Net topology

xbu-a

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

JSON · mfpx

240 vertices and 456 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
Fm-3m (No. 225)
Cell lengths
a = 9.6571 Å, b = 9.6571 Å, c = 9.6571 Å
Cell angles
α = 90.00°, β = 90.00°, γ = 90.00°
Atoms in cell
240
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 3 5 0 0 0 3 8 0 0 0 4 5 0 0 0 4 9 0 0 0 5 10 0 0 0 6 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 8 17 0 0 0 8 18 0 0 0 9 19 0 0 0 9 20 0 0 0 10 21 0 0 0 10 22 0 0 0 11 12 0 0 0 11 13 0 0 0 11 23 0 0 0 11 24 0 0 0 12 14 0 0 0 12 24 0 0 0 12 25 0 0 0 13 14 0 0 0 13 24 0 0 0 13 26 0 0 0 14 24 0 0 0 14 27 0 0 0 15 28 0 0 0 15 29 0 0 0 16 29 0 0 0 16 30 0 0 0 17 31 0 0 0 17 32 0 0 0 18 32 0 0 0 18 33 0 0 0 19 34 0 0 0 19 35 0 0 0 20 35 0 0 0 20 36 0 0 0 21 37 0 0 0 21 38 0 0 0 22 38 0 0 0 22 39 0 0 0 23 30 0 0 0 23 37 1 0 0 23 40 0 0 0 23 41 0 0 0 24 42 0 0 0 25 33 0 0 0 25 34 0 1 0 25 43 0 0 0 25 44 0 0 0 26 31 0 0 1 26 36 0 0 0 26 45 0 0 0 26 46 0 0 0 27 28 -1 1 1 27 39 0 0 0 27 47 0 0 0 27 48 0 0 0 28 47 1 -1 -1 28 48 1 -1 -1 29 49 0 0 0 30 40 0 0 0 30 41 0 0 0 31 45 0 0 -1 31 46 0 0 -1 32 50 0 0 0 33 43 0 0 0 33 44 0 0 0 34 43 0 -1 0 34 44 0 -1 0 35 51 0 0 0 36 45 0 0 0 36 46 0 0 0 37 40 -1 0 0 37 41 -1 0 0 38 52 0 0 0 39 47 0 0 0 39 48 0 0 0 40 53 0 0 0 41 54 0 0 0 42 49 -1 1 1 42 50 0 0 1 42 51 0 1 0 42 52 1 0 0 43 55 0 0 0 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 50 1 -1 0 49 51 1 0 -1 50 52 1 0 -1 51 52 1 -1 0 53 55 0 0 0 53 58 1 0 -1 54 56 1 -1 0 54 57 0 0 0 55 60 1 0 -1 56 59 0 0 0 57 59 1 -1 0 58 60 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
8629b7ccb15d7c4131459edb5040eb88 (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: 240 of 240 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. 240 of 240 vertex rows carry one, attributed to computed:mofpp.site_symmetry-v1 (spglib-2.7.0, mofplus-deposit). The site symmetry on each vertex row is the point group of the operations of the net's ideal space group that leave that vertex where it is — its Wyckoff position in the net's maximum-symmetry embedding. It is a property of the net, not of any material built on it, and it is what says whether a four-coordinated vertex is tetrahedral (-43m) or square-planar (4/mmm) — a distinction the coordination number cannot make. Computed in Fm-3m, setting the conventional one, by mofpp.site_symmetry v1 with spglib 2.7.0, from the embedding Systre 19.6.0 computed on the mofplus-deposit. spglib determined the same space group from those coordinates independently, which is a check of two different computations against each other rather than a restatement.

