Net topology

czz-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
I-43d (No. 220)
Cell lengths
a = 7.4603 Å, b = 7.4603 Å, c = 7.4603 Å
Cell angles
α = 90.00°, β = 90.00°, γ = 90.00°
Atoms in cell
144
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 4 0 0 0 2 7 0 0 0 2 8 0 0 0 3 6 0 0 0 3 8 0 0 0 3 9 0 0 0 4 6 0 0 0 4 8 0 0 0 4 10 0 0 0 5 11 0 0 0 5 12 0 0 0 6 8 0 0 0 6 13 0 0 0 7 14 0 0 0 7 15 0 0 0 8 16 0 0 0 9 17 0 0 0 9 18 0 0 0 10 19 0 0 0 10 20 0 0 0 11 12 0 0 0 11 21 0 0 0 12 22 0 0 0 13 23 0 0 0 13 24 0 0 0 14 15 0 0 0 14 25 0 0 0 15 26 0 0 0 16 27 0 0 0 16 28 0 0 0 17 18 0 0 0 17 29 0 0 0 18 30 0 0 0 19 20 0 0 0 19 31 0 0 0 20 32 0 0 0 21 26 1 0 0 21 33 0 0 0 21 34 0 0 0 21 35 0 0 0 22 30 1 0 0 22 31 0 1 0 22 36 0 0 0 22 37 0 0 0 23 24 0 0 0 23 38 0 0 0 24 39 0 0 0 25 40 0 0 0 25 41 0 0 0 25 42 0 0 0 25 43 0 0 0 26 33 -1 0 0 26 35 -1 0 0 26 44 0 0 0 27 28 0 0 0 27 41 0 0 1 28 45 0 0 0 29 39 -1 1 -1 29 46 0 0 0 29 47 0 0 0 29 48 0 0 0 30 36 -1 0 0 30 37 -1 0 0 30 45 -1 1 -1 31 36 0 -1 0 31 37 0 -1 0 31 45 0 0 -1 32 38 0 -1 0 32 49 0 0 0 32 50 0 0 0 32 51 0 0 0 33 34 0 0 0 33 44 1 0 0 33 52 0 0 0 34 35 0 0 0 34 44 1 0 0 34 53 0 0 0 35 44 1 0 0 35 54 0 0 0 36 45 0 1 -1 36 55 0 0 0 37 45 0 1 -1 37 56 0 0 0 38 49 0 1 0 38 51 0 1 0 38 57 0 0 0 39 46 1 -1 1 39 48 1 -1 1 39 58 0 0 0 40 41 0 0 0 40 42 0 0 0 40 59 0 0 0 40 60 0 0 0 41 43 0 0 0 41 60 0 0 0 42 43 0 0 0 42 60 0 0 0 42 61 0 0 0 43 60 0 0 0 43 62 0 0 0 44 63 0 0 0 46 47 0 0 0 46 58 -1 1 -1 46 64 0 0 0 47 48 0 0 0 47 58 -1 1 -1 47 65 0 0 0 48 58 -1 1 -1 48 66 0 0 0 49 50 0 0 0 49 57 0 -1 0 49 67 0 0 0 50 51 0 0 0 50 57 0 -1 0 50 68 0 0 0 51 57 0 -1 0 51 69 0 0 0 52 62 0 0 0 52 70 0 0 0 53 56 0 -1 0 53 71 0 0 0 54 59 1 0 1 54 72 0 0 0 55 65 0 0 0 55 68 0 1 -1 56 71 0 1 0 57 70 0 0 1 58 72 0 0 0 59 72 -1 0 -1 60 71 -1 1 -1 61 64 0 0 0 61 69 -1 1 -1 62 70 0 0 0 63 66 0 -1 0 63 67 0 0 0 64 69 -1 1 -1 65 68 0 1 -1 66 67 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
21d9f3cf6664a144722835cf8b1b2ffc (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 I-43d, setting the conventional one, by mofpp.site_symmetry v1 with spglib 2.7.0, from the embedding Systre 19.6.0 computed on the mofplus-deposit. spglib determined the same space group from those coordinates independently, which is a check of two different computations against each other rather than a restatement.

One row per distinct vertex. The coordination sequence counts how many vertices lie at each topological distance; the vertex symbol names the shortest ring at each angle of the vertex; the site symmetry is the vertex's Wyckoff position in the net's maximum-symmetry embedding. The three columns do not carry the same warrant: which of them was corroborated, which was not, and which was computed here, is stated above the table.
