Net topology

bcu-t

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

JSON · mfpx

192 vertices and 384 edges in the unit cell. 48 of them leave the cell and continue into a neighbouring one; those are drawn in the accent colour and end at a hollow node. Squares are vertices of coordination 5 or more, circles of 4 or fewer. Drag to rotate, or focus the figure and use the arrow keys.

Crystallographic description

Spacegroup
Im-3m (No. 229)
Cell lengths
a = 8.0623 Å, b = 8.0623 Å, c = 8.0623 Å
Cell angles
α = 90.00°, β = 90.00°, γ = 90.00°
Atoms in cell
192
Transitivity pqrs
2, 6, *, *
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 2 6 0 0 0 2 7 0 0 0 2 8 0 0 0 3 6 0 0 0 3 9 0 0 0 3 10 0 0 0 4 8 0 0 0 4 11 0 0 0 4 12 0 0 0 5 10 0 0 0 5 12 0 0 0 5 13 0 0 0 6 14 0 0 0 6 15 0 0 0 7 15 0 0 0 7 16 0 0 0 7 17 0 0 0 8 16 0 0 0 8 18 0 0 0 9 19 0 0 0 9 20 0 0 0 9 21 0 0 0 10 20 0 0 0 10 22 0 0 0 11 18 0 0 0 11 23 0 0 0 11 24 0 0 0 12 24 0 0 0 12 25 0 0 0 13 22 0 0 0 13 26 0 0 0 13 27 0 0 0 14 28 0 0 0 14 29 0 0 0 14 30 0 0 0 15 30 0 0 0 15 31 0 0 0 16 32 0 0 0 16 33 0 0 0 17 31 0 0 0 17 34 0 0 0 17 35 0 0 0 18 32 0 0 0 18 36 0 0 0 19 37 0 0 0 19 38 0 0 0 19 39 0 0 0 20 40 0 0 0 20 41 0 0 0 21 39 0 0 0 21 41 0 0 0 21 42 0 0 0 22 40 0 0 0 22 43 0 0 0 23 44 0 0 0 23 45 0 0 0 23 46 0 0 0 24 45 0 0 0 24 47 0 0 0 25 47 0 0 0 25 48 0 0 0 25 49 0 0 0 26 34 0 0 0 26 43 0 0 0 26 50 0 0 0 27 50 0 0 0 27 51 0 0 0 27 52 0 0 0 28 53 0 0 0 28 54 0 0 0 28 55 0 0 0 29 54 0 0 0 29 56 0 0 0 29 57 0 0 0 30 55 0 0 0 30 58 0 0 0 31 58 0 0 0 31 59 0 0 0 32 60 0 0 0 32 61 0 0 0 33 61 0 0 0 33 62 0 0 0 33 63 0 0 0 34 59 0 0 0 34 64 0 0 0 35 64 0 0 0 35 65 0 0 0 35 66 0 0 0 36 60 0 0 0 36 67 0 0 0 36 68 0 0 0 37 57 0 0 0 37 69 0 0 0 37 70 0 0 0 38 67 1 0 0 38 68 1 0 0 38 70 0 0 0 39 65 0 1 0 39 68 1 0 0 40 71 0 0 0 40 72 0 0 0 41 72 0 0 0 41 73 0 0 0 42 65 0 1 0 42 66 0 1 0 42 73 0 0 0 43 59 0 0 0 43 71 0 0 0 44 54 0 0 1 44 56 0 0 1 44 74 0 0 0 45 75 0 0 0 45 76 0 0 0 46 56 0 0 1 46 76 0 0 0 46 77 0 0 0 47 75 0 0 0 47 78 0 0 0 48 62 0 0 0 48 69 0 -1 1 48 78 0 0 0 49 69 0 -1 1 49 70 0 -1 1 49 79 0 0 0 50 64 0 0 0 50 74 1 -1 0 51 53 1 -1 1 51 79 0 0 0 51 80 0 0 0 52 53 1 -1 1 52 54 1 -1 1 52 