MOF++

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Net topology

tmd

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

JSON · mfpx

144 vertices and 290 edges in the unit cell. 51 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
I4/mmm (No. 139)
Cell lengths
a = 7.4496 Å, b = 7.4496 Å, c = 4.3309 Å
Cell angles
α = 90.00°, β = 90.00°, γ = 90.00°
Atoms in cell
144
Transitivity pqrs
9, 15, *, *
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 2 7 0 0 0 2 8 0 0 0 2 9 0 0 0 2 10 0 0 0 3 11 0 0 0 3 12 0 0 0 3 13 0 0 0 4 14 0 0 0 4 15 0 0 0 4 16 0 0 0 5 17 0 0 0 5 18 0 0 0 5 19 0 0 0 6 20 0 0 0 6 21 0 0 0 6 22 0 0 0 7 11 0 0 0 7 23 0 0 0 7 24 0 0 0 8 14 0 0 0 8 25 0 0 0 8 26 0 0 0 9 17 0 0 0 9 27 0 0 0 9 28 0 0 0 10 20 0 0 0 10 29 0 0 0 10 30 0 0 0 11 31 0 0 0 11 32 0 0 0 12 15 0 0 0 12 33 0 0 0 12 34 0 0 0 13 18 0 0 0 13 35 0 0 0 13 36 0 0 0 14 37 0 0 0 14 38 0 0 0 15 39 0 0 0 15 40 0 0 0 16 21 0 0 0 16 41 0 0 0 16 42 0 0 0 17 43 0 0 0 17 44 0 0 0 18 45 0 0 0 18 46 0 0 0 19 22 0 0 0 19 47 0 0 0 19 48 0 0 0 20 49 0 0 0 20 50 0 0 0 21 51 0 0 0 21 52 0 0 0 22 53 0 0 0 22 54 0 0 0 23 25 0 0 0 23 34 1 0 0 23 55 0 0 0 24 27 0 0 0 24 36 1 0 0 24 56 0 0 0 25 40 1 0 0 25 57 0 0 0 26 29 0 0 0 26 42 1 0 0 26 58 0 0 0 27 46 1 0 0 27 59 0 0 0 28 30 0 0 0 28 48 1 0 0 28 60 0 0 0 29 52 1 0 0 29 61 0 0 0 30 54 1 0 0 30 62 0 0 0 31 33 0 0 0 31 52 0 1 0 31 55 0 0 0 32 35 0 0 0 32 54 0 1 0 32 56 0 0 0 33 61 -1 1 0 33 63 0 0 0 34 36 0 0 0 34 49 -1 1 0 35 62 -1 1 0 35 64 0 0 0 36 50 -1 1 0 37 39 0 0 0 37 46 0 0 1 37 57 0 0 0 38 41 0 0 0 38 48 0 0 1 38 58 0 0 0 39 59 -1 0 1 39 63 0 0 0 40 42 0 0 0 40 43 -1 0 1 41 60 -1 0 1 41 65 0 0 0 42 44 -1 0 1 43 45 0 0 0 43 59 0 0 0 44 47 0 0 0 44 60 0 0 0 45 57 0 0 -1 45 64 0 0 0 46 48 0 0 0 47 58 0 0 -1 47 66 0 0 0 49 51 0 0 0 49 61 0 0 0 50 53 0 0 0 50 62 0 0 0 51 55 0 -1 0 51 65 0 0 0 52 54 0 0 0 53 56 0 -1 0 53 66 0 0 0 55 67 0 0 0 56 68 0 0 0 57 67 0 0 0 58 69 0 0 0 59 68 0 0 0 60 70 0 0 0 61 69 0 0 0 62 70 0 0 0 63 67 0 0 0 63 71 0 0 0 64 68 0 0 0 64 72 0 0 0 65 69 0 0 0 65 72 0 -1 1 66 70 0 0 0 66 71 1 -1 -1 67 72 0 0 1 68 71 1 0 -1 69 71 1 -1 0 70 72 1 -1 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
7e2d5fe3c98a6a6044ffa155de1f9adb (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: 144 of 144 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. 144 of 144 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 I4/mmm, 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 5 4mm5.5.5.5.5.5.5.5.8(3).8(3)5 16 32 52 80 109 146 197 244 308
1 5 4mm5.5.5.5.5.5.5.5.8(3).8(3)5 16 32 52 80 109 146 197 244 308
