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Anisotropic Thermal Expansion of Pyrolytic Graphite at Low Temperatures

 

作者: A. C. Bailey,   B. Yates,  

 

期刊: Journal of Applied Physics  (AIP Available online 1970)
卷期: Volume 41, issue 13  

页码: 5088-5091

 

ISSN:0021-8979

 

年代: 1970

 

DOI:10.1063/1.1658609

 

出版商: AIP

 

数据来源: AIP

 

摘要:

Interferometric measurements of the linear thermal‐expansion coefficients &agr;∥ and &agr;⊥ in the ``c'' and ``a'' axial directions of well‐oriented pyrolytic graphite between approximately 20° and 270°K are reported. Gru¨neisen parameters &ggr;∥ and&ggr;⊥, defined for strain coordinates parallel and perpendicular to the ``c'' axis, respectively, have been calculated from the present thermal expansion coefficients and related data. Between 30° and 270°K &ggr;∥ is positive, indicating the preponderance of longitudinal modes of vibration, while&ggr;⊥is negative, indicating the predominance of transverse modes. The quasiharmonic approximation has been applied to calculate the characteristic temperatures &thgr;(n) corresponding to the maximum frequencies &ohgr;D(n) of the Debye distributions having the samenth moments⟨&ohgr;n⟩as the specimens, which vary between approximately 420° and 2270°K asnincreases from −3 to +6. The dimensional dependence of the moments, defined by &ggr;(n) =&Sgr;&ggr;j&ohgr;jn/&Sgr;&ohgr;jncorresponding to &ggr;∥(n) and&ggr;⊥(n), and their variations withn, are consistent with the existence of low‐frequency modes of vibration between planes of atoms perpendicular to the ``c'' axis, and high‐frequency modes within the planes, a result supported by calculations of the rms displacements of the atoms.

 

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