Net topology

ott

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

JSON · mfpx

176 vertices and 360 edges in the unit cell. 72 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
Fm-3m (No. 225)
Cell lengths
a = 6.4141 Å, b = 6.4141 Å, c = 6.4141 Å
Cell angles
α = 90.00°, β = 90.00°, γ = 90.00°
Atoms in cell
176
Transitivity pqrs
3, 4, *, *
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 1 6 0 0 0 1 7 0 0 0 2 8 0 0 0 2 9 0 0 0 2 10 0 0 0 2 11 0 0 0 2 12 0 0 0 3 11 0 0 0 3 13 0 0 0 3 14 0 0 0 3 15 0 0 0 3 16 0 0 0 4 12 0 0 0 4 13 0 0 0 4 17 0 0 0 4 18 0 0 0 4 19 0 0 0 5 20 0 0 0 5 21 0 0 0 6 22 0 0 0 6 23 0 0 0 7 24 0 0 0 7 25 0 0 0 8 26 0 0 0 8 27 0 0 0 9 20 0 0 0 9 28 0 0 0 10 22 0 0 0 10 29 0 0 0 11 30 0 0 0 11 31 0 0 0 11 32 0 0 0 11 33 0 0 0 12 33 0 0 0 12 34 0 0 0 12 35 0 0 0 12 36 0 0 0 13 33 0 0 0 13 37 0 0 0 13 38 0 0 0 13 39 0 0 0 14 21 0 0 0 14 40 0 0 0 15 27 1 0 0 15 41 0 0 0 16 24 0 0 0 16 29 1 0 0 17 23 0 0 0 17 40 0 1 0 18 26 1 1 0 18 41 0 1 0 19 25 0 0 0 19 28 1 1 0 20 22 0 0 0 20 37 0 0 1 20 42 0 0 0 21 24 0 0 0 21 34 1 0 1 21 43 0 0 0 22 38 0 0 1 22 44 0 0 0 23 25 0 0 0 23 30 1 1 1 23 43 0 1 0 24 36 1 0 1 24 44 1 0 0 25 32 1 1 1 25 42 1 1 0 26 28 0 0 0 26 30 0 0 0 26 38 -1 -1 0 27 29 0 0 0 27 34 0 0 0 27 37 -1 0 0 28 31 0 0 0 28 39 -1 -1 0 29 35 0 0 0 29 39 -1 0 0 31 40 0 0 0 32 41 0 0 0 33 42 0 0 -1 33 43 -1 0 -1 33 44 0 0 -1 35 40 0 1 0 36 41 0 1 0 40 41 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
87a7ad5e1e6127b11cc69bd9bf8c148c (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: 176 of 176 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. 176 of 176 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 Fm-3m, 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 6 3m4.4.4.5.5.5.5.5.5.5.5.5.7(2).7(2).7(2)6 18 34 48 81 129 171 225 267 348
1 6 3m4.4.4.5.5.5.5.5.5.5.5.5.7(2).7(2).7(2)6 18 34 48 81 129 171 225 267 348
2 6 3m4.4.4.5.5.5.5.5.5.5.5.5.7(2).7(2).7(2)6 18 34 48 81 129 171 225 267 348
3 6 3m4.4.4.5.5.5.5.5.5.5.5.5.7(2).7(2).7(2)6 18 34 48 81 129 171 225 267 348
4 6 3m4.4.4.5.5.5.5.5.5.5.5.5.7(2).7(2).7(2)6 18 34 48 81 129 171 225 267 348
5 6 3m4.4.4.5.5.5.5.5.5.5.5.5.7(2).7(2).7(2)6 18 34 48 81 129 171 225 267 348
6 6 3m4.4.4.5.5.5.5.5.5.5.5.5.7(2).7(2).7(2)6 18 34 48 81 129 171 225 267 348
7 6 3m4.4.4.5.5.5.5.5.5.5.5.5.7(2).7(2).7(2)6 18 34 48 81 129 171 225 267 348
8 6 3m4.4.4.5.5.5.5.5.5.5.5.5.7(2).7(2).7(2)6 18 34 48 81 129 171 225 267 348
9 6 3m4.4.4.5.5.5.5.5.5.5.5.5.7(2).7(2).7(2)6 18 34 48 81 129 171 225 267 348
10 6 3m4.4.4.5.5.5.5.5.5.5.5.5.7(2).7(2).7(2)6 18 34 48 81 129 171 225 267 348
11 6 3m4.4.4.5.5.5.5.5.5.5.5.5.7(2).7(2).7(2)6 18 34 48 81 129 171 225 267 348
12 6 3m4.4.4.5.5.5.5.5.5.5.5.5.7(2).7(2).7(2)6 18 34 48 81 129 171 225 267 348
