Net topology

skl-a

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

JSON · mfpx

56 vertices and 120 edges in the unit cell. 40 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
P42/nmc (No. 137)
Cell lengths
a = 3.4561 Å, b = 3.4561 Å, c = 7.9283 Å
Cell angles
α = 90.00°, β = 90.00°, γ = 90.00°
Atoms in cell
56
Transitivity pqrs
5, 11, *, *
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 3 0 0 0 2 4 0 0 0 2 8 0 0 0 2 9 0 0 0 2 10 0 0 0 3 5 0 0 0 3 9 0 0 0 3 11 0 0 0 4 7 0 0 0 4 10 0 0 0 4 12 0 0 0 5 11 0 0 0 5 13 0 0 0 5 14 0 0 0 5 15 0 0 0 6 16 0 0 0 6 17 0 0 0 7 12 0 0 0 7 15 0 0 0 7 18 0 0 0 8 19 0 0 0 8 20 0 0 0 9 11 0 0 0 9 21 0 0 0 9 22 0 0 0 10 12 0 0 0 10 22 0 0 0 10 23 0 0 0 10 24 0 0 0 11 13 0 0 0 11 20 1 0 0 11 25 0 0 0 12 16 0 1 0 12 24 0 0 0 12 26 0 0 0 13 15 0 0 0 13 25 0 0 0 13 26 0 0 0 14 27 0 0 0 14 28 0 0 0 15 26 0 0 0 15 29 0 0 0 16 17 0 0 0 17 30 0 0 0 18 31 0 0 0 18 32 0 0 0 19 20 0 0 0 19 33 0 0 0 21 34 0 0 0 21 35 0 0 0 22 24 0 0 0 22 25 0 0 0 22 36 0 0 0 23 37 0 0 0 23 38 0 0 0 24 25 0 0 0 24 26 0 0 0 25 26 0 0 0 25 38 1 0 0 26 27 0 1 0 27 28 0 0 0 28 39 0 0 0 29 40 0 0 0 29 41 0 0 0 30 39 -1 0 0 30 42 0 0 0 30 43 0 0 0 30 44 0 0 0 31 32 0 0 0 31 44 0 0 0 32 42 0 1 0 33 45 0 0 0 33 46 0 0 0 33 47 0 0 0 33 48 0 0 0 34 35 0 0 0 34 47 0 0 0 35 46 1 0 0 36 49 0 0 0 36 50 0 0 0 37 38 0 0 0 37 48 0 1 0 39 51 0 0 0 39 52 0 0 0 39 53 0 0 0 40 41 0 0 0 40 53 0 0 0 41 51 0 1 0 42 43 0 0 0 42 51 -1 0 0 42 54 0 0 0 42 55 0 0 0 43 44 0 0 0 43 47 0 0 1 43 55 0 0 0 44 45 0 0 1 44 47 0 0 1 44 53 -1 0 0 45 46 0 0 0 45 47 0 0 0 45 53 -1 0 -1 46 52 -1 0 -1 46 53 -1 0 -1 46 56 0 0 0 47 55 0 0 -1 48 54 0 0 -1 48 55 0 0 -1 48 56 0 0 0 49 50 0 0 0 49 55 0 1 -1 50 56 1 1 0 51 52 0 0 0 51 54 1 0 0 51 56 1 0 1 52 53 0 0 0 52 56 1 0 1 54 55 0 0 0 54 56 0 0 1
(rcsr)The canonical Systre key, copied verbatim from the local RCSR Systre archive of 2019-06-01. Systre 19.6.0 was run here on the MOF+ deposit, the graph of the uploaded topology file and computed a different key. Both are served, neither is edited to agree with the other, and the difference is itself the finding: the graph this record deposits and the entry the archive states are not the same net. The computed key is under topology.symmetry, beside the graph it came from, and key_matches_archive records the comparison. The checksum beside this key is the one the archive carries, copied from the same block and neither computed nor verified here.
Checksum
bdc7ce72f5dfe3f2987ff9f41ff55cf4 (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: 56 of 56 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. Not recorded. A vertex's site symmetry is its Wyckoff position in the net's maximum-symmetry embedding, and it is computed here from the net's own graph rather than read from any source — neither source states one. It is blank on this record because that computation could not be made for it, not because the vertices have no site: the commonest reasons are a 2-periodic net (whose symmetry is a plane group, and the Wyckoff tables used are the 230 space groups), a graph that resolved into more than one connected net or into an interpenetrated array, a net Systre refused or could not finish, and a net whose barycentric placement puts distinct vertices on one point. The run report names which.

