Elastic Moduli: a Tool for Understanding Chemical Bonding and Thermal Transport in Thermoelectric Materials

Isotta, Eleonora; Peng, Wanyue; Balodhi, Ashiwini; Zevalkink, Alexandra

doi:10.1002/ange.202213649

Title: Elastic Moduli: a Tool for Understanding Chemical Bonding and Thermal Transport in Thermoelectric Materials

Journal Article · 23 January 2023 · Angewandte Chemie

DOI: https://doi.org/10.1002/ange.202213649 · OSTI ID:1915686

^[1]; Peng, Wanyue ^[1]; Balodhi, Ashiwini ^[1];

^[1]

Department of Chemical Engineering and Materials Science Michigan State University East Lansing, MI USA

Abstract The elastic behavior of a material can be a powerful tool to decipher thermal transport. In thermoelectrics, measuring the elastic moduli—directly tied to sound velocity—is critical to understand trends in lattice thermal conductivity, as well as study bond anharmonicity and phase transitions, given the sensitivity of elastic moduli to the chemical bonding. In this review, we introduce the basics of elasticity and explain the origin of high‐temperature lattice softening from a bonding perspective. We then review elasticity data throughout classes of thermoelectrics, and explore trends in sound velocity, anharmonicity, and thermal conductivity. We reveal how experimental sound velocities can improve the accuracy of common thermal conductivity models and present a critical discussion of Grüneisen parameter estimates from elastic moduli. Readers will be equipped with tools to leverage elasticity measurements or calculations to accurately interpret thermal transport trends.

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Sponsoring Organization:: USDOE

Grant/Contract Number:: SC0019252

OSTI ID:: 1915686

Journal Information:: Angewandte Chemie, Journal Name: Angewandte Chemie Journal Issue: 12 Vol. 135; ISSN 0044-8249

Publisher:: Wiley Blackwell (John Wiley & Sons)Copyright Statement

Country of Publication:: Germany

Language:: English

References (186)

