Net topology

dnc-a

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

JSON · mfpx

256 vertices and 560 edges in the unit cell. 72 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
Fm-3m (No. 225)
Cell lengths
a = 7.4923 Å, b = 7.4923 Å, c = 7.4923 Å
Cell angles
α = 90.00°, β = 90.00°, γ = 90.00°
Atoms in cell
256
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 2 3 0 0 0 2 7 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 8 0 0 0 4 13 0 0 0 4 14 0 0 0 4 15 0 0 0 5 11 0 0 0 5 14 0 0 0 5 16 0 0 0 5 17 0 0 0 6 18 0 0 0 6 19 0 0 0 6 20 0 0 0 7 10 0 0 0 7 21 0 0 0 7 22 0 0 0 7 23 0 0 0 8 13 0 0 0 8 23 0 0 0 8 24 0 0 0 9 25 0 0 0 9 26 0 0 0 9 27 0 0 0 10 21 0 0 0 10 28 0 0 0 10 29 0 0 0 11 16 0 0 0 11 29 0 0 0 11 30 0 0 0 12 31 0 0 0 12 32 0 0 0 12 33 0 0 0 13 34 0 0 0 13 35 0 0 0 13 36 0 0 0 14 35 0 0 0 14 37 0 0 0 14 38 0 0 0 15 28 1 0 0 15 39 0 0 0 15 40 0 0 0 16 37 0 0 0 16 41 0 0 0 16 42 0 0 0 17 22 0 1 0 17 43 0 0 0 17 44 0 0 0 18 19 0 0 0 18 20 0 0 0 18 41 0 0 1 19 20 0 0 0 19 34 -1 1 1 20 45 0 0 0 21 46 0 0 0 21 47 0 0 0 21 48 0 0 0 22 43 0 -1 0 22 44 0 -1 0 23 34 0 0 0 23 47 0 0 0 23 49 0 0 0 24 30 1 -1 0 24 50 0 0 0 24 51 0 0 0 25 26 0 0 0 25 27 0 0 0 25 52 0 0 0 26 27 0 0 0 26 35 -1 0 1 27 48 0 0 1 28 39 -1 0 0 28 40 -1 0 0 29 41 0 0 0 29 48 0 0 0 29 53 0 0 0 30 50 -1 1 0 30 51 -1 1 0 31 32 0 0 0 31 33 0 0 0 31 54 0 0 0 32 33 0 0 0 32 37 -1 0 1 33 47 -1 1 1 34 47 0 0 0 34 55 0 0 0 35 37 0 0 0 35 55 0 0 0 36 42 1 -1 0 36 46 1 0 0 36 56 0 0 0 37 57 0 0 0 38 49 0 1 0 38 53 1 0 0 38 58 0 0 0 39 40 0 0 0 39 57 0 0 1 40 59 0 0 0 41 48 0 0 0 41 57 0 0 0 42 46 0 1 0 42 56 -1 1 0 43 44 0 0 0 43 55 -1 1 1 44 60 0 0 0 45 59 0 0 0 45 60 0 0 0 45 61 0 0 0 46 56 -1 0 0 47 62 0 0 0 48 62 0 0 0 49 53 1 -1 0 49 58 0 -1 0 50 51 0 0 0 50 63 0 0 0 51 62 0 0 1 52 60 0 -1 0 52 61 0 -1 0 52 63 0 0 0 53 58 -1 0 0 54 59 -1 0 0 54 61 -1 0 0 54 63 -1 1 0 55 57 0 0 0 55 62 0 0 0 56 61 1 -1 -1 57 62 0 0 0 58 64 0 0 0 59 64 0 0 0 60 64 0 0 0 63 64 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
ec6a3506caf8980e30561795b6187e32 (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: 256 of 256 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. 256 of 256 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 Fm-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 4 3m4.4.4.8(2).8(2).8(2)4 9 16 25 42 72 114 165 207 252
1 4 3m4.4.4.8(2).8(2).8(2)4 9 16 25 42 72 114 165 207 252
2 4 3m4.4.4.8(2).8(2).8(2)4 9 16 25 42 72 114 165 207 252
3 4 3m4.4.4.8(2).8(2).8(2)4 9 16 25 42 72 114 165 207 252
4 4 3m4.4.4.8(2).8(2).8(2)4 9 16 25 42 72 114 165 207 252
5 4 3m4.4.4.8(2).8(2).8(2)4 9 16 25 42 72 114 165 207 252
6 4 3m4.4.4.8(2).8(2).8(2)4 9 16 25 42 72 114 165 207 252
7 4 3m4.4.4.8(2).8(2).8(2)4 9 16 25 42 72 114 165 207 252
