Net topology

mgz-x-d-e

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

136 vertices and 408 edges in the unit cell. 104 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: P63/mmc (No. 194)
Cell lengths: a = 5.3658 Å, b = 5.3658 Å, c = 8.7742 Å
Cell angles: α = 90.00°, β = 90.00°, γ = 120.00°
Atoms in cell: 136
Transitivity pqrs: 11, 24, *, *
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 1 7 0 0 0 2 3 0 0 0 2 4 0 0 0 2 8 0 0 0 2 9 0 0 0 2 10 0 0 0 3 4 0 0 0 3 11 0 0 0 3 12 0 0 0 3 13 0 0 0 4 14 0 0 0 4 15 0 0 0 4 16 0 0 0 5 6 0 0 0 5 7 0 0 0 5 17 0 0 0 5 18 0 0 0 5 19 0 0 0 6 7 0 0 0 6 20 0 0 0 6 21 0 0 0 6 22 0 0 0 7 23 0 0 0 7 24 0 0 0 7 25 0 0 0 8 9 0 0 0 8 10 0 0 0 8 26 0 0 0 8 27 0 0 0 8 28 0 0 0 9 10 0 0 0 9 29 0 0 0 9 30 0 0 0 9 31 0 0 0 10 17 0 0 0 10 32 0 0 0 10 33 0 0 0 11 12 0 0 0 11 13 0 0 0 11 31 0 0 0 11 34 0 0 0 11 35 0 0 0 12 13 0 0 0 12 21 0 0 0 12 36 0 0 0 12 37 0 0 0 13 38 0 0 0 13 39 0 0 0 13 40 0 0 0 14 15 0 0 0 14 16 0 0 0 14 41 0 0 0 14 42 0 0 0 14 43 0 0 0 15 16 0 0 0 15 39 0 0 0 15 44 0 0 0 15 45 0 0 0 16 24 0 0 0 16 46 0 0 0 16 47 0 0 0 17 18 0 0 0 17 19 0 0 0 17 32 0 0 0 17 33 0 0 0 18 19 0 0 0 18 48 0 0 0 18 49 0 0 0 18 50 0 0 0 19 51 0 0 0 19 52 0 0 0 19 53 0 0 0 20 21 0 0 0 20 22 0 0 0 20 50 0 0 0 20 54 0 0 0 20 55 0 0 0 21 22 0 0 0 21 36 0 0 0 21 37 0 0 0 22 27 1 0 0 22 56 0 0 0 22 57 0 0 0 23 24 0 0 0 23 25 0 0 0 23 29 0 1 0 23 53 0 0 0 23 58 0 0 0 24 25 0 0 0 24 46 0 0 0 24 47 0 0 0 25 34 0 1 0 25 57 0 0 0 25 59 0 0 0 26 27 0 0 0 26 28 0 0 0 26 37 -1 0 0 26 58 0 -1 0 26 60 0 0 0 27 28 0 0 0 27 56 -1 0 0 27 57 -1 0 0 28 41 0 0 0 28 61 0 0 0 28 62 0 0 0 29 30 0 0 0 29 31 0 0 0 29 53 0 -1 0 29 58 0 -1 0 30 31 0 0 0 30 63 0 0 0 30 64 0 0 0 30 65 0 0 0 31 34 0 0 0 31 35 0 0 0 32 33 0 0 0 32 56 -1 0 0 32 66 0 0 0 32 67 0 0 0 33 64 0 0 0 33 68 0 0 0 33 69 0 0 0 34 35 0 0 0 34 57 0 -1 0 34 59 0 -1 0 35 67 1 -1 0 35 70 0 0 0 35 71 0 0 0 36 37 0 0 0 36 51 1 -1 0 36 71 0 0 0 36 72 0 0 0 37 58 1 -1 0 37 60 1 0 0 38 39 0 0 0 38 40 0 0 0 38 73 0 0 0 38 74 0 0 0 38 75 0 0 0 39 40 0 0 0 39 44 0 0 0 39 45 0 0 0 40 60 1 0 0 40 76 0 0 0 40 77 0 0 0 41 42 0 0 0 41 43 0 0 0 41 61 0 0 0 41 62 0 0 0 42 43 0 0 0 42 78 0 0 0 42 79 0 0 0 42 80 0 0 0 43 75 -1 1 0 43 81 0 0 0 43 82 0 0 0 44 45 0 0 0 44 80 0 0 0 44 83 0 0 0 44 84 0 0 0 45 85 0 0 0 45 86 0 0 0 45 87 0 0 0 46 47 0 0 0 46 76 -1 1 0 46 82 0 0 0 46 88 0 0 0 47 85 0 0 0 47 89 0 0 0 47 90 0 0 0 48 49 0 0 0 48 50 0 0 0 48 69 0 0 0 48 91 0 0 0 48 92 0 0 0 49 50 0 0 0 49 93 0 0 0 49 94 0 0 0 49 95 0 0 0 50 54 0 0 0 50 55 0 0 0 51 52 0 0 0 51 53 0 0 0 51 71 -1 1 0 51 72 -1 1 0 52 53 0 0 0 52 63 0 1 0 52 94 0 0 0 52 96 0 0 0 53 58 0 0 0 54 55 0 0 0 54 72 0 0 0 54 97 0 0 0 54 98 0 0 0 55 66 1 0 0 55 99 0 0 0 55 100 0 0 0 56 57 0 0 0 56 66 1 0 0 56 67 1 0 0 57 59 0 0 0 58 60 0 1 0 59 62 1 0 0 59 73 0 1 0 59 90 0 0 0 60 76 -1 0 0 60 77 -1 0 0 61 62 0 0 0 61 77 -1 0 0 61 87 -1 0 0 61 101 0 0 0 62 73 -1 1 0 62 90 -1 0 0 63 64 0 0 0 63 65 0 0 0 63 94 0 -1 0 63 96 0 -1 0 64 65 0 0 0 64 68 0 0 0 64 69 0 0 0 65 70 0 0 0 65 102 0 0 0 65 103 0 0 0 66 67 0 0 0 66 99 -1 0 0 66 100 -1 0 0 67 70 -1 1 0 67 71 -1 1 0 68 69 0 0 0 68 100 -1 0 0 68 104 0 0 0 68 105 0 0 0 69 91 0 0 0 69 92 0 0 0 70 71 0 0 0 70 102 0 0 0 70 103 0 0 0 71 72 0 0 0 72 97 0 0 0 72 98 0 0 0 73 74 0 0 0 73 75 0 0 0 73 90 0 -1 0 74 75 0 0 0 74 83 0 0 0 74 106 0 0 0 74 107 0 0 0 75 81 1 -1 0 75 82 1 -1 0 76 77 0 0 0 76 82 1 -1 0 76 88 1 -1 0 77 87 0 0 0 77 101 1 0 0 78 79 0 0 0 78 80 0 0 0 78 101 0 0 0 78 108 0 0 0 78 109 0 0 0 79 80 0 0 0 79 110 0 0 0 79 111 0 0 0 79 112 0 0 0 80 83 0 0 0 80 84 0 0 0 81 82 0 0 0 81 111 0 0 0 81 113 0 0 0 81 114 0 0 0 82 88 0 0 0 83 84 0 0 0 83 106 0 0 0 83 107 0 0 0 84 115 0 0 0 84 116 0 0 0 84 117 0 0 0 85 86 0 0 0 85 87 0 0 0 