Net topology

mur

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

222 vertices and 444 edges in the unit cell. 120 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: R-3m (No. 166)
Cell lengths: a = 4.3011 Å, b = 4.3011 Å, c = 24.0606 Å
Cell angles: α = 90.00°, β = 90.00°, γ = 120.00°
Atoms in cell: 222
Transitivity pqrs: 13, 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 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 67 0 0 1 60 64 0 0 0 60 74 0 0 1 61 64 0 0 0 61 69 0 1 1 62 68 0 0 1 63 65 0 0 0 63 69 -1 0 1 63 73 -1 0 1 64 70 0 1 1 65 66 0 0 0 65 72 0 1 1 66 71 0 1 1 66 74 -1 0 1 67 69 0 0 0 67 74 0 0 0 68 71 0 0 0 68 73 -1 0 0 70 72 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: ee126a60e45031431b46138d4ea2ed13 (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: 222 of 222 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. 222 of 222 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 R-3m, setting H, 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 66 109 133 168 231 267
1	4	3m	5.5.5.5.5.5	4 12 24 39 66 109 133 168 231 267
2	4	3m	5.5.5.5.5.5	4 12 24 39 66 109 133 168 231 267
3	4	3m	5.5.5.5.5.5	4 12 24 39 66 109 133 168 231 267
4	4	3m	5.5.5.5.5.5	4 12 24 39 66 109 133 168 231 267
5	4	3m	5.5.5.5.5.5	4 12 24 39 66 109 133 168 231 267
6	4	3m	5.5.5.5.5.5	4 12 24 39 69 105 127 169 225 270
7	4	3m	5.5.5.5.5.5	4 12 24 39 69 105 127 169 225 270
8	4	3m	5.5.5.5.5.5	4 12 24 39 69 105 127 169 225 270
9	4	3m	5.5.5.5.5.5	4 12 24 39 69 105 127 169 225 270
10	4	3m	5.5.5.5.5.5	4 12 24 39 69 105 127 169 225 270
11	4	3m	5.5.5.5.5.5	4 12 24 39 69 105 127 169 225 270
12	4	3m	5.5.5.5.5.5	4 12 24 39 63 104 137 174 219 267
13	4	3m	5.5.5.5.5.5	4 12 24 39 63 104 137 174 219 267
14	4	3m	5.5.5.5.5.5	4 12 24 39 63 104 137 174 219 267
15	4	3m	5.5.5.5.5.5	4 12 24 39 63 104 137 174 219 267
16	4	3m	5.5.5.5.5.5	4 12 24 39 63 104 137 174 219 267
17	4	3m	5.5.5.5.5.5	4 12 24 39 63 104 137 174 219 267
18	4	3m	5.5.5.5.5.5	4 12 24 36 64 109 133 163 216 264
19	4	3m	5.5.5.5.5.5	4 12 24 36 64 109 133 163 216 264
20	4	3m	5.5.5.5.5.5	4 12 24 36 64 109 133 163 216 264
21	4	3m	5.5.5.5.5.5	4 12 24 36 64 109 133 163 216 264
22	4	3m	5.5.5.5.5.5	4 12 24 36 64 109 133 163 216 264
23	4	3m	5.5.5.5.5.5	4 12 24 36 64 109 133 163 216 264
24	4	2	5.5.5.5.6.6	4 12 26 46 72 102 136 180 232 284
25	4	2	5.5.5.5.6.6	4 12 26 46 72 102 136 180 232 284
26	4	2	5.5.5.5.6.6	4 12 26 46 72 102 136 180 232 284
27	4	2	5.5.5.5.6.6	4 12 26 46 72 102 136 180 232 284
28	4	2	5.5.5.5.6.6	4 12 26 46 72 102 136 180 232 284
29	4	2	5.5.5.5.6.6	4 12 26 46 72 102 136 180 232 284
30	4	2	5.5.5.5.6.6	4 12 26 46 72 102 136 180 232 284
31	4	2	5.5.5.5.6.6	4 12 26 46 72 102 136 180 232 284