8 4 3m4.4.4.8(2).8(2).8(2)4 9 16 25 42 72 114 165 207 252
9 4 3m4.4.4.8(2).8(2).8(2)4 9 16 25 42 72 114 165 207 252
10 4 3m4.4.4.8(2).8(2).8(2)4 9 16 25 42 72 114 165 207 252
11 4 3m4.4.4.8(2).8(2).8(2)4 9 16 25 42 72 114 165 207 252
12 4 3m4.4.4.8(2).8(2).8(2)4 9 16 25 42 72 114 165 207 252
13 4 3m4.4.4.8(2).8(2).8(2)4 9 16 25 42 72 114 165 207 252
14 4 3m4.4.4.8(2).8(2).8(2)4 9 16 25 42 72 114 165 207 252
15 4 3m4.4.4.8(2).8(2).8(2)4 9 16 25 42 72 114 165 207 252
16 4 3m4.4.4.8(2).8(2).8(2)4 9 16 25 42 72 114 165 207 252
17 4 3m4.4.4.8(2).8(2).8(2)4 9 16 25 42 72 114 165 207 252
18 4 3m4.4.4.8(2).8(2).8(2)4 9 16 25 42 72 114 165 207 252
19 4 3m4.4.4.8(2).8(2).8(2)4 9 16 25 42 72 114 165 207 252
20 4 3m4.4.4.8(2).8(2).8(2)4 9 16 25 42 72 114 165 207 252
21 4 3m4.4.4.8(2).8(2).8(2)4 9 16 25 42 72 114 165 207 252
22 4 3m4.4.4.8(2).8(2).8(2)4 9 16 25 42 72 114 165 207 252
23 4 3m4.4.4.8(2).8(2).8(2)4 9 16 25 42 72 114 165 207 252
24 4 3m4.4.4.8(2).8(2).8(2)4 9 16 25 42 72 114 165 207 252
25 4 3m4.4.4.8(2).8(2).8(2)4 9 16 25 42 72 114 165 207 252
26 4 3m4.4.4.8(2).8(2).8(2)4 9 16 25 42 72 114 165 207 252
27 4 3m4.4.4.8(2).8(2).8(2)4 9 16 25 42 72 114 165 207 252
28 4 3m4.4.4.8(2).8(2).8(2)4 9 16 25 42 72 114 165 207 252
29 4 3m4.4.4.8(2).8(2).8(2)4 9 16 25 42 72 114 165 207 252
30 4 3m4.4.4.8(2).8(2).8(2)4 9 16 25 42 72 114 165 207 252
31 4 3m4.4.4.8(2).8(2).8(2)4 9 16 25 42 72 114 165 207 252
32 4 3m3.3.3.8(2).8(2).8(2)4 6 18 40 58 96 135 162 222 303
33 4 3m3.3.3.8(2).8(2).8(2)4 6 18 40 58 96 135 162 222 303
34 4 3m3.3.3.8(2).8(2).8(2)4 6 18 40 58 96 135 162 222 303
35 4 3m3.3.3.8(2).8(2).8(2)4 6 18 40 58 96 135 162 222 303
36 4 3m3.3.3.8(2).8(2).8(2)4 6 18 40 58 96 135 162 222 303
37 4 3m3.3.3.8(2).8(2).8(2)4 6 18 40 58 96 135 162 222 303
38 4 3m3.3.3.8(2).8(2).8(2)4 6 18 40 58 96 135 162 222 303
39 4 3m3.3.3.8(2).8(2).8(2)4 6 18 40 58 96 135 162 222 303
40 4 3m3.3.3.8(2).8(2).8(2)4 6 18 40 58 96 135 162 222 303
41 4 3m3.3.3.8(2).8(2).8(2)4 6 18 40 58 96 135 162 222 303
42 4 3m3.3.3.8(2).8(2).8(2)4 6 18 40 58 96 135 162 222 303
43 4 3m3.3.3.8(2).8(2).8(2)4 6 18 40 58 96 135 162 222 303
44 4 3m3.3.3.8(2).8(2).8(2)4 6 18 40 58 96 135 162 222 303
45 4 3m3.3.3.8(2).8(2).8(2)4 6 18 40 58 96 135 162 222 303
46 4 3m3.3.3.8(2).8(2).8(2)4 6 18 40 58 96 135 162 222 303
47 4 3m3.3.3.8(2).8(2).8(2)4 6 18 40 58 96 135 162 222 303
48 4 3m3.3.3.8(2).8(2).8(2)4 6 18 40 58 96 135 162 222 303
49 4 3m3.3.3.8(2).8(2).8(2)4 6 18 40 58 96 135 162 222 303
50 4 3m3.3.3.8(2).8(2).8(2)4 6 18 40 58 96 135 162 222 303
51 4 3m3.3.3.8(2).8(2).8(2)4 6 18 40 58 96 135 162 222 303
52 4 3m3.3.3.8(2).8(2).8(2)4 6 18 40 58 96 135 162 222 303
53 4 3m3.3.3.8(2).8(2).8(2)4 6 18 40 58 96 135 162 222 303
54 4 3m3.3.3.8(2).8(2).8(2)4 6 18 40 58 96 135 162 222 303
55 4 3m3.3.3.8(2).8(2).8(2)4 6 18 40 58 96 135 162 222 303
