0.5000
3	0.5000	??????	0.0000
4	0.5000	??????	0.5000

P 1 2₁ 1

SG No: 4 (Standard short HM symbol: P2₁)

Number of alternate origins: 4

This is a polar spacegroup: the origin is not fixed along the B axis

Norigin	Xo	Yo	Zo
1	0.0000	??????	0.0000
2	0.0000	??????	0.5000
3	0.5000	??????	0.0000
4	0.5000	??????	0.5000

C 1 2 1

SG No: 5 (Standard short HM symbol: C2)

Number of alternate origins: 4

This is a polar spacegroup: the origin is not fixed along the B axis

Norigin	Xo	Yo	Zo
1	0.0000	??????	0.0000
2	0.0000	??????	0.5000
3	0.5000	??????	0.0000
4	0.5000	??????	0.5000

P 1 m 1

SG No: 6 (Standard short HM symbol: Pm)

Number of alternate origins: 2

This is a polar spacegroup: the origin is not fixed along the C axis

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	??????
2	0.0000	0.5000	??????

P 1 c 1

SG No: 7 (Standard short HM symbol: Pc)

Number of alternate origins: 2

This is a polar spacegroup: the origin is not fixed along the C axis

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	??????
2	0.0000	0.5000	??????

C 1 m 1

SG No: 8 (Standard short HM symbol: Cm)

Number of alternate origins: 2

This is a polar spacegroup: the origin is not fixed along the C axis

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	??????
2	0.0000	0.5000	??????

C 1 c 1

SG No: 9 (Standard short HM symbol: Cc)

Number of alternate origins: 2

This is a polar spacegroup: the origin is not fixed along the C axis

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	??????
2	0.0000	0.5000	??????

P 1 2/m 1

SG No: 10 (Standard short HM symbol: P2/m)

Number of alternate origins: 8

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.0000	0.0000	0.5000
3	0.0000	0.5000	0.0000
4	0.0000	0.5000	0.5000
5	0.5000	0.0000	0.0000
6	0.5000	0.0000	0.5000
7	0.5000	0.5000	0.0000
8	0.5000	0.5000	0.5000

P 1 2₁/m 1

SG No: 11 (Standard short HM symbol: P2₁/m)

Number of alternate origins: 8

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.0000	0.0000	0.5000
3	0.0000	0.5000	0.0000
4	0.0000	0.5000	0.5000
5	0.5000	0.0000	0.0000
6	0.5000	0.0000	0.5000
7	0.5000	0.5000	0.0000
8	0.5000	0.5000	0.5000

C 1 2/m 1

SG No: 12 (Standard short HM symbol: C2/m)

Number of alternate origins: 8

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.0000	0.0000	0.5000
3	0.0000	0.5000	0.0000
4	0.0000	0.5000	0.5000
5	0.5000	0.0000	0.0000
6	0.5000	0.0000	0.5000
7	0.5000	0.5000	0.0000
8	0.5000	0.5000	0.5000

P 1 2/c 1

SG No: 13 (Standard short HM symbol: P2/c)

Number of alternate origins: 8

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.0000	0.0000	0.5000
3	0.0000	0.5000	0.0000
4	0.0000	0.5000	0.5000
5	0.5000	0.0000	0.0000
6	0.5000	0.0000	0.5000
7	0.5000	0.5000	0.0000
8	0.5000	0.5000	0.5000

P 1 2₁/c 1

SG No: 14 (Standard short HM symbol: P2₁/c)

Number of alternate origins: 8

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.0000	0.0000	0.5000
3	0.0000	0.5000	0.0000
4	0.0000	0.5000	0.5000
5	0.5000	0.0000	0.0000
6	0.5000	0.0000	0.5000
7	0.5000	0.5000	0.0000
8	0.5000	0.5000	0.5000

C 1 2/c 1

SG No: 15 (Standard short HM symbol: C2/c)

Number of alternate origins: 8

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.0000	0.0000	0.5000
3	0.0000	0.5000	0.0000
4	0.0000	0.5000	0.5000
5	0.5000	0.0000	0.0000
6	0.5000	0.0000	0.5000
7	0.5000	0.5000	0.0000
8	0.5000	0.5000	0.5000

P 2 2 2

SG No: 16

Number of alternate origins: 8

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.0000	0.0000	0.5000
3	0.0000	0.5000	0.0000
4	0.0000	0.5000	0.5000
5	0.5000	0.0000	0.0000
6	0.5000	0.0000	0.5000
7	0.5000	0.5000	0.0000
8	0.5000	0.5000	0.5000

P 2 2 2₁

SG No: 17₁

Number of alternate origins: 8

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.0000	0.0000	0.5000
3	0.0000	0.5000	0.0000
4	0.0000	0.5000	0.5000
5	0.5000	0.0000	0.0000
6	0.5000	0.0000	0.5000
7	0.5000	0.5000	0.0000
8	0.5000	0.5000	0.5000

P 2₁ 2₁ 2

SG No: 18₁

Number of alternate origins: 8

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.0000	0.0000	0.5000
3	0.0000	0.5000	0.0000
4	0.0000	0.5000	0.5000
5	0.5000	0.0000	0.0000
6	0.5000	0.0000	0.5000
7	0.5000	0.5000	0.0000
8	0.5000	0.5000	0.5000

P 2₁ 2₁ 2₁

SG No: 19₁

Number of alternate origins: 8

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.0000	0.0000	0.5000
3	0.0000	0.5000	0.0000
4	0.0000	0.5000	0.5000
5	0.5000	0.0000	0.0000
6	0.5000	0.0000	0.5000
7	0.5000	0.5000	0.0000
8	0.5000	0.5000	0.5000

C 2 2 2₁

SG No: 20₁

Number of alternate origins: 8

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.0000	0.0000	0.5000
3	0.0000	0.5000	0.0000
4	0.0000	0.5000	0.5000
5	0.5000	0.0000	0.0000
6	0.5000	0.0000	0.5000
7	0.5000	0.5000	0.0000
8	0.5000	0.5000	0.5000

C 2 2 2

SG No: 21

Number of alternate origins: 8

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.0000	0.0000	0.5000
3	0.0000	0.5000	0.0000
4	0.0000	0.5000	0.5000
5	0.5000	0.0000	0.0000
6	0.5000	0.0000	0.5000
7	0.5000	0.5000	0.0000
8	0.5000	0.5000	0.5000

F 2 2 2

SG No: 22

Number of alternate origins: 8

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.0000	0.0000	0.5000
3	0.0000	0.5000	0.0000
4	0.0000	0.5000	0.5000
5	0.5000	0.0000	0.0000
6	0.5000	0.0000	0.5000
7	0.5000	0.5000	0.0000
8	0.5000	0.5000	0.5000

