The dynamic crossover in dielectric relaxation behavior of ice I<sub>h</sub>

Попов, И. И.; Puzenko, Alexander; Khamzin, A. A.; Feldman, Yuri

doi:10.1039/c4cp04271a

Cited by 47 publications

(59 citation statements)

References 36 publications

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“…The Debye relaxation model given in equation is well suited to describe the dielectric behavior of pure water ice up to several hundreds of MHz [ Johari , ], even if below 250 K a Cole‐Cole model [ Cole and Cole , ] is more suitable [ von Hippel et al, ; Popov et al, ]. Such behavior, essentially due to proton hopping polarization, has been extensively studied by several authors, with major contributions from Bjerrum [], Granicher et al [], Jaccard [], Onsager and Dupuis [], Jaccard [], Nagle [], and Bilgram and Gränicher [].…”

Section: An Overview Of Water Ice Dielectric Propertiesmentioning

confidence: 99%

“…However, below about 230 K two effects are visible: a change in the slope of each curve (excluding Auty and Cole []) and a remarkable divergence between the curves. This behavior has been attributed to the presence of impurities [ Gough and Davidson , ; Kawada , ] or to the interchange in the role of the majority and minority carriers [ Bilgram and Gränicher , ; Popov et al, ] and is still a matter of intense debate.…”

Section: An Overview Of Water Ice Dielectric Propertiesmentioning

confidence: 99%

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Dielectric properties of Jovian satellite ice analogs for subsurface radar exploration: A review

Pettinelli

Cosciotti

Paolo

et al. 2015

Reviews of Geophysics

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The first European mission dedicated to the exploration of Jupiter and its icy moons (JUpiter ICy moons Explorer-JUICE) will be launched in 2022 and will reach its final destination in 2030. The main goals of this mission are to understand the internal structure of the icy crusts of three Galilean satellites (Europa, Ganymede, and Callisto) and, ultimately, to detect Europa's subsurface ocean, which is believed to be the closest to the surface among those hypothesized to exist on these moons. JUICE will be equipped with the 9 MHz subsurface-penetrating radar RIME (Radar for Icy Moon Exploration), which is designed to image the ice down to a depth of 9 km. Moreover, a parallel mission to Europa, which will host onboard REASON (Radar for Europa Assessment and Sounding: Ocean to Near-surface) equipped with 9MHz and 60MHz antennas, has been recently approved by NASA. The success of these experiments strongly relies on the accurate prediction of the radar performance and on the optimal processing and interpretation of radar echoes that, in turn, depend on the dielectric properties of the materials composing the icy satellite crusts. In the present review we report a complete range of potential ice types that may occur on these icy satellites to understand how they may affect the results of the proposed missions. First, we discuss the experimental results on pure and doped water ice in the framework of the Jaccard theory, highlighting the critical aspects in terms of a lack of standard laboratory procedures and inconsistency in data interpretation. We then describe the dielectric behavior of extraterrestrial ice analogs like hydrates and icy mixtures, carbon dioxide ice and ammonia ice. Building on this review, we have selected the most suitable data to compute dielectric attenuation, velocity, vertical resolution, and reflection coefficients for such icy moon environments, with the final goal being to estimate the potential capabilities of the radar missions as a function of the frequency and temperature ranges of interest for the subsurface sounders. We present the different subsurface scenarios and associated radar signal attenuation models that have been proposed so far to simulate the structure of the crust of Europa and discuss the physical and geological nature of various dielectric targets potentially detectable with RIME. Finally, we briefly highlight several unresolved issues that should be addressed, in near future, to improve our capability to produce realistic electromagnetic models of icy moon crusts. The present review is of interest for the geophysical exploration of all solar system bodies, including the Earth, where ice can be present at the surface or at relatively shallow depths.

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Section: An Overview Of Water Ice Dielectric Propertiesmentioning

confidence: 99%

Section: An Overview Of Water Ice Dielectric Propertiesmentioning

confidence: 99%

Dielectric properties of Jovian satellite ice analogs for subsurface radar exploration: A review

Pettinelli

Cosciotti

Paolo

et al. 2015

Reviews of Geophysics

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“…Therefore, we attribute relaxation II to the ice Ih phase whereas (the faster) relaxation I may be related with polarization in the disordered liquid-like surface layers of the ice crystallites [35]. The fact that the time scale of relaxation II shows different temperature dependence than those of bulk hexagonal ice has also been observed in other hydrated systems and reflects, actually, the great sensitivity of the dielectric properties of ice crystallites on their defects and on the impurities that are incorporated in their lattice [34,36]. It is interesting that all of the tissues exhibit relaxations I and II with similar characteristics.…”

Section: Discussionmentioning

confidence: 99%

Applying Broadband Dielectric Spectroscopy (BDS) for the Biophysical Characterization of Mammalian Tissues under a Variety of Cellular Stresses