56 4 3m3.3.3.8(2).8(2).8(2)4 6 18 40 58 96 135 162 222 303
57 4 3m3.3.3.8(2).8(2).8(2)4 6 18 40 58 96 135 162 222 303
58 4 3m3.3.3.8(2).8(2).8(2)4 6 18 40 58 96 135 162 222 303
59 4 3m3.3.3.8(2).8(2).8(2)4 6 18 40 58 96 135 162 222 303
60 4 3m3.3.3.8(2).8(2).8(2)4 6 18 40 58 96 135 162 222 303
61 4 3m3.3.3.8(2).8(2).8(2)4 6 18 40 58 96 135 162 222 303
62 4 3m3.3.3.8(2).8(2).8(2)4 6 18 40 58 96 135 162 222 303
63 4 3m3.3.3.8(2).8(2).8(2)4 6 18 40 58 96 135 162 222 303
64 5 m3.4.4.4.5.5.8.8.8(2).8(2)5 14 29 49 75 109 154 211 270 328
65 5 m3.4.4.4.5.5.8.8.8(2).8(2)5 14 29 49 75 109 154 211 270 328
66 5 m3.4.4.4.5.5.8.8.8(2).8(2)5 14 29 49 75 109 154 211 270 328
67 5 m3.4.4.4.5.5.8.8.8(2).8(2)5 14 29 49 75 109 154 211 270 328
68 5 m3.4.4.4.5.5.8.8.8(2).8(2)5 14 29 49 75 109 154 211 270 328
69 5 m3.4.4.4.5.5.8.8.8(2).8(2)5 14 29 49 75 109 154 211 270 328
70 5 m3.4.4.4.5.5.8.8.8(2).8(2)5 14 29 49 75 109 154 211 270 328
71 5 m3.4.4.4.5.5.8.8.8(2).8(2)5 14 29 49 75 109 154 211 270 328
72 5 m3.4.4.4.5.5.8.8.8(2).8(2)5 14 29 49 75 109 154 211 270 328
73 5 m3.4.4.4.5.5.8.8.8(2).8(2)5 14 29 49 75 109 154 211 270 328
74 5 m3.4.4.4.5.5.8.8.8(2).8(2)5 14 29 49 75 109 154 211 270 328
75 5 m3.4.4.4.5.5.8.8.8(2).8(2)5 14 29 49 75 109 154 211 270 328
76 5 m3.4.4.4.5.5.8.8.8(2).8(2)5 14 29 49 75 109 154 211 270 328
77 5 m3.4.4.4.5.5.8.8.8(2).8(2)5 14 29 49 75 109 154 211 270 328
78 5 m3.4.4.4.5.5.8.8.8(2).8(2)5 14 29 49 75 109 154 211 270 328
79 5 m3.4.4.4.5.5.8.8.8(2).8(2)5 14 29 49 75 109 154 211 270 328
80 5 m3.4.4.4.5.5.8.8.8(2).8(2)5 14 29 49 75 109 154 211 270 328
81 5 m3.4.4.4.5.5.8.8.8(2).8(2)5 14 29 49 75 109 154 211 270 328
82 5 m3.4.4.4.5.5.8.8.8(2).8(2)5 14 29 49 75 109 154 211 270 328
83 5 m3.4.4.4.5.5.8.8.8(2).8(2)5 14 29 49 75 109 154 211 270 328
84 5 m3.4.4.4.5.5.8.8.8(2).8(2)5 14 29 49 75 109 154 211 270 328
85 5 m3.4.4.4.5.5.8.8.8(2).8(2)5 14 29 49 75 109 154 211 270 328
86 5 m3.4.4.4.5.5.8.8.8(2).8(2)5 14 29 49 75 109 154 211 270 328
87 5 m3.4.4.4.5.5.8.8.8(2).8(2)5 14 29 49 75 109 154 211 270 328
88 5 m3.4.4.4.5.5.8.8.8(2).8(2)5 14 29 49 75 109 154 211 270 328
89 5 m3.4.4.4.5.5.8.8.8(2).8(2)5 14 29 49 75 109 154 211 270 328
90 5 m3.4.4.4.5.5.8.8.8(2).8(2)5 14 29 49 75 109 154 211 270 328
91 5 m3.4.4.4.5.5.8.8.8(2).8(2)5 14 29 49 75 109 154 211 270 328
92 5 m3.4.4.4.5.5.8.8.8(2).8(2)5 14 29 49 75 109 154 211 270 328
93 5 m3.4.4.4.5.5.8.8.8(2).8(2)5 14 29 49 75 109 154 211 270 328
94 5 m3.4.4.4.5.5.8.8.8(2).8(2)5 14 29 49 75 109 154 211 270 328
95 5 m3.4.4.4.5.5.8.8.8(2).8(2)5 14 29 49 75 109 154 211 270 328
96 5 m3.4.4.4.5.5.8.8.8(2).8(2)5 14 29 49 75 109 154 211 270 328
97 5 m3.4.4.4.5.5.8.8.8(2).8(2)5 14 29 49 75 109 154 211 270 328
98 5 m3.4.4.4.5.5.8.8.8(2).8(2)5 14 29 49 75 109 154 211 270 328
