Net topology

dnd-a

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

JSON · mfpx

288 vertices and 528 edges in the unit cell. 84 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 = 8.6826 Å, b = 8.6826 Å, c = 8.6826 Å
Cell angles
α = 90.00°, β = 90.00°, γ = 90.00°
Atoms in cell
288
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 7 0 0 0 2 8 0 0 0 2 9 0 0 0 3 10 0 0 0 3 11 0 0 0 3 12 0 0 0 4 5 0 0 0 4 9 0 0 0 4 13 0 0 0 4 14 0 0 0 5 12 0 0 0 5 15 0 0 0 5 16 0 0 0 6 17 0 0 0 6 18 0 0 0 7 9 0 0 0 7 10 0 0 0 7 19 0 0 0 7 20 0 0 0 8 21 0 0 0 8 22 0 0 0 9 13 0 0 0 9 23 0 0 0 10 12 0 0 0 10 20 0 0 0 10 24 0 0 0 11 25 0 0 0 11 26 0 0 0 12 15 0 0 0 12 27 0 0 0 13 15 0 0 0 13 20 0 0 0 13 28 0 0 0 14 29 0 0 0 14 30 0 0 0 15 20 0 0 0 15 31 0 0 0 16 32 0 0 0 16 33 0 0 0 17 18 0 0 0 17 34 0 0 0 18 35 0 0 0 19 36 0 0 0 19 37 0 0 0 20 38 0 0 0 21 22 0 0 0 21 39 0 0 0 22 40 0 0 0 23 41 0 0 0 23 42 0 0 0 24 43 0 0 0 24 44 0 0 0 25 26 0 0 0 25 45 0 0 0 26 46 0 0 0 27 47 0 0 0 27 48 0 0 0 28 49 0 0 0 28 50 0 0 0 29 30 0 0 0 29 51 0 0 0 30 52 0 0 0 31 53 0 0 0 31 54 0 0 0 32 33 0 0 0 32 55 0 0 0 33 56 0 0 0 34 40 0 0 0 34 51 0 0 0 34 57 0 0 0 35 46 0 0 0 35 55 0 0 0 35 58 0 0 0 36 37 0 0 0 36 59 0 0 0 37 60 0 0 0 38 61 0 0 0 38 62 0 0 0 39 45 0 0 0 39 59 0 0 0 39 63 0 0 0 40 64 0 0 0 40 65 0 0 0 41 42 0 0 0 41 66 0 0 0 42 65 0 0 0 43 44 0 0 0 43 67 0 0 0 44 68 0 0 0 45 67 0 0 0 45 69 0 0 0 46 70 0 0 0 46 71 0 0 0 47 48 0 0 0 47 72 0 0 0 48 71 0 0 0 49 50 0 0 0 49 69 1 0 0 50 70 1 0 0 51 65 0 0 0 51 67 0 1 0 52 56 0 0 0 52 68 0 1 0 52 70 1 0 0 53 54 0 0 0 53 63 0 0 1 54 64 0 0 1 55 59 -1 1 1 55 71 0 0 0 56 60 -1 1 1 56 64 0 0 1 57 60 -1 1 0 57 61 -1 1 0 57 69 0 1 0 58 62 -1 1 0 58 63 -1 1 1 58 68 -1 1 0 59 67 0 0 0 60 66 0 0 0 61 62 0 0 0 63 72 0 0 -1 64 70 1 0 -1 65 71 1 0 -1 66 69 1 0 0 66 72 1 0 -1 68 72 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
a7061162cfce6d490d9816f531189698 (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 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 3 m3.8.8(2)3 5 15 32 43 64 78 109 159 198
1 3 m3.8.8(2)3 5 15 32 43 64 78 109 159 198
2 3 m3.8.8(2)3 5 15 32 43 64 78 109 159 198
3 3 m3.8.8(2)3 5 15 32 43 64 78 109 159 198
4 3 m3.8.8(2)3 5 15 32 43 64 78 109 159 198
5 3 m3.8.8(2)3 5 15 32 43 64 78 109 159 198
6 3 m3.8.8(2)3 5 15 32 43 64 78 109 159 198
7 3 m3.8.8(2)3 5 15 32 43 64 78 109 159 198
8 3 m3.8.8(2)3 5 15 32 43 64 78 109 159 198
9 3 m3.8.8(2)3 5 15 32 43 64 78 109 159 198
10 3 m3.8.8(2)3 5 15 32 43 64 78 109 159 198
11 3 m3.8.8(2)3 5 15 32 43 64 78 109 159 198
12 3 m3.8.8(2)3 5 15 32 43 64 78 109 159 198
13 3 m3.8.8(2)3 5 15 32 43 64 78 109 159 198
