MOF++

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Net topology

ucx

Ingested production record from rcsr. Per-field provenance in field_sources. No geometry: the RCSR archive carries none.

JSON · mfpx

312 vertices and 624 edges in the unit cell. 36 of them leave the cell and continue into a neighbouring one; those are drawn in the accent colour and end at a hollow node. Squares are vertices of coordination 5 or more, circles of 4 or fewer. Drag to rotate, or focus the figure and use the arrow keys.
Computed drawing, not a deposit. This geometry is computed, not deposited. No contributor has uploaded a structure for this net: it came from the RCSR Systre archive, which carries a canonical key and no coordinates at all. What is drawn here is the net's maximum-symmetry embedding, computed from that key by Systre 19.6.0 and read into a cell, coordinates and edges by mofpp.embedding v1. Every edge is the same length and the cell is the ideal cell of the net's own symmetry group, scaled so that the mean edge is 1: it is a drawing of the net, an abstract periodic graph, and not a measurement of any material. The lengths in angstrom of a real framework built on this topology are not stated here and are not implied by it.

Crystallographic description

Spacegroup
Pm-3 (No. 200)
Cell lengths
a = 9.4748, b = 9.4748, c = 9.4748
Cell angles
α = 90.00°, β = 90.00°, γ = 90.00°
This geometry is computed, not deposited. No contributor has uploaded a structure for this net: it came from the RCSR Systre archive, which carries a canonical key and no coordinates at all. What is drawn here is the net's maximum-symmetry embedding, computed from that key by Systre 19.6.0 and read into a cell, coordinates and edges by mofpp.embedding v1. Every edge is the same length and the cell is the ideal cell of the net's own symmetry group, scaled so that the mean edge is 1: it is a drawing of the net, an abstract periodic graph, and not a measurement of any material. The lengths in angstrom of a real framework built on this topology are not stated here and are not implied by it.
Vertices in cell
312
Transitivity pqrs
13, 31, *, *
Catenated
no
No, computed from the graph of the net itself rather than read off its name: mofpp.periodicity v1 finds a single copy, so it is not interpenetrated on the RCSR archive key, the canonical key the archive states. Interpenetration is counted here as the number of separate copies of the net that share one repeat unit, so this is a measurement of the topology and not a marker in a string.