74 1 -1 0 53 81 0 0 0 55 81 0 0 0 55 82 0 0 0 56 83 0 0 0 57 83 0 0 0 57 84 0 0 0 58 82 0 0 0 58 85 0 0 0 59 85 0 0 0 60 86 0 0 0 60 87 0 0 0 61 87 0 0 0 61 88 0 0 0 62 84 0 -1 1 62 88 0 0 0 63 83 0 -1 1 63 84 0 -1 1 63 89 0 0 0 64 90 0 0 0 65 90 0 0 0 66 89 0 0 0 66 91 0 0 0 67 86 0 0 0 67 92 0 0 0 68 90 -1 1 0 69 84 0 0 0 70 92 1 0 0 71 86 1 0 0 71 87 1 0 0 72 87 1 0 0 72 88 1 0 0 73 81 1 0 1 73 91 0 1 0 74 90 -1 1 0 75 82 0 0 1 75 85 0 0 1 76 85 0 0 1 76 93 0 0 0 77 83 0 0 1 77 89 0 1 0 77 93 0 0 0 78 82 0 0 1 78 88 0 0 0 79 92 1 -1 1 79 94 0 0 0 80 81 1 -1 1 80 91 0 0 0 80 94 0 0 0 86 95 0 0 0 89 96 0 0 0 91 96 0 0 0 92 95 0 0 0 93 95 1 0 1 93 96 0 1 0 94 95 1 -1 1 94 96 0 0 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
5ebe9fb0e3982176c81d494b71905b3a (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: 192 of 192 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. 192 of 192 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 4 14.4.4.4.6(2).6(2)4 8 14 25 39 51 63 85 120 155
1 4 14.4.4.4.6(2).6(2)4 8 14 25 39 51 63 85 120 155
2 4 14.4.4.4.6(2).6(2)4 8 14 25 39 51 63 85 120 155
3 4 14.4.4.4.6(2).6(2)4 8 14 25 39 51 63 85 120 155
4 4 14.4.4.4.6(2).6(2)4 8 14 25 39 51 63 85 120 155
5 4 14.4.4.4.6(2).6(2)4 8 14 25 39 51 63 85 120 155
6 4 14.4.4.4.6(2).6(2)4 8 14 25 39 51 63 85 120 155
7 4 14.4.4.4.6(2).6(2)4 8 14 25 39 51 63 85 120 155
8 4 14.4.4.4.6(2).6(2)4 8 14 25 39 51 63 85 120 155
9 4 14.4.4.4.6(2).6(2)4 8 14 25 39 51 63 85 120 155
10 4 14.4.4.4.6(2).6(2)4 8 14 25 39 51 63 85 120 155
11 4 14.4.4.4.6(2).6(2)4 8 14 25 39 51 63 85 120 155
12 4 14.4.4.4.6(2).6(2)4 8 14 25 39 51 63 85 120 155
13 4 14.4.4.4.6(2).6(2)4 8 14 25 39 51 63 85 120 155
14 4 14.4.4.4.6(2).6(2)4 8 14 25 39 51 63 85 120 155
15 4 14.4.4.4.6(2).6(2)4 8 14 25 39 51 63 85 120 155
16 4 14.4.4.4.6(2).6(2)4 8 14 25 39 51 63 85 120 155
17 4 14.4.4.4.6(2).6(2)4 8 14 25 39 51 63 85 120 155
18 4 14.4.4.4.6(2).6(2)4 8 14 25 39 51 63 85 120 155
19 4 14.4.4.4.6(2).6(2)4 8 14 25 39 51 63 85 120 155
20 4 14.4.4.4.6(2).6(2)4 8 14 25 39 51 63 85 120 155
21 4 14.4.4.4.6(2).6(2)4 8 14 25 39 51 63 85 120 155
22 4 14.4.4.4.6(2).6(2)4 8 14 25 39 51 63 85 120 155
23 4 14.4.4.4.6(2).6(2)4 8 14 25 39 51 63 85 120 155