13 6 3m4.4.4.5.5.5.5.5.5.5.5.5.7(2).7(2).7(2)6 18 34 48 81 129 171 225 267 348
14 6 3m4.4.4.5.5.5.5.5.5.5.5.5.7(2).7(2).7(2)6 18 34 48 81 129 171 225 267 348
15 6 3m4.4.4.5.5.5.5.5.5.5.5.5.7(2).7(2).7(2)6 18 34 48 81 129 171 225 267 348
16 6 3m4.4.4.5.5.5.5.5.5.5.5.5.7(2).7(2).7(2)6 18 34 48 81 129 171 225 267 348
17 6 3m4.4.4.5.5.5.5.5.5.5.5.5.7(2).7(2).7(2)6 18 34 48 81 129 171 225 267 348
18 6 3m4.4.4.5.5.5.5.5.5.5.5.5.7(2).7(2).7(2)6 18 34 48 81 129 171 225 267 348
19 6 3m4.4.4.5.5.5.5.5.5.5.5.5.7(2).7(2).7(2)6 18 34 48 81 129 171 225 267 348
20 6 3m4.4.4.5.5.5.5.5.5.5.5.5.7(2).7(2).7(2)6 18 34 48 81 129 171 225 267 348
21 6 3m4.4.4.5.5.5.5.5.5.5.5.5.7(2).7(2).7(2)6 18 34 48 81 129 171 225 267 348
22 6 3m4.4.4.5.5.5.5.5.5.5.5.5.7(2).7(2).7(2)6 18 34 48 81 129 171 225 267 348
23 6 3m4.4.4.5.5.5.5.5.5.5.5.5.7(2).7(2).7(2)6 18 34 48 81 129 171 225 267 348
24 6 3m4.4.4.5.5.5.5.5.5.5.5.5.7(2).7(2).7(2)6 18 34 48 81 129 171 225 267 348
25 6 3m4.4.4.5.5.5.5.5.5.5.5.5.7(2).7(2).7(2)6 18 34 48 81 129 171 225 267 348
26 6 3m4.4.4.5.5.5.5.5.5.5.5.5.7(2).7(2).7(2)6 18 34 48 81 129 171 225 267 348
27 6 3m4.4.4.5.5.5.5.5.5.5.5.5.7(2).7(2).7(2)6 18 34 48 81 129 171 225 267 348
28 6 3m4.4.4.5.5.5.5.5.5.5.5.5.7(2).7(2).7(2)6 18 34 48 81 129 171 225 267 348
29 6 3m4.4.4.5.5.5.5.5.5.5.5.5.7(2).7(2).7(2)6 18 34 48 81 129 171 225 267 348
30 6 3m4.4.4.5.5.5.5.5.5.5.5.5.7(2).7(2).7(2)6 18 34 48 81 129 171 225 267 348
31 6 3m4.4.4.5.5.5.5.5.5.5.5.5.7(2).7(2).7(2)6 18 34 48 81 129 171 225 267 348
32 5 mm25.5.5.5.5.5.6.6.8.85 12 30 54 86 127 156 243 264 346
33 5 mm25.5.5.5.5.5.6.6.8.85 12 30 54 86 127 156 243 264 346
34 5 mm25.5.5.5.5.5.6.6.8.85 12 30 54 86 127 156 243 264 346
35 5 mm25.5.5.5.5.5.6.6.8.85 12 30 54 86 127 156 243 264 346
36 5 mm25.5.5.5.5.5.6.6.8.85 12 30 54 86 127 156 243 264 346
37 5 mm25.5.5.5.5.5.6.6.8.85 12 30 54 86 127 156 243 264 346
38 5 mm25.5.5.5.5.5.6.6.8.85 12 30 54 86 127 156 243 264 346
39 5 mm25.5.5.5.5.5.6.6.8.85 12 30 54 86 127 156 243 264 346
40 5 mm25.5.5.5.5.5.6.6.8.85 12 30 54 86 127 156 243 264 346
41 5 mm25.5.5.5.5.5.6.6.8.85 12 30 54 86 127 156 243 264 346
42 5 mm25.5.5.5.5.5.6.6.8.85 12 30 54 86 127 156 243 264 346
43 5 mm25.5.5.5.5.5.6.6.8.85 12 30 54 86 127 156 243 264 346
44 5 mm25.5.5.5.5.5.6.6.8.85 12 30 54 86 127 156 243 264 346
45 5 mm25.5.5.5.5.5.6.6.8.85 12 30 54 86 127 156 243 264 346
46 5 mm25.5.5.5.5.5.6.6.8.85 12 30 54 86 127 156 243 264 346
47 5 mm25.5.5.5.5.5.6.6.8.85 12 30 54 86 127 156 243 264 346
48 5 mm25.5.5.5.5.5.6.6.8.85 12 30 54 86 127 156 243 264 346
49 5 mm25.5.5.5.5.5.6.6.8.85 12 30 54 86 127 156 243 264 346
50 5 mm25.5.5.5.5.5.6.6.8.85 12 30 54 86 127 156 243 264 346
51 5 mm25.5.5.5.5.5.6.6.8.85 12 30 54 86 127 156 243 264 346
