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Materials 2018, 11(10), 1948;

Statistical Mechanics Treatment of the Broadened Snoek Relaxation Peak in Ternary Niobium–Vanadium–Oxygen Alloys

State Key Lab of Hydraulic Engineering Simulation and Safety, Tianjin Key Lab of Composite and Functional Materials, Tianjin University, Tianjin 300072, China
Institute of Plasma Physics, Chinese Academy of Sciences, Hefei 230031, China
Authors to whom correspondence should be addressed.
Received: 17 September 2018 / Revised: 4 October 2018 / Accepted: 8 October 2018 / Published: 11 October 2018
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The Snoek relaxation profiles for ternary Niobium–Vanadium–Oxygen systems were analyzed by an embedded-cell model of statistical mechanics treatment. The relaxation characteristic and broadening mechanism were systematically discussed and some conflicting interpretations in the early research were clarified. The complicated Snoek spectrums of the Nb–V–O system can be resolved into a series of effective elementary Debye peaks, which result from the transitions of interstitial oxygen atoms between adjacent octahedral sites. The relaxation parameters of each elementary peak can be determined by element species and atomic arrangements within the corresponding embedded octahedron. The Snoek relaxation characteristic in Nb–V–O systems mainly depends on the sites distributions and the transitions status of the interstitial oxygen atoms, which are controlled by the site-dependence energies and the transition probabilities, respectively. View Full-Text
Keywords: statistical mechanics; relaxation; ternary bcc system statistical mechanics; relaxation; ternary bcc system

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Ren, J.; Yu, L.; Liu, Y.; Li, H.; Ma, Z.; Wu, J. Statistical Mechanics Treatment of the Broadened Snoek Relaxation Peak in Ternary Niobium–Vanadium–Oxygen Alloys. Materials 2018, 11, 1948.

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