Net topology

sig

Ingested production record from rcsr+mofplus. Per-field provenance in field_sources.

JSON · mfpx

172 vertices and 344 edges in the unit cell. 76 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.

Crystallographic description

Spacegroup
P42/mnm (No. 136)
Cell lengths
a = 8.2685 Å, b = 8.2685 Å, c = 4.3572 Å
Cell angles
α = 90.00°, β = 90.00°, γ = 90.00°
Atoms in cell
172
Transitivity pqrs
17, 29, *, *
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 MOF+ deposit, the graph of the uploaded topology file. 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 9 0 0 0 3 10 0 0 0 3 11 0 0 0 4 12 0 0 0 4 13 0 0 0 4 14 0 0 0 5 15 0 0 0 5 16 0 0 0 5 17 0 0 0 6 9 0 0 0 6 18 0 0 0 6 19 0 0 0 7 12 0 0 0 7 20 0 0 0 7 21 0 0 0 8 15 0 0 0 8 22 0 0 0 8 23 0 0 0 9 24 0 0 0 9 25 0 0 0 10 13 0 0 0 10 23 1 0 0 10 26 0 0 0 11 17 0 0 0 11 27 0 0 0 11 28 0 0 0 12 29 0 0 0 12 30 0 0 0 13 31 0 0 0 13 32 0 0 0 14 16 0 0 0 14 33 0 0 0 14 34 0 0 0 15 26 -1 0 0 15 35 0 0 0 16 36 0 0 0 16 37 0 0 0 17 38 0 0 0 17 39 0 0 0 18 20 0 0 0 18 40 0 0 0 18 41 0 0 0 19 22 0 0 0 19 42 0 0 0 19 43 0 0 0 20 44 0 0 0 20 45 0 0 0 21 23 0 0 0 21 31 -1 0 0 21 46 0 0 0 22 47 0 0 0 22 48 0 0 0 23 24 -1 0 0 24 47 1 0 0 24 49 0 0 0 25 43 0 0 0 25 50 0 0 0 25 51 0 0 0 26 28 0 0 0 26 52 0 0 0 27 51 0 0 0 27 53 0 0 0 27 54 0 0 0 28 55 0 0 0 28 56 0 0 0 29 45 0 0 0 29 57 0 0 0 29 58 0 0 0 30 33 0 0 0 30 59 0 0 0 30 60 0 0 0 31 58 0 0 0 31 60 1 0 0 32 34 0 0 0 32 52 0 0 0 32 61 0 0 0 33 62 0 0 0 33 63 0 0 0 34 64 0 0 0 34 65 0 0 0 35 38 0 0 0 35 55 -1 0 0 35 66 0 0 0 36 52 -1 0 0 36 63 0 0 0 36 67 0 0 0 37 39 0 0 0 37 65 0 0 0 37 68 0 0 0 38 53 0 0 0 38 69 0 0 0 39 56 0 0 0 39 70 0 0 0 40 42 0 0 0 40 71 0 0 0 40 72 0 0 0 41 49 0 0 0 41 73 0 0 0 41 74 0 0 0 42 75 0 0 0 42 76 0 0 0 43 77 0 0 0 43 78 0 0 0 44 46 0 0 0 44 72 0 0 0 44 79 0 0 0 45 74 0 0 0 45 80 0 0 0 46 49 -1 0 0 46 81 0 0 0 47 50 -1 0 0 47 76 0 0 0 48 66 0 0 0 48 78 0 0 0 48 82 0 0 0 49 83 0 0 0 50 82 1 0 0 50 84 0 0 0 51 85 0 0 0 51 86 0 0 0 52 87 0 0 0 53 88 0 0 0 53 89 0 0 0 54 55 0 0 0 54 90 0 0 0 54 91 0 0 0 55 92 0 0 0 56 87 0 0 0 56 93 0 0 0 57 59 0 0 0 57 94 0 0 0 57 95 0 0 0 58 81 1 0 0 58 96 0 0 0 59 97 0 0 0 59 98 0 0 0 60 61 -1 0 0 60 99 0 0 0 61 63 1 0 0 61 100 0 0 0 62 64 0 0 0 62 98 0 0 0 62 101 0 0 0 63 102 0 0 0 64 100 0 0 0 64 103 0 0 0 65 87 0 0 0 65 104 0 0 0 66 88 0 0 0 66 90 -1 0 0 67 68 0 0 0 67 105 0 0 0 67 106 0 0 0 68 107 0 0 0 68 108 0 0 0 69 70 0 0 0 69 109 0 0 0 69 110 0 0 0 70 107 0 0 0 70 111 0 0 0 71 73 0 0 0 71 112 0 0 0 71 113 0 0 0 72 83 -1 0 0 72 114 0 0 0 73 115 0 0 0 73 116 0 0 0 74 81 1 0 0 74 117 0 0 0 75 77 0 0 0 75 113 0 0 0 75 118 0 0 0 76 83 -1 0 0 76 119 0 0 0 77 120 0 0 0 77 121 0 0 0 78 85 0 0 0 78 122 0 0 0 79 80 0 0 0 79 123 0 0 0 79 124 0 0 0 80 94 0 0 0 80 125 0 0 0 81 124 0 0 0 82 86 -1 0 0 82 126 0 0 0 83 116 0 0 0 84 119 1 0 0 84 120 0 0 0 84 127 0 0 0 85 88 0 0 0 85 128 0 0 0 86 90 0 0 0 86 129 0 0 0 87 105 1 0 0 88 130 0 0 0 89 91 0 0 0 89 109 0 0 0 89 125 0 1 0 90 131 0 0 0 91 132 0 0 0 91 133 0 0 0 92 93 0 0 0 92 110 1 0 0 92 133 0 0 0 93 111 0 0 0 93 134 0 0 0 94 109 0 -1 0 94 135 0 0 0 95 96 0 0 0 95 136 0 0 0 95 137 0 0 0 96 99 1 0 0 96 138 0 0 0 97 99 0 0 0 97 135 0 0 0 97 139 0 0 0 98 137 0 0 0 98 140 0 0 0 99 141 0 0 0 100 141 1 0 0 100 142 0 0 0 101 102 0 0 0 101 113 0 0 1 101 143 0 0 0 102 118 0 0 1 102 142 -1 0 0 103 113 0 0 1 103 120 0 0 1 103 144 0 0 0 104 108 0 0 0 104 120 0 0 1 104 145 0 0 0 105 134 -1 0 0 105 145 -1 0 0 106 118 0 0 1 106 121 0 0 1 106 127 -1 0 1 107 146 0 0 0 107 147 0 0 0 108 121 0 0 1 108 148 0 0 0 109 136 0 1 0 110 135 0 1 0 110 146 0 0 0 111 136 0 1 0 111 149 0 0 0 112 114 0 0 0 112 143 0 0 -1 112 150 0 0 0 114 151 0 0 0 114 152 0 0 0 115 150 0 0 0 115 153 0 0 0 115 154 0 0 0 116 144 0 0 -1 116 152 1 0 0 117 125 0 0 0 117 132 0 -1 0 117 154 0 0 0 118 119 0 0 0 119 144 -1 0 -1 121 122 0 0 0 122 126 0 0 0 122 155 0 0 0 123 130 0 -1 0 123 131 -1 -1 0 123 151 0 0 0 124 132 -1 -1 0 124 138 -1 0 0 125 130 0 -1 0 126 127 -1 0 0 126 156 0 0 0 127 145 0 0 -1 128 129 0 0 0 128 155 0 0 0 128 157 0 0 0 129 156 1 0 0 129 158 0 0 0 130 157 0 0 0 131 132 0 0 0 131 158 0 0 0 133 136 0 1 0 133 138 0 1 0 134 146 1 0 0 134 159 0 0 0 135 138 -1 0 0 137 141 1 0 0 137 160 0 0 0 139 140 0 0 0 139 161 0 0 0 139 162 0 0 0 140 143 0 0 0 140 163 0 0 0 141 162 0 0 0 142 144 0 0 0 142 164 0 0 0 143 164 -1 0 0 145 165 0 0 0 146 161 0 1 0 147 148 0 0 0 147 149 0 0 0 147 166 0 0 0 148 155 0 0 1 148 165 0 0 0 149 159 0 0 0 149 160 0 1 0 150 163 0 0 -1 150 167 0 0 0 151 167 0 0 0 151 168 0 0 0 152 153 -1 0 0 152 164 -1 0 -1 153 168 1 0 0 153 169 0 0 0 154 157 0 -1 0 154 158 0 -1 0 155 170 0 0 0 156 165 -1 0 -1 156 171 0 0 0 157 167 0 1 0 158 168 1 1 0 159 165 0 0 0 159 172 0 0 0 160 163 0 0 0 160 169 0 0 1 161 166 0 -1 0 161 172 -1 -1 0 162 164 -1 0 0 162 169 -1 0 1 163 166 0 -1 0 166 170 0 0 1 167 170 0 -1 0 168 171 0 -1 0 169 172 0 -1 -1 170 171 0 0 0 171 172 -1 0 -1
(rcsr)The canonical Systre key, copied verbatim from the local RCSR Systre archive of 2019-06-01 — and corroborated here rather than carried on the word of the archive alone. Systre 19.6.0 was run on the MOF+ deposit, the graph of the uploaded topology file and computed the same key, character for character, so two independent statements of the canonical form of this net agree. 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
dd4105d6189393fedc13bd2ef2474fb9 (rcsr)