24 4 14.4.4.4.6(2).6(2)4 8 14 25 39 51 63 85 120 155
25 4 14.4.4.4.6(2).6(2)4 8 14 25 39 51 63 85 120 155
26 4 14.4.4.4.6(2).6(2)4 8 14 25 39 51 63 85 120 155
27 4 14.4.4.4.6(2).6(2)4 8 14 25 39 51 63 85 120 155
28 4 14.4.4.4.6(2).6(2)4 8 14 25 39 51 63 85 120 155
29 4 14.4.4.4.6(2).6(2)4 8 14 25 39 51 63 85 120 155
30 4 14.4.4.4.6(2).6(2)4 8 14 25 39 51 63 85 120 155
31 4 14.4.4.4.6(2).6(2)4 8 14 25 39 51 63 85 120 155
32 4 14.4.4.4.6(2).6(2)4 8 14 25 39 51 63 85 120 155
33 4 14.4.4.4.6(2).6(2)4 8 14 25 39 51 63 85 120 155
34 4 14.4.4.4.6(2).6(2)4 8 14 25 39 51 63 85 120 155
35 4 14.4.4.4.6(2).6(2)4 8 14 25 39 51 63 85 120 155
36 4 14.4.4.4.6(2).6(2)4 8 14 25 39 51 63 85 120 155
37 4 14.4.4.4.6(2).6(2)4 8 14 25 39 51 63 85 120 155
38 4 14.4.4.4.6(2).6(2)4 8 14 25 39 51 63 85 120 155
39 4 14.4.4.4.6(2).6(2)4 8 14 25 39 51 63 85 120 155
40 4 14.4.4.4.6(2).6(2)4 8 14 25 39 51 63 85 120 155
41 4 14.4.4.4.6(2).6(2)4 8 14 25 39 51 63 85 120 155
42 4 14.4.4.4.6(2).6(2)4 8 14 25 39 51 63 85 120 155
43 4 14.4.4.4.6(2).6(2)4 8 14 25 39 51 63 85 120 155
44 4 14.4.4.4.6(2).6(2)4 8 14 25 39 51 63 85 120 155
45 4 14.4.4.4.6(2).6(2)4 8 14 25 39 51 63 85 120 155
46 4 14.4.4.4.6(2).6(2)4 8 14 25 39 51 63 85 120 155
47 4 14.4.4.4.6(2).6(2)4 8 14 25 39 51 63 85 120 155
48 4 14.4.4.4.6(2).6(2)4 8 14 25 39 51 63 85 120 155
49 4 14.4.4.4.6(2).6(2)4 8 14 25 39 51 63 85 120 155
50 4 14.4.4.4.6(2).6(2)4 8 14 25 39 51 63 85 120 155
51 4 14.4.4.4.6(2).6(2)4 8 14 25 39 51 63 85 120 155
52 4 14.4.4.4.6(2).6(2)4 8 14 25 39 51 63 85 120 155
53 4 14.4.4.4.6(2).6(2)4 8 14 25 39 51 63 85 120 155
54 4 14.4.4.4.6(2).6(2)4 8 14 25 39 51 63 85 120 155
55 4 14.4.4.4.6(2).6(2)4 8 14 25 39 51 63 85 120 155
56 4 14.4.4.4.6(2).6(2)4 8 14 25 39 51 63 85 120 155
57 4 14.4.4.4.6(2).6(2)4 8 14 25 39 51 63 85 120 155
58 4 14.4.4.4.6(2).6(2)4 8 14 25 39 51 63 85 120 155
59 4 14.4.4.4.6(2).6(2)4 8 14 25 39 51 63 85 120 155
60 4 14.4.4.4.6(2).6(2)4 8 14 25 39 51 63 85 120 155
61 4 14.4.4.4.6(2).6(2)4 8 14 25 39 51 63 85 120 155
62 4 14.4.4.4.6(2).6(2)4 8 14 25 39 51 63 85 120 155
63 4 14.4.4.4.6(2).6(2)4 8 14 25 39 51 63 85 120 155
64 4 14.4.4.4.6(2).6(2)4 8 14 25 39 51 63 85 120 155
