Net topology

muh

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

148 vertices and 296 edges in the unit cell. 90 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/mmc (No. 194)
Cell lengths: a = 4.3207 Å, b = 4.3207 Å, c = 15.8962 Å
Cell angles: α = 90.00°, β = 90.00°, γ = 120.00°
Atoms in cell: 148
Transitivity pqrs: 13, 21, *, *
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 23 1 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 25 0 1 0 12 30 0 0 0 13 22 1 1 0 13 26 0 0 0 13 31 0 0 0 14 17 0 0 0 14 28 0 1 0 14 32 0 0 0 15 27 -1 0 0 15 31 -1 -1 0 16 33 0 0 0 16 34 0 0 0 17 35 0 0 0 17 36 0 0 0 18 20 0 0 0 18 37 0 0 0 18 38 0 0 0 19 22 0 0 0 19 39 0 0 0 19 40 0 0 0 20 41 0 0 0 20 42 0 0 0 21 23 0 0 0 21 40 0 1 0 21 43 0 0 0 22 30 -1 -1 0 23 24 -1 0 0 24 30 0 -1 0 24 38 0 0 0 25 28 0 0 0 25 40 0 0 0 26 40 1 1 0 26 44 0 0 0 27 29 0 0 0 27 35 1 0 0 28 44 -1 -1 0 29 32 0 -1 0 29 45 0 0 0 30 42 0 0 0 31 32 0 0 0 31 33 1 1 0 32 46 0 0 0 33 44 -1 -1 0 33 47 0 0 0 34 45 0 0 0 34 48 0 0 0 34 49 0 0 0 35 44 -1 0 0 35 50 0 0 0 36 46 0 0 0 36 49 0 0 0 36 51 0 0 0 37 52 0 0 0 37 53 0 0 0 37 54 0 0 0 38 43 1 0 0 38 55 0 0 0 39 42 -1 -1 0 39 43 0 -1 0 39 54 0 0 0 41 52 0 0 0 41 56 0 0 0 41 57 0 0 0 42 58 0 0 0 43 57 0 0 0 45 59 0 0 0 45 60 0 0 0 46 59 0 1 0 46 61 0 0 0 47 48 0 0 0 47 50 0 -1 0 47 61 -1 -1 0 48 62 0 0 0 48 63 0 0 0 49 64 0 0 0 49 65 0 0 0 50 51 0 0 0 50 60 -1 0 0 51 62 0 1 0 51 66 0 0 0 52 67 0 0 0 52 68 0 0 0 53 55 0 0 0 53 69 0 0 0 53 70 0 0 0 54 71 0 0 0 54 72 0 0 0 55 58 0 -1 0 55 73 0 0 0 56 58 0 0 0 56 70 0 1 0 56 74 0 0 0 57 72 0 1 0 57 73 -1 0 0 58 71 1 1 0 59 62 0 0 0 59 75 0 0 0 60 64 0 0 0 60 76 0 0 0 61 64 0 0 0 61 77 0 0 0 62 78 0 0 0 63 65 0 0 0 63 77 -1 -1 0 63 79 0 0 0 64 80 0 0 0 65 66 0 0 0 65 81 0 0 0 66 76 -1 0 0 66 82 0 0 0 67 69 0 0 0 67 74 0 0 0 67 83 0 0 0 68 71 0 0 0 68 73 -1 0 0 68 84 0 0 0 69 85 0 0 0 69 86 0 0 0 70 72 0 0 0 70 87 0 0 0 71 88 0 0 0 72 89 0 0 0 73 86 0 0 0 74 88 1 1 0 74 90 0 0 0 75 76 0 0 0 75 77 0 -1 0 75 91 0 0 0 76 92 0 0 0 77 93 0 0 0 78 79 0 0 0 78 82 0 -1 0 78 91 0 0 0 79 94 0 0 0 79 95 0 0 0 80 81 0 0 0 80 92 0 0 0 80 93 0 0 0 81 95 0 0 0 81 96 0 0 0 82 96 0 0 0 82 97 0 0 0 83 84 0 0 0 83 98 0 0 0 83 99 0 0 0 84 100 0 0 0 84 101 0 0 0 85 87 0 0 0 85 98 0 0 0 85 102 0 0 0 86 89 1 1 0 86 101 1 0 0 87 90 0 -1 0 87 103 0 0 0 88 89 0 0 0 88 100 0 0 0 89 103 0 0 0 90 99 0 0 0 90 104 