Vertices

The mapping of coordination sequences onto vertex classes that the source supplied was checked against a walk over the periodic topology of the net itself, one walk per vertex class, and agreed. The sequences are the values the source supplied; the walk settled nothing but which class each one describes.

Corroborated: 172 of 172 stored symbols were recomputed from the topology of the net itself and agree, entry for entry. A vertex symbol of this collection names the shortest cycle at each angle of a vertex, and mofpp.rings v2 (mofplus-deposit) walks those cycles on the deposit graph. The strings shown are still the values the source supplied; what was checked is that they are the values this net has.

Site symmetry. 172 of 172 vertex rows carry one, attributed to computed:mofpp.site_symmetry-v1 (spglib-2.7.0, mofplus-deposit). 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 P42/mnm, setting the conventional one, by mofpp.site_symmetry v1 with spglib 2.7.0, from the embedding Systre 19.6.0 computed on the mofplus-deposit. 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 -45.5.5.5.6.64 12 26 44 64 98 152 176 218 284
1 4 -45.5.5.5.6.64 12 26 44 64 98 152 176 218 284
2 4 -45.5.5.5.6.64 12 26 44 64 98 152 176 218 284
3 4 -45.5.5.5.6.64 12 26 44 64 98 152 176 218 284
4 4 mm25.5.5.5.6.64 12 26 46 70 95 130 180 230 288
5 4 mm25.5.5.5.6.64 12 26 46 70 95 130 180 230 288
6 4 mm25.5.5.5.6.64 12 26 46 70 95 130 180 230 288
7 4 mm25.5.5.5.6.64 12 26 46 70 95 130 180 230 288
8 4 mm25.5.5.5.5.64 12 25 40 66 107 130 171 219 274
9 4 mm25.5.5.5.5.64 12 25 40 66 107 130 171 219 274
10 4 mm25.5.5.5.5.64 12 25 40 66 107 130 171 219 274
11 4 mm25.5.5.5.5.64 12 25 40 66 107 130 171 219 274
12 4 m5.5.5.5.6.64 12 26 45 68 98 134 174 230 289
13 4 m5.5.5.5.6.64 12 26 45 68 98 134 174 230 289
14 4 m5.5.5.5.6.64 12 26 45 68 98 134 174 230 289
15 4 m5.5.5.5.6.64 12 26 45 68 98 134 174 230 289
16 4 m5.5.5.5.6.64 12 26 45 68 98 134 174 230 289
17 4 m5.5.5.5.6.64 12 26 45 68 98 134 174 230 289
18 4 m5.5.5.5.6.64 12 26 45 68 98 134 174 230 289
19 4 m5.5.5.5.6.64 12 26 45 68 98 134 174 230 289
20 4 m5.5.5.5.5.64 12 25 42 68 100 134 171 228 276
21 4 m5.5.5.5.5.64 12 25 42 68 100 134 171 228 276
22 4 m5.5.5.5.5.64 12 25 42 68 100 134 171 228 276
23 4 m5.5.5.5.5.64 12 25 42 68 100 134 171 228 276
24 4 m5.5.5.5.5.64 12 25 42 68 100 134 171 228 276
25 4 m5.5.5.5.5.64 12 25 42 68 100 134 171 228 276
26 4 m5.5.5.5.5.64 12 25 42 68 100 134 171 228 276
27 4 m5.5.5.5.5.64 12 25 42 68 100 134 171 228 276
28 4 m5.5.5.5.5.64 12 25 40 64 103 133 169 219 267
29 4 m5.5.5.5.5.64 12 25 40 64 103 133 169 219 267
30 4 m5.5.5.5.5.64 12 25 40 64 103 133 169 219 267
31 4 m5.5.5.5.5.64 12 25 40 64 103 133 169 219 267
32 4 m5.5.5.5.5.64 12 25 40 64 103 133 169 219 267
33 4 m5.5.5.5.5.64 12 25 40 64 103 133 169 219 267
34 4 m5.5.5.5.5.64 12 25 40 64 103 133 169 219 267
35 4 m5.5.5.5.5.64 12 25 40 64 103 133 169 219 267
36 4 m5.5.5.5.5.64 12 25 42 68 98 130 174 231 273
37 4 m5.5.5.5.5.64 12 25 42 68 98 130 174 231 273
38 4 m5.5.5.5.5.64 12 25 42 68 98 130 174 231 273
39 4 m5.5.5.5.5.64 12 25 42 68 98 130 174 231 273
40 4 m5.5.5.5.5.64 12 25 42 68 98 130 174 231 273
41 4 m5.5.5.5.5.64 12 25 42 68 98 130 174 231 273
42 4 m5.5.5.5.5.64 12 25 42 68 98 130 174 231 273
