Searching for materials with specific topology or coordination environment One of the applications made possible by the topological classification of materials in the MP database is the search or identification of materials with specific topologies. Computational high-throughput screening studies regularly use multi-objective optimization, i.e., the identification of top-performing materials for several physical or chemical properties, based on constraints on their chemistry ("the material should not contain Pb" or "should contain at least one S atom"), their geometry ("materials with two metal atoms with distance shorter than 2.5 Å"), or other properties ("presence of a cavity of diameter at least 4 Å"). Before our present work, it was not possible to perform searches in the Materials Project database by topology, or coordination of atoms. It is now possible to add criteria such as "structure with a five-coordinated S atom" or "structure with a diamond (dia) or diamond-derived topology (dia-*)".