32	4	2	5.5.5.5.6.6	4 12 26 46 72 102 136 180 232 284
33	4	2	5.5.5.5.6.6	4 12 26 46 72 102 136 180 232 284
34	4	2	5.5.5.5.6.6	4 12 26 46 72 102 136 180 232 284
35	4	2	5.5.5.5.6.6	4 12 26 46 72 102 136 180 232 284
36	4	2	5.5.5.5.6.6	4 12 26 46 72 102 136 180 232 284
37	4	2	5.5.5.5.6.6	4 12 26 46 72 102 136 180 232 284
38	4	2	5.5.5.5.6.6	4 12 26 46 72 102 136 180 232 284
39	4	2	5.5.5.5.6.6	4 12 26 46 72 102 136 180 232 284
40	4	2	5.5.5.5.6.6	4 12 26 46 72 102 136 180 232 284
41	4	2	5.5.5.5.6.6	4 12 26 46 72 102 136 180 232 284
42	4	m	5.5.5.5.5.6	4 12 25 42 63 96 133 176 222 270
43	4	m	5.5.5.5.5.6	4 12 25 42 63 96 133 176 222 270
44	4	m	5.5.5.5.5.6	4 12 25 42 63 96 133 176 222 270
45	4	m	5.5.5.5.5.6	4 12 25 42 63 96 133 176 222 270
46	4	m	5.5.5.5.5.6	4 12 25 42 63 96 133 176 222 270
47	4	m	5.5.5.5.5.6	4 12 25 42 63 96 133 176 222 270
48	4	m	5.5.5.5.5.6	4 12 25 42 63 96 133 176 222 270
49	4	m	5.5.5.5.5.6	4 12 25 42 63 96 133 176 222 270
50	4	m	5.5.5.5.5.6	4 12 25 42 63 96 133 176 222 270
51	4	m	5.5.5.5.5.6	4 12 25 42 63 96 133 176 222 270
52	4	m	5.5.5.5.5.6	4 12 25 42 63 96 133 176 222 270
53	4	m	5.5.5.5.5.6	4 12 25 42 63 96 133 176 222 270
54	4	m	5.5.5.5.5.6	4 12 25 42 63 96 133 176 222 270
55	4	m	5.5.5.5.5.6	4 12 25 42 63 96 133 176 222 270
56	4	m	5.5.5.5.5.6	4 12 25 42 63 96 133 176 222 270
57	4	m	5.5.5.5.5.6	4 12 25 42 63 96 133 176 222 270
58	4	m	5.5.5.5.5.6	4 12 25 42 63 96 133 176 222 270
59	4	m	5.5.5.5.5.6	4 12 25 42 63 96 133 176 222 270
60	4	m	5.5.5.5.5.6	4 12 25 41 67 95 130 178 224 271
61	4	m	5.5.5.5.5.6	4 12 25 41 67 95 130 178 224 271
62	4	m	5.5.5.5.5.6	4 12 25 41 67 95 130 178 224 271
63	4	m	5.5.5.5.5.6	4 12 25 41 67 95 130 178 224 271
64	4	m	5.5.5.5.5.6	4 12 25 41 67 95 130 178 224 271
65	4	m	5.5.5.5.5.6	4 12 25 41 67 95 130 178 224 271
66	4	m	5.5.5.5.5.6	4 12 25 41 67 95 130 178 224 271
67	4	m	5.5.5.5.5.6	4 12 25 41 67 95 130 178 224 271
68	4	m	5.5.5.5.5.6	4 12 25 41 67 95 130 178 224 271
69	4	m	5.5.5.5.5.6	4 12 25 41 67 95 130 178 224 271
70	4	m	5.5.5.5.5.6	4 12 25 41 67 95 130 178 224 271
71	4	m	5.5.5.5.5.6	4 12 25 41 67 95 130 178 224 271
72	4	m	5.5.5.5.5.6	4 12 25 41 67 95 130 178 224 271
73	4	m	5.5.5.5.5.6	4 12 25 41 67 95 130 178 224 271
74	4	m	5.5.5.5.5.6	4 12 25 41 67 95 130 178 224 271
75	4	m	5.5.5.5.5.6	4 12 25 41 67 95 130 178 224 271
76	4	m	5.5.5.5.5.6	4 12 25 41 67 95 130 178 224 271
77	4	m	5.5.5.5.5.6	4 12 25 41 67 95 130 178 224 271
78	4	m	5.5.5.5.5.5	4 12 24 40 69 96 133 179 223 265
79	4	m	5.5.5.5.5.5	4 12 24 40 69 96 133 179 223 265
80	4	m	5.5.5.5.5.5	4 12 24 40 69 96 133 179 223 265
81	4	m	5.5.5.5.5.5	4 12 24 40 69 96 133 179 223 265
82	4	m	5.5.5.5.5.5	4 12 24 40 69 96 133 179 223 265
83	4	m	5.5.5.5.5.5	4 12 24 40 69 96 133 179 223 265