43 4 m5.5.5.5.5.64 12 25 42 68 98 130 174 231 273
44 4 m5.5.5.5.6.64 12 26 45 67 95 134 179 227 279
45 4 m5.5.5.5.6.64 12 26 45 67 95 134 179 227 279
46 4 m5.5.5.5.6.64 12 26 45 67 95 134 179 227 279
47 4 m5.5.5.5.6.64 12 26 45 67 95 134 179 227 279
48 4 m5.5.5.5.6.64 12 26 45 67 95 134 179 227 279
49 4 m5.5.5.5.6.64 12 26 45 67 95 134 179 227 279
50 4 m5.5.5.5.6.64 12 26 45 67 95 134 179 227 279
51 4 m5.5.5.5.6.64 12 26 45 67 95 134 179 227 279
52 4 m5.5.5.5.5.64 12 25 44 69 94 128 183 228 274
53 4 m5.5.5.5.5.64 12 25 44 69 94 128 183 228 274
54 4 m5.5.5.5.5.64 12 25 44 69 94 128 183 228 274
55 4 m5.5.5.5.5.64 12 25 44 69 94 128 183 228 274
56 4 m5.5.5.5.5.64 12 25 44 69 94 128 183 228 274
57 4 m5.5.5.5.5.64 12 25 44 69 94 128 183 228 274
58 4 m5.5.5.5.5.64 12 25 44 69 94 128 183 228 274
59 4 m5.5.5.5.5.64 12 25 44 69 94 128 183 228 274
60 4 m5.5.5.5.5.54 12 24 40 65 96 140 170 211 275
61 4 m5.5.5.5.5.54 12 24 40 65 96 140 170 211 275
62 4 m5.5.5.5.5.54 12 24 40 65 96 140 170 211 275
63 4 m5.5.5.5.5.54 12 24 40 65 96 140 170 211 275
64 4 m5.5.5.5.5.54 12 24 40 65 96 140 170 211 275
65 4 m5.5.5.5.5.54 12 24 40 65 96 140 170 211 275
66 4 m5.5.5.5.5.54 12 24 40 65 96 140 170 211 275
67 4 m5.5.5.5.5.54 12 24 40 65 96 140 170 211 275
68 4 m5.5.5.5.5.54 12 24 39 66 102 132 172 217 269
69 4 m5.5.5.5.5.54 12 24 39 66 102 132 172 217 269
70 4 m5.5.5.5.5.54 12 24 39 66 102 132 172 217 269
71 4 m5.5.5.5.5.54 12 24 39 66 102 132 172 217 269
72 4 m5.5.5.5.5.54 12 24 39 66 102 132 172 217 269
73 4 m5.5.5.5.5.54 12 24 39 66 102 132 172 217 269
74 4 m5.5.5.5.5.54 12 24 39 66 102 132 172 217 269
75 4 m5.5.5.5.5.54 12 24 39 66 102 132 172 217 269
76 4 15.5.5.5.5.64 12 25 43 69 98 129 175 227 280
77 4 15.5.5.5.5.64 12 25 43 69 98 129 175 227 280
78 4 15.5.5.5.5.64 12 25 43 69 98 129 175 227 280
79 4 15.5.5.5.5.64 12 25 43 69 98 129 175 227 280
80 4 15.5.5.5.5.64 12 25 43 69 98 129 175 227 280
81 4 15.5.5.5.5.64 12 25 43 69 98 129 175 227 280
82 4 15.5.5.5.5.64 12 25 43 69 98 129 175 227 280
83 4 15.5.5.5.5.64 12 25 43 69 98 129 175 227 280
84 4 15.5.5.5.5.64 12 25 43 69 98 129 175 227 280
85 4 15.5.5.5.5.64 12 25 43 69 98 129 175 227 280
86 4 15.5.5.5.5.64 12 25 43 69 98 129 175 227 280
87 4 15.5.5.5.5.64 12 25 43 69 98 129 175 227 280
88 4 15.5.5.5.5.64 12 25 43 69 98 129 175 227 280
89 4 15.5.5.5.5.64 12 25 43 69 98 129 175 227 280
90 4 15.5.5.5.5.64 12 25 43 69 98 129 175 227 280
91 4 15.5.5.5.5.64 12 25 43 69 98 129 175 227 280
92 4 15.5.5.5.5.54 12 24 42 68 96 132 177 222 273
93 4 15.5.5.5.5.54 12 24 42 68 96 132 177 222 273
94 4 15.5.5.5.5.54 12 24 42 68 96 132 177 222 273
95 4 15.5.5.5.5.54 12 24 42 68 96 132 177 222 273
96 4 15.5.5.5.5.54 12 24 42 68 96 132 177 222 273
97 4 15.5.5.5.5.54 12 24 42 68 96 132 177 222 273
98 4 15.5.5.5.5.54 12 24 42 68 96 132 177 222 273
99 4 15.5.5.5.5.54 12 24 42 68 96 132 177 222 273
100 4 15.5.5.5.5.54 12 24 42 68 96 132 177 222 273
101 4 15.5.5.5.5.54 12 24 42 68 96 132 177 222 273
102 4 15.5.5.5.5.54 12 24 42 68 96 132 177 222 273
103 4 15.5.5.5.5.54 12 24 42 68 96 132 177 222 273
104 4 15.5.5.5.5.54 12 24 42 68 96 132 177 222 273
105 4 15.5.5.5.5.54 12 24 42 68 96 132 177 222 273
106 4 15.5.5.5.5.54 12 24 42 68 96 132 177 222 273
107 4 15.5.5.5.5.54 12 24 42 68 96 132 177 222 273
