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A new simple approach to quantitative measures of coordination polyhedra distortions from ideal symmetry is provided with PolyDis. Within the mathematical basis, it minimizes the normalized displacements of given polyhedra to the ideal shape. Applications are discussed, where PolyDis was used to analyze the temperature dependent distortion of LaAlO 3 , rare earth metal radius dependent distortion of  R MnO 3  and the increasing structural distortion of ( A  3 N)As with varying alkaline earth metal, all being perovskites. Additionally, the more complex structures of SrCu R Se 3  and CsCu 3  R  2 Se 5  comprising trigonal prisms, octahedra and tetrahedra are treated with PolyDis.

PolyDis: simple quantification tool for distortion of polyhedra in crystalline solids