Warning: You are not logged in. Your IP address will be publicly visible if you make any edits. If you
log in or
create an account, your edits will be attributed to your username, along with other benefits.
The edit can be undone.
Please check the comparison below to verify that this is what you want to do, and then publish the changes below to finish undoing the edit.
Latest revision |
Your text |
Line 6: |
Line 6: |
|
| |
|
| :: And by the way, if this angle brackets mean the average, hence the second virial coefficient should depend on density, i.e <math>B_2(\rho, T)</math>. | | :: And by the way, if this angle brackets mean the average, hence the second virial coefficient should depend on density, i.e <math>B_2(\rho, T)</math>. |
|
| |
| ::: 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)
| |
|
| |
| :::: Thank you, I got it now --- these brackets correspond to averaging over angular coordinates.
| |