52 5 mm25.5.5.5.5.5.6.6.8.85 12 30 54 86 127 156 243 264 346
53 5 mm25.5.5.5.5.5.6.6.8.85 12 30 54 86 127 156 243 264 346
54 5 mm25.5.5.5.5.5.6.6.8.85 12 30 54 86 127 156 243 264 346
55 5 mm25.5.5.5.5.5.6.6.8.85 12 30 54 86 127 156 243 264 346
56 5 mm25.5.5.5.5.5.6.6.8.85 12 30 54 86 127 156 243 264 346
57 5 mm25.5.5.5.5.5.6.6.8.85 12 30 54 86 127 156 243 264 346
58 5 mm25.5.5.5.5.5.6.6.8.85 12 30 54 86 127 156 243 264 346
59 5 mm25.5.5.5.5.5.6.6.8.85 12 30 54 86 127 156 243 264 346
60 5 mm25.5.5.5.5.5.6.6.8.85 12 30 54 86 127 156 243 264 346
61 5 mm25.5.5.5.5.5.6.6.8.85 12 30 54 86 127 156 243 264 346
62 5 mm25.5.5.5.5.5.6.6.8.85 12 30 54 86 127 156 243 264 346
63 5 mm25.5.5.5.5.5.6.6.8.85 12 30 54 86 127 156 243 264 346
64 5 mm25.5.5.5.5.5.6.6.8.85 12 30 54 86 127 156 243 264 346
65 5 mm25.5.5.5.5.5.6.6.8.85 12 30 54 86 127 156 243 264 346
66 5 mm25.5.5.5.5.5.6.6.8.85 12 30 54 86 127 156 243 264 346
67 5 mm25.5.5.5.5.5.6.6.8.85 12 30 54 86 127 156 243 264 346
68 5 mm25.5.5.5.5.5.6.6.8.85 12 30 54 86 127 156 243 264 346
69 5 mm25.5.5.5.5.5.6.6.8.85 12 30 54 86 127 156 243 264 346
70 5 mm25.5.5.5.5.5.6.6.8.85 12 30 54 86 127 156 243 264 346
71 5 mm25.5.5.5.5.5.6.6.8.85 12 30 54 86 127 156 243 264 346
72 5 mm25.5.5.5.5.5.6.6.8.85 12 30 54 86 127 156 243 264 346
73 5 mm25.5.5.5.5.5.6.6.8.85 12 30 54 86 127 156 243 264 346
74 5 mm25.5.5.5.5.5.6.6.8.85 12 30 54 86 127 156 243 264 346
75 5 mm25.5.5.5.5.5.6.6.8.85 12 30 54 86 127 156 243 264 346
76 5 mm25.5.5.5.5.5.6.6.8.85 12 30 54 86 127 156 243 264 346
77 5 mm25.5.5.5.5.5.6.6.8.85 12 30 54 86 127 156 243 264 346
78 5 mm25.5.5.5.5.5.6.6.8.85 12 30 54 86 127 156 243 264 346
79 5 mm25.5.5.5.5.5.6.6.8.85 12 30 54 86 127 156 243 264 346
80 3 m5(2).5(2).63 13 25 53 80 114 169 204 289 329
81 3 m5(2).5(2).63 13 25 53 80 114 169 204 289 329
82 3 m5(2).5(2).63 13 25 53 80 114 169 204 289 329
83 3 m5(2).5(2).63 13 25 53 80 114 169 204 289 329
84 3 m5(2).5(2).63 13 25 53 80 114 169 204 289 329
85 3 m5(2).5(2).63 13 25 53 80 114 169 204 289 329
86 3 m5(2).5(2).63 13 25 53 80 114 169 204 289 329
87 3 m5(2).5(2).63 13 25 53 80 114 169 204 289 329
88 3 m5(2).5(2).63 13 25 53 80 114 169 204 289 329
89 3 m5(2).5(2).63 13 25 53 80 114 169 204 289 329
90 3 m5(2).5(2).63 13 25 53 80 114 169 204 289 329
91 3 m5(2).5(2).63 13 25 53 80 114 169 204 289 329
92 3 m5(2).5(2).63 13 25 53 80 114 169 204 289 329
93 3 m5(2).5(2).63 13 25 53 80 114 169 204 289 329
94 3 m5(2).5(2).63 13 25 53 80 114 169 204 289 329
95 3 m5(2).5(2).63 13 25 53 80 114 169 204 289 329
96 3 m5(2).5(2).63 13 25 53 80 114 169 204 289 329
97 3 m5(2).5(2).63 13 25 53 80 114 169 204 289 329
98 3 m5(2).5(2).63 13 25 53 80 114 169 204 289 329
99 3 m5(2).5(2).63 13 25 53 80 114 169 204 289 329
100 3 m5(2).5(2).63 13 25 53 80 114 169 204 289 329
