Net topology

spl-a

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

JSON · mfpx

256 vertices and 560 edges in the unit cell. 132 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 = 9.5471 Å, b = 9.5471 Å, c = 9.5471 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 4 0 0 0 2 7 0 0 0 2 8 0 0 0 3 5 0 0 0 3 8 0 0 0 3 9 0 0 0 4 5 0 0 0 4 8 0 0 0 4 10 0 0 0 5 8 0 0 0 5 11 0 0 0 6 12 0 0 0 6 13 0 0 0 6 14 0 0 0 7 15 0 0 0 7 16 0 0 0 7 17 0 0 0 8 18 0 0 0 9 19 0 0 0 9 20 0 0 0 9 21 0 0 0 10 22 0 0 0 10 23 0 0 0 10 24 0 0 0 11 25 0 0 0 11 26 0 0 0 11 27 0 0 0 12 13 0 0 0 12 14 0 0 0 12 28 0 0 0 13 14 0 0 0 13 29 0 0 0 14 30 0 0 0 15 16 0 0 0 15 17 0 0 0 15 31 0 0 0 16 17 0 0 0 16 32 0 0 0 17 33 0 0 0 18 34 0 0 0 18 35 0 0 0 18 36 0 0 0 19 20 0 0 0 19 21 0 0 0 19 37 0 0 0 20 21 0 0 0 20 38 0 0 0 21 39 0 0 0 22 23 0 0 0 22 24 0 0 0 22 40 0 0 0 23 24 0 0 0 23 41 0 0 0 24 42 0 0 0 25 26 0 0 0 25 27 0 0 0 25 43 0 0 0 26 27 0 0 0 26 44 0 0 0 27 45 0 0 0 28 32 0 0 0 28 44 1 0 0 28 46 0 0 0 28 47 0 0 0 29 31 0 0 1 29 41 0 1 0 29 48 0 0 0 30 37 1 -1 1 30 42 0 0 0 30 49 0 0 0 30 50 0 0 0 31 41 0 1 -1 31 48 0 0 -1 32 46 0 0 0 32 47 0 0 0 32 51 0 0 0 33 39 1 -1 0 33 40 0 0 0 33 52 0 0 0 33 53 0 0 0 34 35 0 0 0 34 36 0 0 0 34 54 0 0 0 35 36 0 0 0 35 55 0 0 0 36 51 -1 0 0 37 49 -1 1 -1 37 50 -1 1 -1 37 54 0 0 0 38 45 0 1 -1 38 55 0 1 0 38 56 0 0 0 39 43 0 0 0 39 52 -1 1 0 39 53 -1 1 0 40 43 1 -1 0 40 52 0 0 0 40 53 0 0 0 41 48 0 -1 0 42 49 0 0 0 42 50 0 0 0 42 54 1 -1 1 43 52 -1 1 0 43 53 -1 1 0 44 46 -1 0 0 44 47 -1 0 0 44 51 -1 0 0 45 55 0 0 1 45 56 0 -1 1 46 51 0 0 0 46 57 0 0 0 47 51 0 0 0 47 58 0 0 0 48 59 0 0 0 49 54 1 -1 1 49 60 0 0 0 50 54 1 -1 1 50 61 0 0 0 52 62 0 0 0 53 63 0 0 0 55 56 0 -1 0 56 64 0 0 0 57 61 0 1 -1 57 62 0 1 0 57 64 0 0 0 58 59 1 -1 0 58 60 0 0 0 58 63 0 0 0 59 60 -1 1 0 59 63 -1 1 0 60 63 0 0 0 61 62 0 0 1 61 64 0 -1 1 62 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
2d0289d9119ef225cac5a4efe29fd7e5 (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 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 4 3m3.3.3.12(2).12(2).12(2)4 6 12 21 51 66 66 99 112 145
1 4 3m3.3.3.12(2).12(2).12(2)4 6 12 21 51 66 66 99 112 145
2 4 3m3.3.3.12(2).12(2).12(2)4 6 12 21 51 66 66 99 112 145
3 4 3m3.3.3.12(2).12(2).12(2)4 6 12 21 51 66 66 99 112 145
4 4 3m3.3.3.12(2).12(2).12(2)4 6 12 21 51 66 66 99 112 145
5 4 3m3.3.3.12(2).12(2).12(2)4 6 12 21 51 66 66 99 112 145
6 4 3m3.3.3.12(2).12(2).12(2)4 6 12 21 51 66 66 99 112 145
7 4 3m3.3.3.12(2).12(2).12(2)4 6 12 21 51 66 66 99 112 145
8 4 3m3.3.3.12(2).12(2).12(2)4 6 12 21 51 66 66 99 112 145