85 89 0 0 0 85 90 0 0 0 86 87 0 0 0 86 117 0 0 0 86 118 0 0 0 86 119 0 0 0 87 101 1 0 0 88 108 0 1 0 88 120 0 0 0 88 121 0 0 0 89 90 0 0 0 89 106 0 1 0 89 121 0 0 0 89 122 0 0 0 91 92 0 0 0 91 112 0 0 1 91 115 0 0 1 91 123 0 0 0 92 97 0 0 0 92 103 0 0 0 92 124 0 0 0 93 94 0 0 0 93 95 0 0 0 93 123 0 0 0 93 125 0 0 0 93 126 0 0 0 94 95 0 0 0 94 96 0 0 0 95 99 0 0 0 95 102 0 1 0 95 127 0 0 0 96 98 -1 1 0 96 104 0 1 0 96 128 0 0 0 97 98 0 0 0 97 103 0 0 0 97 124 0 0 0 98 104 1 0 0 98 128 1 -1 0 99 100 0 0 0 99 102 0 1 0 99 127 0 0 0 100 104 1 0 0 100 105 1 0 0 101 108 0 0 0 101 109 0 0 0 102 103 0 0 0 102 127 0 -1 0 103 124 0 0 0 104 105 0 0 0 104 128 0 -1 0 105 110 0 0 1 105 129 0 0 0 105 130 0 0 0 106 107 0 0 0 106 121 0 -1 0 106 122 0 -1 0 107 113 1 -1 0 107 131 0 0 0 107 132 0 0 0 108 109 0 0 0 108 120 0 -1 0 108 121 0 -1 0 109 119 -1 0 0 109 129 0 0 -1 109 133 0 0 0 110 111 0 0 0 110 112 0 0 0 110 129 0 0 -1 110 130 0 0 -1 111 112 0 0 0 111 113 0 0 0 111 114 0 0 0 112 115 0 0 0 112 123 0 0 -1 113 114 0 0 0 113 131 -1 1 0 113 132 -1 1 0 114 120 0 0 0 114 125 0 0 -1 114 134 0 0 0 115 116 0 0 0 115 117 0 0 0 115 123 0 0 -1 116 117 0 0 0 116 124 0 0 -1 116 132 0 0 0 116 135 0 0 0 117 118 0 0 0 117 119 0 0 0 118 119 0 0 0 118 122 0 0 0 118 126 0 0 -1 118 136 0 0 0 119 129 1 0 -1 119 133 1 0 0 120 121 0 0 0 120 125 0 0 -1 120 134 0 0 0 121 122 0 0 0 122 126 0 0 -1 122 136 0 0 0 123 125 0 0 0 123 126 0 0 0 124 132 0 0 1 124 135 0 0 1 125 126 0 0 0 125 134 0 0 1 126 136 0 0 1 127 130 1 0 0 127 131 0 1 1 127 136 0 0 1 128 133 0 1 1 128 134 0 0 1 128 135 -1 1 1 129 130 0 0 0 129 133 0 0 1 130 131 -1 1 1 130 136 -1 0 1 131 132 0 0 0 131 136 0 -1 0 132 135 0 0 0 133 134 0 -1 0 133 135 -1 0 0 134 135 -1 1 0
(rcsr)The canonical Systre key, copied verbatim from the local RCSR Systre archive of 2019-06-01 — and corroborated here rather than carried on the word of the archive alone. Systre 19.6.0 was run on the MOF+ deposit, the graph of the uploaded topology file and computed the same key, character for character, so two independent statements of the canonical form of this net agree. The computed key is served under topology.symmetry with the graph it was computed from and the version that computed it. The checksum beside this key is still the one the archive carries, copied from the same block and neither computed nor verified here.
Checksum: a84167ddc9fbbffe3437cd4c4fd74cd5 (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: 136 of 136 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. 136 of 136 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 P63/mmc, 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	6	-6m2	3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)	6 18 36 78 111 180 258 309 384 522
1	6	-6m2	3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)	6 18 36 78 111 180 258 309 384 522
2	6	m	3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)	6 18 37 77 118 172 257 316 396 528
3	6	m	3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)	6 18 37 77 118 172 257 316 396 528
4	6	m	3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)	6 18 37 77 118 172 257 316 396 528
5	6	m	3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)	6 18 37 77 118 172 257 316 396 528
6	6	m	3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)	6 18 37 77 118 172 257 316 396 528
7	6	m	3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)	6 18 37 77 118 172 257 316 396 528
8	6	m	3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)	6 18 37 77 118 172 257 316 396 528
9	6	m	3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)	6 18 37 77 118 172 257 316 396 528
10	6	m	3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)	6 18 37 77 118 172 257 316 396 528
