Net topology

llk-a

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

JSON · mfpx

144 vertices and 288 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 = 7.3226 Å, b = 7.3226 Å, c = 7.3226 Å
Cell angles
α = 90.00°, β = 90.00°, γ = 90.00°
Atoms in cell
144
Transitivity pqrs
4, 6, *, *
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 8 0 0 0 4 13 0 0 0 4 14 0 0 0 5 11 0 0 0 5 15 0 0 0 5 16 0 0 0 6 17 0 0 0 6 18 0 0 0 7 8 0 0 0 7 10 0 0 0 7 19 0 0 0 7 20 0 0 0 8 13 0 0 0 8 21 0 0 0 9 22 0 0 0 9 23 0 0 0 10 11 0 0 0 10 20 0 0 0 10 24 0 0 0 11 15 0 0 0 11 25 0 0 0 12 26 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 39 0 0 0 21 40 0 0 0 22 23 0 0 0 22 41 0 0 0 23 42 0 0 0 24 43 0 0 0 24 44 0 0 0 25 45 0 0 0 25 46 0 0 0 26 27 0 0 0 26 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 42 0 0 0 34 51 0 0 0 34 57 0 0 0 34 58 0 0 0 35 48 0 0 0 35 55 0 0 0 35 59 0 0 0 35 60 0 0 0 36 37 0 0 0 36 58 1 0 0 37 61 0 0 0 38 62 0 0 0 38 63 0 0 0 39 40 0 0 0 39 64 0 0 0 40 65 0 0 0 41 55 0 1 0 41 66 0 0 0 41 67 0 0 0 41 68 0 0 0 42 56 0 1 0 42 57 0 0 0 42 65 0 0 0 43 44 0 0 0 43 60 1 0 0 44 69 0 0 0 45 46 0 0 0 45 70 0 0 0 46 66 0 -1 0 47 51 0 0 1 47 65 0 0 1 47 71 0 0 0 47 72 0 0 0 48 52 0 0 1 48 59 0 0 0 48 66 0 -1 0 49 50 0 0 0 49 68 1 -1 -1 50 57 1 -1 -1 51 58 0 0 0 51 65 0 0 0 52 61 -1 0 0 52 66 0 -1 -1 52 67 0 -1 -1 53 54 0 0 0 53 72 1 -1 -1 54 59 1 -1 -1 55 60 0 0 0 55 66 0 -1 0 56 65 0 -1 0 56 69 -1 0 0 56 71 0 -1 -1 57 69 -1 1 0 57 70 -1 1 0 58 70 -1 1 0 58 72 0 0 -1 59 61 -1 0 1 59 64 -1 0 1 60 64 -1 0 1 60 68 0 -1 0 61 64 0 0 0 61 67 1 -1 -1 62 63 0 0 0 62 67 1 -1 -1 63 71 1 -1 -1 64 68 1 -1 -1 67 68 0 0 0 69 70 0 0 0 69 71 1 -1 -1 70 72 1 -1 -1 71 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
5819dfa18332905f86f3553c561610cd (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: 144 of 144 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. 144 of 144 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 mm23.8(2).8(2)3 6 18 31 37 54 84 140 168 180
1 3 mm23.8(2).8(2)3 6 18 31 37 54 84 140 168 180
2 3 mm23.8(2).8(2)3 6 18 31 37 54 84 140 168 180
3 3 mm23.8(2).8(2)3 6 18 31 37 54 84 140 168 180
4 3 mm23.8(2).8(2)3 6 18 31 37 54 84 140 168 180
5 3 mm23.8(2).8(2)3 6 18 31 37 54 84 140 168 180
6 3 mm23.8(2).8(2)3 6 18 31 37 54 84 140 168 180
7 3 mm23.8(2).8(2)3 6 18 31 37 54 84 140 168 180
8 3 mm23.8(2).8(2)3 6 18 31 37 54 84 140 168 180
9 3 mm23.8(2).8(2)3 6 18 31 37 54 84 140 168 180
10 3 mm23.8(2).8(2)3 6 18 31 37 54 84 140 168 180
11 3 mm23.8(2).8(2)3 6 18 31 37 54 84 140 168 180
12 3 mm23.8(2).8(2)3 6 18 31 37 54 84 140 168 180
13 3 mm23.8(2).8(2)3 6 18 31 37 54 84 140 168 180
14 3 mm23.8(2).8(2)3 6 18 31 37 54 84 140 168 180
15 3 mm23.8(2).8(2)3 6 18 31 37 54 84 140 168 180
16 3 mm23.8(2).8(2)3 6 18 31 37 54 84 140 168 180
17 3 mm23.8(2).8(2)3 6 18 31 37 54 84 140 168 180
18 3 mm23.8(2).8(2)3 6 18 31 37 54 84 140 168 180
19 3 mm23.8(2).8(2)3 6 18 31 37 54 84 140 168 180
20 3 mm23.8(2).8(2)3 6 18 31 37 54 84 140 168 180
21 3 mm23.8(2).8(2)3 6 18 31 37 54 84 140 168 180
22 3 mm23.8(2).8(2)3 6 18 31 37 54 84 140 168 180
23 3 mm23.8(2).8(2)3 6 18 31 37 54 84 140 168 180
24 3 m3.8(2).9(2)3 6 18 33 38 52 83 135 179 179
25 3 m3.8(2).9(2)3 6 18 33 38 52 83 135 179 179
26 3 m3.8(2).9(2)3 6 18 33 38 52 83 135 179 179
27 3 m3.8(2).9(2)3 6 18 33 38 52 83 135 179 179
28 3 m3.8(2).9(2)3 6 18 33 38 52 83 135 179 179
29 3 m3.8(2).9(2)3 6 18 33 38 52 83 135 179 179
30 3 m3.8(2).9(2)3 6 18 33 38 52 83 135 179 179
31 3 m3.8(2).9(2)3 6 18 33 38 52 83 135 179 179