Lattice Softening Significantly Reduces Thermal Conductivity and Leads to High Thermoelectric Efficiency Hanus, Riley; Agne, Matthias T.; Rettie, Alexander J. E. Advanced Materials, Vol. 31, Issue 21 https://doi.org/10.1002/adma.201900108	journal	April 2019
Improvement of Low‐Temperature zT in a Mg ₃ Sb ₂ –Mg ₃ Bi ₂ Solid Solution via Mg‐Vapor Annealing Wood, Maxwell; Kuo, Jimmy Jiahong; Imasato, Kazuki Advanced Materials, Vol. 31, Issue 35 https://doi.org/10.1002/adma.201902337	journal	July 2019
Air‐Stable Monolayer Cu ₂ Se Exhibits a Purely Thermal Structural Phase Transition Qian, Kai; Gao, Lei; Chen, Xiya Advanced Materials, Vol. 32, Issue 19 https://doi.org/10.1002/adma.201908314	journal	April 2020
Phase Transition Engineering of Cu ₂ S to Widen the Temperature Window of Improved Thermoelectric Performance Liang, Xin; Jin, Dou; Dai, Feihu Advanced Electronic Materials, Vol. 5, Issue 10 https://doi.org/10.1002/aelm.201900486	journal	July 2019
Understanding the High Thermoelectric Performance of Mg ₃ Sb ₂ ‐Mg ₃ Bi ₂ Alloys Imasato, Kazuki; Wood, Maxwell; Anand, Shashwat Advanced Energy and Sustainability Research, Vol. 3, Issue 6 https://doi.org/10.1002/aesr.202100208	journal	February 2022
Theorie des festen Zustandes einatomiger Elemente Grüneisen, E. Annalen der Physik, Vol. 344, Issue 12 https://doi.org/10.1002/andp.19123441202	journal	January 1912
Denken wie ein Chemiker: Thermoelektrika intuitiv Zeier, Wolfgang G.; Zevalkink, Alex; Gibbs, Zachary M. Angewandte Chemie, Vol. 128, Issue 24 https://doi.org/10.1002/ange.201508381	journal	April 2016
Thinking Like a Chemist: Intuition in Thermoelectric Materials Zeier, Wolfgang G.; Zevalkink, Alex; Gibbs, Zachary M. Angewandte Chemie International Edition, Vol. 55, Issue 24 https://doi.org/10.1002/anie.201508381	journal	April 2016
Solute manipulation enabled band and defect engineering for thermoelectric enhancements of SnTe Yao, Zhichao; Li, Wen; Tang, Jing InfoMat, Vol. 1, Issue 4 https://doi.org/10.1002/inf2.12044	journal	October 2019
Direct observation of Cu, Zn cation disorder in Cu ₂ ZnSnS ₄ solar cell absorber material using aberration corrected scanning transmission electron microscopy : Aberration corrected STEM in Cu, Zn cation disorder in CZTS Mendis, Budhika G.; Shannon, Mervyn D.; Goodman, Max CJ Progress in Photovoltaics: Research and Applications, Vol. 22, Issue 1 https://doi.org/10.1002/pip.2279	journal	September 2012
On the elastic stiffness of grain boundaries Zhang, Tong-Yi; Hack, J. E. Physica Status Solidi (a), Vol. 131, Issue 2 https://doi.org/10.1002/pssa.2211310218	journal	June 1992
Lattice dynamics and structure of GeTe, SnTe and PbTe Bauer Pereira, Paula; Sergueev, Ilya; Gorsse, Stéphane physica status solidi (b), Vol. 250, Issue 7 https://doi.org/10.1002/pssb.201248412	journal	December 2012
The Thermal Expansion of GeS and GeTe Wiedemeier, H.; Siemers, P. A. Zeitschrift f�r anorganische und allgemeine Chemie, Vol. 431, Issue 1 https://doi.org/10.1002/zaac.19774310134	journal	June 1977
Ultrasonic Studies Near Structural Phase Transitions Lüthi, B.; Rehwald, W. Topics in Current Physics https://doi.org/10.1007/978-3-642-81531-7_4	book	January 1981
The Linear Theory of Elasticity Gurtin, Morton E. Linear Theories of Elasticity and Thermoelasticity https://doi.org/10.1007/978-3-662-39776-3_1	book	January 1973
Elastic wave propagation in Bi1⋅60Sb0⋅40Te3 and Bi2Te3 Akgöz, Y. C.; Saunders, G. A.; Sümengen, Z. Journal of Materials Science, Vol. 7, Issue 3 https://doi.org/10.1007/BF00555628	journal	March 1972
Elastic properties of the heavy fermion superconductor URu2Si2 Wolf, B.; Sixl, W.; Graf, R. Journal of Low Temperature Physics, Vol. 94, Issue 3-4 https://doi.org/10.1007/BF00754672	journal	February 1994
High-temperature elastic moduli of thermoelectric SnTe1±x – y SiC nanoparticulate composites Schmidt, Robert D.; Case, Eldon D.; Ni, Jennifer E. Journal of Materials Science, Vol. 48, Issue 23 https://doi.org/10.1007/s10853-013-7637-6	journal	August 2013
Pb1−x Sn x Te Alloys: Application Considerations Gelbstein, Yaniv Journal of Electronic Materials, Vol. 40, Issue 5 https://doi.org/10.1007/s11664-010-1435-6	journal	December 2010
Effect of sintering pressure on electrical transport and thermoelectric properties of polycrystalline SnSe Cho, J. Y.; Siyar, M.; Bae, S. H. Bulletin of Materials Science, Vol. 43, Issue 1 https://doi.org/10.1007/s12034-020-2036-5	journal	February 2020
The continuous rhombohedral-gubic transformation in GeTe-SnTe alloys Bierly, J. N.; Muldawer, L.; Beckman, O. Acta Metallurgica, Vol. 11, Issue 5 https://doi.org/10.1016/0001-6160(63)90170-6	journal	May 1963
Neutron diffraction study of the structural phase transition in SnS and SnSe Chattopadhyay, T.; Pannetier, J.; Von Schnering, H. G. Journal of Physics and Chemistry of Solids, Vol. 47, Issue 9, p. 879-885 https://doi.org/10.1016/0022-3697(86)90059-4	journal	January 1986
Transport properties of n-type Bi2(Te1−xSex)3 single crystal solid solutions (x ⩽ 0.05) Carle, M.; Pierrat, P.; Lahalle-Gravier, C. Journal of Physics and Chemistry of Solids, Vol. 56, Issue 2 https://doi.org/10.1016/0022-3697(94)00166-9	journal	February 1995
Soft phonon mode and ferroelectricity in GeTe Steigmeier, E. F.; Harbeke, G. Solid State Communications, Vol. 8, Issue 16 https://doi.org/10.1016/0038-1098(70)90619-8	journal	August 1970
An acoustic anomaly at the phase transition in GeTeSnTe alloy single crystals Seddon, T.; Farley, J. M.; Saunders, G. A. Solid State Communications, Vol. 17, Issue 1 https://doi.org/10.1016/0038-1098(75)90333-6	journal	July 1975
Elastic moduli of Bi2Te3 from 4.2°K to 300°K Jenkins, J. O.; Rayne, J. A.; Ure, R. W. Physics Letters A, Vol. 30, Issue 6 https://doi.org/10.1016/0375-9601(69)90843-3	journal	November 1969
Low-temperature elastic constants of Y1Ba2Cu3O7 Ledbetter, Hassel; Lei, Ming; Hermann, Allen Physica C: Superconductivity, Vol. 225, Issue 3-4 https://doi.org/10.1016/0921-4534(94)90741-2	journal	May 1994
