Abstract
The development of sampling oscilloscopes provided the possibility to measure dielectric relaxation processes in materials directly in the time domain. This allows using relaxation models in time. In complex systems, the use of non-Debye models, such as Kohlrausch-Williams-Watts is common. Simultaneously, the use of frequency domain measurements is becoming very useful, due to the possibility of using highly accurate impedancemeters. To obtain a complete characterization of the dielectric response, a large range of frequencies and temperatures must be used.The different regimes of the dielectric function can be observed and the dynamics of the relaxations can be determined, using modelling with different empirical models, such as Cole-Cole, Cole-Davidson and Havriliak-Negami. In this contribution, different examples of the use of time and frequency domain measurements are presented, showing the capability of both techniques.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsReferences
Jonscher AK (1983) Dielectric relaxation in solids. Chelsea Dielectrics Press, London
Daniel V (1967) Dielectric relaxation. Academic, London
Kremer F, Arndt M (1997) Broadband dielectric measurements techniques. In: Runt JP, Fitzgerald JJ (eds) Dielectric spectroscopy of polymeric materials. American Chemical Society, Washington, DC
McCrum NG, Read BE, Williams G (1991) Anelastic and dielectric effects in polymeric solids. Wiley, New York
Westphal WB, von Hippel AR (1954) Dielectric materials and applications. MIT Press/Wiley, New York
Armstrong D, Race WP, Thirsk HR (1968) Determination of electrode impedance over an extended frequency range by alternating current bridge methods. Electrochem Acta 13:215–239
Costa LC (1995) Propriedades eléctricas de vidros com alguns iões de terras raras. Ph.D. thesis, Aveiro
Calvert R (1948) A new technique in bridge measurements. Electron Eng 20:28–29
Henry F (1961) Développement de la métrologie hyperfréquences et application à l’étude de l’hydratation et la diffusion de l’eaudansles matériaux macromoléculaires. Ph.D. thesis, Paris
Macdonald D (2006) Reflections on the history of electrochemical impedance spectroscopy. Electrochem Acta 51:376–1388
Collin RE (1996) Foundations for microwave engineering. McGraw Hill, New York
McKubre MCH, Macdonald DD (2005) Impedance measurement techniques. In: Runt JP, Fitzgerald JJ (eds) Dielectric spectroscopy of polymeric materials. American Chemical Society, Washington, DC
Belatar J, Graça MPF, Costa LC, Achour ME, Brosseau C (2010) Electric modulus-based analysis of the dielectric relaxation in carbon black loaded polymer composites. J Appl Phys 107:124111
Debye P (1913) Ver Deut Phys Gesell. 15:777, reprinted 1954 in collected papers of P. Debye, Interscience, New York
Kohlrausch R (1854) Theorie des elektrischen Rückstandes in der Leidner Flasche. Ann Phys Chem 91:56–82
Williams G, Watts DC (1970) Non symmetrical dielectric relaxation behaviour arising from a simple empirical decay function. Trans Farad Soc 66:80–85
Weron K (1991) A probabilistic mechanism hidden behind the universal power law for dielectric relaxation: general relaxation equation. J Phys Condens Matter 3:9151–9162
Curie J (1889) Recherches sur le pouvoirinducteurspecifique et la conductibilite des corps cristallises. Ann Chim Phys 17:384–434
von Schweidler ER (1907) Studien über die Anomalien im Verhalten der Dielektrika. Ann Phys 329(14):711–770
Brown WF (1956) Dielectrics, encyclopedia of physics, vol XVII. Springer, Berlin
Cole KS KS, Cole RH RH (1941) Dispersion and sbsorption in dielectrics-I alternating current characteristics. J Chem Phys 9(1941):341–252
Davidson DW, Cole RH (1950) Dielectric relaxation in glycerol. J Chem Phys 18:1417–1419
Havriliak S, Negami S (1967) A complex plane representation of dielectric and mechanical relaxation processes in some polymers. Polymer 8:161–210
Bose TK, Delbos GG, Merabet M (1989) Dielectric properties of microemulsions by time domain spectroscopy. J Phys Chem 93:867–872
Johari JP, Goldstein M (1970) Vicous liquids and the glass transition. II. Secondary relaxations in glasses of rigid molecules. J Chem Phys 58(4):2372–2388
Soreto Teixeira S, Graça MPF, Dionisio M, Ilcíkova M, Mosnacek J, Spitalsky Z, Krupa I, Costa LC (2014) Self-standing elastomeric composites based on lithium ferrites and their dielectric behavior. J Appl Phys 116:224102
Costa LC, Henry F (2003) Dielectric relaxation in lead borate and lead silicate glasses: identification of distinctive regimes of behaviour. Phys Chem Glasses 44(5):353–356
Leon C, Ngai KL (1999) Rapidity of the change of the Kohlrausch exponent of the α relaxation of glass-forming liquids at TB or Tβ and consequences. J Phys Chem B 103:4045–4051
O’Connell PA, McKenna GB (1999) Arrhenius-type temperature dependence of the segmental relaxation below Tg. Chem Phys 110(22):11054–11060
Soreto Teixeira S, Graça MPF, Dionisio M, Ilcíkova M, Mosnacek J, Spitalsky Z, Krupa I, Costa LC (2014) Self-standing elastomeric composites based on lithium ferrites and their dielectricbehavior. J Appl Phys 116:224102
Mendiratta SK, Costa LC (1991) Dielectric relaxation in glasses containing different relaxing species. J Non-Cryst Solids 131–133:990–993
Costa LC, Mendiratta SK (1994) Dielectricbehaviour of Nd ions in the lead borate glass. J Non-Cryst Solids 172–174:1324–1327
Berberian JG, Cole RH (1986) Approach to glassy behavior of dielectric relaxation in 3-bromopentane from 298 to 107 K. J Chem Phys 84(12):6921–6927
Colmenero J (1991) α-relaxation and molecular dynamics in glass-forming polymeric systems. J Non-Cryst Solids 131–133:860–869
Rendell RW, Ngai KL (1984) Relaxation in complex systems. In: Wright GB (ed) Office of naval research. Arlington, VA, Springfield
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2018 Springer Science+Business Media B.V., part of Springer Nature
About this paper
Cite this paper
Costa, L.C. (2018). Time Domain Versus Frequency Domain in the Characterization of Materials. In: Petkov, P., Tsiulyanu, D., Popov, C., Kulisch, W. (eds) Advanced Nanotechnologies for Detection and Defence against CBRN Agents. NATO Science for Peace and Security Series B: Physics and Biophysics. Springer, Dordrecht. https://doi.org/10.1007/978-94-024-1298-7_13
Download citation
DOI: https://doi.org/10.1007/978-94-024-1298-7_13
Published:
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-024-1297-0
Online ISBN: 978-94-024-1298-7
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)