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 —3.3.4.4.4.5(2).8.8.9(2).10(4)5 13 24 47 78 117 154 201 262 348
1 5 —3.3.4.4.4.5(2).8.8.9(2).10(4)5 13 24 47 78 117 154 201 262 348
2 5 —3.3.4.4.4.5(2).8.8.9(2).10(4)5 13 24 47 78 117 154 201 262 348
3 5 —3.3.4.4.4.5(2).8.8.9(2).10(4)5 13 24 47 78 117 154 201 262 348
4 5 —3.3.4.4.4.5(2).8.8.9(2).10(4)5 13 24 47 78 117 154 201 262 348
5 5 —3.3.4.4.4.5(2).8.8.9(2).10(4)5 13 24 47 78 117 154 201 262 348
6 5 —3.3.4.4.4.5(2).8.8.9(2).10(4)5 13 24 47 78 117 154 201 262 348
7 5 —3.3.4.4.4.5(2).8.8.9(2).10(4)5 13 24 47 78 117 154 201 262 348
8 5 —3.3.4.4.5(2).5(2).6.7.8.85 13 26 47 75 112 157 203 272 329
9 5 —3.3.4.4.5(2).5(2).6.7.8.85 13 26 47 75 112 157 203 272 329
10 5 —3.3.4.4.5(2).5(2).6.7.8.85 13 26 47 75 112 157 203 272 329
11 5 —3.3.4.4.5(2).5(2).6.7.8.85 13 26 47 75 112 157 203 272 329
12 5 —3.3.4.4.5(2).5(2).6.7.8.85 13 26 47 75 112 157 203 272 329
13 5 —3.3.4.4.5(2).5(2).6.7.8.85 13 26 47 75 112 157 203 272 329
14 5 —3.3.4.4.5(2).5(2).6.7.8.85 13 26 47 75 112 157 203 272 329
15 5 —3.3.4.4.5(2).5(2).6.7.8.85 13 26 47 75 112 157 203 272 329
16 5 —3.3.4.4.5(2).5(2).6.7.8.85 13 26 47 75 112 157 203 272 329
17 5 —3.3.4.4.5(2).5(2).6.7.8.85 13 26 47 75 112 157 203 272 329
18 5 —3.3.4.4.5(2).5(2).6.7.8.85 13 26 47 75 112 157 203 272 329
19 5 —3.3.4.4.5(2).5(2).6.7.8.85 13 26 47 75 112 157 203 272 329
20 5 —3.3.4.4.5(2).5(2).6.7.8.85 13 26 47 75 112 157 203 272 329
21 5 —3.3.4.4.5(2).5(2).6.7.8.85 13 26 47 75 112 157 203 272 329
22 5 —3.3.4.4.5(2).5(2).6.7.8.85 13 26 47 75 112 157 203 272 329
23 5 —3.3.4.4.5(2).5(2).6.7.8.85 13 26 47 75 112 157 203 272 329
24 6 —3.3.3.4.4.4.5.5.5.5.6.6.8.8.9(2)6 17 30 45 76 121 160 211 274 342
25 6 —3.3.3.4.4.4.5.5.5.5.6.6.8.8.9(2)6 17 30 45 76 121 160 211 274 342
26 6 —3.3.3.4.4.4.5.5.5.5.6.6.8.8.9(2)6 17 30 45 76 121 160 211 274 342
27 6 —3.3.3.4.4.4.5.5.5.5.6.6.8.8.9(2)6 17 30 45 76 121 160 211 274 342
28 6 —3.3.3.4.4.4.5.5.5.5.6.6.8.8.9(2)6 17 30 45 76 121 160 211 274 342
29 6 —3.3.3.4.4.4.5.5.5.5.6.6.8.8.9(2)6 17 30 45 76 121 160 211 274 342
30 6 —3.3.3.4.4.4.5.5.5.5.6.6.8.8.9(2)6 17 30 45 76 121 160 211 274 342
31 6 —3.3.3.4.4.4.5.5.5.5.6.6.8.8.9(2)6 17 30 45 76 121 160 211 274 342
32 3 —3.6.73 6 18 39 66 101 139 191 246 298
33 3 —3.6.73 6 18 39 66 101 139 191 246 298
34 3 —3.6.73 6 18 39 66 101 139 191 246 298
35 3 —3.6.73 6 18 39 66 101 139 191 246 298
36 3 —3.6.73 6 18 39 66 101 139 191 246 298
37 3 —3.6.73 6 18 39 66 101 139 191 246 298
38 3 —3.6.73 6 18 39 66 101 139 191 246 298
39 3 —3.6.73 6 18 39 66 101 139 191 246 298
40 3 —3.6.73 6 18 39 66 101 139 191 246 298
41 3 —3.6.73 6 18 39 66 101 139 191 246 298
42 3 —3.6.73 6 18 39 66 101 139 191 246 298
43 3 —3.6.73 6 18 39 66 101 139 191 246 298
44 3 —3.6.73 6 18 39 66 101 139 191 246 298
45 3 —3.6.73 6 18 39 66 101 139 191 246 298
46 3 —3.6.73 6 18 39 66 101 139 191 246 298
47 3 —3.6.73 6 18 39 66 101 139 191 246 298
48 3 —3.8.83 6 19 40 69 106 145 192 255 302
49 3 —3.8.83 6 19 40 69 106 145 192 255 302
50 3 —3.8.83 6 19 40 69 106 145 192 255 302
51 3 —3.8.83 6 19 40 69 106 145 192 255 302
52 3 —3.8.83 6 19 40 69 106 145 192 255 302
53 3 —3.8.83 6 19 40 69 106 145 192 255 302
54 3 —3.8.83 6 19 40 69 106 145 192 255 302
55 3 —3.8.83 6 19 40 69 106 145 192 255 302

