[tex]I_A=BT^2e^{-\frac{e\varphi}{k_BT}}[/tex](adsbygoogle = window.adsbygoogle || []).push({});

We measure [tex]T[/tex] and [tex]I_A[/tex] and from that get work. If [tex]T_0[/tex] is first temperature in which we measured than

we get

[tex]\frac{I_A}{I_{A0}}=\frac{T^2}{T^2_0}e^{-\frac{e\varphi}{k_BT}(\frac{1}{T}-\frac{1}{T_0})}[/tex]

And from that we get

[tex]\varphi=-\frac{k_B}{e(\frac{1}{T}-\frac{1}{T_0})}ln\frac{I_AT^2_0}{I_{A0}T^2}[/tex]

and from that they calculate tangent like

[tex]\varphi=-\frac{k_B}{e}\frac{\Delta ln\frac{I_AT^2_0}{I_{A0}T^2}}{\Delta \frac{1}{T}}}[/tex]

What happened with [tex]T_0[/tex]?

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# Termoelectric emission

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