For examination of a constraint release (CR) contribution to relaxation in monodisperse systemsof moderately entangled six-arm star polyisoprenes (PI), viscoelastic measurements were conducted for blendsof these star PI and a high molecular weight (
M) linear PI. In the blends, the linear PI was dilute and entangledonly with the
matrix star chains. The terminal relaxation of this dilute linear probe occurred through competitionof reptation and Rouse-type CR, as confirmed from its relaxation mode distribution. The probe relaxation time
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probe measured in the blends was utilized in the following way to elucidate the CR relaxation in the star
matrices:Since the CR time
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CR of the star
matrix is expressed as (2
Na)
2![](/i<font color=)
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life with 2
Na and
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life being the entanglementnumber per two arms (span length) and the effective entanglement lifetime in the system,
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CR can be evaluatedif the
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life value is known. For determination of the
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life value, the
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probe data of the linear probe in the star
matrices was compared with the previously obtained
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probe data of the
same probe in linear PI
matrices under amolecular idea that
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life should be the same in a
pair of star and linear
matrices giving the same
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probe value. Themolecular weight
ML,mat of the linear
matrix paired with each star
matrix was thus specified, and the value of
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lifein the star
matrix was determined by utilizing this
ML,mat value in a previously obtained empirical equation of
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lifein the linear
matrices (
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life = 2.5 × 10
-18ML,mat3 s at 40
![](/i<font color=)
mages/entities/deg.gif">C). For the monodisperse systems of the star PI, the
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CR(=(2
Na)
2![](/i<font color=)
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life) thus evaluated was close to the measured relaxation time, indicating that the CR mechanismsignificantly contributes to the star relaxation. This result was in harmony with the validity of the molecularpicture of partial dynamic-tube-dilation (p-DTD) confirmed for the star PI.