Net topology

kce-a

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

JSON · mfpx

288 vertices and 480 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
Im-3m (No. 229)
Cell lengths
a = 9.9928 Å, b = 9.9928 Å, c = 9.9928 Å
Cell angles
α = 90.00°, β = 90.00°, γ = 90.00°
Atoms in cell
288
Transitivity pqrs
4, 8, *, *
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 13 0 0 0 5 14 0 0 0 6 15 0 0 0 6 16 0 0 0 7 17 0 0 0 7 18 0 0 0 8 19 0 0 0 8 20 0 0 0 9 18 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 26 0 0 0 12 27 0 0 0 13 14 0 0 0 13 28 0 0 0 14 29 0 0 0 15 16 0 0 0 15 30 0 0 0 16 31 0 0 0 17 32 0 0 0 17 33 0 0 0 18 34 0 0 0 18 35 0 0 0 19 36 0 0 0 19 37 0 0 0 20 35 0 0 0 20 38 0 0 0 21 35 0 0 0 21 39 0 0 0 22 40 0 0 0 22 41 0 0 0 23 24 0 0 0 23 42 0 0 0 24 43 0 0 0 25 44 0 0 0 25 45 0 0 0 26 27 0 0 0 26 46 0 0 0 27 47 0 0 0 28 42 0 0 0 28 48 0 0 0 28 49 0 0 0 29 47 0 0 0 29 50 0 0 0 30 51 0 0 0 30 52 0 0 0 31 53 0 0 0 31 54 0 0 0 31 55 0 0 0 32 33 0 0 0 32 52 0 0 0 33 56 0 0 0 34 57 0 0 0 34 58 0 0 0 35 59 0 0 0 36 37 0 0 0 36 60 0 0 0 37 54 0 0 0 38 61 0 0 0 38 62 0 0 0 39 63 0 0 0 39 64 0 0 0 40 41 0 0 0 40 65 0 0 0 41 66 0 0 0 42 67 0 0 0 42 68 0 0 0 43 66 0 0 0 43 69 0 0 0 44 45 0 0 0 44 70 0 0 0 45 71 0 0 0 46 70 0 0 0 46 72 0 0 0 46 73 0 0 0 47 74 0 0 0 48 67 0 0 0 48 75 0 0 0 48 76 0 0 0 49 76 0 0 0 49 77 0 0 0 49 78 0 0 0 50 74 0 0 0 50 79 0 0 0 51 80 0 0 0 51 81 0 0 0 52 81 0 0 0 53 82 0 0 0 53 83 0 0 0 53 84 0 0 0 54 85 0 0 0 54 86 0 0 0 55 84 0 0 0 55 86 0 0 0 55 87 0 0 0 56 88 0 0 0 56 89 0 0 0 56 90 0 0 0 57 58 0 0 0 57 91 0 0 0 58 89 0 0 0 59 92 0 0 0 59 93 0 0 0 60 94 0 0 0 60 95 0 0 0 61 62 0 0 0 61 95 0 0 0 62 96 0 0 0 63 64 0 0 0 63 97 0 0 0 64 98 0 0 0 65 82 2 -1 0 65 84 2 -1 0 65 97 0 0 0 66 99 0 0 0 67 100 0 0 0 67 101 0 0 0 68 101 0 0 0 68 102 0 0 0 68 103 0 0 0 69 99 0 0 0 69 104 0 0 0 70 105 0 0 0 70 106 0 0 0 71 98 0 0 0 71 107 0 0 0 72 88 0 1 -1 72 105 0 0 0 72 108 0 0 0 73 88 0 1 -1 73 90 0 1 -1 73 109 0 0 0 74 110 0 0 0 75 111 0 0 0 75 112 0 0 0 76 96 0 0 1 76 113 0 0 0 77 79 0 0 0 77 114 0 0 0 78 96 0 0 1 78 103 0 0 0 78 115 0 0 0 79 114 0 0 0 80 83 0 0 0 80 115 -1 0 0 81 116 0 0 0 82 114 -1 0 0 82 117 0 0 0 83 115 -1 0 0 84 118 0 0 0 85 117 0 0 0 85 119 0 0 0 85 120 0 0 0 86 120 0 0 0 86 121 0 0 0 87 122 0 0 0 87 123 0 0 0 88 124 0 0 0 89 125 0 0 0 89 126 0 0 0 90 126 0 0 0 90 127 0 0 0 91 128 0 0 0 91 129 0 0 0 92 93 0 0 0 92 129 0 0 0 93 130 0 0 0 94 131 0 0 0 94 132 0 0 0 95 132 0 0 0 96 130 0 0 0 97 117 2 -1 0 97 120 2 -1 0 98 133 0 0 0 99 134 0 0 0 100 135 0 0 0 100 136 0 0 0 101 130 0 0 1 101 137 0 0 0 102 104 0 0 0 102 108 1 -1 1 103 130 0 0 1 103 138 0 0 0 104 108 1 -1 1 105 125 0 1 -1 