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Page 6 of 20      Hamawandi et al. Energy Mater. 2025, 5, 500065  https://dx.doi.org/10.20517/energymater.2024.204

               Electrical and thermal transport property evaluations
               The TE transport measurements were conducted on SPS compressed pellets. The total thermal conductivity
               κ  was estimated using κ  = C ·α·ρ, where C  is the specific heat capacity, α is thermal diffusivity, and ρ is
                                          p
                                                     p
                                     tot
                tot
               the density of mass. C  measurements were performed via Differential Scanning Calorimetry (DSC, PT1000
                                  p
               Linseis). The α was measured on 2 mm thick disk-shaped samples (see Supplementary Figure 3 for sample
               geometry) using the laser flash analysis (LFA 1000, Linseis) system. σ and S measurements were performed
               simultaneously using the commercial ZEM3 ULVAC-RIKO system. A percentage error of 5%-10% is
               possible in calculating the thermal conductivity of Bi Te  and Sb Te  pellets using the laser flash method and
                                                                        3
                                                                     2
                                                           2
                                                              3
               can vary due to several factors, including sample quality and measurement precision [38,39] .
               Data analysis by reverse Monte Carlo simulations
               Experimental extended X-ray absorption fine structure (EXAFS) spectra were extracted from X-ray
                                                     [40]
                                                                                         [41]
               absorption spectra using the XAESA code , following the conventional procedure . The analysis of
               EXAFS spectra employed the RMC method based on the evolutionary algorithm (RMC/EA) implemented
               in the EvAX code [42,43] . The RMC method is an atomistic simulation approach that iteratively minimizes the
               difference between experimental and calculated EXAFS spectra, making random atomic displacements
               within the structure model of the material.


               In this study, an initial structure model was constructed for each temperature point based on lattice
               parameters from the neutron diffraction data . A supercell (4a × 4b × 3c) containing 720 atoms with
                                                       [44]
               periodic boundary conditions was used for calculations. The RMC/EA calculations were performed for 32
               atomic configurations simultaneously. At each iteration, all atoms in the supercell were randomly displaced
               with a maximum allowed shift of 0.4 Å. The configuration-averaged EXAFS spectra were calculated using
               the  ab  initio  self-consistent  real-space  multiple-scattering  (MS)  FEFF8.5L  code [45,46] , considering
               contributions from single, double, and triple scatterings. The complex energy-dependent exchange-
               correlation Hedin-Lundqvist potential was employed to account for inelastic effects . The amplitude
                                                                                          [47]
               scaling parameter is set to 1. Good agreement between experimental and simulated data was achieved in
               both k- and R-spaces simultaneously for two absorption edges (Sb/Bi and Te). This was demonstrated by
               comparing the Morlet wavelet transform (WT) of the respective EXAFS . RMC/EA calculations for Bi Te
                                                                            [48]
                                                                                                       2
                                                                                                         3
                                                                   -1
               and Sb Te  were performed in the k-space range of 3.0-15.4 Å  and the R-space range from 2 to 7.0-7.6 Å for
                        3
                     2
               both (Sb/Bi and Te) metal edges. Note that such a wide range in R-space allows one to determine the partial
               radial distribution functions (RDFs) g(r) of up to about 8 Å. The convergence of each RMC simulation was
               achieved after several thousand iterations. Five RMC/EA simulations with different sequences of pseudo-
               random numbers were performed for each experimental data set. As a result of simulations, 3D structure
               models of the tellurides were obtained at each temperature point and used to calculate the partial RDFs g(r)
               and the average interatomic distances and the mean-square relative displacement (MSRD) factors, also
               known as the Debye-Waller factors. The temperature dependencies of the MSRD factors for the nearest and
               distant coordination shells were further utilized to estimate the effective force constants (f).

               RESULTS AND DISCUSSION
               Structural analysis
               Through MW-assisted thermolysis, it has been possible to synthesize nanostructured materials in an energy
               and time-efficient manner. The synthesis process took about 6 min, with a reaction yield of 98%. Structural
               analysis was performed using XRPD on as-synthesized powders, and after their sintering using SPS. The
               diffraction patterns of as-made and sintered samples are presented in Figure 2, where the diffraction
               patterns are normalized for the most intense diffraction indexed to the (015) plane. For the sintered pellet
               samples, the XRPD analysis was conducted on the surface perpendicular to the sintering direction. The
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