Net topology

mgd-a

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

JSON · mfpx

288 vertices and 480 edges in the unit cell. 36 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 = 10.6583 Å, b = 10.6583 Å, c = 10.6583 Å
Cell angles
α = 90.00°, β = 90.00°, γ = 90.00°
Atoms in cell
288
Transitivity pqrs
4, 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 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 7 14 0 0 0 7 15 0 0 0 8 16 0 0 0 9 17 0 0 0 9 18 0 0 0 10 19 0 0 0 10 20 0 0 0 11 21 0 0 0 11 22 0 0 0 12 13 0 0 0 12 23 0 0 0 13 24 0 0 0 14 15 0 0 0 14 25 0 0 0 15 26 0 0 0 16 27 0 0 0 16 28 0 0 0 17 18 0 0 0 17 29 0 0 0 18 30 0 0 0 19 20 0 0 0 19 31 0 0 0 20 32 0 0 0 21 22 0 0 0 21 33 0 0 0 22 34 0 0 0 23 35 0 0 0 23 36 0 0 0 24 37 0 0 0 24 38 0 0 0 25 38 1 0 0 25 39 0 0 0 26 40 0 0 0 26 41 0 0 0 27 28 0 0 0 27 42 0 0 0 28 43 0 0 0 29 36 0 1 0 29 44 0 0 0 30 41 -1 1 0 30 45 0 0 0 31 46 0 0 0 31 47 0 0 0 32 37 0 0 1 32 39 -1 0 1 33 46 -1 1 0 33 48 0 0 0 34 35 -1 1 1 34 44 -1 0 1 35 49 0 0 0 36 50 0 0 0 37 51 0 0 0 38 52 0 0 0 39 53 0 0 0 40 43 1 -1 -1 40 54 0 0 0 41 55 0 0 0 42 47 0 1 0 42 48 1 0 0 43 45 0 0 1 44 56 0 0 0 45 57 0 0 0 46 58 0 0 0 47 59 0 0 0 48 60 0 0 0 49 54 0 0 0 49 61 0 0 0 50 59 0 0 0 50 62 0 0 0 51 57 0 0 0 51 63 0 0 0 52 60 0 0 0 52 64 0 0 0 53 56 0 0 0 53 65 0 0 0 54 61 0 0 0 55 58 0 0 0 55 66 0 0 0 56 65 0 0 0 57 63 0 0 0 58 66 0 0 0 59 62 0 0 0 60 64 0 0 0 61 67 0 0 0 62 68 0 0 0 63 69 0 0 0 64 70 0 0 0 65 71 0 0 0 66 72 0 0 0 67 68 1 0 -1 67 69 0 0 0 67 71 0 0 0 67 72 0 0 -1 68 70 0 0 0 68 71 -1 0 1 68 72 -1 0 0 69 70 1 0 -1 69 71 0 0 0 69 72 0 0 -1 70 71 -1 0 1 70 72 -1 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
21ce9e4196f10342dd459270e3e6b928 (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 5 mm23.3.3.3.4(3).4(3).12.12.12.125 7 11 14 26 46 54 72 92 132
1 5 mm23.3.3.3.4(3).4(3).12.12.12.125 7 11 14 26 46 54 72 92 132
2 5 mm23.3.3.3.4(3).4(3).12.12.12.125 7 11 14 26 46 54 72 92 132
3 5 mm23.3.3.3.4(3).4(3).12.12.12.125 7 11 14 26 46 54 72 92 132
4 5 mm23.3.3.3.4(3).4(3).12.12.12.125 7 11 14 26 46 54 72 92 132
5 5 mm23.3.3.3.4(3).4(3).12.12.12.125 7 11 14 26 46 54 72 92 132
6 5 mm23.3.3.3.4(3).4(3).12.12.12.125 7 11 14 26 46 54 72 92 132
7 5 mm23.3.3.3.4(3).4(3).12.12.12.125 7 11 14 26 46 54 72 92 132
8 5 mm23.3.3.3.4(3).4(3).12.12.12.125 7 11 14 26 46 54 72 92 132
9 5 mm23.3.3.3.4(3).4(3).12.12.12.125 7 11 14 26 46 54 72 92 132
10 5 mm23.3.3.3.4(3).4(3).12.12.12.125 7 11 14 26 46 54 72 92 132
