Low-frequency lattice vibrations from atomic displacement parameters of α-FOX-7, a high energy density material.

IF 0.9 4区 数学 Q3 STATISTICS & PROBABILITY Advances in Applied Probability Pub Date : 2022-06-01 Epub Date: 2022-05-11 DOI:10.1107/S2052520622002700
Thammarat Aree, Charles J McMonagle, Adam A L Michalchuk, Dmitry Chernyshov
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Abstract

Highly anharmonic thermal vibrations may serve as a source of structural instabilities resulting in phase transitions, chemical reactions and even the mechanical disintegration of a material. Ab initio calculations model thermal motion within a harmonic or sometimes quasi-harmonic approximation and must be complimented by experimental data on temperature-dependent vibrational frequencies. Here multi-temperature atomic displacement parameters (ADPs), derived from a single-crystal synchrotron diffraction experiment, are used to characterize low-frequency lattice vibrations in the α-FOX-7 layered structure. It is shown that despite the limited quality of the data, the extracted frequencies are reasonably close to those derived from inelastic scattering, Raman measurements and density functional theory (DFT) calculations. Vibrational anharmonicity is parameterized by the Grüneisen parameters, which are found to be very different for in-layer and out-of-layer vibrations.

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从高能量密度材料 α-FOX-7 的原子位移参数得出低频晶格振动。
高非谐波热振动可能是导致相变、化学反应甚至材料机械解体的结构不稳定源。Ab initio 计算是在谐波或有时是准谐波近似范围内建立热运动模型的,必须辅以有关随温度变化的振动频率的实验数据。本文利用单晶同步辐射衍射实验得出的多温度原子位移参数(ADP)来描述 α-FOX-7 层状结构中的低频晶格振动。结果表明,尽管数据质量有限,但提取的频率与非弹性散射、拉曼测量和密度泛函理论(DFT)计算得出的频率相当接近。振动非谐波性是通过格吕尼森参数进行参数化的,发现层内振动和层外振动的格吕尼森参数非常不同。
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来源期刊
Advances in Applied Probability
Advances in Applied Probability 数学-统计学与概率论
CiteScore
2.00
自引率
0.00%
发文量
64
审稿时长
6-12 weeks
期刊介绍: The Advances in Applied Probability has been published by the Applied Probability Trust for over four decades, and is a companion publication to the Journal of Applied Probability. It contains mathematical and scientific papers of interest to applied probabilists, with emphasis on applications in a broad spectrum of disciplines, including the biosciences, operations research, telecommunications, computer science, engineering, epidemiology, financial mathematics, the physical and social sciences, and any field where stochastic modeling is used. A submission to Applied Probability represents a submission that may, at the Editor-in-Chief’s discretion, appear in either the Journal of Applied Probability or the Advances in Applied Probability. Typically, shorter papers appear in the Journal, with longer contributions appearing in the Advances.
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