Souli

Klonos

Fragopoulou

et al. 2017

IJMS

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The dielectric properties of biological tissues can contribute non-invasively to a better characterization and understanding of the structural properties and physiology of living organisms. The question we asked, is whether these induced changes are effected by an endogenous or exogenous cellular stress, and can they be detected non-invasively in the form of a dielectric response, e.g., an AC conductivity switch in the broadband frequency spectrum. This study constitutes the first methodological approach for the detection of environmental stress-induced damage in mammalian tissues by the means of broadband dielectric spectroscopy (BDS) at the frequencies of 1–106 Hz. Firstly, we used non-ionizing (NIR) and ionizing radiation (IR) as a typical environmental stress. Specifically, rats were exposed to either digital enhanced cordless telecommunication (DECT) radio frequency electromagnetic radiation or to γ-radiation, respectively. The other type of stress, characterized usually by high genomic instability, was the pathophysiological state of human cancer (lung and prostate). Analyzing the results of isothermal dielectric measurements provided information on the tissues’ water fraction. In most cases, our methodology proved sufficient in detecting structural changes, especially in the case of IR and malignancy. Useful specific dielectric response patterns are detected and correlated with each type of stress. Our results point towards the development of a dielectric-based methodology for better understanding and, in a relatively invasive way, the biological and structural changes effected by radiation and developing lung or prostate cancer often associated with genomic instability.

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“…In the most cases, the dielectric loss spectra in the presence of the excess wing are described by means of expression at n = 2. So, it has a sense to give the complete expression for relaxation function for this case, as well

normalψ (t) = \frac{1}{normalπ} {falsefalse}_{\int}^{0} \frac{e^{- xt}}{x} \frac{{({normalτ}_{1} x)}^{- {normalα}_{1}} \sin normalπ (1 - {normalα}_{1}) + {({normalτ}_{2} x)}^{- {normalα}_{2}} \sin normalπ (1 - {normalα}_{2})}{1 + {({normalτ}_{1} x)}^{- 2 {normalα}_{1}} + {({normalτ}_{2} x)}^{- 2 {normalα}_{2}} + 2 {({normalτ}_{1} x)}^{- {normalα}_{1}} {({normalτ}_{2} x)}^{- {normalα}_{2}} \cos normalπ {normalα}_{2} + 2 {({normalτ}_{1} x)}^{- {normalα}_{1}} \cos normalπ {normalα}_{1} + 2 {({normalτ}_{2} x)}^{- {normalα}_{2}} \cos normalπ ({normalα}_{1} - {normalα}_{2})} dx .

In paper with the help of formula at n = 2, it became possible to describe the spectrum of dielectric losses of the hexagonal ice, where the excess wing phenomenon is provided by two independent relaxation mechanisms. The fitting results showed that for the first relaxation mechanism, α 1 =1 and, for the second one, α 2 =α≈0,92.…”

Section: Further Generalizationsmentioning

confidence: 99%

“…In the most cases, the dielectric loss spectra in the presence of the excess wing are described by means of expression (4) at n D 2. So, it has a sense to give the complete expression for relaxation function for this case, as well §.t/ D 1 In paper [26] with the help of formula (4) at n D 2, it became possible to describe the spectrum of dielectric losses of the hexagonal ice, where the excess wing phenomenon is provided by two independent relaxation mechanisms. The fitting results showed that for the first relaxation mechanism, ' 1 D 1 and, for the second one, ' 2 D ' 0, 92.…”

Section: Further Generalizationsmentioning

confidence: 99%

On the Laplace integral representation of multivariate Mittag‐Leffler functions in anomalous relaxation

Nigmatullin

Khamzin

Băleanu

2016

Math Methods in App Sciences

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In the given paper, a special method of representation of the Mittag‐Leffler functions and their multivariate generalizations in the form of the Laplace integrals is suggested. The method is based on the usage of the generalized multiplication Efros theorem. The possibilities of a new method are demonstrated on derivation of the integral representations for relaxation functions used in the anomalous dielectric relaxation in time domain. Copyright © 2016 John Wiley & Sons, Ltd.

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The dynamic crossover in dielectric relaxation behavior of ice I_h

Cited by 47 publications

References 36 publications

Dielectric properties of Jovian satellite ice analogs for subsurface radar exploration: A review

Dielectric properties of Jovian satellite ice analogs for subsurface radar exploration: A review

Applying Broadband Dielectric Spectroscopy (BDS) for the Biophysical Characterization of Mammalian Tissues under a Variety of Cellular Stresses

On the Laplace integral representation of multivariate Mittag‐Leffler functions in anomalous relaxation

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The dynamic crossover in dielectric relaxation behavior of ice Ih

Cited by 47 publications

References 36 publications

Dielectric properties of Jovian satellite ice analogs for subsurface radar exploration: A review

Dielectric properties of Jovian satellite ice analogs for subsurface radar exploration: A review

Applying Broadband Dielectric Spectroscopy (BDS) for the Biophysical Characterization of Mammalian Tissues under a Variety of Cellular Stresses

On the Laplace integral representation of multivariate Mittag‐Leffler functions in anomalous relaxation

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The dynamic crossover in dielectric relaxation behavior of ice I_h