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对Li4C60和Na4C60的量热测量。

Calorimetric measurements on Li4C60 and Na4C60.

作者信息

Inaba Akira, Miyazaki Yuji, Michałowski Paweł P, Gracia-Espino Eduardo, Sundqvist Bertil, Wågberg Thomas

机构信息

Research Center for Structural Thermodynamics, Graduate School of Science, Osaka University, Toyonaka, Osaka 560-0043, Japan.

Department of Physics, Umeå University, S-90187 Umeå, Sweden.

出版信息

J Chem Phys. 2015 Apr 28;142(16):164706. doi: 10.1063/1.4918735.

Abstract

We show specific heat data for Na4C60 and Li4C60 in the range 0.4-350 K for samples characterized by Raman spectroscopy and X-ray diffraction. At high temperatures, the two different polymer structures have very similar specific heats both in absolute values and in general trend. The specific heat data are compared with data for undoped polymeric and pristine C60. At high temperatures, a difference in specific heat between the intercalated and undoped C60 polymers of 100 J K(-1) mol(-1) is observed, in agreement with the Dulong-Petit law. At low temperatures, the specific heat data for Li4C60 and Na4C60 are modified by the stiffening of vibrational and librational molecular motion induced by the polymer bonds. The covalent twin bonds in Li4C60 affect these motions to a somewhat higher degree than the single intermolecular bonds in Na4C60. Below 1 K, the specific heats of both materials become linear in temperature, as expected from the effective dimensionality of the structure. The contribution to the total specific heat from the inserted metal ions can be well described by Einstein functions with TE = 386 K for Li4C60 and TE = 120 K for Na4C60, but for both materials we also observe a Schottky-type contribution corresponding to a first approximation to a two-level system with ΔE = 9.3 meV for Li4C60 and 3.1 meV for Na4C60, probably associated with jumps between closely spaced energy levels inside "octahedral-type" ionic sites. Static magnetic fields up to 9 T had very small effects on the specific heat below 10 K.

摘要

我们展示了通过拉曼光谱和X射线衍射表征的样品在0.4 - 350 K范围内Na4C60和Li4C60的比热数据。在高温下,两种不同的聚合物结构在绝对值和总体趋势上都具有非常相似的比热。将比热数据与未掺杂聚合物和原始C60的数据进行了比较。在高温下,观察到插层和未掺杂C60聚合物之间的比热差异为100 J K⁻¹ mol⁻¹,这与杜隆 - 珀蒂定律一致。在低温下,Li4C60和Na4C60的比热数据因聚合物键引起的振动和平动分子运动的硬化而发生改变。Li4C60中的共价双键对这些运动的影响程度略高于Na4C60中的单分子间键。在1 K以下,两种材料的比热都随温度呈线性变化,这与结构的有效维度预期相符。插入的金属离子对总比热的贡献可以用爱因斯坦函数很好地描述,对于Li4C60,TE = 386 K,对于Na4C60,TE = 120 K,但对于这两种材料,我们还观察到肖特基型贡献,对应于对双能级系统的一阶近似,对于Li4C60,ΔE = 9.3 meV,对于Na4C60,ΔE = 3.1 meV,这可能与“八面体型”离子位点内紧密间隔的能级之间的跃迁有关。高达9 T的静磁场对10 K以下的比热影响非常小。

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