Benutzer:Kriegerdaemon

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C = 9 N k B ( T θ D ) 3 0 θ D / T x 4 e x ( e x 1 ) 2 d x {\displaystyle C=9Nk_{B}({\frac {T}{\theta _{D}}})^{3}\int _{0}^{\theta _{D}/T}{\frac {x^{4}e^{x}}{(e^{x}-1)^{2}}}dx} {\displaystyle C=9Nk_{B}({\frac {T}{\theta _{D}}})^{3}\int _{0}^{\theta _{D}/T}{\frac {x^{4}e^{x}}{(e^{x}-1)^{2}}}dx}
θ D = h k B ( 6 π 2 N V ) 1 / 3 {\displaystyle \theta _{D}={\frac {h}{k_{B}}}\left({\frac {6\pi ^{2}N}{V}}\right)^{1/3}} {\displaystyle \theta _{D}={\frac {h}{k_{B}}}\left({\frac {6\pi ^{2}N}{V}}\right)^{1/3}}
C = 9 N k B ( T h k B ( 6 π 2 N V ) 1 / 3 ) 3 0 h k B ( 6 π 2 N V ) 1 / 3 / T x 4 e x ( e x 1 ) 2 d x {\displaystyle C=9\cdot N\cdot k_{B}({\frac {T}{{\frac {h}{k_{B}}}\left({\frac {6\cdot \pi ^{2}\cdot N}{V}}\right)^{1/3}}})^{3}\int _{0}^{{\frac {h}{k_{B}}}\left({\frac {6\cdot \pi ^{2}\cdot N}{V}}\right)^{1/3}/T}{\frac {x^{4}\cdot e^{x}}{(e^{x}-1)^{2}}}dx} {\displaystyle C=9\cdot N\cdot k_{B}({\frac {T}{{\frac {h}{k_{B}}}\left({\frac {6\cdot \pi ^{2}\cdot N}{V}}\right)^{1/3}}})^{3}\int _{0}^{{\frac {h}{k_{B}}}\left({\frac {6\cdot \pi ^{2}\cdot N}{V}}\right)^{1/3}/T}{\frac {x^{4}\cdot e^{x}}{(e^{x}-1)^{2}}}dx}
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