84	4	m	5.5.5.5.5.5	4 12 24 40 69 96 133 179 223 265
85	4	m	5.5.5.5.5.5	4 12 24 40 69 96 133 179 223 265
86	4	m	5.5.5.5.5.5	4 12 24 40 69 96 133 179 223 265
87	4	m	5.5.5.5.5.5	4 12 24 40 69 96 133 179 223 265
88	4	m	5.5.5.5.5.5	4 12 24 40 69 96 133 179 223 265
89	4	m	5.5.5.5.5.5	4 12 24 40 69 96 133 179 223 265
90	4	m	5.5.5.5.5.5	4 12 24 40 69 96 133 179 223 265
91	4	m	5.5.5.5.5.5	4 12 24 40 69 96 133 179 223 265
92	4	m	5.5.5.5.5.5	4 12 24 40 69 96 133 179 223 265
93	4	m	5.5.5.5.5.5	4 12 24 40 69 96 133 179 223 265
94	4	m	5.5.5.5.5.5	4 12 24 40 69 96 133 179 223 265
95	4	m	5.5.5.5.5.5	4 12 24 40 69 96 133 179 223 265
96	4	m	5.5.5.5.5.5	4 12 24 40 68 100 133 175 222 275
97	4	m	5.5.5.5.5.5	4 12 24 40 68 100 133 175 222 275
98	4	m	5.5.5.5.5.5	4 12 24 40 68 100 133 175 222 275
99	4	m	5.5.5.5.5.5	4 12 24 40 68 100 133 175 222 275
100	4	m	5.5.5.5.5.5	4 12 24 40 68 100 133 175 222 275
101	4	m	5.5.5.5.5.5	4 12 24 40 68 100 133 175 222 275
102	4	m	5.5.5.5.5.5	4 12 24 40 68 100 133 175 222 275
103	4	m	5.5.5.5.5.5	4 12 24 40 68 100 133 175 222 275
104	4	m	5.5.5.5.5.5	4 12 24 40 68 100 133 175 222 275
105	4	m	5.5.5.5.5.5	4 12 24 40 68 100 133 175 222 275
106	4	m	5.5.5.5.5.5	4 12 24 40 68 100 133 175 222 275
107	4	m	5.5.5.5.5.5	4 12 24 40 68 100 133 175 222 275
108	4	m	5.5.5.5.5.5	4 12 24 40 68 100 133 175 222 275
109	4	m	5.5.5.5.5.5	4 12 24 40 68 100 133 175 222 275
110	4	m	5.5.5.5.5.5	4 12 24 40 68 100 133 175 222 275
111	4	m	5.5.5.5.5.5	4 12 24 40 68 100 133 175 222 275
112	4	m	5.5.5.5.5.5	4 12 24 40 68 100 133 175 222 275
113	4	m	5.5.5.5.5.5	4 12 24 40 68 100 133 175 222 275
114	4	m	5.5.5.5.5.5	4 12 24 39 65 99 130 166 213 274
115	4	m	5.5.5.5.5.5	4 12 24 39 65 99 130 166 213 274
116	4	m	5.5.5.5.5.5	4 12 24 39 65 99 130 166 213 274
117	4	m	5.5.5.5.5.5	4 12 24 39 65 99 130 166 213 274
118	4	m	5.5.5.5.5.5	4 12 24 39 65 99 130 166 213 274
119	4	m	5.5.5.5.5.5	4 12 24 39 65 99 130 166 213 274
120	4	m	5.5.5.5.5.5	4 12 24 39 65 99 130 166 213 274
121	4	m	5.5.5.5.5.5	4 12 24 39 65 99 130 166 213 274
122	4	m	5.5.5.5.5.5	4 12 24 39 65 99 130 166 213 274
123	4	m	5.5.5.5.5.5	4 12 24 39 65 99 130 166 213 274
124	4	m	5.5.5.5.5.5	4 12 24 39 65 99 130 166 213 274
125	4	m	5.5.5.5.5.5	4 12 24 39 65 99 130 166 213 274
126	4	m	5.5.5.5.5.5	4 12 24 39 65 99 130 166 213 274
127	4	m	5.5.5.5.5.5	4 12 24 39 65 99 130 166 213 274
128	4	m	5.5.5.5.5.5	4 12 24 39 65 99 130 166 213 274
129	4	m	5.5.5.5.5.5	4 12 24 39 65 99 130 166 213 274
130	4	m	5.5.5.5.5.5	4 12 24 39 65 99 130 166 213 274
131	4	m	5.5.5.5.5.5	4 12 24 39 65 99 130 166 213 274
132	4	m	5.5.5.5.5.6	4 12 25 43 66 95 133 172 220 276
133	4	m	5.5.5.5.5.6	4 12 25 43 66 95 133 172 220 276
134	4	m	5.5.5.5.5.6	4 12 25 43 66 95 133 172 220 276
135	4	m	5.5.5.5.5.6	4 12 25 43 66 95 133 172 220 276
