Net topology

odl

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

JSON · mfpx

170 vertices and 340 edges in the unit cell. 50 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
P63/mcm (No. 193)
Cell lengths
a = 7.0437 Å, b = 7.0437 Å, c = 6.6334 Å
Cell angles
α = 90.00°, β = 90.00°, γ = 120.00°
Atoms in cell
170
Transitivity pqrs
11, 20, *, *
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 26 0 0 0 10 27 0 0 0 11 16 0 0 0 11 28 0 0 0 11 29 0 0 0 12 30 0 0 0 12 31 0 0 0 13 32 0 0 0 13 33 0 0 0 14 17 0 0 0 14 34 0 0 0 14 35 0 0 0 15 36 0 0 0 15 37 0 0 0 16 38 0 0 0 16 39 0 0 0 17 40 0 0 0 17 41 0 0 0 18 20 0 0 0 18 42 0 0 0 18 43 0 0 0 19 44 0 0 0 19 45 0 0 0 19 46 0 0 0 20 47 0 0 0 20 48 0 0 0 21 49 0 0 0 21 50 0 0 0 21 51 0 0 0 22 45 0 0 0 22 52 0 0 0 22 53 0 0 0 23 50 0 0 0 23 54 0 0 0 23 55 0 0 0 24 26 0 0 0 24 43 0 0 0 24 56 0 0 0 25 28 0 0 0 25 46 0 0 0 25 57 0 0 0 26 58 0 0 0 26 59 0 0 0 27 29 0 0 0 27 60 0 0 0 27 61 0 0 0 28 62 0 0 0 28 63 0 0 0 29 64 0 0 0 29 65 0 0 0 30 32 0 0 0 30 48 0 0 0 30 66 0 0 0 31 34 0 0 0 31 51 0 0 0 31 67 0 0 0 32 58 0 0 0 32 68 0 0 0 33 35 0 0 0 33 61 0 0 0 33 69 0 0 0 34 70 0 0 0 34 71 0 0 0 35 72 0 0 0 35 73 0 0 0 36 38 0 0 0 36 53 0 0 0 36 74 0 0 0 37 40 0 0 0 37 55 0 0 0 37 75 0 0 0 38 76 0 0 0 38 77 0 0 0 39 41 0 0 0 39 65 0 0 0 39 78 0 0 0 40 79 0 0 0 40 80 0 0 0 41 73 0 0 0 41 81 0 0 0 42 44 0 0 0 42 82 0 0 0 42 83 0 0 0 43 84 0 0 0 43 85 0 0 0 44 86 0 0 0 44 87 0 0 0 45 88 0 0 0 45 89 0 0 0 46 90 0 0 0 46 91 0 0 0 47 49 0 0 0 47 82 0 0 0 47 92 0 0 0 48 85 0 0 0 48 93 0 0 0 49 94 0 0 0 49 95 0 0 0 50 96 0 0 0 50 97 0 0 0 51 90 1 0 0 51 98 0 0 0 52 54 0 0 0 52 99 0 0 0 52 100 0 0 0 53 101 0 0 0 53 102 0 0 0 54 103 0 0 0 54 104 0 0 0 55 105 0 0 0 55 106 0 0 0 56 57 0 0 0 56 107 0 0 0 56 108 0 0 0 57 109 0 0 0 57 110 0 0 0 58 85 0 0 0 58 111 0 0 0 59 60 0 0 0 59 99 0 1 0 59 108 0 0 0 60 100 0 1 0 60 112 0 0 0 61 113 0 0 0 61 114 0 0 0 62 76 0 0 0 62 91 0 0 0 62 115 0 0 0 63 64 0 0 0 63 110 0 0 0 63 116 0 0 0 64 112 0 0 0 64 117 0 0 0 65 86 0 0 1 65 114 0 0 0 66 67 0 0 0 66 118 0 0 0 66 119 0 0 0 67 109 1 0 0 67 120 0 0 0 68 69 0 0 0 68 103 0 1 0 68 119 0 0 0 69 104 0 1 0 69 121 0 0 0 70 79 0 0 0 70 98 0 0 0 70 115 1 0 0 71 72 0 0 0 71 116 1 0 0 71 120 0 0 0 72 121 0 0 0 72 122 0 0 0 73 94 0 0 1 73 114 0 0 0 74 75 0 0 0 74 123 0 0 0 74 124 0 0 0 75 125 0 0 0 75 126 0 0 0 76 101 0 0 0 76 127 0 0 0 77 78 0 0 0 77 124 0 0 0 77 128 0 0 0 78 129 0 0 0 78 130 0 0 0 79 105 0 0 0 79 131 0 0 0 80 81 0 0 0 80 126 0 0 0 80 132 0 0 0 81 129 0 0 0 81 133 0 0 0 82 114 0 0 -1 82 134 0 0 0 83 84 0 0 0 83 123 0 1 -1 83 135 0 0 0 84 124 0 1 -1 84 136 0 0 0 85 137 0 0 0 86 117 0 0 -1 86 130 0 0 -1 87 135 0 0 0 87 138 0 0 0 87 