105 139 0 0 0 106 112 1 0 -1 106 125 0 1 -1 106 126 0 1 -1 107 111 1 0 -1 107 133 0 0 0 109 110 0 0 0 109 140 0 0 0 110 140 0 0 0 111 112 0 0 0 113 141 0 0 0 113 142 0 0 0 116 124 0 0 0 116 138 -1 0 0 117 140 -1 0 0 118 134 -2 1 0 118 139 -1 0 1 119 127 -1 1 -1 119 131 0 0 0 120 136 -1 1 -1 121 137 -1 1 -1 121 143 0 0 0 122 123 0 0 0 122 125 -1 1 0 123 128 -1 1 0 124 138 -1 0 0 126 141 1 -1 0 127 131 1 -1 1 128 144 0 0 0 129 144 0 0 0 132 142 0 0 -1 133 135 1 0 -1 134 139 1 -1 1 135 136 0 0 0 137 143 1 -1 1 141 142 0 0 0 143 144 -1 1 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
4b9c06d1c52974d36af1e7e231a2f90a (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 Im-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 13.8.83 5 12 21 27 38 47 68 91 113
1 3 13.8.83 5 12 21 27 38 47 68 91 113
2 3 13.8.83 5 12 21 27 38 47 68 91 113
3 3 13.8.83 5 12 21 27 38 47 68 91 113
4 3 13.8.83 5 12 21 27 38 47 68 91 113
5 3 13.8.83 5 12 21 27 38 47 68 91 113
6 3 13.8.83 5 12 21 27 38 47 68 91 113
7 3 13.8.83 5 12 21 27 38 47 68 91 113
8 3 13.8.83 5 12 21 27 38 47 68 91 113
9 3 13.8.83 5 12 21 27 38 47 68 91 113
10 3 13.8.83 5 12 21 27 38 47 68 91 113
11 3 13.8.83 5 12 21 27 38 47 68 91 113
12 3 13.8.83 5 12 21 27 38 47 68 91 113
13 3 13.8.83 5 12 21 27 38 47 68 91 113
14 3 13.8.83 5 12 21 27 38 47 68 91 113
15 3 13.8.83 5 12 21 27 38 47 68 91 113
16 3 13.8.83 5 12 21 27 38 47 68 91 113
17 3 13.8.83 5 12 21 27 38 47 68 91 113
18 3 13.8.83 5 12 21 27 38 47 68 91 113
19 3 13.8.83 5 12 21 27 38 47 68 91 113
20 3 13.8.83 5 12 21 27 38 47 68 91 113
21 3 13.8.83 5 12 21 27 38 47 68 91 113
22 3 13.8.83 5 12 21 27 38 47 68 91 113
23 3 13.8.83 5 12 21 27 38 47 68 91 113
24 3 13.8.83 5 12 21 27 38 47 68 91 113
25 3 13.8.83 5 12 21 27 38 47 68 91 113
26 3 13.8.83 5 12 21 27 38 47 68 91 113
27 3 13.8.83 5 12 21 27 38 47 68 91 113
28 3 13.8.83 5 12 21 27 38 47 68 91 113
29 3 13.8.83 5 12 21 27 38 47 68 91 113
30 3 13.8.83 5 12 21 27 38 47 68 91 113
31 3 13.8.83 5 12 21 27 38 47 68 91 113
32 3 13.8.83 5 12 21 27 38 47 68 91 113
33 3 13.8.83 5 12 21 27 38 47 68 91 113
34 3 13.8.83 5 12 21 27 38 47 68 91 113
35 3 13.8.83 5 12 21 27 38 47 68 91 113
36 3 13.8.83 5 12 21 27 38 47 68 91 113
37 3 13.8.83 5 12 21 27 38 47 68 91 113
38 3 13.8.83 5 12 21 27 38 47 68 91 113
39 3 13.8.83 5 12 21 27 38 47 68 91 113
40 3 13.8.83 5 12 21 27 38 47 68 91 113
41 3 13.8.83 5 12 21 27 38 47 68 91 113
42 3 13.8.83 5 12 21 27 38 47 68 91 113
43 3 13.8.83 5 12 21 27 38 47 68 91 113
44 3 13.8.83 5 12 21 27 38 47 68 91 113
45 3 13.8.83 5 12 21 27 38 47 68 91 113
46 3 13.8.83 5 12 21 27 38 47 68 91 113
47 3 13.8.83 5 12 21 27 38 47 68 91 113
48 3 13.8.83 5 12 21 27 38 47 68 91 113
