Bilbao Crystallographic Server
 Table of Wyckoff Sets
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Table of Wyckoff Sets
| ITA | HM Symbol | Wyckoff Sets |
|---|---|---|
| 1 | P1 | (a) |
| 2 | P-1 | (abcdefgh)(i) |
| 3 | P2 | (abcd)(e) |
| 4 | P21 | (a) |
| 5 | C2 | (ab)(c) |
| 6 | Pm | (ab)(c) |
| 7 | Pc | (a) |
| 8 | Cm | (a)(b) |
| 9 | Cc | (a) |
| 10 | P2/m | (abcdefgh)(ijkl)(mn)(o) |
| 11 | P21/m | (abcd)(e)(f) |
| 12 | C2/m | (abcd)(ef)(gh)(i)(j) |
| 13 | P2/c | (abcd)(ef)(g) |
| 14 | P21/c | (abcd)(e) |
| 15 | C2/c | (abcd)(e)(f) |
| 16 | P222 | (abcdefgh)(ijklmnopqrst)(u) |
| 17 | P2221 | (abcd)(e) |
| 18 | P21212 | (ab)(c) |
| 19 | P212121 | (a) |
| 20 | C2221 | (ab)(c) |
| 21 | C222 | (abcd)(efgh)(ij)(k)(l) |
| 22 | F222 | (abcd)(efghij)(k) |
| 23 | I222 | (abcd)(efghij)(k) |
| 24 | I212121 | (abc)(d) |
| 25 | Pmm2 | (abcd)(efgh)(i) |
| 26 | Pmc21 | (ab)(c) |
| 27 | Pcc2 | (abcd)(e) |
| 28 | Pma2 | (ab)(c)(d) |
| 29 | Pca21 | (a) |
| 30 | Pnc2 | (ab)(c) |
| 31 | Pmn21 | (a)(b) |
| 32 | Pba2 | (ab)(c) |
| 33 | Pna21 | (a) |
| 34 | Pnn2 | (ab)(c) |
| 35 | Cmm2 | (ab)(c)(de)(f) |
| 36 | Cmc21 | (a)(b) |
| 37 | Ccc2 | (ab)(c)(d) |
| 38 | Amm2 | (ab)(c)(de)(f) |
| 39 | Abm2 | (ab)(c)(d) |
| 40 | Ama2 | (a)(b)(c) |
| 41 | Aba2 | (a)(b) |
| 42 | Fmm2 | (a)(b)(cd)(e) |
| 43 | Fdd2 | (a)(b) |
| 44 | Imm2 | (ab)(cd)(e) |
| 45 | Iba2 | (ab)(c) |
| 46 | Ima2 | (a)(b)(c) |
| 47 | Pmmm | (abcdefgh)(ijklmnopqrst)(uvwxyz)(A) |
| 48 | Pnnn | (abcd)(ef)(ghijkl)(m) |
| 49 | Pccm | (abcd)(efgh)(ijkl)(mnop)(q)(r) |
| 50 | Pban | (abcd)(ef)(ghij)(kl)(m) |
| 51 | Pmma | (abcd)(ef)(gh)(ij)(k)(l) |
| 52 | Pnna | (ab)(c)(d)(e) |
| 53 | Pmna | (abcd)(ef)(g)(h)(i) |
| 54 | Pcca | (ab)(c)(de)(f) |
| 55 | Pbam | (abcd)(ef)(gh)(i) |
| 56 | Pccn | (ab)(cd)(e) |
| 57 | Pbcm | (ab)(c)(d)(e) |
| 58 | Pnnm | (abcd)(ef)(g)(h) |
| 59 | Pmmn | (ab)(cd)(ef)(g) |
| 60 | Pbcn | (ab)(c)(d) |
| 61 | Pbca | (ab)(c) |
| 62 | Pnma | (ab)(c)(d) |
| 63 | Cmcm | (ab)(c)(d)(e)(f)(g)(h) |
| 64 | Cmca | (ab)(c)(d)(e)(f)(g) |
| 65 | Cmmm | (abcd)(ef)(ghij)(kl)(m)(no)(pq)(r) |
| 66 | Cccm | (ab)(cd)(ef)(gh)(ij)(k)(l)(m) |