0 0 0 91 105 0 0 0 91 106 0 0 0 92 97 1 0 0 92 106 0 0 0 93 94 1 1 0 93 105 0 1 0 94 97 0 -1 0 94 107 0 0 0 95 106 0 0 0 95 108 0 0 0 96 105 0 1 0 96 109 0 0 0 97 110 0 0 0 98 111 0 0 0 98 112 0 0 0 99 113 0 0 0 99 114 0 0 0 100 104 -1 -1 0 100 112 0 0 0 101 102 -1 0 0 101 114 0 0 0 102 104 0 -1 0 102 115 0 0 0 103 112 0 0 0 103 114 0 -1 0 104 116 0 0 0 105 117 0 0 0 106 118 0 0 0 107 108 0 0 0 107 117 -1 0 0 107 119 0 0 0 108 109 0 0 0 108 120 0 0 0 109 110 0 0 0 109 121 0 0 0 110 118 -1 0 0 110 122 0 0 0 111 115 0 0 0 111 123 0 0 0 111 124 0 0 0 112 125 0 0 0 113 116 0 0 0 113 124 0 0 0 113 126 0 0 0 114 127 0 0 0 115 128 0 0 0 115 129 0 0 0 116 128 0 1 0 116 130 0 0 0 117 118 0 0 0 117 131 0 0 0 118 132 0 0 0 119 122 0 -1 0 119 133 0 0 0 119 134 0 0 0 120 132 0 0 0 120 134 0 0 0 120 135 0 0 0 121 131 0 1 0 121 135 0 0 0 121 136 0 0 0 122 136 0 0 0 122 137 0 0 0 123 125 0 0 0 123 138 0 0 0 123 139 0 0 0 124 140 0 0 0 124 141 0 0 0 125 127 0 -1 0 125 130 -1 -1 0 126 127 0 0 0 126 139 0 1 0 126 142 0 0 0 127 129 -1 0 0 128 139 0 0 0 128 143 0 0 0 129 141 0 0 0 129 144 0 0 0 130 141 0 0 0 130 145 0 0 0 131 133 1 0 0 131 146 0 0 0 132 137 1 0 0 132 146 0 0 0 133 145 0 0 1 133 147 0 0 0 134 138 1 1 1 134 148 0 0 0 135 140 1 1 1 135 147 1 1 0 136 142 1 1 1 136 148 0 1 0 137 144 0 1 1 137 147 0 1 0 138 140 0 0 0 138 145 -1 -1 0 139 148 -1 -1 -1 140 142 0 0 0 141 147 0 0 -1 142 144 -1 0 0 143 144 0 0 0 143 145 0 -1 0 143 146 -1 -1 -1 146 148 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: db3c75a1a75a8c8ccc9f55faa2815e1b (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: 148 of 148 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. 148 of 148 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/mmc, 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	3m	5.5.5.5.5.5	4 12 24 39 63 104 137 174 219 264
1	4	3m	5.5.5.5.5.5	4 12 24 39 63 104 137 174 219 264
2	4	3m	5.5.5.5.5.5	4 12 24 39 63 104 137 174 219 264
3	4	3m	5.5.5.5.5.5	4 12 24 39 63 104 137 174 219 264
4	4	3m	5.5.5.5.5.5	4 12 24 36 64 109 133 163 216 264
5	4	3m	5.5.5.5.5.5	4 12 24 36 64 109 133 163 216 264
6	4	3m	5.5.5.5.5.5	4 12 24 36 64 109 133 163 216 264
7	4	3m	5.5.5.5.5.5	4 12 24 36 64 109 133 163 216 264
8	4	3m	5.5.5.5.5.5	4 12 24 39 66 109 133 168 231 270
9	4	3m	5.5.5.5.5.5	4 12 24 39 66 109 133 168 231 270
10	4	3m	5.5.5.5.5.5	4 12 24 39 66 109 133 168 231 270
