High-symmetry embeddings of interpenetrating periodic nets. Essential rings and patterns of catenation

被引:42
作者
Bonneau, Charlotte [1 ]
O'Keeffe, Michael [2 ]
机构
[1] Glencroft, Guildford, Surrey, England
[2] Arizona State Univ, Dept Chem & Biochem, Tempe, AZ 86287 USA
来源
ACTA CRYSTALLOGRAPHICA A-FOUNDATION AND ADVANCES | 2015年 / 71卷
基金
美国国家科学基金会;
关键词
3-PERIODIC NETS; BUILDING UNITS; CRYSTAL NETS; NETWORKS; TILINGS; CHEMISTRY; CLASSIFICATION; GRAPHS; ENTANGLEMENTS; FRAMEWORKS;
D O I
10.1107/S2053273314019950
中图分类号
O6 [化学];
学科分类号
0703 ;
摘要
Symmetrical embeddings are given for multiply intergrown sets of some commonly occurring nets such as dia (diamond), qtz (quartz), pcu (net of primitive cubic lattice) and srs (labyrinth net of the G minimal surface). Data are also given for all known pairs of nets which have edge-transitive self-dual tilings. Examples are given for symmetrical polycatenation of the 2-periodic nets sql (square lattice) and hcb (honeycomb). The idea that the rings that are the faces of natural tilings form a complete basis set (essential rings) is explored and patterns of catenation of such rings described. (C) 2015 International Union of Crystallography
引用
收藏
页码:82 / 91
页数:10
相关论文
共 46 条
[1]   COBALT CYANOAURATE - CRYSTAL-STRUCTURE OF A COMPONENT FROM COBALT-HARDENED GOLD ELECTROPLATING BATHS [J].
ABRAHAMS, SC ;
ZYONTZ, LE ;
BERNSTEIN, JL .
JOURNAL OF CHEMICAL PHYSICS, 1982, 76 (11) :5458-5462
[2]   Underlying nets in three-periodic coordination polymers: topology, taxonomy and prediction from a computer-aided analysis of the Cambridge Structural Database [J].
Alexandrov, E. V. ;
Blatov, V. A. ;
Kochetkov, A. V. ;
Proserpio, D. M. .
CRYSTENGCOMM, 2011, 13 (12) :3947-3958
[3]   A topological method for the classification of entanglements in crystal networks [J].
Alexandrov, Eugeny V. ;
Blatov, Vladislav A. ;
Proserpio, Davide M. .
ACTA CRYSTALLOGRAPHICA A-FOUNDATION AND ADVANCES, 2012, 68 :484-493
[4]  
Batten SR, 1998, ANGEW CHEM INT EDIT, V37, P1460, DOI 10.1002/(SICI)1521-3773(19980619)37:11<1460::AID-ANIE1460>3.0.CO
[5]  
2-Z
[6]   Crystal engineering: The effects of pi-pi interactions in copper(I) and silver(I) complexes of 2,7-diazapyrene [J].
Blake, AJ ;
Champness, NR ;
Khlobystov, AN ;
Lemenovskii, DA ;
Li, WS ;
Schroder, M .
CHEMICAL COMMUNICATIONS, 1997, (15) :1339-1340
[7]   Interpenetrating metal-organic and inorganic 3D networks: a computer-aided systematic investigation. Part I. Analysis of the Cambridge structural database [J].
Blatov, VA ;
Carlucci, L ;
Ciani, G ;
Proserpio, DM .
CRYSTENGCOMM, 2004, 6 :377-395
[8]   Three-periodic nets and tilings: natural tilings for nets [J].
Blatov, Vladislav A. ;
Delgado-Friedrichs, Olaf ;
O'Keeffe, Michael ;
Proserpio, Davide M. .
ACTA CRYSTALLOGRAPHICA A-FOUNDATION AND ADVANCES, 2007, 63 :418-425
[9]   Applied Topological Analysis of Crystal Structures with the Program Package ToposPro [J].
Blatov, Vladislav A. ;
Shevchenko, Alexander P. ;
Proserpio, Davide M. .
CRYSTAL GROWTH & DESIGN, 2014, 14 (07) :3576-3586
[10]  
Bragg W. H., 1915, XRAYS CRYSTAL STRUCT, P155