# Coordination Site symmetry Vertex symbol Coordination sequence
0 5 23.3.3.3.4(3).4(3).12.12.12(2).12(2)5 7 11 18 44 60 66 88 158 197
1 5 23.3.3.3.4(3).4(3).12.12.12(2).12(2)5 7 11 18 44 60 66 88 158 197
2 5 23.3.3.3.4(3).4(3).12.12.12(2).12(2)5 7 11 18 44 60 66 88 158 197
3 5 23.3.3.3.4(3).4(3).12.12.12(2).12(2)5 7 11 18 44 60 66 88 158 197
4 5 23.3.3.3.4(3).4(3).12.12.12(2).12(2)5 7 11 18 44 60 66 88 158 197
5 5 23.3.3.3.4(3).4(3).12.12.12(2).12(2)5 7 11 18 44 60 66 88 158 197
6 5 23.3.3.3.4(3).4(3).12.12.12(2).12(2)5 7 11 18 44 60 66 88 158 197
7 5 23.3.3.3.4(3).4(3).12.12.12(2).12(2)5 7 11 18 44 60 66 88 158 197
8 5 23.3.3.3.4(3).4(3).12.12.12(2).12(2)5 7 11 18 44 60 66 88 158 197
9 5 23.3.3.3.4(3).4(3).12.12.12(2).12(2)5 7 11 18 44 60 66 88 158 197
10 5 23.3.3.3.4(3).4(3).12.12.12(2).12(2)5 7 11 18 44 60 66 88 158 197
11 5 23.3.3.3.4(3).4(3).12.12.12(2).12(2)5 7 11 18 44 60 66 88 158 197
12 5 23.3.3.3.4(3).4(3).12.12.12(2).12(2)5 7 11 18 44 60 66 88 158 197
13 5 23.3.3.3.4(3).4(3).12.12.12(2).12(2)5 7 11 18 44 60 66 88 158 197
14 5 23.3.3.3.4(3).4(3).12.12.12(2).12(2)5 7 11 18 44 60 66 88 158 197
15 5 23.3.3.3.4(3).4(3).12.12.12(2).12(2)5 7 11 18 44 60 66 88 158 197
16 5 23.3.3.3.4(3).4(3).12.12.12(2).12(2)5 7 11 18 44 60 66 88 158 197
17 5 23.3.3.3.4(3).4(3).12.12.12(2).12(2)5 7 11 18 44 60 66 88 158 197
18 5 23.3.3.3.4(3).4(3).12.12.12(2).12(2)5 7 11 18 44 60 66 88 158 197
19 5 23.3.3.3.4(3).4(3).12.12.12(2).12(2)5 7 11 18 44 60 66 88 158 197
20 5 23.3.3.3.4(3).4(3).12.12.12(2).12(2)5 7 11 18 44 60 66 88 158 197
21 5 23.3.3.3.4(3).4(3).12.12.12(2).12(2)5 7 11 18 44 60 66 88 158 197
22 5 23.3.3.3.4(3).4(3).12.12.12(2).12(2)5 7 11 18 44 60 66 88 158 197
23 5 23.3.3.3.4(3).4(3).12.12.12(2).12(2)5 7 11 18 44 60 66 88 158 197
24 5 13.3.3.3.4(3).4(3).12.12.12.12(2)5 7 11 18 44 61 64 89 151 203
25 5 13.3.3.3.4(3).4(3).12.12.12.12(2)5 7 11 18 44 61 64 89 151 203
26 5 13.3.3.3.4(3).4(3).12.12.12.12(2)5 7 11 18 44 61 64 89 151 203
27 5 13.3.3.3.4(3).4(3).12.12.12.12(2)5 7 11 18 44 61 64 89 151 203
28 5 13.3.3.3.4(3).4(3).12.12.12.12(2)5 7 11 18 44 61 64 89 151 203
29 5 13.3.3.3.4(3).4(3).12.12.12.12(2)5 7 11 18 44 61 64 89 151 203
30 5 13.3.3.3.4(3).4(3).12.12.12.12(2)5 7 11 18 44 61 64 89 151 203
31 5 13.3.3.3.4(3).4(3).12.12.12.12(2)5 7 11 18 44 61 64 89 151 203
32 5 13.3.3.3.4(3).4(3).12.12.12.12(2)5 7 11 18 44 61 64 89 151 203
33 5 13.3.3.3.4(3).4(3).12.12.12.12(2)5 7 11 18 44 61 64 89 151 203
34 5 13.3.3.3.4(3).4(3).12.12.12.12(2)5 7 11 18 44 61 64 89 151 203