14 3 m3.8.8(2)3 5 15 32 43 64 78 109 159 198
15 3 m3.8.8(2)3 5 15 32 43 64 78 109 159 198
16 3 m3.8.8(2)3 5 15 32 43 64 78 109 159 198
17 3 m3.8.8(2)3 5 15 32 43 64 78 109 159 198
18 3 m3.8.8(2)3 5 15 32 43 64 78 109 159 198
19 3 m3.8.8(2)3 5 15 32 43 64 78 109 159 198
20 3 m3.8.8(2)3 5 15 32 43 64 78 109 159 198
21 3 m3.8.8(2)3 5 15 32 43 64 78 109 159 198
22 3 m3.8.8(2)3 5 15 32 43 64 78 109 159 198
23 3 m3.8.8(2)3 5 15 32 43 64 78 109 159 198
24 3 m3.8.8(2)3 5 15 32 43 64 78 109 159 198
25 3 m3.8.8(2)3 5 15 32 43 64 78 109 159 198
26 3 m3.8.8(2)3 5 15 32 43 64 78 109 159 198
27 3 m3.8.8(2)3 5 15 32 43 64 78 109 159 198
28 3 m3.8.8(2)3 5 15 32 43 64 78 109 159 198
29 3 m3.8.8(2)3 5 15 32 43 64 78 109 159 198
30 3 m3.8.8(2)3 5 15 32 43 64 78 109 159 198
31 3 m3.8.8(2)3 5 15 32 43 64 78 109 159 198
32 3 m3.8.8(2)3 5 15 32 43 64 78 109 159 198
33 3 m3.8.8(2)3 5 15 32 43 64 78 109 159 198
34 3 m3.8.8(2)3 5 15 32 43 64 78 109 159 198
35 3 m3.8.8(2)3 5 15 32 43 64 78 109 159 198
36 3 m3.8.8(2)3 5 15 32 43 64 78 109 159 198
37 3 m3.8.8(2)3 5 15 32 43 64 78 109 159 198
38 3 m3.8.8(2)3 5 15 32 43 64 78 109 159 198
39 3 m3.8.8(2)3 5 15 32 43 64 78 109 159 198
40 3 m3.8.8(2)3 5 15 32 43 64 78 109 159 198
41 3 m3.8.8(2)3 5 15 32 43 64 78 109 159 198
42 3 m3.8.8(2)3 5 15 32 43 64 78 109 159 198
43 3 m3.8.8(2)3 5 15 32 43 64 78 109 159 198
44 3 m3.8.8(2)3 5 15 32 43 64 78 109 159 198
45 3 m3.8.8(2)3 5 15 32 43 64 78 109 159 198
46 3 m3.8.8(2)3 5 15 32 43 64 78 109 159 198
47 3 m3.8.8(2)3 5 15 32 43 64 78 109 159 198
48 3 m3.8.8(2)3 5 15 32 43 64 78 109 159 198
49 3 m3.8.8(2)3 5 15 32 43 64 78 109 159 198
50 3 m3.8.8(2)3 5 15 32 43 64 78 109 159 198
51 3 m3.8.8(2)3 5 15 32 43 64 78 109 159 198
52 3 m3.8.8(2)3 5 15 32 43 64 78 109 159 198
53 3 m3.8.8(2)3 5 15 32 43 64 78 109 159 198
54 3 m3.8.8(2)3 5 15 32 43 64 78 109 159 198
55 3 m3.8.8(2)3 5 15 32 43 64 78 109 159 198
56 3 m3.8.8(2)3 5 15 32 43 64 78 109 159 198
57 3 m3.8.8(2)3 5 15 32 43 64 78 109 159 198
58 3 m3.8.8(2)3 5 15 32 43 64 78 109 159 198
59 3 m3.8.8(2)3 5 15 32 43 64 78 109 159 198
60 3 m3.8.8(2)3 5 15 32 43 64 78 109 159 198
61 3 m3.8.8(2)3 5 15 32 43 64 78 109 159 198
62 3 m3.8.8(2)3 5 15 32 43 64 78 109 159 198
63 3 m3.8.8(2)3 5 15 32 43 64 78 109 159 198
64 3 m3.8.8(2)3 5 15 32 43 64 78 109 159 198
65 3 m3.8.8(2)3 5 15 32 43 64 78 109 159 198
66 3 m3.8.8(2)3 5 15 32 43 64 78 109 159 198
67 3 m3.8.8(2)3 5 15 32 43 64 78 109 159 198
68 3 m3.8.8(2)3 5 15 32 43 64 78 109 159 198
69 3 m3.8.8(2)3 5 15 32 43 64 78 109 159 198
70 3 m3.8.8(2)3 5 15 32 43 64 78 109 159 198
71 3 m3.8.8(2)3 5 15 32 43 64 78 109 159 198
72 3 m3.8.8(2)3 5 15 32 43 64 78 109 159 198
73 3 m3.8.8(2)3 5 15 32 43 64 78 109 159 198
