Three-dimensional lattice structure sphere model

Diffraction of light in two-dimensional lattices and their calculations were known in Laue s time an additional information. They have been the basis for Laue s calculation of three-dimensional diffraction lattices from X-ray experiments as a result he formulated a model of a spatial symmetrical structure of ions in a salt crystal abstract mental model. Laue proposed the use of realistic models in order to better visualize the concepts - but needed irrelevant items like balls, sticks and glue, in order to construct closest packings of spheres or spatial lattice models concrete models. 

Structure and topology of the MOF-5 MOF. (A) The structure of MOF-5 is represented asZnO tetrahedra connected by phenylenedicarboxylate linkers with the formation of a three-dimensional cubic framework, which contains interconnected small pores with a cross section of 0.8 nm, as well as a large spherical pore of1.2(1.5)nmin diameter. The large pore (or cavity) is represented as a sphere, whose diameter is determined by the distance between the van der Waals surfaces of the atoms of the framework, and which is inscribed into the cavity. (B) The topology of the MOF-5 structure (a primitive cubic lattice) represented as a ball and rod model. (C) The model shows a way of connection for (OZn )O j clusters and phenylenedicarboxylate ions. From Tranchemonta e DJ, HuntJR, Ya i OM. Tetrahedron 2008 64 8553-8357 with permission. 

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