Vertex-, face-, point-, Schlafli-, and Delaney-symbols in nets, polyhedra and tilings: recommended terminology

被引:706
作者
Blatov, V. A. [1 ]
O'Keeffe, M. [2 ]
Proserpio, D. M. [3 ]
机构
[1] Samara State Univ, Samara 443011, Russia
[2] Arizona State Univ, Dept Chem & Biochem, Tempe, AZ 85287 USA
[3] Univ Milan, DCSSI, I-20133 Milan, Italy
来源
CRYSTENGCOMM | 2010年 / 12卷 / 01期
基金
美国国家科学基金会;
关键词
4-CONNECTED 3-DIMENSIONAL NETS; FRAMEWORK SILICATES; DESIGN; CLASSIFICATION; ENUMERATION; CHEMISTRY; NETWORK;
D O I
10.1039/b910671e
中图分类号
O6 [化学];
学科分类号
0703 ;
摘要
We review the various kinds of symbols used to characterize the topology of vertices in 3-periodic nets, tiles and polyhedra, and symbols for tilings, making a recommendation for uniform nomenclature where there is some confusion and misapplication of terminology.
引用
收藏
页码:44 / 48
页数:5
相关论文
共 43 条
  • [1] [Anonymous], 1972, CRYSTAL CHEM PHYS ME
  • [2] [Anonymous], 1961, Mathematical models
  • [3] Baerlocher C., 2001, ATLAS ZEOLITE FRAMEW
  • [4] Batten SR, 2009, COORDINATION POLYMERS: DESIGN, ANALYSIS AND APPLICATION, P1
  • [5] Blatov V. A., 2006, IUCr CompComm Newsletter, V7, P4, DOI DOI 10.1039/B807165A
  • [6] Three-periodic nets and tilings: natural tilings for nets
    Blatov, Vladislav A.
    Delgado-Friedrichs, Olaf
    O'Keeffe, Michael
    Proserpio, Davide M.
    [J]. ACTA CRYSTALLOGRAPHICA A-FOUNDATION AND ADVANCES, 2007, 63 : 418 - 425
  • [7] An unprecedented triply interpenetrated chiral network of 'square-planar' metal centres from the self-assembly of copper(II) nitrate and 1,2-bis(4-pyridyl)ethyne
    Carlucci, L
    Ciani, G
    Macchi, P
    Proserpio, DM
    [J]. CHEMICAL COMMUNICATIONS, 1998, (17) : 1837 - 1838
  • [8] CARLUCCI L, 2007, NETWORKS TOPOLOGIES, P58
  • [9] Conway JH., 2016, The Symmetries of things, DOI [10.1201/b21368, DOI 10.1201/B21368]
  • [10] Coxeter H. S. M., 1973, Regular polytopes, V3rd