Canonical key

Systre key
3 1 2 0 0 0 1 3 0 0 0 1 4 0 0 0 1 5 0 0 0 2 6 0 0 0 2 7 0 0 0 2 8 0 0 0 3 6 0 0 0 3 9 0 0 0 3 10 0 0 0 4 7 0 0 0 4 9 0 0 0 4 11 0 0 0 5 8 0 0 0 5 12 0 0 0 5 13 0 0 0 6 14 0 0 0 6 15 0 0 0 7 15 0 0 0 7 16 0 0 0 8 17 0 0 0 8 18 0 0 0 9 15 0 0 0 9 19 0 0 0 10 19 0 0 0 10 20 0 0 0 10 21 0 0 0 11 16 0 0 0 11 22 0 0 0 11 23 0 0 0 12 17 0 0 0 12 22 0 0 0 12 24 0 0 0 13 18 0 0 0 13 24 0 0 0 13 25 0 0 0 14 26 0 0 0 14 27 0 0 0 14 28 0 0 0 15 27 0 0 0 16 29 0 0 0 16 30 0 0 0 17 30 0 0 0 17 31 0 0 0 18 31 0 0 0 18 32 0 0 0 19 33 0 0 0 19 34 0 0 0 20 28 0 0 0 20 33 0 0 0 20 35 0 0 0 21 34 0 0 0 21 35 0 0 0 21 36 0 0 0 22 30 0 0 0 22 37 0 0 0 23 29 0 0 0 23 37 0 0 0 23 38 0 0 0 24 31 0 0 0 24 39 0 0 0 25 32 0 0 0 25 40 0 0 0 25 41 0 0 0 26 42 0 0 0 26 43 0 0 0 26 44 0 0 0 27 43 0 0 0 27 45 0 0 0 28 44 0 0 0 28 45 0 0 0 29 46 0 0 0 29 47 0 0 0 30 47 0 0 0 31 48 0 0 0 32 49 0 0 0 32 50 0 0 0 33 45 0 0 0 33 51 0 0 0 34 51 0 0 0 34 52 0 0 0 35 51 0 0 0 35 53 0 0 0 36 53 0 0 0 36 54 0 0 0 36 55 0 0 0 37 47 0 0 0 37 56 0 0 0 38 56 0 0 0 38 57 0 0 0 38 58 0 0 0 39 48 0 0 0 39 59 0 0 0 39 60 0 0 0 40 50 0 0 0 40 59 0 0 0 40 61 0 0 0 41 49 0 0 0 41 61 0 0 0 41 62 0 0 0 42 63 0 0 0 42 64 0 0 0 42 65 0 0 0 43 66 0 0 0 43 67 0 0 0 44 65 0 0 0 44 67 0 0 0 45 67 0 0 0 46 68 0 0 0 46 69 0 0 0 46 70 0 0 0 47 69 0 0 0 48 71 0 0 0 48 72 0 0 0 49 73 0 0 0 49 74 0 0 0 50 71 0 0 0 50 74 0 0 0 51 75 0 0 0 52 75 0 0 0 52 76 0 0 0 52 77 0 0 0 53 78 0 0 0 53 79 0 0 0 54 76 0 0 0 54 79 0 0 0 54 80 0 0 0 55 78 0 0 0 55 80 0 0 0 55 81 0 0 0 56 82 0 0 0 56 83 0 0 0 57 70 0 0 0 57 82 0 0 0 57 84 0 0 0 58 83 0 0 0 58 84 0 0 0 58 85 0 0 0 59 71 0 0 0 59 86 0 0 0 60 72 0 0 0 60 86 0 0 0 60 87 0 0 0 61 74 0 0 0 61 88 0 0 0 62 88 0 0 0 62 89 0 0 0 62 90 0 0 0 63 91 0 0 0 63 92 0 0 0 63 93 0 0 0 64 92 0 0 0 64 94 0 0 0 64 95 0 0 0 65 93 0 0 0 65 95 0 0 0 66 94 0 0 0 66 96 0 0 0 66 97 0 0 0 67 97 0 0 0 68 98 0 0 0 68 99 0 0 0 68 100 0 0 0 69 100 0 0 0 69 101 0 0 0 70 99 0 0 0 70 101 0 0 0 71 102 0 0 0 72 102 0 0 0 72 103 0 0 0 73 104 0 0 0 73 105 0 0 0 73 106 0 0 0 74 105 0 0 0 75 107 0 0 0 75 108 0 0 0 76 107 0 0 0 76 109 0 0 0 77 108 0 0 0 77 109 0 0 0 77 110 0 0 0 78 111 0 0 0 78 112 0 0 0 79 107 0 0 0 79 112 0 0 0 80 112 0 0 0 80 113 0 0 0 81 113 0 0 0 81 114 0 0 0 81 115 0 0 0 82 101 0 0 0 82 116 0 0 0 83 116 0 0 0 83 117 0 0 0 84 116 0 0 0 84 118 0 0 0 85 118 0 0 0 85 119 0 0 0 85 120 0 0 0 86 102 0 0 0 86 121 0 0 0 87 121 0 0 0 87 122 0 0 0 87 123 0 0 0 88 124 0 0 0 88 125 0 0 0 89 106 0 0 0 89 124 0 0 0 89 126 0 0 0 90 125 0 0 0 90 126 0 0 0 90 127 0 0 0 91 128 0 0 0 91 129 0 0 0 91 130 0 0 0 92 129 0 0 0 92 131 0 0 0 93 131 0 0 0 93 132 0 0 0 94 133 0 0 0 94 134 0 0 0 95 131 0 0 0 95 134 0 0 0 96 133 0 0 0 96 135 0 0 0 96 136 0 0 0 97 134 0 0 0 97 136 0 0 0 98 137 0 0 0 98 138 0 0 0 98 139 0 0 0 99 139 0 0 0 99 140 0 0 0 100 140 0 0 0 100 141 0 0 0 101 140 0 0 0 102 142 0 0 0 103 142 0 0 0 103 143 0 0 0 103 144 0 0 0 104 145 0 0 0 104 146 0 0 0 104 147 0 0 0 105 146 0 0 0 105 148 0 0 0 106 147 0 0 0 106 148 0 0 0 107 149 0 0 0 108 149 0 0 0 108 150 0 0 0 109 149 0 0 0 109 151 0 0 0 110 151 0 0 0 110 152 0 0 0 110 153 0 0 0 111 154 0 0 0 111 155 0 0 0 111 156 0 0 0 112 155 0 0 0 113 157 0 0 0 113 158 0 0 0 114 156 0 0 0 114 157 0 0 0 114 159 0 0 0 115 158 0 0 0 115 159 0 0 0 115 160 0 0 0 116 154 1 0 0 117 154 1 0 0 117 156 1 0 0 117 161 0 0 0 118 162 0 0 0 118 163 0 0 0 119 161 0 0 0 119 162 0 0 0 119 164 0 0 0 120 163 0 0 0 120 164 0 0 0 120 165 0 0 0 121 166 0 0 0 121 167 0 0 0 122 144 0 0 0 122 166 0 0 0 122 168 0 0 0 123 167 0 0 0 123 168 0 0 0 123 169 0 0 0 124 148 0 0 0 124 170 0 0 0 125 170 0 0 0 125 171 0 0 0 126 170 0 0 0 126 172 0 0 0 127 172 0 0 0 127 173 0 0 0 127 174 0 0 0 128 175 0 0 0 128 176 0 0 0 128 177 0 0 0 129 175 0 0 0 129 178 0 0 0 130 176 0 0 0 130 178 0 0 0 130 179 0 0 0 131 180 0 0 0 132 179 0 0 0 132 180 0 0 0 132 181 0 0 0 133 182 0 0 0 133 183 0 0 0 134 183 0 0 0 135 182 0 0 0 135 184 0 0 0 135 185 0 0 0 136 183 0 0 0 136 186 0 0 0 137 187 0 0 0 137 188 0 0 0 137 189 0 0 0 138 188 0 0 0 138 190 0 0 0 138 191 0 0 0 139 189 0 0 0 139 190 0 0 0 140 181 1 0 0 141 179 1 0 0 141 181 1 0 0 141 191 0 0 0 142 192 0 0 0 142 193 0 0 0 143 192 0 0 0 143 194 0 0 0 143 195 0 0 0 144 193 0 0 0 144 195 0 0 0 145 196 0 0 0 145 197 0 0 0 145 198 0 0 0 146 199 0 0 0 146 200 0 0 0 147 198 0 0 0 147 200 0 0 0 148 200 0 0 0 149 201 0 0 0 150 201 0 0 0 150 202 0 0 0 150 203 0 0 0 151 204 0 0 0 151 205 0 0 0 152 203 0 0 0 152 204 0 0 0 152 206 0 0 0 153 205 0 0 0 153 206 0 0 0 153 207 0 0 0 154 208 0 0 0 155 208 0 0 0 155 209 0 0 0 156 209 0 0 0 157 209 0 0 0 157 210 0 0 0 158 