International audienceThe introduction of hexavalent T6+ cations in p-type thermoelectric colusites Cu26T2Ge6S32 (T = Cr, Mo, W) leads to the highest power factors among iono-covalent sulfides, ranging from 1.17 mW m(-1) K-2 at 700 K for W to a value of 1.94 mW m(-1) K-2 for Cr. In Cu26Cr2Ge6S32, ZT reaches values close to unity at 700 K. The improvement of the transport properties in these new sulfides is explained on the basis of electronic structure and transport calculations keeping in mind that the relaxation time is significantly influenced by the size and the electronegativity of the interstitial T cation. The rationale is based on the concept of a conductive "Cu-S" network, which in colusites corresponds to the more symmetric parent...