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Data › Nets › mtn-e

Net topology

mtn-e

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

JSON · mfpx

272 vertices and 816 edges in the unit cell. 135 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
Fd-3m (No. 227)
Cell lengths
a = 7.5837 Å, b = 7.5837 Å, c = 7.5837 Å
Cell angles
α = 90.00°, β = 90.00°, γ = 90.00°
Atoms in cell
272
Transitivity pqrs
4, 7, *, *
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 4 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 6 0 0 0 5 7 0 0 0 5 17 0 0 0 5 18 0 0 0 5 19 0 0 0 6 7 0 0 0 6 20 0 0 0 6 21 0 0 0 6 22 0 0 0 7 23 0 0 0 7 24 0 0 0 7 25 0 0 0 8 9 0 0 0 8 10 0 0 0 8 26 0 0 0 8 27 0 0 0 8 28 0 0 0 9 10 0 0 0 9 29 0 0 0 9 30 0 0 0 9 31 0 0 0 10 32 0 0 0 10 33 0 0 0 10 34 0 0 0 11 12 0 0 0 11 13 0 0 0 11 28 0 0 0 11 35 0 0 0 11 36 0 0 0 12 13 0 0 0 12 20 0 0 0 12 37 0 0 0 12 38 0 0 0 13 39 0 0 0 13 40 0 0 0 13 41 0 0 0 14 15 0 0 0 14 16 0 0 0 14 34 0 0 0 14 42 0 0 0 14 43 0 0 0 15 16 0 0 0 15 40 0 0 0 15 44 0 0 0 15 45 0 0 0 16 23 0 0 0 16 46 0 0 0 16 47 0 0 0 17 18 0 0 0 17 19 0 0 0 17 31 0 0 0 17 48 0 0 0 17 49 0 0 0 18 19 0 0 0 18 39 1 0 0 18 50 0 0 0 18 51 0 0 0 19 44 1 0 0 19 52 0 0 0 19 53 0 0 0 20 21 0 0 0 20 22 0 0 0 20 37 0 0 0 20 38 0 0 0 21 22 0 0 0 21 51 0 0 0 21 54 0 0 0 21 55 0 0 0 22 27 0 1 0 22 56 0 0 0 22 57 0 0 0 23 24 0 0 0 23 25 0 0 0 23 46 0 0 0 23 47 0 0 0 24 25 0 0 0 24 35 0 0 1 24 53 0 0 0 24 58 0 0 0 25 32 0 1 0 25 57 0 0 0 25 59 0 0 0 26 27 0 0 0 26 28 0 0 0 26 55 0 -1 0 26 60 0 0 0 26 61 0 0 0 27 28 0 0 0 27 56 0 -1 0 27 57 0 -1 0 28 35 0 0 0 28 36 0 0 0 29 30 0 0 0 29 31 0 0 0 29 41 1 -1 0 29 61 0 0 0 29 62 0 0 0 30 31 0 0 0 30 45 1 -1 0 30 63 0 0 0 30 64 0 0 0 31 48 0 0 0 31 49 0 0 0 32 33 0 0 0 32 34 0 0 0 32 57 0 -1 0 32 59 0 -1 0 33 34 0 0 0 33 37 0 -1 1 33 58 0 -1 0 33 63 0 0 0 34 42 0 0 0 34 43 0 0 0 35 36 0 0 0 35 53 0 0 -1 35 58 0 0 -1 36 46 0 0 -1 36 50 -1 0 0 36 65 0 0 0 37 38 0 0 0 37 58 0 0 -1 37 63 0 1 -1 38 43 0 1 -1 38 62 -1 1 0 38 66 0 0 0 39 40 0 0 0 39 41 0 0 0 39 50 -1 0 0 39 51 -1 0 0 40 41 0 0 0 40 44 0 0 0 40 45 0 0 0 41 61 -1 1 0 41 62 -1 1 0 42 43 0 0 0 42 52 -1 0 0 42 60 -1 0 1 42 67 0 0 0 43 62 -1 0 1 43 66 0 -1 1 44 45 0 0 0 44 52 -1 0 0 44 53 -1 0 0 45 63 -1 1 0 45 64 -1 1 0 46 47 0 0 0 46 50 -1 0 1 46 65 0 0 1 47 54 -1 0 1 47 64 -1 1 0 47 68 0 0 0 48 49 0 0 0 48 56 1 -1 0 48 65 1 0 0 48 66 1 -1 0 49 59 1 -1 0 49 67 1 0 0 49 68 1 -1 0 50 51 0 0 0 50 65 1 0 0 51 54 0 0 0 51 55 0 0 0 52 53 0 0 0 52 60 0 0 1 52 67 1 0 0 53 58 0 0 0 54 55 0 0 0 54 64 0 1 -1 54 68 1 0 -1 55 60 0 1 0 55 61 0 1 0 56 57 0 0 0 56 65 0 1 0 56 66 0 0 0 57 59 0 0 0 58 63 0 1 0 59 67 0 1 0 59 68 0 0 0 60 61 0 0 0 60 67 1 0 -1 61 62 0 0 0 62 66 1 -1 0 63 64 0 0 0 64 68 1 -1 0 65 66 0 -1 0 67 68 0 -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
c5745e7aa1c569b1a769dc23314ca047 (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: 272 of 272 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. 272 of 272 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 Fd-3m, setting 2, 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 3m3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)6 18 36 75 111 166 267 318 375 507
1 6 3m3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)6 18 36 75 111 166 267 318 375 507
2 6 3m3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)6 18 36 75 111 166 267 318 375 507
3 6 3m3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)6 18 36 75 111 166 267 318 375 507
4 6 3m3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)6 18 36 75 111 166 267 318 375 507
5 6 3m3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)6 18 36 75 111 166 267 318 375 507
6 6 3m3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)6 18 36 75 111 166 267 318 375 507
7 6 3m3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)6 18 36 75 111 166 267 318 375 507
8 6 3m3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)6 18 36 75 111 166 267 318 375 507
9 6 3m3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)6 18 36 75 111 166 267 318 375 507
10 6 3m3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)6 18 36 75 111 166 267 318 375 507
11 6 3m3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)6 18 36 75 111 166 267 318 375 507
12 6 3m3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)6 18 36 75 111 166 267 318 375 507
13 6 3m3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)6 18 36 75 111 166 267 318 375 507
14 6 3m3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)6 18 36 75 111 166 267 318 375 507
15 6 3m3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)6 18 36 75 111 166 267 318 375 507
16 6 3m3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)6 18 36 75 111 166 267 318 375 507
17 6 3m3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)6 18 36 75 111 166 267 318 375 507
