Item _space_group.reference_setting
Description
The reference setting of a given space group is the setting
chosen by the International Union of Crystallography as a
unique setting to which other settings can be referred
using the transformation matrix column pair given in
*.transform_Pp_abc and *.transform_Qq_xyz.
The settings are given in the enumeration list in the form
'_space_group.it_number:_space_group.name_Hall'. The
space group number defines the space group type and the
Hall symbol specifies the symmetry generators referred to
the reference coordinate system.
The 230 reference settings chosen are identical to the settings
listed in International Tables for Crystallography Vol. A
(1995). For the space groups where more than one setting is
given in International Tables, the following choices have
been made.
For monoclinic space groups: unique axis b and cell choice 1.
For space groups with two origins: origin choice 2 (origin at
inversion center indicated by adding :2 to the Hermann-Mauguin
symbol in the enumeration list).
For rhombohedral space groups: hexagonal axes (indicated by
adding :h to the Hermann-Mauguin symbol in the enumeration list.
(Based on http://xtal.crystal.uwa.edu.au/, (select 'Docs',
select 'space-Group Symbols') Symmetry table of Ralf W.
Grosse-Kunstleve, ETH, Zurich.)
The enumeration list may be extracted from the dictionary
and stored as a separate CIF that can be referred to as
required.
Category
space_group
Mandatory Code
no
Data Type Code
char
Enumeration Values
| Item Value |
Description |
| 001:P 1 |
C1.1 P 1 |
| 002:-P 1 |
Ci.1 P -1 |
| 003:P 2y |
C2.1 P 1 2 1 |
| 004:P 2yb |
C2.2 P 1 21 1 |
| 005:C 2y |
C2.3 C 1 2 1 |
| 006:P -2y |
Cs.1 P 1 m 1 |
| 007:P -2yc |
Cs.2 P 1 c 1 |
| 008:C -2y |
Cs.3 C 1 m 1 |
| 009:C -2yc |
Cs.4 C 1 c 1 |
| 010:-P 2y |
C2h.1 P 1 2/m 1 |
| 011:-P 2yb |
C2h.2 P 1 21/m 1 |
| 012:-C 2y |
C2h.3 C 1 2/m 1 |
| 013:-P 2yc |
C2h.4 P 1 2/c 1 |
| 014:-P 2ybc |
C2h.5 P 1 21/c 1 |
| 015:-C 2yc |
C2h.6 C 1 2/c 1 |
| 016:P 2 2 |
D2.1 P 2 2 2 |
| 017:P 2c 2 |
D2.2 P 2 2 21 |
| 018:P 2 2ab |
D2.3 P 21 21 2 |
| 019:P 2ac 2ab |
D2.4 P 21 21 21 |
| 020:C 2c 2 |
D2.5 C 2 2 21 |
| 021:C 2 2 |
D2.6 C 2 2 2 |
| 022:F 2 2 |
D2.7 F 2 2 2 |
| 023:I 2 2 |
D2.8 I 2 2 2 |
| 024:I 2b 2c |