| 67 | Cmma | (ab)(cdef)(g)(hijk)(l)(mn)(o) |
| 68 | Ccca | (ab)(cd)(ef)(g)(h)(i) |
| 69 | Fmmm | (ab)(cde)(f)(ghi)(jkl)(mno)(p) |
| 70 | Fddd | (ab)(cd)(efg)(h) |
| 71 | Immm | (abcd)(efghij)(k)(lmn)(o) |
| 72 | Ibam | (ab)(cd)(e)(fg)(hi)(j)(k) |
| 73 | Ibca | (ab)(cde)(f) |
| 74 | Imma | (abcd)(e)(fg)(hi)(j) |
| 75 | P4 | (ab)(c)(d) |
| 76 | P41 | (a) |
| 77 | P42 | (ab)(c)(d) |
| 78 | P43 | (a) |
| 79 | I4 | (a)(b)(c) |
| 80 | I41 | (a)(b) |
| 81 | P-4 | (abcd)(ef)(g)(h) |
| 82 | I-4 | (abcd)(ef)(g) |
| 83 | P4/m | (abcd)(ef)(gh)(i)(jk)(l) |
| 84 | P42/m | (ab)(cd)(ef)(gh)(i)(j)(k) |
| 85 | P4/n | (ab)(c)(de)(f)(g) |
| 86 | P42/n | (ab)(cd)(e)(f)(g) |
| 87 | I4/m | (ab)(c)(d)(e)(f)(g)(h)(i) |
| 88 | I41/a | (ab)(cd)(e)(f) |
| 89 | P422 | (abcd)(ef)(gh)(i)(jk)(lmno)(p) |
| 90 | P4212 | (ab)(c)(d)(ef)(g) |
| 91 | P4122 | (ab)(c)(d) |
| 92 | P41212 | (a)(b) |
| 93 | P4222 | (ab)(cd)(ef)(gh)(i)(jklm)(no)(p) |
| 94 | P42212 | (ab)(c)(d)(ef)(g) |
| 95 | P4322 | (ab)(c)(d) |
| 96 | P43212 | (a)(b) |
| 97 | I422 | (ab)(c)(d)(e)(f)(g)(hi)(j)(k) |
| 98 | I4122 | (ab)(c)(de)(f)(g) |
| 99 | P4mm | (ab)(c)(d)(ef)(g) |
| 100 | P4bm | (a)(b)(c)(d) |
| 101 | P42cm | (ab)(c)(d)(e) |
| 102 | P42nm | (a)(b)(c)(d) |
| 103 | P4cc | (ab)(c)(d) |
| 104 | P4nc | (a)(b)(c) |
| 105 | P42mc | (ab)(c)(de)(f) |
| 106 | P42bc | (a)(b)(c) |
| 107 | I4mm | (a)(b)(c)(d)(e) |
| 108 | I4cm | (a)(b)(c)(d) |
| 109 | I41md | (a)(b)(c) |
| 110 | I41cd | (a)(b) |
| 111 | P-42m | (abcd)(ef)(gh)(ijkl)(m)(n)(o) |
| 112 | P-42c | (ac)(ef)(bd)(ghij)(kl)(m)(n) |
| 113 | P-421m | (ab)(c)(d)(e)(f) |
| 114 | P-421c | (ab)(c)(d)(e) |
| 115 | P-4m2 | (abcd)(ef)(g)(hi)(jk)(l) |
| 116 | P-4c2 | (ab)(cd)(ef)(gh)(i)(j) |
| 117 | P-4b2 | (ab)(cd)(e)(f)(gh)(i) |
| 118 | P-4n2 | (ab)(cd)(e)(fg)(h)(i) |
| 119 | I-4m2 | (abcd)(ef)(gh)(i)(j) |
| 120 | I-4c2 | (ad)(bc)(eh)(fg)(i) |
| 121 | I-42m | (ab)(c)(d)(e)(fg)(h)(i)(j) |
| 122 | I-42d | (ab)(c)(d)(e) |
| 123 | P4/mmm | (abcd)(ef)(gh)(i)(jk)(lmno)(pq)(r)(st)(u) |
| 124 | P4/mcc | (ac)(bd)(e)(f)(gh)(i)(j)(kl)(m)(n) |
| 125 | P4/nbm | (ab)(cd)(ef)(g)(h)(ij)(kl)(m)(n) |