18 6 3m3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)6 18 36 75 111 166 267 318 375 507
19 6 3m3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)6 18 36 75 111 166 267 318 375 507
20 6 3m3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)6 18 36 75 111 166 267 318 375 507
21 6 3m3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)6 18 36 75 111 166 267 318 375 507
22 6 3m3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)6 18 36 75 111 166 267 318 375 507
23 6 3m3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)6 18 36 75 111 166 267 318 375 507
24 6 3m3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)6 18 36 75 111 166 267 318 375 507
25 6 3m3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)6 18 36 75 111 166 267 318 375 507
26 6 3m3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)6 18 36 75 111 166 267 318 375 507
27 6 3m3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)6 18 36 75 111 166 267 318 375 507
28 6 3m3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)6 18 36 75 111 166 267 318 375 507
29 6 3m3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)6 18 36 75 111 166 267 318 375 507
30 6 3m3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)6 18 36 75 111 166 267 318 375 507
31 6 3m3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)6 18 36 75 111 166 267 318 375 507
32 6 mm23.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)6 18 38 76 129 173 236 334 420 516
33 6 mm23.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)6 18 38 76 129 173 236 334 420 516
34 6 mm23.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)6 18 38 76 129 173 236 334 420 516
35 6 mm23.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)6 18 38 76 129 173 236 334 420 516
36 6 mm23.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)6 18 38 76 129 173 236 334 420 516
37 6 mm23.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)6 18 38 76 129 173 236 334 420 516
38 6 mm23.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)6 18 38 76 129 173 236 334 420 516
39 6 mm23.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)6 18 38 76 129 173 236 334 420 516
40 6 mm23.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)6 18 38 76 129 173 236 334 420 516
41 6 mm23.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)6 18 38 76 129 173 236 334 420 516
42 6 mm23.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)6 18 38 76 129 173 236 334 420 516
43 6 mm23.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)6 18 38 76 129 173 236 334 420 516
44 6 mm23.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)6 18 38 76 129 173 236 334 420 516
45 6 mm23.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)6 18 38 76 129 173 236 334 420 516
46 6 mm23.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)6 18 38 76 129 173 236 334 420 516
47 6 mm23.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)6 18 38 76 129 173 236 334 420 516
48 6 mm23.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)6 18 38 76 129 173 236 334 420 516
49 6 mm23.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)6 18 38 76 129 173 236 334 420 516
50 6 mm23.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)6 18 38 76 129 173 236 334 420 516
51 6 mm23.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)6 18 38 76 129 173 236 334 420 516
52 6 mm23.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)6 18 38 76 129 173 236 334 420 516
53 6 mm23.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)6 18 38 76 129 173 236 334 420 516
54 6 mm23.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)6 18 38 76 129 173 236 334 420 516
55 6 mm23.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)6 18 38 76 129 173 236 334 420 516
56 6 mm23.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)6 18 38 76 129 173 236 334 420 516
57 6 mm23.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)6 18 38 76 129 173 236 334 420 516
58 6 mm23.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)6 18 38 76 129 173 236 334 420 516
59 6 mm23.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)6 18 38 76 129 173 236 334 420 516
60 6 mm23.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)6 18 38 76 129 173 236 334 420 516
61 6 mm23.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)6 18 38 76 129 173 236 334 420 516
62 6 mm23.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)6 18 38 76 129 173 236 334 420 516
63 6 mm23.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)6 18 38 76 129 173 236 334 420 516
64 6 mm23.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)6 18 38 76 129 173 236 334 420 516
65 6 mm23.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)6 18 38 76 129 173 236 334 420 516
66 6 mm23.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)6 18 38 76 129 173 236 334 420 516
