MOF++

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Net topology

bau

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

JSON · mfpx

288 vertices and 576 edges in the unit cell. 87 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 = 10.2763 Å, b = 10.2763 Å, c = 10.2763 Å
Cell angles
α = 90.00°, β = 90.00°, γ = 90.00°
Atoms in cell
288
Transitivity pqrs
2, 5, *, *
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 9 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 10 20 0 0 0 10 21 0 0 0 10 22 0 0 0 11 18 0 0 0 11 23 0 0 0 11 24 0 0 0 12 25 0 0 0 12 26 0 0 0 13 17 0 0 0 13 19 0 0 0 13 25 0 0 0 14 27 0 0 0 14 28 0 0 0 14 29 0 0 0 15 28 0 0 0 15 30 0 0 0 16 31 0 0 0 16 32 0 0 0 17 30 0 0 0 17 32 0 0 0 18 33 0 0 0 18 34 0 0 0 19 30 0 0 0 19 35 0 0 0 20 36 0 0 0 20 37 0 0 0 21 29 0 0 0 21 38 0 0 0 21 39 0 0 0 22 37 0 0 0 22 39 0 0 0 22 40 0 0 0 23 33 0 0 0 23 41 0 0 0 23 42 0 0 0 24 42 0 0 0 24 43 0 0 0 24 44 0 0 0 25 32 0 0 0 25 45 0 0 0 26 44 0 0 0 26 45 0 0 0 26 46 0 0 0 27 47 0 0 0 27 48 0 0 0 27 49 0 0 0 28 48 0 0 0 28 50 0 0 0 29 49 0 0 0 29 51 0 0 0 30 52 0 0 0 31 53 0 0 0 31 54 0 0 0 31 55 0 0 0 32 55 0 0 0 33 56 0 0 0 33 57 0 0 0 34 54 0 0 0 34 57 0 0 0 34 58 0 0 0 35 52 0 0 0 35 59 0 0 0 35 60 0 0 0 36 59 0 0 0 36 61 0 0 0 36 62 0 0 0 37 62 0 0 0 37 63 0 0 0 38 51 0 0 0 38 53 1 0 0 38 61 0 0 0 39 53 1 0 0 39 54 1 0 0 40 54 1 0 0 40 58 1 0 0 40 63 0 0 0 41 56 0 0 0 41 59 0 1 0 41 61 0 1 0 42 59 0 1 0 42 60 0 1 0 43 47 0 0 1 43 58 0 0 0 43 60 0 1 0 44 47 0 0 1 44 49 0 0 1 45 64 0 0 0 45 65 0 0 0 46 49 0 0 1 46 51 0 0 1 46 65 0 0 0 47 66 0 0 0 48 66 0 0 0 48 67 0 0 0 50 67 0 0 0 50 68 0 0 0 50 69 0 0 0 51 68 0 0 0 52 69 0 0 0 52 70 0 0 0 53 71 0 0 0 55 71 0 0 0 55 72 0 0 0 56 68 0 1 0 56 69 0 1 0 57 69 0 1 0 57 70 0 1 0 58 70 0 1 0 60 70 0 0 0 61 71 1 0 0 62 71 1 0 0 62 72 1 0 0 63 66 1 0 1 63 72 1 0 0 64 66 0 0 1 64 67 0 0 1 64 72 0 0 0 65 67 0 0 1 65 68 0 0 1
(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
61fe7508e29c16be4e25e3f85d1000fb (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: 288 of 288 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. 288 of 288 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 24.4.4.4.6(2).6(3)4 8 13 20 28 36 46 62 83 104
1 4 24.4.4.4.6(2).6(3)4 8 13 20 28 36 46 62 83 104
2 4 24.4.4.4.6(2).6(3)4 8 13 20 28 36 46 62 83 104
3 4 24.4.4.4.6(2).6(3)4 8 13 20 28 36 46 62 83 104
4 4 24.4.4.4.6(2).6(3)4 8 13 20 28 36 46 62 83 104
5 4 24.4.4.4.6(2).6(3)4 8 13 20 28 36 46 62 83 104
6 4 24.4.4.4.6(2).6(3)4 8 13 20 28 36 46 62 83 104
7 4 24.4.4.4.6(2).6(3)4 8 13 20 28 36 46 62 83 104
8 4 24.4.4.4.6(2).6(3)4 8 13 20 28 36 46 62 83 104
9 4 24.4.4.4.6(2).6(3)4 8 13 20 28 36 46 62 83 104
10 4 24.4.4.4.6(2).6(3)4 8 13 20 28 36 46 62 83 104
11 4 24.4.4.4.6(2).6(3)4 8 13 20 28 36 46 62 83 104
12 4 24.4.4.4.6(2).6(3)4 8 13 20 28 36 46 62 83 104
13 4 24.4.4.4.6(2).6(3)4 8 13 20 28 36 46 62 83 104
14 4 24.4.4.4.6(2).6(3)4 8 13 20 28 36 46 62 83 104
15 4 24.4.4.4.6(2).6(3)4 8 13 20 28 36 46 62 83 104
16 4 24.4.4.4.6(2).6(3)4 8 13 20 28 36 46 62 83 104
17 4 24.4.4.4.6(2).6(3)4 8 13 20 28 36 46 62 83 104
18 4 24.4.4.4.6(2).6(3)4 8 13 20 28 36 46 62 83 104
19 4 24.4.4.4.6(2).6(3)4 8 13 20 28 36 46 62 83 104
20 4 24.4.4.4.6(2).6(3)4 8 13 20 28 36 46 62 83 104
21 4 24.4.4.4.6(2).6(3)4 8 13 20 28 36 46 62 83 104
22 4 24.4.4.4.6(2).6(3)4 8 13 20 28 36 46 62 83 104
23 4 24.4.4.4.6(2).6(3)4 8 13 20 28 36 46 62 83 104
24 4 24.4.4.4.6(2).6(3)4 8 13 20 28 36 46 62 83 104
25 4 24.4.4.4.6(2).6(3)4 8 13 20 28 36 46 62 83 104
26 4 24.4.4.4.6(2).6(3)4 8 13 20 28 36 46 62 83 104
27 4 24.4.4.4.6(2).6(3)4 8 13 20 28 36 46 62 83 104
28 4 24.4.4.4.6(2).6(3)4 8 13 20 28 36 46 62 83 104
29 4 24.4.4.4.6(2).6(3)4 8 13 20 28 36 46 62 83 104
30 4 24.4.4.4.6(2).6(3)4 8 13 20 28 36 46 62 83 104
31 4 24.4.4.4.6(2).6(3)4 8 13 20 28 36 46 62 83 104
32 4 24.4.4.4.6(2).6(3)4 8 13 20 28 36 46 62 83 104
33 4 24.4.4.4.6(2).6(3)4 8 13 20 28 36 46 62 83 104
34 4 24.4.4.4.6(2).6(3)4 8 13 20 28 36 46 62 83 104
35 4 24.4.4.4.6(2).6(3)4 8 13 20 28 36 46 62 83 104
36 4 24.4.4.4.6(2).6(3)4 8 13 20 28 36 46 62 83 104
37 4 24.4.4.4.6(2).6(3)4 8 13 20 28 36 46 62 83 104
38 4 24.4.4.4.6(2).6(3)4 8 13 20 28 36 46 62 83 104
39 4 24.4.4.4.6(2).6(3)4 8 13 20 28 36 46 62 83 104
40 4 24.4.4.4.6(2).6(3)4 8 13 20 28 36 46 62 83 104
41 4 24.4.4.4.6(2).6(3)4 8 13 20 28 36 46 62 83 104
42 4 24.4.4.4.6(2).6(3)4 8 13 20 28 36 46 62 83 104
43 4 24.4.4.4.6(2).6(3)4 8 13 20 28 36 46 62 83 104
44 4 24.4.4.4.6(2).6(3)4 8 13 20 28 36 46 62 83 104
45 4 24.4.4.4.6(2).6(3)4 8 13 20 28 36 46 62 83 104