74 3 m3.8.8(2)3 5 15 32 43 64 78 109 159 198
75 3 m3.8.8(2)3 5 15 32 43 64 78 109 159 198
76 3 m3.8.8(2)3 5 15 32 43 64 78 109 159 198
77 3 m3.8.8(2)3 5 15 32 43 64 78 109 159 198
78 3 m3.8.8(2)3 5 15 32 43 64 78 109 159 198
79 3 m3.8.8(2)3 5 15 32 43 64 78 109 159 198
80 3 m3.8.8(2)3 5 15 32 43 64 78 109 159 198
81 3 m3.8.8(2)3 5 15 32 43 64 78 109 159 198
82 3 m3.8.8(2)3 5 15 32 43 64 78 109 159 198
83 3 m3.8.8(2)3 5 15 32 43 64 78 109 159 198
84 3 m3.8.8(2)3 5 15 32 43 64 78 109 159 198
85 3 m3.8.8(2)3 5 15 32 43 64 78 109 159 198
86 3 m3.8.8(2)3 5 15 32 43 64 78 109 159 198
87 3 m3.8.8(2)3 5 15 32 43 64 78 109 159 198
88 3 m3.8.8(2)3 5 15 32 43 64 78 109 159 198
89 3 m3.8.8(2)3 5 15 32 43 64 78 109 159 198
90 3 m3.8.8(2)3 5 15 32 43 64 78 109 159 198
91 3 m3.8.8(2)3 5 15 32 43 64 78 109 159 198
92 3 m3.8.8(2)3 5 15 32 43 64 78 109 159 198
93 3 m3.8.8(2)3 5 15 32 43 64 78 109 159 198
94 3 m3.8.8(2)3 5 15 32 43 64 78 109 159 198
95 3 m3.8.8(2)3 5 15 32 43 64 78 109 159 198
96 3 mm23.8(2).8(2)3 6 16 27 38 55 72 108 155 200
97 3 mm23.8(2).8(2)3 6 16 27 38 55 72 108 155 200
98 3 mm23.8(2).8(2)3 6 16 27 38 55 72 108 155 200
99 3 mm23.8(2).8(2)3 6 16 27 38 55 72 108 155 200
100 3 mm23.8(2).8(2)3 6 16 27 38 55 72 108 155 200
101 3 mm23.8(2).8(2)3 6 16 27 38 55 72 108 155 200
102 3 mm23.8(2).8(2)3 6 16 27 38 55 72 108 155 200
103 3 mm23.8(2).8(2)3 6 16 27 38 55 72 108 155 200
104 3 mm23.8(2).8(2)3 6 16 27 38 55 72 108 155 200
105 3 mm23.8(2).8(2)3 6 16 27 38 55 72 108 155 200
106 3 mm23.8(2).8(2)3 6 16 27 38 55 72 108 155 200
107 3 mm23.8(2).8(2)3 6 16 27 38 55 72 108 155 200
108 3 mm23.8(2).8(2)3 6 16 27 38 55 72 108 155 200
109 3 mm23.8(2).8(2)3 6 16 27 38 55 72 108 155 200
110 3 mm23.8(2).8(2)3 6 16 27 38 55 72 108 155 200
111 3 mm23.8(2).8(2)3 6 16 27 38 55 72 108 155 200
112 3 mm23.8(2).8(2)3 6 16 27 38 55 72 108 155 200
113 3 mm23.8(2).8(2)3 6 16 27 38 55 72 108 155 200
114 3 mm23.8(2).8(2)3 6 16 27 38 55 72 108 155 200
115 3 mm23.8(2).8(2)3 6 16 27 38 55 72 108 155 200
116 3 mm23.8(2).8(2)3 6 16 27 38 55 72 108 155 200
117 3 mm23.8(2).8(2)3 6 16 27 38 55 72 108 155 200
118 3 mm23.8(2).8(2)3 6 16 27 38 55 72 108 155 200
119 3 mm23.8(2).8(2)3 6 16 27 38 55 72 108 155 200
120 3 mm23.8(2).8(2)3 6 16 27 38 55 72 108 155 200
121 3 mm23.8(2).8(2)3 6 16 27 38 55 72 108 155 200
122 3 mm23.8(2).8(2)3 6 16 27 38 55 72 108 155 200
123 3 mm23.8(2).8(2)3 6 16 27 38 55 72 108 155 200
124 3 mm23.8(2).8(2)3 6 16 27 38 55 72 108 155 200
125 3 mm23.8(2).8(2)3 6 16 27 38 55 72 108 155 200
126 3 mm23.8(2).8(2)3 6 16 27 38 55 72 108 155 200
127 3 mm23.8(2).8(2)3 6 16 27 38 55 72 108 155 200
128 3 mm23.8(2).8(2)3 6 16 27 38 55 72 108 155 200
