Net topology

tsc

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

JSON · mfpx

384 vertices and 768 edges in the unit cell. 48 of them leave the cell and continue into a neighbouring one; those are drawn in the accent colour and end at a hollow node. Squares are vertices of coordination 5 or more, circles of 4 or fewer. Drag to rotate, or focus the figure and use the arrow keys.

Crystallographic description

Spacegroup
Fm-3m (No. 225)
Cell lengths
a = 9.9669 Å, b = 9.9669 Å, c = 9.9669 Å
Cell angles
α = 90.00°, β = 90.00°, γ = 90.00°
Atoms in cell
384
Transitivity pqrs
2, 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 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 16 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 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 34 0 0 0 16 35 0 0 0 17 33 0 0 0 17 35 0 0 0 17 36 0 0 0 18 37 0 0 0 18 38 0 0 0 19 39 0 0 0 19 40 0 0 0 19 41 0 0 0 20 38 0 0 0 20 40 0 0 0 21 38 0 0 0 21 42 0 0 0 22 42 0 0 0 22 43 0 0 0 22 44 0 0 0 23 45 0 0 0 23 46 0 0 0 24 44 0 0 0 24 46 0 0 0 24 47 0 0 0 25 48 0 0 0 25 49 0 0 0 26 48 0 0 0 26 50 0 0 0 26 51 0 0 0 27 51 0 0 0 27 52 0 0 0 28 36 0 0 0 28 45 0 0 0 28 53 0 0 0 29 54 0 0 0 29 55 0 0 0 30 47 0 0 0 30 52 0 0 0 30 54 0 0 0 31 56 0 0 0 31 57 0 0 0 31 58 0 0 0 32 56 0 0 0 32 59 0 0 0 32 60 0 0 0 33 60 0 0 0 33 61 0 0 0 34 59 0 0 0 34 62 0 0 0 34 63 0 0 0 35 63 0 0 0 35 64 0 0 0 36 64 0 0 0 36 65 0 0 0 37 66 0 0 0 37 67 0 0 0 37 68 0 0 0 38 67 0 0 0 39 58 0 0 0 39 69 0 0 0 39 70 0 0 0 40 71 0 0 0 40 72 0 0 0 41 70 0 0 0 41 72 0 0 0 41 73 0 0 0 42 74 0 0 0 42 75 0 0 0 43 56 1 0 0 43 74 0 0 0 43 76 0 0 0 44 56 1 0 0 44 57 1 0 0 45 64 0 0 0 45 77 0 0 0 46 78 0 0 0 46 79 0 0 0 47 57 1 0 0 47 78 0 0 0 48 77 0 1 0 48 80 0 0 0 49 75 0 0 0 49 80 0 0 0 49 81 0 0 0 50 73 0 0 0 50 76 0 0 1 50 77 0 1 0 51 59 1 0 1 51 62 1 0 1 52 62 1 0 1 52 81 0 0 0 53 65 0 0 0 53 74 0 -1 1 53 76 0 -1 1 54 71 1 -1 1 54 78 0 0 0 55 69 1 -1 1 55 71 1 -1 1 55 82 0 0 0 57 83 0 0 0 58 83 0 0 0 58 84 0 0 0 59 85 0 0 0 60 85 0 0 0 60 86 0 0 0 61 86 0 0 0 61 87 0 0 0 61 88 0 0 0 62 89 0 0 0 63 85 0 0 0 63 90 0 0 0 64 91 0 0 0 65 88 0 0 0 65 92 0 0 0 66 89 0 0 0 66 93 0 0 0 66 94 0 0 0 67 87 0 1 -1 67 88 0 1 -1 68 88 0 1 -1 68 92 0 1 -1 68 94 0 0 0 69 84 0 0 0 69 95 0 0 0 70 94 0 0 1 70 95 0 0 0 71 90 0 1 0 72 90 0 1 0 72 91 0 1 0 73 91 0 1 0 73 92 0 1 0 74 84 1 0 0 75 83 1 0 0 75 84 1 0 0 76 92 0 1 -1 77 91 0 0 0 78 87 1 0 0 79 86 1 0 0 79 87 1 0 0 79 93 1 -1 1 80 89 1 0 1 80 93 1 0 1 81 83 1 0 0 81 89 1 0 1 82 85 1 0 1 82 90 1 0 1 82 95 1 -1 1 86 96 0 0 0 93 96 0 1 -1 94 96 0 1 -1 95 96 0 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
05f53c8aedf2f9ebf2ee8bbfa54afe0d (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: 384 of 384 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. 384 of 384 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 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
1 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
2 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
3 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
4 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
5 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
6 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
7 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
8 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
9 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
10 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
11 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
12 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
13 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
14 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
15 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
16 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
17 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
18 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
19 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
20 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
21 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
22 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
23 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
24 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
25 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
26 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
27 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
28 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
29 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
30 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
31 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
32 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
33 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
34 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
35 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
36 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
37 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
38 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
39 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
40 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
41 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
42 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
43 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
44 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
45 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
46 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
47 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
48 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
49 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
50 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
51 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
52 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
53 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
54 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
55 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
56 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
57 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
58 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
59 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
60 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
61 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
62 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
63 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
64 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
65 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
66 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
67 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
68 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
69 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
70 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
71 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
72 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
73 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
74 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
75 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
76 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
77 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
78 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
79 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
80 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
81 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
82 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
83 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
84 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
85 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
86 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
87 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
88 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
89 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
90 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
91 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
92 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
93 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
94 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
95 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
96 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
97 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
98 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
99 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
100 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
101 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
102 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
103 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
104 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
105 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
106 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
107 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
108 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
109 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
110 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
111 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
112 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
113 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
114 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
115 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
116 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
117 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
118 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
119 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
120 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
121 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
122 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
123 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
124 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
125 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
126 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
127 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
128 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
129 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
130 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
131 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
132 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
133 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
134 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
135 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
136 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
137 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
138 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
139 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
140 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
141 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
142 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
143 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
144 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
145 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
146 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
147 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
148 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
149 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
150 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
151 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
152 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
153 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
154 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
155 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
156 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
157 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
158 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
159 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
160 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
161 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
162 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
163 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
164 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
165 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
166 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
167 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
168 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
169 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
170 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
171 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
172 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
173 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
174 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
175 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
176 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
177 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
178 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
179 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
180 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
181 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
182 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
183 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
184 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
185 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
186 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
187 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
188 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
189 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
190 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
191 4 14.4.4.6.6.6(2)4 9 16 25 37 53 74 99 125 151
192 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
193 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
194 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
195 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
196 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
197 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
198 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
199 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
200 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
201 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
202 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
203 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
204 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
205 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
206 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
207 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
208 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
209 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
210 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
211 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
212 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
213 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
214 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
215 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
216 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
217 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
218 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
219 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
220 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
221 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
222 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
223 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
224 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
225 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
226 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
227 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
228 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
229 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
230 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
231 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
232 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
233 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
234 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
235 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
236 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
237 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
238 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
239 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
240 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
241 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
242 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
243 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
244 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
245 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
246 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
247 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
248 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
249 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
250 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
251 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
252 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
253 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
254 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
255 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
256 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
257 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
258 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
259 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
260 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
261 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
262 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
263 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
264 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
265 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
266 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
267 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
268 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
269 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
270 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
271 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
272 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
273 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
274 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
275 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
276 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
277 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
278 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
279 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
280 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
281 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
282 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
283 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
284 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
285 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
286 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
287 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
288 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
289 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
290 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
291 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
292 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
293 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
294 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
295 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
296 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
297 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
298 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
299 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
300 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
301 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
302 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
303 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
304 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
305 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
306 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
307 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
308 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
309 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
310 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
311 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
312 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
313 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
314 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
315 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
316 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
317 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
318 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
319 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
320 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
321 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
322 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
323 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
324 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
325 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
326 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
327 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
328 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
329 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
330 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
331 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
332 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
333 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
334 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
335 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
336 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
337 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
338 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
339 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
340 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
341 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
342 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
343 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
344 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
345 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
346 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
347 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
348 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
349 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
350 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
351 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
352 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
353 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
354 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
355 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
356 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
357 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
358 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
359 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
360 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
361 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
362 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
363 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
364 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
365 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
366 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
367 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
368 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
369 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
370 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
371 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
372 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
373 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
374 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
375 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
376 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
377 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
378 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
379 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
380 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
381 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
382 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146
383 4 14.4.4.6.6(2).8(3)4 9 17 28 41 56 73 93 117 146