2 5 4mm5.5.5.5.5.5.5.5.8(3).8(3)5 16 32 52 80 109 146 197 244 308
3 5 4mm5.5.5.5.5.5.5.5.8(3).8(3)5 16 32 52 80 109 146 197 244 308
4 4 15.5.5.5.5.64 12 26 45 71 102 139 188 241 295
5 4 15.5.5.5.5.64 12 26 45 71 102 139 188 241 295
6 4 15.5.5.5.5.64 12 26 45 71 102 139 188 241 295
7 4 15.5.5.5.5.64 12 26 45 71 102 139 188 241 295
8 4 15.5.5.5.5.64 12 26 45 71 102 139 188 241 295
9 4 15.5.5.5.5.64 12 26 45 71 102 139 188 241 295
10 4 15.5.5.5.5.64 12 26 45 71 102 139 188 241 295
11 4 15.5.5.5.5.64 12 26 45 71 102 139 188 241 295
12 4 15.5.5.5.5.64 12 26 45 71 102 139 188 241 295
13 4 15.5.5.5.5.64 12 26 45 71 102 139 188 241 295
14 4 15.5.5.5.5.64 12 26 45 71 102 139 188 241 295
15 4 15.5.5.5.5.64 12 26 45 71 102 139 188 241 295
16 4 15.5.5.5.5.64 12 26 45 71 102 139 188 241 295
17 4 15.5.5.5.5.64 12 26 45 71 102 139 188 241 295
18 4 15.5.5.5.5.64 12 26 45 71 102 139 188 241 295
19 4 15.5.5.5.5.64 12 26 45 71 102 139 188 241 295
20 4 15.5.5.5.5.64 12 26 45 71 102 139 188 241 295
21 4 15.5.5.5.5.64 12 26 45 71 102 139 188 241 295
22 4 15.5.5.5.5.64 12 26 45 71 102 139 188 241 295
23 4 15.5.5.5.5.64 12 26 45 71 102 139 188 241 295
24 4 15.5.5.5.5.64 12 26 45 71 102 139 188 241 295
25 4 15.5.5.5.5.64 12 26 45 71 102 139 188 241 295
26 4 15.5.5.5.5.64 12 26 45 71 102 139 188 241 295
27 4 15.5.5.5.5.64 12 26 45 71 102 139 188 241 295
28 4 15.5.5.5.5.64 12 26 45 71 102 139 188 241 295
29 4 15.5.5.5.5.64 12 26 45 71 102 139 188 241 295
30 4 15.5.5.5.5.64 12 26 45 71 102 139 188 241 295
31 4 15.5.5.5.5.64 12 26 45 71 102 139 188 241 295
32 4 15.5.5.5.5.64 12 26 45 71 102 139 188 241 295
33 4 15.5.5.5.5.64 12 26 45 71 102 139 188 241 295
34 4 15.5.5.5.5.64 12 26 45 71 102 139 188 241 295
35 4 15.5.5.5.5.64 12 26 45 71 102 139 188 241 295
36 4 15.5.5.5.5.54 12 24 41 68 101 140 184 230 288
37 4 15.5.5.5.5.54 12 24 41 68 101 140 184 230 288
38 4 15.5.5.5.5.54 12 24 41 68 101 140 184 230 288
39 4 15.5.5.5.5.54 12 24 41 68 101 140 184 230 288
40 4 15.5.5.5.5.54 12 24 41 68 101 140 184 230 288
41 4 15.5.5.5.5.54 12 24 41 68 101 140 184 230 288
42 4 15.5.5.5.5.54 12 24 41 68 101 140 184 230 288
43 4 15.5.5.5.5.54 12 24 41 68 101 140 184 230 288
44 4 15.5.5.5.5.54 12 24 41 68 101 140 184 230 288
45 4 15.5.5.5.5.54 12 24 41 68 101 140 184 230 288
46 4 15.5.5.5.5.54 12 24 41 68 101 140 184 230 288
47 4 15.5.5.5.5.54 12 24 41 68 101 140 184 230 288
48 4 15.5.5.5.5.54 12 24 41 68 101 140 184 230 288
49 4 15.5.5.5.5.54 12 24 41 68 101 140 184 230 288
50 4 15.5.5.5.5.54 12 24 41 68 101 140 184 230 288
51 4 15.5.5.5.5.54 12 24 41 68 101 140 184 230 288
