Net topology

wxs-a

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

JSON · mfpx

144 vertices and 240 edges in the unit cell. 32 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
P4/mbm (No. 127)
Cell lengths
a = 11.3409 Å, b = 11.3409 Å, c = 5.6952 Å
Cell angles
α = 90.00°, β = 90.00°, γ = 90.00°
Atoms in cell
144
Transitivity pqrs
10, 20, *, *
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 3 0 0 0 2 6 0 0 0 2 7 0 0 0 3 8 0 0 0 3 9 0 0 0 4 7 0 0 0 4 8 0 0 0 4 10 0 0 0 5 11 0 0 0 5 12 0 0 0 6 13 0 0 0 6 14 0 0 0 7 8 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 14 0 0 0 13 23 0 0 0 14 24 0 0 0 15 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 31 0 0 0 21 33 0 0 0 21 34 0 0 0 22 32 1 0 0 22 35 0 0 0 23 36 0 0 0 23 37 0 0 0 23 38 0 0 0 24 39 0 0 0 24 40 0 0 0 25 26 0 0 0 25 38 0 0 0 26 39 -1 0 0 27 28 0 0 0 27 41 0 0 0 28 42 0 0 0 29 41 0 0 0 29 43 0 0 0 29 44 0 0 0 30 42 1 0 0 30 45 0 0 0 31 46 0 0 0 31 47 0 0 0 32 48 0 0 0 33 34 0 0 0 33 46 0 0 0 33 49 0 0 0 34 47 0 0 0 34 50 0 0 0 35 48 1 0 0 35 51 0 0 0 36 37 0 0 0 36 52 0 0 0 36 53 0 0 0 37 54 0 0 0 37 55 0 0 0 38 53 0 0 0 38 55 0 0 0 39 56 0 0 0 40 56 0 0 0 40 57 0 0 0 41 58 0 0 0 41 59 0 0 0 42 60 0 0 0 43 44 0 0 0 43 58 0 0 0 43 61 0 0 0 44 59 0 0 0 44 62 0 0 0 45 60 1 0 0 45 63 0 0 0 46 47 0 0 0 46 64 0 0 0 47 65 0 0 0 48 66 0 0 0 49 57 0 0 0 49 67 0 0 0 50 68 0 0 0 50 69 0 0 0 51 70 0 0 0 51 71 0 0 0 52 72 0 0 0 52 73 0 0 0 53 55 0 0 0 53 74 0 0 0 54 75 0 0 0 54 76 0 0 0 55 77 0 0 0 56 78 0 0 0 57 67 0 0 0 58 59 0 0 0 58 79 0 0 0 59 80 0 0 0 60 81 0 0 0 61 82 0 0 0 61 83 0 0 0 62 84 0 0 0 62 85 0 0 0 63 86 0 0 0 63 87 0 0 0 64 78 -1 0 0 64 88 0 0 0 65 89 0 0 0 65 90 0 0 0 66 91 0 0 0 66 92 0 0 0 67 93 0 0 0 68 69 0 0 0 68 94 0 0 0 69 95 0 0 0 70 71 0 0 0 70 96 0 0 0 71 97 0 0 0 72 73 0 0 0 72 98 0 0 0 73 99 0 0 0 74 100 0 0 0 74 101 0 0 0 75 76 0 0 0 75 102 0 0 0 76 103 0 0 0 77 104 0 0 0 77 105 0 0 0 78 88 1 0 0 79 106 0 0 0 79 107 0 0 0 80 108 0 0 0 80 109 0 0 0 81 110 0 0 0 81 111 0 0 0 82 83 0 0 0 82 112 0 0 0 83 113 0 0 0 84 85 0 0 0 84 114 0 0 0 85 115 0 0 0 86 87 0 0 0 86 116 0 0 0 87 117 0 0 0 88 118 0 0 0 89 90 0 0 0 89 119 0 0 0 90 120 0 0 0 91 92 0 0 0 91 121 0 0 0 92 122 0 0 0 93 115 0 1 0 93 116 0 1 0 93 118 0 0 0 94 98 0 0 1 94 119 0 0 0 94 123 0 0 0 95 102 0 0 1 95 120 1 0 0 96 117 0 0 0 96 121 0 0 0 96 124 0 0 0 97 103 0 0 1 97 112 0 0 1 97 122 0 0 0 98 123 0 0 -1 98 125 0 0 0 99 114 0 1 0 99 126 0 0 0 100 101 0 0 0 100 125 0 0 0 101 126 -1 0 0 102 127 0 0 0 103 112 0 0 0 103 128 0 0 0 104 105 0 0 0 104 127 -1 0 0 105 128 0 0 0 106 107 0 0 0 106 129 0 0 0 107 130 0 0 0 108 109 0 0 0 108 131 0 0 0 109 132 0 0 0 110 111 