108 4 15.5.5.5.5.54 12 24 40 66 96 135 171 214 271
109 4 15.5.5.5.5.54 12 24 40 66 96 135 171 214 271
110 4 15.5.5.5.5.54 12 24 40 66 96 135 171 214 271
111 4 15.5.5.5.5.54 12 24 40 66 96 135 171 214 271
112 4 15.5.5.5.5.54 12 24 40 66 96 135 171 214 271
113 4 15.5.5.5.5.54 12 24 40 66 96 135 171 214 271
114 4 15.5.5.5.5.54 12 24 40 66 96 135 171 214 271
115 4 15.5.5.5.5.54 12 24 40 66 96 135 171 214 271
116 4 15.5.5.5.5.54 12 24 40 66 96 135 171 214 271
117 4 15.5.5.5.5.54 12 24 40 66 96 135 171 214 271
118 4 15.5.5.5.5.54 12 24 40 66 96 135 171 214 271
119 4 15.5.5.5.5.54 12 24 40 66 96 135 171 214 271
120 4 15.5.5.5.5.54 12 24 40 66 96 135 171 214 271
121 4 15.5.5.5.5.54 12 24 40 66 96 135 171 214 271
122 4 15.5.5.5.5.54 12 24 40 66 96 135 171 214 271
123 4 15.5.5.5.5.54 12 24 40 66 96 135 171 214 271
124 4 15.5.5.5.5.54 12 24 42 68 96 131 176 222 276
125 4 15.5.5.5.5.54 12 24 42 68 96 131 176 222 276
126 4 15.5.5.5.5.54 12 24 42 68 96 131 176 222 276
127 4 15.5.5.5.5.54 12 24 42 68 96 131 176 222 276
128 4 15.5.5.5.5.54 12 24 42 68 96 131 176 222 276
129 4 15.5.5.5.5.54 12 24 42 68 96 131 176 222 276
130 4 15.5.5.5.5.54 12 24 42 68 96 131 176 222 276
131 4 15.5.5.5.5.54 12 24 42 68 96 131 176 222 276
132 4 15.5.5.5.5.54 12 24 42 68 96 131 176 222 276
133 4 15.5.5.5.5.54 12 24 42 68 96 131 176 222 276
134 4 15.5.5.5.5.54 12 24 42 68 96 131 176 222 276
135 4 15.5.5.5.5.54 12 24 42 68 96 131 176 222 276
136 4 15.5.5.5.5.54 12 24 42 68 96 131 176 222 276
137 4 15.5.5.5.5.54 12 24 42 68 96 131 176 222 276
138 4 15.5.5.5.5.54 12 24 42 68 96 131 176 222 276
139 4 15.5.5.5.5.54 12 24 42 68 96 131 176 222 276
140 4 15.5.5.5.5.64 12 25 42 69 102 132 180 227 274
141 4 15.5.5.5.5.64 12 25 42 69 102 132 180 227 274
142 4 15.5.5.5.5.64 12 25 42 69 102 132 180 227 274
143 4 15.5.5.5.5.64 12 25 42 69 102 132 180 227 274
144 4 15.5.5.5.5.64 12 25 42 69 102 132 180 227 274
145 4 15.5.5.5.5.64 12 25 42 69 102 132 180 227 274
146 4 15.5.5.5.5.64 12 25 42 69 102 132 180 227 274
147 4 15.5.5.5.5.64 12 25 42 69 102 132 180 227 274
148 4 15.5.5.5.5.64 12 25 42 69 102 132 180 227 274
149 4 15.5.5.5.5.64 12 25 42 69 102 132 180 227 274
150 4 15.5.5.5.5.64 12 25 42 69 102 132 180 227 274
151 4 15.5.5.5.5.64 12 25 42 69 102 132 180 227 274
152 4 15.5.5.5.5.64 12 25 42 69 102 132 180 227 274
153 4 15.5.5.5.5.64 12 25 42 69 102 132 180 227 274
154 4 15.5.5.5.5.64 12 25 42 69 102 132 180 227 274
155 4 15.5.5.5.5.64 12 25 42 69 102 132 180 227 274
156 4 15.5.5.5.5.64 12 25 43 69 97 129 180 225 274
157 4 15.5.5.5.5.64 12 25 43 69 97 129 180 225 274
158 4 15.5.5.5.5.64 12 25 43 69 97 129 180 225 274
159 4 15.5.5.5.5.64 12 25 43 69 97 129 180 225 274
160 4 15.5.5.5.5.64 12 25 43 69 97 129 180 225 274
161 4 15.5.5.5.5.64 12 25 43 69 97 129 180 225 274
162 4 15.5.5.5.5.64 12 25 43 69 97 129 180 225 274
163 4 15.5.5.5.5.64 12 25 43 69 97 129 180 225 274
164 4 15.5.5.5.5.64 12 25 43 69 97 129 180 225 274
165 4 15.5.5.5.5.64 12 25 43 69 97 129 180 225 274
166 4 15.5.5.5.5.64 12 25 43 69 97 129 180 225 274
167 4 15.5.5.5.5.64 12 25 43 69 97 129 180 225 274
168 4 15.5.5.5.5.64 12 25 43 69 97 129 180 225 274
169 4 15.5.5.5.5.64 12 25 43 69 97 129 180 225 274
170 4 15.5.5.5.5.64 12 25 43 69 97 129 180 225 274
171 4 15.5.5.5.5.64 12 25 43 69 97 129 180 225 274