65 4 14.4.4.4.6(2).6(2)4 8 14 25 39 51 63 85 120 155
66 4 14.4.4.4.6(2).6(2)4 8 14 25 39 51 63 85 120 155
67 4 14.4.4.4.6(2).6(2)4 8 14 25 39 51 63 85 120 155
68 4 14.4.4.4.6(2).6(2)4 8 14 25 39 51 63 85 120 155
69 4 14.4.4.4.6(2).6(2)4 8 14 25 39 51 63 85 120 155
70 4 14.4.4.4.6(2).6(2)4 8 14 25 39 51 63 85 120 155
71 4 14.4.4.4.6(2).6(2)4 8 14 25 39 51 63 85 120 155
72 4 14.4.4.4.6(2).6(2)4 8 14 25 39 51 63 85 120 155
73 4 14.4.4.4.6(2).6(2)4 8 14 25 39 51 63 85 120 155
74 4 14.4.4.4.6(2).6(2)4 8 14 25 39 51 63 85 120 155
75 4 14.4.4.4.6(2).6(2)4 8 14 25 39 51 63 85 120 155
76 4 14.4.4.4.6(2).6(2)4 8 14 25 39 51 63 85 120 155
77 4 14.4.4.4.6(2).6(2)4 8 14 25 39 51 63 85 120 155
78 4 14.4.4.4.6(2).6(2)4 8 14 25 39 51 63 85 120 155
79 4 14.4.4.4.6(2).6(2)4 8 14 25 39 51 63 85 120 155
80 4 14.4.4.4.6(2).6(2)4 8 14 25 39 51 63 85 120 155
81 4 14.4.4.4.6(2).6(2)4 8 14 25 39 51 63 85 120 155
82 4 14.4.4.4.6(2).6(2)4 8 14 25 39 51 63 85 120 155
83 4 14.4.4.4.6(2).6(2)4 8 14 25 39 51 63 85 120 155
84 4 14.4.4.4.6(2).6(2)4 8 14 25 39 51 63 85 120 155
85 4 14.4.4.4.6(2).6(2)4 8 14 25 39 51 63 85 120 155
86 4 14.4.4.4.6(2).6(2)4 8 14 25 39 51 63 85 120 155
87 4 14.4.4.4.6(2).6(2)4 8 14 25 39 51 63 85 120 155
88 4 14.4.4.4.6(2).6(2)4 8 14 25 39 51 63 85 120 155
89 4 14.4.4.4.6(2).6(2)4 8 14 25 39 51 63 85 120 155
90 4 14.4.4.4.6(2).6(2)4 8 14 25 39 51 63 85 120 155
91 4 14.4.4.4.6(2).6(2)4 8 14 25 39 51 63 85 120 155
92 4 14.4.4.4.6(2).6(2)4 8 14 25 39 51 63 85 120 155
93 4 14.4.4.4.6(2).6(2)4 8 14 25 39 51 63 85 120 155
94 4 14.4.4.4.6(2).6(2)4 8 14 25 39 51 63 85 120 155
95 4 14.4.4.4.6(2).6(2)4 8 14 25 39 51 63 85 120 155
96 4 14.4.4.6.6.8(2)4 9 16 24 35 52 72 92 113 139
97 4 14.4.4.6.6.8(2)4 9 16 24 35 52 72 92 113 139
98 4 14.4.4.6.6.8(2)4 9 16 24 35 52 72 92 113 139
99 4 14.4.4.6.6.8(2)4 9 16 24 35 52 72 92 113 139
100 4 14.4.4.6.6.8(2)4 9 16 24 35 52 72 92 113 139
101 4 14.4.4.6.6.8(2)4 9 16 24 35 52 72 92 113 139
102 4 14.4.4.6.6.8(2)4 9 16 24 35 52 72 92 113 139
103 4 14.4.4.6.6.8(2)4 9 16 24 35 52 72 92 113 139
104 4 14.4.4.6.6.8(2)4 9 16 24 35 52 72 92 113 139
105 4 14.4.4.6.6.8(2)4 9 16 24 35 52 72 92 113 139
106 4 14.4.4.6.6.8(2)4 9 16 24 35 52 72 92 113 139
