Double perovskites containing hexavalent molybdenum and tungsten: synthesis, structural investigation and proposal of a fitness factor to discriminate the crystal symmetry

Abstract
Double perovskites A II 2 B II B VI O 6 (A II =Ba, Sr, Ca; B II =Mg, Ni, Co, Cd, Ca; B VI =W, Mo, W 0.5 Mo 0.5 ) have been synthesized and their crystal structures investigated by powder X-ray diffraction measurements. In order to discriminate the crystal systems of the double perovskites, a fitness factor is proposed which corresponds to the size matching between the A cation and the cubo-octahedral cavity formed by eight BO 6 octahedrons. The fitness factor can discriminate the crystal systems of obtained compounds more exactly than the well known tolerance factor.