139 0 0 0 88 99 0 0 0 88 130 0 0 -1 88 140 0 0 0 89 91 0 0 0 89 101 0 0 0 89 141 0 0 0 90 109 0 0 0 90 139 0 0 0 91 98 -1 0 0 92 93 0 0 0 92 125 0 1 -1 92 142 0 0 0 93 126 0 1 -1 93 143 0 0 0 94 122 0 0 -1 94 133 0 0 -1 95 139 1 0 0 95 142 0 0 0 95 144 0 0 0 96 103 0 0 0 96 133 0 0 -1 96 145 0 0 0 97 98 0 0 0 97 105 0 0 0 97 141 1 0 0 99 111 0 -1 0 100 102 0 0 0 100 113 0 -1 0 101 146 0 0 0 102 123 0 0 0 102 147 0 0 0 103 111 0 -1 0 104 106 0 0 0 104 113 0 -1 0 105 148 0 0 0 106 125 0 0 0 106 149 0 0 0 107 136 0 0 0 107 150 0 0 0 107 151 0 0 0 108 140 0 1 0 108 152 0 0 0 109 150 0 0 0 110 120 -1 0 0 110 152 0 0 0 111 129 0 1 -1 112 152 0 0 0 112 153 0 0 0 113 134 0 0 1 115 116 0 0 0 115 154 0 0 0 116 155 0 0 0 117 138 0 0 1 117 155 0 0 0 118 143 0 0 0 118 150 1 0 0 118 156 0 0 0 119 145 0 1 0 119 157 0 0 0 120 157 0 0 0 121 157 0 0 0 121 158 0 0 0 122 144 0 0 1 122 155 1 0 0 123 134 0 -1 1 124 137 0 -1 1 125 134 0 -1 1 126 137 0 -1 1 127 128 0 0 0 127 154 0 0 0 127 159 0 0 0 128 136 0 -1 1 128 160 0 0 0 129 137 0 -1 1 130 160 0 0 0 131 132 0 0 0 131 154 1 0 0 131 161 0 0 0 132 143 0 -1 1 132 162 0 0 0 133 162 0 0 0 135 147 0 1 -1 135 163 0 0 0 136 163 0 0 0 138 144 -1 0 0 138 153 0 0 -1 139 164 0 0 0 140 151 0 -1 0 140 165 0 0 0 141 165 0 0 0 141 166 0 0 0 142 149 0 1 -1 142 167 0 0 0 143 167 0 0 0 144 158 0 0 -1 145 156 0 -1 0 145 165 1 0 0 146 147 0 0 0 146 159 0 0 0 146 166 0 0 0 147 153 0 -1 0 148 149 0 0 0 148 161 0 0 0 148 166 1 0 0 149 158 0 -1 0 150 164 0 0 0 151 156 -1 0 0 151 160 0 1 -1 152 168 0 0 0 153 169 0 0 0 154 170 0 0 0 155 170 0 0 0 156 162 0 1 -1 157 168 1 0 0 158 169 1 0 0 159 161 -1 0 0 159 163 0 -1 1 160 170 0 0 0 161 167 0 -1 1 162 170 1 0 0 163 164 0 0 0 164 167 -1 0 0 165 168 0 -1 0 166 169 0 -1 0 168 169 0 0 0
(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
262c0854dbca89dddc5db81d2ec19e75 (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: 170 of 170 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. 170 of 170 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 P63/mcm, 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 15.5.5.5.5.64 12 25 45 74 106 143 182 231 287
1 4 15.5.5.5.5.64 12 25 45 74 106 143 182 231 287
2 4 15.5.5.5.5.64 12 25 45 74 106 143 182 231 287
3 4 15.5.5.5.5.64 12 25 45 74 106 143 182 231 287
4 4 15.5.5.5.5.64 12 25 45 74 106 143 182 231 287
5 4 15.5.5.5.5.64 12 25 45 74 106 143 182 231 287
6 4 15.5.5.5.5.64 12 25 45 74 106 143 182 231 287
7 4 15.5.5.5.5.64 12 25 45 74 106 143 182 231 287
8 4 15.5.5.5.5.64 12 25 45 74 106 143 182 231 287
9 4 15.5.5.5.5.64 12 25 45 74 106 143 182 231 287
10 4 15.5.5.5.5.64 12 25 45 74 106 143 182 231 287
11 4 15.5.5.5.5.64 12 25 45 74 106 143 182 231 287