I 2 2 2

SG No: 23

Number of alternate origins: 8

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.0000	0.0000	0.5000
3	0.0000	0.5000	0.0000
4	0.0000	0.5000	0.5000
5	0.5000	0.0000	0.0000
6	0.5000	0.0000	0.5000
7	0.5000	0.5000	0.0000
8	0.5000	0.5000	0.5000

I 2₁ 2₁ 2₁

SG No: 24₁

Number of alternate origins: 8

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.0000	0.0000	0.5000
3	0.0000	0.5000	0.0000
4	0.0000	0.5000	0.5000
5	0.5000	0.0000	0.0000
6	0.5000	0.0000	0.5000
7	0.5000	0.5000	0.0000
8	0.5000	0.5000	0.5000

P m m 2

SG No: 25

Number of alternate origins: 4

This is a polar spacegroup: the origin is not fixed along the C axis

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	??????
2	0.0000	0.5000	??????
3	0.5000	0.0000	??????
4	0.5000	0.5000	??????

P m c 2₁

SG No: 26₁

Number of alternate origins: 4

This is a polar spacegroup: the origin is not fixed along the C axis

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	??????
2	0.0000	0.5000	??????
3	0.5000	0.0000	??????
4	0.5000	0.5000	??????

P c c 2

SG No: 27

Number of alternate origins: 4

This is a polar spacegroup: the origin is not fixed along the C axis

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	??????
2	0.0000	0.5000	??????
3	0.5000	0.0000	??????
4	0.5000	0.5000	??????

P m a 2

SG No: 28

Number of alternate origins: 4

This is a polar spacegroup: the origin is not fixed along the C axis

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	??????
2	0.0000	0.5000	??????
3	0.5000	0.0000	??????
4	0.5000	0.5000	??????

P c a 2₁

SG No: 29₁

Number of alternate origins: 4

This is a polar spacegroup: the origin is not fixed along the C axis

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	??????
2	0.0000	0.5000	??????
3	0.5000	0.0000	??????
4	0.5000	0.5000	??????

P n c 2

SG No: 30

Number of alternate origins: 4

This is a polar spacegroup: the origin is not fixed along the C axis

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	??????
2	0.0000	0.5000	??????
3	0.5000	0.0000	??????
4	0.5000	0.5000	??????

P m n 2₁

SG No: 31₁

Number of alternate origins: 4

This is a polar spacegroup: the origin is not fixed along the C axis

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	??????
2	0.0000	0.5000	??????
3	0.5000	0.0000	??????
4	0.5000	0.5000	??????

P b a 2

SG No: 32

Number of alternate origins: 4

This is a polar spacegroup: the origin is not fixed along the C axis

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	??????
2	0.0000	0.5000	??????
3	0.5000	0.0000	??????
4	0.5000	0.5000	??????

P n a 2₁

SG No: 33₁

Number of alternate origins: 4

This is a polar spacegroup: the origin is not fixed along the C axis

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	??????
2	0.0000	0.5000	??????
3	0.5000	0.0000	??????
4	0.5000	0.5000	??????

P n n 2

SG No: 34

Number of alternate origins: 4

This is a polar spacegroup: the origin is not fixed along the C axis

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	??????
2	0.0000	0.5000	??????
3	0.5000	0.0000	??????
4	0.5000	0.5000	??????

C m m 2

SG No: 35

Number of alternate origins: 4

This is a polar spacegroup: the origin is not fixed along the C axis

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	??????
2	0.0000	0.5000	??????
3	0.5000	0.0000	??????
4	0.5000	0.5000	??????

C m c 2₁

SG No: 36₁

Number of alternate origins: 4

This is a polar spacegroup: the origin is not fixed along the C axis

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	??????
2	0.0000	0.5000	??????
3	0.5000	0.0000	??????
4	0.5000	0.5000	??????

C c c 2

SG No: 37

Number of alternate origins: 4

This is a polar spacegroup: the origin is not fixed along the C axis

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	??????
2	0.0000	0.5000	??????
3	0.5000	0.0000	??????
4	0.5000	0.5000	??????

A m m 2

SG No: 38

Number of alternate origins: 4

This is a polar spacegroup: the origin is not fixed along the C axis

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	??????
2	0.0000	0.5000	??????
3	0.5000	0.0000	??????
4	0.5000	0.5000	??????

A b m 2

SG No: 39

Number of alternate origins: 4

This is a polar spacegroup: the origin is not fixed along the C axis

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	??????
2	0.0000	0.5000	??????
3	0.5000	0.0000	??????
4	0.5000	0.5000	??????

A m a 2

SG No: 40

Number of alternate origins: 4

This is a polar spacegroup: the origin is not fixed along the C axis

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	??????
2	0.0000	0.5000	??????
3	0.5000	0.0000	??????
4	0.5000	0.5000	??????

A b a 2

SG No: 41

Number of alternate origins: 4

This is a polar spacegroup: the origin is not fixed along the C axis

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	??????
2	0.0000	0.5000	??????
3	0.5000	0.0000	??????
4	0.5000	0.5000	??????

F m m 2

SG No: 42

Number of alternate origins: 4

This is a polar spacegroup: the origin is not fixed along the C axis

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	??????
2	0.0000	0.5000	??????
3	0.5000	0.0000	??????
4	0.5000	0.5000	??????

F d d 2

SG No: 43

Number of alternate origins: 4

This is a polar spacegroup: the origin is not fixed along the C axis

Norigin Xo Yo Zo

1 0.0000 0.0000 ??????

2 0.0000 0.5000 ??????

3 0.5000 0.0000 ??????

4 0.5000 0.5000 ??????

I m m 2

SG No: 44

Number of alternate origins: 4

This is a polar spacegroup: the origin is not fixed along the C axis

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	??????
2	0.0000	0.5000	??????
3	0.5000	0.0000	??????
4	0.5000	0.5000	??????

I b a 2

SG No: 45

Number of alternate origins: 4

This is a polar spacegroup: the origin is not fixed along the C axis

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	??????
2	0.0000	0.5000	??????
3	0.5000	0.0000	??????
4	0.5000	0.5000	??????

I m a 2

SG No: 46

Number of alternate origins: 4

This is a polar spacegroup: the origin is not fixed along the C axis

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	??????
2	0.0000	0.5000	??????
3	0.5000	0.0000	??????
4	0.5000	0.5000	??????

