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zT vs n

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physicssolid state physicsthermodynamics

Thermoelectric figure of merit zTzT vs carrier concentration nn for Bi2Te3 based on empirical data in α−ln⁡σ\alpha - \ln \sigma plot as a thermoelectric material performance indicator. Tuning nn for optimal zTzT involves a compromise between thermal conductivity κ\kappa, Seebeck coefficient SS and electrical conductivity σ\sigma. Increasing the electrical conductivity σ\sigma not only produces an increase in the electronic thermal conductivity κel\kappa_\text{el} but also usually decreases the Seebeck coefficient SS. This makes optimal zTzT difficult to achieve. Plot scales are κ[W/mK]∈[0,10]\kappa [W / m K] \in [0,10], S[mV]∈[0,500]S [mV] \in [0,500], σ[1/(Ωcm)]∈[0,5000]\sigma [1/(\Omega cm)] \in [0,5000].


zT vs n

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zt-vs-n.tex (179 lines)

\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},
    ]
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      } node[pos=0.48, anchor=north] {$zT$};
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  \end{axis}
\end{tikzpicture}
\end{document}