32 3 m3.8(2).9(2)3 6 18 33 38 52 83 135 179 179
33 3 m3.8(2).9(2)3 6 18 33 38 52 83 135 179 179
34 3 m3.8(2).9(2)3 6 18 33 38 52 83 135 179 179
35 3 m3.8(2).9(2)3 6 18 33 38 52 83 135 179 179
36 3 m3.8(2).9(2)3 6 18 33 38 52 83 135 179 179
37 3 m3.8(2).9(2)3 6 18 33 38 52 83 135 179 179
38 3 m3.8(2).9(2)3 6 18 33 38 52 83 135 179 179
39 3 m3.8(2).9(2)3 6 18 33 38 52 83 135 179 179
40 3 m3.8(2).9(2)3 6 18 33 38 52 83 135 179 179
41 3 m3.8(2).9(2)3 6 18 33 38 52 83 135 179 179
42 3 m3.8(2).9(2)3 6 18 33 38 52 83 135 179 179
43 3 m3.8(2).9(2)3 6 18 33 38 52 83 135 179 179
44 3 m3.8(2).9(2)3 6 18 33 38 52 83 135 179 179
45 3 m3.8(2).9(2)3 6 18 33 38 52 83 135 179 179
46 3 m3.8(2).9(2)3 6 18 33 38 52 83 135 179 179
47 3 m3.8(2).9(2)3 6 18 33 38 52 83 135 179 179
48 3 m3.8(2).9(2)3 6 18 33 38 52 83 135 179 179
49 3 m3.8(2).9(2)3 6 18 33 38 52 83 135 179 179
50 3 m3.8(2).9(2)3 6 18 33 38 52 83 135 179 179
51 3 m3.8(2).9(2)3 6 18 33 38 52 83 135 179 179
52 3 m3.8(2).9(2)3 6 18 33 38 52 83 135 179 179
53 3 m3.8(2).9(2)3 6 18 33 38 52 83 135 179 179
54 3 m3.8(2).9(2)3 6 18 33 38 52 83 135 179 179
55 3 m3.8(2).9(2)3 6 18 33 38 52 83 135 179 179
56 3 m3.8(2).9(2)3 6 18 33 38 52 83 135 179 179
57 3 m3.8(2).9(2)3 6 18 33 38 52 83 135 179 179
58 3 m3.8(2).9(2)3 6 18 33 38 52 83 135 179 179
59 3 m3.8(2).9(2)3 6 18 33 38 52 83 135 179 179
60 3 m3.8(2).9(2)3 6 18 33 38 52 83 135 179 179
61 3 m3.8(2).9(2)3 6 18 33 38 52 83 135 179 179
62 3 m3.8(2).9(2)3 6 18 33 38 52 83 135 179 179
63 3 m3.8(2).9(2)3 6 18 33 38 52 83 135 179 179
64 3 m3.8(2).9(2)3 6 18 33 38 52 83 135 179 179
65 3 m3.8(2).9(2)3 6 18 33 38 52 83 135 179 179
66 3 m3.8(2).9(2)3 6 18 33 38 52 83 135 179 179
67 3 m3.8(2).9(2)3 6 18 33 38 52 83 135 179 179
68 3 m3.8(2).9(2)3 6 18 33 38 52 83 135 179 179
69 3 m3.8(2).9(2)3 6 18 33 38 52 83 135 179 179
70 3 m3.8(2).9(2)3 6 18 33 38 52 83 135 179 179
71 3 m3.8(2).9(2)3 6 18 33 38 52 83 135 179 179
72 5 m3.3.4.4.5(2).5(2).8.8.9.95 12 17 27 45 75 107 118 152 214
73 5 m3.3.4.4.5(2).5(2).8.8.9.95 12 17 27 45 75 107 118 152 214
74 5 m3.3.4.4.5(2).5(2).8.8.9.95 12 17 27 45 75 107 118 152 214
75 5 m3.3.4.4.5(2).5(2).8.8.9.95 12 17 27 45 75 107 118 152 214
76 5 m3.3.4.4.5(2).5(2).8.8.9.95 12 17 27 45 75 107 118 152 214
77 5 m3.3.4.4.5(2).5(2).8.8.9.95 12 17 27 45 75 107 118 152 214
78 5 m3.3.4.4.5(2).5(2).8.8.9.95 12 17 27 45 75 107 118 152 214
79 5 m3.3.4.4.5(2).5(2).8.8.9.95 12 17 27 45 75 107 118 152 214
80 5 m3.3.4.4.5(2).5(2).8.8.9.95 12 17 27 45 75 107 118 152 214
81 5 m3.3.4.4.5(2).5(2).8.8.9.95 12 17 27 45 75 107 118 152 214
82 5 m3.3.4.4.5(2).5(2).8.8.9.95 12 17 27 45 75 107 118 152 214
83 5 m3.3.4.4.5(2).5(2).8.8.9.95 12 17 27 45 75 107 118 152 214
84 5 m3.3.4.4.5(2).5(2).8.8.9.95 12 17 27 45 75 107 118 152 214
85 5 m3.3.4.4.5(2).5(2).8.8.9.95 12 17 27 45 75 107 118 152 214
86 5 m3.3.4.4.5(2).5(2).8.8.9.95 12 17 27 45 75 107 118 152 214
87 5 m3.3.4.4.5(2).5(2).8.8.9.95 12 17 27 45 75 107 118 152 214
88 5 m3.3.4.4.5(2).5(2).8.8.9.95 12 17 27 45 75 107 118 152 214
89 5 m3.3.4.4.5(2).5(2).8.8.9.95 12 17 27 45 75 107 118 152 214
90 5 m3.3.4.4.5(2).5(2).8.8.9.95 12 17 27 45 75 107 118 152 214
91 5 m3.3.4.4.5(2).5(2).8.8.9.95 12 17 27 45 75 107 118 152 214
92 5 m3.3.4.4.5(2).5(2).8.8.9.95 12 17 27 45 75 107 118 152 214
93 5 m3.3.4.4.5(2).5(2).8.8.9.95 12 17 27 45 75 107 118 152 214
94 5 m3.3.4.4.5(2).5(2).8.8.9.95 12 17 27 45 75 107 118 152 214
95 5 m3.3.4.4.5(2).5(2).8.8.9.95 12 17 27 45 75 107 118 152 214
96 5 m3.3.4.4.5(2).5(2).8.8.9.95 12 17 27 45 75 107 118 152 214
