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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Dissertation
Synthesis and Characterization of Luminescent Nanostructured SiOC Thin Films
TL;DR: In this paper, a new approach to obtain visible luminescence from sol-gel derived SiOC films is proposed, which is based on a simple processing route to produce nanostructured multicomponent ceramics.
Journal ArticleDOI
Investigation of ionic and anomalous magnetic behavior in CrSe2 using 8Li β-NMR
John O. Ticknor,Izumi Umegaki,Ryan M. L. McFadden,Aris Chatzichristos,Derek Fujimoto,Victoria L. Karner,Robert F. Kiefl,Robert F. Kiefl,Shintaro Kobayashi,C. D. Phillip Levy,Ruohong Li,Gerald D. Morris,Matthew Pearson,Kazuyoshi Yoshimura,Jun Sugiyama,W. Andrew MacFarlane,W. Andrew MacFarlane +16 more
TL;DR: In this paper, the authors studied a mosaic of 1T-CrSe2 single crystals using β-detected nuclear magnetic resonance of 8Li from 4 to 300 K and identified two broad resonances that show no evidence of quadrupolar splitting, indicating two magnetically distinct environments for the implanted ion.
Journal ArticleDOI
Temperature-Dependent Photophysical Properties of a Liquid-Crystalline Random Copolyester
TL;DR: In this article, the temperature-dependent time-resolved fluorescence of Vectra A910, a commercially produced main-chain liquid-crystalline copolyester composed of 4-hydroxybenzoic acid (HBA) and 6hydroxy-2-naphthoic acid(HNA), was investigated.
Journal ArticleDOI
Energy diagram and parameters regarding localized states in InGaN/GaN nanocolumns
Naoki Shimosako,Kazuya Kinjo,Y. Inose,Toshihiro Nakaoka,Takao Oto,Katsumi Kishino,Kazuhiro Ema +6 more
TL;DR: In this article, the authors evaluated the localized states in green-emitting indium gallium nitride (InGaN) by considering the energy diagrams derived by five different methods: (1) the exponential tail of the low-energy side of photoluminescence (PL) spectra, (2) the photon energy dependence of PL decay time, (3) excitation energy depend of the PL peak energy, (4) the PL excitation spectrum, and (5) the temperature dependence ofPL peak energy.
Journal ArticleDOI
Dynamic light scattering in solid polymers
TL;DR: The viscosity of an amorphous polymeric solid above its glass transition [T g (T,P)] increases as the temperature of the solid is decreased or the pressure is increased as mentioned in this paper.
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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