49 3 13.8.83 5 12 21 27 38 47 68 91 113
50 3 13.8.83 5 12 21 27 38 47 68 91 113
51 3 13.8.83 5 12 21 27 38 47 68 91 113
52 3 13.8.83 5 12 21 27 38 47 68 91 113
53 3 13.8.83 5 12 21 27 38 47 68 91 113
54 3 13.8.83 5 12 21 27 38 47 68 91 113
55 3 13.8.83 5 12 21 27 38 47 68 91 113
56 3 13.8.83 5 12 21 27 38 47 68 91 113
57 3 13.8.83 5 12 21 27 38 47 68 91 113
58 3 13.8.83 5 12 21 27 38 47 68 91 113
59 3 13.8.83 5 12 21 27 38 47 68 91 113
60 3 13.8.83 5 12 21 27 38 47 68 91 113
61 3 13.8.83 5 12 21 27 38 47 68 91 113
62 3 13.8.83 5 12 21 27 38 47 68 91 113
63 3 13.8.83 5 12 21 27 38 47 68 91 113
64 3 13.8.83 5 12 21 27 38 47 68 91 113
65 3 13.8.83 5 12 21 27 38 47 68 91 113
66 3 13.8.83 5 12 21 27 38 47 68 91 113
67 3 13.8.83 5 12 21 27 38 47 68 91 113
68 3 13.8.83 5 12 21 27 38 47 68 91 113
69 3 13.8.83 5 12 21 27 38 47 68 91 113
70 3 13.8.83 5 12 21 27 38 47 68 91 113
71 3 13.8.83 5 12 21 27 38 47 68 91 113
72 3 13.8.83 5 12 21 27 38 47 68 91 113
73 3 13.8.83 5 12 21 27 38 47 68 91 113
74 3 13.8.83 5 12 21 27 38 47 68 91 113
75 3 13.8.83 5 12 21 27 38 47 68 91 113
76 3 13.8.83 5 12 21 27 38 47 68 91 113
77 3 13.8.83 5 12 21 27 38 47 68 91 113
78 3 13.8.83 5 12 21 27 38 47 68 91 113
79 3 13.8.83 5 12 21 27 38 47 68 91 113
80 3 13.8.83 5 12 21 27 38 47 68 91 113
81 3 13.8.83 5 12 21 27 38 47 68 91 113
82 3 13.8.83 5 12 21 27 38 47 68 91 113
83 3 13.8.83 5 12 21 27 38 47 68 91 113
84 3 13.8.83 5 12 21 27 38 47 68 91 113
85 3 13.8.83 5 12 21 27 38 47 68 91 113
86 3 13.8.83 5 12 21 27 38 47 68 91 113
87 3 13.8.83 5 12 21 27 38 47 68 91 113
88 3 13.8.83 5 12 21 27 38 47 68 91 113
89 3 13.8.83 5 12 21 27 38 47 68 91 113
90 3 13.8.83 5 12 21 27 38 47 68 91 113
91 3 13.8.83 5 12 21 27 38 47 68 91 113
92 3 13.8.83 5 12 21 27 38 47 68 91 113
93 3 13.8.83 5 12 21 27 38 47 68 91 113
94 3 13.8.83 5 12 21 27 38 47 68 91 113
95 3 13.8.83 5 12 21 27 38 47 68 91 113
96 3 m3.8.83 4 9 17 23 35 44 63 85 108
97 3 m3.8.83 4 9 17 23 35 44 63 85 108
98 3 m3.8.83 4 9 17 23 35 44 63 85 108
99 3 m3.8.83 4 9 17 23 35 44 63 85 108
100 3 m3.8.83 4 9 17 23 35 44 63 85 108
101 3 m3.8.83 4 9 17 23 35 44 63 85 108
102 3 m3.8.83 4 9 17 23 35 44 63 85 108
103 3 m3.8.83 4 9 17 23 35 44 63 85 108
104 3 m3.8.83 4 9 17 23 35 44 63 85 108
105 3 m3.8.83 4 9 17 23 35 44 63 85 108
106 3 m3.8.83 4 9 17 23 35 44 63 85 108
107 3 m3.8.83 4 9 17 23 35 44 63 85 108
108 3 m3.8.83 4 9 17 23 35 44 63 85 108
109 3 m3.8.83 4 9 17 23 35 44 63 85 108
110 3 m3.8.83 4 9 17 23 35 44 63 85 108
111 3 m3.8.83 4 9 17 23 35 44 63 85 108
112 3 m3.8.83 4 9 17 23 35 44 63 85 108
113 3 m3.8.83 4 9 17 23 35 44 63 85 108
114 3 m3.8.83 4 9 17 23 35 44 63 85 108
115 3 m3.8.83 4 9 17 23 35 44 63 85 108
116 3 m3.8.83 4 9 17 23 35 44 63 85 108