136	4	m	5.5.5.5.5.6	4 12 25 43 66 95 133 172 220 276
137	4	m	5.5.5.5.5.6	4 12 25 43 66 95 133 172 220 276
138	4	m	5.5.5.5.5.6	4 12 25 43 66 95 133 172 220 276
139	4	m	5.5.5.5.5.6	4 12 25 43 66 95 133 172 220 276
140	4	m	5.5.5.5.5.6	4 12 25 43 66 95 133 172 220 276
141	4	m	5.5.5.5.5.6	4 12 25 43 66 95 133 172 220 276
142	4	m	5.5.5.5.5.6	4 12 25 43 66 95 133 172 220 276
143	4	m	5.5.5.5.5.6	4 12 25 43 66 95 133 172 220 276
144	4	m	5.5.5.5.5.6	4 12 25 43 66 95 133 172 220 276
145	4	m	5.5.5.5.5.6	4 12 25 43 66 95 133 172 220 276
146	4	m	5.5.5.5.5.6	4 12 25 43 66 95 133 172 220 276
147	4	m	5.5.5.5.5.6	4 12 25 43 66 95 133 172 220 276
148	4	m	5.5.5.5.5.6	4 12 25 43 66 95 133 172 220 276
149	4	m	5.5.5.5.5.6	4 12 25 43 66 95 133 172 220 276
150	4	1	5.5.5.5.5.6	4 12 25 44 69 98 136 181 224 277
151	4	1	5.5.5.5.5.6	4 12 25 44 69 98 136 181 224 277
152	4	1	5.5.5.5.5.6	4 12 25 44 69 98 136 181 224 277
153	4	1	5.5.5.5.5.6	4 12 25 44 69 98 136 181 224 277
154	4	1	5.5.5.5.5.6	4 12 25 44 69 98 136 181 224 277
155	4	1	5.5.5.5.5.6	4 12 25 44 69 98 136 181 224 277
156	4	1	5.5.5.5.5.6	4 12 25 44 69 98 136 181 224 277
157	4	1	5.5.5.5.5.6	4 12 25 44 69 98 136 181 224 277
158	4	1	5.5.5.5.5.6	4 12 25 44 69 98 136 181 224 277
159	4	1	5.5.5.5.5.6	4 12 25 44 69 98 136 181 224 277
160	4	1	5.5.5.5.5.6	4 12 25 44 69 98 136 181 224 277
161	4	1	5.5.5.5.5.6	4 12 25 44 69 98 136 181 224 277
162	4	1	5.5.5.5.5.6	4 12 25 44 69 98 136 181 224 277
163	4	1	5.5.5.5.5.6	4 12 25 44 69 98 136 181 224 277
164	4	1	5.5.5.5.5.6	4 12 25 44 69 98 136 181 224 277
165	4	1	5.5.5.5.5.6	4 12 25 44 69 98 136 181 224 277
166	4	1	5.5.5.5.5.6	4 12 25 44 69 98 136 181 224 277
167	4	1	5.5.5.5.5.6	4 12 25 44 69 98 136 181 224 277
168	4	1	5.5.5.5.5.6	4 12 25 44 69 98 136 181 224 277
169	4	1	5.5.5.5.5.6	4 12 25 44 69 98 136 181 224 277
170	4	1	5.5.5.5.5.6	4 12 25 44 69 98 136 181 224 277
171	4	1	5.5.5.5.5.6	4 12 25 44 69 98 136 181 224 277
172	4	1	5.5.5.5.5.6	4 12 25 44 69 98 136 181 224 277
173	4	1	5.5.5.5.5.6	4 12 25 44 69 98 136 181 224 277
174	4	1	5.5.5.5.5.6	4 12 25 44 69 98 136 181 224 277
175	4	1	5.5.5.5.5.6	4 12 25 44 69 98 136 181 224 277
176	4	1	5.5.5.5.5.6	4 12 25 44 69 98 136 181 224 277
177	4	1	5.5.5.5.5.6	4 12 25 44 69 98 136 181 224 277
178	4	1	5.5.5.5.5.6	4 12 25 44 69 98 136 181 224 277
179	4	1	5.5.5.5.5.6	4 12 25 44 69 98 136 181 224 277
180	4	1	5.5.5.5.5.6	4 12 25 44 69 98 136 181 224 277
181	4	1	5.5.5.5.5.6	4 12 25 44 69 98 136 181 224 277
182	4	1	5.5.5.5.5.6	4 12 25 44 69 98 136 181 224 277
183	4	1	5.5.5.5.5.6	4 12 25 44 69 98 136 181 224 277
184	4	1	5.5.5.5.5.6	4 12 25 44 69 98 136 181 224 277
185	4	1	5.5.5.5.5.6	4 12 25 44 69 98 136 181 224 277
186	4	1	5.5.5.5.5.6	4 12 25 43 68 93 128 173 221 275
