Abstract
Engineering of thermoelectric materials requires an understanding of thermal conduction by lattice and electronic degrees of freedom. Filled skutterudites denote a large family of materials suitable for thermoelectric applications where reduced lattice thermal conduction attributed to localized low-frequency vibrations (rattling) of filler cations inside large cages of the structure. In this work, a multi-wavelength method of exploiting x-ray dynamical diffraction in single crystals of CeFe4P12 is presented and applied to resolve the atomic amplitudes of vibrations. The results suggest that the vibrational dynamics of the whole filler-cage system is the actual active mechanism behind the optimization of thermoelectric properties.
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J.G. Snyder and E.S. Toberert: Complex thermoelectric materials. Nat. Mater. 7, 105 (2008).
A.J.H. McGaughey, A. Jain, H.-Y. Kim, and B. Fu: Phonon properties and thermal conductivity from first principles, lattice dynamics, and the Boltzmann transport equation featured. J. Appl. Phys. 125, 011101 (2019).
Y. Zhu, Y. Liu, M. Wood, N.Z. Koocher, Y. Liu, L. Liu, T. Hu, J.M. Rondinelli, J. Hong, G.J. Snyder, and W. Xu: Synergistically optimizing carrier concentration and decreasing sound velocity in n-type AgInSe2 thermoelectrics. Chem. Mater. 31, 8182 (2019).
Z.-Z. Luo, S. Cai, S. Hao, T.P. Bailey, X. Hu, R. Hanus, R. Ma, G. Tan, D.G. Chica, G.J. Snyder, C. Uher, C. Wolverton, V.P. Dravid, Q. Yan, and M.G. Kanatzidis: Ultralow thermal conductivity and high-temperature thermoelectric performance in n-type K2.5Bi8.5Se14. Chem. Mater. 31, 5943 (2019).
T.J. Slade, T.P. Bailey, J.A. Grovogui, X. Hua, X. Zhang, J.J. Kuo, I. Hadar, G.J. Snyder, C. Wolverton, V.P. Dravid, C. Uher, and M.G. Kanatzidis: High thermoelectric performance in PbSe–NaSbSe2 alloys from valence band convergence and low thermal conductivity. Adv. Energy Mater. 9, 1901377 (2019).
Y. Shi, N. Mashmoushi, W. Wegner, P. Jafarzadeh, Z. Sepahi, A. Assouda, and H. Kleinke: Ultralow thermal conductivity of Tl4Ag18Te11. J. Mater. Chem. C 7, 8029 (2019).
H. Liu, J. Liu, R. Jing, and C. You: Anisotropic thermal conductivity in direction-specific black phosphorus nanoflakes. MRS Commun. 9, 1311 (2019).
J. Ding, J.L. Niedziela, D. Bansal, J. Wang, X. He, A.F. May, G. Ehlers, D.L. Abernathy, A. Said, A. Alatas, Y. Ren, G. Arya, and O. Delaire: Anharmonic lattice dynamics and superionic transition in AgCrSe2. Proc. Natl. Acad. Sci. USA 117, 3930 (2020).
R. Gurunathan, R. Hanus, M. Dylla, A. Katre, and G.J. Snyder: Analytical models of phonon–point-defect scattering. Phys. Rev. Appl. 13, 034011 (2020).
K. Imasato, C. Fu, Y. Pan, M. Wood, J.J. Kuo, C. Felser, and G.J. Snyder: Metallic n-type Mg3Sb2 single crystals demonstrate the absence of ionized impurity scattering and enhanced thermoelectric performance. Adv. Mater. 32, 1908218 (2020).
R.P. Hermann, F. Grandjean, and G.J. Long: Einstein oscillators that impede thermal transport. Am. J. Phys. 73, 110 (2005).
W. Jeitschko and D. Braun: LaFe4P12 with filled CoAs3-type structure and isotypic lanthanoid-transition metal polyphosphides. Acta Cryst. B 33, 3401 (1977).