11	6	m	3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)	6 18 37 77 118 172 257 316 396 528
12	6	m	3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)	6 18 37 77 118 172 257 316 396 528
13	6	m	3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)	6 18 37 77 118 172 257 316 396 528
14	6	-6m2	3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)	6 18 36 72 111 152 276 327 372 480
15	6	-6m2	3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)	6 18 36 72 111 152 276 327 372 480
16	6	m	3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)	6 18 36 75 108 170 256 326 386 498
17	6	m	3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)	6 18 36 75 108 170 256 326 386 498
18	6	m	3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)	6 18 36 75 108 170 256 326 386 498
19	6	m	3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)	6 18 36 75 108 170 256 326 386 498
20	6	m	3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)	6 18 36 75 108 170 256 326 386 498
21	6	m	3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)	6 18 36 75 108 170 256 326 386 498
22	6	m	3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)	6 18 36 75 108 170 256 326 386 498
23	6	m	3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)	6 18 36 75 108 170 256 326 386 498
24	6	m	3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)	6 18 36 75 108 170 256 326 386 498
25	6	m	3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)	6 18 36 75 108 170 256 326 386 498
26	6	m	3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)	6 18 36 75 108 170 256 326 386 498
27	6	m	3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)	6 18 36 75 108 170 256 326 386 498
28	6	m	3.3.3.3.3.3.5.5.6.6.6.6.6.6(2).6(2)	6 18 39 80 117 176 246 324 421 528
29	6	m	3.3.3.3.3.3.5.5.6.6.6.6.6.6(2).6(2)	6 18 39 80 117 176 246 324 421 528
30	6	m	3.3.3.3.3.3.5.5.6.6.6.6.6.6(2).6(2)	6 18 39 80 117 176 246 324 421 528
31	6	m	3.3.3.3.3.3.5.5.6.6.6.6.6.6(2).6(2)	6 18 39 80 117 176 246 324 421 528
32	6	m	3.3.3.3.3.3.5.5.6.6.6.6.6.6(2).6(2)	6 18 39 80 117 176 246 324 421 528
33	6	m	3.3.3.3.3.3.5.5.6.6.6.6.6.6(2).6(2)	6 18 39 80 117 176 246 324 421 528
34	6	m	3.3.3.3.3.3.5.5.6.6.6.6.6.6(2).6(2)	6 18 39 80 117 176 246 324 421 528
35	6	m	3.3.3.3.3.3.5.5.6.6.6.6.6.6(2).6(2)	6 18 39 80 117 176 246 324 421 528
36	6	m	3.3.3.3.3.3.5.5.6.6.6.6.6.6(2).6(2)	6 18 39 80 117 176 246 324 421 528
37	6	m	3.3.3.3.3.3.5.5.6.6.6.6.6.6(2).6(2)	6 18 39 80 117 176 246 324 421 528
38	6	m	3.3.3.3.3.3.5.5.6.6.6.6.6.6(2).6(2)	6 18 39 80 117 176 246 324 421 528
39	6	m	3.3.3.3.3.3.5.5.6.6.6.6.6.6(2).6(2)	6 18 39 80 117 176 246 324 421 528
40	6	m	3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)	6 18 37 76 119 169 245 328 410 505
41	6	m	3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)	6 18 37 76 119 169 245 328 410 505
42	6	m	3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)	6 18 37 76 119 169 245 328 410 505
43	6	m	3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)	6 18 37 76 119 169 245 328 410 505
44	6	m	3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)	6 18 37 76 119 169 245 328 410 505
45	6	m	3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)	6 18 37 76 119 169 245 328 410 505
46	6	m	3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)	6 18 37 76 119 169 245 328 410 505
47	6	m	3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)	6 18 37 76 119 169 245 328 410 505
48	6	m	3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)	6 18 37 76 119 169 245 328 410 505
49	6	m	3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)	6 18 37 76 119 169 245 328 410 505
50	6	m	3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)	6 18 37 76 119 169 245 328 410 505
51	6	m	3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)	6 18 37 76 119 169 245 328 410 505
