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Glass Transition and Ionic Conductivity in Cellulose Acetate

 

作者: R. E. Barker,   Charles R. Thomas,  

 

期刊: Journal of Applied Physics  (AIP Available online 1964)
卷期: Volume 35, issue 1  

页码: 87-94

 

ISSN:0021-8979

 

年代: 1964

 

DOI:10.1063/1.1713104

 

出版商: AIP

 

数据来源: AIP

 

摘要:

For many polymers an effective glass transitionTg′can be defined via a change in slope of log&sgr;[&OHgr;−1cm−1] vsT−1[°K−1]. Measurements for dry cellulose acetate (CA), previously doped by soaking (48 h) in 0.1Malkali‐chloride solutions, indicate thatTg′depends on ion and polymer properties. A model based on fluctuation theory and ``free volume'' concepts is developed. The main assumptions are: (1) ions partially fill void space reducing the available local free volume; and (2) reduction in local free volume about an ion can be accounted for in the statistical expression⟨(V−V0)2⟩av=RTV0/Bby subtracting an effective ion volumeVifrom the total volume (per mole)Vof a reference aggregation of particles of most probable volumeV0. (Bis the bulk modulus,Rthe gas constant.) With simplified distribution functions, we obtained the expressionsTg≈B&dgr;2/6RV0andTg′=Tg−2a(&dgr;/m)m2Wi+am2Wi2, wherea = B/6V0R, Wiis ionic volume (per mole) from x‐ray measurements on crystals,m = Vi/Wi, and &dgr; is a measure of free volume. For CA, the best fit isTg′≈Tg−0.3Wi+0.14Wi2corresponding to a fractional free volumefg≈&dgr;/V0, which may be as much as 12%. BelowTg′, activation energies for conduction by alkali‐chloride‐doped CA were found to be given byEb[kcal / mole]≈ 15+0.7Wi≈16.1+2.45(1024&agr;), where &agr;[cm3/ion] is the electronic polarizability of the ion. AboveTg′, the energyEawas approximately 29 kcal/mole, independent of the ion. Alternative interpretations in terms of internal pressure and polarization effects are discussed.

 

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