97 5 m3.3.4.4.5(2).5(2).8.8.9.95 12 17 27 45 75 107 118 152 214
98 5 m3.3.4.4.5(2).5(2).8.8.9.95 12 17 27 45 75 107 118 152 214
99 5 m3.3.4.4.5(2).5(2).8.8.9.95 12 17 27 45 75 107 118 152 214
100 5 m3.3.4.4.5(2).5(2).8.8.9.95 12 17 27 45 75 107 118 152 214
101 5 m3.3.4.4.5(2).5(2).8.8.9.95 12 17 27 45 75 107 118 152 214
102 5 m3.3.4.4.5(2).5(2).8.8.9.95 12 17 27 45 75 107 118 152 214
103 5 m3.3.4.4.5(2).5(2).8.8.9.95 12 17 27 45 75 107 118 152 214
104 5 m3.3.4.4.5(2).5(2).8.8.9.95 12 17 27 45 75 107 118 152 214
105 5 m3.3.4.4.5(2).5(2).8.8.9.95 12 17 27 45 75 107 118 152 214
106 5 m3.3.4.4.5(2).5(2).8.8.9.95 12 17 27 45 75 107 118 152 214
107 5 m3.3.4.4.5(2).5(2).8.8.9.95 12 17 27 45 75 107 118 152 214
108 5 m3.3.4.4.5(2).5(2).8.8.9.95 12 17 27 45 75 107 118 152 214
109 5 m3.3.4.4.5(2).5(2).8.8.9.95 12 17 27 45 75 107 118 152 214
110 5 m3.3.4.4.5(2).5(2).8.8.9.95 12 17 27 45 75 107 118 152 214
111 5 m3.3.4.4.5(2).5(2).8.8.9.95 12 17 27 45 75 107 118 152 214
112 5 m3.3.4.4.5(2).5(2).8.8.9.95 12 17 27 45 75 107 118 152 214
113 5 m3.3.4.4.5(2).5(2).8.8.9.95 12 17 27 45 75 107 118 152 214
114 5 m3.3.4.4.5(2).5(2).8.8.9.95 12 17 27 45 75 107 118 152 214
115 5 m3.3.4.4.5(2).5(2).8.8.9.95 12 17 27 45 75 107 118 152 214
116 5 m3.3.4.4.5(2).5(2).8.8.9.95 12 17 27 45 75 107 118 152 214
117 5 m3.3.4.4.5(2).5(2).8.8.9.95 12 17 27 45 75 107 118 152 214
118 5 m3.3.4.4.5(2).5(2).8.8.9.95 12 17 27 45 75 107 118 152 214
119 5 m3.3.4.4.5(2).5(2).8.8.9.95 12 17 27 45 75 107 118 152 214
120 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 17 25 44 82 108 120 148 196
121 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 17 25 44 82 108 120 148 196
122 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 17 25 44 82 108 120 148 196
123 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 17 25 44 82 108 120 148 196
124 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 17 25 44 82 108 120 148 196
125 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 17 25 44 82 108 120 148 196
126 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 17 25 44 82 108 120 148 196
127 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 17 25 44 82 108 120 148 196
128 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 17 25 44 82 108 120 148 196
129 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 17 25 44 82 108 120 148 196
130 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 17 25 44 82 108 120 148 196
131 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 17 25 44 82 108 120 148 196
132 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 17 25 44 82 108 120 148 196
133 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 17 25 44 82 108 120 148 196
134 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 17 25 44 82 108 120 148 196
135 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 17 25 44 82 108 120 148 196
136 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 17 25 44 82 108 120 148 196
137 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 17 25 44 82 108 120 148 196
138 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 17 25 44 82 108 120 148 196
139 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 17 25 44 82 108 120 148 196
140 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 17 25 44 82 108 120 148 196
141 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 17 25 44 82 108 120 148 196
142 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 17 25 44 82 108 120 148 196
143 5 mm23.3.4.4.5(2).5(2).8.8.8.85 12 17 25 44 82 108 120 148 196