11 5 mm23.3.3.3.4(3).4(3).12.12.12.125 7 11 14 26 46 54 72 92 132
12 5 mm23.3.3.3.4(3).4(3).12.12.12.125 7 11 14 26 46 54 72 92 132
13 5 mm23.3.3.3.4(3).4(3).12.12.12.125 7 11 14 26 46 54 72 92 132
14 5 mm23.3.3.3.4(3).4(3).12.12.12.125 7 11 14 26 46 54 72 92 132
15 5 mm23.3.3.3.4(3).4(3).12.12.12.125 7 11 14 26 46 54 72 92 132
16 5 mm23.3.3.3.4(3).4(3).12.12.12.125 7 11 14 26 46 54 72 92 132
17 5 mm23.3.3.3.4(3).4(3).12.12.12.125 7 11 14 26 46 54 72 92 132
18 5 mm23.3.3.3.4(3).4(3).12.12.12.125 7 11 14 26 46 54 72 92 132
19 5 mm23.3.3.3.4(3).4(3).12.12.12.125 7 11 14 26 46 54 72 92 132
20 5 mm23.3.3.3.4(3).4(3).12.12.12.125 7 11 14 26 46 54 72 92 132
21 5 mm23.3.3.3.4(3).4(3).12.12.12.125 7 11 14 26 46 54 72 92 132
22 5 mm23.3.3.3.4(3).4(3).12.12.12.125 7 11 14 26 46 54 72 92 132
23 5 mm23.3.3.3.4(3).4(3).12.12.12.125 7 11 14 26 46 54 72 92 132
24 5 mm23.3.3.3.4(3).4(3).12.12.12.125 7 11 14 26 46 54 72 92 132
25 5 mm23.3.3.3.4(3).4(3).12.12.12.125 7 11 14 26 46 54 72 92 132
26 5 mm23.3.3.3.4(3).4(3).12.12.12.125 7 11 14 26 46 54 72 92 132
27 5 mm23.3.3.3.4(3).4(3).12.12.12.125 7 11 14 26 46 54 72 92 132
28 5 mm23.3.3.3.4(3).4(3).12.12.12.125 7 11 14 26 46 54 72 92 132
29 5 mm23.3.3.3.4(3).4(3).12.12.12.125 7 11 14 26 46 54 72 92 132
30 5 mm23.3.3.3.4(3).4(3).12.12.12.125 7 11 14 26 46 54 72 92 132
31 5 mm23.3.3.3.4(3).4(3).12.12.12.125 7 11 14 26 46 54 72 92 132
32 5 mm23.3.3.3.4(3).4(3).12.12.12.125 7 11 14 26 46 54 72 92 132
33 5 mm23.3.3.3.4(3).4(3).12.12.12.125 7 11 14 26 46 54 72 92 132
34 5 mm23.3.3.3.4(3).4(3).12.12.12.125 7 11 14 26 46 54 72 92 132
35 5 mm23.3.3.3.4(3).4(3).12.12.12.125 7 11 14 26 46 54 72 92 132
36 5 mm23.3.3.3.4(3).4(3).12.12.12.125 7 11 14 26 46 54 72 92 132
37 5 mm23.3.3.3.4(3).4(3).12.12.12.125 7 11 14 26 46 54 72 92 132
38 5 mm23.3.3.3.4(3).4(3).12.12.12.125 7 11 14 26 46 54 72 92 132
39 5 mm23.3.3.3.4(3).4(3).12.12.12.125 7 11 14 26 46 54 72 92 132
40 5 mm23.3.3.3.4(3).4(3).12.12.12.125 7 11 14 26 46 54 72 92 132
41 5 mm23.3.3.3.4(3).4(3).12.12.12.125 7 11 14 26 46 54 72 92 132
42 5 mm23.3.3.3.4(3).4(3).12.12.12.125 7 11 14 26 46 54 72 92 132
43 5 mm23.3.3.3.4(3).4(3).12.12.12.125 7 11 14 26 46 54 72 92 132
44 5 mm23.3.3.3.4(3).4(3).12.12.12.125 7 11 14 26 46 54 72 92 132
45 5 mm23.3.3.3.4(3).4(3).12.12.12.125 7 11 14 26 46 54 72 92 132
46 5 mm23.3.3.3.4(3).4(3).12.12.12.125 7 11 14 26 46 54 72 92 132
47 5 mm23.3.3.3.4(3).4(3).12.12.12.125 7 11 14 26 46 54 72 92 132
48 3 mm23.12(2).12(2)3 6 9 17 24 32 52 72 98 118