52 4 15.5.5.5.5.54 12 24 41 68 101 140 184 230 288
53 4 15.5.5.5.5.54 12 24 41 68 101 140 184 230 288
54 4 15.5.5.5.5.54 12 24 41 68 101 140 184 230 288
55 4 15.5.5.5.5.54 12 24 41 68 101 140 184 230 288
56 4 15.5.5.5.5.54 12 24 41 68 101 140 184 230 288
57 4 15.5.5.5.5.54 12 24 41 68 101 140 184 230 288
58 4 15.5.5.5.5.54 12 24 41 68 101 140 184 230 288
59 4 15.5.5.5.5.54 12 24 41 68 101 140 184 230 288
60 4 15.5.5.5.5.54 12 24 41 68 101 140 184 230 288
61 4 15.5.5.5.5.54 12 24 41 68 101 140 184 230 288
62 4 15.5.5.5.5.54 12 24 41 68 101 140 184 230 288
63 4 15.5.5.5.5.54 12 24 41 68 101 140 184 230 288
64 4 15.5.5.5.5.54 12 24 41 68 101 140 184 230 288
65 4 15.5.5.5.5.54 12 24 41 68 101 140 184 230 288
66 4 15.5.5.5.5.54 12 24 41 68 101 140 184 230 288
67 4 15.5.5.5.5.54 12 24 41 68 101 140 184 230 288
68 4 m5.5.5.5.5.54 13 28 46 73 105 144 183 235 295
69 4 m5.5.5.5.5.54 13 28 46 73 105 144 183 235 295
70 4 m5.5.5.5.5.54 13 28 46 73 105 144 183 235 295
71 4 m5.5.5.5.5.54 13 28 46 73 105 144 183 235 295
72 4 m5.5.5.5.5.54 13 28 46 73 105 144 183 235 295
73 4 m5.5.5.5.5.54 13 28 46 73 105 144 183 235 295
74 4 m5.5.5.5.5.54 13 28 46 73 105 144 183 235 295
75 4 m5.5.5.5.5.54 13 28 46 73 105 144 183 235 295
76 4 m5.5.5.5.5.54 13 28 46 73 105 144 183 235 295
77 4 m5.5.5.5.5.54 13 28 46 73 105 144 183 235 295
78 4 m5.5.5.5.5.54 13 28 46 73 105 144 183 235 295
79 4 m5.5.5.5.5.54 13 28 46 73 105 144 183 235 295
80 4 m5.5.5.5.5.54 13 28 46 73 105 144 183 235 295
81 4 m5.5.5.5.5.54 13 28 46 73 105 144 183 235 295
82 4 m5.5.5.5.5.54 13 28 46 73 105 144 183 235 295
83 4 m5.5.5.5.5.54 13 28 46 73 105 144 183 235 295
84 4 mm25.5.5.5.5.54 12 26 41 70 116 138 174 228 285
85 4 mm25.5.5.5.5.54 12 26 41 70 116 138 174 228 285
86 4 mm25.5.5.5.5.54 12 26 41 70 116 138 174 228 285
87 4 mm25.5.5.5.5.54 12 26 41 70 116 138 174 228 285
88 4 mm25.5.5.5.5.54 12 26 41 70 116 138 174 228 285
89 4 mm25.5.5.5.5.54 12 26 41 70 116 138 174 228 285
90 4 mm25.5.5.5.5.54 12 26 41 70 116 138 174 228 285
91 4 mm25.5.5.5.5.54 12 26 41 70 116 138 174 228 285
92 4 m5.5.5.5.5.64 12 25 43 71 103 141 187 233 296
93 4 m5.5.5.5.5.64 12 25 43 71 103 141 187 233 296
94 4 m5.5.5.5.5.64 12 25 43 71 103 141 187 233 296
95 4 m5.5.5.5.5.64 12 25 43 71 103 141 187 233 296
96 4 m5.5.5.5.5.64 12 25 43 71 103 141 187 233 296
97 4 m5.5.5.5.5.64 12 25 43 71 103 141 187 233 296
98 4 m5.5.5.5.5.64 12 25 43 71 103 141 187 233 296
99 4 m5.5.5.5.5.64 12 25 43 71 103 141 187 233 296
100 4 m5.5.5.5.5.64 12 25 43 71 103 141 187 233 296
101 4 m5.5.5.5.5.64 12 25 43 71 103 141 187 233 296