99 5 m3.4.4.4.5.5.8.8.8(2).8(2)5 14 29 49 75 109 154 211 270 328
100 5 m3.4.4.4.5.5.8.8.8(2).8(2)5 14 29 49 75 109 154 211 270 328
101 5 m3.4.4.4.5.5.8.8.8(2).8(2)5 14 29 49 75 109 154 211 270 328
102 5 m3.4.4.4.5.5.8.8.8(2).8(2)5 14 29 49 75 109 154 211 270 328
103 5 m3.4.4.4.5.5.8.8.8(2).8(2)5 14 29 49 75 109 154 211 270 328
104 5 m3.4.4.4.5.5.8.8.8(2).8(2)5 14 29 49 75 109 154 211 270 328
105 5 m3.4.4.4.5.5.8.8.8(2).8(2)5 14 29 49 75 109 154 211 270 328
106 5 m3.4.4.4.5.5.8.8.8(2).8(2)5 14 29 49 75 109 154 211 270 328
107 5 m3.4.4.4.5.5.8.8.8(2).8(2)5 14 29 49 75 109 154 211 270 328
108 5 m3.4.4.4.5.5.8.8.8(2).8(2)5 14 29 49 75 109 154 211 270 328
109 5 m3.4.4.4.5.5.8.8.8(2).8(2)5 14 29 49 75 109 154 211 270 328
110 5 m3.4.4.4.5.5.8.8.8(2).8(2)5 14 29 49 75 109 154 211 270 328
111 5 m3.4.4.4.5.5.8.8.8(2).8(2)5 14 29 49 75 109 154 211 270 328
112 5 m3.4.4.4.5.5.8.8.8(2).8(2)5 14 29 49 75 109 154 211 270 328
113 5 m3.4.4.4.5.5.8.8.8(2).8(2)5 14 29 49 75 109 154 211 270 328
114 5 m3.4.4.4.5.5.8.8.8(2).8(2)5 14 29 49 75 109 154 211 270 328
115 5 m3.4.4.4.5.5.8.8.8(2).8(2)5 14 29 49 75 109 154 211 270 328
116 5 m3.4.4.4.5.5.8.8.8(2).8(2)5 14 29 49 75 109 154 211 270 328
117 5 m3.4.4.4.5.5.8.8.8(2).8(2)5 14 29 49 75 109 154 211 270 328
118 5 m3.4.4.4.5.5.8.8.8(2).8(2)5 14 29 49 75 109 154 211 270 328
119 5 m3.4.4.4.5.5.8.8.8(2).8(2)5 14 29 49 75 109 154 211 270 328
120 5 m3.4.4.4.5.5.8.8.8(2).8(2)5 14 29 49 75 109 154 211 270 328
121 5 m3.4.4.4.5.5.8.8.8(2).8(2)5 14 29 49 75 109 154 211 270 328
122 5 m3.4.4.4.5.5.8.8.8(2).8(2)5 14 29 49 75 109 154 211 270 328
123 5 m3.4.4.4.5.5.8.8.8(2).8(2)5 14 29 49 75 109 154 211 270 328
124 5 m3.4.4.4.5.5.8.8.8(2).8(2)5 14 29 49 75 109 154 211 270 328
125 5 m3.4.4.4.5.5.8.8.8(2).8(2)5 14 29 49 75 109 154 211 270 328
126 5 m3.4.4.4.5.5.8.8.8(2).8(2)5 14 29 49 75 109 154 211 270 328
127 5 m3.4.4.4.5.5.8.8.8(2).8(2)5 14 29 49 75 109 154 211 270 328
128 5 m3.4.4.4.5.5.8.8.8(2).8(2)5 14 29 49 75 109 154 211 270 328
129 5 m3.4.4.4.5.5.8.8.8(2).8(2)5 14 29 49 75 109 154 211 270 328
130 5 m3.4.4.4.5.5.8.8.8(2).8(2)5 14 29 49 75 109 154 211 270 328
131 5 m3.4.4.4.5.5.8.8.8(2).8(2)5 14 29 49 75 109 154 211 270 328
132 5 m3.4.4.4.5.5.8.8.8(2).8(2)5 14 29 49 75 109 154 211 270 328
133 5 m3.4.4.4.5.5.8.8.8(2).8(2)5 14 29 49 75 109 154 211 270 328
134 5 m3.4.4.4.5.5.8.8.8(2).8(2)5 14 29 49 75 109 154 211 270 328
135 5 m3.4.4.4.5.5.8.8.8(2).8(2)5 14 29 49 75 109 154 211 270 328
136 5 m3.4.4.4.5.5.8.8.8(2).8(2)5 14 29 49 75 109 154 211 270 328
137 5 m3.4.4.4.5.5.8.8.8(2).8(2)5 14 29 49 75 109 154 211 270 328
138 5 m3.4.4.4.5.5.8.8.8(2).8(2)5 14 29 49 75 109 154 211 270 328
139 5 m3.4.4.4.5.5.8.8.8(2).8(2)5 14 29 49 75 109 154 211 270 328
140 5 m3.4.4.4.5.5.8.8.8(2).8(2)5 14 29 49 75 109 154 211 270 328
141 5 m3.4.4.4.5.5.8.8.8(2).8(2)5 14 29 49 75 109 154 211 270 328
