Editing Talk:Second virial coefficient
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::: I highly recommend reading § 12-2 and § 12-3 of "Statistical Mechanics" by Donald A. McQuarrie. The situation is that the integral is often ''very hard'' to integrate analytically for anything other than, say, the [[Hard sphere: virial coefficients | hard sphere model]]. (See also the page on [[cluster integrals]]). The problem mentioned by Hill arises "...from the treatment of an imperfect gas as a perfect gas mixture of physical clusters". In this case, for <math>B_2</math>, the "ensemble" is a collection of pairs of molecules, at various distances and, for non-spherical molecules, orientations. For an example of such a calculation see section 2 of [http://dx.doi.org/10.1039/b009509p Carlos Menduiña, Carl McBride and Carlos Vega "The second virial coefficient of quadrupolar two center Lennard-Jones models", Physical Chemistry Chemical Physics '''3''' 1289 - 1296 (2001)] (a pdf is freely available [http://www.ucm.es/info/molecsim/carlmcbride.html here]) --[[User:Carl McBride | <b><FONT COLOR="#8B3A3A">Carl McBride</FONT></b>]] ([[User_talk:Carl_McBride |talk]]) 17:16, 3 May 2011 (CEST) | ::: I highly recommend reading § 12-2 and § 12-3 of "Statistical Mechanics" by Donald A. McQuarrie. The situation is that the integral is often ''very hard'' to integrate analytically for anything other than, say, the [[Hard sphere: virial coefficients | hard sphere model]]. (See also the page on [[cluster integrals]]). The problem mentioned by Hill arises "...from the treatment of an imperfect gas as a perfect gas mixture of physical clusters". In this case, for <math>B_2</math>, the "ensemble" is a collection of pairs of molecules, at various distances and, for non-spherical molecules, orientations. For an example of such a calculation see section 2 of [http://dx.doi.org/10.1039/b009509p Carlos Menduiña, Carl McBride and Carlos Vega "The second virial coefficient of quadrupolar two center Lennard-Jones models", Physical Chemistry Chemical Physics '''3''' 1289 - 1296 (2001)] (a pdf is freely available [http://www.ucm.es/info/molecsim/carlmcbride.html here]) --[[User:Carl McBride | <b><FONT COLOR="#8B3A3A">Carl McBride</FONT></b>]] ([[User_talk:Carl_McBride |talk]]) 17:16, 3 May 2011 (CEST) | ||