117 3 m3.8.83 4 9 17 23 35 44 63 85 108
118 3 m3.8.83 4 9 17 23 35 44 63 85 108
119 3 m3.8.83 4 9 17 23 35 44 63 85 108
120 3 m3.8.83 4 9 17 23 35 44 63 85 108
121 3 m3.8.83 4 9 17 23 35 44 63 85 108
122 3 m3.8.83 4 9 17 23 35 44 63 85 108
123 3 m3.8.83 4 9 17 23 35 44 63 85 108
124 3 m3.8.83 4 9 17 23 35 44 63 85 108
125 3 m3.8.83 4 9 17 23 35 44 63 85 108
126 3 m3.8.83 4 9 17 23 35 44 63 85 108
127 3 m3.8.83 4 9 17 23 35 44 63 85 108
128 3 m3.8.83 4 9 17 23 35 44 63 85 108
129 3 m3.8.83 4 9 17 23 35 44 63 85 108
130 3 m3.8.83 4 9 17 23 35 44 63 85 108
131 3 m3.8.83 4 9 17 23 35 44 63 85 108
132 3 m3.8.83 4 9 17 23 35 44 63 85 108
133 3 m3.8.83 4 9 17 23 35 44 63 85 108
134 3 m3.8.83 4 9 17 23 35 44 63 85 108
135 3 m3.8.83 4 9 17 23 35 44 63 85 108
136 3 m3.8.83 4 9 17 23 35 44 63 85 108
137 3 m3.8.83 4 9 17 23 35 44 63 85 108
138 3 m3.8.83 4 9 17 23 35 44 63 85 108
139 3 m3.8.83 4 9 17 23 35 44 63 85 108
140 3 m3.8.83 4 9 17 23 35 44 63 85 108
141 3 m3.8.83 4 9 17 23 35 44 63 85 108
142 3 m3.8.83 4 9 17 23 35 44 63 85 108
143 3 m3.8.83 4 9 17 23 35 44 63 85 108
144 3 m4.8.83 5 7 10 18 31 45 59 76 102
145 3 m4.8.83 5 7 10 18 31 45 59 76 102
146 3 m4.8.83 5 7 10 18 31 45 59 76 102
147 3 m4.8.83 5 7 10 18 31 45 59 76 102
148 3 m4.8.83 5 7 10 18 31 45 59 76 102
149 3 m4.8.83 5 7 10 18 31 45 59 76 102
150 3 m4.8.83 5 7 10 18 31 45 59 76 102
151 3 m4.8.83 5 7 10 18 31 45 59 76 102
152 3 m4.8.83 5 7 10 18 31 45 59 76 102
153 3 m4.8.83 5 7 10 18 31 45 59 76 102
154 3 m4.8.83 5 7 10 18 31 45 59 76 102
155 3 m4.8.83 5 7 10 18 31 45 59 76 102
156 3 m4.8.83 5 7 10 18 31 45 59 76 102
157 3 m4.8.83 5 7 10 18 31 45 59 76 102
158 3 m4.8.83 5 7 10 18 31 45 59 76 102
159 3 m4.8.83 5 7 10 18 31 45 59 76 102
160 3 m4.8.83 5 7 10 18 31 45 59 76 102
161 3 m4.8.83 5 7 10 18 31 45 59 76 102
162 3 m4.8.83 5 7 10 18 31 45 59 76 102
163 3 m4.8.83 5 7 10 18 31 45 59 76 102
164 3 m4.8.83 5 7 10 18 31 45 59 76 102
165 3 m4.8.83 5 7 10 18 31 45 59 76 102
166 3 m4.8.83 5 7 10 18 31 45 59 76 102
167 3 m4.8.83 5 7 10 18 31 45 59 76 102
168 3 m4.8.83 5 7 10 18 31 45 59 76 102
169 3 m4.8.83 5 7 10 18 31 45 59 76 102
170 3 m4.8.83 5 7 10 18 31 45 59 76 102
171 3 m4.8.83 5 7 10 18 31 45 59 76 102
172 3 m4.8.83 5 7 10 18 31 45 59 76 102
173 3 m4.8.83 5 7 10 18 31 45 59 76 102
174 3 m4.8.83 5 7 10 18 31 45 59 76 102
175 3 m4.8.83 5 7 10 18 31 45 59 76 102
176 3 m4.8.83 5 7 10 18 31 45 59 76 102
177 3 m4.8.83 5 7 10 18 31 45 59 76 102
178 3 m4.8.83 5 7 10 18 31 45 59 76 102
179 3 m4.8.83 5 7 10 18 31 45 59 76 102
180 3 m4.8.83 5 7 10 18 31 45 59 76 102
181 3 m4.8.83 5 7 10 18 31 45 59 76 102
182 3 m4.8.83 5 7 10 18 31 45 59 76 102
183 3 m4.8.83 5 7 10 18 31 45 59 76 102
