Abstract
The thermal conductivity component associated with lattice vibrations is one of the quantities determining the thermoelectric activity of a material. We have simulated the dependences of phase composition and the phonon component of the thermal conductivity associated with it on the shape of nanoparticles of a Bi–Sb alloy with an equiatomic composition and with core–shell configuration. The shape of a particle is simulated by a coefficient corresponding to the extent of deviation of the particle shape from spherical or by its fractal dimension. It is shown that mutual solubilities of components depend on the nanoparticle shape and on the mutual arrangement of coexisting phases, and the thermodynamic equilibrium position for particles with complex morphology corresponds to the homogeneous state. Homogenization of a nanoparticle reduces the phonon component of its thermal conductivity by 70–80%.
Similar content being viewed by others
REFERENCES
Y. Du, J. Xu, B. Paul, and P. Eklund, Appl. Mater. Today 12, 366 (2018). https://doi.org/10.1016/j.apmt.2018.07.004
J.-Z. Hu, B. Liu, J. Zhou, B. Li, and Y. Wang, Jpn. J. Appl. Phys. 57, 71801 (2018). https://doi.org/10.7567/JJAP.57.071801
L. C. Din, N. Meyerheinrich, L. Tan, K. Rahaoui, R. Jain, and A. Akbarzadeh, Energy Procedia 110, 32 (2018). https://doi.org/10.1016/j.egypro.2017.03.101
Z. Li, N. Miao, J. Zhou, Z. Sun, Z. Liu, and H. Xu, Nano Energy 43, 285 (2018). https://doi.org/10.1016/j.nanoen.2017.11.043
I. V. Erofeeva, M. V. Dorokhin, V. P. Lesnikov, Y. M. Kuznetsov, A. V. Zdoroveyshchev, and E. A. Pitirimova, Semiconductors 51, 1403 (2017). https://doi.org/10.1134/S1063782617110112
O. Caballero-Calero and M. Martín-González, Scr. Mater. 111, 54 (2016). https://doi.org/10.1016/j.scriptamat.2015.04.020
L. P. Bulat, A. V. Novotel’nova, A. S. Tukmakova, D. E. Yerezhep, V. B. Osvenskii, A. I. Sorokin, D. A. Pshenai-Severin, and S. Ashmontas, Tech. Phys. 62, 604 (2017). https://doi.org/10.1134/S1063784217040053
M. Otsuka, R. Homma, and Y. Hasegawa, J. Electron. Mater. 46, 2752 (2017). https://doi.org/10.1007/s11664-016-4955-x
S. Lee, K. Esfarjani, J. Mendoza, M. S. Dresselhaus, and G. Chen, Phys. Rev. B 89, 85206 (2014). https://doi.org/10.1103/PhysRevB.89.085206
N. S. Petrova, V. A. Danilov, Y. A. Boikov, V. S. Kuznetsova, and S. V. Novikov, Tech. Phys. 63, 1026 (2018). https://doi.org/10.1134/S106378421807023X
M. A. Bykov, G. F. Voronin, and N. M. Mukhamedzhanova, Direct and Inverse Problems in Chemical Thermodynamics (Nauka, Novosibirsk, 1987).