Computed topology

Computed here from the quotient graph of the net itself, not transcribed from either source: periodicity, symmetry, invariants and rings, on the MOF+ deposit, the graph of the uploaded topology file and the RCSR archive key, the canonical key the archive states, by 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 MOF+ deposit, the graph of the uploaded topology file

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

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 MOF+ deposit, the graph of the uploaded topology file

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 (mofplus-deposit)
P42/mnm (No. 136)
Transitivity p, q (mofplus-deposit)
17, 29 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 (mofplus-deposit)
16
Repeat-unit factor (mofplus-deposit)
1
RCSR identification (mofplus-deposit)
sig
Computed Systre key (mofplus-deposit)
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 9 0 0 0 3 10 0 0 0 3 11 0 0 0 4 12 0 0 0 4 13 0 0 0 4 14 0 0 0 5 15 0 0 0 5 16 0 0 0 5 17 0 0 0 6 9 0 0 0 6 18 0 0 0 6 19 0 0 0 7 12 0 0 0 7 20 0 0 0 7 21 0 0 0 8 15 0 0 0 8 22 0 0 0 8 23 0 0 0 9 24 0 0 0 9 25 0 0 0 10 13 0 0 0 10 23 1 0 0 10 26 0 0 0 11 17 0 0 0 11 27 0 0 0 11 28 0 0 0 12 29 0 0 0 12 30 0 0 0 13 31 0 0 0 13 32 0 0 0 14 16 0 0 0 14 33 0 0 0 14 34 0 0 0 15 26 -1 0 0 15 35 0 0 0 16 36 0 0 0 16 37 0 0 0 17 38 0 0 0 17 39 0 0 0 18 20 0 0 0 18 40 0 0 0 18 41 0 0 0 19 22 0 0 0 19 42 0 0 0 19 43 0 0 0 20 44 0 0 0 20 45 0 0 0 21 23 0 0 0 21 31 -1 0 0 21 46 0 0 0 22 47 0 0 0 22 48 0 0 0 23 24 -1 0 0 24 47 1 0 0 24 49 0 0 0 25 43 0 0 0 25 50 0 0 0 25 51 0 0 0 26 28 0 0 0 26 52 0 0 0 27 51 0 0 0 27 53 0 0 0 27 54 0 0 0 28 55 0 0 0 28 56 0 0 0 29 45 0 0 0 29 57 0 0 0 29 58 0 0 0 30 33 0 0 0 30 59 0 0 0 30 60 0 0 0 31 58 0 0 0 31 60 1 0 0 32 34 0 0 0 32 52 0 0 0 32 61 0 0 0 33 62 0 0 0 33 63 0 0 0 34 64 0 0 0 34 65 0 0 0 35 38 0 0 0 35 55 -1 0 0 35 66 0 0 0 36 52 -1 0 0 36 63 0 0 0 36 67 0 0 0 37 39 0 0 0 37 65 0 0 0 37 68 0 0 0 38 53 0 0 0 38 69 0 0 0 39 56 0 0 0 39 70 0 0 0 40 42 0 0 0 40 71 0 0 0 40 72 0 0 0 41 49 0 0 0 41 73 0 0 0 41 74 0 0 0 42 75 0 0 0 42 76 0 0 0 43 77 0 0 0 43 78 0 0 0 44 46 0 0 0 44 72 0 0 0 44 79 0 0 0 45 74 0 0 0 45 80 0 0 0 46 49 -1 0 0 46 81 0 0 0 47 50 -1 0 0 47 76 0 0 0 48 66 0 0 0 48 78 0 0 0 48 82 0 0 0 49 83 0 0 0 50 82 1 0 0 50 84 0 0 0 51 85 0 0 0 51 86 0 0 0 52 87 0 0 0 53 88 0 0 0 53 89 0 0 0 54 55 0 0 0 54 90 0 0 0 54 91 0 0 0 55 92 0 0 0 56 87 0 0 0 56 93 0 0 0 57 59 0 0 0 57 94 0 0 0 57 95 0 0 0 58 81 1 0 0 58 96 0 0 0 59 97 0 0 0 59 98 0 0 0 60 61 -1 0 0 60 99 0 0 0 61 63 1 0 0 61 100 0 0 0 62 64 0 0 0 62 98 0 0 0 62 101 0 0 0 63 102 0 0 0 64 100 0 0 0 64 103 0 0 0 65 87 0 0 0 65 104 0 0 0 66 88 0 0 0 66 90 -1 0 0 67 68 0 0 0 67 105 0 0 0 67 106 0 0 0 68 107 0 0 0 68 108 0 0 0 69 