One row per distinct vertex. The coordination sequence counts how many vertices lie at each topological distance; the vertex symbol names the shortest ring at each angle of the vertex; the site symmetry is the vertex's Wyckoff position in the net's maximum-symmetry embedding. The three columns do not carry the same warrant: which of them was corroborated, which was not, and which was computed here, is stated above the table.
# Coordination Site symmetry Vertex symbol Coordination sequence
0 5 4mm3.3.3.3.4(2).4(2).8.8.8.85 8 13 25 32 44 56 92 120 137
1 5 4mm3.3.3.3.4(2).4(2).8.8.8.85 8 13 25 32 44 56 92 120 137
2 5 4mm3.3.3.3.4(2).4(2).8.8.8.85 8 13 25 32 44 56 92 120 137
3 5 4mm3.3.3.3.4(2).4(2).8.8.8.85 8 13 25 32 44 56 92 120 137
4 5 4mm3.3.3.3.4(2).4(2).8.8.8.85 8 13 25 32 44 56 92 120 137
5 5 4mm3.3.3.3.4(2).4(2).8.8.8.85 8 13 25 32 44 56 92 120 137
6 5 4mm3.3.3.3.4(2).4(2).8.8.8.85 8 13 25 32 44 56 92 120 137
7 5 4mm3.3.3.3.4(2).4(2).8.8.8.85 8 13 25 32 44 56 92 120 137
8 5 4mm3.3.3.3.4(2).4(2).8.8.8.85 8 13 25 32 44 56 92 120 137
9 5 4mm3.3.3.3.4(2).4(2).8.8.8.85 8 13 25 32 44 56 92 120 137
10 5 4mm3.3.3.3.4(2).4(2).8.8.8.85 8 13 25 32 44 56 92 120 137
11 5 4mm3.3.3.3.4(2).4(2).8.8.8.85 8 13 25 32 44 56 92 120 137
12 5 4mm3.3.3.3.4(2).4(2).8.8.8.85 8 13 25 32 44 56 92 120 137
13 5 4mm3.3.3.3.4(2).4(2).8.8.8.85 8 13 25 32 44 56 92 120 137
14 5 4mm3.3.3.3.4(2).4(2).8.8.8.85 8 13 25 32 44 56 92 120 137
15 5 4mm3.3.3.3.4(2).4(2).8.8.8.85 8 13 25 32 44 56 92 120 137
16 5 4mm3.3.3.3.4(2).4(2).8.8.8.85 8 13 25 32 44 56 92 120 137
17 5 4mm3.3.3.3.4(2).4(2).8.8.8.85 8 13 25 32 44 56 92 120 137
18 5 4mm3.3.3.3.4(2).4(2).8.8.8.85 8 13 25 32 44 56 92 120 137
19 5 4mm3.3.3.3.4(2).4(2).8.8.8.85 8 13 25 32 44 56 92 120 137
20 5 4mm3.3.3.3.4(2).4(2).8.8.8.85 8 13 25 32 44 56 92 120 137
21 5 4mm3.3.3.3.4(2).4(2).8.8.8.85 8 13 25 32 44 56 92 120 137
22 5 4mm3.3.3.3.4(2).4(2).8.8.8.85 8 13 25 32 44 56 92 120 137
23 5 4mm3.3.3.3.4(2).4(2).8.8.8.85 8 13 25 32 44 56 92 120 137
24 5 4mm3.3.3.3.4(3).4(3).8.8.8.85 9 21 24 24 32 68 100 124 152
25 5 4mm3.3.3.3.4(3).4(3).8.8.8.85 9 21 24 24 32 68 100 124 152
26 5 4mm3.3.3.3.4(3).4(3).8.8.8.85 9 21 24 24 32 68 100 124 152
27 5 4mm3.3.3.3.4(3).4(3).8.8.8.85 9 21 24 24 32 68 100 124 152
28 5 4mm3.3.3.3.4(3).4(3).8.8.8.85 9 21 24 24 32 68 100 124 152
29 5 4mm3.3.3.3.4(3).4(3).8.8.8.85 9 21 24 24 32 68 100 124 152
30 5 4mm3.3.3.3.4(3).4(3).8.8.8.85 9 21 24 24 32 68 100 124 152
31 5 4mm3.3.3.3.4(3).4(3).8.8.8.85 9 21 24 24 32 68 100 124 152
