The quantum theory of the non-ideal gas. II. Behaviour at low temperatures

✍ Scribed by Erich Beth; George E. Uhlenbeck

• Publisher: Elsevier Science
• Year: 1937
• Weight: 408 KB
• Volume: 4
• Category: Article
• ISSN: 0031-8914
• DOI: 10.1016/s0031-8914(37)80189-5

✦ Synopsis

The considerations on the second virial coefficient B (T) given in the first part of this paper (see Ref. 1) have been extended by taking into account the influence of Bose or Fermi statistics (w 2) and of discrete quantum states (existence of polarization molecules, w 3). The expression (I, Eq. 21) for Bt could be simplified by carrying out the integration over r also for a general interaction potential U (r) (w 4). This, at least in certain limiting cases, allows the discussion of the behaviour of B (T) at low temperatures (w 5). *) This is in contrast to the case of B o I t z In a n n statistics, where, as we saw in I, w 3, S (r) is exactly unity for an ideal gas. *} This is reasonable, since we assume that there are no discrete states. t) k2v "~ m av/h2. Strictly speaking this statement is only true for the limit av --> 0.