| 126 | P4/nnc | (ab)(c)(d)(e)(f)(g)(h)(ij)(k) |
| 127 | P4/mbm | (ab)(cd)(e)(f)(gh)(ij)(k)(l) |
| 128 | P4/mnc | (ab)(c)(d)(e)(f)(g)(h)(i) |
| 129 | P4/nmm | (ab)(c)(de)(f)(gh)(i)(j)(k) |
| 130 | P4/ncc | (a)(b)(c)(d)(e)(f)(g) |
| 131 | P42/mmc | (ab)(cd)(ef)(gh)(i)(jklm)(n)(op)(q)(r) |
| 132 | P42/mcm | (ac)(bd)(e)(f)(gh)(k)(ij)(lm)(n)(o)(p) |
| 133 | P42/nbc | (a)(b)(c)(d)(e)(f)(g)(hi)(j)(k) |
| 134 | P42/nnm | (ab)(c)(d)(ef)(g)(h)(ij)(kl)(m)(n) |
| 135 | P42/mbc | (a)(b)(c)(d)(e)(f)(g)(h)(i) |
| 136 | P42/mnm | (ab)(c)(d)(e)(fg)(h)(i)(j)(k) |
| 137 | P42/nmc | (ab)(c)(d)(e)(f)(g)(h) |
| 138 | P42/ncm | (a)(b)(cd)(e)(f)(gh)(i)(j) |
| 139 | I4/mmm | (ab)(c)(d)(e)(f)(g)(h)(ij)(k)(l)(m)(n)(o) |
| 140 | I4/mcm | (a)(b)(c)(d)(e)(f)(g)(h)(i)(j)(k)(l)(m) |
| 141 | I41/amd | (ab)(cd)(e)(f)(g)(h)(i) |
| 142 | I41/acd | (a)(b)(c)(d)(e)(f)(g) |
| 143 | P3 | (abc)(d) |
| 144 | P31 | (a) |
| 145 | P32 | (a) |
| 146 | R3 | (a)(b) |
| 147 | P-3 | (ab)(c)(d)(ef)(g) |
| 148 | R-3 | (ab)(c)(de)(f) |
| 149 | P312 | (abcdef)(ghi)(jk)(l) |
| 150 | P321 | (ab)(c)(d)(ef)(g) |
| 151 | P3112 | (ab)(c) |
| 152 | P3121 | (ab)(c) |
| 153 | P3212 | (ab)(c) |
| 154 | P3221 | (ab)(c) |
| 155 | R32 | (ab)(c)(de)(f) |
| 156 | P3m1 | (abc)(d)(e) |
| 157 | P31m | (a)(b)(c)(d) |
| 158 | P3c1 | (abc)(d) |
| 159 | P31c | (a)(b)(c) |
| 160 | R3m | (a)(b)(c) |
| 161 | R3c | (a)(b) |
| 162 | P-31m | (ab)(cd)(e)(fg)(h)(ij)(k)(l) |
| 163 | P-31c | (a)(b)(cd)(e)(f)(g)(h)(i) |
| 164 | P-3m1 | (ab)(c)(d)(ef)(gh)(i)(j) |
| 165 | P-3c1 | (a)(b)(c)(d)(e)(f)(g) |
| 166 | R-3m | (ab)(c)(de)(fg)(h)(i) |
| 167 | R-3c | (a)(b)(c)(d)(e)(f) |
| 168 | P6 | (a)(b)(c)(d) |
| 169 | P61 | (a) |
| 170 | P65 | (a) |
| 171 | P62 | (a)(b)(c) |
| 172 | P64 | (a)(b)(c) |
| 173 | P63 | (a)(b)(c) |
| 174 | P-6 | (abcdef)(ghi)(jk)(l) |
| 175 | P6/m | (ab)(cd)(e)(fg)(h)(i)(jk)(l) |
| 176 | P63/m | (a)(b)(cd)(e)(f)(g)(h)(i) |
| 177 | P622 | (ab)(cd)(e)(fg)(h)(i)(jk)(lm)(n) |
| 178 | P6122 | (a)(b)(c) |
| 179 | P6522 | (a)(b)(c) |
| 180 | P6222 | (ab)(cd)(e)(f)(gh)(ij)(k) |
| 181 | P6422 | (ab)(cd)(e)(f)(gh)(ij)(k) |