P m m m

SG No: 47 (Standard full HM symbol: P 2/m 2/m 2/m)

Number of alternate origins: 8

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.0000	0.0000	0.5000
3	0.0000	0.5000	0.0000
4	0.0000	0.5000	0.5000
5	0.5000	0.0000	0.0000
6	0.5000	0.0000	0.5000
7	0.5000	0.5000	0.0000
8	0.5000	0.5000	0.5000

P n n n	SG No: 48 (Standard full HM symbol: P 2/n 2/n 2/n;
	note settings 'P n n n :1' and 'P n n n :2')

Number of alternate origins: 8

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.0000	0.0000	0.5000
3	0.0000	0.5000	0.0000
4	0.0000	0.5000	0.5000
5	0.5000	0.0000	0.0000
6	0.5000	0.0000	0.5000
7	0.5000	0.5000	0.0000
8	0.5000	0.5000	0.5000

P c c m

SG No: 49 (Standard full HM symbol: P 2/c 2/c 2/m)

Number of alternate origins: 8

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.0000	0.0000	0.5000
3	0.0000	0.5000	0.0000
4	0.0000	0.5000	0.5000
5	0.5000	0.0000	0.0000
6	0.5000	0.0000	0.5000
7	0.5000	0.5000	0.0000
8	0.5000	0.5000	0.5000

P b a n	SG No: 50 (Standard full HM symbol: P 2/b 2/a 2/n;
	note settings 'P b a n :1', 'P b a n :2', 'P n c b :1', 'P n c b :2', 'P c n a :1', 'P c n a :2')

Number of alternate origins: 8

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.0000	0.0000	0.5000
3	0.0000	0.5000	0.0000
4	0.0000	0.5000	0.5000
5	0.5000	0.0000	0.0000
6	0.5000	0.0000	0.5000
7	0.5000	0.5000	0.0000
8	0.5000	0.5000	0.5000

P m m a₁

SG No: 51 (Standard full HM symbol: P 2₁/m 2/m 2/a)

Number of alternate origins: 8

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.0000	0.0000	0.5000
3	0.0000	0.5000	0.0000
4	0.0000	0.5000	0.5000
5	0.5000	0.0000	0.0000
6	0.5000	0.0000	0.5000
7	0.5000	0.5000	0.0000
8	0.5000	0.5000	0.5000

P n n a₁

SG No: 52 (Standard full HM symbol: P 2/n 2₁/n 2/a)

Number of alternate origins: 8

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.0000	0.0000	0.5000
3	0.0000	0.5000	0.0000
4	0.0000	0.5000	0.5000
5	0.5000	0.0000	0.0000
6	0.5000	0.0000	0.5000
7	0.5000	0.5000	0.0000
8	0.5000	0.5000	0.5000

P m n a₁

SG No: 53 (Standard full HM symbol: P 2/m 2/n 2₁/a)

Number of alternate origins: 8

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.0000	0.0000	0.5000
3	0.0000	0.5000	0.0000
4	0.0000	0.5000	0.5000
5	0.5000	0.0000	0.0000
6	0.5000	0.0000	0.5000
7	0.5000	0.5000	0.0000
8	0.5000	0.5000	0.5000

P c c a₁

SG No: 54 (Standard full HM symbol: P 2₁/c 2/c 2/a)

Number of alternate origins: 8

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.0000	0.0000	0.5000
3	0.0000	0.5000	0.0000
4	0.0000	0.5000	0.5000
5	0.5000	0.0000	0.0000
6	0.5000	0.0000	0.5000
7	0.5000	0.5000	0.0000
8	0.5000	0.5000	0.5000

P b a m₁

SG No: 55 (Standard full HM symbol: P 2₁/b 2₁/a 2/m)

Number of alternate origins: 8

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.0000	0.0000	0.5000
3	0.0000	0.5000	0.0000
4	0.0000	0.5000	0.5000
5	0.5000	0.0000	0.0000
6	0.5000	0.0000	0.5000
7	0.5000	0.5000	0.0000
8	0.5000	0.5000	0.5000

P c c n₁

SG No: 56 (Standard full HM symbol: P 2₁/c 2₁/c 2/n)

Number of alternate origins: 8

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.0000	0.0000	0.5000
3	0.0000	0.5000	0.0000
4	0.0000	0.5000	0.5000
5	0.5000	0.0000	0.0000
6	0.5000	0.0000	0.5000
7	0.5000	0.5000	0.0000
8	0.5000	0.5000	0.5000

P b c m₁

SG No: 57 (Standard full HM symbol: P 2/b 2₁/c 2₁/m)

Number of alternate origins: 8

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.0000	0.0000	0.5000
3	0.0000	0.5000	0.0000
4	0.0000	0.5000	0.5000
5	0.5000	0.0000	0.0000
6	0.5000	0.0000	0.5000
7	0.5000	0.5000	0.0000
8	0.5000	0.5000	0.5000

P n n m₁

SG No: 58 (Standard full HM symbol: P 2₁/n 2₁/n 2/m)

Number of alternate origins: 8

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.0000	0.0000	0.5000
3	0.0000	0.5000	0.0000
4	0.0000	0.5000	0.5000
5	0.5000	0.0000	0.0000
6	0.5000	0.0000	0.5000
7	0.5000	0.5000	0.0000
8	0.5000	0.5000	0.5000

P m m n₁	SG No: 59 (Standard full HM symbol: P 2₁/m 2₁/m 2/n;
	note settings 'P m m n :1', 'P m m n :2', 'P n m m :1', 'P n m m :2', 'P m n m :1', 'P m n m :2')

Number of alternate origins: 8

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.0000	0.0000	0.5000
3	0.0000	0.5000	0.0000
4	0.0000	0.5000	0.5000
5	0.5000	0.0000	0.0000
6	0.5000	0.0000	0.5000
7	0.5000	0.5000	0.0000
8	0.5000	0.5000	0.5000

P b c n₁

SG No: 60 (Standard full HM symbol: P 2₁/b 2/c 2₁/n)

Number of alternate origins: 8

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.0000	0.0000	0.5000
3	0.0000	0.5000	0.0000
4	0.0000	0.5000	0.5000
5	0.5000	0.0000	0.0000
6	0.5000	0.0000	0.5000
7	0.5000	0.5000	0.0000
8	0.5000	0.5000	0.5000

P b c a₁

SG No: 61 (Standard full HM symbol: P 2₁/b 2₁/c 2₁/a)

Number of alternate origins: 8

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.0000	0.0000	0.5000
3	0.0000	0.5000	0.0000
4	0.0000	0.5000	0.5000
5	0.5000	0.0000	0.0000
6	0.5000	0.0000	0.5000
7	0.5000	0.5000	0.0000
8	0.5000	0.5000	0.5000

P n m a₁

SG No: 62 (Standard full HM symbol: P 2₁/n 2₁/m 2₁/a)