49 3 mm23.12(2).12(2)3 6 9 17 24 32 52 72 98 118
50 3 mm23.12(2).12(2)3 6 9 17 24 32 52 72 98 118
51 3 mm23.12(2).12(2)3 6 9 17 24 32 52 72 98 118
52 3 mm23.12(2).12(2)3 6 9 17 24 32 52 72 98 118
53 3 mm23.12(2).12(2)3 6 9 17 24 32 52 72 98 118
54 3 mm23.12(2).12(2)3 6 9 17 24 32 52 72 98 118
55 3 mm23.12(2).12(2)3 6 9 17 24 32 52 72 98 118
56 3 mm23.12(2).12(2)3 6 9 17 24 32 52 72 98 118
57 3 mm23.12(2).12(2)3 6 9 17 24 32 52 72 98 118
58 3 mm23.12(2).12(2)3 6 9 17 24 32 52 72 98 118
59 3 mm23.12(2).12(2)3 6 9 17 24 32 52 72 98 118
60 3 mm23.12(2).12(2)3 6 9 17 24 32 52 72 98 118
61 3 mm23.12(2).12(2)3 6 9 17 24 32 52 72 98 118
62 3 mm23.12(2).12(2)3 6 9 17 24 32 52 72 98 118
63 3 mm23.12(2).12(2)3 6 9 17 24 32 52 72 98 118
64 3 mm23.12(2).12(2)3 6 9 17 24 32 52 72 98 118
65 3 mm23.12(2).12(2)3 6 9 17 24 32 52 72 98 118
66 3 mm23.12(2).12(2)3 6 9 17 24 32 52 72 98 118
67 3 mm23.12(2).12(2)3 6 9 17 24 32 52 72 98 118
68 3 mm23.12(2).12(2)3 6 9 17 24 32 52 72 98 118
69 3 mm23.12(2).12(2)3 6 9 17 24 32 52 72 98 118
70 3 mm23.12(2).12(2)3 6 9 17 24 32 52 72 98 118
71 3 mm23.12(2).12(2)3 6 9 17 24 32 52 72 98 118
72 3 mm23.12(2).12(2)3 6 9 17 24 32 52 72 98 118
73 3 mm23.12(2).12(2)3 6 9 17 24 32 52 72 98 118
74 3 mm23.12(2).12(2)3 6 9 17 24 32 52 72 98 118
75 3 mm23.12(2).12(2)3 6 9 17 24 32 52 72 98 118
76 3 mm23.12(2).12(2)3 6 9 17 24 32 52 72 98 118
77 3 mm23.12(2).12(2)3 6 9 17 24 32 52 72 98 118
78 3 mm23.12(2).12(2)3 6 9 17 24 32 52 72 98 118
79 3 mm23.12(2).12(2)3 6 9 17 24 32 52 72 98 118
80 3 mm23.12(2).12(2)3 6 9 17 24 32 52 72 98 118
81 3 mm23.12(2).12(2)3 6 9 17 24 32 52 72 98 118
82 3 mm23.12(2).12(2)3 6 9 17 24 32 52 72 98 118
83 3 mm23.12(2).12(2)3 6 9 17 24 32 52 72 98 118
84 3 mm23.12(2).12(2)3 6 9 17 24 32 52 72 98 118
85 3 mm23.12(2).12(2)3 6 9 17 24 32 52 72 98 118
86 3 mm23.12(2).12(2)3 6 9 17 24 32 52 72 98 118
87 3 mm23.12(2).12(2)3 6 9 17 24 32 52 72 98 118
88 3 mm23.12(2).12(2)3 6 9 17 24 32 52 72 98 118
89 3 mm23.12(2).12(2)3 6 9 17 24 32 52 72 98 118
90 3 mm23.12(2).12(2)3 6 9 17 24 32 52 72 98 118
91 3 mm23.12(2).12(2)3 6 9 17 24 32 52 72 98 118
92 3 mm23.12(2).12(2)3 6 9 17 24 32 52 72 98 118
93 3 mm23.12(2).12(2)3 6 9 17 24 32 52 72 98 118
94 3 mm23.12(2).12(2)3 6 9 17 24 32 52 72 98 118
95 3 mm23.12(2).12(2)3 6 9 17 24 32 52 72 98 118
96 3 m3.12(2).12(2)3 4 10 16 25 33 48 78 93 106
97 3 m3.12(2).12(2)3 4 10 16 25 33 48 78 93 106
98 3 m3.12(2).12(2)3 4 10 16 25 33 48 78 93 106
99 3 m3.12(2).12(2)3 4 10 16 25 33 48 78 93 106
