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Display information for equation id:math.2573.21 on revision:2573

* Page found: Spezifische Wärme zweiatomiger idealer Gase (eq math.2573.21)

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Spezifische Wärme zweiatomiger idealer Gase Eq: math.2573.21

Hash: 60ae1554a1bea5f7e9b2bb9f61c33af7

TeX (original user input):

\begin{align}

& {{Z}_{r}}=\sum\limits_{l=0}^{\infty }{{}}(2l+1)\exp \left( -\beta \frac{l(l+1){{\hbar }^{2}}}{2m{{r}_{0}}^{2}} \right) \\

& =\sum\limits_{l=0}^{\infty }{{}}(2l+1)\exp \left( -\frac{{{\Theta }_{r}}}{T}l(l+1) \right) \\

& {{\Theta }_{r}}:=\frac{{{\hbar }^{2}}}{2m{{r}_{0}}^{2}k} \\

\end{align}

TeX (checked):

{\begin{aligned}&{{Z}_{r}}=\sum \limits _{l=0}^{\infty }{}(2l+1)\exp \left(-\beta {\frac {l(l+1){{\hbar }^{2}}}{2m{{r}_{0}}^{2}}}\right)\\&=\sum \limits _{l=0}^{\infty }{}(2l+1)\exp \left(-{\frac {{\Theta }_{r}}{T}}l(l+1)\right)\\&{{\Theta }_{r}}:={\frac {{\hbar }^{2}}{2m{{r}_{0}}^{2}k}}\\\end{aligned}}

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MathML (2.97 KB / 548 B) :

\begin{aligned} Z_{r} = \sum_{l = 0}^{\infty} (2 l + 1) \exp (- β \frac{l (l + 1) ℏ^{2}}{2 m {r_{0}}^{2}}) \\ = \sum_{l = 0}^{\infty} (2 l + 1) \exp (- \frac{Θ_{r}}{T} l (l + 1)) \\ Θ_{r} : = \frac{ℏ^{2}}{2 m {r_{0}}^{2} k} \end{aligned}

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Identifiers

$Z_{r}$

$l$

$l$

$β$

$l$

$l$

$m$

$r_{0}$

$l$

$l$

$Θ_{r}$

$T$

$l$

$l$

$Θ_{r}$

$m$

$r_{0}$

$k$

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