52	6	m	3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)	6 18 38 77 125 180 237 330 414 535
53	6	m	3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)	6 18 38 77 125 180 237 330 414 535
54	6	m	3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)	6 18 38 77 125 180 237 330 414 535
55	6	m	3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)	6 18 38 77 125 180 237 330 414 535
56	6	m	3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)	6 18 38 77 125 180 237 330 414 535
57	6	m	3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)	6 18 38 77 125 180 237 330 414 535
58	6	m	3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)	6 18 38 77 125 180 237 330 414 535
59	6	m	3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)	6 18 38 77 125 180 237 330 414 535
60	6	m	3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)	6 18 38 77 125 180 237 330 414 535
61	6	m	3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)	6 18 38 77 125 180 237 330 414 535
62	6	m	3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)	6 18 38 77 125 180 237 330 414 535
63	6	m	3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)	6 18 38 77 125 180 237 330 414 535
64	6	1	3.3.3.3.3.3.5.5.6.6.6.6.6.6(2).6(2)	6 18 39 80 118 174 247 329 418 522
65	6	1	3.3.3.3.3.3.5.5.6.6.6.6.6.6(2).6(2)	6 18 39 80 118 174 247 329 418 522
66	6	1	3.3.3.3.3.3.5.5.6.6.6.6.6.6(2).6(2)	6 18 39 80 118 174 247 329 418 522
67	6	1	3.3.3.3.3.3.5.5.6.6.6.6.6.6(2).6(2)	6 18 39 80 118 174 247 329 418 522
68	6	1	3.3.3.3.3.3.5.5.6.6.6.6.6.6(2).6(2)	6 18 39 80 118 174 247 329 418 522
69	6	1	3.3.3.3.3.3.5.5.6.6.6.6.6.6(2).6(2)	6 18 39 80 118 174 247 329 418 522
70	6	1	3.3.3.3.3.3.5.5.6.6.6.6.6.6(2).6(2)	6 18 39 80 118 174 247 329 418 522
71	6	1	3.3.3.3.3.3.5.5.6.6.6.6.6.6(2).6(2)	6 18 39 80 118 174 247 329 418 522
72	6	1	3.3.3.3.3.3.5.5.6.6.6.6.6.6(2).6(2)	6 18 39 80 118 174 247 329 418 522
73	6	1	3.3.3.3.3.3.5.5.6.6.6.6.6.6(2).6(2)	6 18 39 80 118 174 247 329 418 522
74	6	1	3.3.3.3.3.3.5.5.6.6.6.6.6.6(2).6(2)	6 18 39 80 118 174 247 329 418 522
75	6	1	3.3.3.3.3.3.5.5.6.6.6.6.6.6(2).6(2)	6 18 39 80 118 174 247 329 418 522
76	6	1	3.3.3.3.3.3.5.5.6.6.6.6.6.6(2).6(2)	6 18 39 80 118 174 247 329 418 522
77	6	1	3.3.3.3.3.3.5.5.6.6.6.6.6.6(2).6(2)	6 18 39 80 118 174 247 329 418 522
78	6	1	3.3.3.3.3.3.5.5.6.6.6.6.6.6(2).6(2)	6 18 39 80 118 174 247 329 418 522
79	6	1	3.3.3.3.3.3.5.5.6.6.6.6.6.6(2).6(2)	6 18 39 80 118 174 247 329 418 522
80	6	1	3.3.3.3.3.3.5.5.6.6.6.6.6.6(2).6(2)	6 18 39 80 118 174 247 329 418 522
81	6	1	3.3.3.3.3.3.5.5.6.6.6.6.6.6(2).6(2)	6 18 39 80 118 174 247 329 418 522
82	6	1	3.3.3.3.3.3.5.5.6.6.6.6.6.6(2).6(2)	6 18 39 80 118 174 247 329 418 522
83	6	1	3.3.3.3.3.3.5.5.6.6.6.6.6.6(2).6(2)	6 18 39 80 118 174 247 329 418 522
84	6	1	3.3.3.3.3.3.5.5.6.6.6.6.6.6(2).6(2)	6 18 39 80 118 174 247 329 418 522
85	6	1	3.3.3.3.3.3.5.5.6.6.6.6.6.6(2).6(2)	6 18 39 80 118 174 247 329 418 522
86	6	1	3.3.3.3.3.3.5.5.6.6.6.6.6.6(2).6(2)	6 18 39 80 118 174 247 329 418 522
87	6	1	3.3.3.3.3.3.5.5.6.6.6.6.6.6(2).6(2)	6 18 39 80 118 174 247 329 418 522
88	6	1	3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)	6 18 37 77 114 178 245 320 412 519
89	6	1	3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)	6 18 37 77 114 178 245 320 412 519
90	6	1	3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)	6 18 37 77 114 178 245 320 412 519
91	6	1	3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)	6 18 37 77 114 178 245 320 412 519
92	6	1	3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)	6 18 37 77 114 178 245 320 412 519
93	6	1	3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)	6 18 37 77 114 178 245 320 412 519
94	6	1	3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)	6 18 37 77 114 178 245 320 412 519
95	6	1	3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)	6 18 37 77 114 178 245 320 412 519