32 5 4mm3.3.3.3.4(3).4(3).8.8.8.85 9 21 24 24 32 68 100 124 152
33 5 4mm3.3.3.3.4(3).4(3).8.8.8.85 9 21 24 24 32 68 100 124 152
34 5 4mm3.3.3.3.4(3).4(3).8.8.8.85 9 21 24 24 32 68 100 124 152
35 5 4mm3.3.3.3.4(3).4(3).8.8.8.85 9 21 24 24 32 68 100 124 152
36 5 4mm3.3.3.3.4(3).4(3).8.8.8.85 9 21 24 24 32 68 100 124 152
37 5 4mm3.3.3.3.4(3).4(3).8.8.8.85 9 21 24 24 32 68 100 124 152
38 5 4mm3.3.3.3.4(3).4(3).8.8.8.85 9 21 24 24 32 68 100 124 152
39 5 4mm3.3.3.3.4(3).4(3).8.8.8.85 9 21 24 24 32 68 100 124 152
40 5 4mm3.3.3.3.4(3).4(3).8.8.8.85 9 21 24 24 32 68 100 124 152
41 5 4mm3.3.3.3.4(3).4(3).8.8.8.85 9 21 24 24 32 68 100 124 152
42 5 4mm3.3.3.3.4(3).4(3).8.8.8.85 9 21 24 24 32 68 100 124 152
43 5 4mm3.3.3.3.4(3).4(3).8.8.8.85 9 21 24 24 32 68 100 124 152
44 5 4mm3.3.3.3.4(3).4(3).8.8.8.85 9 21 24 24 32 68 100 124 152
45 5 4mm3.3.3.3.4(3).4(3).8.8.8.85 9 21 24 24 32 68 100 124 152
46 5 4mm3.3.3.3.4(3).4(3).8.8.8.85 9 21 24 24 32 68 100 124 152
47 5 4mm3.3.3.3.4(3).4(3).8.8.8.85 9 21 24 24 32 68 100 124 152
48 4 m3.3.4(2).8.9.94 6 12 19 31 44 56 73 104 127
49 4 m3.3.4(2).8.9.94 6 12 19 31 44 56 73 104 127
50 4 m3.3.4(2).8.9.94 6 12 19 31 44 56 73 104 127
51 4 m3.3.4(2).8.9.94 6 12 19 31 44 56 73 104 127
52 4 m3.3.4(2).8.9.94 6 12 19 31 44 56 73 104 127
53 4 m3.3.4(2).8.9.94 6 12 19 31 44 56 73 104 127
54 4 m3.3.4(2).8.9.94 6 12 19 31 44 56 73 104 127
55 4 m3.3.4(2).8.9.94 6 12 19 31 44 56 73 104 127
56 4 m3.3.4(2).8.9.94 6 12 19 31 44 56 73 104 127
57 4 m3.3.4(2).8.9.94 6 12 19 31 44 56 73 104 127
58 4 m3.3.4(2).8.9.94 6 12 19 31 44 56 73 104 127
59 4 m3.3.4(2).8.9.94 6 12 19 31 44 56 73 104 127
60 4 m3.3.4(2).8.9.94 6 12 19 31 44 56 73 104 127
61 4 m3.3.4(2).8.9.94 6 12 19 31 44 56 73 104 127
62 4 m3.3.4(2).8.9.94 6 12 19 31 44 56 73 104 127
63 4 m3.3.4(2).8.9.94 6 12 19 31 44 56 73 104 127
64 4 m3.3.4(2).8.9.94 6 12 19 31 44 56 73 104 127
65 4 m3.3.4(2).8.9.94 6 12 19 31 44 56 73 104 127
66 4 m3.3.4(2).8.9.94 6 12 19 31 44 56 73 104 127
67 4 m3.3.4(2).8.9.94 6 12 19 31 44 56 73 104 127
68 4 m3.3.4(2).8.9.94 6 12 19 31 44 56 73 104 127
69 4 m3.3.4(2).8.9.94 6 12 19 31 44 56 73 104 127
70 4 m3.3.4(2).8.9.94 6 12 19 31 44 56 73 104 127
71 4 m3.3.4(2).8.9.94 6 12 19 31 44 56 73 104 127
72 4 m3.3.4(2).8.9.94 6 12 19 31 44 56 73 104 127
73 4 m3.3.4(2).8.9.94 6 12 19 31 44 56 73 104 127
74 4 m3.3.4(2).8.9.94 6 12 19 31 44 56 73 104 127
75 4 m3.3.4(2).8.9.94 6 12 19 31 44 56 73 104 127
76 4 m3.3.4(2).8.9.94 6 12 19 31 44 56 73 104 127
