Ion distribution in the region near zero substitution ofGa3+andAl3+in yttrium iron garnet

Abstract

A relation is presented which determines the distribution of diamagnetic cations in yttrium iron garnet in the small-substitution range when the initial slope of the magnetic moment at 0\ifmmode^\circ\else\textdegree\fi{}K vs total substitution is known, and vice versa. The method applies well to the previously studied systems ${{\mathrm{Y}}_{3\ensuremath{-}t}{\mathrm{Ca}}_{t}} [{\mathrm{Fe}}_{2}] ({\mathrm{Si}}_{t}{\mathrm{Fe}}_{3\ensuremath{-}t}){\mathrm{O}}_{12}$, ${{\mathrm{Y}}_{3}}{\mathrm{Ga}}_{t} {\mathrm{Fe}}_{5\ensuremath{-}t} {\mathrm{O}}_{12}$, ${{\mathrm{Y}}_{3}}{\mathrm{Al}}_{t}{\mathrm{Fe}}_{5\ensuremath{-}t}{\mathrm{O}}_{12}$, ${{\mathrm{Y}}_{3\ensuremath{-}t}{\mathrm{Ca}}_{t}}{\mathrm{Ti}}_{t}{\mathrm{Fe}}_{5\ensuremath{-}t}{\mathrm{O}}_{12}$, and ${{\mathrm{Y}}_{3\ensuremath{-}t}{\mathrm{Ca}}_{t}} [{\mathrm{Zr}}_{t}{\mathrm{Fe}}_{2\ensuremath{-}t}] ({\mathrm{Fe}}_{3}){\mathrm{O}}_{12}$.