Osmotic virial coefficients

Second virial coefficient

For an athermal polymer solution the osmotic second virial coefficient is given by:

$B_{2}={\frac {1}{2}}\iint f(\{{\mathbf {\Omega } }\})f(\{{\mathbf {\Omega } }'\})V_{\rm {ex}}(\{{\mathbf {\Omega } }\},\{{\mathbf {\Omega } }'\})d\{{\mathbf {\Omega } }\}d\{{\mathbf {\Omega } }'\}$

where Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle V_{\rm {ex}}(\{{\mathbf {\Omega } }\},\{{\mathbf {\Omega } }'\})} is the excluded volume for two polymers with conformations Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle \{{\mathbf {\Omega } }\}} and Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle \{{\mathbf {\Omega } }'\}} . The curly braces denotes an ensemble of molecular configurations for a single polymer.