Elastic wave propagation in the group VB semimetals Pace, N. G.; Saunders, G. A. Journal of Physics and Chemistry of Solids, Vol. 32, Issue 7 https://doi.org/10.1016/S0022-3697(71)80052-5	journal	January 1971
Resonant ultrasound spectroscopy: applications, current status and limitations Schwarz, R. B.; Vuorinen, J. F. Journal of Alloys and Compounds, Vol. 310, Issue 1-2 https://doi.org/10.1016/S0925-8388(00)00925-7	journal	September 2000
An X-ray study of the mixed-layered compounds of (GeTe)n (Sb2Te3)m homologous series Karpinsky, O. G.; Shelimova, L. E.; Kretova, M. A. Journal of Alloys and Compounds, Vol. 268, Issue 1-2 https://doi.org/10.1016/S0925-8388(97)00625-7	journal	March 1998
Titanium’s high-temperature elastic constants through the hcp–bcc phase transformation Ogi, Hirotsugu; Kai, Satoshi; Ledbetter, Hassel Acta Materialia, Vol. 52, Issue 7 https://doi.org/10.1016/j.actamat.2004.01.002	journal	April 2004
The high-temperature elastic moduli of polycrystalline PbTe measured by resonant ultrasound spectroscopy Ren, Fei; Case, Eldon D.; Sootsman, Joseph R. Acta Materialia, Vol. 56, Issue 20 https://doi.org/10.1016/j.actamat.2008.07.055	journal	December 2008
Thermal conductivity of electron-doped CaMnO3 perovskites: Local lattice distortions and optical phonon thermal excitation Wang, Yang; Sui, Yu; Wang, Xianjie Acta Materialia, Vol. 58, Issue 19 https://doi.org/10.1016/j.actamat.2010.07.052	journal	November 2010
Shear softening of grain boundaries in nanocrystalline Pd Grewer, Manuel; Markmann, Jürgen; Karos, Rudolf Acta Materialia, Vol. 59, Issue 4 https://doi.org/10.1016/j.actamat.2010.11.016	journal	February 2011
Thermoelectric properties of Na-doped Zintl compound: Mg3−Na Sb2 Shuai, Jing; Wang, Yumei; Kim, Hee Seok Acta Materialia, Vol. 93 https://doi.org/10.1016/j.actamat.2015.04.023	journal	July 2015
Mechanical properties of half-Heusler alloys Rogl, G.; Grytsiv, A.; Gürth, M. Acta Materialia, Vol. 107 https://doi.org/10.1016/j.actamat.2016.01.031	journal	April 2016
Solving the Christoffel equation: Phase and group velocities Jaeken, Jan W.; Cottenier, Stefaan Computer Physics Communications, Vol. 207 https://doi.org/10.1016/j.cpc.2016.06.014	journal	October 2016
Vibrational properties of stannite and kesterite type compounds: Raman scattering analysis of Cu2(Fe,Zn)SnS4 Fontané, X.; Izquierdo-Roca, V.; Saucedo, E. Journal of Alloys and Compounds, Vol. 539 https://doi.org/10.1016/j.jallcom.2012.06.042	journal	October 2012
Thermoelectric performance in disordered Cu2ZnSnSe4 nanostructures driven by ultra-low thermal conductivity Mukherjee, Binayak; Isotta, Eleonora; Malagutti, Marcelo Augusto Journal of Alloys and Compounds, Vol. 933 https://doi.org/10.1016/j.jallcom.2022.167756	journal	February 2023
Low-Symmetry Rhombohedral GeTe Thermoelectrics Li, Juan; Zhang, Xinyue; Chen, Zhiwei Joule, Vol. 2, Issue 5 https://doi.org/10.1016/j.joule.2018.02.016	journal	May 2018
An Unlikely Route to Low Lattice Thermal Conductivity: Small Atoms in a Simple Layered Structure Peng, Wanyue; Petretto, Guido; Rignanese, Gian-Marco Joule, Vol. 2, Issue 9 https://doi.org/10.1016/j.joule.2018.06.014	journal	September 2018
GeTe Thermoelectrics Zhang, Xinyue; Bu, Zhonglin; Lin, Siqi Joule, Vol. 4, Issue 5 https://doi.org/10.1016/j.joule.2020.03.004	journal	May 2020
Charge-carrier-mediated lattice softening contributes to high zT in thermoelectric semiconductors Slade, Tyler J.; Anand, Shashwat; Wood, Max Joule, Vol. 5, Issue 5 https://doi.org/10.1016/j.joule.2021.03.009	journal	May 2021
Stability, thermal and mechanical properties of PtxAly compounds Feng, J.; Xiao, B.; Chen, J. Materials & Design, Vol. 32, Issue 6 https://doi.org/10.1016/j.matdes.2011.02.043	journal	June 2011
Phase transition and anharmonicity in SnSe Hong, J.; Delaire, O. Materials Today Physics, Vol. 10 https://doi.org/10.1016/j.mtphys.2019.100093	journal	August 2019
Enhanced thermoelectric performance of Hafnium free n-type ZrNiSn half-Heusler alloys by isoelectronic Si substitution Zhang, Q.; Xie, P.; Liu, C. Materials Today Physics, Vol. 24 https://doi.org/10.1016/j.mtphys.2022.100648	journal	May 2022
The crystal structure of kesterite type compounds: A neutron and X-ray diffraction study Schorr, Susan Solar Energy Materials and Solar Cells, Vol. 95, Issue 6 https://doi.org/10.1016/j.solmat.2011.01.002	journal	June 2011
Mechanical characterization of PEDOT:PSS thin films Lang, Udo; Naujoks, Nicola; Dual, Jurg Synthetic Metals, Vol. 159, Issue 5-6 https://doi.org/10.1016/j.synthmet.2008.11.005	journal	March 2009
Anisotropic Structural Collapse of Mg ₃ Sb ₂ and Mg ₃ Bi ₂ at High Pressure Calderón-Cueva, Mario; Peng, Wanyue; Clarke, Samantha M. Chemistry of Materials, Vol. 33, Issue 2 https://doi.org/10.1021/acs.chemmater.0c03678	journal	January 2021
Thermal Evolution of Internal Strain in Doped PbTe Male, James P.; Hanus, Riley; Snyder, G. Jeffrey Chemistry of Materials, Vol. 33, Issue 12 https://doi.org/10.1021/acs.chemmater.1c01335	journal	June 2021
Realizing the High Thermoelectric Performance of GeTe by Sb-Doping and Se-Alloying Li, Juan; Zhang, Xinyue; Lin, Siqi Chemistry of Materials, Vol. 29, Issue 2 https://doi.org/10.1021/acs.chemmater.6b04066	journal	December 2016
Capturing Anharmonicity in a Lattice Thermal Conductivity Model for High-Throughput Predictions Miller, Samuel A.; Gorai, Prashun; Ortiz, Brenden R. Chemistry of Materials, Vol. 29, Issue 6 https://doi.org/10.1021/acs.chemmater.6b04179	journal	November 2016
Ultralow Thermal Conductivity in Diamond-Like Semiconductors: Selective Scattering of Phonons from Antisite Defects Ortiz, Brenden R.; Peng, Wanyue; Gomes, Lídia C. Chemistry of Materials, Vol. 30, Issue 10 https://doi.org/10.1021/acs.chemmater.8b00890	journal	May 2018
Rapid Prediction of Anisotropic Lattice Thermal Conductivity: Application to Layered Materials McKinney, Robert; Gorai, Prashun; Toberer, Eric S. Chemistry of Materials, Vol. 31, Issue 6 https://doi.org/10.1021/acs.chemmater.8b05084	journal	February 2019