129 3 mm23.8(2).8(2)3 6 16 27 38 55 72 108 155 200
130 3 mm23.8(2).8(2)3 6 16 27 38 55 72 108 155 200
131 3 mm23.8(2).8(2)3 6 16 27 38 55 72 108 155 200
132 3 mm23.8(2).8(2)3 6 16 27 38 55 72 108 155 200
133 3 mm23.8(2).8(2)3 6 16 27 38 55 72 108 155 200
134 3 mm23.8(2).8(2)3 6 16 27 38 55 72 108 155 200
135 3 mm23.8(2).8(2)3 6 16 27 38 55 72 108 155 200
136 3 mm23.8(2).8(2)3 6 16 27 38 55 72 108 155 200
137 3 mm23.8(2).8(2)3 6 16 27 38 55 72 108 155 200
138 3 mm23.8(2).8(2)3 6 16 27 38 55 72 108 155 200
139 3 mm23.8(2).8(2)3 6 16 27 38 55 72 108 155 200
140 3 mm23.8(2).8(2)3 6 16 27 38 55 72 108 155 200
141 3 mm23.8(2).8(2)3 6 16 27 38 55 72 108 155 200
142 3 mm23.8(2).8(2)3 6 16 27 38 55 72 108 155 200
143 3 mm23.8(2).8(2)3 6 16 27 38 55 72 108 155 200
144 4 m4.6.6.8.8.84 10 19 31 50 74 105 137 174 213
145 4 m4.6.6.8.8.84 10 19 31 50 74 105 137 174 213
146 4 m4.6.6.8.8.84 10 19 31 50 74 105 137 174 213
147 4 m4.6.6.8.8.84 10 19 31 50 74 105 137 174 213
148 4 m4.6.6.8.8.84 10 19 31 50 74 105 137 174 213
149 4 m4.6.6.8.8.84 10 19 31 50 74 105 137 174 213
150 4 m4.6.6.8.8.84 10 19 31 50 74 105 137 174 213
151 4 m4.6.6.8.8.84 10 19 31 50 74 105 137 174 213
152 4 m4.6.6.8.8.84 10 19 31 50 74 105 137 174 213
153 4 m4.6.6.8.8.84 10 19 31 50 74 105 137 174 213
154 4 m4.6.6.8.8.84 10 19 31 50 74 105 137 174 213
155 4 m4.6.6.8.8.84 10 19 31 50 74 105 137 174 213
156 4 m4.6.6.8.8.84 10 19 31 50 74 105 137 174 213
157 4 m4.6.6.8.8.84 10 19 31 50 74 105 137 174 213
158 4 m4.6.6.8.8.84 10 19 31 50 74 105 137 174 213
159 4 m4.6.6.8.8.84 10 19 31 50 74 105 137 174 213
160 4 m4.6.6.8.8.84 10 19 31 50 74 105 137 174 213
161 4 m4.6.6.8.8.84 10 19 31 50 74 105 137 174 213
162 4 m4.6.6.8.8.84 10 19 31 50 74 105 137 174 213
163 4 m4.6.6.8.8.84 10 19 31 50 74 105 137 174 213
164 4 m4.6.6.8.8.84 10 19 31 50 74 105 137 174 213
165 4 m4.6.6.8.8.84 10 19 31 50 74 105 137 174 213
166 4 m4.6.6.8.8.84 10 19 31 50 74 105 137 174 213
167 4 m4.6.6.8.8.84 10 19 31 50 74 105 137 174 213
168 4 m4.6.6.8.8.84 10 19 31 50 74 105 137 174 213
169 4 m4.6.6.8.8.84 10 19 31 50 74 105 137 174 213
170 4 m4.6.6.8.8.84 10 19 31 50 74 105 137 174 213
171 4 m4.6.6.8.8.84 10 19 31 50 74 105 137 174 213
172 4 m4.6.6.8.8.84 10 19 31 50 74 105 137 174 213
173 4 m4.6.6.8.8.84 10 19 31 50 74 105 137 174 213
174 4 m4.6.6.8.8.84 10 19 31 50 74 105 137 174 213
175 4 m4.6.6.8.8.84 10 19 31 50 74 105 137 174 213
176 4 m4.6.6.8.8.84 10 19 31 50 74 105 137 174 213
177 4 m4.6.6.8.8.84 10 19 31 50 74 105 137 174 213
178 4 m4.6.6.8.8.84 10 19 31 50 74 105 137 174 213
179 4 m4.6.6.8.8.84 10 19 31 50 74 105 137 174 213
180 4 m4.6.6.8.8.84 10 19 31 50 74 105 137 174 213
