Journal ArticleDOI
Detailed comparison of the Williams–Watts and Cole–Davidson functions
C. P. Lindsey,G. D. Patterson +1 more
TLDR
In this paper, the distribution function of relaxation times underlying the nonexponential relaxation function of Williams and Watts is derived and compared with the analogous Cole-Davidson distribution function, and several useful relations between relaxation and distribution functions are summarized or derived, and the limitations of deriving distribution functions from relaxation functions are discussed.Abstract:
The distribution function of relaxation times underlying the nonexponential relaxation function of Williams and Watts is derived and compared with the analogous Cole–Davidson distribution function. In order to make the comparison between the two distribution functions, a simple empirical relationship between the Cole–Davidson and Williams–Watts parameters was determined which may be used to compare data analyzed using the two fitting functions. Although the relaxation functions are similar to each other, the distribution functions are quite dissimilar. The Cole–Davidson distribution shows a sharp long time cutoff, while the Williams–Watts distribution decays approximately exponentially at long times. Finally, several useful relations between relaxation and distribution functions are summarized or derived, and the limitations of deriving distribution functions from relaxation functions are discussed.read more
Citations
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Journal ArticleDOI
A Brief Survey of β-Detected NMR of Implanted 8Li+ in Organic Polymers
F H McGee,Iain McKenzie,Iain McKenzie,T Buck,Chad Daley,James A. Forrest,Masashi Harada,R. F. Kiefl,R. F. Kiefl,C. D. P. Levy,Gerald D. Morris,M. R. Pearson,Jun Sugiyama,D. Wang,W. A. MacFarlane +14 more
TL;DR: In this article, a brief survey of 8Li+β-NMR in a variety of insulating polymers at high magnetic field, including polyimide, PET, polycarbonate, polystyrene and polyethylene oxide, is presented.
Journal ArticleDOI
The dynamic glass transition of a 'fragile' molecular liquid in the megahertz domain
TL;DR: In this paper, the authors performed measurements of acoustic attenuation and sound velocity at ultrasonic frequencies in a molecular liquid (m-fluoroaniline) across its calorimetric glass transition.
Dissertation
Electrical Excitation of Surface Plasmon Polaritons
TL;DR: In this article, an electrically excitable plasmon source based on an insulator-metal-insulator (IMI) geometry is presented. But the authors do not specify the number of SPPs to be generated.
Dissertation
Dynamics of water and aqueous solutions in geometrical confinement
TL;DR: In this article, the dynamics of water and aqueous mixtures in the regularly structured mesoporous silica MCM-41 over a large temperature range were characterized using 2H NMR methods.
Journal ArticleDOI
Fully Integrated Flexible Dielectric Monitoring Sensor System for Real-Time In Situ Prediction of the Degree of Cure and Glass Transition Temperature of an Epoxy Resin
Yang Yang,Bart Plovie,Gabriele Chiesura,Thomas Vervust,Lode Daelemans,Diana-Elena Mogosanu,Pieter Wuytens,Karen De Clerck,Jan Vanfleteren +8 more
TL;DR: In this article, a fully integrated dielectric monitoring sensor system (DMS) was developed, capable of monitoring in real-time the temperature, the degree of cure, and the glass transition temperature of polymeric composites.
References
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Journal ArticleDOI
Dispersion and Absorption in Dielectrics I. Alternating Current Characteristics
Kenneth S. Cole,Robert H. Cole +1 more
TL;DR: In this paper, the locus of the dielectric constant in the complex plane was defined to be a circular arc with end points on the axis of reals and center below this axis.
Journal ArticleDOI
Non-symmetrical dielectric relaxation behaviour arising from a simple empirical decay function
Graham Williams,David C. Watts +1 more
TL;DR: In this article, the empirical dielectric decay function γ(t)= exp −(t/τ 0)β was transformed analytically to give the frequency dependent complex dielectrics constant if β is chosen to be 0.50 in the range log(ωτ0) > −0.5.
Journal ArticleDOI
Analysis of Structural Relaxation in Glass Using Rate Heating Data
TL;DR: In this paper, a method was developed to determine the kinetic parameters controlling structural relaxation in the glass transition region from data acquired during continuous heating or cooling, where the data were linearized using the method of Narayanaswamy, and the continuous temperature variation during heating and cooling was dealt with by invoking the superposition principle.
Journal ArticleDOI
Further considerations of non symmetrical dielectric relaxation behaviour arising from a simple empirical decay function
TL;DR: The empirical dielectric decay function ϕ(t)= exp −(t/τ0)β, 0 0, but significant corrections may have to be applied for β > 0.5 and log ωτ0 < 0.
Journal ArticleDOI
On the numerical inversion of the Laplace transform and similar Fredholm integral equations of the first kind
J G McWhirter,E R Pike +1 more
TL;DR: In this article, the Laplace transform and other dilationally invariant integral equations of the first kind were derived for the eigenfunctions and eigenvalues, and the maximum possible amount of information was obtained when solving the inverse problem numerically.
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