0 0 0 110 133 0 0 0 111 134 0 0 0 112 129 0 0 0 113 130 1 0 0 113 135 0 0 0 114 131 1 0 0 115 116 0 0 0 115 132 0 0 0 116 133 0 0 0 117 124 0 0 0 117 134 0 0 0 118 132 0 1 0 118 133 0 1 0 119 125 0 0 1 119 136 0 0 0 120 127 -1 0 1 121 134 0 0 0 121 137 0 0 0 122 128 0 0 1 122 129 0 0 1 123 136 0 0 0 123 138 0 0 0 124 137 0 0 0 124 139 0 0 0 125 136 0 0 -1 126 131 1 1 0 128 129 0 0 0 130 140 0 0 0 132 133 0 0 0 134 137 0 0 0 135 140 1 0 0 135 141 0 0 0 136 142 0 0 0 137 143 0 0 0 138 139 0 1 0 138 141 0 1 1 139 141 0 0 1 140 144 0 0 0 142 143 0 1 0 142 144 0 1 1 143 144 0 0 1
(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
a420f8a1226862da330eb6c5a52a5469 (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 P4/mbm, 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 14.12.143 5 7 12 24 38 48 56 68 88
1 3 14.12.143 5 7 12 24 38 48 56 68 88
2 3 14.12.143 5 7 12 24 38 48 56 68 88
3 3 14.12.143 5 7 12 24 38 48 56 68 88
4 3 14.12.143 5 7 12 24 38 48 56 68 88
5 3 14.12.143 5 7 12 24 38 48 56 68 88
6 3 14.12.143 5 7 12 24 38 48 56 68 88
7 3 14.12.143 5 7 12 24 38 48 56 68 88
8 3 14.12.143 5 7 12 24 38 48 56 68 88
9 3 14.12.143 5 7 12 24 38 48 56 68 88
10 3 14.12.143 5 7 12 24 38 48 56 68 88
11 3 14.12.143 5 7 12 24 38 48 56 68 88
12 3 14.12.143 5 7 12 24 38 48 56 68 88
13 3 14.12.143 5 7 12 24 38 48 56 68 88
14 3 14.12.143 5 7 12 24 38 48 56 68 88
15 3 14.12.143 5 7 12 24 38 48 56 68 88
16 3 13.12.133 4 9 15 19 30 48 61 68 85
17 3 13.12.133 4 9 15 19 30 48 61 68 85
18 3 13.12.133 4 9 15 19 30 48 61 68 85
19 3 13.12.133 4 9 15 19 30 48 61 68 85
20 3 13.12.133 4 9 15 19 30 48 61 68 85
21 3 13.12.133 4 9 15 19 30 48 61 68 85
22 3 13.12.133 4 9 15 19 30 48 61 68 85
23 3 13.12.133 4 9 15 19 30 48 61 68 85
24 3 13.12.133 4 9 15 19 30 48 61 68 85
25 3 13.12.133 4 9 15 19 30 48 61 68 85
26 3 13.12.133 4 9 15 19 30 48 61 68 85
27 3 13.12.133 4 9 15 19 30 48 61 68 85
28 3 13.12.133 4 9 15 19 30 48 61 68 85
29 3 13.12.133 4 9 15 19 30 48 61 68 85
30 3 13.12.133 4 9 15 19 30 48 61 68 85
31 3 13.12.133 4 9 15 19 30 48 61 68 85
32 3 13.8.93 5 10 15 20 27 43 64 73 91
33 3 13.8.93 5 10 15 20 27 43 64 73 91
34 3 13.8.93 5 10 15 20 27 43 64 73 91
35 3 13.8.93 5 10 15 20 27 43 64 73 91
36 3 13.8.93 5 10 15 20 27 43 64 73 91
37 3 13.8.93 5 10 15 20 27 43 64 73 91
38 3 13.8.93 5 10 15 20 27 43 64 73 91
39 3 13.8.93 5 10 15 20 27 43 64 73 91
40 3 13.8.93 5 10 15 20 27 43 64 73 91
41 3 13.8.93 5 10 15 20 27 43 64 73 91
42 3 13.8.93 5 10 15 20 27 43 64 73 91
43 3 13.8.93 5 10 15 20 27 43 64 73 91
44 3 13.8.93 5 10 15 20 27 43 64 73 91
45 3 13.8.93 5 10 15 20 27 43 64 73 91
46 3 13.8.93 5 10 15 20 27 43 64 73 91
47 3 13.8.93 5 10 15 20 27 43 64 73 91
