Osmotic virial coefficients: Difference between revisions
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Carl McBride (talk | contribs) (New page: ==Second virial coefficient== For an athermal polymer solution the osmotic second virial coefficient is given by: :<math>B_2 = \frac{1}{2} \iint f( \{ {\mathbf \Omega} \}) f( \{ {\ma...) |
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:<math>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}' \}</math> | :<math>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}' \}</math> | ||
where <math>V_{\rm ex} ( \{ {\mathbf \Omega} \},\{ {\mathbf \Omega}' \})</math> is the [[excluded volume]] for two polymers | |||
with conformations <math>\{ {\mathbf \Omega} \}</math> and <math>\{ {\mathbf \Omega}'\}</math>. The curly braces denotes an ensemble of molecular configurations for a single polymer. | |||
==References== | ==References== | ||
[[ | [[category: Virial coefficients]] | ||
Revision as of 14:15, 13 August 2007
Second virial coefficient
For an athermal polymer solution the osmotic second virial coefficient is given by:
- Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\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 (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle V_{\rm ex} ( \{ {\mathbf \Omega} \},\{ {\mathbf \Omega}' \})} is the excluded volume for two polymers with conformations Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \{ {\mathbf \Omega} \}} and . The curly braces denotes an ensemble of molecular configurations for a single polymer.