| 182 | P6322 | (a)(b)(cd)(e)(f)(g)(h)(i) |
| 183 | P6mm | (a)(b)(c)(d)(e)(f) |
| 184 | P6cc | (a)(b)(c)(d) |
| 185 | P63cm | (a)(b)(c)(d) |
| 186 | P63mc | (a)(b)(c)(d) |
| 187 | P-6m2 | (abcdef)(ghi)(jk)(lm)(n)(o) |
| 188 | P-6c2 | (ace)(bdf)(ghi)(j)(k)(l) |
| 189 | P-62m | (ab)(cd)(e)(fg)(h)(i)(jk)(l) |
| 190 | P-62c | (a)(b)(cd)(e)(f)(g)(h)(i) |
| 191 | P6/mmm | (ab)(cd)(e)(fg)(h)(i)(jk)(lm)(n)(o)(pq)(r) |
| 192 | P6/mcc | (a)(b)(c)(d)(e)(f)(g)(h)(i)(j)(k)(l)(m) |
| 193 | P63/mcm | (a)(b)(c)(d)(e)(f)(g)(h)(i)(j)(k)(l) |
| 194 | P63/mmc | (a)(b)(cd)(e)(f)(g)(h)(i)(j)(k)(l) |
| 195 | P23 | (ab)(cd)(e)(fi)(gh)(j) |
| 196 | F23 | (abcd)(e)(fg)(h) |
| 197 | I23 | (a)(b)(c)(d)(e)(f) |
| 198 | P213 | (a)(b) |
| 199 | I213 | (a)(b)(c) |
| 200 | Pm-3 | (ab)(cd)(eh)(fg)(i)(jk)(l) |
| 201 | Pn-3 | (a)(bc)(d)(e)(f)(g)(h) |
| 202 | Fm-3 | (ab)(c)(d)(e)(f)(g)(h)(i) |
| 203 | Fd-3 | (ab)(cd)(e)(f)(g) |
| 204 | Im-3 | (a)(b)(c)(d)(e)(f)(g)(h) |
| 205 | Pa-3 | (ab)(c)(d) |
| 206 | Ia-3 | (ab)(c)(d)(e) |
| 207 | P432 | (ab)(cd)(ef)(g)(h)(ij)(k) |
| 208 | P4232 | (a)(bc)(d)(ef)(g)(h)(ij)(kl)(m) |
| 209 | F432 | (ab)(c)(d)(e)(f)(gh)(i)(j) |
| 210 | F4132 | (ab)(cd)(e)(f)(g)(h) |
| 211 | I432 | (a)(b)(c)(d)(e)(f)(g)(h)(i)(j) |
| 212 | P4332 | (ab)(c)(d)(e) |
| 213 | P4132 | (ab)(c)(d)(e) |
| 214 | I4132 | (ab)(cd)(e)(f)(gh)(i) |
| 215 | P-43m | (ab)(cd)(e)(fg)(h)(i)(j) |
| 216 | F-43m | (abcd)(e)(fg)(h)(i) |
| 217 | I-43m | (a)(b)(c)(d)(e)(f)(g)(h) |
| 218 | P-43n | (a)(b)(cd)(e)(f)(gh)(i) |
| 219 | F-43c | (ab)(cd)(e)(fg)(h) |
| 220 | I-43d | (ab)(c)(d)(e) |
| 221 | Pm-3m | (ab)(cd)(ef)(g)(h)(ij)(kl)(m)(n) |
| 222 | Pn-3n | (a)(b)(c)(d)(e)(f)(g)(h)(i) |
| 223 | Pm-3n | (a)(b)(cd)(e)(f)(gh)(i)(j)(k)(l) |
| 224 | Pn-3m | (a)(bc)(d)(e)(f)(g)(h)(ij)(k)(l) |
| 225 | Fm-3m | (ab)(c)(d)(e)(f)(g)(hi)(j)(k)(l) |
| 226 | Fm-3c | (a)(b)(c)(d)(e)(f)(g)(h)(i)(j) |
| 227 | Fd-3m | (ab)(cd)(e)(f)(g)(h)(i) |
| 228 | Fd-3c | (a)(b)(c)(d)(e)(f)(g)(h) |
| 229 | Im-3m | (a)(b)(c)(d)(e)(f)(g)(h)(i)(j)(k)(l) |
| 230 | Ia-3d | (a)(b)(c)(d)(e)(f)(g)(h) |
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