35 5 13.3.3.3.4(3).4(3).12.12.12.12(2)5 7 11 18 44 61 64 89 151 203
36 5 13.3.3.3.4(3).4(3).12.12.12.12(2)5 7 11 18 44 61 64 89 151 203
37 5 13.3.3.3.4(3).4(3).12.12.12.12(2)5 7 11 18 44 61 64 89 151 203
38 5 13.3.3.3.4(3).4(3).12.12.12.12(2)5 7 11 18 44 61 64 89 151 203
39 5 13.3.3.3.4(3).4(3).12.12.12.12(2)5 7 11 18 44 61 64 89 151 203
40 5 13.3.3.3.4(3).4(3).12.12.12.12(2)5 7 11 18 44 61 64 89 151 203
41 5 13.3.3.3.4(3).4(3).12.12.12.12(2)5 7 11 18 44 61 64 89 151 203
42 5 13.3.3.3.4(3).4(3).12.12.12.12(2)5 7 11 18 44 61 64 89 151 203
43 5 13.3.3.3.4(3).4(3).12.12.12.12(2)5 7 11 18 44 61 64 89 151 203
44 5 13.3.3.3.4(3).4(3).12.12.12.12(2)5 7 11 18 44 61 64 89 151 203
45 5 13.3.3.3.4(3).4(3).12.12.12.12(2)5 7 11 18 44 61 64 89 151 203
46 5 13.3.3.3.4(3).4(3).12.12.12.12(2)5 7 11 18 44 61 64 89 151 203
47 5 13.3.3.3.4(3).4(3).12.12.12.12(2)5 7 11 18 44 61 64 89 151 203
48 5 13.3.3.3.4(3).4(3).12.12.12.12(2)5 7 11 18 44 61 64 89 151 203
49 5 13.3.3.3.4(3).4(3).12.12.12.12(2)5 7 11 18 44 61 64 89 151 203
50 5 13.3.3.3.4(3).4(3).12.12.12.12(2)5 7 11 18 44 61 64 89 151 203
51 5 13.3.3.3.4(3).4(3).12.12.12.12(2)5 7 11 18 44 61 64 89 151 203
52 5 13.3.3.3.4(3).4(3).12.12.12.12(2)5 7 11 18 44 61 64 89 151 203
53 5 13.3.3.3.4(3).4(3).12.12.12.12(2)5 7 11 18 44 61 64 89 151 203
54 5 13.3.3.3.4(3).4(3).12.12.12.12(2)5 7 11 18 44 61 64 89 151 203
55 5 13.3.3.3.4(3).4(3).12.12.12.12(2)5 7 11 18 44 61 64 89 151 203
56 5 13.3.3.3.4(3).4(3).12.12.12.12(2)5 7 11 18 44 61 64 89 151 203
57 5 13.3.3.3.4(3).4(3).12.12.12.12(2)5 7 11 18 44 61 64 89 151 203
58 5 13.3.3.3.4(3).4(3).12.12.12.12(2)5 7 11 18 44 61 64 89 151 203
59 5 13.3.3.3.4(3).4(3).12.12.12.12(2)5 7 11 18 44 61 64 89 151 203
60 5 13.3.3.3.4(3).4(3).12.12.12.12(2)5 7 11 18 44 61 64 89 151 203
61 5 13.3.3.3.4(3).4(3).12.12.12.12(2)5 7 11 18 44 61 64 89 151 203
62 5 13.3.3.3.4(3).4(3).12.12.12.12(2)5 7 11 18 44 61 64 89 151 203
63 5 13.3.3.3.4(3).4(3).12.12.12.12(2)5 7 11 18 44 61 64 89 151 203
64 5 13.3.3.3.4(3).4(3).12.12.12.12(2)5 7 11 18 44 61 64 89 151 203
65 5 13.3.3.3.4(3).4(3).12.12.12.12(2)5 7 11 18 44 61 64 89 151 203
66 5 13.3.3.3.4(3).4(3).12.12.12.12(2)5 7 11 18 44 61 64 89 151 203
67 5 13.3.3.3.4(3).4(3).12.12.12.12(2)5 7 11 18 44 61 64 89 151 203
68 5 13.3.3.3.4(3).4(3).12.12.12.12(2)5 7 11 18 44 61 64 89 151 203
69 5 13.3.3.3.4(3).4(3).12.12.12.12(2)5 7 11 18 44 61 64 89 151 203
70 5 13.3.3.3.4(3).4(3).12.12.12.12(2)5 7 11 18 44 61 64 89 151 203
71 5 13.3.3.3.4(3).4(3).12.12.12.12(2)5 7 11 18 44 61 64 89 151 203
72 3 23.12(3).12(3)3 6 13 19 28 48 78 102 109 159
