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Net topology

nbo-f-z

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

JSON · mfpx

48 vertices and 144 edges in the unit cell. 24 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
Im-3m (No. 229)
Cell lengths
a = 4.0278 Å, b = 4.0278 Å, c = 4.0278 Å
Cell angles
α = 90.00°, β = 90.00°, γ = 90.00°
Atoms in cell
48
Transitivity pqrs
1, 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
noneNo canonical key is recorded on this record from either source, and this field stays empty because it holds archive text and nothing else. A key was nonetheless computed here: Systre 19.6.0 was run on the MOF+ deposit, the graph of the uploaded topology file and derived one from the graph of the net itself. It is served under topology.symmetry, with the graph it was computed from and the version that computed it, rather than written into this field — a computed key is not the archive text, and serving it here would say the archive states something it does not.
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: 48 of 48 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. 48 of 48 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 Im-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 m3.3.3.3.3.3.4.4.4.4.4.4.4.5.56 11 16 26 42 60 78 106 136 162
1 6 m3.3.3.3.3.3.4.4.4.4.4.4.4.5.56 11 16 26 42 60 78 106 136 162
2 6 m3.3.3.3.3.3.4.4.4.4.4.4.4.5.56 11 16 26 42 60 78 106 136 162
3 6 m3.3.3.3.3.3.4.4.4.4.4.4.4.5.56 11 16 26 42 60 78 106 136 162
4 6 m3.3.3.3.3.3.4.4.4.4.4.4.4.5.56 11 16 26 42 60 78 106 136 162
5 6 m3.3.3.3.3.3.4.4.4.4.4.4.4.5.56 11 16 26 42 60 78 106 136 162
6 6 m3.3.3.3.3.3.4.4.4.4.4.4.4.5.56 11 16 26 42 60 78 106 136 162
7 6 m3.3.3.3.3.3.4.4.4.4.4.4.4.5.56 11 16 26 42 60 78 106 136 162
8 6 m3.3.3.3.3.3.4.4.4.4.4.4.4.5.56 11 16 26 42 60 78 106 136 162
9 6 m3.3.3.3.3.3.4.4.4.4.4.4.4.5.56 11 16 26 42 60 78 106 136 162
10 6 m3.3.3.3.3.3.4.4.4.4.4.4.4.5.56 11 16 26 42 60 78 106 136 162
11 6 m3.3.3.3.3.3.4.4.4.4.4.4.4.5.56 11 16 26 42 60 78 106 136 162
12 6 m3.3.3.3.3.3.4.4.4.4.4.4.4.5.56 11 16 26 42 60 78 106 136 162
13 6 m3.3.3.3.3.3.4.4.4.4.4.4.4.5.56 11 16 26 42 60 78 106 136 162
14 6 m3.3.3.3.3.3.4.4.4.4.4.4.4.5.56 11 16 26 42 60 78 106 136 162
15 6 m3.3.3.3.3.3.4.4.4.4.4.4.4.5.56 11 16 26 42 60 78 106 136 162
16 6 m3.3.3.3.3.3.4.4.4.4.4.4.4.5.56 11 16 26 42 60 78 106 136 162
17 6 m3.3.3.3.3.3.4.4.4.4.4.4.4.5.56 11 16 26 42 60 78 106 136 162
18 6 m3.3.3.3.3.3.4.4.4.4.4.4.4.5.56 11 16 26 42 60 78 106 136 162
19 6 m3.3.3.3.3.3.4.4.4.4.4.4.4.5.56 11 16 26 42 60 78 106 136 162
20 6 m3.3.3.3.3.3.4.4.4.4.4.4.4.5.56 11 16 26 42 60 78 106 136 162
21 6 m3.3.3.3.3.3.4.4.4.4.4.4.4.5.56 11 16 26 42 60 78 106 136 162
22 6 m3.3.3.3.3.3.4.4.4.4.4.4.4.5.56 11 16 26 42 60 78 106 136 162
23 6 m3.3.3.3.3.3.4.4.4.4.4.4.4.5.56 11 16 26 42 60 78 106 136 162
24 6 m3.3.3.3.3.3.4.4.4.4.4.4.4.5.56 11 16 26 42 60 78 106 136 162
25 6 m3.3.3.3.3.3.4.4.4.4.4.4.4.5.56 11 16 26 42 60 78 106 136 162
26 6 m3.3.3.3.3.3.4.4.4.4.4.4.4.5.56 11 16 26 42 60 78 106 136 162
27 6 m3.3.3.3.3.3.4.4.4.4.4.4.4.5.56 11 16 26 42 60 78 106 136 162
28 6 m3.3.3.3.3.3.4.4.4.4.4.4.4.5.56 11 16 26 42 60 78 106 136 162
29 6 m3.3.3.3.3.3.4.4.4.4.4.4.4.5.56 11 16 26 42 60 78 106 136 162
30 6 m3.3.3.3.3.3.4.4.4.4.4.4.4.5.56 11 16 26 42 60 78 106 136 162
31 6 m3.3.3.3.3.3.4.4.4.4.4.4.4.5.56 11 16 26 42 60 78 106 136 162
32 6 m3.3.3.3.3.3.4.4.4.4.4.4.4.5.56 11 16 26 42 60 78 106 136 162
33 6 m3.3.3.3.3.3.4.4.4.4.4.4.4.5.56 11 16 26 42 60 78 106 136 162
34 6 m3.3.3.3.3.3.4.4.4.4.4.4.4.5.56 11 16 26 42 60 78 106 136 162
35 6 m3.3.3.3.3.3.4.4.4.4.4.4.4.5.56 11 16 26 42 60 78 106 136 162
36 6 m3.3.3.3.3.3.4.4.4.4.4.4.4.5.56 11 16 26 42 60 78 106 136 162
37 6 m3.3.3.3.3.3.4.4.4.4.4.4.4.5.56 11 16 26 42 60 78 106 136 162
38 6 m3.3.3.3.3.3.4.4.4.4.4.4.4.5.56 11 16 26 42 60 78 106 136 162
39 6 m3.3.3.3.3.3.4.4.4.4.4.4.4.5.56 11 16 26 42 60 78 106 136 162
40 6 m3.3.3.3.3.3.4.4.4.4.4.4.4.5.56 11 16 26 42 60 78 106 136 162
41 6 m3.3.3.3.3.3.4.4.4.4.4.4.4.5.56 11 16 26 42 60 78 106 136 162
42 6 m3.3.3.3.3.3.4.4.4.4.4.4.4.5.56 11 16 26 42 60 78 106 136 162
43 6 m3.3.3.3.3.3.4.4.4.4.4.4.4.5.56 11 16 26 42 60 78 106 136 162
44 6 m3.3.3.3.3.3.4.4.4.4.4.4.4.5.56 11 16 26 42 60 78 106 136 162
45 6 m3.3.3.3.3.3.4.4.4.4.4.4.4.5.56 11 16 26 42 60 78 106 136 162
46 6 m3.3.3.3.3.3.4.4.4.4.4.4.4.5.56 11 16 26 42 60 78 106 136 162
47 6 m3.3.3.3.3.3.4.4.4.4.4.4.4.5.56 11 16 26 42 60 78 106 136 162