Number of alternate origins: 8

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.0000	0.0000	0.5000
3	0.0000	0.5000	0.0000
4	0.0000	0.5000	0.5000
5	0.5000	0.0000	0.0000
6	0.5000	0.0000	0.5000
7	0.5000	0.5000	0.0000
8	0.5000	0.5000	0.5000

C m c m₁

SG No: 63 (Standard full HM symbol: C 2/m 2/c 2₁/m)

Number of alternate origins: 8

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.0000	0.0000	0.5000
3	0.0000	0.5000	0.0000
4	0.0000	0.5000	0.5000
5	0.5000	0.0000	0.0000
6	0.5000	0.0000	0.5000
7	0.5000	0.5000	0.0000
8	0.5000	0.5000	0.5000

C m c a₁

SG No: 64 (Standard full HM symbol: C 2/m 2/c 2₁/a)

Number of alternate origins: 8

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.0000	0.0000	0.5000
3	0.0000	0.5000	0.0000
4	0.0000	0.5000	0.5000
5	0.5000	0.0000	0.0000
6	0.5000	0.0000	0.5000
7	0.5000	0.5000	0.0000
8	0.5000	0.5000	0.5000

C m m m

SG No: 65 (Standard full HM symbol: C 2/m 2/m 2/m)

Number of alternate origins: 8

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.0000	0.0000	0.5000
3	0.0000	0.5000	0.0000
4	0.0000	0.5000	0.5000
5	0.5000	0.0000	0.0000
6	0.5000	0.0000	0.5000
7	0.5000	0.5000	0.0000
8	0.5000	0.5000	0.5000

C c c m

SG No: 66 (Standard full HM symbol: C 2/c 2/c 2/m)

Number of alternate origins: 8

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.0000	0.0000	0.5000
3	0.0000	0.5000	0.0000
4	0.0000	0.5000	0.5000
5	0.5000	0.0000	0.0000
6	0.5000	0.0000	0.5000
7	0.5000	0.5000	0.0000
8	0.5000	0.5000	0.5000

C m m a

SG No: 67 (Standard full HM symbol: C 2/m 2/m 2/a)

Number of alternate origins: 8

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.0000	0.0000	0.5000
3	0.0000	0.5000	0.0000
4	0.0000	0.5000	0.5000
5	0.5000	0.0000	0.0000
6	0.5000	0.0000	0.5000
7	0.5000	0.5000	0.0000
8	0.5000	0.5000	0.5000

C c c a	SG No: 68 (Standard full HM symbol: C 2/c 2/c 2/a;
	note settings
	'C c c a :1', 'C c c a :2', 'C c c b :1', 'C c c b :2',
	'A b a a :1', 'A b a a :2', 'A c a a :1', 'A c a a :2',
	'B b c b :1', 'B b c b :2', 'B b a b :1', 'B b a b :2')

Number of alternate origins: 8

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.0000	0.0000	0.5000
3	0.0000	0.5000	0.0000
4	0.0000	0.5000	0.5000
5	0.5000	0.0000	0.0000
6	0.5000	0.0000	0.5000
7	0.5000	0.5000	0.0000
8	0.5000	0.5000	0.5000

F m m m

SG No: 69 (Standard full HM symbol: F 2/m 2/m 2/m)

Number of alternate origins: 8

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.0000	0.0000	0.5000
3	0.0000	0.5000	0.0000
4	0.0000	0.5000	0.5000
5	0.5000	0.0000	0.0000
6	0.5000	0.0000	0.5000
7	0.5000	0.5000	0.0000
8	0.5000	0.5000	0.5000

F d d d

SG No: 70 (Standard full HM symbol: F 2/d 2/d 2/d)

Number of alternate origins: 8

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.0000	0.0000	0.5000
3	0.0000	0.5000	0.0000
4	0.0000	0.5000	0.5000
5	0.5000	0.0000	0.0000
6	0.5000	0.0000	0.5000
7	0.5000	0.5000	0.0000
8	0.5000	0.5000	0.5000

I m m m

SG No: 71 (Standard full HM symbol: I 2/m 2/m 2/m)

Number of alternate origins: 8

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.0000	0.0000	0.5000
3	0.0000	0.5000	0.0000
4	0.0000	0.5000	0.5000
5	0.5000	0.0000	0.0000
6	0.5000	0.0000	0.5000
7	0.5000	0.5000	0.0000
8	0.5000	0.5000	0.5000

I b a m

SG No: 72 (Standard full HM symbol: I 2/b 2/a 2/m)

Number of alternate origins: 8

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.0000	0.0000	0.5000
3	0.0000	0.5000	0.0000
4	0.0000	0.5000	0.5000
5	0.5000	0.0000	0.0000
6	0.5000	0.0000	0.5000
7	0.5000	0.5000	0.0000
8	0.5000	0.5000	0.5000

I b c a₁

SG No: 73 (Standard full HM symbol: I 2₁/b 2₁/c 2₁/a)

Number of alternate origins: 8

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.0000	0.0000	0.5000
3	0.0000	0.5000	0.0000
4	0.0000	0.5000	0.5000
5	0.5000	0.0000	0.0000
6	0.5000	0.0000	0.5000
7	0.5000	0.5000	0.0000
8	0.5000	0.5000	0.5000

I m m a₁

SG No: 74 (Standard full HM symbol: I 2₁/m 2₁/m 2₁/a)

Number of alternate origins: 8

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.0000	0.0000	0.5000
3	0.0000	0.5000	0.0000
4	0.0000	0.5000	0.5000
5	0.5000	0.0000	0.0000
6	0.5000	0.0000	0.5000
7	0.5000	0.5000	0.0000
8	0.5000	0.5000	0.5000

P 4

SG No: 75

Number of alternate origins: 2

This is a polar spacegroup: the origin is not fixed along the C axis

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	??????
2	0.5000	0.5000	??????

P 4₁	SG No: 76₁

Number of alternate origins: 2

This is a polar spacegroup: the origin is not fixed along the C axis

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	??????
2	0.5000	0.5000	??????

P 4₂	SG No: 77₁

Number of alternate origins: 2

This is a polar spacegroup: the origin is not fixed along the C axis

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	??????
2	0.5000	0.5000	??????

P 4₃	SG No: 78₁

Number of alternate origins: 2

This is a polar spacegroup: the origin is not fixed along the C axis

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	??????
2	0.5000	0.5000	??????

I 4

SG No: 79

Number of alternate origins: 2

This is a polar spacegroup: the origin is not fixed along the C axis

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	??????
2	0.5000	0.5000	??????

I 4₁	SG No: 80₁

Number of alternate origins: 2

This is a polar spacegroup: the origin is not fixed along the C axis

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	??????
2	0.5000	0.5000	??????

