MOF++

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Net topology

gdl

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

JSON · mfpx

80 vertices and 216 edges in the unit cell. 48 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
not recorded
Cell lengths
a = 4.2427 Å, b = 4.2427 Å, c = 4.2427 Å
Cell angles
α = 90.00°, β = 90.00°, γ = 90.00°
Atoms in cell
80
Transitivity pqrs
not recorded
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
noneNo Systre key: the name gdl is not one of the 2930 symbols in the RCSR Systre archive of 2019-06-01, and the MOF+ service supplies no canonical key at all, so neither source we read states one for this net. None is computed here either, and not for want of trying: Systre 19.6.0 was run on the MOF+ deposit, the graph of the uploaded topology file, where the run refused (Systre ERROR (STRUCTURE): Structure has collisions between next-nearest neighbors. Systre does not currently support such structures.. (last status: Computing barycentric placement...)). Each run is recorded under topology.symmetry with its status and its reason: a refusal and a time limit are answers about the run, not a finding that this net has no canonical form.
Checksum
not recorded

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: 80 of 80 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 —3.3.3.3.4.4.4.4.4.45 16 20 60 60 136 120 252 200 360
1 5 —3.3.3.3.4.4.4.4.4.45 16 20 60 60 136 120 252 200 360
2 5 —3.3.3.3.4.4.4.4.4.45 16 20 60 60 136 120 252 200 360
3 5 —3.3.3.3.4.4.4.4.4.45 16 20 60 60 136 120 252 200 360
4 5 —3.3.3.3.4.4.4.4.4.45 16 20 60 60 136 120 252 200 360
5 5 —3.3.3.3.4.4.4.4.4.45 16 20 60 60 136 120 252 200 360
6 5 —3.3.3.3.4.4.4.4.4.45 16 20 60 60 136 120 252 200 360
7 5 —3.3.3.3.4.4.4.4.4.45 16 20 60 60 136 120 252 200 360
8 5 —3.3.3.3.4.4.4.4.4.45 16 20 60 60 136 120 252 200 360
9 5 —3.3.3.3.4.4.4.4.4.45 16 20 60 60 136 120 252 200 360
10 5 —3.3.3.3.4.4.4.4.4.45 16 20 60 60 136 120 252 200 360
11 5 —3.3.3.3.4.4.4.4.4.45 16 20 60 60 136 120 252 200 360
12 5 —3.3.3.3.4.4.4.4.4.45 16 20 60 60 136 120 252 200 360
13 5 —3.3.3.3.4.4.4.4.4.45 16 20 60 60 136 120 252 200 360
14 5 —3.3.3.3.4.4.4.4.4.45 16 20 60 60 136 120 252 200 360
15 5 —3.3.3.3.4.4.4.4.4.45 16 20 60 60 136 120 252 200 360
16 5 —3.3.3.3.4.4.4.4.4.45 16 20 60 60 136 120 252 200 360
17 5 —3.3.3.3.4.4.4.4.4.45 16 20 60 60 136 120 252 200 360
18 5 —3.3.3.3.4.4.4.4.4.45 16 20 60 60 136 120 252 200 360
19 5 —3.3.3.3.4.4.4.4.4.45 16 20 60 60 136 120 252 200 360
20 5 —3.3.3.3.4.4.4.4.4.45 16 20 60 60 136 120 252 200 360
21 5 —3.3.3.3.4.4.4.4.4.45 16 20 60 60 136 120 252 200 360
22 5 —3.3.3.3.4.4.4.4.4.45 16 20 60 60 136 120 252 200 360
23 5 —3.3.3.3.4.4.4.4.4.45 16 20 60 60 136 120 252 200 360
24 5 —3.3.3.3.4.4.4.4.4.45 16 20 60 60 136 120 252 200 360
25 5 —3.3.3.3.4.4.4.4.4.45 16 20 60 60 136 120 252 200 360
26 5 —3.3.3.3.4.4.4.4.4.45 16 20 60 60 136 120 252 200 360
27 5 —3.3.3.3.4.4.4.4.4.45 16 20 60 60 136 120 252 200 360
28 5 —3.3.3.3.4.4.4.4.4.45 16 20 60 60 136 120 252 200 360
29 5 —3.3.3.3.4.4.4.4.4.45 16 20 60 60 136 120 252 200 360
30 5 —3.3.3.3.4.4.4.4.4.45 16 20 60 60 136 120 252 200 360
31 5 —3.3.3.3.4.4.4.4.4.45 16 20 60 60 136 120 252 200 360
32 5 —3.3.3.3.4.4.4.4.4.45 16 20 60 60 136 120 252 200 360
33 5 —3.3.3.3.4.4.4.4.4.45 16 20 60 60 136 120 252 200 360
34 5 —3.3.3.3.4.4.4.4.4.45 16 20 60 60 136 120 252 200 360
35 5 —3.3.3.3.4.4.4.4.4.45 16 20 60 60 136 120 252 200 360
36 5 —3.3.3.3.4.4.4.4.4.45 16 20 60 60 136 120 252 200 360
37 5 —3.3.3.3.4.4.4.4.4.45 16 20 60 60 136 120 252 200 360
38 5 —3.3.3.3.4.4.4.4.4.45 16 20 60 60 136 120 252 200 360
39 5 —3.3.3.3.4.4.4.4.4.45 16 20 60 60 136 120 252 200 360
