patterns of reactivity scheme

in polymer science
synonym: Jenkins’ scheme
https://doi.org/10.1351/goldbook.15412
Method for the prediction of monomer reactivity ratios in binary copolymerization, based exclusively on experimentally determined parameters.
Notes:
  1. The parameters may be the monomer reactivity ratios for the separate copolymerizations of the monomers concerned, namely, 1 and 2, with a nonpolar monomer, e.g., styrene (\(\rm{S}\)), and a polar monomer, e.g., acrylonitrile (\(\rm{A}\)). The equations for the desired monomer reactivity ratios, \(r_{12}\) and \(r_{21}\), are then as follows: \[\ln r_{12} = \ln (r_{1\rm{S}} r_{\rm{S}2}) - [\ln\,(r_{\rm{AS}} r_{\rm{S}2}/r_{\rm{A}2)}][\ln\,(r_{\rm{SA}} r_{1\rm{S}}/r_{1\rm{A}})]/\ln\,(r_{\rm{AS}} r_{\rm{SA}})\] \[\ln r_{21} = \ln (r_{2\rm{S}} r_{\rm{S}1}) - [\ln\,(r_{\rm{AS}} r_{\rm{S}1}/r_{\rm{A}1)}][\ln\,(r_{\rm{SA}} r_{2\rm{S}}/r_{2\rm{A}})]/\ln\,(r_{\rm{AS}} r_{\rm{SA}})\]
  2. The patterns of reactivity scheme is known also as Jenkins’ scheme.
Source:
PAC, 2008, 80, 2163. (Glossary of terms related to kinetics, thermodynamics, and mechanisms of polymerization (IUPAC Recommendations 2008)) on page 2180 [Terms] [Paper]