Crystal Lattice Identification by Coordinates of Their Nodes in Three Dimensional Space

摘要

The problem of crystal lattice identification is considered. Two matching methods were developed to solve this problem: the method based on estimation of the main Bravais cell parameters and the method based on estimation of the Wigner-Seitz cell volume. Both methods include the normalized similarity measures: edge similarity measure and angle similarity measure for Bravais cells and volume similarity measure for Wigner-Seitz cells. The experiments for crystal lattice identification were carried out using these methods and the analysis of derived results is given. The results demonstrate that the best way to identify lattice system type is simultaneous application of all introduced similarity measures.