107 4 14.4.4.6.6.8(2)4 9 16 24 35 52 72 92 113 139
108 4 14.4.4.6.6.8(2)4 9 16 24 35 52 72 92 113 139
109 4 14.4.4.6.6.8(2)4 9 16 24 35 52 72 92 113 139
110 4 14.4.4.6.6.8(2)4 9 16 24 35 52 72 92 113 139
111 4 14.4.4.6.6.8(2)4 9 16 24 35 52 72 92 113 139
112 4 14.4.4.6.6.8(2)4 9 16 24 35 52 72 92 113 139
113 4 14.4.4.6.6.8(2)4 9 16 24 35 52 72 92 113 139
114 4 14.4.4.6.6.8(2)4 9 16 24 35 52 72 92 113 139
115 4 14.4.4.6.6.8(2)4 9 16 24 35 52 72 92 113 139
116 4 14.4.4.6.6.8(2)4 9 16 24 35 52 72 92 113 139
117 4 14.4.4.6.6.8(2)4 9 16 24 35 52 72 92 113 139
118 4 14.4.4.6.6.8(2)4 9 16 24 35 52 72 92 113 139
119 4 14.4.4.6.6.8(2)4 9 16 24 35 52 72 92 113 139
120 4 14.4.4.6.6.8(2)4 9 16 24 35 52 72 92 113 139
121 4 14.4.4.6.6.8(2)4 9 16 24 35 52 72 92 113 139
122 4 14.4.4.6.6.8(2)4 9 16 24 35 52 72 92 113 139
123 4 14.4.4.6.6.8(2)4 9 16 24 35 52 72 92 113 139
124 4 14.4.4.6.6.8(2)4 9 16 24 35 52 72 92 113 139
125 4 14.4.4.6.6.8(2)4 9 16 24 35 52 72 92 113 139
126 4 14.4.4.6.6.8(2)4 9 16 24 35 52 72 92 113 139
127 4 14.4.4.6.6.8(2)4 9 16 24 35 52 72 92 113 139
128 4 14.4.4.6.6.8(2)4 9 16 24 35 52 72 92 113 139
129 4 14.4.4.6.6.8(2)4 9 16 24 35 52 72 92 113 139
130 4 14.4.4.6.6.8(2)4 9 16 24 35 52 72 92 113 139
131 4 14.4.4.6.6.8(2)4 9 16 24 35 52 72 92 113 139
132 4 14.4.4.6.6.8(2)4 9 16 24 35 52 72 92 113 139
133 4 14.4.4.6.6.8(2)4 9 16 24 35 52 72 92 113 139
134 4 14.4.4.6.6.8(2)4 9 16 24 35 52 72 92 113 139
135 4 14.4.4.6.6.8(2)4 9 16 24 35 52 72 92 113 139
136 4 14.4.4.6.6.8(2)4 9 16 24 35 52 72 92 113 139
137 4 14.4.4.6.6.8(2)4 9 16 24 35 52 72 92 113 139
138 4 14.4.4.6.6.8(2)4 9 16 24 35 52 72 92 113 139
139 4 14.4.4.6.6.8(2)4 9 16 24 35 52 72 92 113 139
140 4 14.4.4.6.6.8(2)4 9 16 24 35 52 72 92 113 139
141 4 14.4.4.6.6.8(2)4 9 16 24 35 52 72 92 113 139
142 4 14.4.4.6.6.8(2)4 9 16 24 35 52 72 92 113 139
143 4 14.4.4.6.6.8(2)4 9 16 24 35 52 72 92 113 139
144 4 14.4.4.6.6.8(2)4 9 16 24 35 52 72 92 113 139
145 4 14.4.4.6.6.8(2)4 9 16 24 35 52 72 92 113 139
146 4 14.4.4.6.6.8(2)4 9 16 24 35 52 72 92 113 139
147 4 14.4.4.6.6.8(2)4 9 16 24 35 52 72 92 113 139
148 4 14.4.4.6.6.8(2)4 9 16 24 35 52 72 92 113 139
149 4 14.4.4.6.6.8(2)4 9 16 24 35 52 72 92 113 139
150 4 14.4.4.6.6.8(2)4 9 16 24 35 52 72 92 113 139