181 4 m4.6.6.8.8.84 10 19 31 50 74 105 137 174 213
182 4 m4.6.6.8.8.84 10 19 31 50 74 105 137 174 213
183 4 m4.6.6.8.8.84 10 19 31 50 74 105 137 174 213
184 4 m4.6.6.8.8.84 10 19 31 50 74 105 137 174 213
185 4 m4.6.6.8.8.84 10 19 31 50 74 105 137 174 213
186 4 m4.6.6.8.8.84 10 19 31 50 74 105 137 174 213
187 4 m4.6.6.8.8.84 10 19 31 50 74 105 137 174 213
188 4 m4.6.6.8.8.84 10 19 31 50 74 105 137 174 213
189 4 m4.6.6.8.8.84 10 19 31 50 74 105 137 174 213
190 4 m4.6.6.8.8.84 10 19 31 50 74 105 137 174 213
191 4 m4.6.6.8.8.84 10 19 31 50 74 105 137 174 213
192 4 m4.6.6.8.8.84 10 19 31 50 74 105 137 174 213
193 4 m4.6.6.8.8.84 10 19 31 50 74 105 137 174 213
194 4 m4.6.6.8.8.84 10 19 31 50 74 105 137 174 213
195 4 m4.6.6.8.8.84 10 19 31 50 74 105 137 174 213
196 4 m4.6.6.8.8.84 10 19 31 50 74 105 137 174 213
197 4 m4.6.6.8.8.84 10 19 31 50 74 105 137 174 213
198 4 m4.6.6.8.8.84 10 19 31 50 74 105 137 174 213
199 4 m4.6.6.8.8.84 10 19 31 50 74 105 137 174 213
200 4 m4.6.6.8.8.84 10 19 31 50 74 105 137 174 213
201 4 m4.6.6.8.8.84 10 19 31 50 74 105 137 174 213
202 4 m4.6.6.8.8.84 10 19 31 50 74 105 137 174 213
203 4 m4.6.6.8.8.84 10 19 31 50 74 105 137 174 213
204 4 m4.6.6.8.8.84 10 19 31 50 74 105 137 174 213
205 4 m4.6.6.8.8.84 10 19 31 50 74 105 137 174 213
206 4 m4.6.6.8.8.84 10 19 31 50 74 105 137 174 213
207 4 m4.6.6.8.8.84 10 19 31 50 74 105 137 174 213
208 4 m4.6.6.8.8.84 10 19 31 50 74 105 137 174 213
209 4 m4.6.6.8.8.84 10 19 31 50 74 105 137 174 213
210 4 m4.6.6.8.8.84 10 19 31 50 74 105 137 174 213
211 4 m4.6.6.8.8.84 10 19 31 50 74 105 137 174 213
212 4 m4.6.6.8.8.84 10 19 31 50 74 105 137 174 213
213 4 m4.6.6.8.8.84 10 19 31 50 74 105 137 174 213
214 4 m4.6.6.8.8.84 10 19 31 50 74 105 137 174 213
215 4 m4.6.6.8.8.84 10 19 31 50 74 105 137 174 213
216 4 m4.6.6.8.8.84 10 19 31 50 74 105 137 174 213
217 4 m4.6.6.8.8.84 10 19 31 50 74 105 137 174 213
218 4 m4.6.6.8.8.84 10 19 31 50 74 105 137 174 213
219 4 m4.6.6.8.8.84 10 19 31 50 74 105 137 174 213
220 4 m4.6.6.8.8.84 10 19 31 50 74 105 137 174 213
221 4 m4.6.6.8.8.84 10 19 31 50 74 105 137 174 213
222 4 m4.6.6.8.8.84 10 19 31 50 74 105 137 174 213
223 4 m4.6.6.8.8.84 10 19 31 50 74 105 137 174 213
224 4 m4.6.6.8.8.84 10 19 31 50 74 105 137 174 213
225 4 m4.6.6.8.8.84 10 19 31 50 74 105 137 174 213
226 4 m4.6.6.8.8.84 10 19 31 50 74 105 137 174 213
227 4 m4.6.6.8.8.84 10 19 31 50 74 105 137 174 213
228 4 m4.6.6.8.8.84 10 19 31 50 74 105 137 174 213
229 4 m4.6.6.8.8.84 10 19 31 50 74 105 137 174 213
230 4 m4.6.6.8.8.84 10 19 31 50 74 105 137 174 213
231 4 m4.6.6.8.8.84 10 19 31 50 74 105 137 174 213
232 4 m4.6.6.8.8.84 10 19 31 50 74 105 137 174 213
233 4 m4.6.6.8.8.84 10 19 31 50 74 105 137 174 213