67 6 mm23.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)6 18 38 76 129 173 236 334 420 516
68 6 mm23.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)6 18 38 76 129 173 236 334 420 516
69 6 mm23.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)6 18 38 76 129 173 236 334 420 516
70 6 mm23.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)6 18 38 76 129 173 236 334 420 516
71 6 mm23.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)6 18 38 76 129 173 236 334 420 516
72 6 mm23.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)6 18 38 76 129 173 236 334 420 516
73 6 mm23.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)6 18 38 76 129 173 236 334 420 516
74 6 mm23.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)6 18 38 76 129 173 236 334 420 516
75 6 mm23.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)6 18 38 76 129 173 236 334 420 516
76 6 mm23.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)6 18 38 76 129 173 236 334 420 516
77 6 mm23.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)6 18 38 76 129 173 236 334 420 516
78 6 mm23.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)6 18 38 76 129 173 236 334 420 516
79 6 mm23.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)6 18 38 76 129 173 236 334 420 516
80 6 m3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)6 18 37 77 115 176 246 325 404 513
81 6 m3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)6 18 37 77 115 176 246 325 404 513
82 6 m3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)6 18 37 77 115 176 246 325 404 513
83 6 m3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)6 18 37 77 115 176 246 325 404 513
84 6 m3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)6 18 37 77 115 176 246 325 404 513
85 6 m3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)6 18 37 77 115 176 246 325 404 513
86 6 m3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)6 18 37 77 115 176 246 325 404 513
87 6 m3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)6 18 37 77 115 176 246 325 404 513
88 6 m3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)6 18 37 77 115 176 246 325 404 513
89 6 m3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)6 18 37 77 115 176 246 325 404 513
90 6 m3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)6 18 37 77 115 176 246 325 404 513
91 6 m3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)6 18 37 77 115 176 246 325 404 513
92 6 m3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)6 18 37 77 115 176 246 325 404 513
93 6 m3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)6 18 37 77 115 176 246 325 404 513
94 6 m3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)6 18 37 77 115 176 246 325 404 513
95 6 m3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)6 18 37 77 115 176 246 325 404 513
96 6 m3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)6 18 37 77 115 176 246 325 404 513
97 6 m3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)6 18 37 77 115 176 246 325 404 513
98 6 m3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)6 18 37 77 115 176 246 325 404 513
99 6 m3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)6 18 37 77 115 176 246 325 404 513
100 6 m3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)6 18 37 77 115 176 246 325 404 513
101 6 m3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)6 18 37 77 115 176 246 325 404 513
102 6 m3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)6 18 37 77 115 176 246 325 404 513
103 6 m3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)6 18 37 77 115 176 246 325 404 513
104 6 m3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)6 18 37 77 115 176 246 325 404 513
105 6 m3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)6 18 37 77 115 176 246 325 404 513
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259 6 23.3.3.3.3.3.5.5.6.6.6.6.6.6(2).6(2)6 18 39 80 117 176 246 324 423 526
260 6 23.3.3.3.3.3.5.5.6.6.6.6.6.6(2).6(2)6 18 39 80 117 176 246 324 423 526
261 6 23.3.3.3.3.3.5.5.6.6.6.6.6.6(2).6(2)6 18 39 80 117 176 246 324 423 526
262 6 23.3.3.3.3.3.5.5.6.6.6.6.6.6(2).6(2)6 18 39 80 117 176 246 324 423 526
263 6 23.3.3.3.3.3.5.5.6.6.6.6.6.6(2).6(2)6 18 39 80 117 176 246 324 423 526
264 6 23.3.3.3.3.3.5.5.6.6.6.6.6.6(2).6(2)6 18 39 80 117 176 246 324 423 526
265 6 23.3.3.3.3.3.5.5.6.6.6.6.6.6(2).6(2)6 18 39 80 117 176 246 324 423 526
266 6 23.3.3.3.3.3.5.5.6.6.6.6.6.6(2).6(2)6 18 39 80 117 176 246 324 423 526
267 6 23.3.3.3.3.3.5.5.6.6.6.6.6.6(2).6(2)6 18 39 80 117 176 246 324 423 526
268 6 23.3.3.3.3.3.5.5.6.6.6.6.6.6(2).6(2)6 18 39 80 117 176 246 324 423 526
269 6 23.3.3.3.3.3.5.5.6.6.6.6.6.6(2).6(2)6 18 39 80 117 176 246 324 423 526
270 6 23.3.3.3.3.3.5.5.6.6.6.6.6.6(2).6(2)6 18 39 80 117 176 246 324 423 526
271 6 23.3.3.3.3.3.5.5.6.6.6.6.6.6(2).6(2)6 18 39 80 117 176 246 324 423 526

