Ion Transport in Glass-Forming Calcium Potassium Nitrate: From Complex Behaviours to Unexpected Simplicities

K. Funke, R. D. Banhatti, M. Ingram
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Abstract

Re-examination of published conductivity spectra for 2Ca (NO3)2∙3KNO3 (CKN) in its molten and glassy states, in terms of the MIGRATION concept, has brought to light new links between elementary processes occurring within one picosecond and their successful outcomes, i.e. those which determine the DC conductivities. The starting point of this analysis is the transition at 378 K, which arises from a change from a decoupled to a coupled transport mechanism. Remarkably, while there is a change in the shape of the conductivity dispersion and a jump in its onset frequency, there is no change in the temperature dependence of DC conductivity. What emerges from the analysis is a surprising continuity in high-frequency behaviour, with the activation energy and volume for elementary displacements, Eed and Ved, remaining constant from 300 K in the glass up to 500 K in the melt. The ratio, Eed/Ved, turns out to be equal to our previously defined DC activation moduli for CKN, given by EDC(T)/VDC(T) and Tg/(dTg/dp) for charge transport in the melt and structural relaxation at Tg, respectively. It seems that, at very short times, molten CKN behaves just like an elastic solid. The importance of elastic forces for ionic transport in CKN is corroborated by the finding that the published value of the high-frequency shear modulus of glassy CKN, G¥, matches those of Eed/Ved and hence of both activation moduli. The detected continuity in the picosecond behaviour of CKN across the glass transition could provide a new link between fragile liquids and glassy materials in general.
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形成玻璃的硝酸钙钾中的离子传输:从复杂的行为到意想不到的简单性
根据迁移概念,重新检查已发表的2Ca (NO3)2∙3KNO3 (CKN)熔融和玻璃态的电导率谱,揭示了在一皮秒内发生的基本过程与其成功结果(即决定直流电导率的过程)之间的新联系。本分析的起点是在378 K时的跃迁,这是由从解耦到耦合输运机制的变化引起的。值得注意的是,虽然电导率色散的形状发生了变化,其开始频率也有所上升,但直流电导率的温度依赖性没有变化。从分析中得出的结果是高频行为的惊人连续性,基本位移的活化能和体积,Eed和Ved,从玻璃中的300k到熔体中的500k保持不变。该比值ed/Ved等于我们之前定义的CKN的直流激活模量,分别由熔体中的电荷输运和Tg处的结构弛豫的EDC(T)/VDC(T)和Tg/(dTg/dp)给出。似乎在很短的时间内,熔融的CKN就像弹性固体一样。弹性力对CKN中离子传输的重要性得到了证实,这一发现表明,公布的玻璃态CKN的高频剪切模量g¥与Eed/Ved的高频剪切模量相匹配,因此两者的激活模量也相匹配。在整个玻璃化转变中检测到的CKN皮秒行为的连续性可以在易碎液体和玻璃材料之间提供新的联系。
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