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)
2, 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)
tsc
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 16 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 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 34 0 0 0 16 35 0 0 0 17 33 0 0 0 17 35 0 0 0 17 36 0 0 0 18 37 0 0 0 18 38 0 0 0 19 39 0 0 0 19 40 0 0 0 19 41 0 0 0 20 38 0 0 0 20 40 0 0 0 21 38 0 0 0 21 42 0 0 0 22 42 0 0 0 22 43 0 0 0 22 44 0 0 0 23 45 0 0 0 23 46 0 0 0 24 44 0 0 0 24 46 0 0 0 24 47 0 0 0 25 48 0 0 0 25 49 0 0 0 26 48 0 0 0 26 50 0 0 0 26 51 0 0 0 27 51 0 0 0 27 52 0 0 0 28 36 0 0 0 28 45 0 0 0 28 53 0 0 0 29 54 0 0 0 29 55 0 0 0 30 47 0 0 0 30 52 0 0 0 30 54 0 0 0 31 56 0 0 0 31 57 0 0 0 31 58 0 0 0 32 56 0 0 0 32 59 0 0 0 32 60 0 0 0 33 60 0 0 0 33 61 0 0 0 34 59 0 0 0 34 62 0 0 0 34 63 0 0 0 35 63 0 0 0 35 64 0 0 0 36 64 0 0 0 36 65 0 0 0 37 66 0 0 0 37 67 0 0 0 37 68 0 0 0 38 67 0 0 0 39 58 0 0 0 39 69 0 0 0 39 70 0 0 0 40 71 0 0 0 40 72 0 0 0 41 70 0 0 0 41 72 0 0 0 41 73 0 0 0 42 74 0 0 0 42 75 0 0 0 43 56 1 0 0 43 74 0 0 0 43 76 0 0 0 44 56 1 0 0 44 57 1 0 0 45 64 0 0 0 45 77 0 0 0 46 78 0 0 0 46 79 0 0 0 47 57 1 0 0 47 78 0 0 0 48 77 0 1 0 48 80 0 0 0 49 75 0 0 0 49 80 0 0 0 49 81 0 0 0 50 73 0 0 0 50 76 0 0 1 50 77 0 1 0 51 59 1 0 1 51 62 1 0 1 52 62 1 0 1 52 81 0 0 0 53 65 0 0 0 53 74 0 -1 1 53 76 0 -1 1 54 71 1 -1 1 54 78 0 0 0 55 69 1 -1 1 55 71 1 -1 1 55 82 0 0 0 57 83 0 0 0 58 83 0 0 0 58 84 0 0 0 59 85 0 0 0 60 85 0 0 0 60 86 0 0 0 61 86 0 0 0 61 87 0 0 0 61 88 0 0 0 62 89 0 0 0 63 85 0 0 0 63 90 0 0 0 64 91 0 0 0 65 88 0 0 0 65 92 0 0 0 66 89 0 0 0 66 93 0 0 0 66 94 0 0 0 67 87 0 1 -1 67 88 0 1 -1 68 88 0 1 -1 68 92 0 1 -1 68 94 0 0 0 69 84 0 0 0 69 95 0 0 0 70 94 0 0 1 70 95 0 0 0 71 90 0 1 0 72 90 0 1 0 72 91 0 1 0 73 91 0 1 0 73 92 0 1 0 74 84 1 0 0 75 83 1 0 0 75 84 1 0 0 76 92 0 1 -1 77 91 0 0 0 78 87 1 0 0 79 86 1 0 0 79 87 1 0 0 79 93 1 -1 1 80 89 1 0 1 80 93 1 0 1 81 83 1 0 0 81 89 1 0 1 82 85 1 0 1 82 90 1 0 1 82 95 1 -1 1 86 96 0 0 0 93 96 0 1 -1 94 96 0 1 -1 95 96 0 1 0
Key against the archive (mofplus-deposit)
the same key, character for character
TD10 as Systre prints it (mofplus-deposit)
590
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)
589.5
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)
589.5
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)
(4^3.6^2.8)(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) 4.4.4.6.6.8 4^3.6^3 4 9 16 25 37 53 74 99 125 151
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, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 3834.4.4.6.6(2).8(3) 4.4.4.6.8.8 4^3.6^2.8 4 9 17 28 41 56 73 93 117 146