142 5 m3.4.4.4.5.5.8.8.8(2).8(2)5 14 29 49 75 109 154 211 270 328
143 5 m3.4.4.4.5.5.8.8.8(2).8(2)5 14 29 49 75 109 154 211 270 328
144 5 m3.4.4.4.5.5.8.8.8(2).8(2)5 14 29 49 75 109 154 211 270 328
145 5 m3.4.4.4.5.5.8.8.8(2).8(2)5 14 29 49 75 109 154 211 270 328
146 5 m3.4.4.4.5.5.8.8.8(2).8(2)5 14 29 49 75 109 154 211 270 328
147 5 m3.4.4.4.5.5.8.8.8(2).8(2)5 14 29 49 75 109 154 211 270 328
148 5 m3.4.4.4.5.5.8.8.8(2).8(2)5 14 29 49 75 109 154 211 270 328
149 5 m3.4.4.4.5.5.8.8.8(2).8(2)5 14 29 49 75 109 154 211 270 328
150 5 m3.4.4.4.5.5.8.8.8(2).8(2)5 14 29 49 75 109 154 211 270 328
151 5 m3.4.4.4.5.5.8.8.8(2).8(2)5 14 29 49 75 109 154 211 270 328
152 5 m3.4.4.4.5.5.8.8.8(2).8(2)5 14 29 49 75 109 154 211 270 328
153 5 m3.4.4.4.5.5.8.8.8(2).8(2)5 14 29 49 75 109 154 211 270 328
154 5 m3.4.4.4.5.5.8.8.8(2).8(2)5 14 29 49 75 109 154 211 270 328
155 5 m3.4.4.4.5.5.8.8.8(2).8(2)5 14 29 49 75 109 154 211 270 328
156 5 m3.4.4.4.5.5.8.8.8(2).8(2)5 14 29 49 75 109 154 211 270 328
157 5 m3.4.4.4.5.5.8.8.8(2).8(2)5 14 29 49 75 109 154 211 270 328
158 5 m3.4.4.4.5.5.8.8.8(2).8(2)5 14 29 49 75 109 154 211 270 328
159 5 m3.4.4.4.5.5.8.8.8(2).8(2)5 14 29 49 75 109 154 211 270 328
160 4 m3.3.3.8(2).8(2).8(2)4 7 22 48 70 108 142 179 247 319
161 4 m3.3.3.8(2).8(2).8(2)4 7 22 48 70 108 142 179 247 319
162 4 m3.3.3.8(2).8(2).8(2)4 7 22 48 70 108 142 179 247 319
163 4 m3.3.3.8(2).8(2).8(2)4 7 22 48 70 108 142 179 247 319
164 4 m3.3.3.8(2).8(2).8(2)4 7 22 48 70 108 142 179 247 319
165 4 m3.3.3.8(2).8(2).8(2)4 7 22 48 70 108 142 179 247 319
166 4 m3.3.3.8(2).8(2).8(2)4 7 22 48 70 108 142 179 247 319
167 4 m3.3.3.8(2).8(2).8(2)4 7 22 48 70 108 142 179 247 319
168 4 m3.3.3.8(2).8(2).8(2)4 7 22 48 70 108 142 179 247 319
169 4 m3.3.3.8(2).8(2).8(2)4 7 22 48 70 108 142 179 247 319
170 4 m3.3.3.8(2).8(2).8(2)4 7 22 48 70 108 142 179 247 319
171 4 m3.3.3.8(2).8(2).8(2)4 7 22 48 70 108 142 179 247 319
172 4 m3.3.3.8(2).8(2).8(2)4 7 22 48 70 108 142 179 247 319
173 4 m3.3.3.8(2).8(2).8(2)4 7 22 48 70 108 142 179 247 319
174 4 m3.3.3.8(2).8(2).8(2)4 7 22 48 70 108 142 179 247 319
175 4 m3.3.3.8(2).8(2).8(2)4 7 22 48 70 108 142 179 247 319
176 4 m3.3.3.8(2).8(2).8(2)4 7 22 48 70 108 142 179 247 319
177 4 m3.3.3.8(2).8(2).8(2)4 7 22 48 70 108 142 179 247 319
178 4 m3.3.3.8(2).8(2).8(2)4 7 22 48 70 108 142 179 247 319
179 4 m3.3.3.8(2).8(2).8(2)4 7 22 48 70 108 142 179 247 319
180 4 m3.3.3.8(2).8(2).8(2)4 7 22 48 70 108 142 179 247 319
181 4 m3.3.3.8(2).8(2).8(2)4 7 22 48 70 108 142 179 247 319
182 4 m3.3.3.8(2).8(2).8(2)4 7 22 48 70 108 142 179 247 319
183 4 m3.3.3.8(2).8(2).8(2)4 7 22 48 70 108 142 179 247 319
184 4 m3.3.3.8(2).8(2).8(2)4 7 22 48 70 108 142 179 247 319
185 4 m3.3.3.8(2).8(2).8(2)4 7 22 48 70 108 142 179 247 319
186 4 m3.3.3.8(2).8(2).8(2)4 7 22 48 70 108 142 179 247 319