46 4 24.4.4.4.6(2).6(3)4 8 13 20 28 36 46 62 83 104
47 4 24.4.4.4.6(2).6(3)4 8 13 20 28 36 46 62 83 104
48 4 24.4.4.4.6(2).6(3)4 8 13 20 28 36 46 62 83 104
49 4 24.4.4.4.6(2).6(3)4 8 13 20 28 36 46 62 83 104
50 4 24.4.4.4.6(2).6(3)4 8 13 20 28 36 46 62 83 104
51 4 24.4.4.4.6(2).6(3)4 8 13 20 28 36 46 62 83 104
52 4 24.4.4.4.6(2).6(3)4 8 13 20 28 36 46 62 83 104
53 4 24.4.4.4.6(2).6(3)4 8 13 20 28 36 46 62 83 104
54 4 24.4.4.4.6(2).6(3)4 8 13 20 28 36 46 62 83 104
55 4 24.4.4.4.6(2).6(3)4 8 13 20 28 36 46 62 83 104
56 4 24.4.4.4.6(2).6(3)4 8 13 20 28 36 46 62 83 104
57 4 24.4.4.4.6(2).6(3)4 8 13 20 28 36 46 62 83 104
58 4 24.4.4.4.6(2).6(3)4 8 13 20 28 36 46 62 83 104
59 4 24.4.4.4.6(2).6(3)4 8 13 20 28 36 46 62 83 104
60 4 24.4.4.4.6(2).6(3)4 8 13 20 28 36 46 62 83 104
61 4 24.4.4.4.6(2).6(3)4 8 13 20 28 36 46 62 83 104
62 4 24.4.4.4.6(2).6(3)4 8 13 20 28 36 46 62 83 104
63 4 24.4.4.4.6(2).6(3)4 8 13 20 28 36 46 62 83 104
64 4 24.4.4.4.6(2).6(3)4 8 13 20 28 36 46 62 83 104
65 4 24.4.4.4.6(2).6(3)4 8 13 20 28 36 46 62 83 104
66 4 24.4.4.4.6(2).6(3)4 8 13 20 28 36 46 62 83 104
67 4 24.4.4.4.6(2).6(3)4 8 13 20 28 36 46 62 83 104
68 4 24.4.4.4.6(2).6(3)4 8 13 20 28 36 46 62 83 104
69 4 24.4.4.4.6(2).6(3)4 8 13 20 28 36 46 62 83 104
70 4 24.4.4.4.6(2).6(3)4 8 13 20 28 36 46 62 83 104
71 4 24.4.4.4.6(2).6(3)4 8 13 20 28 36 46 62 83 104
72 4 24.4.4.4.6(2).6(3)4 8 13 20 28 36 46 62 83 104
73 4 24.4.4.4.6(2).6(3)4 8 13 20 28 36 46 62 83 104
74 4 24.4.4.4.6(2).6(3)4 8 13 20 28 36 46 62 83 104
75 4 24.4.4.4.6(2).6(3)4 8 13 20 28 36 46 62 83 104
76 4 24.4.4.4.6(2).6(3)4 8 13 20 28 36 46 62 83 104
77 4 24.4.4.4.6(2).6(3)4 8 13 20 28 36 46 62 83 104
78 4 24.4.4.4.6(2).6(3)4 8 13 20 28 36 46 62 83 104
79 4 24.4.4.4.6(2).6(3)4 8 13 20 28 36 46 62 83 104
80 4 24.4.4.4.6(2).6(3)4 8 13 20 28 36 46 62 83 104
81 4 24.4.4.4.6(2).6(3)4 8 13 20 28 36 46 62 83 104
82 4 24.4.4.4.6(2).6(3)4 8 13 20 28 36 46 62 83 104
83 4 24.4.4.4.6(2).6(3)4 8 13 20 28 36 46 62 83 104
84 4 24.4.4.4.6(2).6(3)4 8 13 20 28 36 46 62 83 104
85 4 24.4.4.4.6(2).6(3)4 8 13 20 28 36 46 62 83 104
86 4 24.4.4.4.6(2).6(3)4 8 13 20 28 36 46 62 83 104
87 4 24.4.4.4.6(2).6(3)4 8 13 20 28 36 46 62 83 104
88 4 24.4.4.4.6(2).6(3)4 8 13 20 28 36 46 62 83 104
89 4 24.4.4.4.6(2).6(3)4 8 13 20 28 36 46 62 83 104
90 4 24.4.4.4.6(2).6(3)4 8 13 20 28 36 46 62 83 104
91 4 24.4.4.4.6(2).6(3)4 8 13 20 28 36 46 62 83 104
92 4 24.4.4.4.6(2).6(3)4 8 13 20 28 36 46 62 83 104
93 4 24.4.4.4.6(2).6(3)4 8 13 20 28 36 46 62 83 104
94 4 24.4.4.4.6(2).6(3)4 8 13 20 28 36 46 62 83 104
95 4 24.4.4.4.6(2).6(3)4 8 13 20 28 36 46 62 83 104
96 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
97 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
98 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
99 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
100 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
101 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
102 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
103 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
104 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
105 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
106 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
107 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
108 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
109 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
110 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
111 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
112 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
113 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
114 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
115 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
116 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
117 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
118 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
119 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
120 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
121 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
122 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
123 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
124 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
125 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
126 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
127 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
128 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
129 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
