Net topology

fau

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

JSON · mfpx

192 vertices and 384 edges in the unit cell. 66 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 = 7.9667 Å, b = 7.9667 Å, c = 7.9667 Å
Cell angles
α = 90.00°, β = 90.00°, γ = 90.00°
Atoms in cell
192
Transitivity pqrs
1, 4, *, *
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 7 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 13 0 0 0 5 14 0 0 0 6 15 0 0 0 6 16 0 0 0 6 17 0 0 0 7 18 0 0 0 7 19 0 0 0 8 17 0 0 0 8 20 0 0 0 9 19 0 0 0 9 21 0 0 0 9 22 0 0 0 10 23 0 0 0 10 24 0 0 0 11 20 0 0 0 11 21 0 0 0 11 25 0 0 0 12 25 0 0 0 12 26 0 0 0 12 27 0 0 0 13 23 0 0 0 13 28 0 0 0 13 29 0 0 0 14 27 0 0 0 14 29 0 0 0 14 30 0 0 0 15 31 0 0 0 15 32 0 0 0 15 33 0 0 0 16 32 0 0 0 16 34 0 0 0 16 35 0 0 0 17 35 0 0 0 17 36 0 0 0 18 33 0 0 0 18 37 0 0 0 18 38 0 0 0 19 38 0 0 0 19 39 0 0 0 20 39 0 0 0 20 40 0 0 0 21 39 0 0 0 21 41 0 0 0 22 31 1 0 0 22 32 1 0 0 22 41 0 0 0 23 42 0 0 0 23 43 0 0 0 24 32 1 0 0 24 34 1 0 0 24 43 0 0 0 25 42 0 1 0 25 44 0 0 0 26 31 0 0 1 26 33 0 0 1 26 42 0 1 0 27 33 0 0 1 27 37 0 0 1 28 31 0 -1 1 28 36 0 -1 1 28 41 -1 -1 1 29 36 0 -1 1 29 40 0 -1 1 30 34 1 0 0 30 37 0 0 1 30 40 0 -1 1 34 45 0 0 0 35 46 0 0 0 35 47 0 0 0 36 46 0 0 0 37 47 1 0 -1 38 47 1 0 -1 38 48 0 0 0 39 45 1 1 -1 40 45 1 1 -1 41 46 1 0 0 42 48 0 -1 1 43 45 1 0 0 43 48 0 -1 1 44 46 1 0 0 44 47 1 0 0 44 48 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
be8adad45ad588c1e278e39a60bba0a5 (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 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 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
1 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
2 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
3 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
4 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
5 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
6 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
7 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
8 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
9 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
10 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
11 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
12 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
13 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
14 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
15 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
16 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
17 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
18 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
19 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
20 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
21 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
22 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
23 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
24 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
25 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
26 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
27 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
28 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
29 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
30 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
31 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
32 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
33 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
34 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
35 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
36 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
37 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
38 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
39 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
40 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
41 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
42 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
43 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
44 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
45 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
46 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
47 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
48 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
49 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
50 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
51 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
52 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
53 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
54 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
55 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
56 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
57 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
58 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
59 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
60 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
61 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
62 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
63 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
64 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
65 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
66 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
67 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
68 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
69 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
70 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
71 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
72 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
73 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
74 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
75 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
76 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
77 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
78 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
79 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
80 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
81 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
82 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
83 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
84 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
85 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
86 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
87 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
88 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
89 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
90 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
91 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
92 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
93 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
94 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
95 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
96 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
97 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
98 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
99 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
100 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
101 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
102 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
103 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
104 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
105 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
106 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
107 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
108 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
109 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
110 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
111 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
112 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
113 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
114 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
115 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
116 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
117 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
118 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
119 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
120 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
121 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
122 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
123 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
124 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
125 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
126 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
127 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
128 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
129 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
130 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
131 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
132 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
133 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
134 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
135 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
136 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
137 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
138 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
139 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
140 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
141 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
142 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
143 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
144 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
145 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
146 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
147 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
148 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
149 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
150 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
151 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
152 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
153 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
154 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
155 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
156 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
157 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
158 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
159 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
160 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
161 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
162 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
163 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
164 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
165 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
166 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
167 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
168 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
169 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
170 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
171 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
172 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
173 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
174 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
175 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
176 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
177 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
178 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
179 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
180 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
181 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
182 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
183 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
184 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
185 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
186 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
187 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
188 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
189 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
190 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145
191 4 14.4.4.6.6.6(2)4 9 16 25 37 53 73 96 120 145

