کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1484938 | 1510532 | 2007 | 14 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Experimental confirmation of oscillating properties of the complex conductivity: Dielectric study of polymerization/vitrification reaction
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
مهندسی مواد
سرامیک و کامپوزیت
پیش نمایش صفحه اول مقاله

چکیده انگلیسی
Clear evidence of the existence of fractional kinetics containing the complex power-law exponents were obtained by conductivity measurements of polymerization reaction of polyvinylpyrrolidone (PVP) performed inside a dielectric cell. We established the relationship between the Fourier image R(jÏ) of the complex memory function K(t) and the time-dependent mean square displacement ãr2(t)ã. This relationship helps to understand the origin of the different power-law exponents appearing in the real part of complex conductivity Re[Ï(Ï)] and find a physical/geometrical meaning of the power-law exponents that can form the complex-conjugated values. The complex-conjugated values of the power-law exponents leading to oscillating behavior of conductivity follows from the fractional kinetics suggested by one of the authors (R.R.N.). The relationships [R(jÏ)âRe[Ï(Ï)]âãr2(t)ã] are becoming very efficient in classification of different types of collective motions belonging to light and heavy carriers involved in the relaxation/transfer process. The conductivity data obtained for Re[Ï(Ï)] during the whole polymerization process of the PVP at different temperatures (80, 90, 100 °C) are very well described by the fitting function that follows from the suggested theory. Original fitting procedure based on the application of the eigen-coordinates (ECs) method helps to provide a reliable fitting procedure in two stages and use the well-developed and statistically stable linear least square method (LLSM) for obtaining the correct values of the fitting parameters that describe the behavior of Re[Ï(Ï, Tr)] in the available frequency range for the current time of the chemical reaction Tr measured during the whole process of polymerization. The suggested theory gives a unique possibility to classify the basic types of motions that take place during the whole polymerization process.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Non-Crystalline Solids - Volume 353, Issues 44â46, 15 November 2007, Pages 4143-4156
Journal: Journal of Non-Crystalline Solids - Volume 353, Issues 44â46, 15 November 2007, Pages 4143-4156
نویسندگان
R.R. Nigmatullin, A.A. Arbuzov, F. Salehli, A. Giz, H. Catalgil-Giz,