96	6	1	3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)	6 18 37 77 114 178 245 320 412 519
97	6	1	3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)	6 18 37 77 114 178 245 320 412 519
98	6	1	3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)	6 18 37 77 114 178 245 320 412 519
99	6	1	3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)	6 18 37 77 114 178 245 320 412 519
100	6	1	3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)	6 18 37 77 114 178 245 320 412 519
101	6	1	3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)	6 18 37 77 114 178 245 320 412 519
102	6	1	3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)	6 18 37 77 114 178 245 320 412 519
103	6	1	3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)	6 18 37 77 114 178 245 320 412 519
104	6	1	3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)	6 18 37 77 114 178 245 320 412 519
105	6	1	3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)	6 18 37 77 114 178 245 320 412 519
106	6	1	3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)	6 18 37 77 114 178 245 320 412 519
107	6	1	3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)	6 18 37 77 114 178 245 320 412 519
108	6	1	3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)	6 18 37 77 114 178 245 320 412 519
109	6	1	3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)	6 18 37 77 114 178 245 320 412 519
110	6	1	3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)	6 18 37 77 114 178 245 320 412 519
111	6	1	3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)	6 18 37 77 114 178 245 320 412 519
112	6	m	3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)	6 18 38 76 129 173 237 333 422 520
113	6	m	3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)	6 18 38 76 129 173 237 333 422 520
114	6	m	3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)	6 18 38 76 129 173 237 333 422 520
115	6	m	3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)	6 18 38 76 129 173 237 333 422 520
116	6	m	3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)	6 18 38 76 129 173 237 333 422 520
117	6	m	3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)	6 18 38 76 129 173 237 333 422 520
118	6	m	3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)	6 18 38 76 129 173 237 333 422 520
119	6	m	3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)	6 18 38 76 129 173 237 333 422 520
120	6	m	3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)	6 18 38 76 129 173 237 333 422 520
121	6	m	3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)	6 18 38 76 129 173 237 333 422 520
122	6	m	3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)	6 18 38 76 129 173 237 333 422 520
123	6	m	3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)	6 18 38 76 129 173 237 333 422 520
124	6	2	3.3.3.3.3.3.5.5.6.6.6.6.6.6(2).6(2)	6 18 39 80 117 176 246 324 423 526
125	6	2	3.3.3.3.3.3.5.5.6.6.6.6.6.6(2).6(2)	6 18 39 80 117 176 246 324 423 526
126	6	2	3.3.3.3.3.3.5.5.6.6.6.6.6.6(2).6(2)	6 18 39 80 117 176 246 324 423 526
127	6	2	3.3.3.3.3.3.5.5.6.6.6.6.6.6(2).6(2)	6 18 39 80 117 176 246 324 423 526
128	6	2	3.3.3.3.3.3.5.5.6.6.6.6.6.6(2).6(2)	6 18 39 80 117 176 246 324 423 526
129	6	2	3.3.3.3.3.3.5.5.6.6.6.6.6.6(2).6(2)	6 18 39 80 117 176 246 324 423 526
130	6	2	3.3.3.3.3.3.5.5.6.6.6.6.6.6(2).6(2)	6 18 39 80 117 176 246 324 423 526
131	6	2	3.3.3.3.3.3.5.5.6.6.6.6.6.6(2).6(2)	6 18 39 80 117 176 246 324 423 526
132	6	2	3.3.3.3.3.3.5.5.6.6.6.6.6.6(2).6(2)	6 18 39 80 117 176 246 324 423 526
133	6	2	3.3.3.3.3.3.5.5.6.6.6.6.6.6(2).6(2)	6 18 39 80 117 176 246 324 423 526
134	6	2	3.3.3.3.3.3.5.5.6.6.6.6.6.6(2).6(2)	6 18 39 80 117 176 246 324 423 526
135	6	2	3.3.3.3.3.3.5.5.6.6.6.6.6.6(2).6(2)	6 18 39 80 117 176 246 324 423 526

