The relation of the Grüneisen parameter to the fractal dimension

Chien Chih Chen; Jeen Hwa Wang

doi:10.1016/S0921-4526(00)00579-2

The relation of the Grüneisen parameter to the fractal dimension

Chien Chih Chen, Jeen Hwa Wang

地球科學學系

研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

5 引文斯高帕斯（Scopus）

摘要

Based on both the definition and experimental data, we propose that the inverse of the Grüneisen parameter γ is directly related to the fractal dimension. Scaling behavior of vibrational frequency versus volume extends over large distances via constructing the relation of the Grüneisen parameter to the interatomic force constant for some alkali halides with an NaCl structure. In particular, these alkali halides should possess a universal class with γ = 1.245.

原文	???core.languages.en_GB???
頁（從 - 到）	194-197
頁數	4
期刊	Physica B: Condensed Matter
卷	299
發行號	1-2
DOIs	https://doi.org/10.1016/S0921-4526(00)00579-2
出版狀態	已出版 - 5月 2001

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10.1016/S0921-4526(00)00579-2

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abstract = "Based on both the definition and experimental data, we propose that the inverse of the Gr{\"u}neisen parameter γ is directly related to the fractal dimension. Scaling behavior of vibrational frequency versus volume extends over large distances via constructing the relation of the Gr{\"u}neisen parameter to the interatomic force constant for some alkali halides with an NaCl structure. In particular, these alkali halides should possess a universal class with γ = 1.245.",

keywords = "Equation of state, Fractal dimension, Gr{\"u}neisen parameter",

author = "Chen, {Chien Chih} and Wang, {Jeen Hwa}",

note = "Funding Information: This work was completed when the first author was a post-doctor supported by a research Grant NSC 89-2811-M-001-0016 from the National Sciences Council, ROC.",

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AU - Chen, Chien Chih

AU - Wang, Jeen Hwa

N1 - Funding Information: This work was completed when the first author was a post-doctor supported by a research Grant NSC 89-2811-M-001-0016 from the National Sciences Council, ROC.

PY - 2001/5

Y1 - 2001/5

N2 - Based on both the definition and experimental data, we propose that the inverse of the Grüneisen parameter γ is directly related to the fractal dimension. Scaling behavior of vibrational frequency versus volume extends over large distances via constructing the relation of the Grüneisen parameter to the interatomic force constant for some alkali halides with an NaCl structure. In particular, these alkali halides should possess a universal class with γ = 1.245.

AB - Based on both the definition and experimental data, we propose that the inverse of the Grüneisen parameter γ is directly related to the fractal dimension. Scaling behavior of vibrational frequency versus volume extends over large distances via constructing the relation of the Grüneisen parameter to the interatomic force constant for some alkali halides with an NaCl structure. In particular, these alkali halides should possess a universal class with γ = 1.245.

KW - Equation of state

KW - Fractal dimension

KW - Grüneisen parameter

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VL - 299

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EP - 197

JO - Physica B: Condensed Matter

JF - Physica B: Condensed Matter

IS - 1-2

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The relation of the Grüneisen parameter to the fractal dimension

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