77 4 m3.3.4(2).8.9.94 6 12 19 31 44 56 73 104 127
78 4 m3.3.4(2).8.9.94 6 12 19 31 44 56 73 104 127
79 4 m3.3.4(2).8.9.94 6 12 19 31 44 56 73 104 127
80 4 m3.3.4(2).8.9.94 6 12 19 31 44 56 73 104 127
81 4 m3.3.4(2).8.9.94 6 12 19 31 44 56 73 104 127
82 4 m3.3.4(2).8.9.94 6 12 19 31 44 56 73 104 127
83 4 m3.3.4(2).8.9.94 6 12 19 31 44 56 73 104 127
84 4 m3.3.4(2).8.9.94 6 12 19 31 44 56 73 104 127
85 4 m3.3.4(2).8.9.94 6 12 19 31 44 56 73 104 127
86 4 m3.3.4(2).8.9.94 6 12 19 31 44 56 73 104 127
87 4 m3.3.4(2).8.9.94 6 12 19 31 44 56 73 104 127
88 4 m3.3.4(2).8.9.94 6 12 19 31 44 56 73 104 127
89 4 m3.3.4(2).8.9.94 6 12 19 31 44 56 73 104 127
90 4 m3.3.4(2).8.9.94 6 12 19 31 44 56 73 104 127
91 4 m3.3.4(2).8.9.94 6 12 19 31 44 56 73 104 127
92 4 m3.3.4(2).8.9.94 6 12 19 31 44 56 73 104 127
93 4 m3.3.4(2).8.9.94 6 12 19 31 44 56 73 104 127
94 4 m3.3.4(2).8.9.94 6 12 19 31 44 56 73 104 127
95 4 m3.3.4(2).8.9.94 6 12 19 31 44 56 73 104 127
96 4 m3.3.4(2).8.9.94 6 12 19 31 44 56 73 104 127
97 4 m3.3.4(2).8.9.94 6 12 19 31 44 56 73 104 127
98 4 m3.3.4(2).8.9.94 6 12 19 31 44 56 73 104 127
99 4 m3.3.4(2).8.9.94 6 12 19 31 44 56 73 104 127
100 4 m3.3.4(2).8.9.94 6 12 19 31 44 56 73 104 127
101 4 m3.3.4(2).8.9.94 6 12 19 31 44 56 73 104 127
102 4 m3.3.4(2).8.9.94 6 12 19 31 44 56 73 104 127
103 4 m3.3.4(2).8.9.94 6 12 19 31 44 56 73 104 127
104 4 m3.3.4(2).8.9.94 6 12 19 31 44 56 73 104 127
105 4 m3.3.4(2).8.9.94 6 12 19 31 44 56 73 104 127
106 4 m3.3.4(2).8.9.94 6 12 19 31 44 56 73 104 127
107 4 m3.3.4(2).8.9.94 6 12 19 31 44 56 73 104 127
108 4 m3.3.4(2).8.9.94 6 12 19 31 44 56 73 104 127
109 4 m3.3.4(2).8.9.94 6 12 19 31 44 56 73 104 127
110 4 m3.3.4(2).8.9.94 6 12 19 31 44 56 73 104 127
111 4 m3.3.4(2).8.9.94 6 12 19 31 44 56 73 104 127
112 4 m3.3.4(2).8.9.94 6 12 19 31 44 56 73 104 127
113 4 m3.3.4(2).8.9.94 6 12 19 31 44 56 73 104 127
114 4 m3.3.4(2).8.9.94 6 12 19 31 44 56 73 104 127
115 4 m3.3.4(2).8.9.94 6 12 19 31 44 56 73 104 127
116 4 m3.3.4(2).8.9.94 6 12 19 31 44 56 73 104 127
117 4 m3.3.4(2).8.9.94 6 12 19 31 44 56 73 104 127
118 4 m3.3.4(2).8.9.94 6 12 19 31 44 56 73 104 127
119 4 m3.3.4(2).8.9.94 6 12 19 31 44 56 73 104 127
120 4 m3.3.4(2).8.9.94 6 12 19 31 44 56 73 104 127
121 4 m3.3.4(2).8.9.94 6 12 19 31 44 56 73 104 127
122 4 m3.3.4(2).8.9.94 6 12 19 31 44 56 73 104 127
123 4 m3.3.4(2).8.9.94 6 12 19 31 44 56 73 104 127
124 4 m3.3.4(2).8.9.94 6 12 19 31 44 56 73 104 127
125 4 m3.3.4(2).8.9.94 6 12 19 31 44 56 73 104 127