P -4

SG No: 81

Number of alternate origins: 4

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.0000	0.0000	0.5000
3	0.5000	0.5000	0.0000
4	0.5000	0.5000	0.5000

I -4

SG No: 82

Number of alternate origins: 4

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.0000	0.0000	0.5000
3	0.5000	0.5000	0.0000
4	0.5000	0.5000	0.5000

P 4/m

SG No: 83

Number of alternate origins: 4

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.0000	0.0000	0.5000
3	0.5000	0.5000	0.0000
4	0.5000	0.5000	0.5000

P 4₂/m

SG No: 84₁

Number of alternate origins: 4

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.0000	0.0000	0.5000
3	0.5000	0.5000	0.0000
4	0.5000	0.5000	0.5000

P 4/n

SG No: 85

Number of alternate origins: 4

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.0000	0.0000	0.5000
3	0.5000	0.5000	0.0000
4	0.5000	0.5000	0.5000

P 4₂/n

SG No: 86₁

Number of alternate origins: 4

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.0000	0.0000	0.5000
3	0.5000	0.5000	0.0000
4	0.5000	0.5000	0.5000

I 4/m

SG No: 87

Number of alternate origins: 4

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.0000	0.0000	0.5000
3	0.5000	0.5000	0.0000
4	0.5000	0.5000	0.5000

I 4₁/a

SG No: 88₁

Number of alternate origins: 4

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.0000	0.0000	0.5000
3	0.5000	0.5000	0.0000
4	0.5000	0.5000	0.5000

P 4 2 2

SG No: 89

Number of alternate origins: 4

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.0000	0.0000	0.5000
3	0.5000	0.5000	0.0000
4	0.5000	0.5000	0.5000

P 4 2₁ 2

SG No: 90₁

Number of alternate origins: 4

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.0000	0.0000	0.5000
3	0.5000	0.5000	0.0000
4	0.5000	0.5000	0.5000

P 4₁ 2 2

SG No: 91₁

Number of alternate origins: 4

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.0000	0.0000	0.5000
3	0.5000	0.5000	0.0000
4	0.5000	0.5000	0.5000

P 4₁ 2₁ 2

SG No: 92₁

Number of alternate origins: 4

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.0000	0.0000	0.5000
3	0.5000	0.5000	0.0000
4	0.5000	0.5000	0.5000

P 4₂ 2 2

SG No: 93₁

Number of alternate origins: 4

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.0000	0.0000	0.5000
3	0.5000	0.5000	0.0000
4	0.5000	0.5000	0.5000

P 4₂ 2₁ 2

SG No: 94₁

Number of alternate origins: 4

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.0000	0.0000	0.5000
3	0.5000	0.5000	0.0000
4	0.5000	0.5000	0.5000

P 4₃ 2 2

SG No: 95₁

Number of alternate origins: 4

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.0000	0.0000	0.5000
3	0.5000	0.5000	0.0000
4	0.5000	0.5000	0.5000

P 4₃ 2₁ 2

SG No: 96₁

Number of alternate origins: 4

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.0000	0.0000	0.5000
3	0.5000	0.5000	0.0000
4	0.5000	0.5000	0.5000

I 4 2 2

SG No: 97

Number of alternate origins: 4

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.0000	0.0000	0.5000
3	0.5000	0.5000	0.0000
4	0.5000	0.5000	0.5000

I 4₁ 2 2

SG No: 98₁

Number of alternate origins: 4

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.0000	0.0000	0.5000
3	0.5000	0.5000	0.0000
4	0.5000	0.5000	0.5000

P 4 m m

SG No: 99

Number of alternate origins: 2

This is a polar spacegroup: the origin is not fixed along the C axis

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	??????
2	0.5000	0.5000	??????

P 4 b m

SG No: 100

Number of alternate origins: 2

This is a polar spacegroup: the origin is not fixed along the C axis

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	??????
2	0.5000	0.5000	??????

P 4₂ c m

SG No: 101₁

Number of alternate origins: 2

This is a polar spacegroup: the origin is not fixed along the C axis

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	??????
2	0.5000	0.5000	??????

P 4₂ n m

SG No: 102₁

Number of alternate origins: 2

This is a polar spacegroup: the origin is not fixed along the C axis

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.5000	0.5000	0.0000

P 4 c c

SG No: 103

Number of alternate origins: 2

This is a polar spacegroup: the origin is not fixed along the C axis

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	??????
2	0.5000	0.5000	??????

P 4 n c

SG No: 104

Number of alternate origins: 2

This is a polar spacegroup: the origin is not fixed along the C axis

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	??????
2	0.5000	0.5000	??????

P 4₂ m c

SG No: 105₁

Number of alternate origins: 2

This is a polar spacegroup: the origin is not fixed along the C axis

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	??????
2	0.5000	0.5000	??????

P 4₂ b c

SG No: 106₁

Number of alternate origins: 2

This is a polar spacegroup: the origin is not fixed along the C axis

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	??????
2	0.5000	0.5000	??????

I 4 m m

SG No: 107

Number of alternate origins: 2

This is a polar spacegroup: the origin is not fixed along the C axis

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.5000	0.5000	0.0000

I 4 c m

SG No: 108

Number of alternate origins: 2

This is a polar spacegroup: the origin is not fixed along the C axis

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	??????
2	0.5000	0.5000	??????

I 4₁ m d

SG No: 109₁

Number of alternate origins: 2

This is a polar spacegroup: the origin is not fixed along the C axis

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	??????
2	0.5000	0.5000	??????

I 4₁ c d

SG No: 110₁

Number of alternate origins: 2

This is a polar spacegroup: the origin is not fixed along the C axis

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	??????
2	0.5000	0.5000	??????