11	4	3m	5.5.5.5.5.5	4 12 24 39 66 109 133 168 231 270
12	4	3m	5.5.5.5.5.5	4 12 24 39 69 105 127 169 225 270
13	4	3m	5.5.5.5.5.5	4 12 24 39 69 105 127 169 225 270
14	4	3m	5.5.5.5.5.5	4 12 24 39 69 105 127 169 225 270
15	4	3m	5.5.5.5.5.5	4 12 24 39 69 105 127 169 225 270
16	4	m	5.5.5.5.6.6	4 12 26 46 72 102 136 180 232 284
17	4	m	5.5.5.5.6.6	4 12 26 46 72 102 136 180 232 284
18	4	m	5.5.5.5.6.6	4 12 26 46 72 102 136 180 232 284
19	4	m	5.5.5.5.6.6	4 12 26 46 72 102 136 180 232 284
20	4	m	5.5.5.5.6.6	4 12 26 46 72 102 136 180 232 284
21	4	m	5.5.5.5.6.6	4 12 26 46 72 102 136 180 232 284
22	4	m	5.5.5.5.6.6	4 12 26 46 72 102 136 180 232 284
23	4	m	5.5.5.5.6.6	4 12 26 46 72 102 136 180 232 284
24	4	m	5.5.5.5.6.6	4 12 26 46 72 102 136 180 232 284
25	4	m	5.5.5.5.6.6	4 12 26 46 72 102 136 180 232 284
26	4	m	5.5.5.5.6.6	4 12 26 46 72 102 136 180 232 284
27	4	m	5.5.5.5.6.6	4 12 26 46 72 102 136 180 232 284
28	4	m	5.5.5.5.5.6	4 12 25 41 67 95 130 178 224 272
29	4	m	5.5.5.5.5.6	4 12 25 41 67 95 130 178 224 272
30	4	m	5.5.5.5.5.6	4 12 25 41 67 95 130 178 224 272
31	4	m	5.5.5.5.5.6	4 12 25 41 67 95 130 178 224 272
32	4	m	5.5.5.5.5.6	4 12 25 41 67 95 130 178 224 272
33	4	m	5.5.5.5.5.6	4 12 25 41 67 95 130 178 224 272
34	4	m	5.5.5.5.5.6	4 12 25 41 67 95 130 178 224 272
35	4	m	5.5.5.5.5.6	4 12 25 41 67 95 130 178 224 272
36	4	m	5.5.5.5.5.6	4 12 25 41 67 95 130 178 224 272
37	4	m	5.5.5.5.5.6	4 12 25 41 67 95 130 178 224 272
38	4	m	5.5.5.5.5.6	4 12 25 41 67 95 130 178 224 272
39	4	m	5.5.5.5.5.6	4 12 25 41 67 95 130 178 224 272
40	4	m	5.5.5.5.5.6	4 12 25 42 63 96 133 176 222 269
41	4	m	5.5.5.5.5.6	4 12 25 42 63 96 133 176 222 269
42	4	m	5.5.5.5.5.6	4 12 25 42 63 96 133 176 222 269
43	4	m	5.5.5.5.5.6	4 12 25 42 63 96 133 176 222 269
44	4	m	5.5.5.5.5.6	4 12 25 42 63 96 133 176 222 269
45	4	m	5.5.5.5.5.6	4 12 25 42 63 96 133 176 222 269
46	4	m	5.5.5.5.5.6	4 12 25 42 63 96 133 176 222 269
47	4	m	5.5.5.5.5.6	4 12 25 42 63 96 133 176 222 269
48	4	m	5.5.5.5.5.6	4 12 25 42 63 96 133 176 222 269
49	4	m	5.5.5.5.5.6	4 12 25 42 63 96 133 176 222 269
50	4	m	5.5.5.5.5.6	4 12 25 42 63 96 133 176 222 269
51	4	m	5.5.5.5.5.6	4 12 25 42 63 96 133 176 222 269
52	4	m	5.5.5.5.5.5	4 12 24 40 68 100 133 175 223 274
53	4	m	5.5.5.5.5.5	4 12 24 40 68 100 133 175 223 274
54	4	m	5.5.5.5.5.5	4 12 24 40 68 100 133 175 223 274
55	4	m	5.5.5.5.5.5	4 12 24 40 68 100 133 175 223 274
56	4	m	5.5.5.5.5.5	4 12 24 40 68 100 133 175 223 274