70 0 0 0 69 109 0 0 0 69 110 0 0 0 70 107 0 0 0 70 111 0 0 0 71 73 0 0 0 71 112 0 0 0 71 113 0 0 0 72 83 -1 0 0 72 114 0 0 0 73 115 0 0 0 73 116 0 0 0 74 81 1 0 0 74 117 0 0 0 75 77 0 0 0 75 113 0 0 0 75 118 0 0 0 76 83 -1 0 0 76 119 0 0 0 77 120 0 0 0 77 121 0 0 0 78 85 0 0 0 78 122 0 0 0 79 80 0 0 0 79 123 0 0 0 79 124 0 0 0 80 94 0 0 0 80 125 0 0 0 81 124 0 0 0 82 86 -1 0 0 82 126 0 0 0 83 116 0 0 0 84 119 1 0 0 84 120 0 0 0 84 127 0 0 0 85 88 0 0 0 85 128 0 0 0 86 90 0 0 0 86 129 0 0 0 87 105 1 0 0 88 130 0 0 0 89 91 0 0 0 89 109 0 0 0 89 125 0 1 0 90 131 0 0 0 91 132 0 0 0 91 133 0 0 0 92 93 0 0 0 92 110 1 0 0 92 133 0 0 0 93 111 0 0 0 93 134 0 0 0 94 109 0 -1 0 94 135 0 0 0 95 96 0 0 0 95 136 0 0 0 95 137 0 0 0 96 99 1 0 0 96 138 0 0 0 97 99 0 0 0 97 135 0 0 0 97 139 0 0 0 98 137 0 0 0 98 140 0 0 0 99 141 0 0 0 100 141 1 0 0 100 142 0 0 0 101 102 0 0 0 101 113 0 0 1 101 143 0 0 0 102 118 0 0 1 102 142 -1 0 0 103 113 0 0 1 103 120 0 0 1 103 144 0 0 0 104 108 0 0 0 104 120 0 0 1 104 145 0 0 0 105 134 -1 0 0 105 145 -1 0 0 106 118 0 0 1 106 121 0 0 1 106 127 -1 0 1 107 146 0 0 0 107 147 0 0 0 108 121 0 0 1 108 148 0 0 0 109 136 0 1 0 110 135 0 1 0 110 146 0 0 0 111 136 0 1 0 111 149 0 0 0 112 114 0 0 0 112 143 0 0 -1 112 150 0 0 0 114 151 0 0 0 114 152 0 0 0 115 150 0 0 0 115 153 0 0 0 115 154 0 0 0 116 144 0 0 -1 116 152 1 0 0 117 125 0 0 0 117 132 0 -1 0 117 154 0 0 0 118 119 0 0 0 119 144 -1 0 -1 121 122 0 0 0 122 126 0 0 0 122 155 0 0 0 123 130 0 -1 0 123 131 -1 -1 0 123 151 0 0 0 124 132 -1 -1 0 124 138 -1 0 0 125 130 0 -1 0 126 127 -1 0 0 126 156 0 0 0 127 145 0 0 -1 128 129 0 0 0 128 155 0 0 0 128 157 0 0 0 129 156 1 0 0 129 158 0 0 0 130 157 0 0 0 131 132 0 0 0 131 158 0 0 0 133 136 0 1 0 133 138 0 1 0 134 146 1 0 0 134 159 0 0 0 135 138 -1 0 0 137 141 1 0 0 137 160 0 0 0 139 140 0 0 0 139 161 0 0 0 139 162 0 0 0 140 143 0 0 0 140 163 0 0 0 141 162 0 0 0 142 144 0 0 0 142 164 0 0 0 143 164 -1 0 0 145 165 0 0 0 146 161 0 1 0 147 148 0 0 0 147 149 0 0 0 147 166 0 0 0 148 155 0 0 1 148 165 0 0 0 149 159 0 0 0 149 160 0 1 0 150 163 0 0 -1 150 167 0 0 0 151 167 0 0 0 151 168 0 0 0 152 153 -1 0 0 152 164 -1 0 -1 153 168 1 0 0 153 169 0 0 0 154 157 0 -1 0 154 158 0 -1 0 155 170 0 0 0 156 165 -1 0 -1 156 171 0 0 0 157 167 0 1 0 158 168 1 1 0 159 165 0 0 0 159 172 0 0 0 160 163 0 0 0 160 169 0 0 1 161 166 0 -1 0 161 172 -1 -1 0 162 164 -1 0 0 162 169 -1 0 1 163 166 0 -1 0 166 170 0 0 1 167 170 0 -1 0 168 171 0 -1 0 169 172 0 -1 -1 170 171 0 0 0 171 172 -1 0 -1
Key against the archive (mofplus-deposit)
the same key, character for character
TD10 as Systre prints it (mofplus-deposit)
1056
Computed by (symmetry, mofplus-deposit)
systre 19.6.0 sha256:0d272e98a1a21669bc67a809b95c014ba2a2fb39a6fd2147039201216ab0d48d options:--systreKey wrapper:2 — ok