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)
Fd-3m (No. 227) (second origin choice)
Transitivity p, q (mofplus-deposit)
4, 7 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)
mtn-e
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 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 6 0 0 0 5 7 0 0 0 5 17 0 0 0 5 18 0 0 0 5 19 0 0 0 6 7 0 0 0 6 20 0 0 0 6 21 0 0 0 6 22 0 0 0 7 23 0 0 0 7 24 0 0 0 7 25 0 0 0 8 9 0 0 0 8 10 0 0 0 8 26 0 0 0 8 27 0 0 0 8 28 0 0 0 9 10 0 0 0 9 29 0 0 0 9 30 0 0 0 9 31 0 0 0 10 32 0 0 0 10 33 0 0 0 10 34 0 0 0 11 12 0 0 0 11 13 0 0 0 11 28 0 0 0 11 35 0 0 0 11 36 0 0 0 12 13 0 0 0 12 20 0 0 0 12 37 0 0 0 12 38 0 0 0 13 39 0 0 0 13 40 0 0 0 13 41 0 0 0 14 15 0 0 0 14 16 0 0 0 14 34 0 0 0 14 42 0 0 0 14 43 0 0 0 15 16 0 0 0 15 40 0 0 0 15 44 0 0 0 15 45 0 0 0 16 23 0 0 0 16 46 0 0 0 16 47 0 0 0 17 18 0 0 0 17 19 0 0 0 17 31 0 0 0 17 48 0 0 0 17 49 0 0 0 18 19 0 0 0 18 39 1 0 0 18 50 0 0 0 18 51 0 0 0 19 44 1 0 0 19 52 0 0 0 19 53 0 0 0 20 21 0 0 0 20 22 0 0 0 20 37 0 0 0 20 38 0 0 0 21 22 0 0 0 21 51 0 0 0 21 54 0 0 0 21 55 0 0 0 22 27 0 1 0 22 56 0 0 0 22 57 0 0 0 23 24 0 0 0 23 25 0 0 0 23 46 0 0 0 23 47 0 0 0 24 25 0 0 0 24 35 0 0 1 24 53 0 0 0 24 58 0 0 0 25 32 0 1 0 25 57 0 0 0 25 59 0 0 0 26 27 0 0 0 26 28 0 0 0 26 55 0 -1 0 26 60 0 0 0 26 61 0 0 0 27 28 0 0 0 27 56 0 -1 0 27 57 0 -1 0 28 35 0 0 0 28 36 0 0 0 29 30 0 0 0 29 31 0 0 0 29 41 1 -1 0 29 61 0 0 0 29 62 0 0 0 30 31 0 0 0 30 45 1 -1 0 30 63 0 0 0 30 64 0 0 0 31 48 0 0 0 31 49 0 0 0 32 33 0 0 0 32 34 0 0 0 32 57 0 -1 0 32 59 0 -1 0 33 34 0 0 0 33 37 0 -1 1 33 58 0 -1 0 33 63 0 0 0 34 42 0 0 0 34 43 0 0 0 35 36 0 0 0 35 53 0 0 -1 35 58 0 0 -1 36 46 0 0 -1 36 50 -1 0 0 36 65 0 0 0 37 38 0 0 0 37 58 0 0 -1 37 63 0 1 -1 38 43 0 1 -1 38 62 -1 1 0 38 66 0 0 0 39 40 0 0 0 39 41 0 0 0 39 50 -1 0 0 39 51 -1 0 0 40 41 0 0 0 40 44 0 0 0 40 45 0 0 0 41 61 -1 1 0 41 62 -1 1 0 42 43 0 0 0 42 52 -1 0 0 42 60 -1 0 1 42 67 0 0 0 43 62 -1 0 1 43 66 0 -1 1 44 45 0 0 0 44 52 -1 0 0 44 53 -1 0 0 45 63 -1 1 0 45 64 -1 1 0 46 47 0 0 0 46 50 -1 0 1 46 65 0 0 1 47 54 -1 0 1 47 64 -1 1 0 47 68 0 0 0 48 49 0 0 0 48 56 1 -1 0 48 65 1 0 0 48 66 1 -1 0 49 59 1 -1 0 49 67 1 0 0 49 68 1 -1 0 50 51 0 0 0 50 65 1 0 0 51 54 0 0 0 51 55 0 0 0 52 53 0 0 0 52 60 0 0 1 52 67 1 0 0 53 58 0 0 0 54 55 0 0 0 54 64 0 1 -1 54 68 1 0 -1 55 60 0 1 0 55 61 0 1 0 56 57 0 0 0 56 65 0 1 0 56 66 0 0 0 57 59 0 0 0 58 63 0 1 0 59 67 0 1 0 59 68 0 0 0 60 61 0 0 0 60 67 1 0 -1 61 62 0 0 0 62 66 1 -1 0 63 64 0 0 0 64 68 1 -1 0 65 66 0 -1 0 67 68 0 -1 0
Key against the archive (mofplus-deposit)
the same key, character for character
TD10 as Systre prints it (mofplus-deposit)
1932
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)
1932.0588235294117
Genus (mofplus-deposit)
137
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)
1932.0588235294117
Genus (rcsr-archive-key)
137
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)
(3^6.5^2.6^7)6(3^6.5^3.6^6)11
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, 313.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2) 3.3.3.3.3.3.5.5.5.10.10.10.10.10.10 3^6.5^3.6^6 6 18 36 75 111 166 267 318 375 507
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, 793.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2) 3.3.3.3.3.3.5.5.5.10.10.10.10.12.12 3^6.5^3.6^6 6 18 38 76 129 173 236 334 420 516
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, 1753.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2) 3.3.3.3.3.3.5.5.5.10.10.10.10.12.12 3^6.5^3.6^6 6 18 37 77 115 176 246 325 404 513
176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 2713.3.3.3.3.3.5.5.6.6.6.6.6.6(2).6(2) 3.3.3.3.3.3.5.5.6.10.10.12.12.12.12 3^6.5^2.6^7 6 18 39 80 117 176 246 324 423 526