D2.9 I 21 21 21 |
| 025:P 2 -2 |
C2v.1 P m m 2 |
| 026:P 2c -2 |
C2v.2 P m c 21 |
| 027:P 2 -2c |
C2v.3 P c c 2 |
| 028:P 2 -2a |
C2v.4 P m a 2 |
| 029:P 2c -2ac |
C2v.5 P c a 21 |
| 030:P 2 -2bc |
C2v.6 P n c 2 |
| 031:P 2ac -2 |
C2v.7 P m n 21 |
| 032:P 2 -2ab |
C2v.8 P b a 2 |
| 033:P 2c -2n |
C2v.9 P n a 21 |
| 034:P 2 -2n |
C2v.10 P n n 2 |
| 035:C 2 -2 |
C2v.11 C m m 2 |
| 036:C 2c -2 |
C2v.12 C m c 21 |
| 037:C 2 -2c |
C2v.13 C c c 2 |
| 038:A 2 -2 |
C2v.14 A m m 2 |
| 039:A 2 -2b |
C2v.15 A e m 2 |
| 040:A 2 -2a |
C2v.16 A m a 2 |
| 041:A 2 -2ab |
C2v.17 A e a 2 |
| 042:F 2 -2 |
C2v.18 F m m 2 |
| 043:F 2 -2d |
C2v.19 F d d 2 |
| 044:I 2 -2 |
C2v.20 I m m 2 |
| 045:I 2 -2c |
C2v.21 I b a 2 |
| 046:I 2 -2a |
C2v.22 I m a 2 |
| 047:-P 2 2 |
D2h.1 P m m m |
| 048:-P 2ab 2bc |
D2h.2 P n n n:2 |
| 049:-P 2 2c |
D2h.3 P c c m |
| 050:-P 2ab 2b |
D2h.4 P b a n:2 |
| 051:-P 2a 2a |
D2h.5 P m m a |
| 052:-P 2a 2bc |
D2h.6 P n n a |
| 053:-P 2ac 2 |
D2h.7 P m n a |
| 054:-P 2a 2ac |
D2h.8 P c c a |
| 055:-P 2 2ab |
D2h.9 P b a m |
| 056:-P 2ab 2ac |
D2h.10 P c c n |
| 057:-P 2c 2b |
D2h.11 P b c m |
| 058:-P 2 2n |
D2h.12 P n n m |
| 059:-P 2ab 2a |
D2h.13 P m m n:2 |
| 060:-P 2n 2ab |
D2h.14 P b c n |
| 061:-P 2ac 2ab |
D2h.15 P b c a |
| 062:-P 2ac 2n |
D2h.16 P n m a |
| 063:-C 2c 2 |
D2h.17 C m c m |
| 064:-C 2ac 2 |
D2h.18 C m c e |
| 065:-C 2 2 |
D2h.19 C m m m |
| 066:-C 2 2c |
D2h.20 C c c m |
| 067:-C 2a 2 |
D2h.21 C m m e |
| 068:-C 2a 2ac |
D2h.22 C c c e:2 |
| 069:-F 2 2 |
D2h.23 F m m m |
| 070:-F 2uv 2vw |
D2h.24 F d d d:2 |
| 071:-I 2 2 |
D2h.25 I m m m |
| 072:-I 2 2c |
D2h.26 I b a m |
| 073:-I 2b 2c |
D2h.27 I b c a |
| 074:-I 2b 2 |
D2h.28 I m m a |
| 075:P 4 |
C4.1 P 4 |
| 076:P 4w |
C4.2 P 41 |
| 077:P 4c |
C4.3 P 42 |
| 078:P 4cw |
C4.4 P 43 |
| 079:I 4 |
C4.5 I 4 |
| 080:I 4bw |
C4.6 I 41 |
| 081:P -4 |
S4.1 P -4 |
| 082:I -4 |
S4.2 I -4 |
| 083:-P 4 |
C4h.1 P 4/m |
| 084:-P 4c |
C4h.2 P 42/m |
| 085:-P 4a |
C4h.3 P 4/n:2 |
| 086:-P 4bc |
C4h.4 P 42/n:2 |
| 087:-I 4 |
C4h.5 I 4/m |
| 088:-I 4ad |
C4h.6 I 41/a:2 |
| 089:P 4 2 |
D4.1 P 4 2 2 |
| 090:P 4ab 2ab |
D4.2 P 4 21 2 |
| 091:P 4w 2c |
D4.3 P 41 2 2 |
| 092:P 4abw 2nw |
D4.4 P 41 21 2 |
| 093:P 4c 2 |
D4.5 P 42 2 2 |
| 094:P 4n 2n |