9 4 3m3.3.3.12(2).12(2).12(2)4 6 12 21 51 66 66 99 112 145
10 4 3m3.3.3.12(2).12(2).12(2)4 6 12 21 51 66 66 99 112 145
11 4 3m3.3.3.12(2).12(2).12(2)4 6 12 21 51 66 66 99 112 145
12 4 3m3.3.3.12(2).12(2).12(2)4 6 12 21 51 66 66 99 112 145
13 4 3m3.3.3.12(2).12(2).12(2)4 6 12 21 51 66 66 99 112 145
14 4 3m3.3.3.12(2).12(2).12(2)4 6 12 21 51 66 66 99 112 145
15 4 3m3.3.3.12(2).12(2).12(2)4 6 12 21 51 66 66 99 112 145
16 4 3m3.3.3.12(2).12(2).12(2)4 6 12 21 51 66 66 99 112 145
17 4 3m3.3.3.12(2).12(2).12(2)4 6 12 21 51 66 66 99 112 145
18 4 3m3.3.3.12(2).12(2).12(2)4 6 12 21 51 66 66 99 112 145
19 4 3m3.3.3.12(2).12(2).12(2)4 6 12 21 51 66 66 99 112 145
20 4 3m3.3.3.12(2).12(2).12(2)4 6 12 21 51 66 66 99 112 145
21 4 3m3.3.3.12(2).12(2).12(2)4 6 12 21 51 66 66 99 112 145
22 4 3m3.3.3.12(2).12(2).12(2)4 6 12 21 51 66 66 99 112 145
23 4 3m3.3.3.12(2).12(2).12(2)4 6 12 21 51 66 66 99 112 145
24 4 3m3.3.3.12(2).12(2).12(2)4 6 12 21 51 66 66 99 112 145
25 4 3m3.3.3.12(2).12(2).12(2)4 6 12 21 51 66 66 99 112 145
26 4 3m3.3.3.12(2).12(2).12(2)4 6 12 21 51 66 66 99 112 145
27 4 3m3.3.3.12(2).12(2).12(2)4 6 12 21 51 66 66 99 112 145
28 4 3m3.3.3.12(2).12(2).12(2)4 6 12 21 51 66 66 99 112 145
29 4 3m3.3.3.12(2).12(2).12(2)4 6 12 21 51 66 66 99 112 145
30 4 3m3.3.3.12(2).12(2).12(2)4 6 12 21 51 66 66 99 112 145
31 4 3m3.3.3.12(2).12(2).12(2)4 6 12 21 51 66 66 99 112 145
32 4 3m3.3.3.12(2).12(2).12(2)4 6 15 24 36 63 84 87 117 154
33 4 3m3.3.3.12(2).12(2).12(2)4 6 15 24 36 63 84 87 117 154
34 4 3m3.3.3.12(2).12(2).12(2)4 6 15 24 36 63 84 87 117 154
35 4 3m3.3.3.12(2).12(2).12(2)4 6 15 24 36 63 84 87 117 154
36 4 3m3.3.3.12(2).12(2).12(2)4 6 15 24 36 63 84 87 117 154
37 4 3m3.3.3.12(2).12(2).12(2)4 6 15 24 36 63 84 87 117 154
38 4 3m3.3.3.12(2).12(2).12(2)4 6 15 24 36 63 84 87 117 154
39 4 3m3.3.3.12(2).12(2).12(2)4 6 15 24 36 63 84 87 117 154
40 4 3m3.3.3.12(2).12(2).12(2)4 6 15 24 36 63 84 87 117 154
41 4 3m3.3.3.12(2).12(2).12(2)4 6 15 24 36 63 84 87 117 154
42 4 3m3.3.3.12(2).12(2).12(2)4 6 15 24 36 63 84 87 117 154
43 4 3m3.3.3.12(2).12(2).12(2)4 6 15 24 36 63 84 87 117 154
44 4 3m3.3.3.12(2).12(2).12(2)4 6 15 24 36 63 84 87 117 154
45 4 3m3.3.3.12(2).12(2).12(2)4 6 15 24 36 63 84 87 117 154
46 4 3m3.3.3.12(2).12(2).12(2)4 6 15 24 36 63 84 87 117 154
47 4 3m3.3.3.12(2).12(2).12(2)4 6 15 24 36 63 84 87 117 154
48 4 3m3.3.3.12(2).12(2).12(2)4 6 15 24 36 63 84 87 117 154
49 4 3m3.3.3.12(2).12(2).12(2)4 6 15 24 36 63 84 87 117 154
50 4 3m3.3.3.12(2).12(2).12(2)4 6 15 24 36 63 84 87 117 154
51 4 3m3.3.3.12(2).12(2).12(2)4 6 15 24 36 63 84 87 117 154
