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Einstein Temperature

Einstein Temperature

Jan 27, 20241 min read

  • Physics

NNe​​=n2.612nQ​​

τE​=m2πℏ2​(2.612VN​)32​

N0​=N(1−(τE​τ​)23​)

dU=dqˉ​Q+dqˉ​W


Graph View

  • NeN=2.612nQn\displaystyle \frac{N_{e}}{N}=\frac{2.612n_{Q}}{n}NNe​​=n2.612nQ​​
  • τE=2πℏ2m(N2.612V)23\displaystyle \tau_{E}=\frac{2\pi \hbar ^{2}}{m}\left( \frac{N}{2.612\mathrm{V}} \right)^{\frac{2}{3}}τE​=m2πℏ2​(2.612VN​)32​
  • N0=N(1−(ττE)32)\displaystyle N_{0}=N\left( 1-\left( \frac{\tau}{\tau_{E}} \right)^{\frac{3}{2}} \right)N0​=N(1−(τE​τ​)23​)
  • dU=dqˉQ+dqˉW\displaystyle \mathrm{d}U=\mathrm{d}\kern{-4.3pt}\bar{\small\phantom{q}}Q+\mathrm{d}\kern{-4.3pt}\bar{\small\phantom{q}}WdU=dqˉ​Q+dqˉ​W

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