Theory of Step-Growth Ring Expansion Polymerization
The power law describing the distribution X n of molecular weights for polymerizations that proceed via step-growth ring expansion is shown to be X n ∼ n –3/2. This differs from ring-chain equilibria that are described by Jacobson–Stockmayer theory with its X n ∼ n –5/2 law. This difference in the p...
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| Veröffentlicht in: | Macromolecules 2021-09, Vol.54 (18), p.8548-8552 |
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| creator | Eichinger, B. E |
| description | The power law describing the distribution X n of molecular weights for polymerizations that proceed via step-growth ring expansion is shown to be X n ∼ n –3/2. This differs from ring-chain equilibria that are described by Jacobson–Stockmayer theory with its X n ∼ n –5/2 law. This difference in the power law for formation of rings has a profound effect on the distribution of macrocycle molecular weights. At high conversions, the number average degree of polymerization (DP) for a ring expansion polymerization is approximately the square root of that for an equivalent linear step-growth polymerization and is not increased by dilution. The weight average DP at high conversions is approximately one-half that of the number average DP for a linear polymerization at the same conversion. |
| doi_str_mv | 10.1021/acs.macromol.1c00997 |
| format | Article |
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E</creatorcontrib><title>Theory of Step-Growth Ring Expansion Polymerization</title><title>Macromolecules</title><addtitle>Macromolecules</addtitle><description>The power law describing the distribution X n of molecular weights for polymerizations that proceed via step-growth ring expansion is shown to be X n ∼ n –3/2. This differs from ring-chain equilibria that are described by Jacobson–Stockmayer theory with its X n ∼ n –5/2 law. This difference in the power law for formation of rings has a profound effect on the distribution of macrocycle molecular weights. At high conversions, the number average degree of polymerization (DP) for a ring expansion polymerization is approximately the square root of that for an equivalent linear step-growth polymerization and is not increased by dilution. 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E</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Theory of Step-Growth Ring Expansion Polymerization</atitle><jtitle>Macromolecules</jtitle><addtitle>Macromolecules</addtitle><date>2021-09-28</date><risdate>2021</risdate><volume>54</volume><issue>18</issue><spage>8548</spage><epage>8552</epage><pages>8548-8552</pages><issn>0024-9297</issn><eissn>1520-5835</eissn><abstract>The power law describing the distribution X n of molecular weights for polymerizations that proceed via step-growth ring expansion is shown to be X n ∼ n –3/2. This differs from ring-chain equilibria that are described by Jacobson–Stockmayer theory with its X n ∼ n –5/2 law. This difference in the power law for formation of rings has a profound effect on the distribution of macrocycle molecular weights. 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| title | Theory of Step-Growth Ring Expansion Polymerization |
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