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

Net point symbol (rcsr-archive-key)
(3^6.5^2.6^7)6(3^6.5^3.6^6)11
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, 1, 4, 8, 13, 15, 16, 19, 20, 25, 27, 30, 34, 36, 42, 45, 51, 52, 53, 59, 62, 63, 64, 653.3.3.3.3.3.5.5.6.6.6.6.6.6(2).6(2) 3.3.3.3.3.3.5.5.6.10.10.12.12.12.12 3^6.5^2.6^7 6 18 39 80 117 176 246 324 423 526
2, 6, 9, 10, 11, 14, 17, 21, 22, 23, 26, 28, 32, 33, 43, 44, 48, 49, 50, 55, 60, 61, 66, 673.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2) 3.3.3.3.3.3.5.5.5.10.10.10.10.12.12 3^6.5^3.6^6 6 18 37 77 115 176 246 325 404 513
3, 5, 7, 18, 29, 35, 37, 41, 46, 47, 54, 573.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2) 3.3.3.3.3.3.5.5.5.10.10.10.10.12.12 3^6.5^3.6^6 6 18 38 76 129 173 236 334 420 516
12, 24, 31, 38, 39, 40, 56, 583.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2) 3.3.3.3.3.3.5.5.5.10.10.10.10.10.10 3^6.5^3.6^6 6 18 36 75 111 166 267 318 375 507

Cross-checks

Name against the computed key
corroborated-by-systre-key
Stored symbols against the computed ones
corroborated: 272 of 272 vertex rows agree with mofpp.rings v2 (mofplus-deposit).
Stored sequences against the computed ones
corroborated: 272 of 272 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
mtn-e
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
1355 (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
2375 The order the ingest processed this net in, simplest first. A different number from the RCSR index above, meaning a different thing.