Ionic motion in materials with disordered structures: conductivity spectra and the concept of mismatch and relaxation

Funke, K.; Banhatti, Radha D.; Brückner, S.; Cramer, Cornelia; Krieger, Claus; Mandanici, Andrea; Martiny, C.; Ross, I. M.

doi:10.1039/b200122p

Cited by 123 publications

(186 citation statements)

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“…1 [10,18]. In most ion conducting materials with disordered structures, the scaled ionic conductivity, σ S = σ/σ DC , when measured in the impedance regime at different temperatures, is found to be a unique function of scaled angular frequency, ω S = ω/ω O .…”

Section: Introductionmentioning

confidence: 99%

“…As ionic conduction is facilitated by structural disorder, these materials generally belong to level three. The striking difference between ion conductors [10,18]. Here, σ (0) ≡ σ DC .…”

Section: Introductionmentioning

confidence: 99%

“…On the other hand, level-three materials display conductivity spectra that are not constant, but increase with frequency, often over many decades on the conductivity and frequency scales [8][9][10].…”

Section: Introductionmentioning

confidence: 99%

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First and Second Universalities: Expeditions Towards and Beyond

Funke¹,

Banhatti

Laughman³

et al. 2010

Zeitschrift Für Physikalische Chemie

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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First and Second Universalities: Expeditions Towards and Beyond

Funke¹,

Banhatti

Laughman³

et al. 2010

Zeitschrift Für Physikalische Chemie

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“…As has been documented for many disordered solid electrolytes [11,13,20], experimental data of ionic conductivities due to hopping processes, including their dependence on both frequency and temperature, are generally well reproduced by the MIGRATION concept. This includes in particular the master curve presented in Fig.…”

Section: Separating the Two Universalities From Each Othermentioning

confidence: 57%

“…[13]. [10,11]) is characteristic of many disordered ion conductors which broadly differ in phase, structure and composition. The solid line is obtained from our model, see below .…”

Section: Separating the Two Universalities From Each Othermentioning

confidence: 99%

Toward understanding the second universality—A journey inspired by Arthur Stanley Nowick

et al. 2014

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In 1991, Arthur Stanley Nowick and his co-workers discovered a new universality, now known as nearly constant loss (NCL) or second universality. This mini-review, written in honor of A.S. Nowick, reports on the present authors' more recent endeavors and advances on their way toward understanding the second-universality phenomenon. In pursuit of that goal, new ideas and new data have led us to new questions and new answers. The essence of the new ideas was to consider time-dependent single-particle potentials, caused by Coulomb interactions and experienced by locally mobile ions. The dynamics of such ions were described in terms of a rate equation, and model conductivity spectra showing the NCL effect could be derived from it, with the help of linear response theory. New data corroborated the predictions made by the model. Also, our experimental data suggested a gradual transition, occurring with decreasing temperature, from a slightly activated NCL-type behavior to the non-activated features of the second universality. Two new questions have emerged. (i) Is it possible to quantify the transition mentioned above? (ii) Is there a crossover of the low-temperature, second-universality ionic conductivity from its characteristic linear frequency dependence to a quadratic one at low frequencies? New answers to our two questions can now be given, both of them in the affirmative. In particular, the crossover in the frequency dependence has been identified as an implication of the localization of the non-activated ionic motion.

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Fundamentals, Applications, and Perspectives of Solid‐State Electrochemistry: A Synopsis

Maier

2009

Solid State Electrochemistry I

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The opening chapter of this Handbook highlights the characteristic features of solidstate electrochemistry, including basic phenomena, measurement techniques, and key applications. Materials research strategies that are based on electrochemical insight and the potential of nanostructuring are detailed in particular. Fundamental relationships between the decisive thermodynamic and kinetic parameters governing electrochemical processes are also briefly discussed.

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Ionic motion in materials with disordered structures: conductivity spectra and the concept of mismatch and relaxation

Abstract: Ionic transport in 0.2[XNa 2 OÁ(1ÀX)Rb 2 O]Á0.8B 2 O 3 mixed-alkali glasses A ´rpa ´d W. Imre, Stephan Voss and Helmut Mehrer 3225 Diffusion of calcium and barium in alkali alkaline-earth silicate glasses

Cited by 123 publications

References 59 publications

First and Second Universalities: Expeditions Towards and Beyond

First and Second Universalities: Expeditions Towards and Beyond

Toward understanding the second universality—A journey inspired by Arthur Stanley Nowick

Fundamentals, Applications, and Perspectives of Solid‐State Electrochemistry: A Synopsis

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