184 3 m4.8.83 5 7 10 18 31 45 59 76 102
185 3 m4.8.83 5 7 10 18 31 45 59 76 102
186 3 m4.8.83 5 7 10 18 31 45 59 76 102
187 3 m4.8.83 5 7 10 18 31 45 59 76 102
188 3 m4.8.83 5 7 10 18 31 45 59 76 102
189 3 m4.8.83 5 7 10 18 31 45 59 76 102
190 3 m4.8.83 5 7 10 18 31 45 59 76 102
191 3 m4.8.83 5 7 10 18 31 45 59 76 102
192 4 14.4.6(2).8.8.10(2)4 9 15 21 29 41 57 75 93 113
193 4 14.4.6(2).8.8.10(2)4 9 15 21 29 41 57 75 93 113
194 4 14.4.6(2).8.8.10(2)4 9 15 21 29 41 57 75 93 113
195 4 14.4.6(2).8.8.10(2)4 9 15 21 29 41 57 75 93 113
196 4 14.4.6(2).8.8.10(2)4 9 15 21 29 41 57 75 93 113
197 4 14.4.6(2).8.8.10(2)4 9 15 21 29 41 57 75 93 113
198 4 14.4.6(2).8.8.10(2)4 9 15 21 29 41 57 75 93 113
199 4 14.4.6(2).8.8.10(2)4 9 15 21 29 41 57 75 93 113
200 4 14.4.6(2).8.8.10(2)4 9 15 21 29 41 57 75 93 113
201 4 14.4.6(2).8.8.10(2)4 9 15 21 29 41 57 75 93 113
202 4 14.4.6(2).8.8.10(2)4 9 15 21 29 41 57 75 93 113
203 4 14.4.6(2).8.8.10(2)4 9 15 21 29 41 57 75 93 113
204 4 14.4.6(2).8.8.10(2)4 9 15 21 29 41 57 75 93 113
205 4 14.4.6(2).8.8.10(2)4 9 15 21 29 41 57 75 93 113
206 4 14.4.6(2).8.8.10(2)4 9 15 21 29 41 57 75 93 113
207 4 14.4.6(2).8.8.10(2)4 9 15 21 29 41 57 75 93 113
208 4 14.4.6(2).8.8.10(2)4 9 15 21 29 41 57 75 93 113
209 4 14.4.6(2).8.8.10(2)4 9 15 21 29 41 57 75 93 113
210 4 14.4.6(2).8.8.10(2)4 9 15 21 29 41 57 75 93 113
211 4 14.4.6(2).8.8.10(2)4 9 15 21 29 41 57 75 93 113
212 4 14.4.6(2).8.8.10(2)4 9 15 21 29 41 57 75 93 113
213 4 14.4.6(2).8.8.10(2)4 9 15 21 29 41 57 75 93 113
214 4 14.4.6(2).8.8.10(2)4 9 15 21 29 41 57 75 93 113
215 4 14.4.6(2).8.8.10(2)4 9 15 21 29 41 57 75 93 113
216 4 14.4.6(2).8.8.10(2)4 9 15 21 29 41 57 75 93 113
217 4 14.4.6(2).8.8.10(2)4 9 15 21 29 41 57 75 93 113
218 4 14.4.6(2).8.8.10(2)4 9 15 21 29 41 57 75 93 113
219 4 14.4.6(2).8.8.10(2)4 9 15 21 29 41 57 75 93 113
220 4 14.4.6(2).8.8.10(2)4 9 15 21 29 41 57 75 93 113
221 4 14.4.6(2).8.8.10(2)4 9 15 21 29 41 57 75 93 113
222 4 14.4.6(2).8.8.10(2)4 9 15 21 29 41 57 75 93 113
223 4 14.4.6(2).8.8.10(2)4 9 15 21 29 41 57 75 93 113
224 4 14.4.6(2).8.8.10(2)4 9 15 21 29 41 57 75 93 113
225 4 14.4.6(2).8.8.10(2)4 9 15 21 29 41 57 75 93 113
226 4 14.4.6(2).8.8.10(2)4 9 15 21 29 41 57 75 93 113
227 4 14.4.6(2).8.8.10(2)4 9 15 21 29 41 57 75 93 113
228 4 14.4.6(2).8.8.10(2)4 9 15 21 29 41 57 75 93 113
229 4 14.4.6(2).8.8.10(2)4 9 15 21 29 41 57 75 93 113
230 4 14.4.6(2).8.8.10(2)4 9 15 21 29 41 57 75 93 113
231 4 14.4.6(2).8.8.10(2)4 9 15 21 29 41 57 75 93 113
232 4 14.4.6(2).8.8.10(2)4 9 15 21 29 41 57 75 93 113
233 4 14.4.6(2).8.8.10(2)4 9 15 21 29 41 57 75 93 113
234 4 14.4.6(2).8.8.10(2)4 9 15 21 29 41 57 75 93 113
235 4 14.4.6(2).8.8.10(2)4 9 15 21 29 41 57 75 93 113