187	4	1	5.5.5.5.5.6	4 12 25 43 68 93 128 173 221 275
188	4	1	5.5.5.5.5.6	4 12 25 43 68 93 128 173 221 275
189	4	1	5.5.5.5.5.6	4 12 25 43 68 93 128 173 221 275
190	4	1	5.5.5.5.5.6	4 12 25 43 68 93 128 173 221 275
191	4	1	5.5.5.5.5.6	4 12 25 43 68 93 128 173 221 275
192	4	1	5.5.5.5.5.6	4 12 25 43 68 93 128 173 221 275
193	4	1	5.5.5.5.5.6	4 12 25 43 68 93 128 173 221 275
194	4	1	5.5.5.5.5.6	4 12 25 43 68 93 128 173 221 275
195	4	1	5.5.5.5.5.6	4 12 25 43 68 93 128 173 221 275
196	4	1	5.5.5.5.5.6	4 12 25 43 68 93 128 173 221 275
197	4	1	5.5.5.5.5.6	4 12 25 43 68 93 128 173 221 275
198	4	1	5.5.5.5.5.6	4 12 25 43 68 93 128 173 221 275
199	4	1	5.5.5.5.5.6	4 12 25 43 68 93 128 173 221 275
200	4	1	5.5.5.5.5.6	4 12 25 43 68 93 128 173 221 275
201	4	1	5.5.5.5.5.6	4 12 25 43 68 93 128 173 221 275
202	4	1	5.5.5.5.5.6	4 12 25 43 68 93 128 173 221 275
203	4	1	5.5.5.5.5.6	4 12 25 43 68 93 128 173 221 275
204	4	1	5.5.5.5.5.6	4 12 25 43 68 93 128 173 221 275
205	4	1	5.5.5.5.5.6	4 12 25 43 68 93 128 173 221 275
206	4	1	5.5.5.5.5.6	4 12 25 43 68 93 128 173 221 275
207	4	1	5.5.5.5.5.6	4 12 25 43 68 93 128 173 221 275
208	4	1	5.5.5.5.5.6	4 12 25 43 68 93 128 173 221 275
209	4	1	5.5.5.5.5.6	4 12 25 43 68 93 128 173 221 275
210	4	1	5.5.5.5.5.6	4 12 25 43 68 93 128 173 221 275
211	4	1	5.5.5.5.5.6	4 12 25 43 68 93 128 173 221 275
212	4	1	5.5.5.5.5.6	4 12 25 43 68 93 128 173 221 275
213	4	1	5.5.5.5.5.6	4 12 25 43 68 93 128 173 221 275
214	4	1	5.5.5.5.5.6	4 12 25 43 68 93 128 173 221 275
215	4	1	5.5.5.5.5.6	4 12 25 43 68 93 128 173 221 275
216	4	1	5.5.5.5.5.6	4 12 25 43 68 93 128 173 221 275
217	4	1	5.5.5.5.5.6	4 12 25 43 68 93 128 173 221 275
218	4	1	5.5.5.5.5.6	4 12 25 43 68 93 128 173 221 275
219	4	1	5.5.5.5.5.6	4 12 25 43 68 93 128 173 221 275
220	4	1	5.5.5.5.5.6	4 12 25 43 68 93 128 173 221 275
221	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): R-3m (No. 166) (hexagonal setting)
Transitivity p, q (mofplus-deposit): 13, 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): 12
Repeat-unit factor (mofplus-deposit): 3
RCSR identification (mofplus-deposit): mur
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 67 0 0 1 60 64 0 0 0 60 74 0 0 1 61 64 0 0 0 61 69 0 1 1 62 68 0 0 1 63 65 0 0 0 63 69 -1 0 1 63 73 -1 0 1 64 70 0 1 1 65 66 0 0 0 65 72 0 1 1 66 71 0 1 1 66 74 -1 0 1 67 69 0 0 0 67 74 0 0 0 68 71 0 0 0 68 73 -1 0 0 70 72 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): 75
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): 75
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, 4, 5	5.5.5.5.5.5	5.5.5.5.5.5	5^6	4 12 24 39 66 109 133 168 231 267
6, 7, 8, 9, 10, 11	5.5.5.5.5.5	5.5.5.5.5.5	5^6	4 12 24 39 69 105 127 169 225 270