40 5 —3.3.3.3.4.4.4.4.4.45 16 20 60 60 136 120 252 200 360
41 5 —3.3.3.3.4.4.4.4.4.45 16 20 60 60 136 120 252 200 360
42 5 —3.3.3.3.4.4.4.4.4.45 16 20 60 60 136 120 252 200 360
43 5 —3.3.3.3.4.4.4.4.4.45 16 20 60 60 136 120 252 200 360
44 5 —3.3.3.3.4.4.4.4.4.45 16 20 60 60 136 120 252 200 360
45 5 —3.3.3.3.4.4.4.4.4.45 16 20 60 60 136 120 252 200 360
46 5 —3.3.3.3.4.4.4.4.4.45 16 20 60 60 136 120 252 200 360
47 5 —3.3.3.3.4.4.4.4.4.45 16 20 60 60 136 120 252 200 360
48 6 —3.3.3.6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2)6 9 30 33 90 82 180 153 300 241
49 6 —3.3.3.6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2)6 9 30 33 90 82 180 153 300 241
50 6 —3.3.3.6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2)6 9 30 33 90 82 180 153 300 241
51 6 —3.3.3.6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2)6 9 30 33 90 82 180 153 300 241
52 6 —3.3.3.6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2)6 9 30 33 90 82 180 153 300 241
53 6 —3.3.3.6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2)6 9 30 33 90 82 180 153 300 241
54 6 —3.3.3.6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2)6 9 30 33 90 82 180 153 300 241
55 6 —3.3.3.6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2)6 9 30 33 90 82 180 153 300 241
56 6 —3.3.3.6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2)6 9 30 33 90 82 180 153 300 241
57 6 —3.3.3.6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2)6 9 30 33 90 82 180 153 300 241
58 6 —3.3.3.6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2)6 9 30 33 90 82 180 153 300 241
59 6 —3.3.3.6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2)6 9 30 33 90 82 180 153 300 241
60 6 —3.3.3.6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2)6 9 30 33 90 82 180 153 300 241
61 6 —3.3.3.6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2)6 9 30 33 90 82 180 153 300 241
62 6 —3.3.3.6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2)6 9 30 33 90 82 180 153 300 241
63 6 —3.3.3.6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2)6 9 30 33 90 82 180 153 300 241
64 6 —3.3.3.6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2)6 9 30 33 90 82 180 153 300 241
65 6 —3.3.3.6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2)6 9 30 33 90 82 180 153 300 241
66 6 —3.3.3.6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2)6 9 30 33 90 82 180 153 300 241
67 6 —3.3.3.6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2)6 9 30 33 90 82 180 153 300 241
68 6 —3.3.3.6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2)6 9 30 33 90 82 180 153 300 241
69 6 —3.3.3.6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2)6 9 30 33 90 82 180 153 300 241
70 6 —3.3.3.6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2)6 9 30 33 90 82 180 153 300 241
71 6 —3.3.3.6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2)6 9 30 33 90 82 180 153 300 241
72 6 —3.3.3.6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2)6 9 30 33 90 82 180 153 300 241
73 6 —3.3.3.6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2)6 9 30 33 90 82 180 153 300 241
74 6 —3.3.3.6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2)6 9 30 33 90 82 180 153 300 241
75 6 —3.3.3.6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2)6 9 30 33 90 82 180 153 300 241
76 6 —3.3.3.6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2)6 9 30 33 90 82 180 153 300 241
77 6 —3.3.3.6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2)6 9 30 33 90 82 180 153 300 241
78 6 —3.3.3.6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2)6 9 30 33 90 82 180 153 300 241
79 6 —3.3.3.6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2)6 9 30 33 90 82 180 153 300 241