151 4 14.4.4.6.6.8(2)4 9 16 24 35 52 72 92 113 139
152 4 14.4.4.6.6.8(2)4 9 16 24 35 52 72 92 113 139
153 4 14.4.4.6.6.8(2)4 9 16 24 35 52 72 92 113 139
154 4 14.4.4.6.6.8(2)4 9 16 24 35 52 72 92 113 139
155 4 14.4.4.6.6.8(2)4 9 16 24 35 52 72 92 113 139
156 4 14.4.4.6.6.8(2)4 9 16 24 35 52 72 92 113 139
157 4 14.4.4.6.6.8(2)4 9 16 24 35 52 72 92 113 139
158 4 14.4.4.6.6.8(2)4 9 16 24 35 52 72 92 113 139
159 4 14.4.4.6.6.8(2)4 9 16 24 35 52 72 92 113 139
160 4 14.4.4.6.6.8(2)4 9 16 24 35 52 72 92 113 139
161 4 14.4.4.6.6.8(2)4 9 16 24 35 52 72 92 113 139
162 4 14.4.4.6.6.8(2)4 9 16 24 35 52 72 92 113 139
163 4 14.4.4.6.6.8(2)4 9 16 24 35 52 72 92 113 139
164 4 14.4.4.6.6.8(2)4 9 16 24 35 52 72 92 113 139
165 4 14.4.4.6.6.8(2)4 9 16 24 35 52 72 92 113 139
166 4 14.4.4.6.6.8(2)4 9 16 24 35 52 72 92 113 139
167 4 14.4.4.6.6.8(2)4 9 16 24 35 52 72 92 113 139
168 4 14.4.4.6.6.8(2)4 9 16 24 35 52 72 92 113 139
169 4 14.4.4.6.6.8(2)4 9 16 24 35 52 72 92 113 139
170 4 14.4.4.6.6.8(2)4 9 16 24 35 52 72 92 113 139
171 4 14.4.4.6.6.8(2)4 9 16 24 35 52 72 92 113 139
172 4 14.4.4.6.6.8(2)4 9 16 24 35 52 72 92 113 139
173 4 14.4.4.6.6.8(2)4 9 16 24 35 52 72 92 113 139
174 4 14.4.4.6.6.8(2)4 9 16 24 35 52 72 92 113 139
175 4 14.4.4.6.6.8(2)4 9 16 24 35 52 72 92 113 139
176 4 14.4.4.6.6.8(2)4 9 16 24 35 52 72 92 113 139
177 4 14.4.4.6.6.8(2)4 9 16 24 35 52 72 92 113 139
178 4 14.4.4.6.6.8(2)4 9 16 24 35 52 72 92 113 139
179 4 14.4.4.6.6.8(2)4 9 16 24 35 52 72 92 113 139
180 4 14.4.4.6.6.8(2)4 9 16 24 35 52 72 92 113 139
181 4 14.4.4.6.6.8(2)4 9 16 24 35 52 72 92 113 139
182 4 14.4.4.6.6.8(2)4 9 16 24 35 52 72 92 113 139
183 4 14.4.4.6.6.8(2)4 9 16 24 35 52 72 92 113 139
184 4 14.4.4.6.6.8(2)4 9 16 24 35 52 72 92 113 139
185 4 14.4.4.6.6.8(2)4 9 16 24 35 52 72 92 113 139
186 4 14.4.4.6.6.8(2)4 9 16 24 35 52 72 92 113 139
187 4 14.4.4.6.6.8(2)4 9 16 24 35 52 72 92 113 139
188 4 14.4.4.6.6.8(2)4 9 16 24 35 52 72 92 113 139
189 4 14.4.4.6.6.8(2)4 9 16 24 35 52 72 92 113 139
190 4 14.4.4.6.6.8(2)4 9 16 24 35 52 72 92 113 139
191 4 14.4.4.6.6.8(2)4 9 16 24 35 52 72 92 113 139

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)
Im-3m (No. 229)
Transitivity p, q (mofplus-deposit)