Invariants — the MOF+ deposit, the graph of the uploaded topology file

TD10, exact (mofplus-deposit)
1055.953488372093
Genus (mofplus-deposit)
173
Shells walked (mofplus-deposit)
10
Computed by (invariants, mofplus-deposit)
mofpp.invariants 2 — ok

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

TD10, exact (rcsr-archive-key)
1055.953488372093
Genus (rcsr-archive-key)
173
Shells walked (rcsr-archive-key)
10
Computed by (invariants, rcsr-archive-key)
mofpp.invariants 2 — ok

Rings — the MOF+ deposit, the graph of the uploaded topology file

Net point symbol (mofplus-deposit)
(5^4.6^2)6(5^5.6)21(5^6)16
Longest ring searched (mofplus-deposit)
40
Computed by (rings, mofplus-deposit)
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, 2, 35.5.5.5.6.6 5.5.5.5.6.6 5^4.6^2 4 12 26 44 64 98 152 176 218 284
4, 5, 6, 75.5.5.5.6.6 5.5.5.5.6.6 5^4.6^2 4 12 26 46 70 95 130 180 230 288
8, 9, 10, 115.5.5.5.5.6 5.5.5.5.5.6 5^5.6 4 12 25 40 66 107 130 171 219 274
12, 13, 14, 15, 16, 17, 18, 195.5.5.5.6.6 5.5.5.5.6.6 5^4.6^2 4 12 26 45 68 98 134 174 230 289
20, 21, 22, 23, 24, 25, 26, 275.5.5.5.5.6 5.5.5.5.5.6 5^5.6 4 12 25 42 68 100 134 171 228 276
28, 29, 30, 31, 32, 33, 34, 355.5.5.5.5.6 5.5.5.5.5.6 5^5.6 4 12 25 40 64 103 133 169 219 267
36, 37, 38, 39, 40, 41, 42, 435.5.5.5.5.6 5.5.5.5.5.6 5^5.6 4 12 25 42 68 98 130 174 231 273
44, 45, 46, 47, 48, 49, 50, 515.5.5.5.6.6 5.5.5.5.6.6 5^4.6^2 4 12 26 45 67 95 134 179 227 279
52, 53, 54, 55, 56, 57, 58, 595.5.5.5.5.6 5.5.5.5.5.6 5^5.6 4 12 25 44 69 94 128 183 228 274
60, 61, 62, 63, 64, 65, 66, 675.5.5.5.5.5 5.5.5.5.5.5 5^6 4 12 24 40 65 96 140 170 211 275
68, 69, 70, 71, 72, 73, 74, 755.5.5.5.5.5 5.5.5.5.5.5 5^6 4 12 24 39 66 102 132 172 217 269
76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 915.5.5.5.5.6 5.5.5.5.5.6 5^5.6 4 12 25 43 69 98 129 175 227 280
92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 1075.5.5.5.5.5 5.5.5.5.5.5 5^6 4 12 24 42 68 96 132 177 222 273
108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 1235.5.5.5.5.5 5.5.5.5.5.5 5^6 4 12 24 40 66 96 135 171 214 271
124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 1395.5.5.5.5.5 5.5.5.5.5.5 5^6 4 12 24 42 68 96 131 176 222 276
140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 1555.5.5.5.5.6 5.5.5.5.5.6 5^5.6 4 12 25 42 69 102 132 180 227 274
156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 1715.5.5.5.5.6 5.5.5.5.5.6 5^5.6 4 12 25 43 69 97 129 180 225 274