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)
P42/nmc (No. 137) (second origin choice)
Transitivity p, q (mofplus-deposit)
5, 11 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)
1
RCSR identification (mofplus-deposit)
none stated
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 3 0 0 0 2 4 0 0 0 2 8 0 0 0 2 9 0 0 0 3 10 0 0 0 3 11 0 0 0 3 12 0 0 0 4 13 0 0 0 4 14 0 0 0 4 15 0 0 0 5 6 0 0 0 5 11 0 0 0 5 16 0 0 0 5 17 0 0 0 6 14 0 0 0 6 18 0 0 0 6 19 0 0 0 7 8 1 0 0 7 10 1 0 0 7 13 1 0 0 7 20 0 0 0 7 21 0 0 0 8 10 0 0 0 8 13 0 0 0 8 22 0 0 0 9 23 0 0 0 9 24 0 0 0 10 11 0 0 0 10 25 0 0 0 11 14 0 1 0 11 16 0 0 0 11 20 -1 0 0 12 15 0 1 0 12 26 0 0 0 13 14 0 0 0 13 27 0 0 0 14 18 0 0 0 14 21 -1 0 0 15 26 0 -1 0 16 18 0 0 0 16 20 -1 0 0 16 28 0 0 0 17 29 0 0 0 17 30 0 0 0 18 21 -1 0 0 18 31 0 0 0 19 32 0 0 0 19 33 0 0 0 20 21 0 0 0 20 30 0 0 0 21 33 0 0 0 22 34 0 0 0 22 35 0 0 0 23 24 0 0 0 23 36 0 0 0 24 37 0 0 0 25 27 0 1 0 25 38 0 0 0 26 39 0 0 0 27 38 0 -1 0 28 40 0 0 0 28 41 0 0 0 29 30 0 0 0 29 42 0 0 0 31 43 0 0 0 31 44 0 0 0 32 33 0 0 0 32 45 0 0 0 34 35 0 0 0 34 46 0 0 0 35 47 0 0 0 36 39 0 0 0 36 46 1 0 0 36 48 0 0 0 36 49 0 0 0 37 39 0 -1 0 37 47 1 0 0 37 48 0 -1 0 37 50 0 0 0 38 51 0 0 0 39 48 0 0 0 39 51 1 0 0 40 41 0 0 0 40 52 0 0 0 41 53 0 0 0 42 45 0 1 0 42 49 0 0 1 42 52 1 0 0 42 53 0 0 0 43 44 0 0 0 43 54 0 0 0 44 55 0 0 0 45 50 0 0 1 45 54 1 0 0 45 55 0 0 0 46 49 -1 0 0 46 51 0 0 0 46 56 0 0 0 47 50 -1 0 0 47 51 0 -1 0 47 56 0 -1 0 48 53 0 0 -1 48 55 0 1 -1 48 56 0 0 0 49 50 0 0 0 49 52 1 0 -1 49 53 0 0 -1 50 54 1 0 -1 50 55 0 0 -1 51 56 0 0 0 52 54 0 1 0 52 56 0 0 1 53 55 0 1 0 54 56 0 -1 1
Key against the archive (mofplus-deposit)
a different key
TD10 as Systre prints it (mofplus-deposit)
1195
Computed by (symmetry, mofplus-deposit)
systre 19.6.0 sha256:0d272e98a1a21669bc67a809b95c014ba2a2fb39a6fd2147039201216ab0d48d options:--systreKey wrapper:2 — ok