130 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
131 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
132 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
133 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
134 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
135 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
136 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
137 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
138 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
139 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
140 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
141 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
142 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
143 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
144 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
145 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
146 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
147 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
148 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
149 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
150 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
151 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
152 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
153 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
154 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
155 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
156 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
157 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
158 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
159 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
160 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
161 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
162 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
163 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
164 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
165 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
166 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
167 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
168 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
169 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
170 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
171 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
172 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
173 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
174 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
175 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
176 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
177 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
178 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
179 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
180 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
181 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
182 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
183 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
184 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
185 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
186 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
187 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
188 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
189 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
190 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
191 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
192 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
193 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
194 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
195 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
196 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
197 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
198 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
199 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
200 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
201 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
202 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
203 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
204 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
205 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
206 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
207 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
208 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
209 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
210 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
211 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
212 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
213 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
214 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
215 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
216 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
217 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
218 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
219 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
220 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
221 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
222 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
223 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
224 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
225 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
226 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
227 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
228 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
229 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
230 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
231 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
232 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
233 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
234 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
235 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
236 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
237 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
238 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
239 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
240 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
241 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
242 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
243 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
244 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
245 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
246 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
247 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
248 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
249 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
250 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
251 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
252 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
253 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
254 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
255 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
256 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
257 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
258 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
259 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
260 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
261 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
262 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
263 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
264 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
265 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
266 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
267 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
268 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
269 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
270 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
271 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
272 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
273 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
274 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
275 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
276 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
277 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
278 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
279 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
280 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
281 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
282 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
283 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
284 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
285 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
286 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108
287 4 14.4.4.6.6.6(2)4 9 15 21 28 37 49 65 85 108