2, 6 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)
bcu-t
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 2 6 0 0 0 2 7 0 0 0 2 8 0 0 0 3 6 0 0 0 3 9 0 0 0 3 10 0 0 0 4 8 0 0 0 4 11 0 0 0 4 12 0 0 0 5 10 0 0 0 5 12 0 0 0 5 13 0 0 0 6 14 0 0 0 6 15 0 0 0 7 15 0 0 0 7 16 0 0 0 7 17 0 0 0 8 16 0 0 0 8 18 0 0 0 9 19 0 0 0 9 20 0 0 0 9 21 0 0 0 10 20 0 0 0 10 22 0 0 0 11 18 0 0 0 11 23 0 0 0 11 24 0 0 0 12 24 0 0 0 12 25 0 0 0 13 22 0 0 0 13 26 0 0 0 13 27 0 0 0 14 28 0 0 0 14 29 0 0 0 14 30 0 0 0 15 30 0 0 0 15 31 0 0 0 16 32 0 0 0 16 33 0 0 0 17 31 0 0 0 17 34 0 0 0 17 35 0 0 0 18 32 0 0 0 18 36 0 0 0 19 37 0 0 0 19 38 0 0 0 19 39 0 0 0 20 40 0 0 0 20 41 0 0 0 21 39 0 0 0 21 41 0 0 0 21 42 0 0 0 22 40 0 0 0 22 43 0 0 0 23 44 0 0 0 23 45 0 0 0 23 46 0 0 0 24 45 0 0 0 24 47 0 0 0 25 47 0 0 0 25 48 0 0 0 25 49 0 0 0 26 34 0 0 0 26 43 0 0 0 26 50 0 0 0 27 50 0 0 0 27 51 0 0 0 27 52 0 0 0 28 53 0 0 0 28 54 0 0 0 28 55 0 0 0 29 54 0 0 0 29 56 0 0 0 29 57 0 0 0 30 55 0 0 0 30 58 0 0 0 31 58 0 0 0 31 59 0 0 0 32 60 0 0 0 32 61 0 0 0 33 61 0 0 0 33 62 0 0 0 33 63 0 0 0 34 59 0 0 0 34 64 0 0 0 35 64 0 0 0 35 65 0 0 0 35 66 0 0 0 36 60 0 0 0 36 67 0 0 0 36 68 0 0 0 37 57 0 0 0 37 69 0 0 0 37 70 0 0 0 38 67 1 0 0 38 68 1 0 0 38 70 0 0 0 39 65 0 1 0 39 68 1 0 0 40 71 0 0 0 40 72 0 0 0 41 72 0 0 0 41 73 0 0 0 42 65 0 1 0 42 66 0 1 0 42 73 0 0 0 43 59 0 0 0 43 71 0 0 0 44 54 0 0 1 44 56 0 0 1 44 74 0 0 0 45 75 0 0 0 45 76 0 0 0 46 56 0 0 1 46 76 0 0 0 46 77 0 0 0 47 75 0 0 0 47 78 0 0 0 48 62 0 0 0 48 69 0 -1 1 48 78 0 0 0 49 69 0 -1 1 49 70 0 -1 1 49 79 0 0 0 50 64 0 0 0 50 74 1 -1 0 51 53 1 -1 1 51 79 0 0 0 51 80 0 0 0 52 53 1 -1 1 52 54 1 -1 1 52 74 1 -1 0 53 81 0 0 0 55 81 0 0 0 55 82 0 0 0 56 83 0 0 0 57 83 0 0 0 57 84 0 0 0 58 82 0 0 0 58 85 0 0 0 59 85 0 0 0 60 86 0 0 0 60 87 0 0 0 61 87 0 0 0 61 88 0 0 0 62 84 0 -1 1 62 88 0 0 0 63 83 0 -1 1 63 84 0 -1 1 63 89 0 0 0 64 90 0 0 0 65 90 0 0 0 66 89 0 0 0 66 91 0 0 0 67 86 0 0 0 67 92 0 0 0 68 90 -1 1 0 69 84 0 0 0 70 92 1 0 0 71 86 1 0 0 71 87 1 0 0 72 87 1 0 0 72 88 1 0 0 73 81 1 0 1 73 91 0 1 0 74 90 -1 1 0 75 82 0 0 1 75 85 0 0 1 76 85 0 0 1 76 93 0 0 0 77 83 0 0 1 77 89 0 1 0 77 93 0 0 0 78 82 0 0 1 78 88 0 0 0 79 92 1 -1 1 79 94 0 0 0 80 81 1 -1 1 80 91 0 0 0 80 94 0 0 0 86 95 0 0 0 89 96 0 0 0 91 96 0 0 0 92 95 0 0 0 93 95 1 0 1 93 96 0 1 0 94 95 1 -1 1 94 96 0 0 0
