Applying and Practicing of MATLAB Programing for Voronoi Tessellation

Three-dimensional (3D) Voronoi tessellation diagrams are generated by compiling program in MATLAB software. According to these 3D Voronoi cells, crystal structure, even the disorder structure, can be geometrically described and tessellated into the regular object, reflecting the atomic structural parameters, such as the coordination numbers (CN) and the atomic separation. Studying the characteristic of these tessellations, we can find the rule of atomic packing in real space. This Voronoi diagram is also useful in materials structure teaching curriculum and it is the significant basis to realized the atomic structure of the materials. By programing with MATLAB, the abstract concept of Voronoi tessellation are transformed into the lively and understandable computer animation, which can be easily recognized and mastered.