P -4 2 m

SG No: 111

Number of alternate origins: 4

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.0000	0.0000	0.5000
3	0.5000	0.5000	0.0000
4	0.5000	0.5000	0.5000

P -4 2 c

SG No: 112

Number of alternate origins: 4

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.0000	0.0000	0.5000
3	0.5000	0.5000	0.0000
4	0.5000	0.5000	0.5000

P -4 2₁ m

SG No: 113₁

Number of alternate origins: 4

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.0000	0.0000	0.5000
3	0.5000	0.5000	0.0000
4	0.5000	0.5000	0.5000

P -4 2₁ c

SG No: 114₁

Number of alternate origins: 4

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.0000	0.0000	0.5000
3	0.5000	0.5000	0.0000
4	0.5000	0.5000	0.5000

P -4 m 2

SG No: 115

Number of alternate origins: 4

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.0000	0.0000	0.5000
3	0.5000	0.5000	0.0000
4	0.5000	0.5000	0.5000

P -4 c 2

SG No: 116

Number of alternate origins: 4

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.0000	0.0000	0.5000
3	0.5000	0.5000	0.0000
4	0.5000	0.5000	0.5000

P -4 b 2

SG No: 117

Number of alternate origins: 4

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.0000	0.0000	0.5000
3	0.5000	0.5000	0.0000
4	0.5000	0.5000	0.5000

P -4 n 2

SG No: 118

Number of alternate origins: 4

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.0000	0.0000	0.5000
3	0.5000	0.5000	0.0000
4	0.5000	0.5000	0.5000

I -4 m 2

SG No: 119

Number of alternate origins: 4

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.0000	0.0000	0.5000
3	0.5000	0.5000	0.0000
4	0.5000	0.5000	0.5000

I -4 c 2

SG No: 120

Number of alternate origins: 4

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.0000	0.0000	0.5000
3	0.5000	0.5000	0.0000
4	0.5000	0.5000	0.5000

I -4 2 m

SG No: 121

Number of alternate origins: 4

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.0000	0.0000	0.5000
3	0.5000	0.5000	0.0000
4	0.5000	0.5000	0.5000

I -4 2 d

SG No: 122

Number of alternate origins: 4

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.0000	0.0000	0.5000
3	0.5000	0.5000	0.0000
4	0.5000	0.5000	0.5000

P 4/m m m

SG No: 123 (full HM symbol: P 4/m 2/m 2/m)

Number of alternate origins: 4

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.0000	0.0000	0.5000
3	0.5000	0.5000	0.0000
4	0.5000	0.5000	0.5000

P 4/m c c

SG No: 124 (full HM symbol: P 4/m 2/c 2/c)

Number of alternate origins: 4

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.0000	0.0000	0.5000
3	0.5000	0.5000	0.0000
4	0.5000	0.5000	0.5000

P 4/n b m

SG No: 125 (full HM symbol: P 4/n 2/b 2/m)

Number of alternate origins: 4

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.0000	0.0000	0.5000
3	0.5000	0.5000	0.0000
4	0.5000	0.5000	0.5000

P 4/n n c

SG No: 126 (full HM symbol: P 4/n 2/n 2/c)

Number of alternate origins: 4

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.0000	0.0000	0.5000
3	0.5000	0.5000	0.0000
4	0.5000	0.5000	0.5000

P 4/m b m₁

SG No: 127 (full HM symbol: P 4/m 2₁/b 2/m)

Number of alternate origins: 4

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.0000	0.0000	0.5000
3	0.5000	0.5000	0.0000
4	0.5000	0.5000	0.5000

P 4/m n c₁

SG No: 128 (full HM symbol: P4/m 2₁/n 2/c)

Number of alternate origins: 4

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.0000	0.0000	0.5000
3	0.5000	0.5000	0.0000
4	0.5000	0.5000	0.5000

P 4/n m m₁

SG No: 129 (full HM symbol: P 4/n 2₁/m 2/m)

Number of alternate origins: 4

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.0000	0.0000	0.5000
3	0.5000	0.5000	0.0000
4	0.5000	0.5000	0.5000

P 4/n c c₁

SG No: 130 (full HM symbol: P 4/n 2₁/c 2/c)

Number of alternate origins: 4

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.0000	0.0000	0.5000
3	0.5000	0.5000	0.0000
4	0.5000	0.5000	0.5000

P 4₂/m m c

SG No: 131 (full HM symbol: P 4₂/m 2/m 2/c)

Number of alternate origins: 4

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.0000	0.0000	0.5000
3	0.5000	0.5000	0.0000
4	0.5000	0.5000	0.5000

P 4₂/m c m

SG No: 132 (full HM symbol: P 4₂/m 2/c 2/m)

Number of alternate origins: 4

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.0000	0.0000	0.5000
3	0.5000	0.5000	0.0000
4	0.5000	0.5000	0.5000

P 4₂/n b c

SG No: 133 (full HM symbol: P 4₂/n 2/b 2/c)

Number of alternate origins: 4

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.0000	0.0000	0.5000
3	0.5000	0.5000	0.0000
4	0.5000	0.5000	0.5000

P 4₂/n n m

SG No: 134 (full HM symbol: P 4₂/n 2/n 2/m)

Number of alternate origins: 4

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.0000	0.0000	0.5000
3	0.5000	0.5000	0.0000
4	0.5000	0.5000	0.5000

P 4₂/m b c

SG No: 135 (full HM symbol: P 4₂/m 2₁/b 2/c)

Number of alternate origins: 4

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.0000	0.0000	0.5000
3	0.5000	0.5000	0.0000
4	0.5000	0.5000	0.5000

P 4₂/m n m

SG No: 136 (full HM symbol: P 4₂/m 2₁/n 2/m)

Number of alternate origins: 4

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.0000	0.0000	0.5000
3	0.5000	0.5000	0.0000
4	0.5000	0.5000	0.5000

P 4₂/n m c

SG No: 137 (full HM symbol: P 4₂/n 2₁/m 2/c)

Number of alternate origins: 4

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.0000	0.0000	0.5000
3	0.5000	0.5000	0.0000
4	0.5000	0.5000	0.5000

P 4₂/n c m

SG No: 138 (full HM symbol: P 4₂/n 2₁/c 2/m)

Number of alternate origins: 4

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.0000	0.0000	0.5000
3	0.5000	0.5000	0.0000
4	0.5000	0.5000	0.5000

I 4/m m m

SG No: 139 (full HM symbol: P 4/m 2/m 2/m)

Number of alternate origins: 4

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.0000	0.0000	0.5000
3	0.5000	0.5000	0.0000
4	0.5000	0.5000	0.5000

I 4/m c m

SG No: 140 (full HM symbol: P 4/m 2/c 2/c)

Number of alternate origins: 4

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.0000	0.0000	0.5000
3	0.5000	0.5000	0.0000
4	0.5000	0.5000	0.5000

I 4₁/a m d

SG No: 141 (full HM symbol: I 4₁/a 2/m 2/d)

Number of alternate origins: 4

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.0000	0.0000	0.5000
3	0.5000	0.5000	0.0000
4	0.5000	0.5000	0.5000

I 4₁/a c d

SG No: 142 (full HM symbol: I 4₁/a 2/c 2/d)

Number of alternate origins: 4

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.0000	0.0000	0.5000
3	0.5000	0.5000	0.0000
4	0.5000	0.5000	0.5000

P 3	SG No: 143

Number of alternate origins: 3

This is a polar spacegroup: the origin is not fixed along the C axis

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	??????
2	0.3333	0.6667	??????
3	0.6667	0.3333	??????

