Net topology

xbk-a

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
Fm-3m (No. 225)
Cell lengths
a = 8.2898 Å, b = 8.2898 Å, c = 8.2898 Å
Cell angles
α = 90.00°, β = 90.00°, γ = 90.00°
Atoms in cell
192
Transitivity pqrs
4, 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 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 23 0 0 0 12 24 0 0 0 13 24 0 0 0 13 25 0 0 0 14 26 0 0 0 14 27 0 0 0 15 26 0 0 0 15 28 0 0 0 16 29 0 0 0 16 30 0 0 0 17 31 0 0 0 17 32 0 0 0 18 31 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 27 0 0 0 23 32 0 0 0 23 34 0 1 0 23 37 1 0 0 24 40 0 0 0 25 28 -1 1 1 25 33 0 0 1 25 36 0 0 0 25 39 0 0 0 26 41 0 0 0 27 32 0 0 0 27 36 1 0 -1 27 42 0 0 0 28 33 1 -1 0 28 34 0 0 0 28 43 0 0 0 29 43 0 0 0 29 44 0 0 0 30 42 -1 0 0 30 44 0 0 0 31 45 0 0 0 32 39 1 0 -1 32 43 0 1 0 33 37 0 0 0 33 42 -1 0 0 34 37 1 -1 0 34 43 0 0 0 35 46 0 0 0 36 39 0 0 0 36 42 -1 0 1 37 42 -1 0 0 38 47 0 0 0 39 43 -1 1 1 40 41 -1 1 1 40 45 0 0 1 40 46 0 1 0 40 47 1 0 0 41 45 1 -1 0 41 46 1 0 -1 41 48 0 0 0 44 48 -1 0 0 45 47 1 0 -1 45 48 -1 1 0 46 47 1 -1 0 46 48 -1 0 1 47 48 -2 1 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
b624f47a542617c30a2a60672a7f5e15 (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 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 mm23.3.4.4.5(2).5(2).8.8.8.85 12 18 30 42 59 90 115 148 202
1 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 18 30 42 59 90 115 148 202
2 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 18 30 42 59 90 115 148 202
3 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 18 30 42 59 90 115 148 202
4 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 18 30 42 59 90 115 148 202
5 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 18 30 42 59 90 115 148 202
6 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 18 30 42 59 90 115 148 202
7 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 18 30 42 59 90 115 148 202
8 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 18 30 42 59 90 115 148 202
9 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 18 30 42 59 90 115 148 202
10 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 18 30 42 59 90 115 148 202
11 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 18 30 42 59 90 115 148 202
12 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 18 30 42 59 90 115 148 202
13 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 18 30 42 59 90 115 148 202
14 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 18 30 42 59 90 115 148 202
15 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 18 30 42 59 90 115 148 202
16 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 18 30 42 59 90 115 148 202
17 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 18 30 42 59 90 115 148 202
18 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 18 30 42 59 90 115 148 202
19 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 18 30 42 59 90 115 148 202
20 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 18 30 42 59 90 115 148 202
21 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 18 30 42 59 90 115 148 202
22 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 18 30 42 59 90 115 148 202
