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
Effect of Thermal Annealing in Ammonia on the Properties of InGaN Nanowires with Different Indium Concentrations
Christopher Hahn,Amy A. Cordones,Sean C. Andrews,Hanwei Gao,Anthony Fu,Stephen R. Leone,Stephen R. Leone,Peidong Yang +7 more
TL;DR: In this article, the authors investigated the utility of an annealing procedure in ammonia ambient for improving the optical characteristics of InxGa1-xN nanowires (0.07 ≤ x ≤ 0.42), as measured by energy-dispersive X-ray spectroscopy and Z-contrast scanning transmission electron microscopy.
Journal ArticleDOI
Dielectric relaxation of 3-bromopentane in mixtures with 3-methylpentane
TL;DR: In this article, a log plot of best-fit Kohlrausch-Williams-Watts (KWWτ) relaxation times against reciprocal temperature appears to be linear for the temperature range of the measurements (all mole fractions) unlike the Vogel-Tammann-Fulcher behavior of pure 3BP.
Journal ArticleDOI
Correlating the stretched-exponential and super-Arrhenius behaviors in the structural relaxation of glass-forming liquids
TL;DR: Comparisons between the calculated and measured non-exponentialities for typical glass-forming liquids, from fragile to intermediate, convincingly support the present analysis and the origin of the non-Exponentiality and its correlation with liquid fragility become clearer.
Journal ArticleDOI
Dynamics of Molecular Crystals by Means of (1) H NMR Relaxometry: Dynamical Heterogeneity versus Homogenous Motion.
Danuta Kruk,Małgorzata Florek-Wojciechowska,Ryszard Jakubas,Sujeet K. Chaurasia,Szczepan Brym +4 more
TL;DR: H NMR relaxometry was used to reveal information on the dynamical properties of the molecular crystal ( PyH)5 Bi2 Br11 (PyH=C5 H6 N, pyridinium cation), chosen as an example of a solid that exhibits a complex structure and rotational-like dynamics.
Journal ArticleDOI
P-129: Comprehensive Analysis of Luminous Decay Curves for Accelerated Lifetime Testing of OLEDs
TL;DR: In this paper, the authors analyzed luminous degradation curves with the stretched-exponential decay function to develop a lifetime prediction method, which succeeded in evaluating the lifetimes of several OLEDs on the basis of limited data sets obtained in a short test time.
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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