12, 13, 14, 15, 16, 17	5.5.5.5.5.5	5.5.5.5.5.5	5^6	4 12 24 39 63 104 137 174 219 267
18, 19, 20, 21, 22, 23	5.5.5.5.5.5	5.5.5.5.5.5	5^6	4 12 24 36 64 109 133 163 216 264
24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41	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
42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59	5.5.5.5.5.6	5.5.5.5.5.6	5^5.6	4 12 25 42 63 96 133 176 222 270
60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77	5.5.5.5.5.6	5.5.5.5.5.6	5^5.6	4 12 25 41 67 95 130 178 224 271
78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95	5.5.5.5.5.5	5.5.5.5.5.5	5^6	4 12 24 40 69 96 133 179 223 265
96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113	5.5.5.5.5.5	5.5.5.5.5.5	5^6	4 12 24 40 68 100 133 175 222 275
114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131	5.5.5.5.5.5	5.5.5.5.5.5	5^6	4 12 24 39 65 99 130 166 213 274
132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149	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
150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185	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
186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221	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, 68, 73	5.5.5.5.5.6	5.5.5.5.5.6	5^5.6	4 12 25 41 67 95 130 178 224 271
1, 21, 22, 52, 55, 71	5.5.5.5.5.5	5.5.5.5.5.5	5^6	4 12 24 40 68 100 133 175 222 275
2, 3, 25, 62, 65, 66	5.5.5.5.5.6	5.5.5.5.5.6	5^5.6	4 12 25 42 63 96 133 176 222 270
4, 26, 30, 48, 59, 60	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	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, 69	5.5.5.5.5.5	5.5.5.5.5.5	5^6	4 12 24 39 66 109 133 168 231 267
8, 11, 39, 51, 70, 72	5.5.5.5.5.5	5.5.5.5.5.5	5^6	4 12 24 40 69 96 133 179 223 265
10, 13, 43, 47, 50, 58	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	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	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	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, 67	5.5.5.5.5.5	5.5.5.5.5.5	5^6	4 12 24 39 63 104 137 174 219 267
27, 61	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: 222 of 222 vertex rows agree with mofpp.rings v2 (mofplus-deposit).
Stored sequences against the computed ones: corroborated: 222 of 222 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: mur
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: 1359 (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: 2352 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). mur [net]. MOF++ dataset release unreleased. Record: https://mofpp.ramabile.casa/net/mur

Permanent URI: https://mofpp.ramabile.casa/net/mur
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("mur")

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