236 4 14.4.6(2).8.8.10(2)4 9 15 21 29 41 57 75 93 113
237 4 14.4.6(2).8.8.10(2)4 9 15 21 29 41 57 75 93 113
238 4 14.4.6(2).8.8.10(2)4 9 15 21 29 41 57 75 93 113
239 4 14.4.6(2).8.8.10(2)4 9 15 21 29 41 57 75 93 113
240 4 14.4.6(2).8.8.10(2)4 9 15 21 29 41 57 75 93 113
241 4 14.4.6(2).8.8.10(2)4 9 15 21 29 41 57 75 93 113
242 4 14.4.6(2).8.8.10(2)4 9 15 21 29 41 57 75 93 113
243 4 14.4.6(2).8.8.10(2)4 9 15 21 29 41 57 75 93 113
244 4 14.4.6(2).8.8.10(2)4 9 15 21 29 41 57 75 93 113
245 4 14.4.6(2).8.8.10(2)4 9 15 21 29 41 57 75 93 113
246 4 14.4.6(2).8.8.10(2)4 9 15 21 29 41 57 75 93 113
247 4 14.4.6(2).8.8.10(2)4 9 15 21 29 41 57 75 93 113
248 4 14.4.6(2).8.8.10(2)4 9 15 21 29 41 57 75 93 113
249 4 14.4.6(2).8.8.10(2)4 9 15 21 29 41 57 75 93 113
250 4 14.4.6(2).8.8.10(2)4 9 15 21 29 41 57 75 93 113
251 4 14.4.6(2).8.8.10(2)4 9 15 21 29 41 57 75 93 113
252 4 14.4.6(2).8.8.10(2)4 9 15 21 29 41 57 75 93 113
253 4 14.4.6(2).8.8.10(2)4 9 15 21 29 41 57 75 93 113
254 4 14.4.6(2).8.8.10(2)4 9 15 21 29 41 57 75 93 113
255 4 14.4.6(2).8.8.10(2)4 9 15 21 29 41 57 75 93 113
256 4 14.4.6(2).8.8.10(2)4 9 15 21 29 41 57 75 93 113
257 4 14.4.6(2).8.8.10(2)4 9 15 21 29 41 57 75 93 113
258 4 14.4.6(2).8.8.10(2)4 9 15 21 29 41 57 75 93 113
259 4 14.4.6(2).8.8.10(2)4 9 15 21 29 41 57 75 93 113
260 4 14.4.6(2).8.8.10(2)4 9 15 21 29 41 57 75 93 113
261 4 14.4.6(2).8.8.10(2)4 9 15 21 29 41 57 75 93 113
262 4 14.4.6(2).8.8.10(2)4 9 15 21 29 41 57 75 93 113
263 4 14.4.6(2).8.8.10(2)4 9 15 21 29 41 57 75 93 113
264 4 14.4.6(2).8.8.10(2)4 9 15 21 29 41 57 75 93 113
265 4 14.4.6(2).8.8.10(2)4 9 15 21 29 41 57 75 93 113
266 4 14.4.6(2).8.8.10(2)4 9 15 21 29 41 57 75 93 113
267 4 14.4.6(2).8.8.10(2)4 9 15 21 29 41 57 75 93 113
268 4 14.4.6(2).8.8.10(2)4 9 15 21 29 41 57 75 93 113
269 4 14.4.6(2).8.8.10(2)4 9 15 21 29 41 57 75 93 113
270 4 14.4.6(2).8.8.10(2)4 9 15 21 29 41 57 75 93 113
271 4 14.4.6(2).8.8.10(2)4 9 15 21 29 41 57 75 93 113
272 4 14.4.6(2).8.8.10(2)4 9 15 21 29 41 57 75 93 113
273 4 14.4.6(2).8.8.10(2)4 9 15 21 29 41 57 75 93 113
274 4 14.4.6(2).8.8.10(2)4 9 15 21 29 41 57 75 93 113
275 4 14.4.6(2).8.8.10(2)4 9 15 21 29 41 57 75 93 113
276 4 14.4.6(2).8.8.10(2)4 9 15 21 29 41 57 75 93 113
277 4 14.4.6(2).8.8.10(2)4 9 15 21 29 41 57 75 93 113
278 4 14.4.6(2).8.8.10(2)4 9 15 21 29 41 57 75 93 113
279 4 14.4.6(2).8.8.10(2)4 9 15 21 29 41 57 75 93 113
280 4 14.4.6(2).8.8.10(2)4 9 15 21 29 41 57 75 93 113
281 4 14.4.6(2).8.8.10(2)4 9 15 21 29 41 57 75 93 113
282 4 14.4.6(2).8.8.10(2)4 9 15 21 29 41 57 75 93 113
283 4 14.4.6(2).8.8.10(2)4 9 15 21 29 41 57 75 93 113
284 4 14.4.6(2).8.8.10(2)4 9 15 21 29 41 57 75 93 113
285 4 14.4.6(2).8.8.10(2)4 9 15 21 29 41 57 75 93 113