Key against the archive (mofplus-deposit)
the same key, character for character
TD10 as Systre prints it (mofplus-deposit)
561
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)
561.0
Genus (mofplus-deposit)
97
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)
561.0
Genus (rcsr-archive-key)
97
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)
(4^3.6^2.8)(4^4.6^2)
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, 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, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 954.4.4.4.6(2).6(2) 4.4.4.4.8.12 4^4.6^2 4 8 14 25 39 51 63 85 120 155
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, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 1914.4.4.6.6.8(2) 4.4.4.8.8.12 4^3.6^2.8 4 9 16 24 35 52 72 92 113 139

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

Net point symbol (rcsr-archive-key)
(4^3.6^2.8)(4^4.6^2)
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, 3, 7, 9, 14, 19, 20, 21, 23, 25, 27, 29, 30, 31, 33, 37, 38, 39, 41, 44, 45, 46, 47, 49, 51, 52, 53, 55, 57, 59, 60, 61, 63, 64, 66, 68, 69, 74, 76, 79, 82, 83, 86, 90, 91, 93, 954.4.4.4.6(2).6(2) 4.4.4.4.8.12 4^4.6^2 4 8 14 25 39 51 63 85 120 155
2, 4, 5, 6, 8, 10, 11, 12, 13, 15, 16, 17, 18, 22, 24, 26, 28, 32, 34, 35, 36, 40, 42, 43, 48, 50, 54, 56, 58, 62, 65, 67, 70, 71, 72, 73, 75, 77, 78, 80, 81, 84, 85, 87, 88, 89, 92, 944.4.4.6.6.8(2) 4.4.4.8.8.12 4^3.6^2.8 4 9 16 24 35 52 72 92 113 139

Cross-checks

Name against the computed key
corroborated-by-systre-key
Stored symbols against the computed ones
corroborated: 192 of 192 vertex rows agree with mofpp.rings v2 (mofplus-deposit).
Stored sequences against the computed ones
corroborated: 192 of 192 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
bcu-t
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
157 (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
2318 The order the ingest processed this net in, simplest first. A different number from the RCSR index above, meaning a different thing.