234 4 m4.6.6.8.8.84 10 19 31 50 74 105 137 174 213
235 4 m4.6.6.8.8.84 10 19 31 50 74 105 137 174 213
236 4 m4.6.6.8.8.84 10 19 31 50 74 105 137 174 213
237 4 m4.6.6.8.8.84 10 19 31 50 74 105 137 174 213
238 4 m4.6.6.8.8.84 10 19 31 50 74 105 137 174 213
239 4 m4.6.6.8.8.84 10 19 31 50 74 105 137 174 213
240 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 17 23 28 45 79 114 157 182
241 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 17 23 28 45 79 114 157 182
242 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 17 23 28 45 79 114 157 182
243 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 17 23 28 45 79 114 157 182
244 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 17 23 28 45 79 114 157 182
245 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 17 23 28 45 79 114 157 182
246 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 17 23 28 45 79 114 157 182
247 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 17 23 28 45 79 114 157 182
248 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 17 23 28 45 79 114 157 182
249 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 17 23 28 45 79 114 157 182
250 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 17 23 28 45 79 114 157 182
251 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 17 23 28 45 79 114 157 182
252 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 17 23 28 45 79 114 157 182
253 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 17 23 28 45 79 114 157 182
254 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 17 23 28 45 79 114 157 182
255 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 17 23 28 45 79 114 157 182
256 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 17 23 28 45 79 114 157 182
257 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 17 23 28 45 79 114 157 182
258 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 17 23 28 45 79 114 157 182
259 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 17 23 28 45 79 114 157 182
260 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 17 23 28 45 79 114 157 182
261 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 17 23 28 45 79 114 157 182
262 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 17 23 28 45 79 114 157 182
263 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 17 23 28 45 79 114 157 182
264 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 17 23 28 45 79 114 157 182
265 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 17 23 28 45 79 114 157 182
266 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 17 23 28 45 79 114 157 182
267 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 17 23 28 45 79 114 157 182