23 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 18 30 42 59 90 115 148 202
24 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 18 30 42 59 90 115 148 202
25 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 18 30 42 59 90 115 148 202
26 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 18 30 42 59 90 115 148 202
27 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 18 30 42 59 90 115 148 202
28 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 18 30 42 59 90 115 148 202
29 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 18 30 42 59 90 115 148 202
30 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 18 30 42 59 90 115 148 202
31 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 18 30 42 59 90 115 148 202
32 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 18 30 42 59 90 115 148 202
33 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 18 30 42 59 90 115 148 202
34 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 18 30 42 59 90 115 148 202
35 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 18 30 42 59 90 115 148 202
36 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 18 30 42 59 90 115 148 202
37 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 18 30 42 59 90 115 148 202
38 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 18 30 42 59 90 115 148 202
39 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 18 30 42 59 90 115 148 202
40 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 18 30 42 59 90 115 148 202
41 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 18 30 42 59 90 115 148 202
42 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 18 30 42 59 90 115 148 202
43 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 18 30 42 59 90 115 148 202
44 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 18 30 42 59 90 115 148 202
45 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 18 30 42 59 90 115 148 202
46 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 18 30 42 59 90 115 148 202
47 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 18 30 42 59 90 115 148 202
48 5 mm23.3.3.3.4(3).4(3).8.8.8.85 7 12 19 35 58 69 87 110 141
49 5 mm23.3.3.3.4(3).4(3).8.8.8.85 7 12 19 35 58 69 87 110 141
50 5 mm23.3.3.3.4(3).4(3).8.8.8.85 7 12 19 35 58 69 87 110 141
51 5 mm23.3.3.3.4(3).4(3).8.8.8.85 7 12 19 35 58 69 87 110 141
52 5 mm23.3.3.3.4(3).4(3).8.8.8.85 7 12 19 35 58 69 87 110 141
53 5 mm23.3.3.3.4(3).4(3).8.8.8.85 7 12 19 35 58 69 87 110 141
54 5 mm23.3.3.3.4(3).4(3).8.8.8.85 7 12 19 35 58 69 87 110 141
55 5 mm23.3.3.3.4(3).4(3).8.8.8.85 7 12 19 35 58 69 87 110 141
56 5 mm23.3.3.3.4(3).4(3).8.8.8.85 7 12 19 35 58 69 87 110 141
57 5 mm23.3.3.3.4(3).4(3).8.8.8.85 7 12 19 35 58 69 87 110 141
58 5 mm23.3.3.3.4(3).4(3).8.8.8.85 7 12 19 35 58 69 87 110 141
59 5 mm23.3.3.3.4(3).4(3).8.8.8.85 7 12 19 35 58 69 87 110 141
60 5 mm23.3.3.3.4(3).4(3).8.8.8.85 7 12 19 35 58 69 87 110 141
61 5 mm23.3.3.3.4(3).4(3).8.8.8.85 7 12 19 35 58 69 87 110 141
62 5 mm23.3.3.3.4(3).4(3).8.8.8.85 7 12 19 35 58 69 87 110 141
63 5 mm23.3.3.3.4(3).4(3).8.8.8.85 7 12 19 35 58 69 87 110 141
64 5 mm23.3.3.3.4(3).4(3).8.8.8.85 7 12 19 35 58 69 87 110 141