M.H. Elsheikh, M.F.M. Sabri, S.M. Said, Y. Miyazaki, H. Masjuki, D.A. Shnawah, S. Naito, and M.B.A. Bashir: Rapid preparation of bulk AlxYb0.25Co4Sb12 (x = 0, 0.1, 0.2, 0.3) skutterudite thermoelectric materials with high figure of merit ZT = 1.36. J. Mater. Sci. 52, 5324 (2017).
F. Chen, R. Liu, Z. Yao, Y. Xing, S. Bai, and L. Chen: Scanning laser melting for rapid and massive fabrication of filled skutterudites with high thermoelectric performance. J. Mater. Chem. A 6, 6772 (2018).
B.M. Hudak, W. Sun, J. Mackey, A. Ullah, A. Sehirlioglu, F. Dynys, S.T. Pantelides, and B.S. Guiton: Observation of square-planar distortion in lanthanide-doped skutterudite crystals. J. Phys. Chem. C 123, 14632 (2019).
J. Yu, W. Zhu, W. Zhao, Q. Luo, Z. Liu, and H. Chen: Rapid fabrication of pure p-type filled skutterudites with enhanced thermoelectric properties via a reactive liquid-phase sintering. J. Mater. Sci. 55, 7432 (2020).
M.B.A. Bashir, M.F.M. Sabri, S.M. Said, Y. Miyazaki, I.A. Badruddin, D.A.A. Shnawah, E.Y. Salih, S. Abushousha, and M.H. Elsheikh: Enhancement of thermoelectric properties of Co4Sb12 skutterudite by Al and La double filling. J. Solid State Chem. 284, 121205 (2020).
J. Jiang, H. Zhu, Y. Niu, Q. Zhu, S. Song, T. Zhou, C. Wang, and Z. Ren: Achieving high room-temperature thermoelectric performance in cubic AgCuTe. J. Mater. Chem. A 8, 4790 (2020).
J. Yang, G.P. Meisner, D.T. Morelli, and C. Uher: Iron valence in skutterudites: transport and magnetic properties of Co1-xFexSb3. Phys. Rev. B 63, 014410 (2000).
D. Cao, F. Bridges, P. Chesler, S. Bushart, E.D. Bauer, and M.B. Maple: Evidence for rattling behavior of the filler atom (L) in the filled skutterudites LT4X12 (L = Ce, Eu, Yb; T = Fe, Ru; X = P, Sb) from EXAFS studies. Phys. Rev. B 70, 094109 (2004).
M.M. Koza, M.R. Johnson, R. Viennois, H. Mutka, L. Girard, and D. Ravot: Breakdown of phonon glass paradigm in La- and Ce-filled Fe4Sb12 skutterudites. Nat Mater. 7, 805 (2008).
H.L. Parks, A.J.H. McGaughey, and V. Viswanathan: Uncertainty quantification in first-principles predictions of harmonic vibrational frequencies of molecules and molecular complexes. J. Phys. Chem. C 123, 4072 (2019).
Z. Liu, W. Zhu, X. Nie, and W. Zao: Effects of sintering temperature on microstructure and thermoelectric properties of Ce-filled Fe4Sb12 skutterudites. J. Mater. Sci. Mater. Electron. 30, 12493 (2019).
D.B. Menasche, P.A. Shade, and R.M. Suter: Accuracy and precision of near-field high-energy diffraction microscopy forward-model-based microstructure reconstructions. J. Appl. Cryst. 53, 107 (2020).
Y.-F. Shen, S. Maddali, D. Menasche, A. Bhattacharya, G.S. Rohrer, and R.M. Suter: Importance of outliers: a three-dimensional study of coarsening in a-phase iron. Phys. Rev. Mater. 3, 063611 (2019).
Y. Shiraishi, K. Tanabe, H. Taniguchi, R. Okazaki, and I. Terasaki: Interplay between quantum paraelectricity and thermoelectricity in the photo-Seebeck effect in a SrTiO3 single crystal featured. J. Appl. Phys. 126, 045111 (2019).
