Experimental data of donor-acceptor–pair time-resolved spectroscopy in ${\mathrm{Cd}}_{1\mathrm{-}\mathrm{x}}$${\mathrm{Mn}}_{\mathrm{x}}$Te alloys are used to extract the acceptor binding energy as a function of temperature and composition. This is done between 1.6 and 35 K, and for compositions x≤0.1. The magnetic part of this energy is explained in terms of bound-magnetic-polaron formation. We present a statistical-mechanical theory that goes beyond the Gaussian approximation. It also takes into account the discrete spatial distribution of ${\mathrm{Mn}}^{2+}$ and the fact that the effective spin of the hole is (3/2). Excellent agreement is obtained for the case of x=0.05.

• Received 13 February 1984

DOI:https://doi.org/10.1103/PhysRevB.31.2388