The atomic and electronic structures Of III-V-VI(2) ternary chalcogenides (III=Tl, V=Sb and Bi, and VI =Te, Se, and S) have been studied using ab initio electronic structure calculations. Most of these compounds are found to take rhombohedral structures as their lowest energy structures (except-for TlSbS(2), which takes a triclinic structure), in agreement with experiments. There is a disagreement between theory and experiment in the case of TlSbSe(2), wherein our calculations identify a rhombohedral structure (as yet hypothetical), which has lower energy than a monoclinic one (given by experiment). Band-gap formation in these ternaries are controlled by a highly directional hybridization between the cation (Sb, Bi), anion (S, Se, Te), and Tl p states, and the electronic structure near the Fermi level is sensitive to the ordering on the cation sublattice.
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