286 4 14.4.6(2).8.8.10(2)4 9 15 21 29 41 57 75 93 113
287 4 14.4.6(2).8.8.10(2)4 9 15 21 29 41 57 75 93 113

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)
Im-3m (No. 229)
Transitivity p, q (mofplus-deposit)
4, 8 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)
2
RCSR identification (mofplus-deposit)
kce-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 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 13 0 0 0 5 14 0 0 0 6 15 0 0 0 6 16 0 0 0 7 17 0 0 0 7 18 0 0 0 8 19 0 0 0 8 20 0 0 0 9 18 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 26 0 0 0 12 27 0 0 0 13 14 0 0 0 13 28 0 0 0 14 29 0 0 0 15 16 0 0 0 15 30 0 0 0 16 31 0 0 0 17 32 0 0 0 17 33 0 0 0 18 34 0 0 0 18 35 0 0 0 19 36 0 0 0 19 37 0 0 0 20 35 0 0 0 20 38 0 0 0 21 35 0 0 0 21 39 0 0 0 22 40 0 0 0 22 41 0 0 0 23 24 0 0 0 23 42 0 0 0 24 43 0 0 0 25 44 0 0 0 25 45 0 0 0 26 27 0 0 0 26 46 0 0 0 27 47 0 0 0 28 42 0 0 0 28 48 0 0 0 28 49 0 0 0 29 47 0 0 0 29 50 0 0 0 30 51 0 0 0 30 52 0 0 0 31 53 0 0 0 31 54 0 0 0 31 55 0 0 0 32 33 0 0 0 32 52 0 0 0 33 56 0 0 0 34 57 0 0 0 34 58 0 0 0 35 59 0 0 0 36 37 0 0 0 36 60 0 0 0 37 54 0 0 0 38 61 0 0 0 38 62 0 0 0 39 63 0 0 0 39 64 0 0 0 40 41 0 0 0 40 65 0 0 0 41 66 0 0 0 42 67 0 0 0 42 68 0 0 0 43 66 0 0 0 43 69 0 0 0 44 45 0 0 0 44 70 0 0 0 45 71 0 0 0 46 70 0 0 0 46 72 0 0 0 46 73 0 0 0 47 74 0 0 0 48 67 0 0 0 48 75 0 0 0 48 76 0 0 0 49 76 0 0 0 49 77 0 0 0 49 78 0 0 0 50 74 0 0 0 50 79 0 0 0 51 80 0 0 0 51 81 0 0 0 52 81 0 0 0 53 82 0 0 0 53 83 0 0 0 53 84 0 0 0 54 85 0 0 0 54 86 0 0 0 55 84 0 0 0 55 86 0 0 0 55 87 0 0 0 56 88 0 0 0 56 89 0 0 0 56 90 0 0 0 57 58 0 0 0 57 91 0 0 0 58 89 0 0 0 59 92 0 0 0 59 93 0 0 0 60 94 0 0 0 60 95 0 0 0 61 62 0 0 0 61 95 0 0 0 62 96 0 0 0 63 64 0 0 0 63 97 0 0 0 64 98 0 0 0 65 82 2 -1 0 65 84 2 -1 0 65 97 0 0 0 66 99 0 0 0 67 100 0 0 0 67 101 0 0 0 68 101 0 0 0 68 102 0 0 0 68 103 0 0 0 69 99 0 0 0 69 104 0 0 0 70 105 0 0 0 70 106 0 0 0 71 98 0 0 0 71 107 0 0 0 72 88 0 1 -1 72 105 0 0 0 72 108 0 0 0 73 88 0 1 -1 73 90 0 1 -1 73 109 0 0 0 74 110 0 0 0 75 111 0 0 0 75 112 0 0 0 76 96 0 0 1 76 113 0 0 0 77 79 0 0 0 77 114 0 0 0 78 96 0 0 1 78 103 0 0 0 78 115 0 0 0 79 114 0 0 0 80 83 0 0 0 80 115 -1 0 0 81 116 0 0 0 82 114 -1 0 0 82 117 0 0 0 83 115 -1 0 0 84 118 0 0 0 85 117 0 0 0 85 119 0 0 0 85 120 0 0 0 86 120 0 0 0 86 121 0 0 0 87 122 0 0 0 87 123 0 0 0 88 124 0 0 0 89 125 0 0 0 89 126 0 0 0 90 126 0 0 0 90 127 0 0 0 91 128 0 0 0 91 129 0 0 0 92 93 0 0 0 92 129 0 0 0 93 130 0 0 0 94 131 0 0 0 94 132 0 0 0 95 132 0 0 0 96 130 0 0 0 97 117 2 -1 0 97 120 2 -1 0 98 133 0 0 0 99 134 0 0 0 100 135 0 0 0 100 136 0 0 0 101 130 0 0 1 101 137 0 0 0 102 104 0 0 0 102 108 1 -1 1 103 130 0 0 