65 5 mm23.3.3.3.4(3).4(3).8.8.8.85 7 12 19 35 58 69 87 110 141
66 5 mm23.3.3.3.4(3).4(3).8.8.8.85 7 12 19 35 58 69 87 110 141
67 5 mm23.3.3.3.4(3).4(3).8.8.8.85 7 12 19 35 58 69 87 110 141
68 5 mm23.3.3.3.4(3).4(3).8.8.8.85 7 12 19 35 58 69 87 110 141
69 5 mm23.3.3.3.4(3).4(3).8.8.8.85 7 12 19 35 58 69 87 110 141
70 5 mm23.3.3.3.4(3).4(3).8.8.8.85 7 12 19 35 58 69 87 110 141
71 5 mm23.3.3.3.4(3).4(3).8.8.8.85 7 12 19 35 58 69 87 110 141
72 5 mm23.3.3.3.4(3).4(3).8.8.8.85 7 12 19 35 58 69 87 110 141
73 5 mm23.3.3.3.4(3).4(3).8.8.8.85 7 12 19 35 58 69 87 110 141
74 5 mm23.3.3.3.4(3).4(3).8.8.8.85 7 12 19 35 58 69 87 110 141
75 5 mm23.3.3.3.4(3).4(3).8.8.8.85 7 12 19 35 58 69 87 110 141
76 5 mm23.3.3.3.4(3).4(3).8.8.8.85 7 12 19 35 58 69 87 110 141
77 5 mm23.3.3.3.4(3).4(3).8.8.8.85 7 12 19 35 58 69 87 110 141
78 5 mm23.3.3.3.4(3).4(3).8.8.8.85 7 12 19 35 58 69 87 110 141
79 5 mm23.3.3.3.4(3).4(3).8.8.8.85 7 12 19 35 58 69 87 110 141
80 5 mm23.3.3.3.4(3).4(3).8.8.8.85 7 12 19 35 58 69 87 110 141
81 5 mm23.3.3.3.4(3).4(3).8.8.8.85 7 12 19 35 58 69 87 110 141
82 5 mm23.3.3.3.4(3).4(3).8.8.8.85 7 12 19 35 58 69 87 110 141
83 5 mm23.3.3.3.4(3).4(3).8.8.8.85 7 12 19 35 58 69 87 110 141
84 5 mm23.3.3.3.4(3).4(3).8.8.8.85 7 12 19 35 58 69 87 110 141
85 5 mm23.3.3.3.4(3).4(3).8.8.8.85 7 12 19 35 58 69 87 110 141
86 5 mm23.3.3.3.4(3).4(3).8.8.8.85 7 12 19 35 58 69 87 110 141
87 5 mm23.3.3.3.4(3).4(3).8.8.8.85 7 12 19 35 58 69 87 110 141
88 5 mm23.3.3.3.4(3).4(3).8.8.8.85 7 12 19 35 58 69 87 110 141
89 5 mm23.3.3.3.4(3).4(3).8.8.8.85 7 12 19 35 58 69 87 110 141
90 5 mm23.3.3.3.4(3).4(3).8.8.8.85 7 12 19 35 58 69 87 110 141
91 5 mm23.3.3.3.4(3).4(3).8.8.8.85 7 12 19 35 58 69 87 110 141
92 5 mm23.3.3.3.4(3).4(3).8.8.8.85 7 12 19 35 58 69 87 110 141
93 5 mm23.3.3.3.4(3).4(3).8.8.8.85 7 12 19 35 58 69 87 110 141
94 5 mm23.3.3.3.4(3).4(3).8.8.8.85 7 12 19 35 58 69 87 110 141
95 5 mm23.3.3.3.4(3).4(3).8.8.8.85 7 12 19 35 58 69 87 110 141
96 3 mm24.8(2).8(2)3 7 14 29 33 50 81 87 134 183
97 3 mm24.8(2).8(2)3 7 14 29 33 50 81 87 134 183
98 3 mm24.8(2).8(2)3 7 14 29 33 50 81 87 134 183
99 3 mm24.8(2).8(2)3 7 14 29 33 50 81 87 134 183
100 3 mm24.8(2).8(2)3 7 14 29 33 50 81 87 134 183
101 3 mm24.8(2).8(2)3 7 14 29 33 50 81 87 134 183
102 3 mm24.8(2).8(2)3 7 14 29 33 50 81 87 134 183
103 3 mm24.8(2).8(2)3 7 14 29 33 50 81 87 134 183
104 3 mm24.8(2).8(2)3 7 14 29 33 50 81 87 134 183
105 3 mm24.8(2).8(2)3 7 14 29 33 50 81 87 134 183
106 3 mm24.8(2).8(2)3 7 14 29 33 50 81 87 134 183
107 3 mm24.8(2).8(2)3 7 14 29 33 50 81 87 134 183
108 3 mm24.8(2).8(2)3 7 14 29 33 50 81 87 134 183
109 3 mm24.8(2).8(2)3 7 14 29 33 50 81 87 134 183
110 3 mm24.8(2).8(2)3 7 14 29 33 50 81 87 134 183
111 3 mm24.8(2).8(2)3 7 14 29 33 50 81 87 134 183
112 3 mm24.8(2).8(2)3 7 14 29 33 50 81 87 134 183
113 3 mm24.8(2).8(2)3 7 14 29 33 50 81 87 134 183
114 3 mm24.8(2).8(2)3 7 14 29 33 50 81 87 134 183
115 3 mm24.8(2).8(2)3 7 14 29 33 50 81 87 134 183
116 3 mm24.8(2).8(2)3 7 14 29 33 50 81 87 134 183
117 3 mm24.8(2).8(2)3 7 14 29 33 50 81 87 134 183
118 3 mm24.8(2).8(2)3 7 14 29 33 50 81 87 134 183
119 3 mm24.8(2).8(2)3 7 14 29 33 50 81 87 134 183
120 3 mm24.8(2).8(2)3 7 14 29 33 50 81 87 134 183