12 4 15.5.5.5.5.64 12 25 45 74 106 143 182 231 287
13 4 15.5.5.5.5.64 12 25 45 74 106 143 182 231 287
14 4 15.5.5.5.5.64 12 25 45 74 106 143 182 231 287
15 4 15.5.5.5.5.64 12 25 45 74 106 143 182 231 287
16 4 15.5.5.5.5.64 12 25 45 74 106 143 182 231 287
17 4 15.5.5.5.5.64 12 25 45 74 106 143 182 231 287
18 4 15.5.5.5.5.64 12 25 45 74 106 143 182 231 287
19 4 15.5.5.5.5.64 12 25 45 74 106 143 182 231 287
20 4 15.5.5.5.5.64 12 25 45 74 106 143 182 231 287
21 4 15.5.5.5.5.64 12 25 45 74 106 143 182 231 287
22 4 15.5.5.5.5.64 12 25 45 74 106 143 182 231 287
23 4 15.5.5.5.5.64 12 25 45 74 106 143 182 231 287
24 4 m5.5.5.5.6.64 12 26 44 71 108 140 179 230 284
25 4 m5.5.5.5.6.64 12 26 44 71 108 140 179 230 284
26 4 m5.5.5.5.6.64 12 26 44 71 108 140 179 230 284
27 4 m5.5.5.5.6.64 12 26 44 71 108 140 179 230 284
28 4 m5.5.5.5.6.64 12 26 44 71 108 140 179 230 284
29 4 m5.5.5.5.6.64 12 26 44 71 108 140 179 230 284
30 4 m5.5.5.5.6.64 12 26 44 71 108 140 179 230 284
31 4 m5.5.5.5.6.64 12 26 44 71 108 140 179 230 284
32 4 m5.5.5.5.6.64 12 26 44 71 108 140 179 230 284
33 4 m5.5.5.5.6.64 12 26 44 71 108 140 179 230 284
34 4 m5.5.5.5.6.64 12 26 44 71 108 140 179 230 284
35 4 m5.5.5.5.6.64 12 26 44 71 108 140 179 230 284
36 4 25.5.5.6.6.64 12 27 50 80 114 150 188 224 272
37 4 25.5.5.6.6.64 12 27 50 80 114 150 188 224 272
38 4 25.5.5.6.6.64 12 27 50 80 114 150 188 224 272
39 4 25.5.5.6.6.64 12 27 50 80 114 150 188 224 272
40 4 25.5.5.6.6.64 12 27 50 80 114 150 188 224 272
41 4 25.5.5.6.6.64 12 27 50 80 114 150 188 224 272
42 4 25.5.5.6.6.64 12 27 50 80 114 150 188 224 272
43 4 25.5.5.6.6.64 12 27 50 80 114 150 188 224 272
44 4 25.5.5.6.6.64 12 27 50 80 114 150 188 224 272
45 4 25.5.5.6.6.64 12 27 50 80 114 150 188 224 272
46 4 25.5.5.6.6.64 12 27 50 80 114 150 188 224 272
47 4 25.5.5.6.6.64 12 27 50 80 114 150 188 224 272
48 4 m5.5.5.5.5.64 12 25 40 65 98 127 176 235 278
49 4 m5.5.5.5.5.64 12 25 40 65 98 127 176 235 278
50 4 m5.5.5.5.5.64 12 25 40 65 98 127 176 235 278
51 4 m5.5.5.5.5.64 12 25 40 65 98 127 176 235 278
52 4 m5.5.5.5.5.64 12 25 40 65 98 127 176 235 278
53 4 m5.5.5.5.5.64 12 25 40 65 98 127 176 235 278
54 4 m5.5.5.5.5.64 12 25 40 65 98 127 176 235 278
55 4 m5.5.5.5.5.64 12 25 40 65 98 127 176 235 278
56 4 m5.5.5.5.5.64 12 25 40 65 98 127 176 235 278
57 4 m5.5.5.5.5.64 12 25 40 65 98 127 176 235 278
58 4 m5.5.5.5.5.64 12 25 40 65 98 127 176 235 278
59 4 m5.5.5.5.5.64 12 25 40 65 98 127 176 235 278
60 4 35.5.5.5.5.54 12 24 36 58 92 124 159 228 292
61 4 35.5.5.5.5.54 12 24 36 58 92 124 159 228 292
62 4 35.5.5.5.5.54 12 24 36 58 92 124 159 228 292
63 4 35.5.5.5.5.54 12 24 36 58 92 124 159 228 292
64 4 35.5.5.5.5.54 12 24 36 58 92 124 159 228 292
65 4 35.5.5.5.5.54 12 24 36 58 92 124 159 228 292