48 3 13.8.93 5 10 15 20 27 43 65 71 86
49 3 13.8.93 5 10 15 20 27 43 65 71 86
50 3 13.8.93 5 10 15 20 27 43 65 71 86
51 3 13.8.93 5 10 15 20 27 43 65 71 86
52 3 13.8.93 5 10 15 20 27 43 65 71 86
53 3 13.8.93 5 10 15 20 27 43 65 71 86
54 3 13.8.93 5 10 15 20 27 43 65 71 86
55 3 13.8.93 5 10 15 20 27 43 65 71 86
56 3 13.8.93 5 10 15 20 27 43 65 71 86
57 3 13.8.93 5 10 15 20 27 43 65 71 86
58 3 13.8.93 5 10 15 20 27 43 65 71 86
59 3 13.8.93 5 10 15 20 27 43 65 71 86
60 3 13.8.93 5 10 15 20 27 43 65 71 86
61 3 13.8.93 5 10 15 20 27 43 65 71 86
62 3 13.8.93 5 10 15 20 27 43 65 71 86
63 3 13.8.93 5 10 15 20 27 43 65 71 86
64 3 m3.16(5).16(5)3 4 9 15 19 31 50 62 73 90
65 3 m3.16(5).16(5)3 4 9 15 19 31 50 62 73 90
66 3 m3.16(5).16(5)3 4 9 15 19 31 50 62 73 90
67 3 m3.16(5).16(5)3 4 9 15 19 31 50 62 73 90
68 3 m3.16(5).16(5)3 4 9 15 19 31 50 62 73 90
69 3 m3.16(5).16(5)3 4 9 15 19 31 50 62 73 90
70 3 m3.16(5).16(5)3 4 9 15 19 31 50 62 73 90
71 3 m3.16(5).16(5)3 4 9 15 19 31 50 62 73 90
72 3 13.8.93 5 10 15 20 28 44 62 68 91
73 3 13.8.93 5 10 15 20 28 44 62 68 91
74 3 13.8.93 5 10 15 20 28 44 62 68 91
75 3 13.8.93 5 10 15 20 28 44 62 68 91
76 3 13.8.93 5 10 15 20 28 44 62 68 91
77 3 13.8.93 5 10 15 20 28 44 62 68 91
78 3 13.8.93 5 10 15 20 28 44 62 68 91
79 3 13.8.93 5 10 15 20 28 44 62 68 91
80 3 13.8.93 5 10 15 20 28 44 62 68 91
81 3 13.8.93 5 10 15 20 28 44 62 68 91
82 3 13.8.93 5 10 15 20 28 44 62 68 91
83 3 13.8.93 5 10 15 20 28 44 62 68 91
84 3 13.8.93 5 10 15 20 28 44 62 68 91
85 3 13.8.93 5 10 15 20 28 44 62 68 91
86 3 13.8.93 5 10 15 20 28 44 62 68 91
87 3 13.8.93 5 10 15 20 28 44 62 68 91
88 3 m4.16(4).16(6)3 5 7 12 24 39 53 64 72 87
89 3 m4.16(4).16(6)3 5 7 12 24 39 53 64 72 87
90 3 m4.16(4).16(6)3 5 7 12 24 39 53 64 72 87
91 3 m4.16(4).16(6)3 5 7 12 24 39 53 64 72 87
92 3 m4.16(4).16(6)3 5 7 12 24 39 53 64 72 87
93 3 m4.16(4).16(6)3 5 7 12 24 39 53 64 72 87
94 3 m4.16(4).16(6)3 5 7 12 24 39 53 64 72 87
95 3 m4.16(4).16(6)3 5 7 12 24 39 53 64 72 87
96 4 13.4.4.8.10.104 7 10 14 21 31 43 58 77 99
97 4 13.4.4.8.10.104 7 10 14 21 31 43 58 77 99
98 4 13.4.4.8.10.104 7 10 14 21 31 43 58 77 99
99 4 13.4.4.8.10.104 7 10 14 21 31 43 58 77 99
100 4 13.4.4.8.10.104 7 10 14 21 31 43 58 77 99
101 4 13.4.4.8.10.104 7 10 14 21 31 43 58 77 99
102 4 13.4.4.8.10.104 7 10 14 21 31 43 58 77 99
103 4 13.4.4.8.10.104 7 10 14 21 31 43 58 77 99
104 4 13.4.4.8.10.104 7 10 14 21 31 43 58 77 99
105 4 13.4.4.8.10.104 7 10 14 21 31 43 58 77 99
106 4 13.4.4.8.10.104 7 10 14 21 31 43 58 77 99
107 4 13.4.4.8.10.104 7 10 14 21 31 43 58 77 99
108 4 13.4.4.8.10.104 7 10 14 21 31 43 58 77 99
109 4 13.4.4.8.10.104 7 10 14 21 31 43 58 77 99