Order–Disorder Transition in Kesterite Cu₂ZnSnS₄: Thermopower Enhancement via Electronic Band Structure Modification Isotta, Eleonora; Mukherjee, Binayak; Fanciulli, Carlo The Journal of Physical Chemistry C, Vol. 124, Issue 13 https://doi.org/10.1021/acs.jpcc.0c00886	journal	March 2020
High Thermoelectric Performance in SnTe–AgSbTe ₂ Alloys from Lattice Softening, Giant Phonon–Vacancy Scattering, and Valence Band Convergence Tan, Gangjian; Hao, Shiqiang; Hanus, Riley C. ACS Energy Letters, Vol. 3, Issue 3 https://doi.org/10.1021/acsenergylett.8b00137	journal	February 2018
Fragment formalism in main-group solids: applications to aluminum boride (AlB2), calcium aluminum silicide (CaAl2Si2), barium-aluminum (BaAl4), and related materials Burdett, Jeremy K.; Miller, Gordon J. Chemistry of Materials, Vol. 2, Issue 1 https://doi.org/10.1021/cm00007a004	journal	January 1990
Order–Disorder Transition in AgCrSe ₂ : a New Route to Efficient Thermoelectrics Gascoin, Franck; Maignan, Antoine Chemistry of Materials, Vol. 23, Issue 10 https://doi.org/10.1021/cm200581k	journal	May 2011
Real Structure and Thermoelectric Properties of GeTe-Rich Germanium Antimony Tellurides Rosenthal, Tobias; Schneider, Matthias N.; Stiewe, Christian Chemistry of Materials, Vol. 23, Issue 19 https://doi.org/10.1021/cm201717z	journal	October 2011
Negative Pressure Engineering with Large Cage Cations in 2D Halide Perovskites Causes Lattice Softening Li, Xiaotong; Fu, Yongping; Pedesseau, Laurent Journal of the American Chemical Society, Vol. 142, Issue 26 https://doi.org/10.1021/jacs.0c03860	journal	June 2020
Enhancing p-Type Thermoelectric Performances of Polycrystalline SnSe via Tuning Phase Transition Temperature Lee, Yong Kyu; Ahn, Kyunghan; Cha, Joonil Journal of the American Chemical Society, Vol. 139, Issue 31 https://doi.org/10.1021/jacs.7b05881	journal	July 2017
Influence of Lattice Polarizability on the Ionic Conductivity in the Lithium Superionic Argyrodites Li ₆ PS ₅ X (X = Cl, Br, I) Kraft, Marvin A.; Culver, Sean P.; Calderon, Mario Journal of the American Chemical Society, Vol. 139, Issue 31 https://doi.org/10.1021/jacs.7b06327	journal	July 2017
Thermal Conductivity and Elastic Constants of PEDOT:PSS with High Electrical Conductivity Liu, Jun; Wang, Xiaojia; Li, Dongyao Macromolecules, Vol. 48, Issue 3 https://doi.org/10.1021/ma502099t	journal	January 2015
Composition and Properties of Layered Compounds in the GeTe–Sb2Te3System Shelimova, L. E.; Karpinskii, O. G.; Konstantinov, P. P. Inorganic Materials, Vol. 37, Issue 4, p. 342-348 https://doi.org/10.1023/A:1017519625907	journal	January 2001
Electronic origin of the high thermoelectric performance of GeTe among the p-type group IV monotellurides Li, Juan; Chen, Zhiwei; Zhang, Xinyue NPG Asia Materials, Vol. 9, Issue 3 https://doi.org/10.1038/am.2017.8	journal	March 2017
Ultralow thermal conductivity and high thermoelectric figure of merit in SnSe crystals Zhao, Li-Dong; Lo, Shih-Han; Zhang, Yongsheng Nature, Vol. 508, Issue 7496, p. 373-377 https://doi.org/10.1038/nature13184	journal	April 2014
Phase-change materials for rewriteable data storage Wuttig, Matthias; Yamada, Noboru Nature Materials, Vol. 6, Issue 11 https://doi.org/10.1038/nmat2009	journal	November 2007
Giant anharmonic phonon scattering in PbTe Delaire, O.; Ma, J.; Marty, K. Nature Materials, Vol. 10, Issue 8, p. 614-619 https://doi.org/10.1038/nmat3035	journal	June 2011
Chemical bonding origin of the unexpected isotropic physical properties in thermoelectric Mg3Sb2 and related materials Zhang, Jiawei; Song, Lirong; Sist, Mattia Nature Communications, Vol. 9, Issue 1 https://doi.org/10.1038/s41467-018-06980-x	journal	November 2018
Pure PEDOT:PSS hydrogels Lu, Baoyang; Yuk, Hyunwoo; Lin, Shaoting Nature Communications, Vol. 10, Issue 1 https://doi.org/10.1038/s41467-019-09003-5	journal	March 2019
Insights into the design of thermoelectric Mg3Sb2 and its analogs by combining theory and experiment Zhang, Jiawei; Song, Lirong; Iversen, Bo Brummerstedt npj Computational Materials, Vol. 5, Issue 1 https://doi.org/10.1038/s41524-019-0215-y	journal	July 2019
Polycrystalline SnSe with a thermoelectric figure of merit greater than the single crystal Zhou, Chongjian; Lee, Yong Kyu; Yu, Yuan Nature Materials, Vol. 20, Issue 10 https://doi.org/10.1038/s41563-021-01064-6	journal	August 2021
Charting the complete elastic properties of inorganic crystalline compounds de Jong, Maarten; Chen, Wei; Angsten, Thomas Scientific Data, Vol. 2, Issue 1 https://doi.org/10.1038/sdata.2015.9	journal	March 2015
Optic phonons and anisotropic thermal conductivity in hexagonal Ge2Sb2Te5 Mukhopadhyay, Saikat; Lindsay, Lucas; Singh, David J. Scientific Reports, Vol. 6, Issue 1 https://doi.org/10.1038/srep37076	journal	November 2016
Material descriptors for predicting thermoelectric performance Yan, Jun; Gorai, Prashun; Ortiz, Brenden Energy & Environmental Science, Vol. 8, Issue 3 https://doi.org/10.1039/C4EE03157A	journal	January 2015
Negative thermal expansion in 2H CuScO₂ originating from the cooperation of transverse thermal vibrations of Cu and O atoms Chang, Dahu; Yu, Weiyang; Sun, Qiang Physical Chemistry Chemical Physics, Vol. 19, Issue 3 https://doi.org/10.1039/C6CP07589D	journal	January 2017
Solid solution Pb _1−x Eu _x Te: constitution and thermoelectric behavior Wang, Xin-Ke; Veremchuk, Igor; Bobnar, Matej Inorganic Chemistry Frontiers, Vol. 3, Issue 9 https://doi.org/10.1039/C6QI00161K	journal	January 2016
Understanding the superior thermoelectric performance of Sb precipitated Ge ₁₇ Sb ₂ Te ₂₀ Williams, Jared B.; Morelli, Donald T. Journal of Materials Chemistry C, Vol. 4, Issue 42 https://doi.org/10.1039/C6TC03789E	journal	January 2016
Crystal chemistry and thermoelectric transport of layered AM ₂ X ₂ compounds Peng, Wanyue; Chanakian, Sevan; Zevalkink, Alexandra Inorganic Chemistry Frontiers, Vol. 5, Issue 8 https://doi.org/10.1039/C7QI00813A	journal	January 2018