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

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 (rcsr-archive-key)
P42/nmc (No. 137) (second origin choice)
Transitivity p, q (rcsr-archive-key)
5, 11 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 (rcsr-archive-key)
16
Repeat-unit factor (rcsr-archive-key)
1
RCSR identification (rcsr-archive-key)
skl-a
Computed Systre key (rcsr-archive-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 3 0 0 0 2 4 0 0 0 2 8 0 0 0 2 9 0 0 0 2 10 0 0 0 3 5 0 0 0 3 9 0 0 0 3 11 0 0 0 4 7 0 0 0 4 10 0 0 0 4 12 0 0 0 5 11 0 0 0 5 13 0 0 0 5 14 0 0 0 5 15 0 0 0 6 16 0 0 0 6 17 0 0 0 7 12 0 0 0 7 15 0 0 0 7 18 0 0 0 8 19 0 0 0 8 20 0 0 0 9 11 0 0 0 9 21 0 0 0 9 22 0 0 0 10 12 0 0 0 10 22 0 0 0 10 23 0 0 0 10 24 0 0 0 11 13 0 0 0 11 20 1 0 0 11 25 0 0 0 12 16 0 1 0 12 24 0 0 0 12 26 0 0 0 13 15 0 0 0 13 25 0 0 0 13 26 0 0 0 14 27 0 0 0 14 28 0 0 0 15 26 0 0 0 15 29 0 0 0 16 17 0 0 0 17 30 0 0 0 18 31 0 0 0 18 32 0 0 0 19 20 0 0 0 19 33 0 0 0 21 34 0 0 0 21 35 0 0 0 22 24 0 0 0 22 25 0 0 0 22 36 0 0 0 23 37 0 0 0 23 38 0 0 0 24 25 0 0 0 24 26 0 0 0 25 26 0 0 0 25 38 1 0 0 26 27 0 1 0 27 28 0 0 0 28 39 0 0 0 29 40 0 0 0 29 41 0 0 0 30 39 -1 0 0 30 42 0 0 0 30 43 0 0 0 30 44 0 0 0 31 32 0 0 0 31 44 0 0 0 32 42 0 1 0 33 45 0 0 0 33 46 0 0 0 33 47 0 0 0 33 48 0 0 0 34 35 0 0 0 34 47 0 0 0 35 46 1 0 0 36 49 0 0 0 36 50 0 0 0 37 38 0 0 0 37 48 0 1 0 39 51 0 0 0 39 52 0 0 0 39 53 0 0 0 40 41 0 0 0 40 53 0 0 0 41 51 0 1 0 42 43 0 0 0 42 51 -1 0 0 42 54 0 0 0 42 55 0 0 0 43 44 0 0 0 43 47 0 0 1 43 55 0 0 0 44 45 0 0 1 44 47 0 0 1 44 53 -1 0 0 45 46 0 0 0 45 47 0 0 0 45 53 -1 0 -1 46 52 -1 0 -1 46 53 -1 0 -1 46 56 0 0 0 47 55 0 0 -1 48 54 0 0 -1 48 55 0 0 -1 48 56 0 0 0 49 50 0 0 0 49 55 0 1 -1 50 56 1 1 0 51 52 0 0 0 51 54 1 0 0 51 56 1 0 1 52 53 0 0 0 52 56 1 0 1 54 55 0 0 0 54 56 0 0 1
Key against the archive (rcsr-archive-key)
the same key, character for character
TD10 as Systre prints it (rcsr-archive-key)
746
Computed by (symmetry, rcsr-archive-key)
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)
1195.2857142857142
Genus (mofplus-deposit)
65
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)
745.7142857142857
Genus (rcsr-archive-key)
69
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)
(3.6.7)2(3.8^2)(3^2.4^2.5^2.6.7.8^2)2(3^2.4^3.5.8^2.9.10)(3^3.4^3.5^4.6^2.8^2.9)
Longest ring searched (mofplus-deposit)
40
Computed by (rings, mofplus-deposit)
mofpp.rings 2 — ok
Computed from the graph itself, one row per set of vertices carrying the same symbols. The cycle symbol follows the MOF+ convention — the shortest cycle at each angle — and is the one comparable with the stored column above; the RCSR ring symbol names the shortest ring at each angle, with * where none exists within the bound, and is a different quantity.
Vertices Cycle symbol (MOF+ convention) RCSR ring symbol Point symbol Coordination sequence
0, 1, 2, 3, 4, 5, 6, 73.3.4.4.4.5(2).8.8.9(2).10(4) 3.3.4.4.7(2).7(2).8.8.10(2).10(2) 3^2.4^3.5.8^2.9.10 5 13 24 47 78 117 154 201 262 348
8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 233.3.4.4.5(2).5(2).6.7.8.8 3.3.4.4.6.6.7(2).8.10.10 3^2.4^2.5^2.6.7.8^2 5 13 26 47 75 112 157 203 272 329
24, 25, 26, 27, 28, 29, 30, 313.3.3.4.4.4.5.5.5.5.6.6.8.8.9(2) 3.3.3.4.4.6.6.6.7.7.7(2).7(2).10.10.10(2) 3^3.4^3.5^4.6^2.8^2.9 6 17 30 45 76 121 160 211 274 342
32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 473.6.7 3.6.8 3.6.7 3 6 18 39 66 101 139 191 246 298
48, 49, 50, 51, 52, 53, 54, 553.8.8 3.8.8 3.8^2 3 6 19 40 69 106 145 192 255 302