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, by mofpp.invariants 2, mofpp.periodicity 1, mofpp.rings 2 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

Symmetry — the MOF+ deposit, the graph of the uploaded topology file

Systre did not finish this graph (refused), so it states nothing about this net. The reason is beside this; nothing is inferred from the absence, and in particular a net Systre refused or ran out of time on is not a net without a space group.

Ideal space group (mofplus-deposit)
not computed
Transitivity p, q (mofplus-deposit)
not computed
Point-group order (mofplus-deposit)
not computed
Repeat-unit factor (mofplus-deposit)
not computed
RCSR identification (mofplus-deposit)
none stated
Computed Systre key (mofplus-deposit)
not computed
Key against the archive (mofplus-deposit)
not compared No Systre key was computed on this basis, so there is nothing to compare with the archive text. This is not a disagreement.
TD10 as Systre prints it (mofplus-deposit)
not computed
Computed by (symmetry, mofplus-deposit)
systre 19.6.0 sha256:0d272e98a1a21669bc67a809b95c014ba2a2fb39a6fd2147039201216ab0d48d options:--systreKey wrapper:2 — refused Systre ERROR (STRUCTURE): Structure has collisions between next-nearest neighbors. Systre does not currently support such structures.. (last status: Computing barycentric placement...)

Invariants — the MOF+ deposit, the graph of the uploaded topology file

TD10, exact (mofplus-deposit)
1188.0
Genus (mofplus-deposit)
not determinedthe minimal repeat unit is not known: genus needs how many minimal repeat units the given one holds (1 for a Systre key, Systre's factor for a deposit)
Shells walked (mofplus-deposit)
10
Computed by (invariants, mofplus-deposit)
mofpp.invariants 2 — ok

Rings — the MOF+ deposit, the graph of the uploaded topology file

Net point symbol (mofplus-deposit)
(3^4.4^6)3(3^3.6^12)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, 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, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 473.3.3.3.4.4.4.4.4.4 3.3.3.3.6(8).6(8).8(16).8(16).12(64).12(64) 3^4.4^6 5 16 20 60 60 136 120 252 200 360
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, 793.3.3.6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2) 3.3.3.6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2).6(2) 3^3.6^12 6 9 30 33 90 82 180 153 300 241

Cross-checks

Name against the computed key
single-source
Stored symbols against the computed ones
corroborated: 80 of 80 vertex rows agree with mofpp.rings v2 (mofplus-deposit).
Stored sequences against the computed ones
corroborated: 80 of 80 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
mofplus
Identifier at the source
gdl
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
none No RCSR index: the name gdl is not one of the 2930 symbols in the RCSR Systre archive of 2019-06-01, so this net has no position in that ordering and is listed after every net that does.
Complexity rank
2087 The order the ingest processed this net in, simplest first. A different number from the RCSR index above, meaning a different thing.