187 4 m3.3.3.8(2).8(2).8(2)4 7 22 48 70 108 142 179 247 319
188 4 m3.3.3.8(2).8(2).8(2)4 7 22 48 70 108 142 179 247 319
189 4 m3.3.3.8(2).8(2).8(2)4 7 22 48 70 108 142 179 247 319
190 4 m3.3.3.8(2).8(2).8(2)4 7 22 48 70 108 142 179 247 319
191 4 m3.3.3.8(2).8(2).8(2)4 7 22 48 70 108 142 179 247 319
192 4 m3.3.3.8(2).8(2).8(2)4 7 22 48 70 108 142 179 247 319
193 4 m3.3.3.8(2).8(2).8(2)4 7 22 48 70 108 142 179 247 319
194 4 m3.3.3.8(2).8(2).8(2)4 7 22 48 70 108 142 179 247 319
195 4 m3.3.3.8(2).8(2).8(2)4 7 22 48 70 108 142 179 247 319
196 4 m3.3.3.8(2).8(2).8(2)4 7 22 48 70 108 142 179 247 319
197 4 m3.3.3.8(2).8(2).8(2)4 7 22 48 70 108 142 179 247 319
198 4 m3.3.3.8(2).8(2).8(2)4 7 22 48 70 108 142 179 247 319
199 4 m3.3.3.8(2).8(2).8(2)4 7 22 48 70 108 142 179 247 319
200 4 m3.3.3.8(2).8(2).8(2)4 7 22 48 70 108 142 179 247 319
201 4 m3.3.3.8(2).8(2).8(2)4 7 22 48 70 108 142 179 247 319
202 4 m3.3.3.8(2).8(2).8(2)4 7 22 48 70 108 142 179 247 319
203 4 m3.3.3.8(2).8(2).8(2)4 7 22 48 70 108 142 179 247 319
204 4 m3.3.3.8(2).8(2).8(2)4 7 22 48 70 108 142 179 247 319
205 4 m3.3.3.8(2).8(2).8(2)4 7 22 48 70 108 142 179 247 319
206 4 m3.3.3.8(2).8(2).8(2)4 7 22 48 70 108 142 179 247 319
207 4 m3.3.3.8(2).8(2).8(2)4 7 22 48 70 108 142 179 247 319
208 4 m3.3.3.8(2).8(2).8(2)4 7 22 48 70 108 142 179 247 319
209 4 m3.3.3.8(2).8(2).8(2)4 7 22 48 70 108 142 179 247 319
210 4 m3.3.3.8(2).8(2).8(2)4 7 22 48 70 108 142 179 247 319
211 4 m3.3.3.8(2).8(2).8(2)4 7 22 48 70 108 142 179 247 319
212 4 m3.3.3.8(2).8(2).8(2)4 7 22 48 70 108 142 179 247 319
213 4 m3.3.3.8(2).8(2).8(2)4 7 22 48 70 108 142 179 247 319
214 4 m3.3.3.8(2).8(2).8(2)4 7 22 48 70 108 142 179 247 319
215 4 m3.3.3.8(2).8(2).8(2)4 7 22 48 70 108 142 179 247 319
216 4 m3.3.3.8(2).8(2).8(2)4 7 22 48 70 108 142 179 247 319
217 4 m3.3.3.8(2).8(2).8(2)4 7 22 48 70 108 142 179 247 319
218 4 m3.3.3.8(2).8(2).8(2)4 7 22 48 70 108 142 179 247 319
219 4 m3.3.3.8(2).8(2).8(2)4 7 22 48 70 108 142 179 247 319
220 4 m3.3.3.8(2).8(2).8(2)4 7 22 48 70 108 142 179 247 319
221 4 m3.3.3.8(2).8(2).8(2)4 7 22 48 70 108 142 179 247 319
222 4 m3.3.3.8(2).8(2).8(2)4 7 22 48 70 108 142 179 247 319
223 4 m3.3.3.8(2).8(2).8(2)4 7 22 48 70 108 142 179 247 319
224 4 m3.3.3.8(2).8(2).8(2)4 7 22 48 70 108 142 179 247 319
225 4 m3.3.3.8(2).8(2).8(2)4 7 22 48 70 108 142 179 247 319
226 4 m3.3.3.8(2).8(2).8(2)4 7 22 48 70 108 142 179 247 319
227 4 m3.3.3.8(2).8(2).8(2)4 7 22 48 70 108 142 179 247 319
228 4 m3.3.3.8(2).8(2).8(2)4 7 22 48 70 108 142 179 247 319
229 4 m3.3.3.8(2).8(2).8(2)4 7 22 48 70 108 142 179 247 319
230 4 m3.3.3.8(2).8(2).8(2)4 7 22 48 70 108 142 179 247 319
231 4 m3.3.3.8(2).8(2).8(2)4 7 22 48 70 108 142 179 247 319
232 4 m3.3.3.8(2).8(2).8(2)4 7 22 48 70 108 142 179 247 319