102 4 m5.5.5.5.5.64 12 25 43 71 103 141 187 233 296
103 4 m5.5.5.5.5.64 12 25 43 71 103 141 187 233 296
104 4 m5.5.5.5.5.64 12 25 43 71 103 141 187 233 296
105 4 m5.5.5.5.5.64 12 25 43 71 103 141 187 233 296
106 4 m5.5.5.5.5.64 12 25 43 71 103 141 187 233 296
107 4 m5.5.5.5.5.64 12 25 43 71 103 141 187 233 296
108 4 m5.5.5.5.5.54 12 24 40 69 109 144 177 232 282
109 4 m5.5.5.5.5.54 12 24 40 69 109 144 177 232 282
110 4 m5.5.5.5.5.54 12 24 40 69 109 144 177 232 282
111 4 m5.5.5.5.5.54 12 24 40 69 109 144 177 232 282
112 4 m5.5.5.5.5.54 12 24 40 69 109 144 177 232 282
113 4 m5.5.5.5.5.54 12 24 40 69 109 144 177 232 282
114 4 m5.5.5.5.5.54 12 24 40 69 109 144 177 232 282
115 4 m5.5.5.5.5.54 12 24 40 69 109 144 177 232 282
116 4 m5.5.5.5.5.54 12 24 40 69 109 144 177 232 282
117 4 m5.5.5.5.5.54 12 24 40 69 109 144 177 232 282
118 4 m5.5.5.5.5.54 12 24 40 69 109 144 177 232 282
119 4 m5.5.5.5.5.54 12 24 40 69 109 144 177 232 282
120 4 m5.5.5.5.5.54 12 24 40 69 109 144 177 232 282
121 4 m5.5.5.5.5.54 12 24 40 69 109 144 177 232 282
122 4 m5.5.5.5.5.54 12 24 40 69 109 144 177 232 282
123 4 m5.5.5.5.5.54 12 24 40 69 109 144 177 232 282
124 4 m5.5.5.5.5.64 12 25 42 66 96 134 186 232 284
125 4 m5.5.5.5.5.64 12 25 42 66 96 134 186 232 284
126 4 m5.5.5.5.5.64 12 25 42 66 96 134 186 232 284
127 4 m5.5.5.5.5.64 12 25 42 66 96 134 186 232 284
128 4 m5.5.5.5.5.64 12 25 42 66 96 134 186 232 284
129 4 m5.5.5.5.5.64 12 25 42 66 96 134 186 232 284
130 4 m5.5.5.5.5.64 12 25 42 66 96 134 186 232 284
131 4 m5.5.5.5.5.64 12 25 42 66 96 134 186 232 284
132 4 m5.5.5.5.5.64 12 25 42 66 96 134 186 232 284
133 4 m5.5.5.5.5.64 12 25 42 66 96 134 186 232 284
134 4 m5.5.5.5.5.64 12 25 42 66 96 134 186 232 284
135 4 m5.5.5.5.5.64 12 25 42 66 96 134 186 232 284
136 4 m5.5.5.5.5.64 12 25 42 66 96 134 186 232 284
137 4 m5.5.5.5.5.64 12 25 42 66 96 134 186 232 284
138 4 m5.5.5.5.5.64 12 25 42 66 96 134 186 232 284
139 4 m5.5.5.5.5.64 12 25 42 66 96 134 186 232 284
140 4 -42m5.5.5.5.6.64 12 26 44 64 94 136 176 234 292
141 4 -42m5.5.5.5.6.64 12 26 44 64 94 136 176 234 292
142 4 -42m5.5.5.5.6.64 12 26 44 64 94 136 176 234 292
143 4 -42m5.5.5.5.6.64 12 26 44 64 94 136 176 234 292

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)
I4/mmm (No. 139)
Transitivity p, q (mofplus-deposit)
9, 15 Kinds of node and of edge. r and s count the faces and tiles of a natural tiling, and none is derived here: the library this site runs Systre from cannot produce one for a 3-periodic net at all, and a 2-periodic net tiles the plane, which has faces and no tiles. They stay unknown rather than being filled.