110 4 13.4.4.8.10.104 7 10 14 21 31 43 58 77 99
111 4 13.4.4.8.10.104 7 10 14 21 31 43 58 77 99
112 4 13.4.4.8.10.104 7 10 14 21 31 43 58 76 103
113 4 13.4.4.8.10.104 7 10 14 21 31 43 58 76 103
114 4 13.4.4.8.10.104 7 10 14 21 31 43 58 76 103
115 4 13.4.4.8.10.104 7 10 14 21 31 43 58 76 103
116 4 13.4.4.8.10.104 7 10 14 21 31 43 58 76 103
117 4 13.4.4.8.10.104 7 10 14 21 31 43 58 76 103
118 4 13.4.4.8.10.104 7 10 14 21 31 43 58 76 103
119 4 13.4.4.8.10.104 7 10 14 21 31 43 58 76 103
120 4 13.4.4.8.10.104 7 10 14 21 31 43 58 76 103
121 4 13.4.4.8.10.104 7 10 14 21 31 43 58 76 103
122 4 13.4.4.8.10.104 7 10 14 21 31 43 58 76 103
123 4 13.4.4.8.10.104 7 10 14 21 31 43 58 76 103
124 4 13.4.4.8.10.104 7 10 14 21 31 43 58 76 103
125 4 13.4.4.8.10.104 7 10 14 21 31 43 58 76 103
126 4 13.4.4.8.10.104 7 10 14 21 31 43 58 76 103
127 4 13.4.4.8.10.104 7 10 14 21 31 43 58 76 103
128 4 13.4.4.8.10.104 7 10 14 21 32 44 55 75 104
129 4 13.4.4.8.10.104 7 10 14 21 32 44 55 75 104
130 4 13.4.4.8.10.104 7 10 14 21 32 44 55 75 104
131 4 13.4.4.8.10.104 7 10 14 21 32 44 55 75 104
132 4 13.4.4.8.10.104 7 10 14 21 32 44 55 75 104
133 4 13.4.4.8.10.104 7 10 14 21 32 44 55 75 104
134 4 13.4.4.8.10.104 7 10 14 21 32 44 55 75 104
135 4 13.4.4.8.10.104 7 10 14 21 32 44 55 75 104
136 4 13.4.4.8.10.104 7 10 14 21 32 44 55 75 104
137 4 13.4.4.8.10.104 7 10 14 21 32 44 55 75 104
138 4 13.4.4.8.10.104 7 10 14 21 32 44 55 75 104
139 4 13.4.4.8.10.104 7 10 14 21 32 44 55 75 104
140 4 13.4.4.8.10.104 7 10 14 21 32 44 55 75 104
141 4 13.4.4.8.10.104 7 10 14 21 32 44 55 75 104
142 4 13.4.4.8.10.104 7 10 14 21 32 44 55 75 104
143 4 13.4.4.8.10.104 7 10 14 21 32 44 55 75 104

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)
P4/mbm (No. 127)
Transitivity p, q (mofplus-deposit)
10, 20 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)
16
Repeat-unit factor (mofplus-deposit)
1
RCSR identification (mofplus-deposit)
wxs-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 3 0 0 0 2 6 0 0 0 2 7 0 0 0 3 8 0 0 0 3 9 0 0 0 4 7 0 0 0 4 8 0 0 0 4 10 0 0 0 5 11 0 0 0 5 12 0 0 0 6 13 0 0 0 6 14 0 0 0 7 8 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 14 0 0 0 13 23 0 0 0 14 24 0 0 0 15 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 31 0 0 0 21 33 0 0 0 21 34 0 0 0 22 32 1 0 0 22 35 0 0 0 23 36 0 0 0 23 37 0 0 0 23 38 0 0 0 24 39 0 0 0 24 40 0 0 0 25 26 0 0 0 25 38 0 0 0 26 39 -1 0 0 27 28 0 0 0 27 41 0 0 0 28 42 0 0 0 29 41 0 0 0 29 43 0 0 0 29 44 0 0 0 30 42 1 0 0 30 45 0 0 0 31 46 0 0 0 31 47 0 0 0 32 48 0 0 0 33 34 0 0 0 33 46 0 0 0 33 49 0 0 0 34 47 0 0 0 34 50 0 0 0 35 48 1 0 0 35 51 0 0 0 36 37 0 0 0 36 52 0 0 0 36 53 0 0 0 37 54 0 0 0 37 55 0 0 0 38 53 0 0 0 38 