Abstract
Extensive information has now been accumulated on dielectric relaxation processes and their relationships to the structure of complex polar molecules. At the same time, however, the number of experimental methods for rapid determination of the range of relaxation times is fairly small. The purpose of this work is to determine the possibilities for experimental evaluation of the type of distribution function of the dielectric relaxation times and to work out an algorithm for computing it under the conditions of an automated experiment.
Similar content being viewed by others
Literature cited
B. I. Sazhin (ed.), Electrical Properties of Polymers [in Russian], Khimiya, Moscow (1977).
A. N. Tikhonov and V. Ya. Arsenin, Methods of Solution of III-Posed Problems [in Russian], Nauka, Moscow (1986).
A. F. Berlan' and V. S. Sizikov, Integral Equations: Methods, Algorithms, Programs [in Russian], Naukova Dumka, Kiev (1986).
A. V. Goncharskii, A. M. Cherepashchuk, and A. G. Yagola, III-Posed Problems in Astrophysics [in Russian], Nauka, Moscow (1986).
V. N. Vapnik (ed.), Algorithms and Programs for Reconstruction of Relations [in Russian], Nauka, Moscow (1984).
S. M. Usmanov, A. A. Berlin, V. V. Kochervinskii, et al., Dokl. Akad. Nauk SSR, Ser. Fiz. Khim.,230, No. 6, 1391–1394 (1976).
S. M. Usmanov, Yu. M. Sivergin, and Yu. V. Zelenev, Zh. Fiz. Khim.,59, No. 3, 717–721 (1985).
S. M. Usmanov, R. G. Islamov, and Yu. M. Sivergin, All-Union Conference on the Physics of Dielectrics: Abstracts [in Russian], Tomsk Pedagogical Institute, Tomsk (1988), pp. 144–145.
S. M. Usmanov, Birsk Pedagogical Institute, Birsk (1989), Deposited at VINITI [All-Union Institute for Scientific and Technical Information of the USSR State Committee for Science and Technology of the Council of Ministers of the USSR and the Academy of Sciences of the USSR] on June 17, 1989, No. 4732-V89.
Author information
Authors and Affiliations
Additional information
Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 10, pp. 102–108, October, 1991.
Rights and permissions
About this article
Cite this article
Usmanov, S.M. Use of the tikhonov regularization method in automated mathematical analysis of dielectric spectrometry data. Soviet Physics Journal 34, 931–936 (1991). https://doi.org/10.1007/BF00898595
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00898595