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, 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

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)
Im-3m (No. 229)
Transitivity p, q (mofplus-deposit)
1, 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)
2
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 2 10 0 0 0 3 4 0 0 0 3 5 0 0 0 3 6 0 0 0 3 11 0 0 0 4 9 0 0 0 4 10 0 0 0 4 12 0 0 0 5 7 0 0 0 5 13 0 0 0 5 14 0 0 0 5 15 0 0 0 6 11 0 0 0 6 16 0 0 0 6 17 0 0 0 6 18 0 0 0 7 13 0 0 0 7 14 0 0 0 7 15 0 0 0 7 17 0 0 0 8 9 0 0 0 8 19 0 0 0 8 20 0 0 0 8 21 0 0 0 8 22 0 0 0 9 19 0 0 0 9 20 0 0 0 9 21 0 0 0 10 12 0 0 0 10 22 0 0 0 10 23 0 0 0 10 24 0 0 0 11 14 0 0 0 11 16 0 0 0 11 17 0 0 0 11 18 0 0 0 12 21 0 0 0 12 22 0 0 0 12 23 0 0 0 12 24 0 0 0 13 15 0 0 0 13 20 0 1 0 13 23 1 0 0 13 24 1 0 0 14 17 0 0 0 14 21 0 0 1 14 22 0 0 1 15 19 0 1 0 15 20 0 1 0 15 24 1 0 0 16 18 0 0 0 16 19 -1 0 1 16 23 0 -1 1 16 24 0 -1 1 17 21 0 0 1 17 22 0 0 1 18 19 -1 0 1 18 20 -1 0 1 18 23 0 -1 1 19 20 0 0 0 21 22 0 0 0 23 24 0 0 0
Key against the archive (mofplus-deposit)
not compared This record carries no archive key, so the computed key has nothing to be compared with. This is not a disagreement, and for a net the archive does not list it is the expected state.
TD10 as Systre prints it (mofplus-deposit)
644
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)
644.0
Genus (mofplus-deposit)
49
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)
(3^6.4^7.5^2)
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, 473.3.3.3.3.3.4.4.4.4.4.4.4.5.5 3.3.3.3.3.3.4.5(2).5(2).12(243).12(243).12(243).12(243).12(243).12(243) 3^6.4^7.5^2 6 11 16 26 42 60 78 106 136 162

Cross-checks

Name against the computed key
single-source
Stored symbols against the computed ones
corroborated: 48 of 48 vertex rows agree with mofpp.rings v2 (mofplus-deposit).
Stored sequences against the computed ones
corroborated: 48 of 48 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
nbo-f-z
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 nbo-f-z 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
1900 The order the ingest processed this net in, simplest first. A different number from the RCSR index above, meaning a different thing.