100 3 m3.12(2).12(2)3 4 10 16 25 33 48 78 93 106
101 3 m3.12(2).12(2)3 4 10 16 25 33 48 78 93 106
102 3 m3.12(2).12(2)3 4 10 16 25 33 48 78 93 106
103 3 m3.12(2).12(2)3 4 10 16 25 33 48 78 93 106
104 3 m3.12(2).12(2)3 4 10 16 25 33 48 78 93 106
105 3 m3.12(2).12(2)3 4 10 16 25 33 48 78 93 106
106 3 m3.12(2).12(2)3 4 10 16 25 33 48 78 93 106
107 3 m3.12(2).12(2)3 4 10 16 25 33 48 78 93 106
108 3 m3.12(2).12(2)3 4 10 16 25 33 48 78 93 106
109 3 m3.12(2).12(2)3 4 10 16 25 33 48 78 93 106
110 3 m3.12(2).12(2)3 4 10 16 25 33 48 78 93 106
111 3 m3.12(2).12(2)3 4 10 16 25 33 48 78 93 106
112 3 m3.12(2).12(2)3 4 10 16 25 33 48 78 93 106
113 3 m3.12(2).12(2)3 4 10 16 25 33 48 78 93 106
114 3 m3.12(2).12(2)3 4 10 16 25 33 48 78 93 106
115 3 m3.12(2).12(2)3 4 10 16 25 33 48 78 93 106
116 3 m3.12(2).12(2)3 4 10 16 25 33 48 78 93 106
117 3 m3.12(2).12(2)3 4 10 16 25 33 48 78 93 106
118 3 m3.12(2).12(2)3 4 10 16 25 33 48 78 93 106
119 3 m3.12(2).12(2)3 4 10 16 25 33 48 78 93 106
120 3 m3.12(2).12(2)3 4 10 16 25 33 48 78 93 106
121 3 m3.12(2).12(2)3 4 10 16 25 33 48 78 93 106
122 3 m3.12(2).12(2)3 4 10 16 25 33 48 78 93 106
123 3 m3.12(2).12(2)3 4 10 16 25 33 48 78 93 106
124 3 m3.12(2).12(2)3 4 10 16 25 33 48 78 93 106
125 3 m3.12(2).12(2)3 4 10 16 25 33 48 78 93 106
126 3 m3.12(2).12(2)3 4 10 16 25 33 48 78 93 106
127 3 m3.12(2).12(2)3 4 10 16 25 33 48 78 93 106
128 3 m3.12(2).12(2)3 4 10 16 25 33 48 78 93 106
129 3 m3.12(2).12(2)3 4 10 16 25 33 48 78 93 106
130 3 m3.12(2).12(2)3 4 10 16 25 33 48 78 93 106
131 3 m3.12(2).12(2)3 4 10 16 25 33 48 78 93 106
132 3 m3.12(2).12(2)3 4 10 16 25 33 48 78 93 106
133 3 m3.12(2).12(2)3 4 10 16 25 33 48 78 93 106
134 3 m3.12(2).12(2)3 4 10 16 25 33 48 78 93 106
135 3 m3.12(2).12(2)3 4 10 16 25 33 48 78 93 106
136 3 m3.12(2).12(2)3 4 10 16 25 33 48 78 93 106
137 3 m3.12(2).12(2)3 4 10 16 25 33 48 78 93 106
138 3 m3.12(2).12(2)3 4 10 16 25 33 48 78 93 106
139 3 m3.12(2).12(2)3 4 10 16 25 33 48 78 93 106
140 3 m3.12(2).12(2)3 4 10 16 25 33 48 78 93 106
141 3 m3.12(2).12(2)3 4 10 16 25 33 48 78 93 106
142 3 m3.12(2).12(2)3 4 10 16 25 33 48 78 93 106
143 3 m3.12(2).12(2)3 4 10 16 25 33 48 78 93 106
144 3 m3.12(2).12(2)3 4 10 16 25 33 48 78 93 106
145 3 m3.12(2).12(2)3 4 10 16 25 33 48 78 93 106
146 3 m3.12(2).12(2)3 4 10 16 25 33 48 78 93 106
147 3 m3.12(2).12(2)3 4 10 16 25 33 48 78 93 106
148 3 m3.12(2).12(2)3 4 10 16 25 33 48 78 93 106
149 3 m3.12(2).12(2)3 4 10 16 25 33 48 78 93 106
150 3 m3.12(2).12(2)3 4 10 16 25 33 48 78 93 106
