Theory of Acceptor-Donor Pairing in Elemental Semiconductors

A theory of pairing for donor-acceptor atom pairs and for donor-atoms-vacancy-acceptor pairs with different states of charge in elemental semiconductors has been developed. A law of mass action for charged pairs $\left(\frac{N_{00}{N}_{-+}}{N_{0+}{N}_{-0\mathrm{}}}\right)=e^{\frac{E_q}{\mathrm{kT}}}$ has been obtained, where $E_q$ is the Coulombic interaction energy between a positive donor and a negative acceptor at nearest-neighbor lattice sites.