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Physical Chemistry 3: — Chemical Kinetics — - Christian-Albrechts ...

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Appendix G 307<br />

G.10 Zustandssumme für die Translationsbewegung<br />

I<br />

Teilchen im 1D-Kasten:<br />

³<br />

= 2 <br />

´2<br />

8 × =1 2 3 (G.101)<br />

<br />

I<br />

1D-Translationszustandssumme:<br />

y<br />

=<br />

=<br />

∞X<br />

− =<br />

<br />

Z ∞<br />

1<br />

−2 2 8 2 <br />

(G.102)<br />

µ 2<br />

2 12<br />

× ¡ in cm −1¢ (G.103)<br />

<br />

<br />

= µ 2<br />

2 12<br />

(G.104)<br />

I<br />

Teilchen im 3D-Kasten:<br />

" µ 2 µ 2 µ # 2<br />

= 2<br />

8 × <br />

+ +<br />

<br />

(G.105)<br />

I<br />

3DTranslationszustandssumme:<br />

y<br />

µ 32 2<br />

=<br />

× <br />

<br />

<br />

2<br />

=<br />

¡<br />

in cm<br />

−3 ¢ (G.106)<br />

µ 2<br />

2 32<br />

(G.107)<br />

I<br />

typische Werte:<br />

≈ 10 24 × <br />

(G.108)<br />

y<br />

<br />

<br />

≈ 10 24 cm −3<br />

(G.109)

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