57	4	m	5.5.5.5.5.5	4 12 24 40 68 100 133 175 223 274
58	4	m	5.5.5.5.5.5	4 12 24 40 68 100 133 175 223 274
59	4	m	5.5.5.5.5.5	4 12 24 40 68 100 133 175 223 274
60	4	m	5.5.5.5.5.5	4 12 24 40 68 100 133 175 223 274
61	4	m	5.5.5.5.5.5	4 12 24 40 68 100 133 175 223 274
62	4	m	5.5.5.5.5.5	4 12 24 40 68 100 133 175 223 274
63	4	m	5.5.5.5.5.5	4 12 24 40 68 100 133 175 223 274
64	4	m	5.5.5.5.5.5	4 12 24 40 69 96 133 179 222 266
65	4	m	5.5.5.5.5.5	4 12 24 40 69 96 133 179 222 266
66	4	m	5.5.5.5.5.5	4 12 24 40 69 96 133 179 222 266
67	4	m	5.5.5.5.5.5	4 12 24 40 69 96 133 179 222 266
68	4	m	5.5.5.5.5.5	4 12 24 40 69 96 133 179 222 266
69	4	m	5.5.5.5.5.5	4 12 24 40 69 96 133 179 222 266
70	4	m	5.5.5.5.5.5	4 12 24 40 69 96 133 179 222 266
71	4	m	5.5.5.5.5.5	4 12 24 40 69 96 133 179 222 266
72	4	m	5.5.5.5.5.5	4 12 24 40 69 96 133 179 222 266
73	4	m	5.5.5.5.5.5	4 12 24 40 69 96 133 179 222 266
74	4	m	5.5.5.5.5.5	4 12 24 40 69 96 133 179 222 266
75	4	m	5.5.5.5.5.5	4 12 24 40 69 96 133 179 222 266
76	4	m	5.5.5.5.5.6	4 12 25 43 66 95 133 172 220 276
77	4	m	5.5.5.5.5.6	4 12 25 43 66 95 133 172 220 276
78	4	m	5.5.5.5.5.6	4 12 25 43 66 95 133 172 220 276
79	4	m	5.5.5.5.5.6	4 12 25 43 66 95 133 172 220 276
80	4	m	5.5.5.5.5.6	4 12 25 43 66 95 133 172 220 276
81	4	m	5.5.5.5.5.6	4 12 25 43 66 95 133 172 220 276
82	4	m	5.5.5.5.5.6	4 12 25 43 66 95 133 172 220 276
83	4	m	5.5.5.5.5.6	4 12 25 43 66 95 133 172 220 276
84	4	m	5.5.5.5.5.6	4 12 25 43 66 95 133 172 220 276
85	4	m	5.5.5.5.5.6	4 12 25 43 66 95 133 172 220 276
86	4	m	5.5.5.5.5.6	4 12 25 43 66 95 133 172 220 276
87	4	m	5.5.5.5.5.6	4 12 25 43 66 95 133 172 220 276
88	4	m	5.5.5.5.5.5	4 12 24 39 65 99 130 166 213 274
89	4	m	5.5.5.5.5.5	4 12 24 39 65 99 130 166 213 274
90	4	m	5.5.5.5.5.5	4 12 24 39 65 99 130 166 213 274
91	4	m	5.5.5.5.5.5	4 12 24 39 65 99 130 166 213 274
92	4	m	5.5.5.5.5.5	4 12 24 39 65 99 130 166 213 274
93	4	m	5.5.5.5.5.5	4 12 24 39 65 99 130 166 213 274
94	4	m	5.5.5.5.5.5	4 12 24 39 65 99 130 166 213 274
95	4	m	5.5.5.5.5.5	4 12 24 39 65 99 130 166 213 274
96	4	m	5.5.5.5.5.5	4 12 24 39 65 99 130 166 213 274
97	4	m	5.5.5.5.5.5	4 12 24 39 65 99 130 166 213 274
98	4	m	5.5.5.5.5.5	4 12 24 39 65 99 130 166 213 274
99	4	m	5.5.5.5.5.5	4 12 24 39 65 99 130 166 213 274
100	4	1	5.5.5.5.5.6	4 12 25 44 69 98 136 181 224 277
101	4	1	5.5.5.5.5.6	4 12 25 44 69 98 136 181 224 277
102	4	1	5.5.5.5.5.6	4 12 25 44 69 98 136 181 224 277
