Thermoelectric figure of merit $zT$ vs carrier concentration $n$ for \ch{Bi2Te3} based on empirical data in ref.~\cite{rowe_alpha-sigma_1995}. Tuning $n$ for optimal $zT$ involves a compromise between thermal conductivity $\kappa$, Seebeck coefficient $S$ and electrical conductivity $\sigma$.
Increasing the electrical conductivity $\sigma$ not only produces an increase in the electronic thermal conductivity $\kappa_\text{el}$ but also usually decreases the Seebeck coefficient $S$. This makes optimal $\zT$ difficult to achieve. Plot scales are $\kappa/\si{\watt\per\meter\per\kelvin} \in [0,10]$, $S/\si{\micro\volt\per\kelvin} \in [0,500]$, $\sigma/\si{\per\ohm\per\centi\meter} \in [0,5000]$.
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% Thermoelectric figure of merit $zT$ vs carrier concentration $n$ for \ch{Bi2Te3} based on empirical data in ref.~\cite{rowe_alpha-sigma_1995}. Tuning $n$ for optimal $zT$ involves a compromise between thermal conductivity $\kappa$, Seebeck coefficient $S$ and electrical conductivity $\sigma$. Increasing the electrical conductivity $\sigma$ not only produces an increase in the electronic thermal conductivity $\kappa_\text{el}$ but also usually decreases the Seebeck coefficient $S$. This makes optimal $\zT$ difficult to achieve. Plot scales are $\kappa/\si{\watt\per\meter\per\kelvin} \in [0,10]$, $S/\si{\micro\volt\per\kelvin} \in [0,500]$, $\sigma/\si{\per\ohm\per\centi\meter} \in [0,5000]$.\documentclass[tikz]{standalone}\usepackage{pgfplots,siunitx}\pgfplotsset{compat=newest}\begin{document}\begin{tikzpicture}\begin{axis}[xmode=log,domain=1e17:1e21,ymax=1,enlargelimits=false,ylabel=$zT$,xlabel=Carrier concentration $n$ (\si{\per\centi\meter\cubed}),grid=both,width=12cm,height=8cm,decoration={name=none},]\addplot [ultra thick, smooth, red!85!black] coordinates {(1.174e+18, 0.2317)(1.551e+18, 0.2787)(2.016e+18, 0.3300)(2.549e+18, 0.3816)(3.171e+18, 0.4332)(3.891e+18, 0.4842)(4.697e+18, 0.5373)(5.623e+18, 0.5892)(6.714e+18, 0.6404)(8.017e+18, 0.6923)(9.650e+18, 0.7450)(1.178e+19, 0.7963)(1.461e+19, 0.8486)(1.878e+19, 0.8964)(2.481e+19, 0.9278)(3.279e+19, 0.9318)(4.334e+19, 0.9057)(5.515e+19, 0.8571)
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