101 3 m5(2).5(2).63 13 25 53 80 114 169 204 289 329
102 3 m5(2).5(2).63 13 25 53 80 114 169 204 289 329
103 3 m5(2).5(2).63 13 25 53 80 114 169 204 289 329
104 3 m5(2).5(2).63 13 25 53 80 114 169 204 289 329
105 3 m5(2).5(2).63 13 25 53 80 114 169 204 289 329
106 3 m5(2).5(2).63 13 25 53 80 114 169 204 289 329
107 3 m5(2).5(2).63 13 25 53 80 114 169 204 289 329
108 3 m5(2).5(2).63 13 25 53 80 114 169 204 289 329
109 3 m5(2).5(2).63 13 25 53 80 114 169 204 289 329
110 3 m5(2).5(2).63 13 25 53 80 114 169 204 289 329
111 3 m5(2).5(2).63 13 25 53 80 114 169 204 289 329
112 3 m5(2).5(2).63 13 25 53 80 114 169 204 289 329
113 3 m5(2).5(2).63 13 25 53 80 114 169 204 289 329
114 3 m5(2).5(2).63 13 25 53 80 114 169 204 289 329
115 3 m5(2).5(2).63 13 25 53 80 114 169 204 289 329
116 3 m5(2).5(2).63 13 25 53 80 114 169 204 289 329
117 3 m5(2).5(2).63 13 25 53 80 114 169 204 289 329
118 3 m5(2).5(2).63 13 25 53 80 114 169 204 289 329
119 3 m5(2).5(2).63 13 25 53 80 114 169 204 289 329
120 3 m5(2).5(2).63 13 25 53 80 114 169 204 289 329
121 3 m5(2).5(2).63 13 25 53 80 114 169 204 289 329
122 3 m5(2).5(2).63 13 25 53 80 114 169 204 289 329
123 3 m5(2).5(2).63 13 25 53 80 114 169 204 289 329
124 3 m5(2).5(2).63 13 25 53 80 114 169 204 289 329
125 3 m5(2).5(2).63 13 25 53 80 114 169 204 289 329
126 3 m5(2).5(2).63 13 25 53 80 114 169 204 289 329
127 3 m5(2).5(2).63 13 25 53 80 114 169 204 289 329
128 3 m5(2).5(2).63 13 25 53 80 114 169 204 289 329
129 3 m5(2).5(2).63 13 25 53 80 114 169 204 289 329
130 3 m5(2).5(2).63 13 25 53 80 114 169 204 289 329
131 3 m5(2).5(2).63 13 25 53 80 114 169 204 289 329
132 3 m5(2).5(2).63 13 25 53 80 114 169 204 289 329
133 3 m5(2).5(2).63 13 25 53 80 114 169 204 289 329
134 3 m5(2).5(2).63 13 25 53 80 114 169 204 289 329
135 3 m5(2).5(2).63 13 25 53 80 114 169 204 289 329
136 3 m5(2).5(2).63 13 25 53 80 114 169 204 289 329
137 3 m5(2).5(2).63 13 25 53 80 114 169 204 289 329
138 3 m5(2).5(2).63 13 25 53 80 114 169 204 289 329
139 3 m5(2).5(2).63 13 25 53 80 114 169 204 289 329
140 3 m5(2).5(2).63 13 25 53 80 114 169 204 289 329
141 3 m5(2).5(2).63 13 25 53 80 114 169 204 289 329
142 3 m5(2).5(2).63 13 25 53 80 114 169 204 289 329
143 3 m5(2).5(2).63 13 25 53 80 114 169 204 289 329
144 3 m5(2).5(2).63 13 25 53 80 114 169 204 289 329
145 3 m5(2).5(2).63 13 25 53 80 114 169 204 289 329
146 3 m5(2).5(2).63 13 25 53 80 114 169 204 289 329
147 3 m5(2).5(2).63 13 25 53 80 114 169 204 289 329
148 3 m5(2).5(2).63 13 25 53 80 114 169 204 289 329
149 3 m5(2).5(2).63 13 25 53 80 114 169 204 289 329
150 3 m5(2).5(2).63 13 25 53 80 114 169 204 289 329
151 3 m5(2).5(2).63 13 25 53 80 114 169 204 289 329
152 3 m5(2).5(2).63 13 25 53 80 114 169 204 289 329
153 3 m5(2).5(2).63 13 25 53 80 114 169 204 289 329