66 4 35.5.5.5.5.54 12 24 36 58 92 124 159 228 292
67 4 35.5.5.5.5.54 12 24 36 58 92 124 159 228 292
68 4 m5.5.5.5.5.54 12 24 40 62 89 132 176 222 282
69 4 m5.5.5.5.5.54 12 24 40 62 89 132 176 222 282
70 4 m5.5.5.5.5.54 12 24 40 62 89 132 176 222 282
71 4 m5.5.5.5.5.54 12 24 40 62 89 132 176 222 282
72 4 m5.5.5.5.5.54 12 24 40 62 89 132 176 222 282
73 4 m5.5.5.5.5.54 12 24 40 62 89 132 176 222 282
74 4 m5.5.5.5.5.54 12 24 40 62 89 132 176 222 282
75 4 m5.5.5.5.5.54 12 24 40 62 89 132 176 222 282
76 4 m5.5.5.5.5.54 12 24 40 62 89 132 176 222 282
77 4 m5.5.5.5.5.54 12 24 40 62 89 132 176 222 282
78 4 m5.5.5.5.5.54 12 24 40 62 89 132 176 222 282
79 4 m5.5.5.5.5.54 12 24 40 62 89 132 176 222 282
80 4 m5.5.5.5.5.54 12 24 43 73 107 139 182 229 292
81 4 m5.5.5.5.5.54 12 24 43 73 107 139 182 229 292
82 4 m5.5.5.5.5.54 12 24 43 73 107 139 182 229 292
83 4 m5.5.5.5.5.54 12 24 43 73 107 139 182 229 292
84 4 m5.5.5.5.5.54 12 24 43 73 107 139 182 229 292
85 4 m5.5.5.5.5.54 12 24 43 73 107 139 182 229 292
86 4 m5.5.5.5.5.54 12 24 43 73 107 139 182 229 292
87 4 m5.5.5.5.5.54 12 24 43 73 107 139 182 229 292
88 4 m5.5.5.5.5.54 12 24 43 73 107 139 182 229 292
89 4 m5.5.5.5.5.54 12 24 43 73 107 139 182 229 292
90 4 m5.5.5.5.5.54 12 24 43 73 107 139 182 229 292
91 4 m5.5.5.5.5.54 12 24 43 73 107 139 182 229 292
92 4 15.5.5.5.5.64 12 25 40 60 89 132 173 221 284
93 4 15.5.5.5.5.64 12 25 40 60 89 132 173 221 284
94 4 15.5.5.5.5.64 12 25 40 60 89 132 173 221 284
95 4 15.5.5.5.5.64 12 25 40 60 89 132 173 221 284
96 4 15.5.5.5.5.64 12 25 40 60 89 132 173 221 284
97 4 15.5.5.5.5.64 12 25 40 60 89 132 173 221 284
98 4 15.5.5.5.5.64 12 25 40 60 89 132 173 221 284
99 4 15.5.5.5.5.64 12 25 40 60 89 132 173 221 284
100 4 15.5.5.5.5.64 12 25 40 60 89 132 173 221 284
101 4 15.5.5.5.5.64 12 25 40 60 89 132 173 221 284
102 4 15.5.5.5.5.64 12 25 40 60 89 132 173 221 284
103 4 15.5.5.5.5.64 12 25 40 60 89 132 173 221 284
104 4 15.5.5.5.5.64 12 25 40 60 89 132 173 221 284
105 4 15.5.5.5.5.64 12 25 40 60 89 132 173 221 284
106 4 15.5.5.5.5.64 12 25 40 60 89 132 173 221 284
107 4 15.5.5.5.5.64 12 25 40 60 89 132 173 221 284
108 4 15.5.5.5.5.64 12 25 40 60 89 132 173 221 284
109 4 15.5.5.5.5.64 12 25 40 60 89 132 173 221 284
110 4 15.5.5.5.5.64 12 25 40 60 89 132 173 221 284
111 4 15.5.5.5.5.64 12 25 40 60 89 132 173 221 284
112 4 15.5.5.5.5.64 12 25 40 60 89 132 173 221 284
113 4 15.5.5.5.5.64 12 25 40 60 89 132 173 221 284
114 4 15.5.5.5.5.64 12 25 40 60 89 132 173 221 284
115 4 15.5.5.5.5.64 12 25 40 60 89 132 173 221 284
116 4 15.5.5.5.5.54 12 24 40 65 95 127 175 238 287
117 4 15.5.5.5.5.54 12 24 40 65 95 127 175 238 287
118 4 15.5.5.5.5.54 12 24 40 65 95 127 175 238 287