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

Net point symbol (rcsr-archive-key)
(3.8^2)3(3^2.4^3.5.8^2.9.10)(3^5.4^5)(3^4.4^4.5^2.8^2.9^2.10)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, 4, 9, 10, 11, 24, 25, 41, 43, 45, 46, 50, 52, 54, 553.3.3.3.4.4.4.4.5(2).5(2).8.8.9.9.10(2) 1 angle has no ring of at most 40 edges 3.3.3.3.4.5.5.6.7(2).7(3).8.8.12(2).14(4).* 3^4.4^4.5^2.8^2.9^2.10 6 11 17 26 47 81 106 120 144 203
2, 3, 12, 23, 42, 44, 51, 533.3.3.3.3.4.4.4.4.4 3.3.3.3.3.6.7.7.7(4).7(4) 3^5.4^5 5 12 18 22 47 87 106 112 140 196
5, 7, 13, 15, 19, 22, 26, 30, 31, 33, 34, 37, 39, 40, 48, 493.8.8 3.8.8 3.8^2 3 7 18 32 39 58 88 130 173 181
6, 8, 14, 21, 29, 32, 38, 473.3.4.4.4.5(2).8.8.9(2).10(2) 3.3.4.4.5.7(2).8.8.12(2).14(8) 3^2.4^3.5.8^2.9.10 5 12 16 26 48 74 107 119 143 208
16, 17, 18, 20, 27, 28, 35, 363.8.8 3.8.8 3.8^2 3 6 20 30 39 61 80 139 171 181

Cross-checks

Name against the computed key
conflicting-systre-key The Systre key computed from the MOF+ deposit is not the key the RCSR archive carries under this name: the two sources hold different nets, or one of them is recorded under the wrong name. Both keys are in the analyses beside this record.
Stored symbols against the computed ones
corroborated: 56 of 56 vertex rows agree with mofpp.rings v2 (mofplus-deposit).
Stored sequences against the computed ones
corroborated: 56 of 56 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

Curation calls

The two sources hold different nets under this symbol, and the symbol was ruled to stay with the RCSR archive key.

A curation call is a disagreement inside this record, derived when the record is served from values the record already carries. This one has been decided: the ruling below, who took it and when it was taken are part of the call, and so is what follows from it for a reader. A decision changes what this site presents and nothing else. Neither source was edited, and nothing was written to this collection.