73 3 23.12(3).12(3)3 6 13 19 28 48 78 102 109 159
74 3 23.12(3).12(3)3 6 13 19 28 48 78 102 109 159
75 3 23.12(3).12(3)3 6 13 19 28 48 78 102 109 159
76 3 23.12(3).12(3)3 6 13 19 28 48 78 102 109 159
77 3 23.12(3).12(3)3 6 13 19 28 48 78 102 109 159
78 3 23.12(3).12(3)3 6 13 19 28 48 78 102 109 159
79 3 23.12(3).12(3)3 6 13 19 28 48 78 102 109 159
80 3 23.12(3).12(3)3 6 13 19 28 48 78 102 109 159
81 3 23.12(3).12(3)3 6 13 19 28 48 78 102 109 159
82 3 23.12(3).12(3)3 6 13 19 28 48 78 102 109 159
83 3 23.12(3).12(3)3 6 13 19 28 48 78 102 109 159
84 3 23.12(3).12(3)3 6 13 19 28 48 78 102 109 159
85 3 23.12(3).12(3)3 6 13 19 28 48 78 102 109 159
86 3 23.12(3).12(3)3 6 13 19 28 48 78 102 109 159
87 3 23.12(3).12(3)3 6 13 19 28 48 78 102 109 159
88 3 23.12(3).12(3)3 6 13 19 28 48 78 102 109 159
89 3 23.12(3).12(3)3 6 13 19 28 48 78 102 109 159
90 3 23.12(3).12(3)3 6 13 19 28 48 78 102 109 159
91 3 23.12(3).12(3)3 6 13 19 28 48 78 102 109 159
92 3 23.12(3).12(3)3 6 13 19 28 48 78 102 109 159
93 3 23.12(3).12(3)3 6 13 19 28 48 78 102 109 159
94 3 23.12(3).12(3)3 6 13 19 28 48 78 102 109 159
95 3 23.12(3).12(3)3 6 13 19 28 48 78 102 109 159
96 3 13.12(2).12(3)3 6 13 19 28 49 79 100 112 154
97 3 13.12(2).12(3)3 6 13 19 28 49 79 100 112 154
98 3 13.12(2).12(3)3 6 13 19 28 49 79 100 112 154
99 3 13.12(2).12(3)3 6 13 19 28 49 79 100 112 154
100 3 13.12(2).12(3)3 6 13 19 28 49 79 100 112 154
101 3 13.12(2).12(3)3 6 13 19 28 49 79 100 112 154
102 3 13.12(2).12(3)3 6 13 19 28 49 79 100 112 154
103 3 13.12(2).12(3)3 6 13 19 28 49 79 100 112 154
104 3 13.12(2).12(3)3 6 13 19 28 49 79 100 112 154
105 3 13.12(2).12(3)3 6 13 19 28 49 79 100 112 154
106 3 13.12(2).12(3)3 6 13 19 28 49 79 100 112 154
107 3 13.12(2).12(3)3 6 13 19 28 49 79 100 112 154
108 3 13.12(2).12(3)3 6 13 19 28 49 79 100 112 154
109 3 13.12(2).12(3)3 6 13 19 28 49 79 100 112 154
110 3 13.12(2).12(3)3 6 13 19 28 49 79 100 112 154
111 3 13.12(2).12(3)3 6 13 19 28 49 79 100 112 154
112 3 13.12(2).12(3)3 6 13 19 28 49 79 100 112 154
113 3 13.12(2).12(3)3 6 13 19 28 49 79 100 112 154
114 3 13.12(2).12(3)3 6 13 19 28 49 79 100 112 154
115 3 13.12(2).12(3)3 6 13 19 28 49 79 100 112 154
116 3 13.12(2).12(3)3 6 13 19 28 49 79 100 112 154
117 3 13.12(2).12(3)3 6 13 19 28 49 79 100 112 154
118 3 13.12(2).12(3)3 6 13 19 28 49 79 100 112 154
119 3 13.12(2).12(3)3 6 13 19 28 49 79 100 112 154
120 3 13.12(2).12(3)3 6 13 19 28 49 79 100 112 154
121 3 13.12(2).12(3)3 6 13 19 28 49 79 100 112 154
122 3 13.12(2).12(3)3 6 13 19 28 49 79 100 112 154