55 0 0 0 39 56 0 0 0 40 56 0 0 0 40 57 0 0 0 41 58 0 0 0 41 59 0 0 0 42 60 0 0 0 43 44 0 0 0 43 58 0 0 0 43 61 0 0 0 44 59 0 0 0 44 62 0 0 0 45 60 1 0 0 45 63 0 0 0 46 47 0 0 0 46 64 0 0 0 47 65 0 0 0 48 66 0 0 0 49 57 0 0 0 49 67 0 0 0 50 68 0 0 0 50 69 0 0 0 51 70 0 0 0 51 71 0 0 0 52 72 0 0 0 52 73 0 0 0 53 55 0 0 0 53 74 0 0 0 54 75 0 0 0 54 76 0 0 0 55 77 0 0 0 56 78 0 0 0 57 67 0 0 0 58 59 0 0 0 58 79 0 0 0 59 80 0 0 0 60 81 0 0 0 61 82 0 0 0 61 83 0 0 0 62 84 0 0 0 62 85 0 0 0 63 86 0 0 0 63 87 0 0 0 64 78 -1 0 0 64 88 0 0 0 65 89 0 0 0 65 90 0 0 0 66 91 0 0 0 66 92 0 0 0 67 93 0 0 0 68 69 0 0 0 68 94 0 0 0 69 95 0 0 0 70 71 0 0 0 70 96 0 0 0 71 97 0 0 0 72 73 0 0 0 72 98 0 0 0 73 99 0 0 0 74 100 0 0 0 74 101 0 0 0 75 76 0 0 0 75 102 0 0 0 76 103 0 0 0 77 104 0 0 0 77 105 0 0 0 78 88 1 0 0 79 106 0 0 0 79 107 0 0 0 80 108 0 0 0 80 109 0 0 0 81 110 0 0 0 81 111 0 0 0 82 83 0 0 0 82 112 0 0 0 83 113 0 0 0 84 85 0 0 0 84 114 0 0 0 85 115 0 0 0 86 87 0 0 0 86 116 0 0 0 87 117 0 0 0 88 118 0 0 0 89 90 0 0 0 89 119 0 0 0 90 120 0 0 0 91 92 0 0 0 91 121 0 0 0 92 122 0 0 0 93 115 0 1 0 93 116 0 1 0 93 118 0 0 0 94 98 0 0 1 94 119 0 0 0 94 123 0 0 0 95 102 0 0 1 95 120 1 0 0 96 117 0 0 0 96 121 0 0 0 96 124 0 0 0 97 103 0 0 1 97 112 0 0 1 97 122 0 0 0 98 123 0 0 -1 98 125 0 0 0 99 114 0 1 0 99 126 0 0 0 100 101 0 0 0 100 125 0 0 0 101 126 -1 0 0 102 127 0 0 0 103 112 0 0 0 103 128 0 0 0 104 105 0 0 0 104 127 -1 0 0 105 128 0 0 0 106 107 0 0 0 106 129 0 0 0 107 130 0 0 0 108 109 0 0 0 108 131 0 0 0 109 132 0 0 0 110 111 0 0 0 110 133 0 0 0 111 134 0 0 0 112 129 0 0 0 113 130 1 0 0 113 135 0 0 0 114 131 1 0 0 115 116 0 0 0 115 132 0 0 0 116 133 0 0 0 117 124 0 0 0 117 134 0 0 0 118 132 0 1 0 118 133 0 1 0 119 125 0 0 1 119 136 0 0 0 120 127 -1 0 1 121 134 0 0 0 121 137 0 0 0 122 128 0 0 1 122 129 0 0 1 123 136 0 0 0 123 138 0 0 0 124 137 0 0 0 124 139 0 0 0 125 136 0 0 -1 126 131 1 1 0 128 129 0 0 0 130 140 0 0 0 132 133 0 0 0 134 137 0 0 0 135 140 1 0 0 135 141 0 0 0 136 142 0 0 0 137 143 0 0 0 138 139 0 1 0 138 141 0 1 1 139 141 0 0 1 140 144 0 0 0 142 143 0 1 0 142 144 0 1 1 143 144 0 0 1
Key against the archive (mofplus-deposit)
the same key, character for character
TD10 as Systre prints it (mofplus-deposit)
356
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)
355.55555555555554
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)
355.55555555555554
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)
(3.8.9)6(3.12.13)2(3.16^2)(4.12.14)2(4.16^2)(3.4^2.8.10^2)6
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, 154.12.14 4.12.16(4) 4.12.14 3 5 7 12 24 38 48 56 68 88