210 0 0 0 158 211 0 0 0 159 210 0 0 0 159 212 0 0 0 160 212 0 0 0 160 213 0 0 0 160 214 0 0 0 161 208 1 0 0 161 209 1 0 0 162 208 1 0 0 162 215 0 0 0 163 215 0 0 0 163 216 0 0 0 164 215 0 0 0 164 217 0 0 0 165 217 0 0 0 165 218 0 0 0 165 219 0 0 0 166 193 0 0 0 166 220 0 0 0 167 220 0 0 0 167 221 0 0 0 168 220 0 0 0 168 222 0 0 0 169 222 0 0 0 169 223 0 0 0 169 224 0 0 0 170 202 0 1 0 171 202 0 1 0 171 203 0 1 0 171 225 0 0 0 172 226 0 0 0 172 227 0 0 0 173 225 0 0 0 173 227 0 0 0 173 228 0 0 0 174 213 0 0 0 174 226 0 0 0 174 228 0 0 0 175 229 0 0 0 175 230 0 0 0 176 230 0 0 0 176 231 0 0 0 177 231 0 0 0 177 232 0 0 0 177 233 0 0 0 178 230 0 0 0 178 234 0 0 0 179 234 0 0 0 180 234 0 0 0 180 235 0 0 0 181 235 0 0 0 182 236 0 0 0 182 237 0 0 0 183 238 0 0 0 184 236 0 0 0 184 239 0 0 0 184 240 0 0 0 185 237 0 0 0 185 240 0 0 0 185 241 0 0 0 186 238 0 0 0 186 241 0 0 0 186 242 0 0 0 187 243 0 0 0 187 244 0 0 0 187 245 0 0 0 188 244 0 0 0 188 246 0 0 0 189 246 0 0 0 189 247 0 0 0 190 235 1 0 0 190 246 0 0 0 191 234 1 0 0 191 235 1 0 0 192 248 0 0 0 192 249 0 0 0 193 249 0 0 0 194 250 0 0 0 194 251 0 0 0 194 252 0 0 0 195 249 0 0 0 195 252 0 0 0 196 233 0 0 0 196 253 0 0 0 196 254 0 0 0 197 253 0 0 0 197 255 0 0 0 197 256 0 0 0 198 254 0 0 0 198 256 0 0 0 199 241 0 1 0 199 242 0 1 0 199 255 0 0 0 200 242 0 1 0 201 257 0 0 0 201 258 0 0 0 202 257 0 0 0 203 258 0 0 0 204 258 0 0 0 204 259 0 0 0 205 236 0 0 1 205 259 0 0 0 206 259 0 0 0 206 260 0 0 0 207 239 0 0 1 207 260 0 0 0 207 261 0 0 0 210 262 0 0 0 211 229 0 0 1 211 262 0 0 0 211 263 0 0 0 212 264 0 0 0 212 265 0 0 0 213 264 0 0 0 213 266 0 0 0 214 263 0 0 0 214 265 0 0 0 214 266 0 0 0 215 267 0 0 0 216 267 0 0 0 216 268 0 0 0 216 269 0 0 0 217 270 0 0 0 217 271 0 0 0 218 269 0 0 0 218 270 0 0 0 218 272 0 0 0 219 261 0 0 0 219 271 0 0 0 219 272 0 0 0 220 268 0 1 0 221 268 0 1 0 221 269 0 1 0 221 273 0 0 0 222 274 0 0 0 222 275 0 0 0 223 273 0 0 0 223 274 0 0 0 223 276 0 0 0 224 264 1 0 0 224 275 0 0 0 224 276 0 0 0 225 257 0 1 0 225 258 0 1 0 226 275 -1 0 0 226 277 0 0 0 227 257 0 1 0 227 277 0 0 0 228 266 0 0 0 228 277 0 0 0 229 278 0 0 0 229 279 0 0 0 230 278 0 0 0 231 280 0 0 0 231 281 0 0 0 232 279 0 0 0 232 280 0 0 0 232 282 0 0 0 233 281 0 0 0 233 282 0 0 0 236 283 0 0 0 237 283 0 0 0 237 284 0 0 0 238 284 0 0 0 238 285 0 0 0 239 286 0 0 0 239 287 0 0 0 240 283 0 0 0 240 286 0 0 0 241 284 0 0 0 242 285 0 0 0 243 287 0 0 0 243 288 0 0 0 243 289 0 0 0 244 288 0 0 0 244 290 0 0 0 245 289 0 0 0 245 290 0 0 0 245 291 0 0 0 246 292 0 0 0 247 291 0 0 0 247 292 0 0 0 247 293 0 0 0 248 291 0 1 0 248 293 0 1 0 248 294 0 0 0 249 293 0 1 0 250 281 1 0 0 250 295 0 0 0 250 296 0 0 0 251 294 0 0 0 251 295 0 0 0 251 297 0 0 0 252 296 0 0 0 252 297 0 0 0 253 282 0 0 0 253 298 0 0 0 254 296 -1 0 0 254 298 0 0 0 255 284 0 1 0 255 285 0 1 0 256 285 0 1 0 256 298 0 0 0 259 283 0 0 1 260 286 0 0 1 260 299 0 0 0 261 287 0 0 1 261 299 0 0 0 262 278 0 0 1 262 300 0 0 0 263 279 0 0 1 263 300 0 0 0 264 301 0 0 0 265 300 0 0 0 265 301 0 0 0 266 301 0 0 0 267 302 0 0 0 267 303 0 0 0 268 302 0 0 0 269 303 0 0 0 270 303 0 0 0 270 304 0 0 0 271 288 0 0 1 271 304 0 0 0 272 299 0 0 0 272 304 0 0 0 273 302 0 1 0 273 303 0 1 0 274 302 0 1 0 274 305 0 0 0 275 305 0 0 0 276 301 1 0 0 276 305 0 0 0 277 305 -1 0 0 278 306 0 0 0 279 306 0 0 0 280 306 0 0 0 280 307 0 0 0 281 307 0 0 0 282 307 0 0 0 286 308 0 0 0 287 308 0 0 0 288 309 0 0 0 289 308 0 0 0 289 309 0 0 0 290 309 0 0 0 290 310 0 0 0 291 310 0 0 0 292 310 0 0 0 292 311 0 0 0 293 311 0 0 0 294 310 0 1 0 294 311 0 1 0 295 307 1 0 0 295 312 0 0 0 296 312 0 0 0 297 311 0 1 0 297 312 0 0 0 298 312 -1 0 0 299 308 0 0 1 300 306 0 0 1 304 309 0 0 1
(rcsr)The canonical Systre key, copied verbatim from the local RCSR Systre archive of 2019-06-01, and re-canonicalised here. Systre 19.6.0 was run on the RCSR archive key, the canonical key the archive states — on this very text, which is the only graph this record carries — and returned the same key, character for character. That is a check on the copy and not a second source: the input was the archive key itself, so the two statements are not independent, and what the run establishes is that the text is a well-formed canonical key which Systre reproduces unchanged. A deposited graph of this net would be the independent statement; this record holds none. The computed key is served under topology.symmetry with the graph it was computed from and the version that computed it. The checksum beside this key is still the one the archive carries, copied from the same block and neither computed nor verified here.
Checksum
fe126e7b3b9a7f5455a4fd1e3e4691e7 (rcsr)

