Small power-law dependence of ionic conductivity and diffusional dimensionality in β-alumina

O. Kamishima, Y. Iwai, J. Kawamura

    研究成果: Article査読

    8 被引用数 (Scopus)

    抄録

    AC conductivity σ(ω) of single crystals of Ag β-alumina and Na β-alumina has been studied in the temperature range from approximately 100 K to room temperature. The DC regime of σ(ω), which had a close relation to the ion dynamics for the long-range diffusion, was found to have the small power-law dependence σ(ω) ∝ ωn with frequency exponent n = 0.11-0.15, not σ(ω) ∝ ω0 = const. In higher frequencies, the σ(ω) was monotonically increasing with Log-frequency and was put into Jonscher's universal law (σ(ω) ∝ ω0.6). The β-alumina is an ideal two-dimensional super ionic conductor. Its low-dimensionality and the scaling theory for a random walk enable us to understand the small power-law dependence of ionic conductivity. We suggested that a "scale-invariance" would hold true behind the super ionic conduction in the self-similarity point of view.

    本文言語English
    ページ(範囲)89-95
    ページ数7
    ジャーナルSolid State Ionics
    281
    DOI
    出版ステータスPublished - 2015 11月 15

    ASJC Scopus subject areas

    • 化学 (全般)
    • 材料科学(全般)
    • 凝縮系物理学

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