D4.6 P 42 21 2 |
| 095:P 4cw 2c |
D4.7 P 43 2 2 |
| 096:P 4nw 2abw |
D4.8 P 43 21 2 |
| 097:I 4 2 |
D4.9 I 4 2 2 |
| 098:I 4bw 2bw |
D4.10 I 41 2 2 |
| 099:P 4 -2 |
C4v.1 P 4 m m |
| 100:P 4 -2ab |
C4v.2 P 4 b m |
| 101:P 4c -2c |
C4v.3 P 42 c m |
| 102:P 4n -2n |
C4v.4 P 42 n m |
| 103:P 4 -2c |
C4v.5 P 4 c c |
| 104:P 4 -2n |
C4v.6 P 4 n c |
| 105:P 4c -2 |
C4v.7 P 42 m c |
| 106:P 4c -2ab |
C4v.8 P 42 b c |
| 107:I 4 -2 |
C4v.9 I 4 m m |
| 108:I 4 -2c |
C4v.10 I 4 c m |
| 109:I 4bw -2 |
C4v.11 I 41 m d |
| 110:I 4bw -2c |
C4v.12 I 41 c d |
| 111:P -4 2 |
D2d.1 P -4 2 m |
| 112:P -4 2c |
D2d.2 P -4 2 c |
| 113:P -4 2ab |
D2d.3 P -4 21 m |
| 114:P -4 2n |
D2d.4 P -4 21 c |
| 115:P -4 -2 |
D2d.5 P -4 m 2 |
| 116:P -4 -2c |
D2d.6 P -4 c 2 |
| 117:P -4 -2ab |
D2d.7 P -4 b 2 |
| 118:P -4 -2n |
D2d.8 P -4 n 2 |
| 119:I -4 -2 |
D2d.9 I -4 m 2 |
| 120:I -4 -2c |
D2d.10 I -4 c 2 |
| 121:I -4 2 |
D2d.11 I -4 2 m |
| 122:I -4 2bw |
D2d.12 I -4 2 d |
| 123:-P 4 2 |
D4h.1 P 4/m m m |
| 124:-P 4 2c |
D4h.2 P 4/m c c |
| 125:-P 4a 2b |
D4h.3 P 4/n b m:2 |
| 126:-P 4a 2bc |
D4h.4 P 4/n n c:2 |
| 127:-P 4 2ab |
D4h.5 P 4/m b m |
| 128:-P 4 2n |
D4h.6 P 4/m n c |
| 129:-P 4a 2a |
D4h.7 P 4/n m m:2 |
| 130:-P 4a 2ac |
D4h.8 P 4/n c c:2 |
| 131:-P 4c 2 |
D4h.9 P 42/m m c |
| 132:-P 4c 2c |
D4h.10 P 42/m c m |
| 133:-P 4ac 2b |
D4h.11 P 42/n b c:2 |
| 134:-P 4ac 2bc |
D4h.12 P 42/n n m:2 |
| 135:-P 4c 2ab |
D4h.13 P 42/m b c |
| 136:-P 4n 2n |
D4h.14 P 42/m n m |
| 137:-P 4ac 2a |
D4h.15 P 42/n m c:2 |
| 138:-P 4ac 2ac |
D4h.16 P 42/n c m:2 |
| 139:-I 4 2 |
D4h.17 I 4/m m m |
| 140:-I 4 2c |
D4h.18 I 4/m c m |
| 141:-I 4bd 2 |
D4h.19 I 41/a m d:2 |
| 142:-I 4bd 2c |
D4h.20 I 41/a c d:2 |
| 143:P 3 |
C3.1 P 3 |
| 144:P 31 |
C3.2 P 31 |
| 145:P 32 |
C3.3 P 32 |
| 146:R 3 |
C3.4 R 3:h |
| 147:-P 3 |
C3i.1 P -3 |
| 148:-R 3 |
C3i.2 R -3:h |
| 149:P 3 2 |
D3.1 P 3 1 2 |
| 150:P 3 2" |
D3.2 P 3 2 1 |
| 151:P 31 2 (0 0 4) |
D3.3 P 31 1 2 |
| 152:P 31 2" |
D3.4 P 31 2 1 |
| 153:P 32 2 (0 0 2) |
D3.5 P 32 1 2 |
| 154:P 32 2" |
D3.6 P 32 2 1 |
| 155:R 3 2" |
D3.7 R 3 2:h |
| 156:P 3 -2" |
C3v.1 P 3 m 1 |
| 157:P 3 -2 |
C3v.2 P 3 1 m |
| 158:P 3 -2"c |
C3v.3 P 3 c 1 |
| 159:P 3 -2c |
C3v.4 P 3 1 c |
| 160:R 3 -2" |
C3v.5 R 3 m:h |
| 161:R 3 -2"c |
