Abstract
Spin-flip Raman scattering (SFRS) from donor-bound electrons in II-VI diluted magnetic semiconductors (DMSs) containing 3$d$ transition-metal ions, e.g., Cd${}_{1\ensuremath{-}x}$Cr${}_{x}$Se and Cd${}_{1\ensuremath{-}x}$V${}_{x}$Se, allows one to explore the exchange interaction between the conduction band or donor electrons with the 3$d$ magnetic ions, which is the so-called $s$-$d$ exchange interaction. The $s$-$d$ exchange energy, being the SFRS Raman shift after subtracting the intrinsic Zeeman splitting characterized by ${g}^{*}=0.52$ for CdSe, together with the magnetization measurements of those DMSs, allow one to deduce the $s$-$d$ exchange constant ${N}_{0}\ensuremath{\alpha}$. For Cd${}_{1\ensuremath{-}x}$Cr${}_{x}$Se and Cd${}_{1\ensuremath{-}x}$V${}_{x}$Se, the ${N}_{0}\ensuremath{\alpha}$ values are $210\ifmmode\pm\else\textpm\fi{}13$ and $269\ifmmode\pm\else\textpm\fi{}10$ meV, respectively.
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