K. Sim and J. Lee, J. Alloys Compd. 590, 140 (2014). https://doi.org/10.1016/j.jallcom.2013.12.101
J. Sopoušek, J. Vřešt'ál, J. Pinkas, P. Broz, J. Buršik, A. Styskalik, D. Skoda, A. Zobak, and J. Lee, CALPHAD: Comput. Coupling Phase Diagrams Thermochem. 45, 33 (2014). https://doi.org/10.1016/j.calphad.2013.11.004
F. Monji and M. A. Jabbareh, CALPHAD: Comput. Coupling Phase Diagrams Thermochem. 58, 1 (2017). https://doi.org/10.1016/j.calphad.2017.04.003
V. B. Fedoseev, A. V. Shishulin, E. K. Titaeva, and E. N. Fedoseeva, Phys. Solid State 58, 2095 (2016). https://doi.org/10.1134/S1063783416100152
A. V. Shishulin and V. B. Fedoseev, Inorg. Mater. 54, 546 (2018). https://doi.org/10.1134/S0020168518050114
G. Guisbiers, R. Mendoza-Pérez, L. Bazán-Díaz, R. Mendoza-Cruz, J. J. Velázquez-Salazar, and M. J. Yakamán, J. Phys. Chem. 121, 6930 (2017). https://doi.org/10.1021/acs.jpcc.6b09115
M. Cui, H. Lu, H. Jiang, Z. Cao, and X. Meng, Sci. Rep. 7, 41990 (2017). https://doi.org/10.1038/srep41990
V. B. Fedoseev and A. V. Shishulin, Phys. Solid State 60, 1398 (2018). https://doi.org/10.1134/S1063783418070120
V. B. Fedoseev and E. N. Fedoseeva, Russ. J. Phys. Chem. A 88, 436 (2014). https://doi.org/10.1134/S0036024414020083
D. Hourlier and P. Perrot, Mater. Sci. Forum 653, 77 (2010). doi 10.4028/www.scientific.net/MSF.653.77
A. V. Knyazev, E. N. Bulanov, and E. V. Vlasova, Inorg. Mater. Appl. Res. 3, 417 (2012). https://doi.org/10.1134/S2075113312050073
V. B. Fedoseev, Pis’ma Mater. 2, 78 (2012).
S. V. Kalinin, D. L. Gorbachev, A. Yu. Borisevich, K. V. Tomashevitch, A. A. Vertegel, A. J. Markworth, and Yu. D. Tretyakov, Phys. Rev. E 61, 1189 (2000). https://doi.org/10.1103/PhysRevE.61.1189
V. N. Glazkov, Kinetic and Electric Phenomena in Solid Bodies and Metals (Mosk. Fiz.-Tekh. Inst., Moscow, 2015).
A. Bose, C. A. Schuh, J. C. Tobia, N. Tuncer, N. M. Mykulowycz, A. Preston, A. C. Barbati, B. Kernan, M. A. Gibson, D. Krause, T. Brzezinski, J. Schroers, R. Fulop, J. S. Myerberg, M. Sowerbutts, et al., Int. J. Refract. Met. Hard Mater. 73, 22 (2018). https://doi.org/10.1016/j.ijrmhm.2018.01.019
A. I. Gusev and S. I. Sadovnikov, JETP Lett. 106, 454 (2017). https://doi.org/10.1134/S0021364017190080
M. J. Marcinkowski, Philos. Mag. A 145, 159 (1968). https://doi.org/10.1080/14786436808218189
W. Tyson and W. Miller, Surf. Sci. 62, 267 (1977). https://doi.org/10.1016/0039-6028(77)90442-3
L. P. Bulat, V. T. Bublik, I. A. Drabkin, V. V. Karataev, V. B. Osvenskii, Yu. N. Parkhomenko, G. I. Pivovarov, D. A. Pshenai-Severin, and N. Yu. Tabachkova, J. Electron. Mater. 39, 16504 (2010). https://doi.org/10.1007/s11664-010-1250-0
L. P. Bulat, I. A. Drabkin, V. V. Karatayev, V. B. Osvenskii, Yu. N. Parkhomenko, D. A. Pshenay-Severin, and A. I. Sorokin, J. Electron. Mater. 43, 2121 (2014). https://doi.org/10.1007/s11664-014-2988-6
H. J. Goldsmid, Introduction to Thermoelectricity (Springer, Berlin, 2016), pp. 74–76. https://doi.org/10.1007/978-3-642-00716-3
FUNDING
This study was supported by the Russian Foundation for Basic Research (project no. 18-08-01356), as well as the Russian Foundation for Basic Research and Administration of Nizhegorodskaya oblast (project no. 18-43-520039).
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated by N. Wadhwa
Rights and permissions
About this article
Cite this article
Shishulin, A.V., Fedoseev, V.B. & Shishulina, A.V. Phonon Thermal Conductivity and Phase Equilibria of Fractal Bi–Sb Nanoparticles. Tech. Phys. 64, 512–517 (2019). https://doi.org/10.1134/S1063784219040200
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1063784219040200