103	4	1	5.5.5.5.5.6	4 12 25 44 69 98 136 181 224 277
104	4	1	5.5.5.5.5.6	4 12 25 44 69 98 136 181 224 277
105	4	1	5.5.5.5.5.6	4 12 25 44 69 98 136 181 224 277
106	4	1	5.5.5.5.5.6	4 12 25 44 69 98 136 181 224 277
107	4	1	5.5.5.5.5.6	4 12 25 44 69 98 136 181 224 277
108	4	1	5.5.5.5.5.6	4 12 25 44 69 98 136 181 224 277
109	4	1	5.5.5.5.5.6	4 12 25 44 69 98 136 181 224 277
110	4	1	5.5.5.5.5.6	4 12 25 44 69 98 136 181 224 277
111	4	1	5.5.5.5.5.6	4 12 25 44 69 98 136 181 224 277
112	4	1	5.5.5.5.5.6	4 12 25 44 69 98 136 181 224 277
113	4	1	5.5.5.5.5.6	4 12 25 44 69 98 136 181 224 277
114	4	1	5.5.5.5.5.6	4 12 25 44 69 98 136 181 224 277
115	4	1	5.5.5.5.5.6	4 12 25 44 69 98 136 181 224 277
116	4	1	5.5.5.5.5.6	4 12 25 44 69 98 136 181 224 277
117	4	1	5.5.5.5.5.6	4 12 25 44 69 98 136 181 224 277
118	4	1	5.5.5.5.5.6	4 12 25 44 69 98 136 181 224 277
119	4	1	5.5.5.5.5.6	4 12 25 44 69 98 136 181 224 277
120	4	1	5.5.5.5.5.6	4 12 25 44 69 98 136 181 224 277
121	4	1	5.5.5.5.5.6	4 12 25 44 69 98 136 181 224 277
122	4	1	5.5.5.5.5.6	4 12 25 44 69 98 136 181 224 277
123	4	1	5.5.5.5.5.6	4 12 25 44 69 98 136 181 224 277
124	4	1	5.5.5.5.5.6	4 12 25 43 68 93 128 173 221 275
125	4	1	5.5.5.5.5.6	4 12 25 43 68 93 128 173 221 275
126	4	1	5.5.5.5.5.6	4 12 25 43 68 93 128 173 221 275
127	4	1	5.5.5.5.5.6	4 12 25 43 68 93 128 173 221 275
128	4	1	5.5.5.5.5.6	4 12 25 43 68 93 128 173 221 275
129	4	1	5.5.5.5.5.6	4 12 25 43 68 93 128 173 221 275
130	4	1	5.5.5.5.5.6	4 12 25 43 68 93 128 173 221 275
131	4	1	5.5.5.5.5.6	4 12 25 43 68 93 128 173 221 275
132	4	1	5.5.5.5.5.6	4 12 25 43 68 93 128 173 221 275
133	4	1	5.5.5.5.5.6	4 12 25 43 68 93 128 173 221 275
134	4	1	5.5.5.5.5.6	4 12 25 43 68 93 128 173 221 275
135	4	1	5.5.5.5.5.6	4 12 25 43 68 93 128 173 221 275
136	4	1	5.5.5.5.5.6	4 12 25 43 68 93 128 173 221 275
137	4	1	5.5.5.5.5.6	4 12 25 43 68 93 128 173 221 275
138	4	1	5.5.5.5.5.6	4 12 25 43 68 93 128 173 221 275
139	4	1	5.5.5.5.5.6	4 12 25 43 68 93 128 173 221 275
140	4	1	5.5.5.5.5.6	4 12 25 43 68 93 128 173 221 275
141	4	1	5.5.5.5.5.6	4 12 25 43 68 93 128 173 221 275
142	4	1	5.5.5.5.5.6	4 12 25 43 68 93 128 173 221 275
143	4	1	5.5.5.5.5.6	4 12 25 43 68 93 128 173 221 275
144	4	1	5.5.5.5.5.6	4 12 25 43 68 93 128 173 221 275
145	4	1	5.5.5.5.5.6	4 12 25 43 68 93 128 173 221 275
146	4	1	5.5.5.5.5.6	4 12 25 43 68 93 128 173 221 275
147	4	1	5.5.5.5.5.6	4 12 25 43 68 93 128 173 221 275