P 3₁	SG No: 144₁

Number of alternate origins: 3

This is a polar spacegroup: the origin is not fixed along the C axis

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	??????
2	0.3333	0.6667	??????
3	0.6667	0.3333	??????

P 3₂	SG No: 145₁

Number of alternate origins: 3

This is a polar spacegroup: the origin is not fixed along the C axis

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	??????
2	0.3333	0.6667	??????
3	0.6667	0.3333	??????

H 3	SG No: 146 (note settings 'R 3 :H' and 'R 3 :R')

Number of alternate origins: 3

This is a polar spacegroup: the origin is not fixed along the C axis

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	??????
2	0.3333	0.6667	??????
3	0.6667	0.3333	??????

P -3	SG No: 147

Number of alternate origins: 2

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.0000	0.0000	0.5000

H -3	SG No: 148 (note settings 'R -3 :H' and 'R -3 :R')

Number of alternate origins: 2

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.0000	0.0000	0.5000

P 3 1 2

SG No: 149

Number of alternate origins: 6

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.0000	0.0000	0.5000
3	0.3333	0.6667	0.0000
4	0.3333	0.6667	0.5000
5	0.6667	0.3333	0.0000
6	0.6667	0.3333	0.5000

P 3 2 1

SG No: 150

Number of alternate origins: 2

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.0000	0.0000	0.5000

P 3₁ 1 2

SG No: 151₁

Number of alternate origins: 6

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.0000	0.0000	0.5000
3	0.3333	0.6667	0.0000
4	0.3333	0.6667	0.5000
5	0.6667	0.3333	0.0000
6	0.6667	0.3333	0.5000

P 3₁ 2 1

SG No: 152₁

Number of alternate origins: 2

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.0000	0.0000	0.5000

P 3₂ 1 2

SG No: 153₁

Number of alternate origins: 6

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.0000	0.0000	0.5000
3	0.3333	0.6667	0.0000
4	0.3333	0.6667	0.5000
5	0.6667	0.3333	0.0000
6	0.6667	0.3333	0.5000

P 3₂ 2 1

SG No: 154₁

Number of alternate origins: 2

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.0000	0.0000	0.5000

H 3 2

SG No: 155 (note settings 'R 3 2 :H' and 'R 3 2 :R')

Number of alternate origins: 2

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.0000	0.0000	0.5000

P 3 m 1

SG No: 156

Number of alternate origins: 3

This is a polar spacegroup: the origin is not fixed along the C axis

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	??????
2	0.3333	0.6667	??????
3	0.6667	0.3333	??????

P 3 1 m

SG No: 157

Number of alternate origins: 1

This is a polar spacegroup: the origin is not fixed along the C axis

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	??????

P 3 c 1

SG No: 158

Number of alternate origins: 3

This is a polar spacegroup: the origin is not fixed along the C axis

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	??????
2	0.3333	0.6667	??????
3	0.6667	0.3333	??????

P 3 1 c

SG No: 159

Number of alternate origins: 1

This is a polar spacegroup: the origin is not fixed along the C axis

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	??????

H 3 m

SG No: 160 (note settings 'R 3 m :H' and 'R 3 m :R')

Number of alternate origins: 3

This is a polar spacegroup: the origin is not fixed along the C axis

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	??????
2	0.3333	0.6667	??????
3	0.6667	0.3333	??????

H 3 c

SG No: 161 (note settings 'R 3 c :H' and 'R 3 c :R')

Number of alternate origins: 3

This is a polar spacegroup: the origin is not fixed along the C axis

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	??????
2	0.3333	0.6667	??????
3	0.6667	0.3333	??????

P -3 1 m

SG No: 162 (full HM symbol: P -3 1 2/m)

Number of alternate origins: 2

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.0000	0.0000	0.5000

P -3 1 c

SG No: 163 (full HM symbol: P -3 1 2/c)

Number of alternate origins: 2

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.0000	0.0000	0.5000

P -3 m 1

SG No: 164 (full HM symbol: P -3 2/m 1)

Number of alternate origins: 2

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.0000	0.0000	0.5000

P -3 c 1

SG No: 165 (full HM symbol: P -3 2/c 1)

Number of alternate origins: 2

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.0000	0.0000	0.5000

H -3 m	SG No: 166 (full HM symbol: H -3 2/m;
	note settings 'R -3 m :H' and 'R -3 m :R')

Number of alternate origins: 2

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.0000	0.0000	0.5000

H -3 c	SG No: 167 (full HM symbol: H -3 2/c;
	note settings 'R -3 c :H' and 'R -3 c :R')

Number of alternate origins: 2

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.0000	0.0000	0.5000

P 6	SG No: 168

Number of alternate origins: 1

This is a polar spacegroup: the origin is not fixed along the C axis

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	??????

P 6₁	SG No: 169₁

Number of alternate origins: 1

This is a polar spacegroup: the origin is not fixed along the C axis

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	??????

P 6₅	SG No: 170₁

Number of alternate origins: 1

This is a polar spacegroup: the origin is not fixed along the C axis

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	??????

P 6₂	SG No: 171₁

Number of alternate origins: 1

This is a polar spacegroup: the origin is not fixed along the C axis

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	??????

P 6₄	SG No: 172₁

Number of alternate origins: 1

This is a polar spacegroup: the origin is not fixed along the C axis

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	??????

P 6₃	SG No: 173₁

Number of alternate origins: 1

This is a polar spacegroup: the origin is not fixed along the C axis

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	??????

P -6	SG No: 174

Number of alternate origins: 6

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.0000	0.0000	0.5000
3	0.3333	0.6667	0.0000
4	0.3333	0.6667	0.5000
5	0.6667	0.3333	0.0000
6	0.6667	0.3333	0.5000

P 6/m

SG No: 175

Number of alternate origins: 2

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.0000	0.0000	0.5000

P 6₃/m

SG No: 176₁

Number of alternate origins: 2

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.0000	0.0000	0.5000

P 6 2 2

SG No: 177

Number of alternate origins: 2

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.0000	0.0000	0.5000

P 6₁ 2 2

SG No: 178₁

Number of alternate origins: 2

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.0000	0.0000	0.5000

P 6₅ 2 2

SG No: 179₁

Number of alternate origins: 2

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.0000	0.0000	0.5000

P 6₂ 2 2

SG No: 180₁

Number of alternate origins: 2

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.0000	0.0000	0.5000

P 6₄ 2 2

SG No: 181₁

Number of alternate origins: 2

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.0000	0.0000	0.5000

P 6₃ 2 2

SG No: 182₁

Number of alternate origins: 2

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.0000	0.0000	0.5000

P 6 m m

SG No: 183

Number of alternate origins: 1

This is a polar spacegroup: the origin is not fixed along the C axis

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	??????