119 4 15.5.5.5.5.54 12 24 40 65 95 127 175 238 287
120 4 15.5.5.5.5.54 12 24 40 65 95 127 175 238 287
121 4 15.5.5.5.5.54 12 24 40 65 95 127 175 238 287
122 4 15.5.5.5.5.54 12 24 40 65 95 127 175 238 287
123 4 15.5.5.5.5.54 12 24 40 65 95 127 175 238 287
124 4 15.5.5.5.5.54 12 24 40 65 95 127 175 238 287
125 4 15.5.5.5.5.54 12 24 40 65 95 127 175 238 287
126 4 15.5.5.5.5.54 12 24 40 65 95 127 175 238 287
127 4 15.5.5.5.5.54 12 24 40 65 95 127 175 238 287
128 4 15.5.5.5.5.54 12 24 40 65 95 127 175 238 287
129 4 15.5.5.5.5.54 12 24 40 65 95 127 175 238 287
130 4 15.5.5.5.5.54 12 24 40 65 95 127 175 238 287
131 4 15.5.5.5.5.54 12 24 40 65 95 127 175 238 287
132 4 15.5.5.5.5.54 12 24 40 65 95 127 175 238 287
133 4 15.5.5.5.5.54 12 24 40 65 95 127 175 238 287
134 4 15.5.5.5.5.54 12 24 40 65 95 127 175 238 287
135 4 15.5.5.5.5.54 12 24 40 65 95 127 175 238 287
136 4 15.5.5.5.5.54 12 24 40 65 95 127 175 238 287
137 4 15.5.5.5.5.54 12 24 40 65 95 127 175 238 287
138 4 15.5.5.5.5.54 12 24 40 65 95 127 175 238 287
139 4 15.5.5.5.5.54 12 24 40 65 95 127 175 238 287
140 4 15.5.5.5.5.54 12 24 38 61 90 123 176 224 284
141 4 15.5.5.5.5.54 12 24 38 61 90 123 176 224 284
142 4 15.5.5.5.5.54 12 24 38 61 90 123 176 224 284
143 4 15.5.5.5.5.54 12 24 38 61 90 123 176 224 284
144 4 15.5.5.5.5.54 12 24 38 61 90 123 176 224 284
145 4 15.5.5.5.5.54 12 24 38 61 90 123 176 224 284
146 4 15.5.5.5.5.54 12 24 38 61 90 123 176 224 284
147 4 15.5.5.5.5.54 12 24 38 61 90 123 176 224 284
148 4 15.5.5.5.5.54 12 24 38 61 90 123 176 224 284
149 4 15.5.5.5.5.54 12 24 38 61 90 123 176 224 284
150 4 15.5.5.5.5.54 12 24 38 61 90 123 176 224 284
151 4 15.5.5.5.5.54 12 24 38 61 90 123 176 224 284
152 4 15.5.5.5.5.54 12 24 38 61 90 123 176 224 284
153 4 15.5.5.5.5.54 12 24 38 61 90 123 176 224 284
154 4 15.5.5.5.5.54 12 24 38 61 90 123 176 224 284
155 4 15.5.5.5.5.54 12 24 38 61 90 123 176 224 284
156 4 15.5.5.5.5.54 12 24 38 61 90 123 176 224 284
157 4 15.5.5.5.5.54 12 24 38 61 90 123 176 224 284
158 4 15.5.5.5.5.54 12 24 38 61 90 123 176 224 284
159 4 15.5.5.5.5.54 12 24 38 61 90 123 176 224 284
160 4 15.5.5.5.5.54 12 24 38 61 90 123 176 224 284
161 4 15.5.5.5.5.54 12 24 38 61 90 123 176 224 284
162 4 15.5.5.5.5.54 12 24 38 61 90 123 176 224 284
163 4 15.5.5.5.5.54 12 24 38 61 90 123 176 224 284
164 4 mm25.5.5.5.5.54 12 24 40 62 90 132 178 222 286
165 4 mm25.5.5.5.5.54 12 24 40 62 90 132 178 222 286
166 4 mm25.5.5.5.5.54 12 24 40 62 90 132 178 222 286
167 4 mm25.5.5.5.5.54 12 24 40 62 90 132 178 222 286
168 4 mm25.5.5.5.5.54 12 24 40 62 90 132 178 222 286
169 4 mm25.5.5.5.5.54 12 24 40 62 90 132 178 222 286

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)
P63/mcm (No. 193)
Transitivity p, q (mofplus-deposit)