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, 6 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)
llk-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 8 0 0 0 4 13 0 0 0 4 14 0 0 0 5 11 0 0 0 5 15 0 0 0 5 16 0 0 0 6 17 0 0 0 6 18 0 0 0 7 8 0 0 0 7 10 0 0 0 7 19 0 0 0 7 20 0 0 0 8 13 0 0 0 8 21 0 0 0 9 22 0 0 0 9 23 0 0 0 10 11 0 0 0 10 20 0 0 0 10 24 0 0 0 11 15 0 0 0 11 25 0 0 0 12 26 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 39 0 0 0 21 40 0 0 0 22 23 0 0 0 22 41 0 0 0 23 42 0 0 0 24 43 0 0 0 24 44 0 0 0 25 45 0 0 0 25 46 0 0 0 26 27 0 0 0 26 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 42 0 0 0 34 51 0 0 0 34 57 0 0 0 34 58 0 0 0 35 48 0 0 0 35 55 0 0 0 35 59 0 0 0 35 60 0 0 0 36 37 0 0 0 36 58 1 0 0 37 61 0 0 0 38 62 0 0 0 38 63 0 0 0 39 40 0 0 0 39 64 0 0 0 40 65 0 0 0 41 55 0 1 0 41 66 0 0 0 41 67 0 0 0 41 68 0 0 0 42 56 0 1 0 42 57 0 0 0 42 65 0 0 0 43 44 0 0 0 43 60 1 0 0 44 69 0 0 0 45 46 0 0 0 45 70 0 0 0 46 66 0 -1 0 47 51 0 0 1 47 65 0 0 1 47 71 0 0 0 47 72 0 0 0 48 52 0 0 1 48 59 0 0 0 48 66 0 -1 0 49 50 0 0 0 49 68 1 -1 -1 50 57 1 -1 -1 51 58 0 0 0 51 65 0 0 0 52 61 -1 0 0 52 66 0 -1 -1 52 67 0 -1 -1 53 54 0 0 0 53 72 1 -1 -1 54 59 1 -1 -1 55 60 0 0 0 55 66 0 -1 0 56 65 0 -1 0 56 69 -1 0 0 56 71 0 -1 -1 57 69 -1 1 0 57 70 -1 1 0 58 70 -1 1 0 58 72 0 0 -1 59 61 -1 0 1 59 64 -1 0 1 60 64 -1 0 1 60 68 0 -1 0 61 64 0 0 0 61 67 1 -1 -1 62 63 0 0 0 62 67 1 -1 -1 63 71 1 -1 -1 64 68 1 -1 -1 67 68 0 0 0 69 70 0 0 0 69 71 1 -1 -1 70 72 1 -1 -1 71 72 0 0 0
Key against the archive (mofplus-deposit)
the same key, character for character
TD10 as Systre prints it (mofplus-deposit)
747
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)
746.6666666666666
Genus (mofplus-deposit)
73
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)
746.6666666666666
Genus (rcsr-archive-key)
73
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)
(3.8.9)2(3.8^2)(3^2.4^2.5^2.8^2.9^2)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, 233.8(2).8(2) 3.8(2).8(2) 3.8^2 3 6 18 31 37 54 84 140 168 180
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, 713.8(2).9(2) 3.8(2).12(2) 3.8.9 3 6 18 33 38 52 83 135 179 179
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, 1193.3.4.4.5(2).5(2).8.8.9.9 3.3.4.4.6.6.8.8.12.12 3^2.4^2.5^2.8^2.9^2 5 12 17 27 45 75 107 118 152 214
120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 1433.3.4.4.5(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 25 44 82 108 120 148 196