Observation of valence band crossing: the thermoelectric properties of CaZn ₂ Sb ₂ –CaMg ₂ Sb ₂ solid solution Wood, Max; Aydemir, Umut; Ohno, Saneyuki Journal of Materials Chemistry A, Vol. 6, Issue 20 https://doi.org/10.1039/C8TA02250J	journal	January 2018
A computational survey of semiconductors for power electronics Gorai, Prashun; McKinney, Robert W.; Haegel, Nancy M. Energy & Environmental Science, Vol. 12, Issue 11 https://doi.org/10.1039/C9EE01529A	journal	January 2019
A simple chemical guide for finding novel n-type dopable Zintl pnictide thermoelectric materials Gorai, Prashun; Goyal, Anuj; Toberer, Eric S. Journal of Materials Chemistry A, Vol. 7, Issue 33 https://doi.org/10.1039/C9TA03786A	journal	January 2019
Realizing high thermoelectric performance in GeTe through decreasing the phase transition temperature via entropy engineering Qiu, Yuting; Jin, Yang; Wang, Dongyang Journal of Materials Chemistry A, Vol. 7, Issue 46 https://doi.org/10.1039/C9TA10963C	journal	January 2019
Phonon engineering through crystal chemistry Toberer, Eric S.; Zevalkink, Alex; Snyder, G. Jeffrey Journal of Materials Chemistry, Vol. 21, Issue 40 https://doi.org/10.1039/c1jm11754h	journal	January 2011
Ultra-thin conductive free-standing PEDOT/PSS nanofilms Greco, Francesco; Zucca, Alessandra; Taccola, Silvia Soft Matter, Vol. 7, Issue 22 https://doi.org/10.1039/c1sm06174g	journal	January 2011
Multinuclear (67Zn, 119Sn and 65Cu) NMR spectroscopy – an ideal technique to probe the cationic ordering in Cu2ZnSnS4 photovoltaic materials Choubrac, Léo; Paris, Michaël; Lafond, Alain Physical Chemistry Chemical Physics, Vol. 15, Issue 26 https://doi.org/10.1039/c3cp51320c	journal	January 2013
Flexible PEDOT electrodes with large thermoelectric power factors to generate electricity by the touch of fingertips Park, Teahoon; Park, Chihyun; Kim, Byeonggwan Energy & Environmental Science, Vol. 6, Issue 3 https://doi.org/10.1039/c3ee23729j	journal	January 2013
Mg3Sb2-based Zintl compound: a non-toxic, inexpensive and abundant thermoelectric material for power generation Bhardwaj, A.; Rajput, A.; Shukla, A. K. RSC Advances, Vol. 3, Issue 22 https://doi.org/10.1039/c3ra40457a	journal	January 2013
Thermoelectric properties of Ag-doped Cu2Se and Cu2Te Ballikaya, Sedat; Chi, Hang; Salvador, James R. Journal of Materials Chemistry A, Vol. 1, Issue 40 https://doi.org/10.1039/c3ta12508d	journal	January 2013
Temperature and pressure induced phase transition in IV-VI compounds Chattopadhyay, T.; Werner, A.; von Schnering, H. G. Revue de Physique Appliquée, Vol. 19, Issue 9 https://doi.org/10.1051/rphysap:01984001909080700	journal	January 1984
Elastic Constants of ZnTe and ZnSe between 77°–300°K Lee, B. H. Journal of Applied Physics, Vol. 41, Issue 7 https://doi.org/10.1063/1.1659349	journal	June 1970
Thermal expansion of AlN, sapphire, and silicon Yim, W. M.; Paff, R. J. Journal of Applied Physics, Vol. 45, Issue 3 https://doi.org/10.1063/1.1663432	journal	March 1974
Measurement of Elastic Constants at Low Temperatures by Means of Ultrasonic Waves–Data for Silicon and Germanium Single Crystals, and for Fused Silica McSkimin, H. J. Journal of Applied Physics, Vol. 24, Issue 8 https://doi.org/10.1063/1.1721449	journal	August 1953
Elastic Constants of Bismuth Eckstein, Yakov; Lawson, A. W.; Reneker, Darrell H. Journal of Applied Physics, Vol. 31, Issue 9 https://doi.org/10.1063/1.1735888	journal	September 1960
Mechanical and thermal properties of single crystals of the type-I clathrate compounds Ba8Ga16Ge30 and Sr8Ga16Ge30 Okamoto, Norihiko L.; Nakano, Takahiro; Tanaka, Katsushi Journal of Applied Physics, Vol. 104, Issue 1 https://doi.org/10.1063/1.2952004	journal	July 2008
Thermal Conduction in Solids Berman, R.; Klemens, Paul G. Physics Today, Vol. 31, Issue 4 https://doi.org/10.1063/1.2994996	journal	April 1978
Defect physics of the kesterite thin-film solar cell absorber Cu₂ZnSnS₄ Chen, Shiyou; Gong, X. G.; Walsh, Aron Applied Physics Letters, Vol. 96, Issue 2, Article No. 021902 https://doi.org/10.1063/1.3275796	journal	January 2010
Precise determination of lattice parameter and thermal expansion coefficient of silicon between 300 and 1500 K Okada, Yasumasa; Tokumaru, Yozo Journal of Applied Physics, Vol. 56, Issue 2, p. 314-320 https://doi.org/10.1063/1.333965	journal	July 1984
Elastic constants of boron nitride Grimsditch, M.; Zouboulis, E. S.; Polian, A. Journal of Applied Physics, Vol. 76, Issue 2 https://doi.org/10.1063/1.357757	journal	July 1994
Elastic constants of gallium nitride Polian, A.; Grimsditch, M.; Grzegory, I. Journal of Applied Physics, Vol. 79, Issue 6 https://doi.org/10.1063/1.361236	journal	March 1996
Phase transition enhanced thermoelectric figure-of-merit in copper chalcogenides Brown, David R.; Day, Tristan; Borup, Kasper A. APL Materials, Vol. 1, Issue 5 https://doi.org/10.1063/1.4827595	journal	November 2013
Thermoelectric transport of Se-rich Ag ₂ Se in normal phases and phase transitions Mi, Wenlong; Qiu, Pengfei; Zhang, Tiansong Applied Physics Letters, Vol. 104, Issue 13 https://doi.org/10.1063/1.4870509	journal	March 2014
Structure family and polymorphous phase transition in the compounds with soft sublattice: Cu ₂ Se as an example Qiu, Wujie; Lu, Ping; Yuan, Xun The Journal of Chemical Physics, Vol. 144, Issue 19 https://doi.org/10.1063/1.4948609	journal	May 2016
Increasing the thermoelectric power factor of Ge ₁₇ Sb ₂ Te ₂₀ by adjusting the Ge/Sb ratio Williams, Jared B.; Mather, Spencer P.; Page, Alexander Journal of Applied Physics, Vol. 122, Issue 4 https://doi.org/10.1063/1.4995430	journal	July 2017
A practical field guide to thermoelectrics: Fundamentals, synthesis, and characterization Zevalkink, Alex; Smiadak, David M.; Blackburn, Jeff L. Applied Physics Reviews, Vol. 5, Issue 2 https://doi.org/10.1063/1.5021094	journal	June 2018
Enhancement of thermoelectric properties by lattice softening and energy band gap control in Te-deficient InTe _{1− δ} Back, Song Yi; Cho, Hyunyong; Kim, Young-Kwang AIP Advances, Vol. 8, Issue 11 https://doi.org/10.1063/1.5063274	journal	November 2018