11, 20 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)
24
Repeat-unit factor (mofplus-deposit)
1
RCSR identification (mofplus-deposit)
odl
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 26 0 0 0 10 27 0 0 0 11 16 0 0 0 11 28 0 0 0 11 29 0 0 0 12 30 0 0 0 12 31 0 0 0 13 32 0 0 0 13 33 0 0 0 14 17 0 0 0 14 34 0 0 0 14 35 0 0 0 15 36 0 0 0 15 37 0 0 0 16 38 0 0 0 16 39 0 0 0 17 40 0 0 0 17 41 0 0 0 18 20 0 0 0 18 42 0 0 0 18 43 0 0 0 19 44 0 0 0 19 45 0 0 0 19 46 0 0 0 20 47 0 0 0 20 48 0 0 0 21 49 0 0 0 21 50 0 0 0 21 51 0 0 0 22 45 0 0 0 22 52 0 0 0 22 53 0 0 0 23 50 0 0 0 23 54 0 0 0 23 55 0 0 0 24 26 0 0 0 24 43 0 0 0 24 56 0 0 0 25 28 0 0 0 25 46 0 0 0 25 57 0 0 0 26 58 0 0 0 26 59 0 0 0 27 29 0 0 0 27 60 0 0 0 27 61 0 0 0 28 62 0 0 0 28 63 0 0 0 29 64 0 0 0 29 65 0 0 0 30 32 0 0 0 30 48 0 0 0 30 66 0 0 0 31 34 0 0 0 31 51 0 0 0 31 67 0 0 0 32 58 0 0 0 32 68 0 0 0 33 35 0 0 0 33 61 0 0 0 33 69 0 0 0 34 70 0 0 0 34 71 0 0 0 35 72 0 0 0 35 73 0 0 0 36 38 0 0 0 36 53 0 0 0 36 74 0 0 0 37 40 0 0 0 37 55 0 0 0 37 75 0 0 0 38 76 0 0 0 38 77 0 0 0 39 41 0 0 0 39 65 0 0 0 39 78 0 0 0 40 79 0 0 0 40 80 0 0 0 41 73 0 0 0 41 81 0 0 0 42 44 0 0 0 42 82 0 0 0 42 83 0 0 0 43 84 0 0 0 43 85 0 0 0 44 86 0 0 0 44 87 0 0 0 45 88 0 0 0 45 89 0 0 0 46 90 0 0 0 46 91 0 0 0 47 49 0 0 0 47 82 0 0 0 47 92 0 0 0 48 85 0 0 0 48 93 0 0 0 49 94 0 0 0 49 95 0 0 0 50 96 0 0 0 50 97 0 0 0 51 90 1 0 0 51 98 0 0 0 52 54 0 0 0 52 99 0 0 0 52 100 0 0 0 53 101 0 0 0 53 102 0 0 0 54 103 0 0 0 54 104 0 0 0 55 105 0 0 0 55 106 0 0 0 56 57 0 0 0 56 107 0 0 0 56 108 0 0 0 57 109 0 0 0 57 110 0 0 0 58 85 0 0 0 58 111 0 0 0 59 60 0 0 0 59 99 0 1 0 59 108 0 0 0 60 100 0 1 0 60 112 0 0 0 61 113 0 0 0 61 114 0 0 0 62 76 0 0 0 62 91 0 0 0 62 115 0 0 0 63 64 0 0 0 63 110 0 0 0 63 116 0 0 0 64 112 0 0 0 64 117 0 0 0 65 86 0 0 1 65 114 0 0 0 66 67 0 0 0 66 118 0 0 0 66 119 0 0 0 67 109 1 0 0 67 120 0 0 0 68 69 0 0 0 68 103 0 1 0 68 119 0 0 0 69 104 0 1 0 69 121 0 0 0 70 79 0 0 0 70 98 0 0 0 70 115 1 0 0 71 72 0 0 0 71 116 1 0 0 71 120 0 0 0 72 121 0 0 0 72 122 0 0 0 73 94 0 0 1 73 114 0 0 0 74 75 0 0 0 74 123 0 0 0 74 124 0 0 0 75 125 0 0 0 75 126 0 0 0 76 101 0 0 0 76 127 0 0 0 77 78 0 0 0 77 124 0 0 0 77 128 0 0 0 78 129 0 0 0 78 130 0 0 0 79 105 0 0 0 79 131 0 0 0 80 81 0 0 0 80 126 0 0 0 80 132 0 0 0 81 129 0 0 0 81 133 0 0 0 82 114 0 0 -1 82 134 0 0 0 83 84 0 0 0 83 123 0 1 -1 83 135 0 0 0 84 124 0 1 -1 84 136 0 0 0 85 137 0 0 0 86 117 0 0 -1 86 130 0 0 -1 87 135 0 0 0 87 138 0 0 0 87 139 0 0 0 88 99 0 0 0 88 130 0 0 -1 88 140 0 0 0 89 91 0 0 0 89 101 0 0 0 89 141 0 0 0 90 109 0 0 0 90 139 0 0 0 91 98 -1 0 0 92 93 0 0 0 92 125 0 1 -1 92 142 0 0 0 93 126 0 1 -1 93 143 0 0 0 94 122 0 0 -1 94 133 0 0 -1 95 