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)
2, 5 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)
bau
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 9 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 10 20 0 0 0 10 21 0 0 0 10 22 0 0 0 11 18 0 0 0 11 23 0 0 0 11 24 0 0 0 12 25 0 0 0 12 26 0 0 0 13 17 0 0 0 13 19 0 0 0 13 25 0 0 0 14 27 0 0 0 14 28 0 0 0 14 29 0 0 0 15 28 0 0 0 15 30 0 0 0 16 31 0 0 0 16 32 0 0 0 17 30 0 0 0 17 32 0 0 0 18 33 0 0 0 18 34 0 0 0 19 30 0 0 0 19 35 0 0 0 20 36 0 0 0 20 37 0 0 0 21 29 0 0 0 21 38 0 0 0 21 39 0 0 0 22 37 0 0 0 22 39 0 0 0 22 40 0 0 0 23 33 0 0 0 23 41 0 0 0 23 42 0 0 0 24 42 0 0 0 24 43 0 0 0 24 44 0 0 0 25 32 0 0 0 25 45 0 0 0 26 44 0 0 0 26 45 0 0 0 26 46 0 0 0 27 47 0 0 0 27 48 0 0 0 27 49 0 0 0 28 48 0 0 0 28 50 0 0 0 29 49 0 0 0 29 51 0 0 0 30 52 0 0 0 31 53 0 0 0 31 54 0 0 0 31 55 0 0 0 32 55 0 0 0 33 56 0 0 0 33 57 0 0 0 34 54 0 0 0 34 57 0 0 0 34 58 0 0 0 35 52 0 0 0 35 59 0 0 0 35 60 0 0 0 36 59 0 0 0 36 61 0 0 0 36 62 0 0 0 37 62 0 0 0 37 63 0 0 0 38 51 0 0 0 38 53 1 0 0 38 61 0 0 0 39 53 1 0 0 39 54 1 0 0 40 54 1 0 0 40 58 1 0 0 40 63 0 0 0 41 56 0 0 0 41 59 0 1 0 41 61 0 1 0 42 59 0 1 0 42 60 0 1 0 43 47 0 0 1 43 58 0 0 0 43 60 0 1 0 44 47 0 0 1 44 49 0 0 1 45 64 0 0 0 45 65 0 0 0 46 49 0 0 1 46 51 0 0 1 46 65 0 0 0 47 66 0 0 0 48 66 0 0 0 48 67 0 0 0 50 67 0 0 0 50 68 0 0 0 50 69 0 0 0 51 68 0 0 0 52 69 0 0 0 52 70 0 0 0 53 71 0 0 0 55 71 0 0 0 55 72 0 0 0 56 68 0 1 0 56 69 0 1 0 57 69 0 1 0 57 70 0 1 0 58 70 0 1 0 60 70 0 0 0 61 71 1 0 0 62 71 1 0 0 62 72 1 0 0 63 66 1 0 1 63 72 1 0 0 64 66 0 0 1 64 67 0 0 1 64 72 0 0 0 65 67 0 0 1 65 68 0 0 1
Key against the archive (mofplus-deposit)
the same key, character for character
TD10 as Systre prints it (mofplus-deposit)
416
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)
416.3333333333333
Genus (mofplus-deposit)
73
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)
416.3333333333333
Genus (rcsr-archive-key)
73
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)
(4^3.6^3)2(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(3) 4.4.4.4.6.18 4^4.6^2 4 8 13 20 28 36 46 62 83 104
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, 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, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 2874.4.4.6.6.6(2) 4.4.4.6.6.18 4^3.6^3 4 9 15 21 28 37 49 65 85 108

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

Net point symbol (rcsr-archive-key)
(4^3.6^3)2(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, 4, 6, 12, 16, 21, 22, 26, 32, 36, 38, 41, 45, 47, 48, 52, 56, 59, 61, 64, 66, 69, 704.4.4.4.6(2).6(3) 4.4.4.4.6.18 4^4.6^2 4 8 13 20 28 36 46 62 83 104
2, 3, 5, 7, 8, 9, 10, 11, 13, 14, 15, 17, 18, 19, 20, 23, 24, 25, 27, 28, 29, 30, 31, 33, 34, 35, 37, 39, 40, 42, 43, 44, 46, 49, 50, 51, 53, 54, 55, 57, 58, 60, 62, 63, 65, 67, 68, 714.4.4.6.6.6(2) 4.4.4.6.6.18 4^3.6^3 4 9 15 21 28 37 49 65 85 108

Cross-checks

Name against the computed key
corroborated-by-systre-key
Stored symbols against the computed ones
corroborated: 288 of 288 vertex rows agree with mofpp.rings v2 (mofplus-deposit).
Stored sequences against the computed ones
corroborated: 288 of 288 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
bau
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
98 (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
2391 The order the ingest processed this net in, simplest first. A different number from the RCSR index above, meaning a different thing.