P 6 c c

SG No: 184

Number of alternate origins: 1

This is a polar spacegroup: the origin is not fixed along the C axis

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	??????

P 6₃ c m

SG No: 185₁

Number of alternate origins: 1

This is a polar spacegroup: the origin is not fixed along the C axis

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	??????

P 6₃ m c

SG No: 186₁

Number of alternate origins: 1

This is a polar spacegroup: the origin is not fixed along the C axis

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	??????

P -6 m 2

SG No: 187

Number of alternate origins: 6

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.0000	0.0000	0.5000
3	0.3333	0.6667	0.0000
4	0.3333	0.6667	0.5000
5	0.6667	0.3333	0.0000
6	0.6667	0.3333	0.5000

P -6 c 2

SG No: 188

Number of alternate origins: 6

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.0000	0.0000	0.5000
3	0.3333	0.6667	0.0000
4	0.3333	0.6667	0.5000
5	0.6667	0.3333	0.0000
6	0.6667	0.3333	0.5000

P -6 2 m

SG No: 189

Number of alternate origins: 2

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.0000	0.0000	0.5000

P -6 2 c

SG No: 190

Number of alternate origins: 2

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.0000	0.0000	0.5000

P 6/m m m

SG No: 191 (full HM symbol: P 6/m 2/m 2/m)

Number of alternate origins: 2

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.0000	0.0000	0.5000

P 6/m c c

SG No: 192 (full HM symbol: P 6/m 2/c 2/c)

Number of alternate origins: 2

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.0000	0.0000	0.5000

P 6₃/m c m

SG No: 193 (full HM symbol: P 6₃/m 2/c 2/m)

Number of alternate origins: 2

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.0000	0.0000	0.5000

P 6₃/m m c

SG No: 194 (full HM symbol: P 6₃/m 2/m 2/c)

Number of alternate origins: 2

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.0000	0.0000	0.5000

P 2 3

SG No: 195

Number of alternate origins: 2

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.5000	0.5000	0.5000

F 2 3

SG No: 196

Number of alternate origins: 2

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.5000	0.5000	0.5000

I 2 3

SG No: 197

Number of alternate origins: 2

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.5000	0.5000	0.5000

P 2₁ 3

SG No: 198₁

Number of alternate origins: 2

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.5000	0.5000	0.5000

I 2₁ 3

SG No: 199₁

Number of alternate origins: 2

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.5000	0.5000	0.5000

P m -3

SG No: 200 (full HM symbol: P 2/m -3)

Number of alternate origins: 2

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.5000	0.5000	0.5000

P n -3

SG No: 201 (full HM symbol: P 2/n -3)

Number of alternate origins: 2

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.5000	0.5000	0.5000

F m -3

SG No: 202 (full HM symbol: F 2/m -3)

Number of alternate origins: 2

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.5000	0.5000	0.5000

F d -3

SG No: 203 (full HM symbol: F 2/d -3)

Number of alternate origins: 2

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.5000	0.5000	0.5000

I m -3

SG No: 204 (full HM symbol: I 2/m -3)

Number of alternate origins: 2

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.5000	0.5000	0.5000

P a -3₁

SG No: 205 (full HM symbol: P 2₁/a -3)

Number of alternate origins: 2

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.5000	0.5000	0.5000

I a -3₁

SG No: 206 (full HM symbol: I 2₁/a -3)

Number of alternate origins: 2

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.5000	0.5000	0.5000

P 4 3 2

SG No: 207

Number of alternate origins: 2

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.5000	0.5000	0.5000

P 4₂ 3 2

SG No: 208₁

Number of alternate origins: 2

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.5000	0.5000	0.5000

F 4 3 2

SG No: 209

Number of alternate origins: 2

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.5000	0.5000	0.5000

F 4₁ 3 2

SG No: 210₁

Number of alternate origins: 2

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.5000	0.5000	0.5000

I 4 3 2

SG No: 211

Number of alternate origins: 2

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.5000	0.5000	0.5000

P 4₃ 3 2

SG No: 212₁

Number of alternate origins: 2

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.5000	0.5000	0.5000

P 4₁ 3 2

SG No: 213₁

Number of alternate origins: 2

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.5000	0.5000	0.5000

I 4₁ 3 2

SG No: 214₁

Number of alternate origins: 2

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.5000	0.5000	0.5000

P -4 3 m

SG No: 215

Number of alternate origins: 2

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.5000	0.5000	0.5000

F -4 3 m

SG No: 216

Number of alternate origins: 2

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.5000	0.5000	0.5000

I -4 3 m

SG No: 217

Number of alternate origins: 2

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.5000	0.5000	0.5000

P -4 3 n

SG No: 218

Number of alternate origins: 2

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.5000	0.5000	0.5000

F -4 3 c

SG No: 219

Number of alternate origins: 2

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.5000	0.5000	0.5000

I -4 3 d

SG No: 220

Number of alternate origins: 2

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.5000	0.5000	0.5000

P m -3 m

SG No: 221 (full HM symbol: P 4/m -3 2/m)

Number of alternate origins: 2

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.5000	0.5000	0.5000

P n -3 n

SG No: 222 (full HM symbol: P 4/n -3 2/n)

Number of alternate origins: 2

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.5000	0.5000	0.5000

P m -3 n₁

SG No: 223 (full HM symbol: P 4₂/m -3 2/n)

Number of alternate origins: 2

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.5000	0.5000	0.5000

P n -3 m₁

SG No: 224 (full HM symbol: P 4₂/n -3 2/m)

Number of alternate origins: 2

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.5000	0.5000	0.5000

F m -3 m

SG No: 225 (full HM symbol: F 4/m -3 2/m)

Number of alternate origins: 2

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.5000	0.5000	0.5000

F m -3 c

SG No: 226 (full HM symbol: F 4/m -3 2/c)

Number of alternate origins: 2

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.5000	0.5000	0.5000

F d -3 m₁

SG No: 227 (full HM symbol: F 4₁/d -3 2/m)

Number of alternate origins: 2

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.5000	0.5000	0.5000

F d -3 c₁

SG No: 228 (full HM symbol: F 4₁/d -3 2/c)

Number of alternate origins: 2

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.5000	0.5000	0.5000

I m -3 m

SG No: 229 (full HM symbol: I 4/m -3 2/m)

Number of alternate origins: 2

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.5000	0.5000	0.5000

I a -3 d₁

SG No: 230 (full HM symbol: I 4₁/a -3 2/d)

Number of alternate origins: 2

Norigin	Xo	Yo	Zo
1	0.0000	0.0000	0.0000
2	0.5000	0.5000	0.5000