Vertices

No coordination sequence is recorded for this net: the source stores none. Every sequence below is absent — which is a different fact from a sequence of length zero, and is why the field is null rather than an empty list.

Site symmetry. 312 of 312 vertex rows carry one, attributed to computed:mofpp.site_symmetry-v1 (spglib-2.7.0, rcsr-archive-key). The site symmetry on each vertex row is the point group of the operations of the net's ideal space group that leave that vertex where it is — its Wyckoff position in the net's maximum-symmetry embedding. It is a property of the net, not of any material built on it, and it is what says whether a four-coordinated vertex is tetrahedral (-43m) or square-planar (4/mmm) — a distinction the coordination number cannot make. Computed in Pm-3, setting the conventional one, by mofpp.site_symmetry v1 with spglib 2.7.0, from the embedding Systre 19.6.0 computed on the rcsr-archive-key. spglib determined the same space group from those coordinates independently, which is a check of two different computations against each other rather than a restatement.

One row per distinct vertex. The coordination sequence counts how many vertices lie at each topological distance; the vertex symbol names the shortest ring at each angle of the vertex; the site symmetry is the vertex's Wyckoff position in the net's maximum-symmetry embedding. The three columns do not carry the same warrant: which of them was corroborated, which was not, and which was computed here, is stated above the table.
# Coordination Site symmetry Vertex symbol Coordination sequence
0 4 1——
1 4 1——
2 4 1——
3 4 1——
4 4 1——
5 4 1——
6 4 1——
7 4 1——
8 4 1——
9 4 1——
10 4 1——
11 4 1——
12 4 1——
13 4 1——
14 4 1——
15 4 1——
16 4 1——
17 4 1——
18 4 1——
19 4 1——
20 4 1——
21 4 1——
22 4 1——
23 4 1——
24 4 1——
25 4 1——
26 4 1——
27 4 1——
28 4 1——
29 4 1——
30 4 1——
31 4 1——
32 4 1——
33 4 1——
34 4 1——
35 4 1——
36 4 1——
37 4 1——
38 4 1——
39 4 1——
40 4 1——
41 4 1——
42 4 1——
43 4 1——
44 4 1——
45 4 1——
46 4 1——
47 4 1——
48 4 1——
49 4 1——
50 4 1——
51 4 1——
52 4 1——
53 4 1——
54 4 1——
55 4 1——
56 4 1——
57 4 1——
58 4 1——
59 4 1——
60 4 1——
61 4 1——
62 4 1——
63 4 1——
64 4 1——
65 4 1——
66 4 1——
67 4 1——
68 4 1——
69 4 1——
70 4 1——
71 4 1——
72 4 1——
73 4 1——
74 4 1——
75 4 1——
76 4 1——
77 4 1——
78 4 1——
79 4 1——
80 4 1——
81 4 1——
82 4 1——
83 4 1——
84 4 1——
85 4 1——
86 4 1——
87 4 1——
88 4 1——
89 4 1——
90 4 1——
91 4 1——
92 4 1——
93 4 1——
94 4 1——
95 4 1——
96 4 1——
97 4 1——
98 4 1——
99 4 1——
100 4 1——
101 4 1——
102 4 1——
103 4 1——
104 4 1——
105 4 1——
106 4 1——
107 4 1——
108 4 1——
109 4 1——
110 4 1——
111 4 1——
112 4 1——
113 4 1——
114 4 1——
115 4 1——
116 4 1——
117 4 1——
118 4 1——
119 4 1——
120 4 1——
121 4 1——
122 4 1——
123 4 1——
124 4 1——
125 4 1——
126 4 1——
127 4 1——
128 4 1——
129 4 1——
130 4 1——
131 4 1——
132 4 1——
133 4 1——
134 4 1——
135 4 1——
136 4 1——
137 4 1——
138 4 1——
139 4 1——
140 4 1——
141 4 1——
142 4 1——
143 4 1——
144 4 1——
145 4 1——
146 4 1——
147 4 1——
148 4 1——
149 4 1——
150 4 1——
151 4 1——
152 4 1——
153 4 1——
154 4 1——
155 4 1——
156 4 1——
157 4 1——
158 4 1——
159 4 1——
160 4 1——
161 4 1——
162 4 1——
163 4 1——
164 4 1——
165 4 1——
166 4 1——
167 4 1——
168 4 1——
169 4 1——
170 4 1——
171 4 1——
172 4 1——
173 4 1——
174 4 1——
175 4 1——
176 4 1——
177 4 1——
178 4 1——
179 4 1——
180 4 1——
181 4 1——
182 4 1——
183 4 1——
184 4 1——
185 4 1——
186 4 1——
187 4 1——
188 4 1——
189 4 1——
190 4 1——
191 4 1——
192 4 1——
193 4 1——
194 4 1——
195 4 1——
196 4 1——
197 4 1——
198 4 1——
199 4 1——
200 4 1——
201 4 1——
202 4 1——
203 4 1——
204 4 1——
205 4 1——
206 4 1——
207 4 1——
208 4 1——
209 4 1——
210 4 1——
211 4 1——
212 4 1——
213 4 1——
214 4 1——
215 4 1——
216 4 1——
217 4 1——
218 4 1——
219 4 1——
220 4 1——
221 4 1——
222 4 1——
223 4 1——
224 4 1——
225 4 1——
226 4 1——
227 4 1——
228 4 1——
229 4 1——
230 4 1——
231 4 1——
232 4 1——
233 4 1——
234 4 1——
235 4 1——
236 4 1——
237 4 1——
238 4 1——
239 4 1——
240 4 1——
241 4 1——
242 4 1——
243 4 1——
244 4 1——
245 4 1——
246 4 1——
247 4 1——
248 4 1——
249 4 1——
250 4 1——
251 4 1——
252 4 1——
253 4 1——
254 4 1——
255 4 1——
256 4 1——
257 4 1——
258 4 1——
259 4 1——
260 4 1——
261 4 1——
262 4 1——
263 4 1——
264 4 1——
265 4 1——
266 4 1——
267 4 1——
268 4 1——
269 4 1——
270 4 1——
271 4 1——
272 4 1——
273 4 1——
274 4 1——
275 4 1——
276 4 1——
277 4 1——
278 4 1——
279 4 1——
280 4 1——
281 4 1——
282 4 1——
283 4 1——
284 4 1——
285 4 1——
286 4 1——
287 4 1——
288 4 1——
289 4 1——
290 4 1——
291 4 1——
292 4 1——
293 4 1——
294 4 1——
295 4 1——
296 4 1——
297 4 1——
298 4 1——
299 4 1——
300 4 1——
301 4 1——
302 4 1——
303 4 1——
304 4 1——
305 4 1——
306 4 1——
307 4 1——
308 4 1——
309 4 1——
310 4 1——
311 4 1——