151 3 m3.12(2).12(2)3 4 10 16 25 33 48 78 93 106
152 3 m3.12(2).12(2)3 4 10 16 25 33 48 78 93 106
153 3 m3.12(2).12(2)3 4 10 16 25 33 48 78 93 106
154 3 m3.12(2).12(2)3 4 10 16 25 33 48 78 93 106
155 3 m3.12(2).12(2)3 4 10 16 25 33 48 78 93 106
156 3 m3.12(2).12(2)3 4 10 16 25 33 48 78 93 106
157 3 m3.12(2).12(2)3 4 10 16 25 33 48 78 93 106
158 3 m3.12(2).12(2)3 4 10 16 25 33 48 78 93 106
159 3 m3.12(2).12(2)3 4 10 16 25 33 48 78 93 106
160 3 m3.12(2).12(2)3 4 10 16 25 33 48 78 93 106
161 3 m3.12(2).12(2)3 4 10 16 25 33 48 78 93 106
162 3 m3.12(2).12(2)3 4 10 16 25 33 48 78 93 106
163 3 m3.12(2).12(2)3 4 10 16 25 33 48 78 93 106
164 3 m3.12(2).12(2)3 4 10 16 25 33 48 78 93 106
165 3 m3.12(2).12(2)3 4 10 16 25 33 48 78 93 106
166 3 m3.12(2).12(2)3 4 10 16 25 33 48 78 93 106
167 3 m3.12(2).12(2)3 4 10 16 25 33 48 78 93 106
168 3 m3.12(2).12(2)3 4 10 16 25 33 48 78 93 106
169 3 m3.12(2).12(2)3 4 10 16 25 33 48 78 93 106
170 3 m3.12(2).12(2)3 4 10 16 25 33 48 78 93 106
171 3 m3.12(2).12(2)3 4 10 16 25 33 48 78 93 106
172 3 m3.12(2).12(2)3 4 10 16 25 33 48 78 93 106
173 3 m3.12(2).12(2)3 4 10 16 25 33 48 78 93 106
174 3 m3.12(2).12(2)3 4 10 16 25 33 48 78 93 106
175 3 m3.12(2).12(2)3 4 10 16 25 33 48 78 93 106
176 3 m3.12(2).12(2)3 4 10 16 25 33 48 78 93 106
177 3 m3.12(2).12(2)3 4 10 16 25 33 48 78 93 106
178 3 m3.12(2).12(2)3 4 10 16 25 33 48 78 93 106
179 3 m3.12(2).12(2)3 4 10 16 25 33 48 78 93 106
180 3 m3.12(2).12(2)3 4 10 16 25 33 48 78 93 106
181 3 m3.12(2).12(2)3 4 10 16 25 33 48 78 93 106
182 3 m3.12(2).12(2)3 4 10 16 25 33 48 78 93 106
183 3 m3.12(2).12(2)3 4 10 16 25 33 48 78 93 106
184 3 m3.12(2).12(2)3 4 10 16 25 33 48 78 93 106
185 3 m3.12(2).12(2)3 4 10 16 25 33 48 78 93 106
186 3 m3.12(2).12(2)3 4 10 16 25 33 48 78 93 106
187 3 m3.12(2).12(2)3 4 10 16 25 33 48 78 93 106
188 3 m3.12(2).12(2)3 4 10 16 25 33 48 78 93 106
189 3 m3.12(2).12(2)3 4 10 16 25 33 48 78 93 106
190 3 m3.12(2).12(2)3 4 10 16 25 33 48 78 93 106
191 3 m3.12(2).12(2)3 4 10 16 25 33 48 78 93 106
192 3 m6.12(2).12(2)3 6 9 15 27 44 59 64 78 115
193 3 m6.12(2).12(2)3 6 9 15 27 44 59 64 78 115
194 3 m6.12(2).12(2)3 6 9 15 27 44 59 64 78 115
195 3 m6.12(2).12(2)3 6 9 15 27 44 59 64 78 115
196 3 m6.12(2).12(2)3 6 9 15 27 44 59 64 78 115
197 3 m6.12(2).12(2)3 6 9 15 27 44 59 64 78 115
198 3 m6.12(2).12(2)3 6 9 15 27 44 59 64 78 115
199 3 m6.12(2).12(2)3 6 9 15 27 44 59 64 78 115
200 3 m6.12(2).12(2)3 6 9 15 27 44 59 64 78 115
201 3 m6.12(2).12(2)3 6 9 15 27 44 59 64 78 115
