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Display information for equation id:math.2550.97 on revision:2550
* Page found: Das ideale Fermigas (eq math.2550.97)
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\begin{align}
& \bar{N}=V{{N}_{C}}\xi \left[ 1-{{2}^{-\frac{3}{2}}}\frac{{\bar{N}}}{V{{N}_{C}}} \right] \\
& \Rightarrow \xi ={{e}^{\frac{\mu }{kT}}}\approx \frac{{\bar{N}}}{V{{N}_{C}}}\left[ 1+{{2}^{-\frac{3}{2}}}\frac{{\bar{N}}}{V{{N}_{C}}} \right] \\
& \Rightarrow U\approx V{{N}_{C}}\frac{3}{2}kT{{e}^{\frac{\mu }{kT}}}\left[ 1-{{e}^{\frac{\mu }{kT}}}\frac{1}{{{2}^{\frac{5}{2}}}} \right]\approx \frac{3}{2}kT\bar{N}\left[ 1+{{2}^{-\frac{3}{2}}}\frac{{\bar{N}}}{V{{N}_{C}}} \right]\left[ 1-\frac{1}{{{2}^{\frac{5}{2}}}}\frac{{\bar{N}}}{V{{N}_{C}}} \right] \\
\end{align}
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data-mjx-texclass="ORD"><mn>2</mn></mrow></mfrac></mrow></mrow></msup></mrow></mfrac></mrow><mo data-mjx-texclass="CLOSE">]</mo></mrow><mo>≈</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></mfrac></mrow><mi>k</mi><mi>T</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>N</mi><mo>¯</mo></mover></mrow></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">[</mo><mn>1</mn><mo>+</mo><msup><mn>2</mn><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo>−</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></mfrac></mrow></mrow></mrow></msup><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>N</mi><mo>¯</mo></mover></mrow></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow 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