139 1 0 0 95 142 0 0 0 95 144 0 0 0 96 103 0 0 0 96 133 0 0 -1 96 145 0 0 0 97 98 0 0 0 97 105 0 0 0 97 141 1 0 0 99 111 0 -1 0 100 102 0 0 0 100 113 0 -1 0 101 146 0 0 0 102 123 0 0 0 102 147 0 0 0 103 111 0 -1 0 104 106 0 0 0 104 113 0 -1 0 105 148 0 0 0 106 125 0 0 0 106 149 0 0 0 107 136 0 0 0 107 150 0 0 0 107 151 0 0 0 108 140 0 1 0 108 152 0 0 0 109 150 0 0 0 110 120 -1 0 0 110 152 0 0 0 111 129 0 1 -1 112 152 0 0 0 112 153 0 0 0 113 134 0 0 1 115 116 0 0 0 115 154 0 0 0 116 155 0 0 0 117 138 0 0 1 117 155 0 0 0 118 143 0 0 0 118 150 1 0 0 118 156 0 0 0 119 145 0 1 0 119 157 0 0 0 120 157 0 0 0 121 157 0 0 0 121 158 0 0 0 122 144 0 0 1 122 155 1 0 0 123 134 0 -1 1 124 137 0 -1 1 125 134 0 -1 1 126 137 0 -1 1 127 128 0 0 0 127 154 0 0 0 127 159 0 0 0 128 136 0 -1 1 128 160 0 0 0 129 137 0 -1 1 130 160 0 0 0 131 132 0 0 0 131 154 1 0 0 131 161 0 0 0 132 143 0 -1 1 132 162 0 0 0 133 162 0 0 0 135 147 0 1 -1 135 163 0 0 0 136 163 0 0 0 138 144 -1 0 0 138 153 0 0 -1 139 164 0 0 0 140 151 0 -1 0 140 165 0 0 0 141 165 0 0 0 141 166 0 0 0 142 149 0 1 -1 142 167 0 0 0 143 167 0 0 0 144 158 0 0 -1 145 156 0 -1 0 145 165 1 0 0 146 147 0 0 0 146 159 0 0 0 146 166 0 0 0 147 153 0 -1 0 148 149 0 0 0 148 161 0 0 0 148 166 1 0 0 149 158 0 -1 0 150 164 0 0 0 151 156 -1 0 0 151 160 0 1 -1 152 168 0 0 0 153 169 0 0 0 154 170 0 0 0 155 170 0 0 0 156 162 0 1 -1 157 168 1 0 0 158 169 1 0 0 159 161 -1 0 0 159 163 0 -1 1 160 170 0 0 0 161 167 0 -1 1 162 170 1 0 0 163 164 0 0 0 164 167 -1 0 0 165 168 0 -1 0 166 169 0 -1 0 168 169 0 0 0
Key against the archive (mofplus-deposit)
the same key, character for character
TD10 as Systre prints it (mofplus-deposit)
1070
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)
1069.8470588235293
Genus (mofplus-deposit)
171
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)
1069.8470588235293
Genus (rcsr-archive-key)
171
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)
(5^3.6^3)6(5^4.6^2)6(5^5.6)30(5^6)43
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, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 235.5.5.5.5.6 5.5.5.5.5.6 5^5.6 4 12 25 45 74 106 143 182 231 287
24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 355.5.5.5.6.6 5.5.5.5.6.6 5^4.6^2 4 12 26 44 71 108 140 179 230 284
36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 475.5.5.6.6.6 5.5.5.6.6.6 5^3.6^3 4 12 27 50 80 114 150 188 224 272
48, 49, 50, 51, 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 40 65 98 127 176 235 278
60, 61, 62, 63, 64, 65, 66, 675.5.5.5.5.5 5.5.5.5.5.5 5^6 4 12 24 36 58 92 124 159 228 292
68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 795.5.5.5.5.5 5.5.5.5.5.5 5^6 4 12 24 40 62 89 132 176 222 282