202 3 m6.12(2).12(2)3 6 9 15 27 44 59 64 78 115
203 3 m6.12(2).12(2)3 6 9 15 27 44 59 64 78 115
204 3 m6.12(2).12(2)3 6 9 15 27 44 59 64 78 115
205 3 m6.12(2).12(2)3 6 9 15 27 44 59 64 78 115
206 3 m6.12(2).12(2)3 6 9 15 27 44 59 64 78 115
207 3 m6.12(2).12(2)3 6 9 15 27 44 59 64 78 115
208 3 m6.12(2).12(2)3 6 9 15 27 44 59 64 78 115
209 3 m6.12(2).12(2)3 6 9 15 27 44 59 64 78 115
210 3 m6.12(2).12(2)3 6 9 15 27 44 59 64 78 115
211 3 m6.12(2).12(2)3 6 9 15 27 44 59 64 78 115
212 3 m6.12(2).12(2)3 6 9 15 27 44 59 64 78 115
213 3 m6.12(2).12(2)3 6 9 15 27 44 59 64 78 115
214 3 m6.12(2).12(2)3 6 9 15 27 44 59 64 78 115
215 3 m6.12(2).12(2)3 6 9 15 27 44 59 64 78 115
216 3 m6.12(2).12(2)3 6 9 15 27 44 59 64 78 115
217 3 m6.12(2).12(2)3 6 9 15 27 44 59 64 78 115
218 3 m6.12(2).12(2)3 6 9 15 27 44 59 64 78 115
219 3 m6.12(2).12(2)3 6 9 15 27 44 59 64 78 115
220 3 m6.12(2).12(2)3 6 9 15 27 44 59 64 78 115
221 3 m6.12(2).12(2)3 6 9 15 27 44 59 64 78 115
222 3 m6.12(2).12(2)3 6 9 15 27 44 59 64 78 115
223 3 m6.12(2).12(2)3 6 9 15 27 44 59 64 78 115
224 3 m6.12(2).12(2)3 6 9 15 27 44 59 64 78 115
225 3 m6.12(2).12(2)3 6 9 15 27 44 59 64 78 115
226 3 m6.12(2).12(2)3 6 9 15 27 44 59 64 78 115
227 3 m6.12(2).12(2)3 6 9 15 27 44 59 64 78 115
228 3 m6.12(2).12(2)3 6 9 15 27 44 59 64 78 115
229 3 m6.12(2).12(2)3 6 9 15 27 44 59 64 78 115
230 3 m6.12(2).12(2)3 6 9 15 27 44 59 64 78 115
231 3 m6.12(2).12(2)3 6 9 15 27 44 59 64 78 115
232 3 m6.12(2).12(2)3 6 9 15 27 44 59 64 78 115
233 3 m6.12(2).12(2)3 6 9 15 27 44 59 64 78 115
234 3 m6.12(2).12(2)3 6 9 15 27 44 59 64 78 115
235 3 m6.12(2).12(2)3 6 9 15 27 44 59 64 78 115
236 3 m6.12(2).12(2)3 6 9 15 27 44 59 64 78 115
237 3 m6.12(2).12(2)3 6 9 15 27 44 59 64 78 115
238 3 m6.12(2).12(2)3 6 9 15 27 44 59 64 78 115
239 3 m6.12(2).12(2)3 6 9 15 27 44 59 64 78 115
240 3 m6.12(2).12(2)3 6 9 15 27 44 59 64 78 115
241 3 m6.12(2).12(2)3 6 9 15 27 44 59 64 78 115
242 3 m6.12(2).12(2)3 6 9 15 27 44 59 64 78 115
243 3 m6.12(2).12(2)3 6 9 15 27 44 59 64 78 115
244 3 m6.12(2).12(2)3 6 9 15 27 44 59 64 78 115
245 3 m6.12(2).12(2)3 6 9 15 27 44 59 64 78 115
246 3 m6.12(2).12(2)3 6 9 15 27 44 59 64 78 115
247 3 m6.12(2).12(2)3 6 9 15 27 44 59 64 78 115
248 3 m6.12(2).12(2)3 6 9 15 27 44 59 64 78 115
249 3 m6.12(2).12(2)3 6 9 15 27 44 59 64 78 115
250 3 m6.12(2).12(2)3 6 9 15 27 44 59 64 78 115
251 3 m6.12(2).12(2)3 6 9 15 27 44 59 64 78 115
252 3 m6.12(2).12(2)3 6 9 15 27 44 59 64 78 115
253 3 m6.12(2).12(2)3 6 9 15 27 44 59 64 78 115
