New stories of zeolite structures: Their descriptions, determinations, predictions, and evaluations

Spheres are attracted to each other when they are close, which ensures the close packing of spheres. Spheres also repel each other strongly if they overlap, ensuring the hardness of the spheres. At the beginning of the packing procedure, a small number of hexagonal close packed spheres are placed into the zeolite framework without overlapping any framework atom. An excess of spheres are supplied outside the unit cell. The concept of natural tiling can be one of the solutions. According to the theory of tiling, a three dimensional net can be decomposed into a number of face sharing, edge-sharing, and vertex-sharing three-dimensional polyhedral tiles. The way all of the tiles assemble together is the tiling of the net. By comparing the T-ring graphs corresponding to different probes, one can easily generate preliminary conclusions about the selectivity of mixtures of guest species corresponding to a specific zeolite framework.