233 4 m3.3.3.8(2).8(2).8(2)4 7 22 48 70 108 142 179 247 319
234 4 m3.3.3.8(2).8(2).8(2)4 7 22 48 70 108 142 179 247 319
235 4 m3.3.3.8(2).8(2).8(2)4 7 22 48 70 108 142 179 247 319
236 4 m3.3.3.8(2).8(2).8(2)4 7 22 48 70 108 142 179 247 319
237 4 m3.3.3.8(2).8(2).8(2)4 7 22 48 70 108 142 179 247 319
238 4 m3.3.3.8(2).8(2).8(2)4 7 22 48 70 108 142 179 247 319
239 4 m3.3.3.8(2).8(2).8(2)4 7 22 48 70 108 142 179 247 319
240 4 m3.3.3.8(2).8(2).8(2)4 7 22 48 70 108 142 179 247 319
241 4 m3.3.3.8(2).8(2).8(2)4 7 22 48 70 108 142 179 247 319
242 4 m3.3.3.8(2).8(2).8(2)4 7 22 48 70 108 142 179 247 319
243 4 m3.3.3.8(2).8(2).8(2)4 7 22 48 70 108 142 179 247 319
244 4 m3.3.3.8(2).8(2).8(2)4 7 22 48 70 108 142 179 247 319
245 4 m3.3.3.8(2).8(2).8(2)4 7 22 48 70 108 142 179 247 319
246 4 m3.3.3.8(2).8(2).8(2)4 7 22 48 70 108 142 179 247 319
247 4 m3.3.3.8(2).8(2).8(2)4 7 22 48 70 108 142 179 247 319
248 4 m3.3.3.8(2).8(2).8(2)4 7 22 48 70 108 142 179 247 319
249 4 m3.3.3.8(2).8(2).8(2)4 7 22 48 70 108 142 179 247 319
250 4 m3.3.3.8(2).8(2).8(2)4 7 22 48 70 108 142 179 247 319
251 4 m3.3.3.8(2).8(2).8(2)4 7 22 48 70 108 142 179 247 319
252 4 m3.3.3.8(2).8(2).8(2)4 7 22 48 70 108 142 179 247 319
253 4 m3.3.3.8(2).8(2).8(2)4 7 22 48 70 108 142 179 247 319
254 4 m3.3.3.8(2).8(2).8(2)4 7 22 48 70 108 142 179 247 319
255 4 m3.3.3.8(2).8(2).8(2)4 7 22 48 70 108 142 179 247 319

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)
Fm-3m (No. 225)
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)
dnc-a
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 3 0 0 0 2 7 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 8 0 0 0 4 13 0 0 0 4 14 0 0 0 4 15 0 0 0 5 11 0 0 0 5 14 0 0 0 5 16 0 0 0 5 17 0 0 0 6 18 0 0 0 6 19 0 0 0 6 20 0 0 0 7 10 0 0 0 7 21 0 0 0 7 22 0 0 0 7 23 0 0 0 8 13 0 0 0 8 23 0 0 0 8 24 0 0 0 9 25 0 0 0 9 26 0 0 0 9 27 0 0 0 10 21 0 0 0 10 28 0 0 0 10 29 0 0 0 11 16 0 0 0 11 29 0 0 0 11 30 0 0 0 12 31 0 0 0 12 32 0 0 0 12 33 0 0 0 13 34 0 0 0 13 35 0 0 0 13 36 0 0 0 14 35 0 0 0 14 37 0 0 0 14 38 0 0 0 15 28 1 0 0 15 39 0 0 0 15 40 0 0 0 16 37 0 0 0 16 41 0 0 0 16 42 0 0 0 17 22 0 1 0 17 43 0 0 0 17 44 0 0 0 18 19 0 0 0 18 20 0 0 0 18 41 0 0 1 19 20 0 0 0 19 34 -1 1 1 20 45 0 0 0 21 46 0 0 0 21 47 0 0 0 21 48 0 0 0 22 43 0 -1 0 22 44 0 -1 0 23 34 0 0 0 23 47 0 0 0 23 49 0 0 0 24 30 1 -1 0 24 50 0 0 0 24 51 0 0 0 25 26 0 0 0 25 27 0 0 0 25 52 0 0 0 26 27 0 0 0 26 35 -1 0 1 27 48 0 0 1 28 39 -1 0 0 28 40 -1 0 0 29 41 0 0 0 29 48 0 0 0 29 53 0 0 0 30 50 -1 1 0 30 51 -1 1 0 31 32 0 0 0 31 33 0 0 0 31 54 0 0 0 32 33 0 0 0 32 37 -1 0 1 33 47 -1 1 1 34 47 0 0 0 34 55 0 0 0 35 37 0 0 0 35 55 0 0 0 36 42 1 -1 0 36 46 1 0 0 36 56 0 0 0 37 57 0 0 0 38 49 0 1 0 38 53 1 0 0 38 58 0 0 0 39 40 0 0 0 39 57 0 0 1 40 59 0 0 0 41 48 0 0 0 41 57 0 0 0 42 46 0 1 0 42 56 -1 1 0 43 44 0 0 0 43 55 -1 1 1 44 60 0 0 0 45 59 0 0 0 45 60 0 0 0 45 61 0 0 0 46 56 -1 0 0 47 62 0 0 0 48 62 0 0 0 49 53 1 -1 0 49 58 0 -1 0 50 51 0 0 0 50 63 0 0 0 51 62 0 0 1 52 60 0 -1 0 52 61 0 -1 0 52 63 0 0 0 53 58 -1 0 0 54 59 -1 0 0 54 61 -1 0 0 54 63 -1 1 0 55 57 0 0 0 55 62 0 0 0 56 61 1 -1 -1 57 62 0 0 0 58 64 0 0 0 59 64 0 0 0 60 64 0 0 0 63 64 0 -1 0