Computed topology

Computed here from the quotient graph of the net itself, not transcribed from either source: periodicity, symmetry, invariants and rings, on the RCSR archive key, the canonical key the archive states, by mofpp.embedding 19.6.0 sha256:0d272e98a1a21669bc67a809b95c014ba2a2fb39a6fd2147039201216ab0d48d options:--fullUnitCell wrapper:2 embedding:1, mofpp.invariants 2, mofpp.periodicity 1, mofpp.rings 2, mofpp.site_symmetry spglib-2.7.0 systre-19.6.0 v1 and systre 19.6.0 sha256:0d272e98a1a21669bc67a809b95c014ba2a2fb39a6fd2147039201216ab0d48d options:--systreKey wrapper:2. Each basis is analysed on its own and the results are never merged, because a MOF+ deposit and an RCSR archive key are two different graphs that usually describe the same net and sometimes do not. The transitivity r and s are computed by nothing in this project: they count the faces and the tiles of a natural tiling, and none is derived here. That is a measured limit rather than a job not yet done. The Gavrog library this project runs Systre from was tried on 2026-09-12: for a 3-periodic net it has no route from a net to a tiling at all, and for a 2-periodic net it has one that works, whose result is a plane tiling with faces and no tiles and so a transitivity triple rather than an r and an s. This block therefore states p and q and leaves r and s unknown rather than filling them. Every entry carries the tool, its version and input_checksum, the checksum of the graph that was actually analysed, so that a result computed from the graph this record holds now can be told from one computed before it changed. Nothing here rebuilds a graph to check that, so no entry below is claimed to be current.

Periodicity — the RCSR archive key, the canonical key the archive states

Periodicity (rcsr-archive-key)
3-periodic
One connected net (rcsr-archive-key)
yes
Interpenetration (rcsr-archive-key)
1 copy
Computed by (rcsr-archive-key)
mofpp.periodicity 1 — ok

Symmetry — the RCSR archive key, the canonical key the archive states

Systre found one connected net in the repeat unit, so the group, the kinds of node and edge, and the key below describe that net.

