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2. At T = 0, the standard translational partition function, qt, = V/ , and standard...

2. At T = 0, the standard translational partition function, qt, = V/ \Lambda ^3 , and standard rotational partition function, qr, = T⁄Θr, are not valid.

a) Why? What important low-T behavior do they get wrong?

b) What are the true values of qt and qr at T = 0? Why?

c) Why are we using wrong expressions, how did this problem come about?

e) Does the vibrational partition function have the same problem? Why or why not?

d) How could the problem be fixed for doing calculations at very low T?

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Answer #1

thCB. Rotational pavhihon function 9x = kot Translational partition function q = (au mk TJ ?? @ At T=0 q2 =9t=0 At low temper

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