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

Net point symbol (rcsr-archive-key)
(5^4.6^2)6(5^5.6)21(5^6)16
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, 9, 19, 32, 45, 56, 60, 84, 85, 95, 120, 126, 146, 158, 166, 1675.5.5.5.5.5 5.5.5.5.5.5 5^6 4 12 24 42 68 96 131 176 222 276
1, 13, 22, 31, 44, 58, 77, 80, 81, 98, 107, 144, 156, 157, 165, 1715.5.5.5.5.5 5.5.5.5.5.5 5^6 4 12 24 42 68 96 132 177 222 273
2, 43, 50, 62, 94, 105, 148, 1505.5.5.5.5.6 5.5.5.5.5.6 5^5.6 4 12 25 42 68 98 130 174 231 273
3, 6, 12, 20, 28, 29, 57, 59, 121, 125, 127, 128, 147, 164, 169, 1705.5.5.5.5.6 5.5.5.5.5.6 5^5.6 4 12 25 42 69 102 132 180 227 274
4, 17, 25, 48, 61, 76, 83, 87, 89, 93, 99, 106, 133, 137, 149, 1525.5.5.5.5.6 5.5.5.5.5.6 5^5.6 4 12 25 43 69 98 129 175 227 280
5, 15, 23, 42, 49, 51, 67, 79, 97, 104, 123, 129, 130, 140, 162, 1685.5.5.5.5.6 5.5.5.5.5.6 5^5.6 4 12 25 43 69 97 129 180 225 274
7, 33, 47, 73, 96, 103, 153, 1605.5.5.5.5.6 5.5.5.5.5.6 5^5.6 4 12 25 42 68 100 134 171 228 276
8, 24, 35, 66, 78, 122, 136, 1595.5.5.5.6.6 5.5.5.5.6.6 5^4.6^2 4 12 26 45 67 95 134 179 227 279
10, 26, 71, 101, 110, 113, 117, 1355.5.5.5.5.6 5.5.5.5.5.6 5^5.6 4 12 25 40 64 103 133 169 219 267
11, 30, 154, 1555.5.5.5.6.6 5.5.5.5.6.6 5^4.6^2 4 12 26 44 64 98 152 176 218 284
14, 40, 63, 65, 114, 119, 134, 1455.5.5.5.6.6 5.5.5.5.6.6 5^4.6^2 4 12 26 45 68 98 134 174 230 289
16, 27, 39, 52, 53, 69, 74, 82, 92, 100, 108, 111, 118, 132, 141, 1515.5.5.5.5.5 5.5.5.5.5.5 5^6 4 12 24 40 66 96 135 171 214 271
18, 36, 46, 86, 124, 131, 139, 1615.5.5.5.5.5 5.5.5.5.5.5 5^6 4 12 24 40 65 96 140 170 211 275
21, 64, 116, 1385.5.5.5.5.6 5.5.5.5.5.6 5^5.6 4 12 25 40 66 107 130 171 219 274
34, 72, 102, 1095.5.5.5.6.6 5.5.5.5.6.6 5^4.6^2 4 12 26 46 70 95 130 180 230 288
37, 54, 68, 70, 91, 112, 115, 1435.5.5.5.5.6 5.5.5.5.5.6 5^5.6 4 12 25 44 69 94 128 183 228 274
38, 41, 55, 75, 88, 90, 142, 1635.5.5.5.5.5 5.5.5.5.5.5 5^6 4 12 24 39 66 102 132 172 217 269

Cross-checks

Name against the computed key
corroborated-by-systre-key
Stored symbols against the computed ones
corroborated: 172 of 172 vertex rows agree with mofpp.rings v2 (mofplus-deposit).
Stored sequences against the computed ones
corroborated: 172 of 172 vertex rows agree with mofpp.invariants v2 (mofplus-deposit), compared on the stored length.
Catenation against the name heuristic
No; agrees with the computed value

Provenance

Source
rcsr+mofplus — reconciled from both, field by field
Identifier at the source
sig
Retrieved
2026-09-09
Licence
CC BY 4.0 — verified from MOF++ project decision, CONTEXT §6 (Licensing): MOF+ is this group's own service, so nets retrieved from it are the project's own data to license, and the project licenses its data CC BY 4.0. No third-party grant is claimed..
Published
yes

Position in the collection

RCSR index
1739 (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
2298 The order the ingest processed this net in, simplest first. A different number from the RCSR index above, meaning a different thing.