Regular Mixing Thermodynamics of Hydrogenated Styrene–Isoprene
Block–Random Copolymers
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Abstract
Random copolymerization of A and
B monomers represents a versatile
method to tune interaction strengths between polymers, as A<i>r</i>B random copolymers will exhibit a smaller effective Flory
interaction parameter χ (or interaction energy density <i>X</i>) upon mixing with A or B homopolymers than upon mixing
A and B homopolymers with each other, and the A<i>r</i>B
composition can be tuned continuously. This approach can also be used
to tune the segregation strength in A–A<i>r</i>B
“block–random” copolymers. Simple models of polymer
mixing thermodynamics suggest that the effective interaction energy
density in such block–random copolymers should follow <i>X</i><sub>A–A<i>r</i>B</sub> = <i>f</i><sub>B</sub><sup>2</sup><i>X</i><sub>A–B</sub>,
but this prediction has not been tested quantitatively. The present
work systematically assesses the validity of this rule for thermally
stable hydrogenated derivatives of styrene–isoprene block copolymers,
through measurements of the order–disorder transition (ODT)
temperature on near-symmetric diblock and diblock–random copolymers
of varying composition and suitable molecular weight (M). Both hydrogenated
derivatives wherein the styrene aromaticity is retained, and derivatives
wherein the styrene units are saturated to vinylcyclohexane, are examined,
and both are found to closely obey the <i>X</i><sub>A–A<i>r</i>B</sub> = <i>f</i><sub>B</sub><sup>2</sup><i>X</i><sub>A–B</sub> prediction, thereby confirming the
utility of this simple relationship in designing block copolymers
with targeted interaction strengths using only these two common monomers.
The reduction in <i>X</i><sub>A–A<i>r</i>B</sub> over <i>X</i><sub>A–B</sub> permits the
synthesis of polymers having much larger <i>M</i> and domain
spacing <i>d</i> while maintaining a thermally accessible
ODT; measured domain spacings are found to closely follow the expected
scaling, <i>d</i> ∼ <i>X</i><sup>1/6</sup><i>M</i><sup>2/3</sup>