52 4 3m3.3.3.12(2).12(2).12(2)4 6 15 24 36 63 84 87 117 154
53 4 3m3.3.3.12(2).12(2).12(2)4 6 15 24 36 63 84 87 117 154
54 4 3m3.3.3.12(2).12(2).12(2)4 6 15 24 36 63 84 87 117 154
55 4 3m3.3.3.12(2).12(2).12(2)4 6 15 24 36 63 84 87 117 154
56 4 3m3.3.3.12(2).12(2).12(2)4 6 15 24 36 63 84 87 117 154
57 4 3m3.3.3.12(2).12(2).12(2)4 6 15 24 36 63 84 87 117 154
58 4 3m3.3.3.12(2).12(2).12(2)4 6 15 24 36 63 84 87 117 154
59 4 3m3.3.3.12(2).12(2).12(2)4 6 15 24 36 63 84 87 117 154
60 4 3m3.3.3.12(2).12(2).12(2)4 6 15 24 36 63 84 87 117 154
61 4 3m3.3.3.12(2).12(2).12(2)4 6 15 24 36 63 84 87 117 154
62 4 3m3.3.3.12(2).12(2).12(2)4 6 15 24 36 63 84 87 117 154
63 4 3m3.3.3.12(2).12(2).12(2)4 6 15 24 36 63 84 87 117 154
64 5 m3.3.3.3.4(3).4(3).8.8.9.95 8 16 24 40 52 79 106 148 162
65 5 m3.3.3.3.4(3).4(3).8.8.9.95 8 16 24 40 52 79 106 148 162
66 5 m3.3.3.3.4(3).4(3).8.8.9.95 8 16 24 40 52 79 106 148 162
67 5 m3.3.3.3.4(3).4(3).8.8.9.95 8 16 24 40 52 79 106 148 162
68 5 m3.3.3.3.4(3).4(3).8.8.9.95 8 16 24 40 52 79 106 148 162
69 5 m3.3.3.3.4(3).4(3).8.8.9.95 8 16 24 40 52 79 106 148 162
70 5 m3.3.3.3.4(3).4(3).8.8.9.95 8 16 24 40 52 79 106 148 162
71 5 m3.3.3.3.4(3).4(3).8.8.9.95 8 16 24 40 52 79 106 148 162
72 5 m3.3.3.3.4(3).4(3).8.8.9.95 8 16 24 40 52 79 106 148 162
73 5 m3.3.3.3.4(3).4(3).8.8.9.95 8 16 24 40 52 79 106 148 162
74 5 m3.3.3.3.4(3).4(3).8.8.9.95 8 16 24 40 52 79 106 148 162
75 5 m3.3.3.3.4(3).4(3).8.8.9.95 8 16 24 40 52 79 106 148 162
76 5 m3.3.3.3.4(3).4(3).8.8.9.95 8 16 24 40 52 79 106 148 162
77 5 m3.3.3.3.4(3).4(3).8.8.9.95 8 16 24 40 52 79 106 148 162
78 5 m3.3.3.3.4(3).4(3).8.8.9.95 8 16 24 40 52 79 106 148 162
79 5 m3.3.3.3.4(3).4(3).8.8.9.95 8 16 24 40 52 79 106 148 162
80 5 m3.3.3.3.4(3).4(3).8.8.9.95 8 16 24 40 52 79 106 148 162
81 5 m3.3.3.3.4(3).4(3).8.8.9.95 8 16 24 40 52 79 106 148 162
82 5 m3.3.3.3.4(3).4(3).8.8.9.95 8 16 24 40 52 79 106 148 162
83 5 m3.3.3.3.4(3).4(3).8.8.9.95 8 16 24 40 52 79 106 148 162
84 5 m3.3.3.3.4(3).4(3).8.8.9.95 8 16 24 40 52 79 106 148 162
85 5 m3.3.3.3.4(3).4(3).8.8.9.95 8 16 24 40 52 79 106 148 162
86 5 m3.3.3.3.4(3).4(3).8.8.9.95 8 16 24 40 52 79 106 148 162
87 5 m3.3.3.3.4(3).4(3).8.8.9.95 8 16 24 40 52 79 106 148 162
88 5 m3.3.3.3.4(3).4(3).8.8.9.95 8 16 24 40 52 79 106 148 162
89 5 m3.3.3.3.4(3).4(3).8.8.9.95 8 16 24 40 52 79 106 148 162
90 5 m3.3.3.3.4(3).4(3).8.8.9.95 8 16 24 40 52 79 106 148 162
91 5 m3.3.3.3.4(3).4(3).8.8.9.95 8 16 24 40 52 79 106 148 162
92 5 m3.3.3.3.4(3).4(3).8.8.9.95 8 16 24 40 52 79 106 148 162