Lattice hardening due to vacancy diffusion in (GeTe) _m Sb ₂ Te ₃ alloys Peng, Wanyue; Smiadak, David M.; Boehlert, Michael G. Journal of Applied Physics, Vol. 126, Issue 5 https://doi.org/10.1063/1.5108659	journal	August 2019
Phase-transition temperature suppression to achieve cubic GeTe and high thermoelectric performance by Bi and Mn codoping Liu, Zihang; Sun, Jifeng; Mao, Jun Proceedings of the National Academy of Sciences, Vol. 115, Issue 21 https://doi.org/10.1073/pnas.1802020115	journal	May 2018
The study of structural phase transitions by means of ultrasonic experiments Rehwald, Walther Advances in Physics, Vol. 22, Issue 6 https://doi.org/10.1080/00018737300101379	journal	November 1973
Phonon contribution to electronic transport properties of semiconductors Guinea, F.; Tejedor, C. Journal of Physics C: Solid State Physics, Vol. 15, Issue 4 https://doi.org/10.1088/0022-3719/15/4/021	journal	February 1982
Neutron diffraction study on the structural phase transition in GeTe Chattopadhyay, T.; Boucherle, J. X.; vonSchnering, H. G. Journal of Physics C: Solid State Physics, Vol. 20, Issue 10 https://doi.org/10.1088/0022-3719/20/10/012	journal	April 1987
Theory of elastic properties of heavy-fermion compounds Thalmeier, P. Journal of Physics C: Solid State Physics, Vol. 20, Issue 28 https://doi.org/10.1088/0022-3719/20/28/010	journal	October 1987
Ultrasonic studies of phase transitions in the tin telluride-germanium telluride system Sn_xGe_1-xTe Rehwald, W.; Lang, G. K. Journal of Physics C: Solid State Physics, Vol. 8, Issue 20 https://doi.org/10.1088/0022-3719/8/20/007	journal	October 1975
Electron mobility limited by deformation potential acoustic phonon scattering in quantum wires Nag, B. R.; Gangopadhyay, S. Semiconductor Science and Technology, Vol. 10, Issue 6 https://doi.org/10.1088/0268-1242/10/6/012	journal	June 1995
An ultrasonic study of the elastic properties of the normal and superconducting states of YBa₂Cu₃O_7-δ Almond, D. P.; Lambson, E.; Saunders, G. A. Journal of Physics F: Metal Physics, Vol. 17, Issue 9 https://doi.org/10.1088/0305-4608/17/9/007	journal	September 1987
Strain behavior and lattice dynamics in Ni₅₀Mn₃₅In₁₅ Salazar Mejía, C.; Nayak, A. K.; Schiemer, J. A. Journal of Physics: Condensed Matter, Vol. 27, Issue 41 https://doi.org/10.1088/0953-8984/27/41/415402	journal	September 2015
Ab initio lattice dynamics and thermochemistry of layered bismuth telluride (Bi ₂ Te ₃ ) Zurhelle, Alexander F.; Deringer, Volker L.; Stoffel, Ralf P. Journal of Physics: Condensed Matter, Vol. 28, Issue 11 https://doi.org/10.1088/0953-8984/28/11/115401	journal	February 2016
Resonant ultrasound spectroscopy Leisure, R. G.; Willis, F. A. Journal of Physics: Condensed Matter, Vol. 9, Issue 28 https://doi.org/10.1088/0953-8984/9/28/002	journal	July 1997
Phase transition, structural and thermodynamic properties of Mg ₂ Si polymorphs Yu, Ben-Hai; Chen, Dong Chinese Physics B, Vol. 20, Issue 3 https://doi.org/10.1088/1674-1056/20/3/030508	journal	March 2011
Phase transition and high temperature thermoelectric properties of copper selenide Cu _{2− x} Se (0 ≤ x ≤ 0.25) Xiao, Xing-Xing; Xie, Wen-Jie; Tang, Xin-Feng Chinese Physics B, Vol. 20, Issue 8 https://doi.org/10.1088/1674-1056/20/8/087201	journal	August 2011
Symmetry Newnham, Robert E. Properties of Materials: Anisotropy, Symmetry, Structure https://doi.org/10.1093/oso/9780198520757.003.0005	book	November 2004
Model for Lattice Thermal Conductivity at Low Temperatures Callaway, Joseph Physical Review, Vol. 113, Issue 4 https://doi.org/10.1103/PhysRev.113.1046	journal	February 1959
Temperature Variation of the Elastic Constants of Cubic Elements. I. Copper Overton, W. C.; Gaffney, John Physical Review, Vol. 98, Issue 4 https://doi.org/10.1103/PhysRev.98.969	journal	May 1955
Anisotropic elasticity drives negative thermal expansion in monocrystalline SnSe Karunarathne, Ashoka; Parajuli, Prakash; Priyadarshan, Gautam Physical Review B, Vol. 103, Issue 5 https://doi.org/10.1103/PhysRevB.103.054108	journal	February 2021
Elastic constants and lattice anharmonicity of GaSb and GaP from ultrasonic-velocity measurements between 4.2 and 300 K Boyle, W. F.; Sladek, R. J. Physical Review B, Vol. 11, Issue 8 https://doi.org/10.1103/PhysRevB.11.2933	journal	April 1975
Temperature Dependence of the Elastic Constants Varshni, Y. P. Physical Review B, Vol. 2, Issue 10 https://doi.org/10.1103/PhysRevB.2.3952	journal	November 1970
Elastic constants of Mo/Ta superlattices measured by Brillouin scattering Bell, J. A.; Bennett, W. R.; Zanoni, R. Physical Review B, Vol. 35, Issue 8 https://doi.org/10.1103/PhysRevB.35.4127	journal	March 1987
Theoretical study of the elastic and thermodynamic properties of sodium chloride under pressure Cowley, E. R.; Gong, Zhaoxin; Horton, G. K. Physical Review B, Vol. 41, Issue 4 https://doi.org/10.1103/PhysRevB.41.2150	journal	February 1990
Lower limit to the thermal conductivity of disordered crystals Cahill, David G.; Watson, S. K.; Pohl, R. O. Physical Review B, Vol. 46, Issue 10, p. 6131-6140 https://doi.org/10.1103/PhysRevB.46.6131	journal	September 1992
Elastic Moduli and Phonon Properties of Bi 2 Te 3 Jenkins, J. O.; Rayne, J. A.; Ure, R. W. Physical Review B, Vol. 5, Issue 8 https://doi.org/10.1103/PhysRevB.5.3171	journal	April 1972
Raman-scattering probe of anharmonic effects in GaAs Verma, Prabhat; Abbi, S. C.; Jain, K. P. Physical Review B, Vol. 51, Issue 23 https://doi.org/10.1103/PhysRevB.51.16660	journal	June 1995
Behavior of the elastic properties near an intermediate phase transition in Ni 2 MnGa Worgull, J.; Petti, E.; Trivisonno, J. Physical Review B, Vol. 54, Issue 22 https://doi.org/10.1103/PhysRevB.54.15695	journal	December 1996
Phase transitions and glasslike behavior in Sr 1 − x Ba x TiO 3 Lemanov, V. V.; Smirnova, E. P.; Syrnikov, P. P. Physical Review B, Vol. 54, Issue 5 https://doi.org/10.1103/PhysRevB.54.3151	journal	August 1996