123 3 13.12(2).12(3)3 6 13 19 28 49 79 100 112 154
124 3 13.12(2).12(3)3 6 13 19 28 49 79 100 112 154
125 3 13.12(2).12(3)3 6 13 19 28 49 79 100 112 154
126 3 13.12(2).12(3)3 6 13 19 28 49 79 100 112 154
127 3 13.12(2).12(3)3 6 13 19 28 49 79 100 112 154
128 3 13.12(2).12(3)3 6 13 19 28 49 79 100 112 154
129 3 13.12(2).12(3)3 6 13 19 28 49 79 100 112 154
130 3 13.12(2).12(3)3 6 13 19 28 49 79 100 112 154
131 3 13.12(2).12(3)3 6 13 19 28 49 79 100 112 154
132 3 13.12(2).12(3)3 6 13 19 28 49 79 100 112 154
133 3 13.12(2).12(3)3 6 13 19 28 49 79 100 112 154
134 3 13.12(2).12(3)3 6 13 19 28 49 79 100 112 154
135 3 13.12(2).12(3)3 6 13 19 28 49 79 100 112 154
136 3 13.12(2).12(3)3 6 13 19 28 49 79 100 112 154
137 3 13.12(2).12(3)3 6 13 19 28 49 79 100 112 154
138 3 13.12(2).12(3)3 6 13 19 28 49 79 100 112 154
139 3 13.12(2).12(3)3 6 13 19 28 49 79 100 112 154
140 3 13.12(2).12(3)3 6 13 19 28 49 79 100 112 154
141 3 13.12(2).12(3)3 6 13 19 28 49 79 100 112 154
142 3 13.12(2).12(3)3 6 13 19 28 49 79 100 112 154
143 3 13.12(2).12(3)3 6 13 19 28 49 79 100 112 154

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)
I-43d (No. 220)
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)
24
Repeat-unit factor (mofplus-deposit)
2
RCSR identification (mofplus-deposit)
czz-a
Computed Systre key (mofplus-deposit)
3 1 2 0 0 0 1 3 0 0 0 1 4 0 0 0 1 5 0 0 0 1 6 0 0 0 2 3 0 0 0 2 4 0 0 0 2 7 0 0 0 2 8 0 0 0 3 6 0 0 0 3 8 0 0 0 3 9 0 0 0 4 6 0 0 0 4 8 0 0 0 4 10 0 0 0 5 11 0 0 0 5 12 0 0 0 6 8 0 0 0 6 13 0 0 0 7 14 0 0 0 7 15 0 0 0 8 16 0 0 0 9 17 0 0 0 9 18 0 0 0 10 19 0 0 0 10 20 0 0 0 11 12 0 0 0 11 21 0 0 0 12 22 0 0 0 13 23 0 0 0 13 24 0 0 0 14 15 0 0 0 14 25 0 0 0 15 26 0 0 0 16 27 0 0 0 16 28 0 0 0 17 18 0 0 0 17 29 0 0 0 18 30 0 0 0 19 20 0 0 0 19 31 0 0 0 20 32 0 0 0 21 26 1 0 0 21 33 0 0 0 21 34 0 0 0 21 35 0 0 0 22 30 1 0 0 22 31 0 1 0 22 36 0 0 0 22 37 0 0 0 23 24 0 0 0 23 38 0 0 0 24 39 0 0 0 25 40 0 0 0 25 41 0 0 0 25 42 0 0 0 25 43 0 0 0 26 33 -1 0 0 26 35 -1 0 0 26 44 0 0 0 27 28 0 0 0 27 41 0 0 1 28 45 0 0 0 29 39 -1 1 -1 29 46 0 0 0 29 47 0 0 0 29 48 0 0 0 30 36 -1 0 0 30 37 -1 0 0 30 45 -1 1 -1 31 36 0 -1 0 31 37 0 -1 0 31 45 0 0 -1 32 38 0 -1 0 32 49 0 0 0 32 50 0 0 0 32 51 0 0 0 33 34 0 0 0 33 44 1 0 0 33 52 0 0 0 34 35 0 0 0 34 44 1 0 0 34 53 0 0 0 35 44 1 0 0 35 54 0 0 0 36 45 0 1 -1 36 55 0 0 0 37 45 0 1 -1 37 56 0 0 0 38 49 0 1 0 38 51 0 1 0 38 57 0 0 0 39 46 1 -1 1 39 48 1 -1 1 39 58 0 0 0 40 41 0 0 0 40 42 0 0 0 40 59 0 0 0 40 60 0 0 0 41 43 0 0 0 41 60 0 0 0 