“…Derivative structure enumeration Oxides composed of alkaline earth and transition metal elements, with rutile, perovskite, Ruddlesden-Popper, and orthorhombic Cmcm structures, were used as prototypes for co-doping and isovalent substitutions. Co-doping in rutile TiO 2 and rutile phases 21 of SiO 2 (stishovite) and SnO 2 was explored for boosting the dielectric permittivity in these materials 7,9,13,22 . In rutile prototypes, aliovalent co-doping with III-V (Al 3+ , Ga 3+ , In 3+ , Sc 3+ , Y 3+ , La 3+ -V 5+ , Nb 5+ , Ta 5+ ) and II-VI (Mg 2+ , Ca 2+ , Sr 2+ , Ba 2+ -Cr 6+ , Mo 6+ , W 6+ ) ions was performed at the X=Ti 4+ /Si 4+ /Sn 4+ cation sites, with the general formula A (4-δ)+ B (4+δ)+ X 2 O 8 , with δ=1,2.…”