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

Net point symbol (rcsr-archive-key)
(4^3.6^2.8)(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, 2, 3, 4, 8, 9, 10, 11, 13, 16, 20, 21, 23, 24, 26, 29, 32, 34, 35, 40, 41, 43, 46, 48, 51, 56, 59, 60, 62, 63, 64, 67, 69, 71, 72, 74, 80, 81, 82, 84, 85, 87, 89, 90, 91, 93, 94, 954.4.4.6.6.6(2) 4.4.4.6.6.8 4^3.6^3 4 9 16 25 37 53 74 99 125 151
1, 5, 6, 7, 12, 14, 15, 17, 18, 19, 22, 25, 27, 28, 30, 31, 33, 36, 37, 38, 39, 42, 44, 45, 47, 49, 50, 52, 53, 54, 55, 57, 58, 61, 65, 66, 68, 70, 73, 75, 76, 77, 78, 79, 83, 86, 88, 924.4.4.6.6(2).8(3) 4.4.4.6.8.8 4^3.6^2.8 4 9 17 28 41 56 73 93 117 146

Cross-checks

Name against the computed key
corroborated-by-systre-key
Stored symbols against the computed ones
corroborated: 384 of 384 vertex rows agree with mofpp.rings v2 (mofplus-deposit).
Stored sequences against the computed ones
corroborated: 384 of 384 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
tsc
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
2101 (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
2409 The order the ingest processed this net in, simplest first. A different number from the RCSR index above, meaning a different thing.