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): P63/mmc (No. 194)
Transitivity p, q (mofplus-deposit): 11, 24 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): 1
RCSR identification (mofplus-deposit): mgz-x-d-e
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 1 7 0 0 0 2 3 0 0 0 2 4 0 0 0 2 8 0 0 0 2 9 0 0 0 2 10 0 0 0 3 4 0 0 0 3 11 0 0 0 3 12 0 0 0 3 13 0 0 0 4 14 0 0 0 4 15 0 0 0 4 16 0 0 0 5 6 0 0 0 5 7 0 0 0 5 17 0 0 0 5 18 0 0 0 5 19 0 0 0 6 7 0 0 0 6 20 0 0 0 6 21 0 0 0 6 22 0 0 0 7 23 0 0 0 7 24 0 0 0 7 25 0 0 0 8 9 0 0 0 8 10 0 0 0 8 26 0 0 0 8 27 0 0 0 8 28 0 0 0 9 10 0 0 0 9 29 0 0 0 9 30 0 0 0 9 31 0 0 0 10 17 0 0 0 10 32 0 0 0 10 33 0 0 0 11 12 0 0 0 11 13 0 0 0 11 31 0 0 0 11 34 0 0 0 11 35 0 0 0 12 13 0 0 0 12 21 0 0 0 12 36 0 0 0 12 37 0 0 0 13 38 0 0 0 13 39 0 0 0 13 40 0 0 0 14 15 0 0 0 14 16 0 0 0 14 41 0 0 0 14 42 0 0 0 14 43 0 0 0 15 16 0 0 0 15 39 0 0 0 15 44 0 0 0 15 45 0 0 0 16 24 0 0 0 16 46 0 0 0 16 47 0 0 0 17 18 0 0 0 17 19 0 0 0 17 32 0 0 0 17 33 0 0 0 18 19 0 0 0 18 48 0 0 0 18 49 0 0 0 18 50 0 0 0 19 51 0 0 0 19 52 0 0 0 19 53 0 0 0 20 21 0 0 0 20 22 0 0 0 20 50 0 0 0 20 54 0 0 0 20 55 0 0 0 21 22 0 0 0 21 36 0 0 0 21 37 0 0 0 22 27 1 0 0 22 56 0 0 0 22 57 0 0 0 23 24 0 0 0 23 25 0 0 0 23 29 0 1 0 23 53 0 0 0 23 58 0 0 0 24 25 0 0 0 24 46 0 0 0 24 47 0 0 0 25 34 0 1 0 25 57 0 0 0 25 59 0 0 0 26 27 0 0 0 26 28 0 0 0 26 37 -1 0 0 26 58 0 -1 0 26 60 0 0 0 27 28 0 0 0 27 56 -1 0 0 27 57 -1 0 0 28 41 0 0 0 28 61 0 0 0 28 62 0 0 0 29 30 0 0 0 29 31 0 0 0 29 53 0 -1 0 29 58 0 -1 0 30 31 0 0 0 30 63 0 0 0 30 64 0 0 0 30 65 0 0 0 31 34 0 0 0 31 35 0 0 0 32 33 0 0 0 32 56 -1 0 0 32 66 0 0 0 32 67 0 0 0 33 64 0 0 0 33 68 0 0 0 33 69 0 0 0 34 35 0 0 0 34 57 0 -1 0 34 59 0 -1 0 35 67 1 -1 0 35 70 0 0 0 35 71 0 0 0 36 37 0 0 0 36 51 1 -1 0 36 71 0 0 0 36 72 0 0 0 37 58 1 -1 0 37 60 1 0 0 38 39 0 0 0 38 40 0 0 0 38 73 0 0 0 38 74 0 0 0 38 75 0 0 0 39 40 0 0 0 39 44 0 0 0 39 45 0 0 0 40 60 1 0 0 40 76 0 0 0 40 77 0 0 0 41 42 0 0 0 41 43 0 0 0 41 61 0 0 0 41 62 0 0 0 42 43 0 0 0 42 78 0 0 0 42 79 0 0 0 42 80 0 0 0 43 75 -1 1 0 43 81 0 0 0 43 82 0 0 0 44 45 0 0 0 44 80 0 0 0 44 83 0 0 0 44 84 0 0 0 45 85 0 0 0 45 86 0 0 0 45 87 0 0 0 46 47 0 0 0 46 76 -1 1 0 46 82 0 0 0 46 88 0 0 0 47 85 0 0 0 47 89 0 0 0 47 90 0 0 0 48 49 0 0 0 48 50 0 0 0 48 69 0 0 0 48 91 0 0 0 48 92 0 0 0 49 50 0 0 0 49 93 0 0 0 49 94 0 0 0 49 95 0 0 0 50 54 0 0 0 50 55 0 0 0 51 52 0 0 0 51 53 0 0 0 51 71 -1 1 0 51 72 -1 1 0 52 53 0 0 0 52 63 0 1 0 52 94 0 0 0 52 96 0 0 0 53 58 0 0 0 54 55 0 0 0 54 72 0 0 0 54 97 0 0 0 54 98 0 0 0 55 66 1 0 0 55 99 0 0 0 55 100 0 0 0 56 57 0 0 0 56 66 1 0 0 56 67 1 0 0 57 59 0 0 0 58 60 0 1 0 59 62 1 0 0 59 73 0 1 0 59 90 0 0 0 60 76 -1 0 0 60 77 -1 0 0 61 62 0 0 0 61 77 -1 0 0 61 87 -1 0 0 61 101 0 0 0 62 73 -1 1 0 62 90 -1 0 0 63 64 0 0 0 63 65 0 0 0 63 94 0 -1 0 63 96 0 -1 0 64 65 0 0 0 64 68 0 0 0 64 69 0 0 0 65 70 0 0 0 65 102 0 0 0 65 103 0 0 0 66 67 0 0 0 66 99 -1 0 0 66 100 -1 0 0 67 70 -1 1 0 67 71 -1 1 0 68 69 0 0 0 68 100 -1 0 0 68 104 0 0 0 68 105 0 0 0 69 91 0 0 0 69 92 0 0 0 70 71 0 0 0 70 102 0 0 0 70 103 0 0 0 71 72 0 0 0 72 97 0 0 0 72 98 0 0 0 73 74 0 0 0 73 75 0 0 0 73 90 0 -1 0 74 75 0 0 0 74 83 0 0 0 74 106 0 0 0 74 107 0 0 0 75 81 1 -1 0 75 82 1 -1 0 76 77 0 0 0 76 82 1 -1 0 76 88 1 -1 0 77 87 0 0 0 77 101 1 0 0 78 79 0 0 0 78 80 0 0 0 78 101 0 0 0 78 108 0 0 0 78 109 0 0 0 79 80 0 0 0 79 110 0 0 0 79 111 0 0 0 79 112 0 0 0 80 83 0 0 0 80 84 0 0 0 81 82 0 0 0 81 111 0 0 0 81 113 0 0 0 81 114 0 0 0 82 88 0 0 0 83 84 0 0 0 83 106 0 0 0 83 107 0 0 0 84 115 0 0 0 84 116 0 0 0 84 117 0 0 0 85 86 0 0 0 85 87 0 0 0 85 89 0 0 0 85 90 0 0 0 86 87 0 0 0 86 117 0 0 0 86 118 0 0 0 86 119 0 0 0 87 101 1 0 0 88 108 0 1 0 88 120 0 0 0 88 121 0 0 0 89 90 0 0 0 89 106 0 1 0 89 121 0 0 0 89 122 0 0 0 91 92 0 0 0 91 112 0 0 1 91 115 0 0 1 91 123 0 0 0 92 97 0 0 0 92 103 0 0 0 92 124 0 0 0 93 94 0 0 0 93 95 0 