C3v.6 R 3 c:h |
| 162:-P 3 2 |
D3d.1 P -3 1 m |
| 163:-P 3 2c |
D3d.2 P -3 1 c |
| 164:-P 3 2" |
D3d.3 P -3 m 1 |
| 165:-P 3 2"c |
D3d.4 P -3 c 1 |
| 166:-R 3 2" |
D3d.5 R -3 m:h |
| 167:-R 3 2"c |
D3d.6 R -3 c:h |
| 168:P 6 |
C6.1 P 6 |
| 169:P 61 |
C6.2 P 61 |
| 170:P 65 |
C6.3 P 65 |
| 171:P 62 |
C6.4 P 62 |
| 172:P 64 |
C6.5 P 64 |
| 173:P 6c |
C6.6 P 63 |
| 174:P -6 |
C3h.1 P -6 |
| 175:-P 6 |
C6h.1 P 6/m |
| 176:-P 6c |
C6h.2 P 63/m |
| 177:P 6 2 |
D6.1 P 6 2 2 |
| 178:P 61 2 (0 0 5) |
D6.2 P 61 2 2 |
| 179:P 65 2 (0 0 1) |
D6.3 P 65 2 2 |
| 180:P 62 2 (0 0 4) |
D6.4 P 62 2 2 |
| 181:P 64 2 (0 0 2) |
D6.5 P 64 2 2 |
| 182:P 6c 2c |
D6.6 P 63 2 2 |
| 183:P 6 -2 |
C6v.1 P 6 m m |
| 184:P 6 -2c |
C6v.2 P 6 c c |
| 185:P 6c -2 |
C6v.3 P 63 c m |
| 186:P 6c -2c |
C6v.4 P 63 m c |
| 187:P -6 2 |
D3h.1 P -6 m 2 |
| 188:P -6c 2 |
D3h.2 P -6 c 2 |
| 189:P -6 -2 |
D3h.3 P -6 2 m |
| 190:P -6c -2c |
D3h.4 P -6 2 c |
| 191:-P 6 2 |
D6h.1 P 6/m m m |
| 192:-P 6 2c |
D6h.2 P 6/m c c |
| 193:-P 6c 2 |
D6h.3 P 63/m c m |
| 194:-P 6c 2c |
D6h.4 P 63/m m c |
| 195:P 2 2 3 |
T.1 P 2 3 |
| 196:F 2 2 3 |
T.2 F 2 3 |
| 197:I 2 2 3 |
T.3 I 2 3 |
| 198:P 2ac 2ab 3 |
T.4 P 21 3 |
| 199:I 2b 2c 3 |
T.5 I 21 3 |
| 200:-P 2 2 3 |
Th.1 P m -3 |
| 201:-P 2ab 2bc 3 |
Th.2 P n -3:2 |
| 202:-F 2 2 3 |
Th.3 F m -3 |
| 203:-F 2uv 2vw 3 |
Th.4 F d -3:2 |
| 204:-I 2 2 3 |
Th.5 I m -3 |
| 205:-P 2ac 2ab 3 |
Th.6 P a -3 |
| 206:-I 2b 2c 3 |
Th.7 I a -3 |
| 207:P 4 2 3 |
O.1 P 4 3 2 |
| 208:P 4n 2 3 |
O.2 P 42 3 2 |
| 209:F 4 2 3 |
O.3 F 4 3 2 |
| 210:F 4d 2 3 |
O.4 F 41 3 2 |
| 211:I 4 2 3 |
O.5 I 4 3 2 |
| 212:P 4acd 2ab 3 |
O.6 P 43 3 2 |
| 213:P 4bd 2ab 3 |
O.7 P 41 3 2 |
| 214:I 4bd 2c 3 |
O.8 I 41 3 2 |
| 215:P -4 2 3 |
Td.1 P -4 3 m |
| 216:F -4 2 3 |
Td.2 F -4 3 m |
| 217:I -4 2 3 |
Td.3 I -4 3 m |
| 218:P -4n 2 3 |
Td.4 P -4 3 n |
| 219:F -4a 2 3 |
Td.5 F -4 3 c |
| 220:I -4bd 2c 3 |
Td.6 I -4 3 d |
| 221:-P 4 2 3 |
Oh.1 P m -3 m |
| 222:-P 4a 2bc 3 |
Oh.2 P n -3 n:2 |
| 223:-P 4n 2 3 |
Oh.3 P m -3 n |
| 224:-P 4bc 2bc 3 |
Oh.4 P n -3 m:2 |
| 225:-F 4 2 3 |
Oh.5 F m -3 m |
| 226:-F 4a 2 3 |
Oh.6 F m -3 c |
| 227:-F 4vw 2vw 3 |
Oh.7 F d -3 m:2 |
| 228:-F 4ud 2vw 3 |
Oh.8 F d -3 c:2 |
| 229:-I 4 2 3 |
Oh.9 I m -3 m |
| 230:-I 4bd 2c 3 |
Oh.10 I a -3 d |