93 5 m3.3.3.3.4(3).4(3).8.8.9.95 8 16 24 40 52 79 106 148 162
94 5 m3.3.3.3.4(3).4(3).8.8.9.95 8 16 24 40 52 79 106 148 162
95 5 m3.3.3.3.4(3).4(3).8.8.9.95 8 16 24 40 52 79 106 148 162
96 5 m3.3.3.3.4(3).4(3).8.8.9.95 8 16 24 40 52 79 106 148 162
97 5 m3.3.3.3.4(3).4(3).8.8.9.95 8 16 24 40 52 79 106 148 162
98 5 m3.3.3.3.4(3).4(3).8.8.9.95 8 16 24 40 52 79 106 148 162
99 5 m3.3.3.3.4(3).4(3).8.8.9.95 8 16 24 40 52 79 106 148 162
100 5 m3.3.3.3.4(3).4(3).8.8.9.95 8 16 24 40 52 79 106 148 162
101 5 m3.3.3.3.4(3).4(3).8.8.9.95 8 16 24 40 52 79 106 148 162
102 5 m3.3.3.3.4(3).4(3).8.8.9.95 8 16 24 40 52 79 106 148 162
103 5 m3.3.3.3.4(3).4(3).8.8.9.95 8 16 24 40 52 79 106 148 162
104 5 m3.3.3.3.4(3).4(3).8.8.9.95 8 16 24 40 52 79 106 148 162
105 5 m3.3.3.3.4(3).4(3).8.8.9.95 8 16 24 40 52 79 106 148 162
106 5 m3.3.3.3.4(3).4(3).8.8.9.95 8 16 24 40 52 79 106 148 162
107 5 m3.3.3.3.4(3).4(3).8.8.9.95 8 16 24 40 52 79 106 148 162
108 5 m3.3.3.3.4(3).4(3).8.8.9.95 8 16 24 40 52 79 106 148 162
109 5 m3.3.3.3.4(3).4(3).8.8.9.95 8 16 24 40 52 79 106 148 162
110 5 m3.3.3.3.4(3).4(3).8.8.9.95 8 16 24 40 52 79 106 148 162
111 5 m3.3.3.3.4(3).4(3).8.8.9.95 8 16 24 40 52 79 106 148 162
112 5 m3.3.3.3.4(3).4(3).8.8.9.95 8 16 24 40 52 79 106 148 162
113 5 m3.3.3.3.4(3).4(3).8.8.9.95 8 16 24 40 52 79 106 148 162
114 5 m3.3.3.3.4(3).4(3).8.8.9.95 8 16 24 40 52 79 106 148 162
115 5 m3.3.3.3.4(3).4(3).8.8.9.95 8 16 24 40 52 79 106 148 162
116 5 m3.3.3.3.4(3).4(3).8.8.9.95 8 16 24 40 52 79 106 148 162
117 5 m3.3.3.3.4(3).4(3).8.8.9.95 8 16 24 40 52 79 106 148 162
118 5 m3.3.3.3.4(3).4(3).8.8.9.95 8 16 24 40 52 79 106 148 162
119 5 m3.3.3.3.4(3).4(3).8.8.9.95 8 16 24 40 52 79 106 148 162
120 5 m3.3.3.3.4(3).4(3).8.8.9.95 8 16 24 40 52 79 106 148 162
121 5 m3.3.3.3.4(3).4(3).8.8.9.95 8 16 24 40 52 79 106 148 162
122 5 m3.3.3.3.4(3).4(3).8.8.9.95 8 16 24 40 52 79 106 148 162
123 5 m3.3.3.3.4(3).4(3).8.8.9.95 8 16 24 40 52 79 106 148 162
124 5 m3.3.3.3.4(3).4(3).8.8.9.95 8 16 24 40 52 79 106 148 162
125 5 m3.3.3.3.4(3).4(3).8.8.9.95 8 16 24 40 52 79 106 148 162
126 5 m3.3.3.3.4(3).4(3).8.8.9.95 8 16 24 40 52 79 106 148 162
127 5 m3.3.3.3.4(3).4(3).8.8.9.95 8 16 24 40 52 79 106 148 162
128 5 m3.3.3.3.4(3).4(3).8.8.9.95 8 16 24 40 52 79 106 148 162
129 5 m3.3.3.3.4(3).4(3).8.8.9.95 8 16 24 40 52 79 106 148 162
130 5 m3.3.3.3.4(3).4(3).8.8.9.95 8 16 24 40 52 79 106 148 162
131 5 m3.3.3.3.4(3).4(3).8.8.9.95 8 16 24 40 52 79 106 148 162
132 5 m3.3.3.3.4(3).4(3).8.8.9.95 8 16 24 40 52 79 106 148 162
133 5 m3.3.3.3.4(3).4(3).8.8.9.95 8 16 24 40 52 79 106 148 162