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

Net point symbol (rcsr-archive-key)
(3.8.9)2(3.8^2)(3^2.4^2.5^2.8^2.9^2)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, 7, 10, 19, 41, 47, 50, 54, 60, 67, 68, 713.3.4.4.5(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 25 44 82 108 120 148 196
1, 2, 3, 4, 6, 9, 12, 14, 33, 34, 40, 46, 51, 55, 56, 57, 58, 59, 63, 64, 65, 66, 69, 703.3.4.4.5(2).5(2).8.8.9.9 3.3.4.4.6.6.8.8.12.12 3^2.4^2.5^2.8^2.9^2 5 12 17 27 45 75 107 118 152 214
5, 20, 22, 24, 26, 28, 31, 36, 37, 43, 48, 523.8(2).8(2) 3.8(2).8(2) 3.8^2 3 6 18 31 37 54 84 140 168 180
8, 11, 13, 15, 16, 17, 18, 21, 23, 25, 27, 29, 30, 32, 35, 38, 39, 42, 44, 45, 49, 53, 61, 623.8(2).9(2) 3.8(2).12(2) 3.8.9 3 6 18 33 38 52 83 135 179 179

Cross-checks

Name against the computed key
corroborated-by-systre-key
Stored symbols against the computed ones
corroborated: 144 of 144 vertex rows agree with mofpp.rings v2 (mofplus-deposit).
Stored sequences against the computed ones
corroborated: 144 of 144 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
llk-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
1211 (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
2279 The order the ingest processed this net in, simplest first. A different number from the RCSR index above, meaning a different thing.