121 3 mm24.8(2).8(2)3 7 14 29 33 50 81 87 134 183
122 3 mm24.8(2).8(2)3 7 14 29 33 50 81 87 134 183
123 3 mm24.8(2).8(2)3 7 14 29 33 50 81 87 134 183
124 3 mm24.8(2).8(2)3 7 14 29 33 50 81 87 134 183
125 3 mm24.8(2).8(2)3 7 14 29 33 50 81 87 134 183
126 3 mm24.8(2).8(2)3 7 14 29 33 50 81 87 134 183
127 3 mm24.8(2).8(2)3 7 14 29 33 50 81 87 134 183
128 3 mm24.8(2).8(2)3 7 14 29 33 50 81 87 134 183
129 3 mm24.8(2).8(2)3 7 14 29 33 50 81 87 134 183
130 3 mm24.8(2).8(2)3 7 14 29 33 50 81 87 134 183
131 3 mm24.8(2).8(2)3 7 14 29 33 50 81 87 134 183
132 3 mm24.8(2).8(2)3 7 14 29 33 50 81 87 134 183
133 3 mm24.8(2).8(2)3 7 14 29 33 50 81 87 134 183
134 3 mm24.8(2).8(2)3 7 14 29 33 50 81 87 134 183
135 3 mm24.8(2).8(2)3 7 14 29 33 50 81 87 134 183
136 3 mm24.8(2).8(2)3 7 14 29 33 50 81 87 134 183
137 3 mm24.8(2).8(2)3 7 14 29 33 50 81 87 134 183
138 3 mm24.8(2).8(2)3 7 14 29 33 50 81 87 134 183
139 3 mm24.8(2).8(2)3 7 14 29 33 50 81 87 134 183
140 3 mm24.8(2).8(2)3 7 14 29 33 50 81 87 134 183
141 3 mm24.8(2).8(2)3 7 14 29 33 50 81 87 134 183
142 3 mm24.8(2).8(2)3 7 14 29 33 50 81 87 134 183
143 3 mm24.8(2).8(2)3 7 14 29 33 50 81 87 134 183
144 3 mm24.8(2).8(2)3 7 19 25 37 51 66 109 131 159
145 3 mm24.8(2).8(2)3 7 19 25 37 51 66 109 131 159
146 3 mm24.8(2).8(2)3 7 19 25 37 51 66 109 131 159
147 3 mm24.8(2).8(2)3 7 19 25 37 51 66 109 131 159
148 3 mm24.8(2).8(2)3 7 19 25 37 51 66 109 131 159
149 3 mm24.8(2).8(2)3 7 19 25 37 51 66 109 131 159
150 3 mm24.8(2).8(2)3 7 19 25 37 51 66 109 131 159
151 3 mm24.8(2).8(2)3 7 19 25 37 51 66 109 131 159
152 3 mm24.8(2).8(2)3 7 19 25 37 51 66 109 131 159
153 3 mm24.8(2).8(2)3 7 19 25 37 51 66 109 131 159
154 3 mm24.8(2).8(2)3 7 19 25 37 51 66 109 131 159
155 3 mm24.8(2).8(2)3 7 19 25 37 51 66 109 131 159
156 3 mm24.8(2).8(2)3 7 19 25 37 51 66 109 131 159
157 3 mm24.8(2).8(2)3 7 19 25 37 51 66 109 131 159
158 3 mm24.8(2).8(2)3 7 19 25 37 51 66 109 131 159
159 3 mm24.8(2).8(2)3 7 19 25 37 51 66 109 131 159
160 3 mm24.8(2).8(2)3 7 19 25 37 51 66 109 131 159
161 3 mm24.8(2).8(2)3 7 19 25 37 51 66 109 131 159
162 3 mm24.8(2).8(2)3 7 19 25 37 51 66 109 131 159
163 3 mm24.8(2).8(2)3 7 19 25 37 51 66 109 131 159
164 3 mm24.8(2).8(2)3 7 19 25 37 51 66 109 131 159
165 3 mm24.8(2).8(2)3 7 19 25 37 51 66 109 131 159
166 3 mm24.8(2).8(2)3 7 19 25 37 51 66 109 131 159
167 3 mm24.8(2).8(2)3 7 19 25 37 51 66 109 131 159
168 3 mm24.8(2).8(2)3 7 19 25 37 51 66 109 131 159
169 3 mm24.8(2).8(2)3 7 19 25 37 51 66 109 131 159
170 3 mm24.8(2).8(2)3 7 19 25 37 51 66 109 131 159
171 3 mm24.8(2).8(2)3 7 19 25 37 51 66 109 131 159
172 3 mm24.8(2).8(2)3 7 19 25 37 51 66 109 131 159
173 3 mm24.8(2).8(2)3 7 19 25 37 51 66 109 131 159
174 3 mm24.8(2).8(2)3 7 19 25 37 51 66 109 131 159
175 3 mm24.8(2).8(2)3 7 19 25 37 51 66 109 131 159
176 3 mm24.8(2).8(2)3 7 19 25 37 51 66 109 131 159
177 3 mm24.8(2).8(2)3 7 19 25 37 51 66 109 131 159
178 3 mm24.8(2).8(2)3 7 19 25 37 51 66 109 131 159
179 3 mm24.8(2).8(2)3 7 19 25 37 51 66 109 131 159
180 3 mm24.8(2).8(2)3 7 19 25 37 51 66 109 131 159
181 3 mm24.8(2).8(2)3 7 19 25 37 51 66 109 131 159
182 3 mm24.8(2).8(2)3 7 19 25 37 51 66 109 131 159
183 3 mm24.8(2).8(2)3 7 19 25 37 51 66 109 131 159