126 4 m3.3.4(2).8.9.94 6 12 19 31 44 56 73 104 127
127 4 m3.3.4(2).8.9.94 6 12 19 31 44 56 73 104 127
128 4 m3.3.4(2).8.9.94 6 12 19 31 44 56 73 104 127
129 4 m3.3.4(2).8.9.94 6 12 19 31 44 56 73 104 127
130 4 m3.3.4(2).8.9.94 6 12 19 31 44 56 73 104 127
131 4 m3.3.4(2).8.9.94 6 12 19 31 44 56 73 104 127
132 4 m3.3.4(2).8.9.94 6 12 19 31 44 56 73 104 127
133 4 m3.3.4(2).8.9.94 6 12 19 31 44 56 73 104 127
134 4 m3.3.4(2).8.9.94 6 12 19 31 44 56 73 104 127
135 4 m3.3.4(2).8.9.94 6 12 19 31 44 56 73 104 127
136 4 m3.3.4(2).8.9.94 6 12 19 31 44 56 73 104 127
137 4 m3.3.4(2).8.9.94 6 12 19 31 44 56 73 104 127
138 4 m3.3.4(2).8.9.94 6 12 19 31 44 56 73 104 127
139 4 m3.3.4(2).8.9.94 6 12 19 31 44 56 73 104 127
140 4 m3.3.4(2).8.9.94 6 12 19 31 44 56 73 104 127
141 4 m3.3.4(2).8.9.94 6 12 19 31 44 56 73 104 127
142 4 m3.3.4(2).8.9.94 6 12 19 31 44 56 73 104 127
143 4 m3.3.4(2).8.9.94 6 12 19 31 44 56 73 104 127
144 3 m4.8.103 6 11 19 29 42 56 76 94 123
145 3 m4.8.103 6 11 19 29 42 56 76 94 123
146 3 m4.8.103 6 11 19 29 42 56 76 94 123
147 3 m4.8.103 6 11 19 29 42 56 76 94 123
148 3 m4.8.103 6 11 19 29 42 56 76 94 123
149 3 m4.8.103 6 11 19 29 42 56 76 94 123
150 3 m4.8.103 6 11 19 29 42 56 76 94 123
151 3 m4.8.103 6 11 19 29 42 56 76 94 123
152 3 m4.8.103 6 11 19 29 42 56 76 94 123
153 3 m4.8.103 6 11 19 29 42 56 76 94 123
154 3 m4.8.103 6 11 19 29 42 56 76 94 123
155 3 m4.8.103 6 11 19 29 42 56 76 94 123
156 3 m4.8.103 6 11 19 29 42 56 76 94 123
157 3 m4.8.103 6 11 19 29 42 56 76 94 123
158 3 m4.8.103 6 11 19 29 42 56 76 94 123
159 3 m4.8.103 6 11 19 29 42 56 76 94 123
160 3 m4.8.103 6 11 19 29 42 56 76 94 123
161 3 m4.8.103 6 11 19 29 42 56 76 94 123
162 3 m4.8.103 6 11 19 29 42 56 76 94 123
163 3 m4.8.103 6 11 19 29 42 56 76 94 123
164 3 m4.8.103 6 11 19 29 42 56 76 94 123
165 3 m4.8.103 6 11 19 29 42 56 76 94 123
166 3 m4.8.103 6 11 19 29 42 56 76 94 123
167 3 m4.8.103 6 11 19 29 42 56 76 94 123
168 3 m4.8.103 6 11 19 29 42 56 76 94 123
169 3 m4.8.103 6 11 19 29 42 56 76 94 123
170 3 m4.8.103 6 11 19 29 42 56 76 94 123
171 3 m4.8.103 6 11 19 29 42 56 76 94 123
172 3 m4.8.103 6 11 19 29 42 56 76 94 123
173 3 m4.8.103 6 11 19 29 42 56 76 94 123
174 3 m4.8.103 6 11 19 29 42 56 76 94 123
175 3 m4.8.103 6 11 19 29 42 56 76 94 123
176 3 m4.8.103 6 11 19 29 42 56 76 94 123
177 3 m4.8.103 6 11 19 29 42 56 76 94 123
178 3 m4.8.103 6 11 19 29 42 56 76 94 123
179 3 m4.8.103 6 11 19 29 42 56 76 94 123
180 3 m4.8.103 6 11 19 29 42 56 76 94 123