134 5 m3.3.3.3.4(3).4(3).8.8.9.95 8 16 24 40 52 79 106 148 162
135 5 m3.3.3.3.4(3).4(3).8.8.9.95 8 16 24 40 52 79 106 148 162
136 5 m3.3.3.3.4(3).4(3).8.8.9.95 8 16 24 40 52 79 106 148 162
137 5 m3.3.3.3.4(3).4(3).8.8.9.95 8 16 24 40 52 79 106 148 162
138 5 m3.3.3.3.4(3).4(3).8.8.9.95 8 16 24 40 52 79 106 148 162
139 5 m3.3.3.3.4(3).4(3).8.8.9.95 8 16 24 40 52 79 106 148 162
140 5 m3.3.3.3.4(3).4(3).8.8.9.95 8 16 24 40 52 79 106 148 162
141 5 m3.3.3.3.4(3).4(3).8.8.9.95 8 16 24 40 52 79 106 148 162
142 5 m3.3.3.3.4(3).4(3).8.8.9.95 8 16 24 40 52 79 106 148 162
143 5 m3.3.3.3.4(3).4(3).8.8.9.95 8 16 24 40 52 79 106 148 162
144 5 m3.3.3.3.4(3).4(3).8.8.9.95 8 16 24 40 52 79 106 148 162
145 5 m3.3.3.3.4(3).4(3).8.8.9.95 8 16 24 40 52 79 106 148 162
146 5 m3.3.3.3.4(3).4(3).8.8.9.95 8 16 24 40 52 79 106 148 162
147 5 m3.3.3.3.4(3).4(3).8.8.9.95 8 16 24 40 52 79 106 148 162
148 5 m3.3.3.3.4(3).4(3).8.8.9.95 8 16 24 40 52 79 106 148 162
149 5 m3.3.3.3.4(3).4(3).8.8.9.95 8 16 24 40 52 79 106 148 162
150 5 m3.3.3.3.4(3).4(3).8.8.9.95 8 16 24 40 52 79 106 148 162
151 5 m3.3.3.3.4(3).4(3).8.8.9.95 8 16 24 40 52 79 106 148 162
152 5 m3.3.3.3.4(3).4(3).8.8.9.95 8 16 24 40 52 79 106 148 162
153 5 m3.3.3.3.4(3).4(3).8.8.9.95 8 16 24 40 52 79 106 148 162
154 5 m3.3.3.3.4(3).4(3).8.8.9.95 8 16 24 40 52 79 106 148 162
155 5 m3.3.3.3.4(3).4(3).8.8.9.95 8 16 24 40 52 79 106 148 162
156 5 m3.3.3.3.4(3).4(3).8.8.9.95 8 16 24 40 52 79 106 148 162
157 5 m3.3.3.3.4(3).4(3).8.8.9.95 8 16 24 40 52 79 106 148 162
158 5 m3.3.3.3.4(3).4(3).8.8.9.95 8 16 24 40 52 79 106 148 162
159 5 m3.3.3.3.4(3).4(3).8.8.9.95 8 16 24 40 52 79 106 148 162
160 4 m3.3.3.8.8.9(2)4 7 16 24 38 54 80 109 110 178
161 4 m3.3.3.8.8.9(2)4 7 16 24 38 54 80 109 110 178
162 4 m3.3.3.8.8.9(2)4 7 16 24 38 54 80 109 110 178
163 4 m3.3.3.8.8.9(2)4 7 16 24 38 54 80 109 110 178
164 4 m3.3.3.8.8.9(2)4 7 16 24 38 54 80 109 110 178
165 4 m3.3.3.8.8.9(2)4 7 16 24 38 54 80 109 110 178
166 4 m3.3.3.8.8.9(2)4 7 16 24 38 54 80 109 110 178
167 4 m3.3.3.8.8.9(2)4 7 16 24 38 54 80 109 110 178
168 4 m3.3.3.8.8.9(2)4 7 16 24 38 54 80 109 110 178
169 4 m3.3.3.8.8.9(2)4 7 16 24 38 54 80 109 110 178
170 4 m3.3.3.8.8.9(2)4 7 16 24 38 54 80 109 110 178
171 4 m3.3.3.8.8.9(2)4 7 16 24 38 54 80 109 110 178
172 4 m3.3.3.8.8.9(2)4 7 16 24 38 54 80 109 110 178
173 4 m3.3.3.8.8.9(2)4 7 16 24 38 54 80 109 110 178
174 4 m3.3.3.8.8.9(2)4 7 16 24 38 54 80 109 110 178
175 4 m3.3.3.8.8.9(2)4 7 16 24 38 54 80 109 110 178
176 4 m3.3.3.8.8.9(2)4 7 16 24 38 54 80 109 110 178
177 4 m3.3.3.8.8.9(2)4 7 16 24 38 54 80 109 110 178
178 4 m3.3.3.8.8.9(2)4 7 16 24 38 54 80 109 110 178