154 3 m5(2).5(2).63 13 25 53 80 114 169 204 289 329
155 3 m5(2).5(2).63 13 25 53 80 114 169 204 289 329
156 3 m5(2).5(2).63 13 25 53 80 114 169 204 289 329
157 3 m5(2).5(2).63 13 25 53 80 114 169 204 289 329
158 3 m5(2).5(2).63 13 25 53 80 114 169 204 289 329
159 3 m5(2).5(2).63 13 25 53 80 114 169 204 289 329
160 3 m5(2).5(2).63 13 25 53 80 114 169 204 289 329
161 3 m5(2).5(2).63 13 25 53 80 114 169 204 289 329
162 3 m5(2).5(2).63 13 25 53 80 114 169 204 289 329
163 3 m5(2).5(2).63 13 25 53 80 114 169 204 289 329
164 3 m5(2).5(2).63 13 25 53 80 114 169 204 289 329
165 3 m5(2).5(2).63 13 25 53 80 114 169 204 289 329
166 3 m5(2).5(2).63 13 25 53 80 114 169 204 289 329
167 3 m5(2).5(2).63 13 25 53 80 114 169 204 289 329
168 3 m5(2).5(2).63 13 25 53 80 114 169 204 289 329
169 3 m5(2).5(2).63 13 25 53 80 114 169 204 289 329
170 3 m5(2).5(2).63 13 25 53 80 114 169 204 289 329
171 3 m5(2).5(2).63 13 25 53 80 114 169 204 289 329
172 3 m5(2).5(2).63 13 25 53 80 114 169 204 289 329
173 3 m5(2).5(2).63 13 25 53 80 114 169 204 289 329
174 3 m5(2).5(2).63 13 25 53 80 114 169 204 289 329
175 3 m5(2).5(2).63 13 25 53 80 114 169 204 289 329

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)
Fm-3m (No. 225)
Transitivity p, q (mofplus-deposit)
3, 4 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)
48
Repeat-unit factor (mofplus-deposit)
4
RCSR identification (mofplus-deposit)
ott
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 1 6 0 0 0 1 7 0 0 0 2 8 0 0 0 2 9 0 0 0 2 10 0 0 0 2 11 0 0 0 2 12 0 0 0 3 11 0 0 0 3 13 0 0 0 3 14 0 0 0 3 15 0 0 0 3 16 0 0 0 4 12 0 0 0 4 13 0 0 0 4 17 0 0 0 4 18 0 0 0 4 19 0 0 0 5 20 0 0 0 5 21 0 0 0 6 22 0 0 0 6 23 0 0 0 7 24 0 0 0 7 25 0 0 0 8 26 0 0 0 8 27 0 0 0 9 20 0 0 0 9 28 0 0 0 10 22 0 0 0 10 29 0 0 0 11 30 0 0 0 11 31 0 0 0 11 32 0 0 0 11 33 0 0 0 12 33 0 0 0 12 34 0 0 0 12 35 0 0 0 12 36 0 0 0 13 33 0 0 0 13 37 0 0 0 13 38 0 0 0 13 39 0 0 0 14 21 0 0 0 14 40 0 0 0 15 27 1 0 0 15 41 0 0 0 16 24 0 0 0 16 29 1 0 0 17 23 0 0 0 17 40 0 1 0 18 26 1 1 0 18 41 0 1 0 19 25 0 0 0 19 28 1 1 0 20 22 0 0 0 20 37 0 0 1 20 42 0 0 0 21 24 0 0 0 21 34 1 0 1 21 43 0 0 0 22 38 0 0 1 22 44 0 0 0 23 25 0 0 0 23 30 1 1 1 23 43 0 1 0 24 36 1 0 1 24 44 1 0 0 25 32 1 1 1 25 42 1 1 0 26 28 0 0 0 26 30 0 0 0 26 38 -1 -1 0 27 29 0 0 0 27 34 0 0 0 27 37 -1 0 0 28 31 0 0 0 28 39 -1 -1 0 29 35 0 0 0 29 39 -1 0 0 31 40 0 0 0 32 41 0 0 0 33 42 0 0 -1 33 43 -1 0 -1 33 44 0 0 -1 35 40 0 1 0 36 41 0 1 0 40 41 0 0 0
Key against the archive (mofplus-deposit)
the same key, character for character
TD10 as Systre prints it (mofplus-deposit)
1301
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)
1300.7272727272727
Genus (mofplus-deposit)
47
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)