F. Grandjean, A. Gérard, D.J. Braung, and W. Jeitschko: Some physical properties of LaFe4P12 type compounds. J. Phys. Chem. Solids 45, 877 (1984).
G. Roman, B. Horst, O. Alim, R. Helge, S. Walter, N. Michael, G. Yuri, and L.-J. Andreas: Filled platinum germanium skutterudites MPt4Ge12 (M = Sr, Ba, La–Nd, Sm, Eu): crystal structure and chemical bonding. Z. Krist.-Cryst. Mater. 225, 531 (2010).
S.L. Morelhão and L.H. Avanci: Strength tuning of multiple waves in crystals. Acta Cryst. A 57, 192 (2001).
S.L. Morelhão and S. Kycia: Enhanced X-ray phase determination by three-beam diffraction. Phys. Rev. Lett. 89, 015501 (2002).
S.L. Morelhão: An X-ray diffractometer for accurate structural invariant phase determination. J. Synchrotron Radiat. 10, 236 (2003).
S.L. Morelhão: Accurate triplet phase determination in non-perfect crystals–a general phasing procedure. Acta Cryst. A 59, 470 (2003).
S.L. Morelhão, L.H. Avanci, and S. Kycia: Study of crystalline structures via physical determination of triplet phase invariants. Nucl. Instrum. Meth. B 238, 175 (2005).
S.L. Morelhão, L.H. Avanci, and S. Kycia: Automatic X-ray crystallographic phasing at LNLS. Nucl. Instrum. Meth. B 238, 180 (2005).
S.L. Morelhão, L.H. Avanci, and S. Kycia: Energy conservation in approximated solutions of multi-beam scattering problems. Nucl. Instrum. Meth. B 239, 245 (2005).
J. Wu, K. Leinenweber, J.C.H. Spence, and M. O’Keeffe: Ab initio phasing of X-ray powder diffraction patterns by charge flipping. Nat. Mater. 5, 647 (2006).
Z.G. Amirkhanyan, C.M.R. Remédios, Y.P. Mascarenhas, and S.L. Morelhão: Analyzing structure factor phases in pure and doped single crystals by synchrotron X-ray Renninger scanning. J. Appl. Cryst 47, 160 (2014).
S.L. Morelhão, Z.G. Amirkhanyan, and C.M.R. Remédios: Absolute refinement of crystal structures by X-ray phase measurements. Acta Cryst. A 71, 291 (2015).
S.L. Morelhão, C.M.R. Remédios, G.A. Calligaris, and G. Nisbet: X-ray dynamical diffraction in amino acid crystals: a step towards improving structural resolution of biological molecules via physical phase measurements. J. Appl. Cryst. 50, 689 (2017).
S.L. Morelhão, C.M.R. Remédios, R.O. Freitas, and A.O. dos Santos: X-ray phase measurements as a probe of small structural changes in doped nonlinear optical crystals. J. Appl. Cryst. 44, 93 (2011).
H. Sato, Y. Abe, H. Okada, T. D. Matsuda, K. Abe, H. Sugawara, and Y. Aoki: Anomalous transport properties of RFe4P12 (R = La, Ce, Pr, and Nd). Phys. Rev. B 62, 15125 (2000).
M. Matsunami, K. Horiba, M. Taguchi, K. Yamamoto, A. Chainani, Y. Takata, Y. Senba, H. Ohashi, M. Yabashi, K. Tamasaku, Y. Nishino, D. Miwa, T. Ishikawa, E. Ikenaga, K. Kobayashi, H. Sugawara, H. Sato, H. Harima, and S. Shin: Electronic structure of semiconducting CeFe4P12: strong hybridization and relevance of single-impurity Anderson model. Phys. Rev. B 77, 165126 (2008).
