Thermal conductivity in modified oxide glasses is governed by modal phase changes

Philip Rasmussen, Søren Strandskov Sørensen
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Abstract

The thermal conductivity of glasses is well-known to be significantly harder to theoretically describe compared to crystalline materials. Because of this fact, the fundamental understanding of thermal conductivity in glasses remain extremely poor when moving beyond the case of simple glasses, e.g., glassy SiO$_2$, and into so-called 'modified' oxide glasses, that is, glasses where other oxides (e.g. alkali oxides) have been added to break up the network and alter e.g. elastic and thermal properties. This lack of knowledge is apparent despite how modified glasses comprise the far majority of known glasses. In the present work we study an archetypical series of sodium silicate ($x\text{Na}_2\text{O}\text{-}(100\text{-}x)\text{SiO}_2$) glasses. Analyses of modal contributions reveal how increasing Na$_2$O content induces increasing vibrational localization with a change of vibrations to be less ordered, and a related general decrease in modal contributions to thermal conductivity. We find the vibrational phases (acoustic vs. optical) of sodium vibrations to be relatively disordered compared to the network-forming silicon and oxygen species, explaining how increasing Na$_2$O content decreases thermal conductivity. Our work sheds new light on the fundamentals of glassy heat transfer as well as the interplay between thermal conduction and modal characteristics in glasses.
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改性氧化物玻璃的导热性受模态相变影响
众所周知,与晶体材料相比,玻璃的导热性更难从理论上描述。正因为如此,人们对玻璃导热性的基本认识仍然非常薄弱,不仅局限于简单的玻璃(如玻璃硅氧烷),而且还局限于所谓的 "改性 "氧化物玻璃,即添加了其他氧化物(如碱氧化物)以破坏网络并改变弹性和热特性等的玻璃。尽管改性玻璃在已知玻璃中占绝大多数,但这种知识的缺乏是显而易见的。在本文中,我们研究了一系列典型的硅酸钠(x\text{Na}_2\text{O}\text{-}(100\text{-}x)\text{SiO}_2$)玻璃。对模态贡献的分析表明,Na$_2$O 含量的增加会导致振动局部化程度增加,振动的有序性降低,同时模态对热导率的贡献也会相应地普遍降低。我们发现钠振动的振动相(声学相与光学相)与形成网络的硅和氧相比相对无序,这就解释了为什么 Na$_2$O 含量的增加会降低热导率。我们的研究为玻璃传热的基本原理以及玻璃中热传导与模态特性之间的相互作用提供了新的启示。
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