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/mmc (No. 194)
Transitivity p, q (mofplus-deposit): 13, 21 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): muh
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 23 1 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 25 0 1 0 12 30 0 0 0 13 22 1 1 0 13 26 0 0 0 13 31 0 0 0 14 17 0 0 0 14 28 0 1 0 14 32 0 0 0 15 27 -1 0 0 15 31 -1 -1 0 16 33 0 0 0 16 34 0 0 0 17 35 0 0 0 17 36 0 0 0 18 20 0 0 0 18 37 0 0 0 18 38 0 0 0 19 22 0 0 0 19 39 0 0 0 19 40 0 0 0 20 41 0 0 0 20 42 0 0 0 21 23 0 0 0 21 40 0 1 0 21 43 0 0 0 22 30 -1 -1 0 23 24 -1 0 0 24 30 0 -1 0 24 38 0 0 0 25 28 0 0 0 25 40 0 0 0 26 40 1 1 0 26 44 0 0 0 27 29 0 0 0 27 35 1 0 0 28 44 -1 -1 0 29 32 0 -1 0 29 45 0 0 0 30 42 0 0 0 31 32 0 0 0 31 33 1 1 0 32 46 0 0 0 33 44 -1 -1 0 33 47 0 0 0 34 45 0 0 0 34 48 0 0 0 34 49 0 0 0 35 44 -1 0 0 35 50 0 0 0 36 46 0 0 0 36 49 0 0 0 36 51 0 0 0 37 52 0 0 0 37 53 0 0 0 37 54 0 0 0 38 43 1 0 0 38 55 0 0 0 39 42 -1 -1 0 39 43 0 -1 0 39 54 0 0 0 41 52 0 0 0 41 56 0 0 0 41 57 0 0 0 42 58 0 0 0 43 57 0 0 0 45 59 0 0 0 45 60 0 0 0 46 59 0 1 0 46 61 0 0 0 47 48 0 0 0 47 50 0 -1 0 47 61 -1 -1 0 48 62 0 0 0 48 63 0 0 0 49 64 0 0 0 49 65 0 0 0 50 51 0 0 0 50 60 -1 0 0 51 62 0 1 0 51 66 0 0 0 52 67 0 0 0 52 68 0 0 0 53 55 0 0 0 53 69 0 0 0 53 70 0 0 0 54 71 0 0 0 54 72 0 0 0 55 58 0 -1 0 55 73 0 0 0 56 58 0 0 0 56 70 0 1 0 56 74 0 0 0 57 72 0 1 0 57 73 -1 0 0 58 71 1 1 0 59 62 0 0 0 59 75 0 0 0 60 64 0 0 0 60 76 0 0 0 61 64 0 0 0 61 77 0 0 0 62 78 0 0 0 63 65 0 0 0 63 77 -1 -1 0 63 79 0 0 0 64 80 0 0 0 65 66 0 0 0 65 81 0 0 0 66 76 -1 0 0 66 82 0 0 0 67 69 0 0 0 67 74 0 0 0 67 83 0 0 0 68 71 0 0 0 68 73 -1 0 0 68 84 0 0 0 69 85 0 0 0 69 86 0 0 0 70 72 0 0 0 70 87 0 0 0 71 88 0 0 0 72 89 0 0 0 73 86 0 0 0 74 88 1 1 0 74 90 0 0 0 75 76 0 0 0 75 77 0 -1 0 75 91 0 0 0 76 92 0 0 0 77 93 0 0 0 78 79 0 0 0 78 82 0 -1 0 78 91 0 0 0 79 94 0 0 0 79 95 0 0 0 80 81 0 0 0 80 92 0 0 0 80 93 0 0 0 81 95 0 0 0 81 96 0 0 0 82 96 0 0 0 82 97 0 0 0 83 84 0 0 0 83 98 0 0 0 83 99 0 0 0 84 100 0 0 0 84 101 0 0 0 85 87 0 0 0 85 98 0 0 0 85 102 0 0 0 86 89 1 1 0 86 101 1 0 0 87 90 0 -1 0 87 103 0 0 0 88 89 0 0 0 88 100 0 0 0 89 103 0 0 0 90 99 0 0 0 90 104 0 0 0 91 105 0 0 0 91 106 0 0 0 92 97 1 0 0 92 106 0 0 0 93 94 1 1 0 93 105 0 1 0 94 97 0 -1 0 94 107 0 0 0 95 106 0 0 0 95 108 0 0 0 96 105 0 1 0 96 109 0 0 0 97 110 0 0 0 98 111 0 0 0 98 112 0 0 0 99 113 0 0 0 99 114 0 0 0 100 104 -1 -1 0 100 112 0 0 0 101 102 -1 0 0 101 114 0 0 0 102 104 0 -1 0 102 115 0 0 0 103 112 0 0 0 103 114 0 -1 0 104 116 0 0 0 105 117 0 0 0 106 118 0 0 0 107 108 0 0 0 107 117 -1 0 0 107 119 0 0 0 108 109 0 0 0 108 120 0 0 0 109 110 0 0 0 109 121 0 0 0 110 118 -1 0 0 110 122 0 0 0 111 115 0 0 0 111 123 0 0 0 111 