Point-group order (mofplus-deposit)
16
Repeat-unit factor (mofplus-deposit)
2
RCSR identification (mofplus-deposit)
tmd
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 2 7 0 0 0 2 8 0 0 0 2 9 0 0 0 2 10 0 0 0 3 11 0 0 0 3 12 0 0 0 3 13 0 0 0 4 14 0 0 0 4 15 0 0 0 4 16 0 0 0 5 17 0 0 0 5 18 0 0 0 5 19 0 0 0 6 20 0 0 0 6 21 0 0 0 6 22 0 0 0 7 11 0 0 0 7 23 0 0 0 7 24 0 0 0 8 14 0 0 0 8 25 0 0 0 8 26 0 0 0 9 17 0 0 0 9 27 0 0 0 9 28 0 0 0 10 20 0 0 0 10 29 0 0 0 10 30 0 0 0 11 31 0 0 0 11 32 0 0 0 12 15 0 0 0 12 33 0 0 0 12 34 0 0 0 13 18 0 0 0 13 35 0 0 0 13 36 0 0 0 14 37 0 0 0 14 38 0 0 0 15 39 0 0 0 15 40 0 0 0 16 21 0 0 0 16 41 0 0 0 16 42 0 0 0 17 43 0 0 0 17 44 0 0 0 18 45 0 0 0 18 46 0 0 0 19 22 0 0 0 19 47 0 0 0 19 48 0 0 0 20 49 0 0 0 20 50 0 0 0 21 51 0 0 0 21 52 0 0 0 22 53 0 0 0 22 54 0 0 0 23 25 0 0 0 23 34 1 0 0 23 55 0 0 0 24 27 0 0 0 24 36 1 0 0 24 56 0 0 0 25 40 1 0 0 25 57 0 0 0 26 29 0 0 0 26 42 1 0 0 26 58 0 0 0 27 46 1 0 0 27 59 0 0 0 28 30 0 0 0 28 48 1 0 0 28 60 0 0 0 29 52 1 0 0 29 61 0 0 0 30 54 1 0 0 30 62 0 0 0 31 33 0 0 0 31 52 0 1 0 31 55 0 0 0 32 35 0 0 0 32 54 0 1 0 32 56 0 0 0 33 61 -1 1 0 33 63 0 0 0 34 36 0 0 0 34 49 -1 1 0 35 62 -1 1 0 35 64 0 0 0 36 50 -1 1 0 37 39 0 0 0 37 46 0 0 1 37 57 0 0 0 38 41 0 0 0 38 48 0 0 1 38 58 0 0 0 39 59 -1 0 1 39 63 0 0 0 40 42 0 0 0 40 43 -1 0 1 41 60 -1 0 1 41 65 0 0 0 42 44 -1 0 1 43 45 0 0 0 43 59 0 0 0 44 47 0 0 0 44 60 0 0 0 45 57 0 0 -1 45 64 0 0 0 46 48 0 0 0 47 58 0 0 -1 47 66 0 0 0 49 51 0 0 0 49 61 0 0 0 50 53 0 0 0 50 62 0 0 0 51 55 0 -1 0 51 65 0 0 0 52 54 0 0 0 53 56 0 -1 0 53 66 0 0 0 55 67 0 0 0 56 68 0 0 0 57 67 0 0 0 58 69 0 0 0 59 68 0 0 0 60 70 0 0 0 61 69 0 0 0 62 70 0 0 0 63 67 0 0 0 63 71 0 0 0 64 68 0 0 0 64 72 0 0 0 65 69 0 0 0 65 72 0 -1 1 66 70 0 0 0 66 71 1 -1 -1 67 72 0 0 1 68 71 1 0 -1 69 71 1 -1 0 70 72 1 -1 0
Key against the archive (mofplus-deposit)
the same key, character for character
TD10 as Systre prints it (mofplus-deposit)
1108
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)
1107.638888888889
Genus (mofplus-deposit)
74
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)
1107.638888888889
Genus (rcsr-archive-key)
74
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)(5^5.6)16(5^6)18(5^8.8^2)
Longest ring searched (mofplus-deposit)
40
Computed by (rings, mofplus-deposit)
mofpp.rings 2 — ok
Computed from the graph itself, one row per set of vertices carrying the same symbols. The cycle symbol follows the MOF+ convention — the shortest cycle at each angle — and is the one comparable with the stored column above; the RCSR ring symbol names the shortest ring at each angle, with * where none exists within the bound, and is a different quantity.