Ideal space group (rcsr-archive-key)
Pm-3 (No. 200)
Transitivity p, q (rcsr-archive-key)
13, 31 Kinds of node and of edge. r and s count the faces and tiles of a natural tiling, and none is derived here: the library this site runs Systre from cannot produce one for a 3-periodic net at all, and a 2-periodic net tiles the plane, which has faces and no tiles. They stay unknown rather than being filled.
Point-group order (rcsr-archive-key)
24
Repeat-unit factor (rcsr-archive-key)
1
RCSR identification (rcsr-archive-key)
ucx
Computed Systre key (rcsr-archive-key)
3 1 2 0 0 0 1 3 0 0 0 1 4 0 0 0 1 5 0 0 0 2 6 0 0 0 2 7 0 0 0 2 8 0 0 0 3 6 0 0 0 3 9 0 0 0 3 10 0 0 0 4 7 0 0 0 4 9 0 0 0 4 11 0 0 0 5 8 0 0 0 5 12 0 0 0 5 13 0 0 0 6 14 0 0 0 6 15 0 0 0 7 15 0 0 0 7 16 0 0 0 8 17 0 0 0 8 18 0 0 0 9 15 0 0 0 9 19 0 0 0 10 19 0 0 0 10 20 0 0 0 10 21 0 0 0 11 16 0 0 0 11 22 0 0 0 11 23 0 0 0 12 17 0 0 0 12 22 0 0 0 12 24 0 0 0 13 18 0 0 0 13 24 0 0 0 13 25 0 0 0 14 26 0 0 0 14 27 0 0 0 14 28 0 0 0 15 27 0 0 0 16 29 0 0 0 16 30 0 0 0 17 30 0 0 0 17 31 0 0 0 18 31 0 0 0 18 32 0 0 0 19 33 0 0 0 19 34 0 0 0 20 28 0 0 0 20 33 0 0 0 20 35 0 0 0 21 34 0 0 0 21 35 0 0 0 21 36 0 0 0 22 30 0 0 0 22 37 0 0 0 23 29 0 0 0 23 37 0 0 0 23 38 0 0 0 24 31 0 0 0 24 39 0 0 0 25 32 0 0 0 25 40 0 0 0 25 41 0 0 0 26 42 0 0 0 26 43 0 0 0 26 44 0 0 0 27 43 0 0 0 27 45 0 0 0 28 44 0 0 0 28 45 0 0 0 29 46 0 0 0 29 47 0 0 0 30 47 0 0 0 31 48 0 0 0 32 49 0 0 0 32 50 0 0 0 33 45 0 0 0 33 51 0 0 0 34 51 0 0 0 34 52 0 0 0 35 51 0 0 0 35 53 0 0 0 36 53 0 0 0 36 54 0 0 0 36 55 0 0 0 37 47 0 0 0 37 56 0 0 0 38 56 0 0 0 38 57 0 0 0 38 58 0 0 0 39 48 0 0 0 39 59 0 0 0 39 60 0 0 0 40 50 0 0 0 40 59 0 0 0 40 61 0 0 0 41 49 0 0 0 41 61 0 0 0 41 62 0 0 0 42 63 0 0 0 42 64 0 0 0 42 65 0 0 0 43 66 0 0 0 43 67 0 0 0 44 65 0 0 0 44 67 0 0 0 45 67 0 0 0 46 68 0 0 0 46 69 0 0 0 46 70 0 0 0 47 69 0 0 0 48 71 0 0 0 48 72 0 0 0 49 73 0 0 0 49 74 0 0 0 50 71 0 0 0 50 74 0 0 0 51 75 0 0 0 52 75 0 0 0 52 76 0 0 0 52 77 0 0 0 53 78 0 0 0 53 79 0 0 0 54 76 0 0 0 54 79 0 0 0 54 80 0 0 0 55 78 0 0 0 55 80 0 0 0 55 81 0 0 0 56 82 0 0 0 56 83 0 0 0 57 70 0 0 0 57 82 0 0 0 57 84 0 0 0 58 83 0 0 0 58 84 0 0 0 58 85 0 0 0 59 71 0 0 0 59 86 0 0 0 60 72 0 0 0 60 86 0 0 0 60 87 0 0 0 61 74 0 0 0 61 88 0 0 0 62 88 0 0 0 62 89 0 0 0 62 90 0 0 0 63 91 0 0 0 63 92 0 0 0 63 93 0 0 0 64 92 0 0 0 64 94 0 0 0 64 95 0 0 0 65 93 0 0 0 65 95 0 0 0 66 94 0 0 0 66 96 0 0 0 66 97 0 0 0 67 97 0 0 0 68 98 0 0 0 68 99 0 0 0 68 100 0 0 0 69 100 0 0 0 69 101 0 0 0 70 99 0 0 0 70 101 0 0 0 71 102 0 0 0 72 102 0 0 0 72 103 0 0 0 73 104 0 0 0 73 105 0 0 0 73 106 0 0 0 74 105 0 0 0 75 107 0 0 0 75 108 0 0 0 76 107 0 0 0 76 109 0 0 0 77 108 0 0 0 77 109 0 0 0 77 110 0 0 0 78 111 0 0 0 78 112 0 0 0 79 107 0 0 0 79 112 0 0 0 80 112 0 0 0 80 113 0 0 0 81 113 0 0 0 81 114 0 0 0 81 115 0 0 0 82 101 0 0 0 82 116 0 0 0 83 116 0 0 0 83 117 0 0 0 84 116 0 0 0 84 118 0 0 0 85 118 0 0 0 85 119 0 0 0 85 120 0 0 0 86 102 0 0 0 86 121 0 0 0 87 121 0 0 0 87 122 0 0 0 87 123 0 0 0 88 124 0 0 0 88 125 0 0 0 89 106 0 0 0 89 124 0 0 0 89 126 0 0 0 90 125 0 0 0 90 126 0 0 0 90 127 0 0 0 91 128 0 0 0 91 129 0 0 0 91 130 0 0 0 92 129 0 0 0 92 131 0 0 0 93 131 0 0 0 93 132 0 0 0 94 133 0 0 0 94 134 0 0 0 95 131 0 0 0 95 134 0 0 0 96 133 0 0 0 96 135 0 0 0 96 136 0 0 0 97 134 0 0 0 97 136 0 0 0 98 137 0 0 0 98 138 0 0 0 98 139 0 0 0 99 139 0 0 0 99 140 0 0 0 100 140 0 0 0 100 141 0 0 0 101 140 0 0 0 102 142 0 0 0 103 142 0 0 0 103 143 0 0 0 103 144 0 0 0 104 145 0 0 0 104 146 0 0 0 104 147 0 0 0 105 146 0 0 0 105 148 0 0 0 106 147 0 0 0 106 148 0 0 0 107 149 0 0 0 108 149 0 0 0 108 150 0 0 0 109 149 0 0 0 109 151 0 0 0 110 151 0 0 0 110 152 0 0 0 110 153 0 0 0 111 154 0 0 0 111 155 0 0 0 111 156 0 0 0 112 155 0 0 0 113 157 0 0 0 113 158 0 0 0 114 156 0 0 0 114 157 0 0 0 114 159 0 0 0 115 158 0 0 0 115 159 0 0 0 115 160 0 0 0 116 154 1 0 0 117 154 1 0 0 117 156 1 0 0 117 161 0 0 0 118 162 0 0 0 118 163 0 0 0 119 161 0 0 0 119 162 0 0 0 119 164 0 0 0 120 163 0 0 0 120 164 0 0 0 120 165 0 0 0 121 166 0 0 0 121 167 0 0 0 122 144 0 0 0 122 166 0 0 0 122 168 0 0 0 123 167 0 0 0 123 168 0 0 0 123 169 0 0 0 124 148 0 0 0 124 170 0 0 0 125 170 0 0 0 125 171 0 0 0 126 170 0 0 0 126 172 0 0 0 127 172 0 0 0 127 173 0 0 0 127 174 0 0 0 128 175 0 0 0 128 176 0 0 0 128 177 0 0 0 129 175 0 0 0 129 178 0 0 0 130 176 0 0 0 130 178 0 0 0 130 179 0 0 0 131 180 0 0 0 132 179 0 0 0 132 180 0 0 0 132 181 0 0 0 133 182 0 0 0 133 183 0 0 0 134 183 0 0 0 135 182 0 0 0 135 184 0 0 0 135 185 0 0 0 136 183 0 0 0 136 186 0 0 0 137 187 0 0 0 137 188 0 