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
Solid state dynamics of proteins by nuclear magnetic relaxation
TL;DR: Proton spin-lattice relaxation has been investigated at three frequencies in two polycrystalline proteins, lysozyme and α-chymotrypsin, between 10 and 300 K as discussed by the authors.
Journal ArticleDOI
Structural relaxation mechanisms in liquid Eugenol. A depolarized light scattering study
TL;DR: In this paper, a depolarized light scattering study of liquid Eugenol, over a large temperature range including the supercooled region, is proposed, where the structural relaxation process measurements by means of the photon correlation technique are compared to the dielectric and mechanical measurements.
Journal ArticleDOI
Sensitization of TiO2 by the MLCT Excited State of CoI Coordination Compounds
TL;DR: In this paper, a cobalt metalloporphyrin sensitizer was employed for sensitization of wideband-gap semiconductor nanoparticles, especially those whose conduction band edges are generally closer to the vacuum level.
Journal ArticleDOI
Long time stress relaxation of amorphous networks under uniaxial tension : The Dynamic Constrained Junction Model
TL;DR: In this article, the constrained junction model that represents the stressestrain relations of amorphous networks in equilibrium is modified to analyze stress relaxation, where deviation of stress from equilibrium when a network is stretched suddenly is represented by a time dependent constraint contribution that is of the same form as that of the equilibrium theory.
Journal ArticleDOI
Relaxation modes in glass forming meta-toluidine.
TL;DR: The dynamics in supercooled meta-toluidine was studied using dielectric relaxation, modulated differential scanning calorimetry, proton spin-lattice relaxation times, and viscosity measurements to show a large decoupling of the relaxation modes whose origin is attributed to the formation of clusters via the NH2 bonding.
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.
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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
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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
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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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