Osmotic virial coefficients
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Second virial coefficient
For an athermal polymer solution the osmotic second virial coefficient is given by:
- Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle 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.