0 0 137 189 0 0 0 138 188 0 0 0 138 190 0 0 0 138 191 0 0 0 139 189 0 0 0 139 190 0 0 0 140 181 1 0 0 141 179 1 0 0 141 181 1 0 0 141 191 0 0 0 142 192 0 0 0 142 193 0 0 0 143 192 0 0 0 143 194 0 0 0 143 195 0 0 0 144 193 0 0 0 144 195 0 0 0 145 196 0 0 0 145 197 0 0 0 145 198 0 0 0 146 199 0 0 0 146 200 0 0 0 147 198 0 0 0 147 200 0 0 0 148 200 0 0 0 149 201 0 0 0 150 201 0 0 0 150 202 0 0 0 150 203 0 0 0 151 204 0 0 0 151 205 0 0 0 152 203 0 0 0 152 204 0 0 0 152 206 0 0 0 153 205 0 0 0 153 206 0 0 0 153 207 0 0 0 154 208 0 0 0 155 208 0 0 0 155 209 0 0 0 156 209 0 0 0 157 209 0 0 0 157 210 0 0 0 158 210 0 0 0 158 211 0 0 0 159 210 0 0 0 159 212 0 0 0 160 212 0 0 0 160 213 0 0 0 160 214 0 0 0 161 208 1 0 0 161 209 1 0 0 162 208 1 0 0 162 215 0 0 0 163 215 0 0 0 163 216 0 0 0 164 215 0 0 0 164 217 0 0 0 165 217 0 0 0 165 218 0 0 0 165 219 0 0 0 166 193 0 0 0 166 220 0 0 0 167 220 0 0 0 167 221 0 0 0 168 220 0 0 0 168 222 0 0 0 169 222 0 0 0 169 223 0 0 0 169 224 0 0 0 170 202 0 1 0 171 202 0 1 0 171 203 0 1 0 171 225 0 0 0 172 226 0 0 0 172 227 0 0 0 173 225 0 0 0 173 227 0 0 0 173 228 0 0 0 174 213 0 0 0 174 226 0 0 0 174 228 0 0 0 175 229 0 0 0 175 230 0 0 0 176 230 0 0 0 176 231 0 0 0 177 231 0 0 0 177 232 0 0 0 177 233 0 0 0 178 230 0 0 0 178 234 0 0 0 179 234 0 0 0 180 234 0 0 0 180 235 0 0 0 181 235 0 0 0 182 236 0 0 0 182 237 0 0 0 183 238 0 0 0 184 236 0 0 0 184 239 0 0 0 184 240 0 0 0 185 237 0 0 0 185 240 0 0 0 185 241 0 0 0 186 238 0 0 0 186 241 0 0 0 186 242 0 0 0 187 243 0 0 0 187 244 0 0 0 187 245 0 0 0 188 244 0 0 0 188 246 0 0 0 189 246 0 0 0 189 247 0 0 0 190 235 1 0 0 190 246 0 0 0 191 234 1 0 0 191 235 1 0 0 192 248 0 0 0 192 249 0 0 0 193 249 0 0 0 194 250 0 0 0 194 251 0 0 0 194 252 0 0 0 195 249 0 0 0 195 252 0 0 0 196 233 0 0 0 196 253 0 0 0 196 254 0 0 0 197 253 0 0 0 197 255 0 0 0 197 256 0 0 0 198 254 0 0 0 198 256 0 0 0 199 241 0 1 0 199 242 0 1 0 199 255 0 0 0 200 242 0 1 0 201 257 0 0 0 201 258 0 0 0 202 257 0 0 0 203 258 0 0 0 204 258 0 0 0 204 259 0 0 0 205 236 0 0 1 205 259 0 0 0 206 259 0 0 0 206 260 0 0 0 207 239 0 0 1 207 260 0 0 0 207 261 0 0 0 210 262 0 0 0 211 229 0 0 1 211 262 0 0 0 211 263 0 0 0 212 264 0 0 0 212 265 0 0 0 213 264 0 0 0 213 266 0 0 0 214 263 0 0 0 214 265 0 0 0 214 266 0 0 0 215 267 0 0 0 216 267 0 0 0 216 268 0 0 0 216 269 0 0 0 217 270 0 0 0 217 271 0 0 0 218 269 0 0 0 218 270 0 0 0 218 272 0 0 0 219 261 0 0 0 219 271 0 0 0 219 272 0 0 0 220 268 0 1 0 221 268 0 1 0 221 269 0 1 0 221 273 0 0 0 222 274 0 0 0 222 275 0 0 0 223 273 0 0 0 223 274 0 0 0 223 276 0 0 0 224 264 1 0 0 224 275 0 0 0 224 276 0 0 0 225 257 0 1 0 225 258 0 1 0 226 275 -1 0 0 226 277 0 0 0 227 257 0 1 0 227 277 0 0 0 228 266 0 0 0 228 277 0 0 0 229 278 0 0 0 229 279 0 0 0 230 278 0 0 0 231 280 0 0 0 231 281 0 0 0 232 279 0 0 0 232 280 0 0 0 232 282 0 0 0 233 281 0 0 0 233 282 0 0 0 236 283 0 0 0 237 283 0 0 0 237 284 0 0 0 238 284 0 0 0 238 285 0 0 0 239 286 0 0 0 239 287 0 0 0 240 283 0 0 0 240 286 0 0 0 241 284 0 0 0 242 285 0 0 0 243 287 0 0 0 243 288 0 0 0 243 289 0 0 0 244 288 0 0 0 244 290 0 0 0 245 289 0 0 0 245 290 0 0 0 245 291 0 0 0 246 292 0 0 0 247 291 0 0 0 247 292 0 0 0 247 293 0 0 0 248 291 0 1 0 248 293 0 1 0 248 294 0 0 0 249 293 0 1 0 250 281 1 0 0 250 295 0 0 0 250 296 0 0 0 251 294 0 0 0 251 295 0 0 0 251 297 0 0 0 252 296 0 0 0 252 297 0 0 0 253 282 0 0 0 253 298 0 0 0 254 296 -1 0 0 254 298 0 0 0 255 284 0 1 0 255 285 0 1 0 256 285 0 1 0 256 298 0 0 0 259 283 0 0 1 260 286 0 0 1 260 299 0 0 0 261 287 0 0 1 261 299 0 0 0 262 278 0 0 1 262 300 0 0 0 263 279 0 0 1 263 300 0 0 0 264 301 0 0 0 265 300 0 0 0 265 301 0 0 0 266 301 0 0 0 267 302 0 0 0 267 303 0 0 0 268 302 0 0 0 269 303 0 0 0 270 303 0 0 0 270 304 0 0 0 271 288 0 0 1 271 304 0 0 0 272 299 0 0 0 272 304 0 0 0 273 302 0 1 0 273 303 0 1 0 274 302 0 1 0 274 305 0 0 0 275 305 0 0 0 276 301 1 0 0 276 305 0 0 0 277 305 -1 0 0 278 306 0 0 0 279 306 0 0 0 280 306 0 0 0 280 307 0 0 0 281 307 0 0 0 282 307 0 0 0 286 308 0 0 0 287 308 0 0 0 288 309 0 0 0 289 308 0 0 0 289 309 0 0 0 290 309 0 0 0 290 310 0 0 0 291 310 0 0 0 292 310 0 0 0 292 311 0 0 0 293 311 0 0 0 294 310 0 1 0 294 311 0 1 0 295 307 1 0 0 295 312 0 0 0 296 312 0 0 0 297 311 0 1 0 297 312 0 0 0 298 312 -1 0 0 299 308 0 0 1 300 306 0 0 1 304 309 0 0 1
Key against the archive (rcsr-archive-key)
the same key, character for character
TD10 as Systre prints it (rcsr-archive-key)
314
Computed by (symmetry, rcsr-archive-key)
systre 19.6.0 sha256:0d272e98a1a21669bc67a809b95c014ba2a2fb39a6fd2147039201216ab0d48d options:--systreKey wrapper:2 — ok