0 0 93 123 0 0 0 93 125 0 0 0 93 126 0 0 0 94 95 0 0 0 94 96 0 0 0 95 99 0 0 0 95 102 0 1 0 95 127 0 0 0 96 98 -1 1 0 96 104 0 1 0 96 128 0 0 0 97 98 0 0 0 97 103 0 0 0 97 124 0 0 0 98 104 1 0 0 98 128 1 -1 0 99 100 0 0 0 99 102 0 1 0 99 127 0 0 0 100 104 1 0 0 100 105 1 0 0 101 108 0 0 0 101 109 0 0 0 102 103 0 0 0 102 127 0 -1 0 103 124 0 0 0 104 105 0 0 0 104 128 0 -1 0 105 110 0 0 1 105 129 0 0 0 105 130 0 0 0 106 107 0 0 0 106 121 0 -1 0 106 122 0 -1 0 107 113 1 -1 0 107 131 0 0 0 107 132 0 0 0 108 109 0 0 0 108 120 0 -1 0 108 121 0 -1 0 109 119 -1 0 0 109 129 0 0 -1 109 133 0 0 0 110 111 0 0 0 110 112 0 0 0 110 129 0 0 -1 110 130 0 0 -1 111 112 0 0 0 111 113 0 0 0 111 114 0 0 0 112 115 0 0 0 112 123 0 0 -1 113 114 0 0 0 113 131 -1 1 0 113 132 -1 1 0 114 120 0 0 0 114 125 0 0 -1 114 134 0 0 0 115 116 0 0 0 115 117 0 0 0 115 123 0 0 -1 116 117 0 0 0 116 124 0 0 -1 116 132 0 0 0 116 135 0 0 0 117 118 0 0 0 117 119 0 0 0 118 119 0 0 0 118 122 0 0 0 118 126 0 0 -1 118 136 0 0 0 119 129 1 0 -1 119 133 1 0 0 120 121 0 0 0 120 125 0 0 -1 120 134 0 0 0 121 122 0 0 0 122 126 0 0 -1 122 136 0 0 0 123 125 0 0 0 123 126 0 0 0 124 132 0 0 1 124 135 0 0 1 125 126 0 0 0 125 134 0 0 1 126 136 0 0 1 127 130 1 0 0 127 131 0 1 1 127 136 0 0 1 128 133 0 1 1 128 134 0 0 1 128 135 -1 1 1 129 130 0 0 0 129 133 0 0 1 130 131 -1 1 1 130 136 -1 0 1 131 132 0 0 0 131 136 0 -1 0 132 135 0 0 0 133 134 0 -1 0 133 135 -1 0 0 134 135 -1 1 0
Key against the archive (mofplus-deposit): the same key, character for character
TD10 as Systre prints it (mofplus-deposit): 1935
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): 1934.9705882352941
Genus (mofplus-deposit): 273
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): 1934.9705882352941
Genus (rcsr-archive-key): 273
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): (3^6.5^2.6^7)6(3^6.5^3.6^6)11
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	3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)	3.3.3.3.3.3.5.5.5.10.10.10.10.10.10	3^6.5^3.6^6	6 18 36 78 111 180 258 309 384 522
2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13	3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)	3.3.3.3.3.3.5.5.5.10.10.10.10.12.12	3^6.5^3.6^6	6 18 37 77 118 172 257 316 396 528
14, 15	3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)	3.3.3.3.3.3.5.5.5.10.10.10.10.10.10	3^6.5^3.6^6	6 18 36 72 111 152 276 327 372 480
16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27	3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)	3.3.3.3.3.3.5.5.5.10.10.10.10.10.10	3^6.5^3.6^6	6 18 36 75 108 170 256 326 386 498
28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39	3.3.3.3.3.3.5.5.6.6.6.6.6.6(2).6(2)	3.3.3.3.3.3.5.5.6.10.10.12.12.12.12	3^6.5^2.6^7	6 18 39 80 117 176 246 324 421 528
40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51	3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)	3.3.3.3.3.3.5.5.5.10.10.10.10.12.12	3^6.5^3.6^6	6 18 37 76 119 169 245 328 410 505
52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63	3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)	3.3.3.3.3.3.5.5.5.10.10.10.10.12.12	3^6.5^3.6^6	6 18 38 77 125 180 237 330 414 535
64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87	3.3.3.3.3.3.5.5.6.6.6.6.6.6(2).6(2)	3.3.3.3.3.3.5.5.6.10.10.12.12.12.12	3^6.5^2.6^7	6 18 39 80 118 174 247 329 418 522
88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111	3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)	3.3.3.3.3.3.5.5.5.10.10.10.10.12.12	3^6.5^3.6^6	6 18 37 77 114 178 245 320 412 519
112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123	3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)	3.3.3.3.3.3.5.5.5.10.10.10.10.12.12	3^6.5^3.6^6	6 18 38 76 129 173 237 333 422 520
124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135	3.3.3.3.3.3.5.5.6.6.6.6.6.6(2).6(2)	3.3.3.3.3.3.5.5.6.10.10.12.12.12.12	3^6.5^2.6^7	6 18 39 80 117 176 246 324 423 526