What this record claims (two-sources-hold-different-nets-under-one-symbol)
skl-a — The name. Both sources use the symbol skl-a — the RCSR archive states a canonical key under it, MOF+ deposits a topology file under it — and the ingest reconciled the two records on that string alone. That the two hold the same net is what one name asserts; neither source states it, and nothing but this comparison ever tested it. Recorded on this row as name_match: conflicting-systre-key
What was measured (two-sources-hold-different-nets-under-one-symbol)
not the same net — Systre 19.6.0 computed the canonical key of the graph this record carries on one basis, and it is not the key the RCSR archive carries under this name. The graph it computed from is the MOF+ deposit, the graph of the uploaded topology file. A canonical key names a net uniquely, so these are two different nets under one symbol and not two spellings of one net. Neither key was edited to agree with the other. systre 19.6.0 sha256:0d272e98a1a21669bc67a809b95c014ba2a2fb39a6fd2147039201216ab0d48d options:--systreKey wrapper:2 (mofplus-deposit)
Evidence (two-sources-hold-different-nets-under-one-symbol)
Computed here, from the two keys this record serves: the key computed from the MOF+ deposit, the graph of the uploaded topology file describes a net of 56 vertices and 120 edges, 24 of degree 3, 24 of degree 5, 8 of degree 6; the key the RCSR archive carries under this name describes a net of 56 vertices and 124 edges, 24 of degree 3, 16 of degree 5, 16 of degree 6. Both are P42/nmc graphs of 56 vertices, which is why one name over the two was never obviously wrong. systre 19.6.0 sha256:0d272e98a1a21669bc67a809b95c014ba2a2fb39a6fd2147039201216ab0d48d options:--systreKey wrapper:2 (mofplus-deposit) Computed here, on the two bases separately: TD10 1195.29 against 745.71 — to two decimals, with the exact values beside this sentence — and genus 65 against 69. Two descriptions of one net agree on both of those; these do not. mofpp.invariants None (None) Computed here: the built-in RCSR archive inside Systre 19.6.0 identifies the net of the MOF+ deposit, the graph of the uploaded topology file as no RCSR net at all. systre 19.6.0 sha256:0d272e98a1a21669bc67a809b95c014ba2a2fb39a6fd2147039201216ab0d48d options:--systreKey wrapper:2 (mofplus-deposit) The basis of the ruling, established elsewhere and not recomputed here: the MOF+ deposit is a genuine augmented net of the net skl. Augmentation was implemented in the topo addon of molsys (coordination_figure and augment) and validated against 14 of 14 RCSR net and augmented-net pairs, 8 of whose parents carry self-loops. Contracting this deposit back — every vertex carries exactly one original edge, and the figures come out as eight triangles and two 16-vertex clusters — yields a graph whose canonical key equals the key of skl, and which Systre identifies as skl. The other half of the basis, also established elsewhere: the RCSR archive net of this name is not an augmentation of skl. Under the decomposition its own eight triangles force, 8 of its 56 vertices carry no original edge at all, which matches the four self-loops of skl doubled. Every other loop-bearing pair tested augments correctly in RCSR, so this is specific to this record and not a general property of how that archive stores augmented nets.
What the record holds (two-sources-hold-different-nets-under-one-symbol)
The computed columns of this record (catenated, p, q, spacegroup, spacegroup_number) are attributed to the RCSR archive key, which is what the ruling requires: the identity of the symbol, and the columns that describe it, stay with the archive net. What was computed from the deposit is still served in full, under its own basis, in the topology block.
Decided (two-sources-hold-different-nets-under-one-symbol)
Which of the two graphs is the net this symbol names: the topology MOF+ deposited under it, or the net the RCSR archive key states?
  • The symbol follows the deposit. The record is about what MOF+ uploaded, and the archive key under the same name belongs to a different record.
  • The symbol follows the archive key. The identity of an RCSR symbol is the archive net, and the deposited file is a different net that this collection holds and describes as such rather than as this symbol.
The identity of the symbol stays with the RCSR archive key. The deposited topology is a different net and is not served as the topology of this symbol. Decided by the repository owner on 2026-09-12. What follows for a reader: values computed from the archive key describe the net this symbol names, and values computed from the deposit describe the deposited file. Both stay on the record, each under its own basis in the topology block, and neither is presented as the other. Two follow-ups are part of this ruling and neither is a local edit: MOF+ is to be asked to re-deposit or rename that record, and the missing loop-derived edges are to be reported to RCSR. This project does not correct the data of another resource inside its own copy, so nothing was changed here and no database was written. Decided. The ruling, the role that took it and the date are stated with this call; the last entries under evidence are what the ruling rests on, and they were established elsewhere rather than measured here.
State (two-sources-hold-different-nets-under-one-symbol)
settled — Nothing was written to any record. The decision changes what this site presents and not what either source holds: what the ruling set aside is still stored, still served verbatim under its own name, and still quoted in this call as the evidence for the finding. No column was edited, no row was rewritten, and the values at the sources are untouched. A decision is served here, not applied to the data.

Provenance

Source
rcsr+mofplus — reconciled from both, field by field
Identifier at the source
skl-a
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
1757 (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
1945 The order the ingest processed this net in, simplest first. A different number from the RCSR index above, meaning a different thing.