Transport properties of pure and doped M NiSn ( M =Zr, Hf) Uher, C.; Yang, J.; Hu, S. Physical Review B, Vol. 59, Issue 13 https://doi.org/10.1103/PhysRevB.59.8615	journal	April 1999
Effect of disorder on the thermal transport and elastic properties in thermoelectric Zn 4 Sb 3 Bhattacharya, S.; Hermann, R. P.; Keppens, V. Physical Review B, Vol. 74, Issue 13 https://doi.org/10.1103/PhysRevB.74.134108	journal	October 2006
Electronic, dynamical, and thermal properties of ultra-incompressible superhard rhenium diboride: A combined first-principles and neutron scattering study Zhou, W.; Wu, H.; Yildirim, T. Physical Review B, Vol. 76, Issue 18 https://doi.org/10.1103/PhysRevB.76.184113	journal	November 2007
Insights into the structure of the stable and metastable ( GeTe ) m ( Sb 2 Te 3 ) n compounds Da Silva, Juarez L. F.; Walsh, Aron; Lee, Hosun Physical Review B, Vol. 78, Issue 22 https://doi.org/10.1103/PhysRevB.78.224111	journal	December 2008
Wurtzite-derived polytypes of kesterite and stannite quaternary chalcogenide semiconductors Chen, Shiyou; Walsh, Aron; Luo, Ye Physical Review B, Vol. 82, Issue 19 https://doi.org/10.1103/PhysRevB.82.195203	journal	November 2010
Effect of filler mass and binding on thermal conductivity of fully filled skutterudites Zebarjadi, Mona; Esfarjani, Keivan; Yang, Jian Physical Review B, Vol. 82, Issue 19 https://doi.org/10.1103/PhysRevB.82.195207	journal	November 2010
Thermoelectric transport properties of CaMg 2 Bi 2 , EuMg 2 Bi 2 , and YbMg 2 Bi 2 May, Andrew F.; McGuire, Michael A.; Singh, David J. Physical Review B, Vol. 85, Issue 3 https://doi.org/10.1103/PhysRevB.85.035202	journal	January 2012
Phonon conduction in PbSe, PbTe, and PbTe 1 − x Se x from first-principles calculations Tian, Zhiting; Garg, Jivtesh; Esfarjani, Keivan Physical Review B, Vol. 85, Issue 18 https://doi.org/10.1103/PhysRevB.85.184303	journal	May 2012
Soft-phonon mediated structural phase transition in GeTe Wdowik, Urszula D.; Parlinski, Krzysztof; Rols, Stéphane Physical Review B, Vol. 89, Issue 22 https://doi.org/10.1103/PhysRevB.89.224306	journal	June 2014
Anomalous temperature-induced volume contraction in GeTe Chatterji, Tapan; Kumar, C. M. N.; Wdowik, Urszula D. Physical Review B, Vol. 91, Issue 5 https://doi.org/10.1103/PhysRevB.91.054110	journal	February 2015
Structural and magnetic phase transitions in EuTi 1 − x Nb x O 3 Li, Ling; Morris, James R.; Koehler, Michael R. Physical Review B, Vol. 92, Issue 2 https://doi.org/10.1103/PhysRevB.92.024109	journal	July 2015
First-principles study of anisotropic thermoelectric transport properties of IV-VI semiconductor compounds SnSe and SnS Guo, Ruiqiang; Wang, Xinjiang; Kuang, Youdi Physical Review B, Vol. 92, Issue 11 https://doi.org/10.1103/PhysRevB.92.115202	journal	September 2015
Strain coupling, microstructure dynamics, and acoustic mode softening in germanium telluride Yang, D.; Chatterji, T.; Schiemer, J. A. Physical Review B, Vol. 93, Issue 14 https://doi.org/10.1103/PhysRevB.93.144109	journal	April 2016
Phonon anharmonicity and negative thermal expansion in SnSe Bansal, Dipanshu; Hong, Jiawang; Li, Chen W. Physical Review B, Vol. 94, Issue 5 https://doi.org/10.1103/PhysRevB.94.054307	journal	August 2016
Four-phonon scattering significantly reduces intrinsic thermal conductivity of solids Feng, Tianli; Lindsay, Lucas; Ruan, Xiulin Physical Review B, Vol. 96, Issue 16 https://doi.org/10.1103/PhysRevB.96.161201	journal	October 2017
Acoustic deformation potentials of n -type PbTe from first principles Murphy, Aoife R.; Murphy-Armando, Felipe; Fahy, Stephen Physical Review B, Vol. 98, Issue 8 https://doi.org/10.1103/PhysRevB.98.085201	journal	August 2018
Phonon Self-Energy and Origin of Anomalous Neutron Scattering Spectra in SnTe and PbTe Thermoelectrics Li, C. W.; Hellman, O.; Ma, J. Physical Review Letters, Vol. 112, Issue 17 https://doi.org/10.1103/PhysRevLett.112.175501	journal	April 2014
Phonon Collapse and Second-Order Phase Transition in Thermoelectric SnSe Aseginolaza, Unai; Bianco, Raffaello; Monacelli, Lorenzo Physical Review Letters, Vol. 122, Issue 7 https://doi.org/10.1103/PhysRevLett.122.075901	journal	February 2019
Calculation of Mode Grüneisen Parameters Made Simple Cuffari, David; Bongiorno, Angelo Physical Review Letters, Vol. 124, Issue 21 https://doi.org/10.1103/PhysRevLett.124.215501	journal	May 2020
Elastic properties of flux lattices in anisotropic high-Tcsuperconductors Kogan, V. G.; Campbell, L. J. Physical Review Letters, Vol. 62, Issue 13 https://doi.org/10.1103/PhysRevLett.62.1552	journal	March 1989
Phase diagram of UPt 3 from ultrasonic velocity measurements Adenwalla, S.; Lin, S. W.; Ran, Q. Z. Physical Review Letters, Vol. 65, Issue 18 https://doi.org/10.1103/PhysRevLett.65.2298	journal	October 1990
Estimation of Single-Crystal Elastic Moduli from Polycrystalline X-Ray Diffraction at High Pressure: Application to FeO and Iron Singh, Anil K.; Mao, Ho-kwang; Shu, Jinfu Physical Review Letters, Vol. 80, Issue 10 https://doi.org/10.1103/PhysRevLett.80.2157	journal	March 1998
Metallic “Ferroelectricity” in the Pyrochlore C d 2 R e 2 O 7 Sergienko, I. A.; Keppens, V.; McGuire, M. Physical Review Letters, Vol. 92, Issue 6 https://doi.org/10.1103/PhysRevLett.92.065501	journal	February 2004
Monocrystal Elastic Constants of the Negative-Thermal-Expansion Compound Zirconium Tungstate ( Z r W 2 O 8 ) Drymiotis, F. R.; Ledbetter, H.; Betts, J. B. Physical Review Letters, Vol. 93, Issue 2 https://doi.org/10.1103/PhysRevLett.93.025502	journal	July 2004
Measurement of single-crystal elastic constants by neutron diffraction from polycrystals Howard, C. J.; Kisi, E. H. Journal of Applied Crystallography, Vol. 32, Issue 4 https://doi.org/10.1107/S0021889899002393	journal	August 1999
Crystallography and structural phase transitions, an introduction Salje, E. K. H. Acta Crystallographica Section A Foundations of Crystallography, Vol. 47, Issue 5 https://doi.org/10.1107/S0108767391004300	journal	September 1991