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)
1, 4 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)
fau
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 7 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 13 0 0 0 5 14 0 0 0 6 15 0 0 0 6 16 0 0 0 6 17 0 0 0 7 18 0 0 0 7 19 0 0 0 8 17 0 0 0 8 20 0 0 0 9 19 0 0 0 9 21 0 0 0 9 22 0 0 0 10 23 0 0 0 10 24 0 0 0 11 20 0 0 0 11 21 0 0 0 11 25 0 0 0 12 25 0 0 0 12 26 0 0 0 12 27 0 0 0 13 23 0 0 0 13 28 0 0 0 13 29 0 0 0 14 27 0 0 0 14 29 0 0 0 14 30 0 0 0 15 31 0 0 0 15 32 0 0 0 15 33 0 0 0 16 32 0 0 0 16 34 0 0 0 16 35 0 0 0 17 35 0 0 0 17 36 0 0 0 18 33 0 0 0 18 37 0 0 0 18 38 0 0 0 19 38 0 0 0 19 39 0 0 0 20 39 0 0 0 20 40 0 0 0 21 39 0 0 0 21 41 0 0 0 22 31 1 0 0 22 32 1 0 0 22 41 0 0 0 23 42 0 0 0 23 43 0 0 0 24 32 1 0 0 24 34 1 0 0 24 43 0 0 0 25 42 0 1 0 25 44 0 0 0 26 31 0 0 1 26 33 0 0 1 26 42 0 1 0 27 33 0 0 1 27 37 0 0 1 28 31 0 -1 1 28 36 0 -1 1 28 41 -1 -1 1 29 36 0 -1 1 29 40 0 -1 1 30 34 1 0 0 30 37 0 0 1 30 40 0 -1 1 34 45 0 0 0 35 46 0 0 0 35 47 0 0 0 36 46 0 0 0 37 47 1 0 -1 38 47 1 0 -1 38 48 0 0 0 39 45 1 1 -1 40 45 1 1 -1 41 46 1 0 0 42 48 0 -1 1 43 45 1 0 0 43 48 0 -1 1 44 46 1 0 0 44 47 1 0 0 44 48 0 0 1
Key against the archive (mofplus-deposit)
the same key, character for character
TD10 as Systre prints it (mofplus-deposit)
579
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)
579.0
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)
579.0
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)
(4^3.6^3)
Longest ring searched (mofplus-deposit)
40
Computed by (rings, mofplus-deposit)
mofpp.rings 2 — ok
Computed from the graph itself, one row per set of vertices carrying the same symbols. The cycle symbol follows the MOF+ convention — the shortest cycle at each angle — and is the one comparable with the stored column above; the RCSR ring symbol names the shortest ring at each angle, with * where none exists within the bound, and is a different quantity.
Vertices Cycle symbol (MOF+ convention) RCSR ring symbol Point symbol Coordination sequence
0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 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, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 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, 1914.4.4.6.6.6(2) 4.4.4.6.6.12 4^3.6^3 4 9 16 25 37 53 73 96 120 145

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

Net point symbol (rcsr-archive-key)
(4^3.6^3)
Longest ring searched (rcsr-archive-key)
40
Computed by (rings, rcsr-archive-key)
mofpp.rings 2 — ok
Computed from the graph itself, one row per set of vertices carrying the same symbols. The cycle symbol follows the MOF+ convention — the shortest cycle at each angle — and is the one comparable with the stored column above; the RCSR ring symbol names the shortest ring at each angle, with * where none exists within the bound, and is a different quantity.
Vertices Cycle symbol (MOF+ convention) RCSR ring symbol Point symbol Coordination sequence
0, 1, 2, 3, 4, 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, 474.4.4.6.6.6(2) 4.4.4.6.6.12 4^3.6^3 4 9 16 25 37 53 73 96 120 145

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
fau
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
655 (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
2319 The order the ingest processed this net in, simplest first. A different number from the RCSR index above, meaning a different thing.