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.

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