181 3 m4.8.103 6 11 19 29 42 56 76 94 123
182 3 m4.8.103 6 11 19 29 42 56 76 94 123
183 3 m4.8.103 6 11 19 29 42 56 76 94 123
184 3 m4.8.103 6 11 19 29 42 56 76 94 123
185 3 m4.8.103 6 11 19 29 42 56 76 94 123
186 3 m4.8.103 6 11 19 29 42 56 76 94 123
187 3 m4.8.103 6 11 19 29 42 56 76 94 123
188 3 m4.8.103 6 11 19 29 42 56 76 94 123
189 3 m4.8.103 6 11 19 29 42 56 76 94 123
190 3 m4.8.103 6 11 19 29 42 56 76 94 123
191 3 m4.8.103 6 11 19 29 42 56 76 94 123
192 3 m4.8.103 6 11 19 29 42 56 76 94 123
193 3 m4.8.103 6 11 19 29 42 56 76 94 123
194 3 m4.8.103 6 11 19 29 42 56 76 94 123
195 3 m4.8.103 6 11 19 29 42 56 76 94 123
196 3 m4.8.103 6 11 19 29 42 56 76 94 123
197 3 m4.8.103 6 11 19 29 42 56 76 94 123
198 3 m4.8.103 6 11 19 29 42 56 76 94 123
199 3 m4.8.103 6 11 19 29 42 56 76 94 123
200 3 m4.8.103 6 11 19 29 42 56 76 94 123
201 3 m4.8.103 6 11 19 29 42 56 76 94 123
202 3 m4.8.103 6 11 19 29 42 56 76 94 123
203 3 m4.8.103 6 11 19 29 42 56 76 94 123
204 3 m4.8.103 6 11 19 29 42 56 76 94 123
205 3 m4.8.103 6 11 19 29 42 56 76 94 123
206 3 m4.8.103 6 11 19 29 42 56 76 94 123
207 3 m4.8.103 6 11 19 29 42 56 76 94 123
208 3 m4.8.103 6 11 19 29 42 56 76 94 123
209 3 m4.8.103 6 11 19 29 42 56 76 94 123
210 3 m4.8.103 6 11 19 29 42 56 76 94 123
211 3 m4.8.103 6 11 19 29 42 56 76 94 123
212 3 m4.8.103 6 11 19 29 42 56 76 94 123
213 3 m4.8.103 6 11 19 29 42 56 76 94 123
214 3 m4.8.103 6 11 19 29 42 56 76 94 123
215 3 m4.8.103 6 11 19 29 42 56 76 94 123
216 3 m4.8.103 6 11 19 29 42 56 76 94 123
217 3 m4.8.103 6 11 19 29 42 56 76 94 123
218 3 m4.8.103 6 11 19 29 42 56 76 94 123
219 3 m4.8.103 6 11 19 29 42 56 76 94 123
220 3 m4.8.103 6 11 19 29 42 56 76 94 123
221 3 m4.8.103 6 11 19 29 42 56 76 94 123
222 3 m4.8.103 6 11 19 29 42 56 76 94 123
223 3 m4.8.103 6 11 19 29 42 56 76 94 123
224 3 m4.8.103 6 11 19 29 42 56 76 94 123
225 3 m4.8.103 6 11 19 29 42 56 76 94 123
226 3 m4.8.103 6 11 19 29 42 56 76 94 123
227 3 m4.8.103 6 11 19 29 42 56 76 94 123
228 3 m4.8.103 6 11 19 29 42 56 76 94 123
229 3 m4.8.103 6 11 19 29 42 56 76 94 123
230 3 m4.8.103 6 11 19 29 42 56 76 94 123
231 3 m4.8.103 6 11 19 29 42 56 76 94 123
232 3 m4.8.103 6 11 19 29 42 56 76 94 123
233 3 m4.8.103 6 11 19 29 42 56 76 94 123
234 3 m4.8.103 6 11 19 29 42 56 76 94 123
235 3 m4.8.103 6 11 19 29 42 56 76 94 123
236 3 m4.8.103 6 11 19 29 42 56 76 94 123
237 3 m4.8.103 6 11 19 29 42 56 76 94 123
238 3 m4.8.103 6 11 19 29 42 56 76 94 123
239 3 m4.8.103 6 11 19 29 42 56 76 94 123