42 43 0 0 0 42 60 0 0 0 42 61 0 0 0 43 60 0 0 0 43 62 0 0 0 44 63 0 0 0 46 47 0 0 0 46 58 -1 1 -1 46 64 0 0 0 47 48 0 0 0 47 58 -1 1 -1 47 65 0 0 0 48 58 -1 1 -1 48 66 0 0 0 49 50 0 0 0 49 57 0 -1 0 49 67 0 0 0 50 51 0 0 0 50 57 0 -1 0 50 68 0 0 0 51 57 0 -1 0 51 69 0 0 0 52 62 0 0 0 52 70 0 0 0 53 56 0 -1 0 53 71 0 0 0 54 59 1 0 1 54 72 0 0 0 55 65 0 0 0 55 68 0 1 -1 56 71 0 1 0 57 70 0 0 1 58 72 0 0 0 59 72 -1 0 -1 60 71 -1 1 -1 61 64 0 0 0 61 69 -1 1 -1 62 70 0 0 0 63 66 0 -1 0 63 67 0 0 0 64 69 -1 1 -1 65 68 0 1 -1 66 67 0 1 0
Key against the archive (mofplus-deposit)
the same key, character for character
TD10 as Systre prints it (mofplus-deposit)
610
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)
609.5
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)
609.5
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)
(3.12^2)(3^4.4^2.12^4)
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, 233.3.3.3.4(3).4(3).12.12.12(2).12(2) 3.3.3.3.4.4.12.12.12(2).12(2) 3^4.4^2.12^4 5 7 11 18 44 60 66 88 158 197
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, 713.3.3.3.4(3).4(3).12.12.12.12(2) 3.3.3.3.4.4.12.12.12.12(2) 3^4.4^2.12^4 5 7 11 18 44 61 64 89 151 203
72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 953.12(3).12(3) 3.12(3).12(3) 3.12^2 3 6 13 19 28 48 78 102 109 159
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, 1433.12(2).12(3) 3.12(2).12(3) 3.12^2 3 6 13 19 28 49 79 100 112 154

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

Net point symbol (rcsr-archive-key)
(3.12^2)(3^4.4^2.12^4)
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, 2, 3, 7, 21, 24, 25, 29, 30, 32, 33, 34, 37, 38, 39, 42, 44, 45, 46, 47, 48, 49, 50, 593.3.3.3.4(3).4(3).12.12.12.12(2) 3.3.3.3.4.4.12.12.12.12(2) 3^4.4^2.12^4 5 7 11 18 44 61 64 89 151 203
1, 5, 20, 28, 31, 35, 36, 40, 41, 43, 56, 573.3.3.3.4(3).4(3).12.12.12(2).12(2) 3.3.3.3.4.4.12.12.12(2).12(2) 3^4.4^2.12^4 5 7 11 18 44 60 66 88 158 197
4, 8, 9, 11, 13, 14, 15, 17, 18, 22, 23, 27, 51, 52, 53, 58, 61, 63, 64, 65, 66, 67, 68, 703.12(2).12(3) 3.12(2).12(3) 3.12^2 3 6 13 19 28 49 79 100 112 154
6, 10, 12, 16, 19, 26, 54, 55, 60, 62, 69, 713.12(3).12(3) 3.12(3).12(3) 3.12^2 3 6 13 19 28 48 78 102 109 159

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
czz-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
434 (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
2275 The order the ingest processed this net in, simplest first. A different number from the RCSR index above, meaning a different thing.