1300.7272727272727
Genus (rcsr-archive-key)
47
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)
(5^2.6)6(5^6.6^2.8^2)3(4^3.5^9.7^3)2
Longest ring searched (mofplus-deposit)
40 Some angle of this net has no ring within that bound. Those angles are written * rather than given a ring that was never found.
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, 23, 24, 25, 26, 27, 28, 29, 30, 314.4.4.5.5.5.5.5.5.5.5.5.7(2).7(2).7(2) 3 angles have no ring of at most 40 edges 4.4.4.5.5.5.5.5.5.5.5.5.*.*.* 4^3.5^9.7^3 6 18 34 48 81 129 171 225 267 348
32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 795.5.5.5.5.5.6.6.8.8 5.5.5.5.5.5.6.6.12.12 5^6.6^2.8^2 5 12 30 54 86 127 156 243 264 346
80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 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, 1755(2).5(2).6 5(2).5(2).6 5^2.6 3 13 25 53 80 114 169 204 289 329

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

Net point symbol (rcsr-archive-key)
(5^2.6)6(5^6.6^2.8^2)3(4^3.5^9.7^3)2
Longest ring searched (rcsr-archive-key)
40 Some angle of this net has no ring within that bound. Those angles are written * rather than given a ring that was never found.
Computed by (rings, rcsr-archive-key)
mofpp.rings 2 — ok
Computed from the graph itself, one row per set of vertices carrying the same symbols. The cycle symbol follows the MOF+ convention — the shortest cycle at each angle — and is the one comparable with the stored column above; the RCSR ring symbol names the shortest ring at each angle, with * where none exists within the bound, and is a different quantity.
Vertices Cycle symbol (MOF+ convention) RCSR ring symbol Point symbol Coordination sequence
0, 1, 2, 3, 10, 11, 12, 324.4.4.5.5.5.5.5.5.5.5.5.7(2).7(2).7(2) 3 angles have no ring of at most 40 edges 4.4.4.5.5.5.5.5.5.5.5.5.*.*.* 4^3.5^9.7^3 6 18 34 48 81 129 171 225 267 348
4, 5, 6, 7, 8, 9, 13, 14, 15, 16, 17, 18, 29, 30, 31, 33, 34, 35, 36, 37, 38, 41, 42, 435(2).5(2).6 5(2).5(2).6 5^2.6 3 13 25 53 80 114 169 204 289 329
19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 39, 405.5.5.5.5.5.6.6.8.8 5.5.5.5.5.5.6.6.12.12 5^6.6^2.8^2 5 12 30 54 86 127 156 243 264 346

Cross-checks

Name against the computed key
corroborated-by-systre-key
Stored symbols against the computed ones
corroborated: 176 of 176 vertex rows agree with mofpp.rings v2 (mofplus-deposit).
Stored sequences against the computed ones
corroborated: 176 of 176 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
ott
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
1518 (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
2301 The order the ingest processed this net in, simplest first. A different number from the RCSR index above, meaning a different thing.