Computed topology

Computed here from the quotient graph of the net itself, not transcribed from either source: periodicity, symmetry, invariants and rings, on the MOF+ deposit, the graph of the uploaded topology file and the RCSR archive key, the canonical key the archive states, by mofpp.invariants 2, mofpp.periodicity 1, mofpp.rings 2, mofpp.site_symmetry spglib-2.7.0 systre-19.6.0 v1 and systre 19.6.0 sha256:0d272e98a1a21669bc67a809b95c014ba2a2fb39a6fd2147039201216ab0d48d options:--systreKey wrapper:2. Each basis is analysed on its own and the results are never merged, because a MOF+ deposit and an RCSR archive key are two different graphs that usually describe the same net and sometimes do not. The transitivity r and s are computed by nothing in this project: they count the faces and the tiles of a natural tiling, and none is derived here. That is a measured limit rather than a job not yet done. The Gavrog library this project runs Systre from was tried on 2026-09-12: for a 3-periodic net it has no route from a net to a tiling at all, and for a 2-periodic net it has one that works, whose result is a plane tiling with faces and no tiles and so a transitivity triple rather than an r and an s. This block therefore states p and q and leaves r and s unknown rather than filling them. Every entry carries the tool, its version and input_checksum, the checksum of the graph that was actually analysed, so that a result computed from the graph this record holds now can be told from one computed before it changed. Nothing here rebuilds a graph to check that, so no entry below is claimed to be current.

Periodicity — the MOF+ deposit, the graph of the uploaded topology file

Periodicity (mofplus-deposit)
3-periodic
One connected net (mofplus-deposit)
yes
Interpenetration (mofplus-deposit)
1 copy
Computed by (mofplus-deposit)
mofpp.periodicity 1 — ok

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

Periodicity (rcsr-archive-key)
3-periodic
One connected net (rcsr-archive-key)
yes
Interpenetration (rcsr-archive-key)
1 copy
Computed by (rcsr-archive-key)
mofpp.periodicity 1 — ok

Symmetry — the MOF+ deposit, the graph of the uploaded topology file

Systre found one connected net in the repeat unit, so the group, the kinds of node and edge, and the key below describe that net.

