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Similarly, the earlier studies of S<sub>8</sub> copolymerization with [[thiiranes]] (propylene sulfide; PS), at temperatures below T<sub>f</sub> for S<sub>8</sub> homopolymerization, revealed that the average [[sulfur]] rank in the copolymer was increased from 1 to 7 when 8[S<sub>8</sub>]<sub>0</sub>/[PS]<sub>0</sub> ratio was increasing from 0 to 10.<ref>{{cite journal|last=PENCZEK|first=STANISŁAW|author2=ŚLAZAK, ROMUALD |author3=DUDA, ANDRZEJ |title=Anionic copolymerisation of elemental sulphur|journal=Nature|date=29 June 1978|volume=273|issue=5665|pages=738–739|doi=10.1038/273738a0}}</ref><ref>{{cite journal|last=Duda|first=Andrzej|author2=Penczek, Stanislaw |title=Anionic copolymerization of elemental sulfur with propylene sulfide|journal=Macromolecules|date=January 1982|volume=15|issue=1|pages=36–40|doi=10.1021/ma00229a007}}</ref>
==Thermodynamics==<ref>{{cite book|last1=al.]|first1=edited by Philippe Dubois ... [et|title=Handbook of ring-opening polymerization|date=2008|publisher=Wiley-VCH|location=Weinheim|isbn=978-3-527-31953-4|edition=1. Aufl.}}</ref>.
The ability of a [[cyclic compound|cyclic monomer]] to polymerize, using ROP is determined by two integral factors: the conversion of monomer molecules into [[macromolecules]] must be allowed both thermodynamically and kinetically. By practice, this means that: (i) monomer-macromolecule equilibrium must shift to the right-hand (macromolecules) side; and (ii) the corresponding polymerization mechanism should exist, which could enable conversion of the monomer molecules into the polymer repeating units, within the operable polymerization time
The formal thermodynamic criterion of a given monomer polymerizability is related to a sign of the [[free enthalpy]] ([[Gibbs free energy]]) of polymerization:
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