1 103 138 0 0 0 104 108 1 -1 1 105 125 0 1 -1 105 139 0 0 0 106 112 1 0 -1 106 125 0 1 -1 106 126 0 1 -1 107 111 1 0 -1 107 133 0 0 0 109 110 0 0 0 109 140 0 0 0 110 140 0 0 0 111 112 0 0 0 113 141 0 0 0 113 142 0 0 0 116 124 0 0 0 116 138 -1 0 0 117 140 -1 0 0 118 134 -2 1 0 118 139 -1 0 1 119 127 -1 1 -1 119 131 0 0 0 120 136 -1 1 -1 121 137 -1 1 -1 121 143 0 0 0 122 123 0 0 0 122 125 -1 1 0 123 128 -1 1 0 124 138 -1 0 0 126 141 1 -1 0 127 131 1 -1 1 128 144 0 0 0 129 144 0 0 0 132 142 0 0 -1 133 135 1 0 -1 134 139 1 -1 1 135 136 0 0 0 137 143 1 -1 1 141 142 0 0 0 143 144 -1 1 0
Key against the archive (mofplus-deposit)
the same key, character for character
TD10 as Systre prints it (mofplus-deposit)
420
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)
419.5
Genus (mofplus-deposit)
97
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)
419.5
Genus (rcsr-archive-key)
97
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(4.8^2)(4^2.6.8^2.10)2
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 3.8.8 3.8^2 3 5 12 21 27 38 47 68 91 113
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, 1433.8.8 3.8.8 3.8^2 3 4 9 17 23 35 44 63 85 108
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, 1914.8.8 4.8.8 4.8^2 3 5 7 10 18 31 45 59 76 102
192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 2874.4.6(2).8.8.10(2) 4.4.6.8.8.16 4^2.6.8^2.10 4 9 15 21 29 41 57 75 93 113

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

Net point symbol (rcsr-archive-key)
(3.8^2)3(4.8^2)(4^2.6.8^2.10)2
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, 6, 7, 8, 10, 17, 19, 20, 27, 30, 34, 41, 45, 47, 48, 52, 53, 54, 55, 64, 66, 67, 69, 71, 72, 75, 77, 81, 83, 84, 85, 87, 88, 89, 95, 96, 100, 102, 104, 105, 116, 119, 124, 125, 1294.4.6(2).8.8.10(2) 4.4.6.8.8.16 4^2.6.8^2.10 4 9 15 21 29 41 57 75 93 113
4, 5, 9, 11, 12, 15, 16, 18, 21, 22, 24, 25, 32, 33, 36, 37, 38, 39, 43, 57, 58, 61, 62, 74, 76, 82, 86, 92, 99, 101, 107, 108, 111, 112, 113, 114, 117, 118, 120, 121, 123, 126, 135, 136, 137, 138, 139, 1403.8.8 3.8.8 3.8^2 3 5 12 21 27 38 47 68 91 113
13, 14, 23, 26, 31, 35, 40, 44, 56, 60, 63, 78, 79, 91, 103, 109, 110, 115, 122, 130, 133, 134, 141, 1423.8.8 3.8.8 3.8^2 3 4 9 17 23 35 44 63 85 108
28, 29, 42, 46, 49, 50, 51, 59, 65, 68, 70, 73, 80, 90, 93, 94, 97, 98, 106, 127, 128, 131, 132, 1434.8.8 4.8.8 4.8^2 3 5 7 10 18 31 45 59 76 102

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
kce-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
1087 (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
2381 The order the ingest processed this net in, simplest first. A different number from the RCSR index above, meaning a different thing.