Crystal structure and phase transition of thermoelectric SnSe Sist, Mattia; Zhang, Jiawei; Brummerstedt Iversen, Bo Acta Crystallographica Section B Structural Science, Crystal Engineering and Materials, Vol. 72, Issue 3, p. 310-316 https://doi.org/10.1107/S2052520616003334	journal	May 2016
Resonant Ultrasound Spectroscopy: theory and application Zadler, Brian J.; Le Rousseau, Jérôme H. L.; Scales, John A. Geophysical Journal International, Vol. 156, Issue 1 https://doi.org/10.1111/j.1365-246X.2004.02093.x	journal	January 2004
Cube‐Resonance Method to Determine the Elastic Constants of Solids Demarest, Harold H. The Journal of the Acoustical Society of America, Vol. 49, Issue 3B https://doi.org/10.1121/1.1912415	journal	March 1971
Rhenium diboride’s monocrystal elastic constants, 308 to 5 K Suzuki, Yoko; Levine, Jonathan B.; Migliori, Albert The Journal of the Acoustical Society of America, Vol. 127, Issue 5 https://doi.org/10.1121/1.3372629	journal	May 2010
RUScal: Software for the analysis of resonant ultrasound spectroscopy measurements Torres, James; Flores-Betancourt, Alexis; Hermann, Raphaël P. The Journal of the Acoustical Society of America, Vol. 151, Issue 5 https://doi.org/10.1121/10.0011397	journal	May 2022
Soft anharmonic phonons and ultralow thermal conductivity in Mg ₃ (Sb, Bi) ₂ thermoelectrics Ding, Jingxuan; Lanigan-Atkins, Tyson; Calderón-Cueva, Mario Science Advances, Vol. 7, Issue 21 https://doi.org/10.1126/sciadv.abg1449	journal	May 2021
Thermoelectric Cooling and Power Generation DiSalvo, F. J. Science, Vol. 285, Issue 5428, p. 703-706 https://doi.org/10.1126/science.285.5428.703	journal	July 1999
Ultrahigh power factor and thermoelectric performance in hole-doped single-crystal SnSe Zhao, L.-D.; Tan, G.; Hao, S. Science, Vol. 351, Issue 6269, p. 141-144 https://doi.org/10.1126/science.aad3749	journal	November 2015
3D charge and 2D phonon transports leading to high out-of-plane ZT in n-type SnSe crystals Chang, Cheng; Wu, Minghui; He, Dongsheng Science, Vol. 360, Issue 6390 https://doi.org/10.1126/science.aaq1479	journal	May 2018
A neutron diffraction study of the stannite-kesterite solid solution series [A neutron diffraction study of the stannite-kesterite solid solution series] Schorr, Susan; Hoebler, Hans-Joachim; Tovar, Michael European Journal of Mineralogy, Vol. 19, Issue 1 https://doi.org/10.1127/0935-1221/2007/0019-0065	journal	February 2007
The acoustical Grüneisen constants of solids Belomestnykh, V. N. Technical Physics Letters, Vol. 30, Issue 2 https://doi.org/10.1134/1.1666949	journal	February 2004
Interrelation between anharmonicity and lateral strain in quasi-isotropic polycrystalline solids Belomestnykh, V. N.; Tesleva, E. P. Technical Physics, Vol. 49, Issue 8 https://doi.org/10.1134/1.1787679	journal	August 2004
Thermal expansion of bismuth telluride Pavlova, L. M.; Shtern, Yu. I.; Mironov, R. E. High Temperature, Vol. 49, Issue 3 https://doi.org/10.1134/S0018151X1103014X	journal	June 2011
Heat capacity and thermodynamic properties of lead selenide and lead telluride Pashinkin, A. S.; Mikhailova, M. S.; Malkova, A. S. Inorganic Materials, Vol. 45, Issue 11 https://doi.org/10.1134/S0020168509110065	journal	November 2009
Effective Modulus of Elasticity and Grüneisen Parameter of Chalcogenide Glasses in the As–Tl–S System Sanditov, D. S.; Darmaev, M. V. Inorganic Materials, Vol. 55, Issue 6 https://doi.org/10.1134/S0020168519060153	journal	June 2019
Relation between the parameters of the elasticity theory and averaged bulk modulus of solids Sanditov, D. S.; Belomestnykh, V. N. Technical Physics, Vol. 56, Issue 11 https://doi.org/10.1134/S106378421111020X	journal	November 2011
Phase Change Materials Raoux, Simone Annual Review of Materials Research, Vol. 39, Issue 1 https://doi.org/10.1146/annurev-matsci-082908-145405	journal	August 2009
Temperature Dependent Young's Modulus of Si and Ge Vanhellemont, J.; Swarnakar, A. K.; Van der Biest, O. ECS Transactions, Vol. 64, Issue 11 https://doi.org/10.1149/06411.0283ecst	journal	August 2014
The Meed for Experimentally Determined X-ray Elastic Constants Marion, R. H.; Cohen, J. B. Advances in X-ray Analysis, Vol. 20 https://doi.org/10.1154/S0376030800011964	journal	January 1976
Structure and temperature transformation of SnSe. Stabilization of a new cubic phase Sn4Bi2Se7 Adouby, K.; Pérez-Vicente, C.; Jumas, J. C. Zeitschrift für Kristallographie - Crystalline Materials, Vol. 213, Issue 6 https://doi.org/10.1524/zkri.1998.213.6.343	journal	January 1998
Texture development in Bi₂Te₃ during hot forging Gonzalez, E. J.; Blendell, J. E.; Cline, J. P. Journal of Materials Research, Vol. 13, Issue 3 https://doi.org/10.1557/JMR.1998.0097	journal	March 1998
High-temperature order/disorder transition in the thermoelectric Cu ₃ SbSe ₃ Kirkham, Melanie; Majsztrik, Paul; Skoug, Eric Journal of Materials Research, Vol. 26, Issue 15 https://doi.org/10.1557/jmr.2011.43	journal	April 2011
Establishment of the Elastic Property Database of Fe-base Alloys Su, Di; He, Yan-Lin; Liu, Ji-Qiong Proceedings of the First International Conference on Information Sciences, Machinery, Materials and Energy https://doi.org/10.2991/icismme-15.2015.377	conference	January 2015
Thermoelectric Properties of Scandium Sesquitelluride Cheikh, Dean; Lee, Kathleen; Peng, Wanyue Materials, Vol. 12, Issue 5 https://doi.org/10.3390/ma12050734	journal	March 2019
Inherent Anharmonicity of Harmonic Solids Agne, Matthias T.; Anand, Shashwat; Snyder, G. Jeffrey Research, Vol. 2022 https://doi.org/10.34133/2022/9786705	journal	January 2022
Temperature variation of elastic constants of single-crystal forsterite between -190.DEG. and 400.DEG.C. Sumino, Yoshio; Nishizawa, Osamu; Goto, Takayasu Journal of Physics of the Earth, Vol. 25, Issue 4 https://doi.org/10.4294/jpe1952.25.377	journal	January 1977
Basic Notions of Condensed Matter Physics Anderson, Philip W.; Anderson, Philip W. CRC Press https://doi.org/10.4324/9780429494116	book	March 2018

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