Dynamic viscoelasticity of a series of poly(4-n-alkylstyrene)s and their alkyl chain length dependence

Satoru Matsushima, Atsushi Takano, Yoshiaki Takahashi, Yushu Matsushita

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

Dynamic viscoelastic measurements were performed for a series of poly(4-n-alkylstyrene)s with six different n-alkyl side chains, that is, methyl, ethyl, propyl, butyl, hexyl and octyl groups. Based on the time-temperature superposition principle, storage modulus G′, loss modulus G″ and loss tangent tan δ were shifted with horizontal shift factor aT and vertical shift factor bT, giving well superposed master curves for all the polymers. With increase of the number of carbon atoms, plateau modulus GN 0, which corresponds to G′ value at minimum tan δ, decreases, while entanglement molecular weight Me(=ρRT/GN 0) increases, where ρ is the polymer density, R is the gas constant and T is the absolute temperature. Degree of polymerization at onset of entanglement, Ne, which defined as Me/M0, where M0 denotes the molecular weight of each monomer, also increases with increase of n-alkyl side chain length. Packing length estimated from the empirical equation by Fetters also increases with increase of n-alkyl lengths. These results are presumably due to large polymer chain thickness caused directly by substituents on phenyl rings of styrene units.

Original languageEnglish
Pages (from-to)137-142
Number of pages6
JournalPolymer
Volume133
DOIs
Publication statusPublished - Dec 20 2017

Fingerprint

Viscoelasticity
Chain length
Polymers
Molecular weight
Styrene
Theophylline
Carbon
Monomers
Elastic moduli
Gases
Polymerization
Atoms
Temperature

All Science Journal Classification (ASJC) codes

  • Organic Chemistry
  • Polymers and Plastics

Cite this

Dynamic viscoelasticity of a series of poly(4-n-alkylstyrene)s and their alkyl chain length dependence. / Matsushima, Satoru; Takano, Atsushi; Takahashi, Yoshiaki; Matsushita, Yushu.

In: Polymer, Vol. 133, 20.12.2017, p. 137-142.

Research output: Contribution to journalArticle

Matsushima, Satoru ; Takano, Atsushi ; Takahashi, Yoshiaki ; Matsushita, Yushu. / Dynamic viscoelasticity of a series of poly(4-n-alkylstyrene)s and their alkyl chain length dependence. In: Polymer. 2017 ; Vol. 133. pp. 137-142.
@article{d99c5fd5ce8f40ec9773645878ebf2cd,
title = "Dynamic viscoelasticity of a series of poly(4-n-alkylstyrene)s and their alkyl chain length dependence",
abstract = "Dynamic viscoelastic measurements were performed for a series of poly(4-n-alkylstyrene)s with six different n-alkyl side chains, that is, methyl, ethyl, propyl, butyl, hexyl and octyl groups. Based on the time-temperature superposition principle, storage modulus G′, loss modulus G″ and loss tangent tan δ were shifted with horizontal shift factor aT and vertical shift factor bT, giving well superposed master curves for all the polymers. With increase of the number of carbon atoms, plateau modulus GN 0, which corresponds to G′ value at minimum tan δ, decreases, while entanglement molecular weight Me(=ρRT/GN 0) increases, where ρ is the polymer density, R is the gas constant and T is the absolute temperature. Degree of polymerization at onset of entanglement, Ne, which defined as Me/M0, where M0 denotes the molecular weight of each monomer, also increases with increase of n-alkyl side chain length. Packing length estimated from the empirical equation by Fetters also increases with increase of n-alkyl lengths. These results are presumably due to large polymer chain thickness caused directly by substituents on phenyl rings of styrene units.",
author = "Satoru Matsushima and Atsushi Takano and Yoshiaki Takahashi and Yushu Matsushita",
year = "2017",
month = "12",
day = "20",
doi = "10.1016/j.polymer.2017.10.065",
language = "English",
volume = "133",
pages = "137--142",
journal = "Polymer",
issn = "0032-3861",
publisher = "Elsevier BV",

}

TY - JOUR

T1 - Dynamic viscoelasticity of a series of poly(4-n-alkylstyrene)s and their alkyl chain length dependence

AU - Matsushima, Satoru

AU - Takano, Atsushi

AU - Takahashi, Yoshiaki

AU - Matsushita, Yushu

PY - 2017/12/20

Y1 - 2017/12/20

N2 - Dynamic viscoelastic measurements were performed for a series of poly(4-n-alkylstyrene)s with six different n-alkyl side chains, that is, methyl, ethyl, propyl, butyl, hexyl and octyl groups. Based on the time-temperature superposition principle, storage modulus G′, loss modulus G″ and loss tangent tan δ were shifted with horizontal shift factor aT and vertical shift factor bT, giving well superposed master curves for all the polymers. With increase of the number of carbon atoms, plateau modulus GN 0, which corresponds to G′ value at minimum tan δ, decreases, while entanglement molecular weight Me(=ρRT/GN 0) increases, where ρ is the polymer density, R is the gas constant and T is the absolute temperature. Degree of polymerization at onset of entanglement, Ne, which defined as Me/M0, where M0 denotes the molecular weight of each monomer, also increases with increase of n-alkyl side chain length. Packing length estimated from the empirical equation by Fetters also increases with increase of n-alkyl lengths. These results are presumably due to large polymer chain thickness caused directly by substituents on phenyl rings of styrene units.

AB - Dynamic viscoelastic measurements were performed for a series of poly(4-n-alkylstyrene)s with six different n-alkyl side chains, that is, methyl, ethyl, propyl, butyl, hexyl and octyl groups. Based on the time-temperature superposition principle, storage modulus G′, loss modulus G″ and loss tangent tan δ were shifted with horizontal shift factor aT and vertical shift factor bT, giving well superposed master curves for all the polymers. With increase of the number of carbon atoms, plateau modulus GN 0, which corresponds to G′ value at minimum tan δ, decreases, while entanglement molecular weight Me(=ρRT/GN 0) increases, where ρ is the polymer density, R is the gas constant and T is the absolute temperature. Degree of polymerization at onset of entanglement, Ne, which defined as Me/M0, where M0 denotes the molecular weight of each monomer, also increases with increase of n-alkyl side chain length. Packing length estimated from the empirical equation by Fetters also increases with increase of n-alkyl lengths. These results are presumably due to large polymer chain thickness caused directly by substituents on phenyl rings of styrene units.

UR - http://www.scopus.com/inward/record.url?scp=85034645447&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85034645447&partnerID=8YFLogxK

U2 - 10.1016/j.polymer.2017.10.065

DO - 10.1016/j.polymer.2017.10.065

M3 - Article

AN - SCOPUS:85034645447

VL - 133

SP - 137

EP - 142

JO - Polymer

JF - Polymer

SN - 0032-3861

ER -