268 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 17 23 28 45 79 114 157 182
269 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 17 23 28 45 79 114 157 182
270 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 17 23 28 45 79 114 157 182
271 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 17 23 28 45 79 114 157 182
272 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 17 23 28 45 79 114 157 182
273 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 17 23 28 45 79 114 157 182
274 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 17 23 28 45 79 114 157 182
275 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 17 23 28 45 79 114 157 182
276 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 17 23 28 45 79 114 157 182
277 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 17 23 28 45 79 114 157 182
278 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 17 23 28 45 79 114 157 182
279 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 17 23 28 45 79 114 157 182
280 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 17 23 28 45 79 114 157 182
281 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 17 23 28 45 79 114 157 182
282 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 17 23 28 45 79 114 157 182
283 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 17 23 28 45 79 114 157 182
284 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 17 23 28 45 79 114 157 182
285 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 17 23 28 45 79 114 157 182
286 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 17 23 28 45 79 114 157 182
287 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 17 23 28 45 79 114 157 182

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)
dnd-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 7 0 0 0 2 8 0 0 0 2 9 0 0 0 3 10 0 0 0 3 11 0 0 0 3 12 0 0 0 4 5 0 0 0 4 9 0 0 0 4 13 0 0 0 4 14 0 0 0 5 12 0 0 0 5 15 0 0 0 5 16 0 0 0 6 17 0 0 0 6 18 0 0 0 7 9 0 0 0 7 10 0 0 0 7 19 0 0 0 7 20 0 0 0 8 21 0 0 0 8 22 0 0 0 9 13 0 0 0 9 23 0 0 0 10 12 0 0 0 10 20 0 0 0 10 24 0 0 0 11 25 0 0 0 11 26 0 0 0 12 15 0 0 0 12 27 0 0 0 13 15 0 0 0 13 20 0 0 0 13 28 0 0 0 14 29 0 0 0 14 30 0 0 0 15 20 0 0 0 15 31 0 0 0 16 32 0 0 0 16 33 0 0 0 17 18 0 0 0 17 34 0 0 0 18 35 0 0 0 19 36 0 0 0 19 37 0 0 0 20 38 0 0 0 21 22 0 0 0 21 39 0 0 0 22 40 0 0 0 23 41 0 0 0 23 42 0 0 0 24 43 0 0 0 24 44 0 0 0 25 26 0 0 0 25 45 0 0 0 26 46 0 0 0 27 47 0 0 0 27 48 0 0 0 28 49 0 0 0 28 50 0 0 0 29 30 0 0 0 29 51 0 0 0 30 52 0 0 0 31 53 0 0 0 31 54 0 0 0 32 33 0 0 0 32 55 0 0 0 33 56 0 0 0 34 40 0 0 0 34 51 0 0 0 34 57 0 0 0 35 46 0 0 0 35 