80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 915.5.5.5.5.5 5.5.5.5.5.5 5^6 4 12 24 43 73 107 139 182 229 292
92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 1155.5.5.5.5.6 5.5.5.5.5.6 5^5.6 4 12 25 40 60 89 132 173 221 284
116, 117, 118, 119, 120, 121, 122, 123, 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 40 65 95 127 175 238 287
140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 1635.5.5.5.5.5 5.5.5.5.5.5 5^6 4 12 24 38 61 90 123 176 224 284
164, 165, 166, 167, 168, 1695.5.5.5.5.5 5.5.5.5.5.5 5^6 4 12 24 40 62 90 132 178 222 286

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

Net point symbol (rcsr-archive-key)
(5^3.6^3)6(5^4.6^2)6(5^5.6)30(5^6)43
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, 14, 57, 60, 108, 115, 133, 136, 153, 163, 165, 1675.5.5.5.5.5 5.5.5.5.5.5 5^6 4 12 24 40 62 89 132 176 222 282
1, 7, 81, 89, 110, 113, 128, 138, 140, 154, 164, 1695.5.5.5.6.6 5.5.5.5.6.6 5^4.6^2 4 12 26 44 71 108 140 179 230 284
2, 3, 25, 26, 31, 32, 35, 36, 56, 62, 66, 70, 122, 123, 124, 125, 126, 130, 145, 147, 151, 156, 162, 1665.5.5.5.5.5 5.5.5.5.5.5 5^6 4 12 24 38 61 90 123 176 224 284
4, 84, 112, 114, 149, 1685.5.5.5.5.5 5.5.5.5.5.5 5^6 4 12 24 40 62 90 132 178 222 286
5, 6, 21, 22, 41, 45, 46, 50, 64, 72, 77, 80, 86, 88, 94, 96, 98, 102, 116, 121, 139, 144, 159, 1615.5.5.5.5.6 5.5.5.5.5.6 5^5.6 4 12 25 45 74 106 143 182 231 287
8, 11, 24, 28, 30, 34, 52, 54, 58, 63, 67, 71, 76, 79, 82, 91, 100, 104, 107, 118, 127, 131, 134, 1415.5.5.5.5.5 5.5.5.5.5.5 5^6 4 12 24 40 65 95 127 175 238 287
9, 12, 73, 74, 109, 119, 158, 1605.5.5.5.5.5 5.5.5.5.5.5 5^6 4 12 24 36 58 92 124 159 228 292
10, 13, 23, 27, 29, 33, 37, 39, 55, 59, 65, 68, 75, 78, 83, 92, 101, 105, 111, 120, 135, 142, 146, 1485.5.5.5.5.6 5.5.5.5.5.6 5^5.6 4 12 25 40 60 89 132 173 221 284
15, 16, 42, 47, 61, 69, 99, 103, 106, 117, 152, 1575.5.5.5.5.6 5.5.5.5.5.6 5^5.6 4 12 25 40 65 98 127 176 235 278
17, 19, 38, 40, 51, 53, 90, 97, 137, 143, 150, 1555.5.5.5.5.5 5.5.5.5.5.5 5^6 4 12 24 43 73 107 139 182 229 292
18, 20, 43, 44, 48, 49, 85, 87, 93, 95, 129, 1325.5.5.6.6.6 5.5.5.6.6.6 5^3.6^3 4 12 27 50 80 114 150 188 224 272

Cross-checks

Name against the computed key
corroborated-by-systre-key
Stored symbols against the computed ones
corroborated: 170 of 170 vertex rows agree with mofpp.rings v2 (mofplus-deposit).
Stored sequences against the computed ones
corroborated: 170 of 170 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
odl
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
1494 (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
2297 The order the ingest processed this net in, simplest first. A different number from the RCSR index above, meaning a different thing.