F.A. Garcia, P.A. Venegas, P.G. Pagliuso, C. Rettori, Z. Fisk, P. Schlottmann, and S.B. Oseroff: Thermally activated exchange narrowing of the Gd3+ ESR fine structure in a single crystal of Ce1-xGdxFe4P12 (x = 0.001) skutterudite. Phys. Rev. B 84, 125116 (2011).
P.A. Venegas, F.A. Garcia, D.J. Garcia, G.G. Cabrera, M.A. Avila, and C. Rettori: Collapse of the Gd3+ ESR fine structure throughout the coherent temperature of the Gd-doped Kondo Semiconductor CeFe4P12. Phys. Rev. B 94, 235143 (2016).
S.L. Morelhão, S. Kycia, S. Netzke, C.I. Fornari, P.H.O. Rappl, and E. Abramof: Hybrid reflections from multiple X-ray scattering in epitaxial bismuth telluride topological insulator films. Appl. Phys. Lett. 112, 101903 (2018).
S.L. Morelhão, S.W. Kycia, S. Netzke, C.I. Fornari, P.H.O. Rappl, and E. Abramof: Dynamics of defects in van der Waals epitaxy of bismuth telluride topological insulators. J. Phys. Chem. C 123, 24818 (2019).
E. Weckert and K. Hummer: Multiple-beam X-ray diffraction for physical determination of reflection phases and its applications. Acta Cryst. A 53, 108 (1997).
L.H. Avanci, M.A. Hayashi, L.P. Cardoso, S.L. Morelhão, F. Riesz, K. Rakennus, and T. Hakkarainen: Mapping of Bragg-surface diffraction of InP/GaAs(100) structure. J. Cryst. Growth 188, 220 (1998).
R.O. Freitas, S.L. Morelhão, L.H. Avanci, and A.A. Quivy: Strain field of InAs QDs on GaAs (001) substrate surface: characterization by synchrotron X-ray Renninger scanning. Microelectron. J. 36, 219 (2005).
R.O. Freitas, T.E. Lamas, A.A. Quivy, and S.L. Morelhão: Synchrotron X-ray Renninger scanning for studying strain in InAs/GaAs quantum dot system. Phys. Status Solidi A 204, 2548 (2007).
A.S. de Menezes, A.O. dos Santos, J.M.A. Almeida, J.R.R. Bortoleto, M.A. Cotta, S.L. Morelhão, and L.P. Cardoso: Direct observation of tetragonal distortion in epitaxial structures through secondary peak split in a synchrotron radiation Renninger scan. Cryst. Growth Des. 10, 3426 (2010).
L.H. Avanci, L.P. Cardoso, S.E. Girdwood, D. Pugh, J.N. Sherwood, and K.J. Roberts: Piezoelectric coefficients of mNA organic nonlinear optical material using synchrotron X-ray multiple diffraction. Phys. Rev. Lett. 81, 5426 (1998).
S.L. Morelhão: Computer Simulation Tools for X-ray Analysis, 1st ed. (Springer International Publishing, Cham, 2016), pp. 24–44.
J.Z. Domagala, S.L. Morelhão, M. Sarzynski, M. Mazdziarz, P. Dluzewski, and M. Leszczynski: Hybrid reciprocal lattice: application to layer stress determination in GaAlN/GaN(0001) systems with patterned substrates. J. Appl. Cryst. 49, 798 (2016).
Acknowledgments
The authors acknowledge the financial support from Brazilian agencies CAPES (Grant Nos. 88881.119076/2016-01 and 2018-5), FAPESP (Grant Nos. 2018/00303-7, 2019/11564-9, and 2019/15574-9), and CNPq (Grant Nos. 309867/2017-7 and 452287/2019-7), as well as from the NSERC of Canada.
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Valério, A., Penacchio, R.F.S., Estradiote, M.B. et al. Phonon scattering mechanism in thermoelectric materials revised via resonant x-ray dynamical diffraction. MRS Communications 10, 265–271 (2020). https://doi.org/10.1557/mrc.2020.37
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DOI: https://doi.org/10.1557/mrc.2020.37