55 0 0 0 35 58 0 0 0 36 37 0 0 0 36 59 0 0 0 37 60 0 0 0 38 61 0 0 0 38 62 0 0 0 39 45 0 0 0 39 59 0 0 0 39 63 0 0 0 40 64 0 0 0 40 65 0 0 0 41 42 0 0 0 41 66 0 0 0 42 65 0 0 0 43 44 0 0 0 43 67 0 0 0 44 68 0 0 0 45 67 0 0 0 45 69 0 0 0 46 70 0 0 0 46 71 0 0 0 47 48 0 0 0 47 72 0 0 0 48 71 0 0 0 49 50 0 0 0 49 69 1 0 0 50 70 1 0 0 51 65 0 0 0 51 67 0 1 0 52 56 0 0 0 52 68 0 1 0 52 70 1 0 0 53 54 0 0 0 53 63 0 0 1 54 64 0 0 1 55 59 -1 1 1 55 71 0 0 0 56 60 -1 1 1 56 64 0 0 1 57 60 -1 1 0 57 61 -1 1 0 57 69 0 1 0 58 62 -1 1 0 58 63 -1 1 1 58 68 -1 1 0 59 67 0 0 0 60 66 0 0 0 61 62 0 0 0 63 72 0 0 -1 64 70 1 0 -1 65 71 1 0 -1 66 69 1 0 0 66 72 1 0 -1 68 72 0 0 0
Key against the archive (mofplus-deposit)
the same key, character for character
TD10 as Systre prints it (mofplus-deposit)
732
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)
732.3333333333334
Genus (mofplus-deposit)
61
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)
732.3333333333334
Genus (rcsr-archive-key)
61
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)
(3.8^2)3(4.6^2.8^3)2(3^2.4^2.5^2.8^4)
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, 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, 953.8.8(2) 3.8.8(2) 3.8^2 3 5 15 32 43 64 78 109 159 198
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, 1433.8(2).8(2) 3.8(2).8(2) 3.8^2 3 6 16 27 38 55 72 108 155 200
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, 2394.6.6.8.8.8 4.6.6.8.8.8 4.6^2.8^3 4 10 19 31 50 74 105 137 174 213
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, 2873.3.4.4.5(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 17 23 28 45 79 114 157 182

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

Net point symbol (rcsr-archive-key)
(3.8^2)3(4.6^2.8^3)2(3^2.4^2.5^2.8^4)
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, 6, 8, 9, 11, 12, 14, 193.3.4.4.5(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 17 23 28 45 79 114 157 182
5, 7, 10, 13, 15, 18, 22, 23, 26, 27, 30, 373.8(2).8(2) 3.8(2).8(2) 3.8^2 3 6 16 27 38 55 72 108 155 200
16, 17, 20, 21, 24, 25, 28, 29, 31, 32, 35, 36, 40, 41, 42, 43, 46, 47, 48, 49, 52, 53, 60, 613.8.8(2) 3.8.8(2) 3.8^2 3 5 15 32 43 64 78 109 159 198
33, 34, 38, 39, 44, 45, 50, 51, 54, 55, 56, 57, 58, 59, 62, 63, 64, 65, 66, 67, 68, 69, 70, 714.6.6.8.8.8 4.6.6.8.8.8 4.6^2.8^3 4 10 19 31 50 74 105 137 174 213

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
dnd-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
488 (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
2386 The order the ingest processed this net in, simplest first. A different number from the RCSR index above, meaning a different thing.