Ideal space group (mofplus-deposit)
Fm-3m (No. 225)
Transitivity p, q (mofplus-deposit)
4, 7 Kinds of node and of edge. r and s count the faces and tiles of a natural tiling, and none is derived here: the library this site runs Systre from cannot produce one for a 3-periodic net at all, and a 2-periodic net tiles the plane, which has faces and no tiles. They stay unknown rather than being filled.
Point-group order (mofplus-deposit)
48
Repeat-unit factor (mofplus-deposit)
4
RCSR identification (mofplus-deposit)
xbu-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 3 5 0 0 0 3 8 0 0 0 4 5 0 0 0 4 9 0 0 0 5 10 0 0 0 6 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 8 17 0 0 0 8 18 0 0 0 9 19 0 0 0 9 20 0 0 0 10 21 0 0 0 10 22 0 0 0 11 12 0 0 0 11 13 0 0 0 11 23 0 0 0 11 24 0 0 0 12 14 0 0 0 12 24 0 0 0 12 25 0 0 0 13 14 0 0 0 13 24 0 0 0 13 26 0 0 0 14 24 0 0 0 14 27 0 0 0 15 28 0 0 0 15 29 0 0 0 16 29 0 0 0 16 30 0 0 0 17 31 0 0 0 17 32 0 0 0 18 32 0 0 0 18 33 0 0 0 19 34 0 0 0 19 35 0 0 0 20 35 0 0 0 20 36 0 0 0 21 37 0 0 0 21 38 0 0 0 22 38 0 0 0 22 39 0 0 0 23 30 0 0 0 23 37 1 0 0 23 40 0 0 0 23 41 0 0 0 24 42 0 0 0 25 33 0 0 0 25 34 0 1 0 25 43 0 0 0 25 44 0 0 0 26 31 0 0 1 26 36 0 0 0 26 45 0 0 0 26 46 0 0 0 27 28 -1 1 1 27 39 0 0 0 27 47 0 0 0 27 48 0 0 0 28 47 1 -1 -1 28 48 1 -1 -1 29 49 0 0 0 30 40 0 0 0 30 41 0 0 0 31 45 0 0 -1 31 46 0 0 -1 32 50 0 0 0 33 43 0 0 0 33 44 0 0 0 34 43 0 -1 0 34 44 0 -1 0 35 51 0 0 0 36 45 0 0 0 36 46 0 0 0 37 40 -1 0 0 37 41 -1 0 0 38 52 0 0 0 39 47 0 0 0 39 48 0 0 0 40 53 0 0 0 41 54 0 0 0 42 49 -1 1 1 42 50 0 0 1 42 51 0 1 0 42 52 1 0 0 43 55 0 0 0 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 50 1 -1 0 49 51 1 0 -1 50 52 1 0 -1 51 52 1 -1 0 53 55 0 0 0 53 58 1 0 -1 54 56 1 -1 0 54 57 0 0 0 55 60 1 0 -1 56 59 0 0 0 57 59 1 -1 0 58 60 0 0 0
Key against the archive (mofplus-deposit)
the same key, character for character
TD10 as Systre prints it (mofplus-deposit)
484
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)
484.1
Genus (mofplus-deposit)
55
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)
484.1
Genus (rcsr-archive-key)
55
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)
(4.8.10)2(3^2.4.8.9^2)2(3^4.4^2.8^4)
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, 233.3.3.3.4(2).4(2).8.8.8.8 3.3.3.3.8.8.8.8.20(3).20(3) 3^4.4^2.8^4 5 8 13 25 32 44 56 92 120 137
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).8.8.8.8 3.3.3.3.4.4.8.8.8.8 3^4.4^2.8^4 5 9 21 24 24 32 68 100 124 152
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, 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, 1433.3.4(2).8.9.9 3.3.4.8.12(2).12(2) 3^2.4.8.9^2 4 6 12 19 31 44 56 73 104 127
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, 2394.8.10 4.8.12(2) 4.8.10 3 6 11 19 29 42 56 76 94 123

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

Net point symbol (rcsr-archive-key)
(4.8.10)2(3^2.4.8.9^2)2(3^4.4^2.8^4)
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, 22, 24, 25, 26, 413.3.3.3.4(2).4(2).8.8.8.8 3.3.3.3.8.8.8.8.20(3).20(3) 3^4.4^2.8^4 5 8 13 25 32 44 56 92 120 137
1, 2, 3, 4, 27, 29, 30, 32, 33, 35, 36, 38, 39, 40, 42, 43, 44, 45, 46, 47, 48, 49, 50, 513.3.4(2).8.9.9 3.3.4.8.12(2).12(2) 3^2.4.8.9^2 4 6 12 19 31 44 56 73 104 127
5, 10, 11, 12, 13, 233.3.3.3.4(3).4(3).8.8.8.8 3.3.3.3.4.4.8.8.8.8 3^4.4^2.8^4 5 9 21 24 24 32 68 100 124 152
6, 7, 8, 9, 14, 15, 16, 17, 18, 19, 20, 21, 28, 31, 34, 37, 52, 53, 54, 55, 56, 57, 58, 594.8.10 4.8.12(2) 4.8.10 3 6 11 19 29 42 56 76 94 123

Cross-checks

Name against the computed key
corroborated-by-systre-key
Stored symbols against the computed ones
corroborated: 240 of 240 vertex rows agree with mofpp.rings v2 (mofplus-deposit).
Stored sequences against the computed ones
corroborated: 240 of 240 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
xbu-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
2737 (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
2364 The order the ingest processed this net in, simplest first. A different number from the RCSR index above, meaning a different thing.