254 3 m6.12(2).12(2)3 6 9 15 27 44 59 64 78 115
255 3 m6.12(2).12(2)3 6 9 15 27 44 59 64 78 115
256 3 m6.12(2).12(2)3 6 9 15 27 44 59 64 78 115
257 3 m6.12(2).12(2)3 6 9 15 27 44 59 64 78 115
258 3 m6.12(2).12(2)3 6 9 15 27 44 59 64 78 115
259 3 m6.12(2).12(2)3 6 9 15 27 44 59 64 78 115
260 3 m6.12(2).12(2)3 6 9 15 27 44 59 64 78 115
261 3 m6.12(2).12(2)3 6 9 15 27 44 59 64 78 115
262 3 m6.12(2).12(2)3 6 9 15 27 44 59 64 78 115
263 3 m6.12(2).12(2)3 6 9 15 27 44 59 64 78 115
264 3 m6.12(2).12(2)3 6 9 15 27 44 59 64 78 115
265 3 m6.12(2).12(2)3 6 9 15 27 44 59 64 78 115
266 3 m6.12(2).12(2)3 6 9 15 27 44 59 64 78 115
267 3 m6.12(2).12(2)3 6 9 15 27 44 59 64 78 115
268 3 m6.12(2).12(2)3 6 9 15 27 44 59 64 78 115
269 3 m6.12(2).12(2)3 6 9 15 27 44 59 64 78 115
270 3 m6.12(2).12(2)3 6 9 15 27 44 59 64 78 115
271 3 m6.12(2).12(2)3 6 9 15 27 44 59 64 78 115
272 3 m6.12(2).12(2)3 6 9 15 27 44 59 64 78 115
273 3 m6.12(2).12(2)3 6 9 15 27 44 59 64 78 115
274 3 m6.12(2).12(2)3 6 9 15 27 44 59 64 78 115
275 3 m6.12(2).12(2)3 6 9 15 27 44 59 64 78 115
276 3 m6.12(2).12(2)3 6 9 15 27 44 59 64 78 115
277 3 m6.12(2).12(2)3 6 9 15 27 44 59 64 78 115
278 3 m6.12(2).12(2)3 6 9 15 27 44 59 64 78 115
279 3 m6.12(2).12(2)3 6 9 15 27 44 59 64 78 115
280 3 m6.12(2).12(2)3 6 9 15 27 44 59 64 78 115
281 3 m6.12(2).12(2)3 6 9 15 27 44 59 64 78 115
282 3 m6.12(2).12(2)3 6 9 15 27 44 59 64 78 115
283 3 m6.12(2).12(2)3 6 9 15 27 44 59 64 78 115
284 3 m6.12(2).12(2)3 6 9 15 27 44 59 64 78 115
285 3 m6.12(2).12(2)3 6 9 15 27 44 59 64 78 115
286 3 m6.12(2).12(2)3 6 9 15 27 44 59 64 78 115
287 3 m6.12(2).12(2)3 6 9 15 27 44 59 64 78 115

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, 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)
4
RCSR identification (mofplus-deposit)
mgd-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 7 14 0 0 0 7 15 0 0 0 8 16 0 0 0 9 17 0 0 0 9 18 0 0 0 10 19 0 0 0 10 20 0 0 0 11 21 0 0 0 11 22 0 0 0 12 13 0 0 0 12 23 0 0 0 13 24 0 0 0 14 15 0 0 0 14 25 0 0 0 15 26 0 0 0 16 27 0 0 0 16 28 0 0 0 17 18 0 0 0 17 29 0 0 0 18 30 0 0 0 19 20 0 0 0 19 31 0 0 0 20 32 0 0 0 21 22 0 0 0 21 33 0 0 0 22 34 0 0 0 23 35 0 0 0 23 36 0 0 0 24 37 0 0 0 24 38 0 0 0 25 38 1 0 0 25 39 0 0 0 26 40 0 0 0 26 41 0 0 0 27 28 0 0 0 27 42 0 0 0 28 43 0 0 0 29 36 0 1 0 29 44 0 0 0 30 41 -1 1 0 30 45 0 0 0 31 46 0 0 0 31 47 0 0 0 32 37 0 0 1 32 39 -1 0 1 33 46 -1 1 0 33 48 0 0 0 34 35 -1 1 1 34 44 -1 0 1 35 49 0 0 0 36 50 0 0 0 37 51 0 0 0 38 52 0 0 0 39 53 0 0 0 