124 0 0 0 112 125 0 0 0 113 116 0 0 0 113 124 0 0 0 113 126 0 0 0 114 127 0 0 0 115 128 0 0 0 115 129 0 0 0 116 128 0 1 0 116 130 0 0 0 117 118 0 0 0 117 131 0 0 0 118 132 0 0 0 119 122 0 -1 0 119 133 0 0 0 119 134 0 0 0 120 132 0 0 0 120 134 0 0 0 120 135 0 0 0 121 131 0 1 0 121 135 0 0 0 121 136 0 0 0 122 136 0 0 0 122 137 0 0 0 123 125 0 0 0 123 138 0 0 0 123 139 0 0 0 124 140 0 0 0 124 141 0 0 0 125 127 0 -1 0 125 130 -1 -1 0 126 127 0 0 0 126 139 0 1 0 126 142 0 0 0 127 129 -1 0 0 128 139 0 0 0 128 143 0 0 0 129 141 0 0 0 129 144 0 0 0 130 141 0 0 0 130 145 0 0 0 131 133 1 0 0 131 146 0 0 0 132 137 1 0 0 132 146 0 0 0 133 145 0 0 1 133 147 0 0 0 134 138 1 1 1 134 148 0 0 0 135 140 1 1 1 135 147 1 1 0 136 142 1 1 1 136 148 0 1 0 137 144 0 1 1 137 147 0 1 0 138 140 0 0 0 138 145 -1 -1 0 139 148 -1 -1 -1 140 142 0 0 0 141 147 0 0 -1 142 144 -1 0 0 143 144 0 0 0 143 145 0 -1 0 143 146 -1 -1 -1 146 148 0 0 0
Key against the archive (mofplus-deposit): the same key, character for character
TD10 as Systre prints it (mofplus-deposit): 1052
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): 1052.3243243243244
Genus (mofplus-deposit): 149
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): 1052.3243243243244
Genus (rcsr-archive-key): 149
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)3(5^5.6)21(5^6)13
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	5.5.5.5.5.5	5.5.5.5.5.5	5^6	4 12 24 39 63 104 137 174 219 264
4, 5, 6, 7	5.5.5.5.5.5	5.5.5.5.5.5	5^6	4 12 24 36 64 109 133 163 216 264
8, 9, 10, 11	5.5.5.5.5.5	5.5.5.5.5.5	5^6	4 12 24 39 66 109 133 168 231 270
12, 13, 14, 15	5.5.5.5.5.5	5.5.5.5.5.5	5^6	4 12 24 39 69 105 127 169 225 270
16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27	5.5.5.5.6.6	5.5.5.5.6.6	5^4.6^2	4 12 26 46 72 102 136 180 232 284
28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39	5.5.5.5.5.6	5.5.5.5.5.6	5^5.6	4 12 25 41 67 95 130 178 224 272
40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51	5.5.5.5.5.6	5.5.5.5.5.6	5^5.6	4 12 25 42 63 96 133 176 222 269
52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63	5.5.5.5.5.5	5.5.5.5.5.5	5^6	4 12 24 40 68 100 133 175 223 274
64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75	5.5.5.5.5.5	5.5.5.5.5.5	5^6	4 12 24 40 69 96 133 179 222 266
76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87	5.5.5.5.5.6	5.5.5.5.5.6	5^5.6	4 12 25 43 66 95 133 172 220 276
88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99	5.5.5.5.5.5	5.5.5.5.5.5	5^6	4 12 24 39 65 99 130 166 213 274
100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123	5.5.5.5.5.6	5.5.5.5.5.6	5^5.6	4 12 25 44 69 98 136 181 224 277
124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147	5.5.5.5.5.6	5.5.5.5.5.6	5^5.6	4 12 25 43 68 93 128 173 221 275

