Echeverría Jorge, Casanova David, Llunell Miquel, Alemany Pere, Alvarez Santiago
Departament de Química Inorgànica, Departament de Química Fisica and Institut de Química Teòrica i Computacional, Universitat de Barcelona, Martí i Franquès 1- 11, 08028 Barcelona, Spain.
Chem Commun (Camb). 2008 Jun 28(24):2717-25. doi: 10.1039/b719615f. Epub 2008 May 1.
Notwithstanding the apparent incompatibility between octahedral and icosahedral symmetries, fragments with the two types of symmetry coexist in many molecules and crystals, as evidenced by continuous shape and symmetry measures. A geometric analysis of Platonic and Archimedean polyhedra and of a variety of molecular and crystal structures strongly suggests that octahedral symmetry is latent in icosahedral polyhedra and vice versa. In this Feature Article, new concepts and structural data from the literature combine to offer a perspective view of complex molecular and extended structures. Its influence on the common cubic packing of icosahedral molecules is discussed for a variety of examples, including water clathrates, dodecahedrane, Buckminsterfullerene, the Pd145 and Mo132 clusters and several intermetallic phases.
尽管八面体和二十面体对称性之间明显不相容，但通过连续的形状和对称性测量证明，具有这两种对称性的片段共存于许多分子和晶体中。对柏拉图多面体和阿基米德多面体以及各种分子和晶体结构的几何分析有力地表明，二十面体多面体中潜藏着八面体对称性，反之亦然。在这篇专题文章中，来自文献的新概念和结构数据相结合，提供了对复杂分子和扩展结构的透视观点。针对包括水包合物、十二面体烷、巴克敏斯特富勒烯、Pd145和Mo132簇以及几种金属间相在内的各种实例，讨论了其对二十面体分子常见立方堆积的影响。