16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 313.12.13 3.12.16(5) 3.12.13 3 4 9 15 19 30 48 61 68 85
32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 473.8.9 3.8.16(5) 3.8.9 3 5 10 15 20 27 43 64 73 91
48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 633.8.9 3.8.12 3.8.9 3 5 10 15 20 27 43 65 71 86
64, 65, 66, 67, 68, 69, 70, 713.16(5).16(5) 3.16(5).16(5) 3.16^2 3 4 9 15 19 31 50 62 73 90
72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 873.8.9 3.8.16(5) 3.8.9 3 5 10 15 20 28 44 62 68 91
88, 89, 90, 91, 92, 93, 94, 954.16(4).16(6) 4.16(4).16(6) 4.16^2 3 5 7 12 24 39 53 64 72 87
96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 1113.4.4.8.10.10 3.4.4.8.12.16(2) 3.4^2.8.10^2 4 7 10 14 21 31 43 58 77 99
112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 1273.4.4.8.10.10 3.4.4.8.12.16(2) 3.4^2.8.10^2 4 7 10 14 21 31 43 58 76 103
128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 1433.4.4.8.10.10 3.4.4.8.16(2).16(2) 3.4^2.8.10^2 4 7 10 14 21 32 44 55 75 104

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

Net point symbol (rcsr-archive-key)
(3.8.9)6(3.12.13)2(3.16^2)(4.12.14)2(4.16^2)(3.4^2.8.10^2)6
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, 3, 20, 30, 35, 43, 52, 58, 95, 96, 97, 114, 120, 121, 124, 1313.4.4.8.10.10 3.4.4.8.12.16(2) 3.4^2.8.10^2 4 7 10 14 21 31 43 58 76 103
1, 6, 28, 32, 36, 40, 45, 54, 93, 111, 115, 118, 123, 128, 132, 1363.4.4.8.10.10 3.4.4.8.12.16(2) 3.4^2.8.10^2 4 7 10 14 21 31 43 58 77 99
2, 7, 22, 33, 37, 42, 46, 57, 92, 102, 116, 117, 122, 127, 133, 1353.4.4.8.10.10 3.4.4.8.16(2).16(2) 3.4^2.8.10^2 4 7 10 14 21 32 44 55 75 104
4, 9, 10, 18, 51, 61, 69, 70, 71, 73, 79, 84, 90, 91, 99, 1083.8.9 3.8.16(5) 3.8.9 3 5 10 15 20 27 43 64 73 91
5, 14, 16, 26, 48, 53, 63, 67, 76, 81, 85, 88, 105, 109, 138, 1423.8.9 3.8.12 3.8.9 3 5 10 15 20 27 43 65 71 86
8, 12, 15, 24, 49, 60, 64, 66, 75, 78, 86, 87, 104, 110, 137, 1413.8.9 3.8.16(5) 3.8.9 3 5 10 15 20 28 44 62 68 91
11, 19, 50, 65, 72, 83, 100, 1073.16(5).16(5) 3.16(5).16(5) 3.16^2 3 4 9 15 19 31 50 62 73 90
13, 17, 25, 27, 56, 62, 68, 74, 77, 80, 82, 89, 103, 106, 140, 1433.12.13 3.12.16(5) 3.12.13 3 4 9 15 19 30 48 61 68 85
21, 31, 34, 47, 98, 113, 125, 1304.16(4).16(6) 4.16(4).16(6) 4.16^2 3 5 7 12 24 39 53 64 72 87
23, 29, 38, 39, 41, 44, 55, 59, 94, 101, 112, 119, 126, 129, 134, 1394.12.14 4.12.16(4) 4.12.14 3 5 7 12 24 38 48 56 68 88

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
wxs-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
2670 (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
2262 The order the ingest processed this net in, simplest first. A different number from the RCSR index above, meaning a different thing.