Key against the archive (mofplus-deposit)
the same key, character for character
TD10 as Systre prints it (mofplus-deposit)
1141
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)
1141.0
Genus (mofplus-deposit)
77
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)
1141.0
Genus (rcsr-archive-key)
77
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)
(3^3.8^3)4(4^3.8^3)(3.4^3.5^2.8^4)3
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, 314.4.4.8(2).8(2).8(2) 4.4.4.8(2).8(2).8(2) 4^3.8^3 4 9 16 25 42 72 114 165 207 252
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, 633.3.3.8(2).8(2).8(2) 3.3.3.8(2).8(2).8(2) 3^3.8^3 4 6 18 40 58 96 135 162 222 303
64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 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, 1593.4.4.4.5.5.8.8.8(2).8(2) 3.4.4.4.8.8.8.8.8(2).8(2) 3.4^3.5^2.8^4 5 14 29 49 75 109 154 211 270 328
160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 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, 2553.3.3.8(2).8(2).8(2) 3.3.3.8(2).8(2).8(2) 3^3.8^3 4 7 22 48 70 108 142 179 247 319

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

Net point symbol (rcsr-archive-key)
(3^3.8^3)4(4^3.8^3)(3.4^3.5^2.8^4)3
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, 2, 3, 4, 6, 7, 9, 10, 12, 13, 15, 20, 22, 28, 33, 34, 36, 40, 46, 47, 54, 56, 613.4.4.4.5.5.8.8.8(2).8(2) 3.4.4.4.8.8.8.8.8(2).8(2) 3.4^3.5^2.8^4 5 14 29 49 75 109 154 211 270 328
5, 8, 11, 14, 16, 17, 18, 21, 23, 25, 26, 27, 29, 31, 32, 35, 37, 38, 41, 42, 45, 48, 50, 523.3.3.8(2).8(2).8(2) 3.3.3.8(2).8(2).8(2) 3^3.8^3 4 7 22 48 70 108 142 179 247 319
19, 24, 30, 39, 43, 49, 55, 573.3.3.8(2).8(2).8(2) 3.3.3.8(2).8(2).8(2) 3^3.8^3 4 6 18 40 58 96 135 162 222 303
44, 51, 53, 58, 59, 60, 62, 634.4.4.8(2).8(2).8(2) 4.4.4.8(2).8(2).8(2) 4^3.8^3 4 9 16 25 42 72 114 165 207 252

Cross-checks

Name against the computed key
corroborated-by-systre-key
Stored symbols against the computed ones
corroborated: 256 of 256 vertex rows agree with mofpp.rings v2 (mofplus-deposit).
Stored sequences against the computed ones
corroborated: 256 of 256 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
dnc-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
486 (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
2371 The order the ingest processed this net in, simplest first. A different number from the RCSR index above, meaning a different thing.