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

Net point symbol (rcsr-archive-key): (3^6.5^2.6^7)6(3^6.5^3.6^6)11
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, 6, 11, 14, 26, 36, 38, 46, 47, 48, 56, 60, 76, 89, 96, 97, 98, 99, 114, 115, 125, 128, 132, 135	3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)	3.3.3.3.3.3.5.5.5.10.10.10.10.12.12	3^6.5^3.6^6	6 18 37 77 114 178 245 320 412 519
1, 7, 10, 13, 22, 33, 37, 40, 45, 57, 67, 68, 72, 75, 93, 95, 101, 102, 109, 111, 124, 130, 131, 133	3.3.3.3.3.3.5.5.6.6.6.6.6.6(2).6(2)	3.3.3.3.3.3.5.5.6.10.10.12.12.12.12	3^6.5^2.6^7	6 18 39 80 118 174 247 329 418 522
2, 15, 24, 25, 39, 61, 91, 94, 103, 122, 129, 134	3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)	3.3.3.3.3.3.5.5.5.10.10.10.10.12.12	3^6.5^3.6^6	6 18 38 76 129 173 237 333 422 520
3, 12, 23, 27, 58, 59, 90, 92, 104, 123, 126, 127	3.3.3.3.3.3.5.5.6.6.6.6.6.6(2).6(2)	3.3.3.3.3.3.5.5.6.10.10.12.12.12.12	3^6.5^2.6^7	6 18 39 80 117 176 246 324 423 526
4, 17, 35, 43, 55, 65, 71, 83, 88, 100, 108, 121	3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)	3.3.3.3.3.3.5.5.5.10.10.10.10.12.12	3^6.5^3.6^6	6 18 37 76 119 169 245 328 410 505
5, 20, 21, 44, 49, 53, 54, 84, 86, 116, 117, 118	3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)	3.3.3.3.3.3.5.5.5.10.10.10.10.10.10	3^6.5^3.6^6	6 18 36 75 108 170 256 326 386 498
8, 28, 30, 42, 62, 63, 64, 74, 81, 110, 112, 113	3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)	3.3.3.3.3.3.5.5.5.10.10.10.10.12.12	3^6.5^3.6^6	6 18 37 77 118 172 257 316 396 528
9, 32, 34, 41, 51, 52, 69, 73, 78, 87, 106, 119	3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)	3.3.3.3.3.3.5.5.5.10.10.10.10.12.12	3^6.5^3.6^6	6 18 38 77 125 180 237 330 414 535
16, 18, 31, 50, 66, 70, 77, 79, 82, 105, 107, 120	3.3.3.3.3.3.5.5.6.6.6.6.6.6(2).6(2)	3.3.3.3.3.3.5.5.6.10.10.12.12.12.12	3^6.5^2.6^7	6 18 39 80 117 176 246 324 421 528
19, 85	3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)	3.3.3.3.3.3.5.5.5.10.10.10.10.10.10	3^6.5^3.6^6	6 18 36 72 111 152 276 327 372 480
29, 80	3.3.3.3.3.3.5.5.5.6(2).6(2).6(2).6(2).6(2).6(2)	3.3.3.3.3.3.5.5.5.10.10.10.10.10.10	3^6.5^3.6^6	6 18 36 78 111 180 258 309 384 522

Cross-checks

Name against the computed key: corroborated-by-systre-key
Stored symbols against the computed ones: corroborated: 136 of 136 vertex rows agree with mofpp.rings v2 (mofplus-deposit).
Stored sequences against the computed ones: corroborated: 136 of 136 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: mgz-x-d-e
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: 1288 (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: 2252 The order the ingest processed this net in, simplest first. A different number from the RCSR index above, meaning a different thing.

Download

Topology.mfpx
Metadata.json

Cite this record

MOF++ contributors (2026). mgz-x-d-e [net]. MOF++ dataset release unreleased. Record: https://mofpp.ramabile.casa/net/mgz-x-d-e

Permanent URI: https://mofpp.ramabile.casa/net/mgz-x-d-e
No dataset DOI has been registered yet — cite the URI and the release version. Why per-record DOIs are not minted.

Licence

CC BY 4.0

Creative Commons Attribution 4.0 International. The licence is recorded on the record itself, not site-wide — deposits may arrive under different terms.

Cite the source

Reticular Chemistry Structure Resource (RCSR) asks to be cited:

M. O'Keeffe, M. A. Peskov, S. J. Ramsden and O. M. Yaghi, 'The Reticular Chemistry Structure Resource (RCSR) Database of, and Symbols for, Crystal Nets', Acc. Chem. Res. 2008, 41, 1782-1789. DOI: 10.1021/ar800124u

© 2019 RCSR.net — https://rcsr.anu.edu.au
This reference is for the resource, not for this net. RCSR publishes a primary reference per net, but the Systre archive distributed as RCSRnets-2019-06-01.arc carries an empty 'ref' field in all 2930 records. The citation shown is for the RCSR resource as a whole, not for this net specifically.

From a script

from mofplus import user_api
api = user_api()
api.get_net("mgz-x-d-e")

Or without the client: curl https://mofpp.ramabile.casa/net/mgz-x-d-e.json