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

Net point symbol (rcsr-archive-key): (5^4.6^2)3(5^5.6)21(5^6)13
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, 12, 64, 66, 75, 76, 85, 87, 139, 143, 144	5.5.5.5.5.6	5.5.5.5.5.6	5^5.6	4 12 25 41 67 95 130 178 224 272
1, 21, 22, 51, 70, 72, 80, 91, 92, 132, 134, 136	5.5.5.5.5.5	5.5.5.5.5.5	5^6	4 12 24 40 68 100 133 175 223 274
2, 3, 25, 62, 65, 68, 73, 74, 88, 137, 141, 142	5.5.5.5.5.6	5.5.5.5.5.6	5^5.6	4 12 25 42 63 96 133 176 222 269
4, 26, 30, 48, 59, 60, 82, 99, 100, 123, 128, 129	5.5.5.5.5.6	5.5.5.5.5.6	5^5.6	4 12 25 43 66 95 133 172 220 276
5, 6, 18, 20, 23, 29, 36, 40, 53, 54, 56, 57, 93, 94, 95, 96, 104, 105, 118, 119, 120, 121, 130, 131	5.5.5.5.5.6	5.5.5.5.5.6	5^5.6	4 12 25 44 69 98 136 181 224 277
7, 67, 79, 146	5.5.5.5.5.5	5.5.5.5.5.5	5^6	4 12 24 39 66 109 133 168 231 270
8, 11, 39, 52, 55, 71, 78, 81, 90, 133, 135, 145	5.5.5.5.5.5	5.5.5.5.5.5	5^6	4 12 24 40 69 96 133 179 222 266
10, 13, 43, 47, 50, 58, 84, 89, 102, 122, 125, 127	5.5.5.5.5.5	5.5.5.5.5.5	5^6	4 12 24 39 65 99 130 166 213 274
14, 63, 83, 140	5.5.5.5.5.5	5.5.5.5.5.5	5^6	4 12 24 39 69 105 127 169 225 270
15, 16, 28, 31, 32, 33, 34, 35, 44, 45, 46, 49, 97, 98, 101, 103, 110, 111, 112, 113, 114, 115, 124, 126	5.5.5.5.5.6	5.5.5.5.5.6	5^5.6	4 12 25 43 68 93 128 173 221 275
17, 19, 37, 38, 41, 42, 106, 107, 108, 109, 116, 117	5.5.5.5.6.6	5.5.5.5.6.6	5^4.6^2	4 12 26 46 72 102 136 180 232 284
24, 69, 77, 147	5.5.5.5.5.5	5.5.5.5.5.5	5^6	4 12 24 39 63 104 137 174 219 264
27, 61, 86, 138	5.5.5.5.5.5	5.5.5.5.5.5	5^6	4 12 24 36 64 109 133 163 216 264

Cross-checks

Name against the computed key: corroborated-by-systre-key
Stored symbols against the computed ones: corroborated: 148 of 148 vertex rows agree with mofpp.rings v2 (mofplus-deposit).
Stored sequences against the computed ones: corroborated: 148 of 148 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: muh
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: 1357 (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: 2290 The order the ingest processed this net in, simplest first. A different number from the RCSR index above, meaning a different thing.

Download

Topology.mfpx
Metadata.json

Cite this record

MOF++ contributors (2026). muh [net]. MOF++ dataset release unreleased. Record: https://mofpp.ramabile.casa/net/muh

Permanent URI: https://mofpp.ramabile.casa/net/muh
No dataset DOI has been registered yet — cite the URI and the release version. Why per-record DOIs are not minted.

Licence

CC BY 4.0

Creative Commons Attribution 4.0 International. The licence is recorded on the record itself, not site-wide — deposits may arrive under different terms.

Cite the source

Reticular Chemistry Structure Resource (RCSR) asks to be cited:

M. O'Keeffe, M. A. Peskov, S. J. Ramsden and O. M. Yaghi, 'The Reticular Chemistry Structure Resource (RCSR) Database of, and Symbols for, Crystal Nets', Acc. Chem. Res. 2008, 41, 1782-1789. DOI: 10.1021/ar800124u

© 2019 RCSR.net — https://rcsr.anu.edu.au
This reference is for the resource, not for this net. RCSR publishes a primary reference per net, but the Systre archive distributed as RCSRnets-2019-06-01.arc carries an empty 'ref' field in all 2930 records. The citation shown is for the RCSR resource as a whole, not for this net specifically.

From a script

from mofplus import user_api
api = user_api()
api.get_net("muh")

Or without the client: curl https://mofpp.ramabile.casa/net/muh.json