Restructure single parabolic band(RSPB) model for quick analysis in thermoelectricity

'SPB Calculation And Plot.xltx' is an efficient tool to implement SPB analysis. The Seebeck coefficient, carrier consideration and mobility (or electrical conductivity) are required as inputs. Effective mass m*, intrinsic carrier mobility μ₀, weighted carrier mobility μ_w, optimal carrier concentration n_opt and corresponding maximum power factor PF_opt can be evaluated under SPB framework.(Ref: J. Zhu, X. Zhang, M. Guo, et al. Restructured single parabolic band model for quick analysis in thermoelectricity, Npj Computational Materials, 2021, 7:116. https://doi.org/10.1038/s41524-021-00587-5)

Beyond the parabolic band approximation, realistic band structures universally exhibit varying degrees of deviation from the ideal behavior. Such nonparabolicity can introduce significant systematic deviations in determining the Lorenz number from experimental Seebeck coefficients. Here, a robust correction scheme incorporating the band non-parabolicity factor (ξ) is developed to address these limitations. (Ref: J. Zhu, M. Liu, X. Dong, et al. Revisiting thermoelectric transport properties through a band nonparabolicity factor, National Science Review, 2025, 12(8):nwaf216. https://doi.org/10.1093/nsr/nwaf216)

Key words: thermoelectric, single parabolic band(SPB) model, Boltzmann transport equation(BTE), nonparabolicity

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[1] J. Zhu, X. Zhang, M. Guo, et al. Restructured single parabolic band model for quick analysis in thermoelectricity, Npj Computational Materials, 2021, 7:116. (Open Access) https://doi.org/10.1038/s41524-021-00587-5

[2] J. Zhu, M. Liu, X. Dong, et al. Revisiting thermoelectric transport properties through a band nonparabolicity factor, National Science Review, 2025, 12(8):nwaf216. (Open Access) https://doi.org/10.1093/nsr/nwaf216