A model for the specific heat of amorphous polymers

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

A model is presented that characterizes the temperature dependence of the specific heat of amorphous polymers. The model utilizes a density of vibrational states given by ρ(ω)∝ωd̃-1, where d̃ is the fracton, or spectral, dimension. This density of vibrational states, when introduced into the standard Debye model, leads to a specific heat temperature dependence of the form C(T)∝(T/⊖) , where ⊖ is a characteristic temperature. This model fits the data well for the temperature region ∼4 to ∼40 K. A key feature of the model is the prediction of a crossover of the polymer scaling properties that causes a crossover from T2 to T 5/3 of the specific heat temperature dependence. In addition, this model allows a simple estimate of the specific heat for a wide range of polymers using only the formula weight.

Original languageEnglish
Pages (from-to)4680-4683
Number of pages4
JournalJournal of Chemical Physics
Volume84
Issue number8
Publication statusPublished - 1986

Fingerprint

Specific heat
Polymers
specific heat
polymers
vibrational states
temperature dependence
crossovers
Temperature
scaling
temperature
causes
estimates
predictions

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

Cite this

A model for the specific heat of amorphous polymers. / Allen, James Paul.

In: Journal of Chemical Physics, Vol. 84, No. 8, 1986, p. 4680-4683.

Research output: Contribution to journalArticle

@article{8e6b9781b4c94fef9684e12748fb74eb,
title = "A model for the specific heat of amorphous polymers",
abstract = "A model is presented that characterizes the temperature dependence of the specific heat of amorphous polymers. The model utilizes a density of vibrational states given by ρ(ω)∝ωd̃-1, where d̃ is the fracton, or spectral, dimension. This density of vibrational states, when introduced into the standard Debye model, leads to a specific heat temperature dependence of the form C(T)∝(T/⊖d̃) d̃, where ⊖d̃ is a characteristic temperature. This model fits the data well for the temperature region ∼4 to ∼40 K. A key feature of the model is the prediction of a crossover of the polymer scaling properties that causes a crossover from T2 to T 5/3 of the specific heat temperature dependence. In addition, this model allows a simple estimate of the specific heat for a wide range of polymers using only the formula weight.",
author = "Allen, {James Paul}",
year = "1986",
language = "English",
volume = "84",
pages = "4680--4683",
journal = "Journal of Chemical Physics",
issn = "0021-9606",
publisher = "American Institute of Physics Publising LLC",
number = "8",

}

TY - JOUR

T1 - A model for the specific heat of amorphous polymers

AU - Allen, James Paul

PY - 1986

Y1 - 1986

N2 - A model is presented that characterizes the temperature dependence of the specific heat of amorphous polymers. The model utilizes a density of vibrational states given by ρ(ω)∝ωd̃-1, where d̃ is the fracton, or spectral, dimension. This density of vibrational states, when introduced into the standard Debye model, leads to a specific heat temperature dependence of the form C(T)∝(T/⊖d̃) d̃, where ⊖d̃ is a characteristic temperature. This model fits the data well for the temperature region ∼4 to ∼40 K. A key feature of the model is the prediction of a crossover of the polymer scaling properties that causes a crossover from T2 to T 5/3 of the specific heat temperature dependence. In addition, this model allows a simple estimate of the specific heat for a wide range of polymers using only the formula weight.

AB - A model is presented that characterizes the temperature dependence of the specific heat of amorphous polymers. The model utilizes a density of vibrational states given by ρ(ω)∝ωd̃-1, where d̃ is the fracton, or spectral, dimension. This density of vibrational states, when introduced into the standard Debye model, leads to a specific heat temperature dependence of the form C(T)∝(T/⊖d̃) d̃, where ⊖d̃ is a characteristic temperature. This model fits the data well for the temperature region ∼4 to ∼40 K. A key feature of the model is the prediction of a crossover of the polymer scaling properties that causes a crossover from T2 to T 5/3 of the specific heat temperature dependence. In addition, this model allows a simple estimate of the specific heat for a wide range of polymers using only the formula weight.

UR - http://www.scopus.com/inward/record.url?scp=0037862983&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0037862983&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0037862983

VL - 84

SP - 4680

EP - 4683

JO - Journal of Chemical Physics

JF - Journal of Chemical Physics

SN - 0021-9606

IS - 8

ER -