179 4 m3.3.3.8.8.9(2)4 7 16 24 38 54 80 109 110 178
180 4 m3.3.3.8.8.9(2)4 7 16 24 38 54 80 109 110 178
181 4 m3.3.3.8.8.9(2)4 7 16 24 38 54 80 109 110 178
182 4 m3.3.3.8.8.9(2)4 7 16 24 38 54 80 109 110 178
183 4 m3.3.3.8.8.9(2)4 7 16 24 38 54 80 109 110 178
184 4 m3.3.3.8.8.9(2)4 7 16 24 38 54 80 109 110 178
185 4 m3.3.3.8.8.9(2)4 7 16 24 38 54 80 109 110 178
186 4 m3.3.3.8.8.9(2)4 7 16 24 38 54 80 109 110 178
187 4 m3.3.3.8.8.9(2)4 7 16 24 38 54 80 109 110 178
188 4 m3.3.3.8.8.9(2)4 7 16 24 38 54 80 109 110 178
189 4 m3.3.3.8.8.9(2)4 7 16 24 38 54 80 109 110 178
190 4 m3.3.3.8.8.9(2)4 7 16 24 38 54 80 109 110 178
191 4 m3.3.3.8.8.9(2)4 7 16 24 38 54 80 109 110 178
192 4 m3.3.3.8.8.9(2)4 7 16 24 38 54 80 109 110 178
193 4 m3.3.3.8.8.9(2)4 7 16 24 38 54 80 109 110 178
194 4 m3.3.3.8.8.9(2)4 7 16 24 38 54 80 109 110 178
195 4 m3.3.3.8.8.9(2)4 7 16 24 38 54 80 109 110 178
196 4 m3.3.3.8.8.9(2)4 7 16 24 38 54 80 109 110 178
197 4 m3.3.3.8.8.9(2)4 7 16 24 38 54 80 109 110 178
198 4 m3.3.3.8.8.9(2)4 7 16 24 38 54 80 109 110 178
199 4 m3.3.3.8.8.9(2)4 7 16 24 38 54 80 109 110 178
200 4 m3.3.3.8.8.9(2)4 7 16 24 38 54 80 109 110 178
201 4 m3.3.3.8.8.9(2)4 7 16 24 38 54 80 109 110 178
202 4 m3.3.3.8.8.9(2)4 7 16 24 38 54 80 109 110 178
203 4 m3.3.3.8.8.9(2)4 7 16 24 38 54 80 109 110 178
204 4 m3.3.3.8.8.9(2)4 7 16 24 38 54 80 109 110 178
205 4 m3.3.3.8.8.9(2)4 7 16 24 38 54 80 109 110 178
206 4 m3.3.3.8.8.9(2)4 7 16 24 38 54 80 109 110 178
207 4 m3.3.3.8.8.9(2)4 7 16 24 38 54 80 109 110 178
208 4 m3.3.3.8.8.9(2)4 7 16 24 38 54 80 109 110 178
209 4 m3.3.3.8.8.9(2)4 7 16 24 38 54 80 109 110 178
210 4 m3.3.3.8.8.9(2)4 7 16 24 38 54 80 109 110 178
211 4 m3.3.3.8.8.9(2)4 7 16 24 38 54 80 109 110 178
212 4 m3.3.3.8.8.9(2)4 7 16 24 38 54 80 109 110 178
213 4 m3.3.3.8.8.9(2)4 7 16 24 38 54 80 109 110 178
214 4 m3.3.3.8.8.9(2)4 7 16 24 38 54 80 109 110 178
215 4 m3.3.3.8.8.9(2)4 7 16 24 38 54 80 109 110 178
216 4 m3.3.3.8.8.9(2)4 7 16 24 38 54 80 109 110 178
217 4 m3.3.3.8.8.9(2)4 7 16 24 38 54 80 109 110 178
218 4 m3.3.3.8.8.9(2)4 7 16 24 38 54 80 109 110 178
219 4 m3.3.3.8.8.9(2)4 7 16 24 38 54 80 109 110 178
220 4 m3.3.3.8.8.9(2)4 7 16 24 38 54 80 109 110 178
221 4 m3.3.3.8.8.9(2)4 7 16 24 38 54 80 109 110 178
222 4 m3.3.3.8.8.9(2)4 7 16 24 38 54 80 109 110 178
223 4 m3.3.3.8.8.9(2)4 7 16 24 38 54 80 109 110 178
224 4 m3.3.3.8.8.9(2)4 7 16 24 38 54 80 109 110 178
225 4 m3.3.3.8.8.9(2)4 7 16 24 38 54 80 109 110 178
226 4 m3.3.3.8.8.9(2)4 7 16 24 38 54 80 109 110 178
227 4 m3.3.3.8.8.9(2)4 7 16 24 38 54 80 109 110 178
