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Direct Evidence of Cation Disorder in Thermoelectric Lead Chalcogenides PbTe and PbS
Authors:Sofie Kastbjerg  Niels Bindzus  Martin Søndergaard  Simon Johnsen  Nina Lock  Mogens Christensen  Masaki Takata  Mark A. Spackman  Bo Brummerstedt Iversen
Affiliation:1. Center for Materials Crystallography, Department of Chemistry and iNANO, Aarhus University, Langelandsgade 140, DK‐8000 Aarhus C, Denmark;2. Japan Synchrotron Radiation Research Institute, I‐I‐I, Kouto, Sayo‐cho, Sayo‐gun, Hyogo 679‐5198, Japan;3. School of Chemistry and Biochemistry, University of Western Australia, Crawley WA 6009, Australia
Abstract:The extraordinary thermoelectric properties of lead chalcogenides have attracted huge interest in part due to their unexpected low thermal conductivity. Here, it is shown that anharmonicity and large cation disorder are present in both PbTe and PbS, based on elaborate charge density visualization using synchrotron powder X‐ray diffraction (SPXRD) data analyzed with the maximum entropy method (MEM). In both systems, the cation disorder increases with increasing temperature, whereas the Te/S anions appear to be centered on the expected lattice positions. Even at the lowest temperatures of 105 K, the lead ion is on average displaced by ≈0.2 Å from the rock‐salt lattice position, creating a strong phonon scattering mechanism. These findings provide a clue to understanding the excellent thermoelectric performance of crystals with atomic disorder. The SPXRD–MEM approach can be applied in general opening up for widespread characterization of subtle structural features in crystals with unusual properties.
Keywords:thermoelectrics  lead chalcogenides  X‐ray diffraction  maximum entropy method  disorders
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