From chemistry-request&$at$&server.ccl.net Wed Mar 13 15:34:12 2002 Received: from mail.cs.tu-berlin.de (root /at\[130.149.17.13]) by server.ccl.net (8.11.6/8.11.0) with ESMTP id g2DKYCp10030 for ; Wed, 13 Mar 2002 15:34:12 -0500 Received: from eidfjord.cs.tu-berlin.de (daemon ":at:" eidfjord.cs.tu-berlin.de [130.149.17.26]) by mail.cs.tu-berlin.de (8.9.3/8.9.3) with ESMTP id VAA19342 for ; Wed, 13 Mar 2002 21:33:04 +0100 (MET) Received: (from anbeajbj(+ at +)localhost) by eidfjord.cs.tu-berlin.de (8.11.6+Sun/8.9.3) id g2DKX4515732; Wed, 13 Mar 2002 21:33:04 +0100 (MET) Date: Wed, 13 Mar 2002 21:33:04 +0100 (MET) From: Andreas Bender X-Sender: anbeajbj: at :eidfjord To: Computational Chemistry List Subject: Re: CCL:Electrostatic solvation model In-Reply-To: Message-ID: MIME-Version: 1.0 Content-Type: TEXT/PLAIN; charset=ISO-8859-1 Content-Transfer-Encoding: 8bit X-MIME-Autoconverted: from QUOTED-PRINTABLE to 8bit by server.ccl.net id g2DKYCp10031 Hi Andrew, I want to give you a simple illustration to your equation: a) For a point charge, you have E = Q / (r * r) (in non SI-units). b) Integrate that with respect to r, and you have U(r)= Q / r. c) You have interactions each particle with each other particle. So you have to sum up with respect to i and j. d) But - now you counted each interaction twice! Divide by 2, and you have the equation you mentioned. I hope that was your point, Good luck, Andreas On Wed, 13 Mar 2002, Andrew Horsfield wrote: > Can anyone point me to a proof of the following equation for the > electrostatic contribution to the solvation energy: > > U = 1/2 \sum_{ij} Q_i q_j / r_{ij} Mit freundlichen Grüssen, Andreas Bender Andreas Kieron Patrick Bender http://www.andreasbender.de