Characterization of Lorenz number with Seebeck coefficient measurement

Kim, Hyun-Sik; Gibbs, Zachary M.; Tang, Yinglu; Wang, Heng

doi:10.1063/1.4908244

Title: Characterization of Lorenz number with Seebeck coefficient measurement

Journal Article · Wed Apr 01 00:00:00 EDT 2015 · APL materials

DOI:https://doi.org/10.1063/1.4908244· OSTI ID:22415270

Kim, Hyun-Sik ^[1]; Gibbs, Zachary M. ^[2]; Tang, Yinglu; Wang, Heng

Department of Materials Science, California Institute of Technology, Pasadena, California 91125 (United States)
Division of Chemistry and Chemical Engineering, California Institute of Technology, Pasadena, California 91125 (United States)

In analyzing zT improvements due to lattice thermal conductivity (κ{sub L}) reduction, electrical conductivity (σ) and total thermal conductivity (κ{sub Total}) are often used to estimate the electronic component of the thermal conductivity (κ{sub E}) and in turn κ{sub L} from κ{sub L} = ∼ κ{sub Total} − LσT. The Wiedemann-Franz law, κ{sub E} = LσT, where L is Lorenz number, is widely used to estimate κ{sub E} from σ measurements. It is a common practice to treat L as a universal factor with 2.44 × 10{sup −8} WΩK{sup −2} (degenerate limit). However, significant deviations from the degenerate limit (approximately 40% or more for Kane bands) are known to occur for non-degenerate semiconductors where L converges to 1.5 × 10{sup −8} WΩK{sup −2} for acoustic phonon scattering. The decrease in L is correlated with an increase in thermopower (absolute value of Seebeck coefficient (S)). Thus, a first order correction to the degenerate limit of L can be based on the measured thermopower, |S|, independent of temperature or doping. We propose the equation: L=1.5+exp[−(|S|)/(116) ] (where L is in 10{sup −8} WΩK{sup −2} and S in μV/K) as a satisfactory approximation for L. This equation is accurate within 5% for single parabolic band/acoustic phonon scattering assumption and within 20% for PbSe, PbS, PbTe, Si{sub 0.8}Ge{sub 0.2} where more complexity is introduced, such as non-parabolic Kane bands, multiple bands, and/or alternate scattering mechanisms. The use of this equation for L rather than a constant value (when detailed band structure and scattering mechanism is not known) will significantly improve the estimation of lattice thermal conductivity.

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OSTI ID:: 22415270

Journal Information:: APL materials, Vol. 3, Issue 4; Other Information: (c) 2015 Author(s); Country of input: International Atomic Energy Agency (IAEA); ISSN 2166-532X

Country of Publication:: United States

Language:: English

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Thermoelectric Performance of Na-Doped GeSe Shaabani, Laaya; Aminorroaya-Yamini, Sima; Byrnes, Jacob ACS Omega, Vol. 2, Issue 12 https://doi.org/10.1021/acsomega.7b01364	journal	December 2017
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Thermal Stability and Thermoelectric Properties of NaZnSb Gvozdetskyi, Volodymyr; Owens-Baird, Bryan; Hong, Sangki Materials, Vol. 12, Issue 1 https://doi.org/10.3390/ma12010048	journal	December 2018
High Thermoelectric Performance of Cu-Doped PbSe-PbS System Enabled by High-Throughput Experimental Screening You, Li; Li, Zhili; Ma, Quanying Research, Vol. 2020 https://doi.org/10.34133/2020/1736798	journal	January 2020

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