228 4 m3.3.3.8.8.9(2)4 7 16 24 38 54 80 109 110 178
229 4 m3.3.3.8.8.9(2)4 7 16 24 38 54 80 109 110 178
230 4 m3.3.3.8.8.9(2)4 7 16 24 38 54 80 109 110 178
231 4 m3.3.3.8.8.9(2)4 7 16 24 38 54 80 109 110 178
232 4 m3.3.3.8.8.9(2)4 7 16 24 38 54 80 109 110 178
233 4 m3.3.3.8.8.9(2)4 7 16 24 38 54 80 109 110 178
234 4 m3.3.3.8.8.9(2)4 7 16 24 38 54 80 109 110 178
235 4 m3.3.3.8.8.9(2)4 7 16 24 38 54 80 109 110 178
236 4 m3.3.3.8.8.9(2)4 7 16 24 38 54 80 109 110 178
237 4 m3.3.3.8.8.9(2)4 7 16 24 38 54 80 109 110 178
238 4 m3.3.3.8.8.9(2)4 7 16 24 38 54 80 109 110 178
239 4 m3.3.3.8.8.9(2)4 7 16 24 38 54 80 109 110 178
240 4 m3.3.3.8.8.9(2)4 7 16 24 38 54 80 109 110 178
241 4 m3.3.3.8.8.9(2)4 7 16 24 38 54 80 109 110 178
242 4 m3.3.3.8.8.9(2)4 7 16 24 38 54 80 109 110 178
243 4 m3.3.3.8.8.9(2)4 7 16 24 38 54 80 109 110 178
244 4 m3.3.3.8.8.9(2)4 7 16 24 38 54 80 109 110 178
245 4 m3.3.3.8.8.9(2)4 7 16 24 38 54 80 109 110 178
246 4 m3.3.3.8.8.9(2)4 7 16 24 38 54 80 109 110 178
247 4 m3.3.3.8.8.9(2)4 7 16 24 38 54 80 109 110 178
248 4 m3.3.3.8.8.9(2)4 7 16 24 38 54 80 109 110 178
249 4 m3.3.3.8.8.9(2)4 7 16 24 38 54 80 109 110 178
250 4 m3.3.3.8.8.9(2)4 7 16 24 38 54 80 109 110 178
251 4 m3.3.3.8.8.9(2)4 7 16 24 38 54 80 109 110 178
252 4 m3.3.3.8.8.9(2)4 7 16 24 38 54 80 109 110 178
253 4 m3.3.3.8.8.9(2)4 7 16 24 38 54 80 109 110 178
254 4 m3.3.3.8.8.9(2)4 7 16 24 38 54 80 109 110 178
255 4 m3.3.3.8.8.9(2)4 7 16 24 38 54 80 109 110 178

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)
spl-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 4 0 0 0 2 7 0 0 0 2 8 0 0 0 3 5 0 0 0 3 8 0 0 0 3 9 0 0 0 4 5 0 0 0 4 8 0 0 0 4 10 0 0 0 5 8 0 0 0 5 11 0 0 0 6 12 0 0 0 6 13 0 0 0 6 14 0 0 0 7 15 0 0 0 7 16 0 0 0 7 17 0 0 0 8 18 0 0 0 9 19 0 0 0 9 20 0 0 0 9 21 0 0 0 10 22 0 0 0 10 23 0 0 0 10 24 0 0 0 11 25 0 0 0 11 26 0 0 0 11 27 0 0 0 12 13 0 0 0 12 14 0 0 0 12 28 0 0 0 13 14 0 0 0 13 29 0 0 0 14 30 0 0 0 15 16 0 0 0 15 17 0 0 0 15 31 0 0 0 16 17 0 0 0 16 32 0 0 0 17 33 0 0 0 18 34 0 0 0 18 35 0 0 0 18 36 0 0 0 19 20 0 0 0 19 21 0 0 0 19 37 0 0 0 20 21 0 0 0 20 38 0 0 0 21 39 0 0 0 22 23 0 0 0 22 24 0 0 0 22 40 0 0 0 23 24 0 0 0 23 41 0 0 0 24 42 0 0 0 25 26 0 0 0 25 27 0 0 0 25 43 0 0 0 26 27 0 0 0 26 44 0 0 0 27 45 0 0 0 28 32 0 0 0 28 44 1 0 0 28 46 0 0 0 28 47 0 0 0 29 31 0 0 1 29 41 0 1 0 29 48 0 0 0 30 37 1 -1 1 30 42 0 0 0 30 49 0 0 0 30 50 0 0 0 31 41 0 1 -1 31 48 0 0 -1 32 46 0 0 0 32 47 0 0 0 32 51 0 0 0 33 39 1 -1 0 33 40 0 0 0 33 52 0 0 0 33 53 0 0 0 34 35 0 0 0 34 36 0 0 0 34 54 0 0 0 35 36 0 0 0 35 55 0 0 0 36 51 -1 0 0 37 49 -1 1 -1 37 50 -1 1 -1 37 54 0 0 0 38 45 0 1 -1 38 55 0 1 0 38 56 0 0 0 39 43 0 0 0 39 52 -1 1 0 39 53 -1 1 0 40 43 1 -1 0 40 52 0 0 0 40 53 0 0 0 41 48 0 -1 0 42 49 0 0 0 42 50 0 0 0 42 54 1 -1 1 43 52 -1 1 0 43 53 -1 1 0 44 46 -1 0 0 44 47 -1 0 0 44 51 -1 0 0 45 55 0 0 1 45 56 0 -1 1 46 51 0 0 0 46 57 0 0 0 47 51 0 0 0 47 58 0 0 0 48 59 0 0 0 49 54 1 -1 1 49 60 0 0 0 50 54 1 -1 1 50 61 0 0 0 52 62 0 0 0 53 63 0 0 0 55 56 0 -1 0 56 64 0 0 0 57 61 0 1 -1 57 62 0 1 0 57 64 0 0 0 58 59 1 -1 0 58 60 0 0 0 58 63 0 0 0 59 60 -1 1 0 59 63 -1 1 0 60 63 0 0 0 61 62 0 0 1 61 64 0 -1 1 62 64 0 -1 0
Key against the archive (mofplus-deposit)
the same key, character for character
TD10 as Systre prints it (mofplus-deposit)
620
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)
620.0
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)
620.0
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)
(3^3.8^2.9)3(3^3.12^3)2(3^4.4^2.8^2.9^2)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, 313.3.3.12(2).12(2).12(2) 3.3.3.12(2).12(2).12(2) 3^3.12^3 4 6 12 21 51 66 66 99 112 145
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, 633.3.3.12(2).12(2).12(2) 3.3.3.12(2).12(2).12(2) 3^3.12^3 4 6 15 24 36 63 84 87 117 154
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, 1593.3.3.3.4(3).4(3).8.8.9.9 3.3.3.3.4.4.8.8.12(2).12(2) 3^4.4^2.8^2.9^2 5 8 16 24 40 52 79 106 148 162
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, 2553.3.3.8.8.9(2) 3.3.3.8.8.12(2) 3^3.8^2.9 4 7 16 24 38 54 80 109 110 178

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

Net point symbol (rcsr-archive-key)
(3^3.8^2.9)3(3^3.12^3)2(3^4.4^2.8^2.9^2)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, 7, 27, 29, 31, 32, 36, 38, 39, 41, 42, 43, 45, 46, 48, 49, 50, 51, 52, 533.3.3.3.4(3).4(3).8.8.9.9 3.3.3.3.4.4.8.8.12(2).12(2) 3^4.4^2.8^2.9^2 5 8 16 24 40 52 79 106 148 162
5, 6, 8, 9, 10, 11, 13, 15, 16, 17, 18, 20, 21, 23, 24, 25, 33, 35, 56, 57, 59, 60, 61, 623.3.3.8.8.9(2) 3.3.3.8.8.12(2) 3^3.8^2.9 4 7 16 24 38 54 80 109 110 178
12, 14, 19, 22, 26, 34, 58, 633.3.3.12(2).12(2).12(2) 3.3.3.12(2).12(2).12(2) 3^3.12^3 4 6 15 24 36 63 84 87 117 154
28, 30, 37, 40, 44, 47, 54, 553.3.3.12(2).12(2).12(2) 3.3.3.12(2).12(2).12(2) 3^3.12^3 4 6 12 21 51 66 66 99 112 145

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
spl-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
1838 (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
2372 The order the ingest processed this net in, simplest first. A different number from the RCSR index above, meaning a different thing.