Invariants — the RCSR archive key, the canonical key the archive states

TD10, exact (rcsr-archive-key)
314.46153846153845
Genus (rcsr-archive-key)
313
Shells walked (rcsr-archive-key)
10
Computed by (invariants, rcsr-archive-key)
mofpp.invariants 2 — ok

Rings — the RCSR archive key, the canonical key the archive states

Net point symbol (rcsr-archive-key)
(4^4.6^2)
Longest ring searched (rcsr-archive-key)
40
Computed by (rings, rcsr-archive-key)
mofpp.rings 2 — ok
Computed from the graph itself, one row per set of vertices carrying the same symbols. The cycle symbol follows the MOF+ convention — the shortest cycle at each angle — and is the one comparable with the stored column above; the RCSR ring symbol names the shortest ring at each angle, with * where none exists within the bound, and is a different quantity.
Vertices Cycle symbol (MOF+ convention) RCSR ring symbol Point symbol Coordination sequence
0, 1, 3, 4, 6, 7, 10, 11, 12, 15, 16, 17, 21, 23, 24, 29, 30, 31, 38, 39, 47, 49, 58, 70, 114, 127, 152, 157, 158, 159, 174, 175, 176, 183, 204, 205, 206, 209, 210, 211, 213, 218, 228, 229, 230, 231, 235, 238, 239, 242, 258, 259, 260, 261, 262, 264, 270, 271, 277, 278, 279, 282, 285, 286, 287, 288, 298, 299, 303, 305, 307, 3084.4.4.4.6.6(2) 4.4.4.4.6.18 4^4.6^2 4 8 12 16 21 28 37 49 64 80
2, 5, 8, 14, 22, 28, 36, 40, 46, 48, 59, 60, 71, 73, 80, 85, 90, 101, 109, 112, 113, 128, 129, 134, 150, 151, 156, 164, 177, 181, 184, 186, 203, 212, 216, 217, 232, 236, 243, 244, 263, 265, 269, 280, 281, 289, 300, 3064.4.4.4.6.6(2) 4.4.4.4.6.18 4^4.6^2 4 8 12 16 21 28 37 49 64 79
9, 13, 18, 20, 25, 26, 33, 35, 37, 41, 42, 45, 51, 53, 54, 55, 57, 61, 62, 63, 65, 67, 68, 72, 75, 76, 79, 82, 84, 86, 87, 89, 91, 93, 95, 97, 99, 102, 103, 104, 108, 116, 118, 119, 120, 122, 124, 126, 132, 136, 137, 140, 141, 142, 144, 145, 155, 160, 163, 166, 168, 170, 172, 173, 178, 187, 190, 191, 193, 195, 196, 198, 202, 208, 220, 222, 223, 224, 227, 233, 240, 247, 249, 250, 252, 254, 257, 268, 272, 275, 283, 290, 293, 294, 302, 3094.4.4.4.6.6(2) 4.4.4.4.6.18 4^4.6^2 4 8 12 16 21 28 37 49 63 76
19, 27, 32, 44, 56, 69, 77, 81, 88, 92, 100, 105, 107, 110, 111, 121, 123, 130, 131, 135, 143, 147, 148, 149, 154, 162, 165, 179, 182, 185, 188, 192, 200, 214, 215, 225, 237, 245, 246, 253, 266, 274, 276, 291, 295, 297, 304, 3114.4.4.4.6.6(2) 4.4.4.4.6.16 4^4.6^2 4 8 12 16 21 28 37 48 60 73
34, 43, 50, 52, 64, 66, 74, 78, 83, 94, 96, 98, 106, 115, 117, 125, 133, 138, 139, 146, 153, 161, 167, 169, 171, 180, 189, 194, 197, 199, 201, 207, 219, 221, 226, 234, 241, 248, 251, 255, 256, 267, 273, 284, 292, 296, 301, 3104.4.4.4.6.6(2) 4.4.4.4.6.16 4^4.6^2 4 8 12 16 21 28 37 48 60 72

Cross-checks

Name against the computed key
single-source

Provenance

Source
rcsr
Identifier at the source
ucx
Retrieved
not recorded
Licence
© 2019 RCSR.net — verified from © 2019 RCSR.net. Redistributed by MOF++ under a private agreement with the rights holder. This permits redistribution by MOF++; it grants the reader no onward licence. Confirmed by the repository owner, 2026-09-09..
Published
yes

Position in the collection

RCSR index
2168 (derived) Derived by this site, not published by RCSR: the 1-based position of the symbol in the ascending ASCII-lexicographic ordering of the 2930 symbols in the RCSR Systre archive of 2019-06-01. RCSR does not number its nets; this is our ordering of their symbols and nothing more.
Complexity rank
3014 The order the ingest processed this net in, simplest first. A different number from the RCSR index above, meaning a different thing.