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Exploring the High Frequencies AC Conductivity Response in Disordered Materials by Using the Damped Harmonic Oscillator. JOURNAL OF COMPOSITES SCIENCE 2022. [DOI: 10.3390/jcs6070200] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 12/04/2022]
Abstract
The AC conductivity response of disordered materials follows a universal power law of the form σ′(ω)∝ωn at the low frequency regime, with the power exponent values in the range 0 < n < 1. At the high frequency regime, in many experimental data of different disordered materials, superlinear values of the power exponent n were observed. The observed superlinear values of the power exponent are usually within 1<n<2, but in some cases values n>2 were detected. The present work is based on the definitions of electromagnetic theory as well as the Havriliak–Negami equation and the damped harmonic oscillator equation, which are widely used for the description of dielectric relaxation mechanisms and vibration modes in the THz frequency region, respectively. This work focuses mainly on investigating the parameters that affect the power exponent and the range of possible n values.
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El-Falaky G, Gaafar M, El-Aal NA. Ultrasonic relaxation in Zinc–Borate glasses. CURRENT APPLIED PHYSICS 2012; 12:589-596. [DOI: 10.1016/j.cap.2011.09.009] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 09/01/2023]
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Kanert O, Kloke M, Küchler R, Rückstein S, Jain H. Nuclear Spin Relaxation. Nuclear Spin Relaxation and Electrical Conductivity in Lithium Germanate Glasses. ACTA ACUST UNITED AC 2010. [DOI: 10.1002/bbpc.19910950922] [Citation(s) in RCA: 22] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/09/2022]
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Grüne M, Müller-Warmuth W. Considerations and Examples for a Uniform Behaviour of Spin-Lattice Relaxation in Glasses. ACTA ACUST UNITED AC 2010. [DOI: 10.1002/bbpc.19910950923] [Citation(s) in RCA: 12] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/06/2022]
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Zielniok D, Eckert H, Cramer C. Direct correlation between nonrandom ion hopping and network structure in ion-conducting borophosphate glasses. PHYSICAL REVIEW LETTERS 2008; 100:035901. [PMID: 18233003 DOI: 10.1103/physrevlett.100.035901] [Citation(s) in RCA: 22] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/25/2007] [Revised: 07/06/2007] [Indexed: 05/25/2023]
Abstract
We present temperature-dependent conductivity spectra of sodium borophosphate glasses with a varying borate/phosphate ratio but a constant sodium oxide content which can be mapped into time-dependent mean square displacements. For the first time, we show that characteristic lengths of ion transport derived thereof are directly linked to features of network structure, viz., the number of boron oxide tetrahedra. Our results also shed light on the mixed network former effect.
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Affiliation(s)
- D Zielniok
- Fachbereich Chemie der Philipps-Universität Marburg, Hans-Meerwein-Strasse, 35043 Marburg, Germany
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Rim YH, Lee BS, Choi HW, Cho JH, Yang YS. Electrical Relaxation of Bismuth Germanate Silicate Glasses. J Phys Chem B 2006; 110:8094-9. [PMID: 16610911 DOI: 10.1021/jp060415s] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Abstract
The frequency-dependent electrical data of the bismuth germanate silicate (BGSO) glasses have been discussed in the framework of the electric modulus representation and the power-law conductivity. The activation energies of the mean electric relaxation time and the direct current (dc) conductivity obtained by the complex modulus analysis show that the BGSO glasses satisfy the Barton, Nakajima, and Namikawa (BNN) relation. The proper relation between the exponent of the power-law conductivity and the stretched exponential of the modulus representation is shown. The temperature- and frequency-dependent characteristics of non-Debye behavior are discussed. The scaling properties of both the modulus M*(omega) and the alternating current (ac) conductivity sigma(omega) are examined.
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Affiliation(s)
- Y H Rim
- School of Liberal Arts, Semyung University, Chechon, Chungbuk 390-711, Korea
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Yang YS, Cho JH, Kim SJ, Kim JE, Choi HW, Rim YH. Ionic Conductivity Properties in Bismuth Germanate Silicate Glasses at Various Temperatures. J Phys Chem B 2004. [DOI: 10.1021/jp040219q] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Y. S. Yang
- School of Nano Science and Technology, RCDAMP, Department of Physics, Pusan National University, Pusan 609-735, South Korea, and School of Liberal Arts, Semyung University, Chechon, Chungbuk 390-711, South Korea
| | - J. H. Cho
- School of Nano Science and Technology, RCDAMP, Department of Physics, Pusan National University, Pusan 609-735, South Korea, and School of Liberal Arts, Semyung University, Chechon, Chungbuk 390-711, South Korea
| | - S. J. Kim
- School of Nano Science and Technology, RCDAMP, Department of Physics, Pusan National University, Pusan 609-735, South Korea, and School of Liberal Arts, Semyung University, Chechon, Chungbuk 390-711, South Korea
| | - J. E. Kim
- School of Nano Science and Technology, RCDAMP, Department of Physics, Pusan National University, Pusan 609-735, South Korea, and School of Liberal Arts, Semyung University, Chechon, Chungbuk 390-711, South Korea
| | - H. W. Choi
- School of Nano Science and Technology, RCDAMP, Department of Physics, Pusan National University, Pusan 609-735, South Korea, and School of Liberal Arts, Semyung University, Chechon, Chungbuk 390-711, South Korea
| | - Young-Hoon Rim
- School of Nano Science and Technology, RCDAMP, Department of Physics, Pusan National University, Pusan 609-735, South Korea, and School of Liberal Arts, Semyung University, Chechon, Chungbuk 390-711, South Korea
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Tatsumisago M, Angell CA, Martin SW. A new problem in the correlation of nuclear‐spin relaxation and ionic conductivity in superionic glasses. J Chem Phys 1992. [DOI: 10.1063/1.463658] [Citation(s) in RCA: 79] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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