Vertices Cycle symbol (MOF+ convention) RCSR ring symbol Point symbol Coordination sequence
0, 1, 2, 35.5.5.5.5.5.5.5.8(3).8(3) 5.5.5.5.5.5.5.5.12(2).12(2) 5^8.8^2 5 16 32 52 80 109 146 197 244 308
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, 31, 32, 33, 34, 355.5.5.5.5.6 5.5.5.5.5.6 5^5.6 4 12 26 45 71 102 139 188 241 295
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, 675.5.5.5.5.5 5.5.5.5.5.5 5^6 4 12 24 41 68 101 140 184 230 288
68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 835.5.5.5.5.5 5.5.5.5.5.5 5^6 4 13 28 46 73 105 144 183 235 295
84, 85, 86, 87, 88, 89, 90, 915.5.5.5.5.5 5.5.5.5.5.5 5^6 4 12 26 41 70 116 138 174 228 285
92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 1075.5.5.5.5.6 5.5.5.5.5.6 5^5.6 4 12 25 43 71 103 141 187 233 296
108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 1235.5.5.5.5.5 5.5.5.5.5.5 5^6 4 12 24 40 69 109 144 177 232 282
124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 1395.5.5.5.5.6 5.5.5.5.5.6 5^5.6 4 12 25 42 66 96 134 186 232 284
140, 141, 142, 1435.5.5.5.6.6 5.5.5.5.6.6 5^4.6^2 4 12 26 44 64 94 136 176 234 292

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

Net point symbol (rcsr-archive-key)
(5^4.6^2)(5^5.6)16(5^6)18(5^8.8^2)
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, 15.5.5.5.5.5.5.5.8(3).8(3) 5.5.5.5.5.5.5.5.12(2).12(2) 5^8.8^2 5 16 32 52 80 109 146 197 244 308
2, 3, 4, 5, 6, 7, 8, 95.5.5.5.5.5 5.5.5.5.5.5 5^6 4 13 28 46 73 105 144 183 235 295
10, 13, 16, 195.5.5.5.5.5 5.5.5.5.5.5 5^6 4 12 26 41 70 116 138 174 228 285
11, 12, 14, 15, 17, 18, 20, 21, 22, 23, 24, 25, 26, 27, 28, 295.5.5.5.5.6 5.5.5.5.5.6 5^5.6 4 12 26 45 71 102 139 188 241 295
30, 31, 36, 37, 42, 43, 48, 495.5.5.5.5.5 5.5.5.5.5.5 5^6 4 12 24 40 69 109 144 177 232 282
32, 34, 38, 40, 44, 46, 50, 52, 54, 55, 56, 57, 58, 59, 60, 615.5.5.5.5.5 5.5.5.5.5.5 5^6 4 12 24 41 68 101 140 184 230 288
33, 35, 39, 41, 45, 47, 51, 535.5.5.5.5.6 5.5.5.5.5.6 5^5.6 4 12 25 43 71 103 141 187 233 296
62, 63, 64, 65, 66, 67, 68, 695.5.5.5.5.6 5.5.5.5.5.6 5^5.6 4 12 25 42 66 96 134 186 232 284
70, 715.5.5.5.6.6 5.5.5.5.6.6 5^4.6^2 4 12 26 44 64 94 136 176 234 292

Cross-checks

Name against the computed key
corroborated-by-systre-key
Stored symbols against the computed ones
corroborated: 144 of 144 vertex rows agree with mofpp.rings v2 (mofplus-deposit).
Stored sequences against the computed ones
corroborated: 144 of 144 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
tmd
Retrieved
2026-09-08
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
2072 (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
2287 The order the ingest processed this net in, simplest first. A different number from the RCSR index above, meaning a different thing.