40 43 1 -1 -1 40 54 0 0 0 41 55 0 0 0 42 47 0 1 0 42 48 1 0 0 43 45 0 0 1 44 56 0 0 0 45 57 0 0 0 46 58 0 0 0 47 59 0 0 0 48 60 0 0 0 49 54 0 0 0 49 61 0 0 0 50 59 0 0 0 50 62 0 0 0 51 57 0 0 0 51 63 0 0 0 52 60 0 0 0 52 64 0 0 0 53 56 0 0 0 53 65 0 0 0 54 61 0 0 0 55 58 0 0 0 55 66 0 0 0 56 65 0 0 0 57 63 0 0 0 58 66 0 0 0 59 62 0 0 0 60 64 0 0 0 61 67 0 0 0 62 68 0 0 0 63 69 0 0 0 64 70 0 0 0 65 71 0 0 0 66 72 0 0 0 67 68 1 0 -1 67 69 0 0 0 67 71 0 0 0 67 72 0 0 -1 68 70 0 0 0 68 71 -1 0 1 68 72 -1 0 0 69 70 1 0 -1 69 71 0 0 0 69 72 0 0 -1 70 71 -1 0 1 70 72 -1 0 0
Key against the archive (mofplus-deposit)
the same key, character for character
TD10 as Systre prints it (mofplus-deposit)
428
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)
428.0
Genus (mofplus-deposit)
49
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)
428.0
Genus (rcsr-archive-key)
49
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)
(3.12^2)3(6.12^2)2(3^4.4^2.12^4)
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, 473.3.3.3.4(3).4(3).12.12.12.12 3.3.3.3.4.4.12.12.12.12 3^4.4^2.12^4 5 7 11 14 26 46 54 72 92 132
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, 953.12(2).12(2) 3.12(2).12(2) 3.12^2 3 6 9 17 24 32 52 72 98 118
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, 1913.12(2).12(2) 3.12(2).12(2) 3.12^2 3 4 10 16 25 33 48 78 93 106
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, 2876.12(2).12(2) 6.12(2).12(2) 6.12^2 3 6 9 15 27 44 59 64 78 115

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

Net point symbol (rcsr-archive-key)
(3.12^2)3(6.12^2)2(3^4.4^2.12^4)
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, 66, 67, 68, 69, 70, 713.3.3.3.4(3).4(3).12.12.12.12 3.3.3.3.4.4.12.12.12.12 3^4.4^2.12^4 5 7 11 14 26 46 54 72 92 132
5, 6, 8, 9, 10, 15, 60, 61, 62, 63, 64, 653.12(2).12(2) 3.12(2).12(2) 3.12^2 3 6 9 17 24 32 52 72 98 118
11, 12, 13, 14, 16, 17, 18, 19, 20, 21, 26, 27, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 593.12(2).12(2) 3.12(2).12(2) 3.12^2 3 4 10 16 25 33 48 78 93 106
22, 23, 24, 25, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 476.12(2).12(2) 6.12(2).12(2) 6.12^2 3 6 9 15 27 44 59 64 78 115

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
mgd-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
1283 (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
2382 The order the ingest processed this net in, simplest first. A different number from the RCSR index above, meaning a different thing.