184 3 mm24.8(2).8(2)3 7 19 25 37 51 66 109 131 159
185 3 mm24.8(2).8(2)3 7 19 25 37 51 66 109 131 159
186 3 mm24.8(2).8(2)3 7 19 25 37 51 66 109 131 159
187 3 mm24.8(2).8(2)3 7 19 25 37 51 66 109 131 159
188 3 mm24.8(2).8(2)3 7 19 25 37 51 66 109 131 159
189 3 mm24.8(2).8(2)3 7 19 25 37 51 66 109 131 159
190 3 mm24.8(2).8(2)3 7 19 25 37 51 66 109 131 159
191 3 mm24.8(2).8(2)3 7 19 25 37 51 66 109 131 159

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, 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)
xbk-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 23 0 0 0 12 24 0 0 0 13 24 0 0 0 13 25 0 0 0 14 26 0 0 0 14 27 0 0 0 15 26 0 0 0 15 28 0 0 0 16 29 0 0 0 16 30 0 0 0 17 31 0 0 0 17 32 0 0 0 18 31 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 27 0 0 0 23 32 0 0 0 23 34 0 1 0 23 37 1 0 0 24 40 0 0 0 25 28 -1 1 1 25 33 0 0 1 25 36 0 0 0 25 39 0 0 0 26 41 0 0 0 27 32 0 0 0 27 36 1 0 -1 27 42 0 0 0 28 33 1 -1 0 28 34 0 0 0 28 43 0 0 0 29 43 0 0 0 29 44 0 0 0 30 42 -1 0 0 30 44 0 0 0 31 45 0 0 0 32 39 1 0 -1 32 43 0 1 0 33 37 0 0 0 33 42 -1 0 0 34 37 1 -1 0 34 43 0 0 0 35 46 0 0 0 36 39 0 0 0 36 42 -1 0 1 37 42 -1 0 0 38 47 0 0 0 39 43 -1 1 1 40 41 -1 1 1 40 45 0 0 1 40 46 0 1 0 40 47 1 0 0 41 45 1 -1 0 41 46 1 0 -1 41 48 0 0 0 44 48 -1 0 0 45 47 1 0 -1 45 48 -1 1 0 46 47 1 -1 0 46 48 -1 0 1 47 48 -2 1 1
Key against the archive (mofplus-deposit)
the same key, character for character
TD10 as Systre prints it (mofplus-deposit)
624
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)
624.0
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)
624.0
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)
(4.8^2)2(3^2.4^2.5^2.8^4)(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, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 473.3.4.4.5(2).5(2).8.8.8.8 3.3.4.4.6.6.8.8.8.8 3^2.4^2.5^2.8^4 5 12 18 30 42 59 90 115 148 202
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, 953.3.3.3.4(3).4(3).8.8.8.8 3.3.3.3.4.4.8.8.8.8 3^4.4^2.8^4 5 7 12 19 35 58 69 87 110 141
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, 1434.8(2).8(2) 4.8(2).8(2) 4.8^2 3 7 14 29 33 50 81 87 134 183
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, 1914.8(2).8(2) 4.8(2).8(2) 4.8^2 3 7 19 25 37 51 66 109 131 159

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

Net point symbol (rcsr-archive-key)
(4.8^2)2(3^2.4^2.5^2.8^4)(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, 1, 2, 3, 4, 7, 39, 40, 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 7 12 19 35 58 69 87 110 141
5, 6, 8, 9, 10, 15, 23, 25, 30, 34, 37, 434.8(2).8(2) 4.8(2).8(2) 4.8^2 3 7 14 29 33 50 81 87 134 183
11, 12, 13, 14, 16, 17, 18, 19, 20, 21, 28, 294.8(2).8(2) 4.8(2).8(2) 4.8^2 3 7 19 25 37 51 66 109 131 159
22, 24, 26, 27, 31, 32, 33, 35, 36, 38, 41, 423.3.4.4.5(2).5(2).8.8.8.8 3.3.4.4.6.6.8.8.8.8 3^2.4^2.5^2.8^4 5 12 18 30 42 59 90 115 148 202

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
xbk-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
2722 (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
2330 The order the ingest processed this net in, simplest first. A different number from the RCSR index above, meaning a different thing.