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The Debye temperature of nanocrystalline β–Sn measured by x-ray diffraction

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Abstract

A nanocrystalline β–Sn film of 7 nm average grain size was prepared by inert gas condensation followed by ballistic consolidation, and was investigated by x-ray diffractometry at temperatures of 77 and 293 K. Although Sn normally undergoes a βα phase transformation at 286 K, this transformation was suppressed in the nanocrystalline film. Compared with large-grained β-Sn, a larger Debye–Waller factor and a lower Debye temperature were measured for nanocrystalline β-Sn; ΘD = 133 K for nanocrystalline material while ΘD = 161 K for large-grained material. The lower Debye temperature of the nanocrystalline β-Sn indicates that its vibrational entropy is increased by 0.6 kB/atom with respect to large-grained material.

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Authors and Affiliations

  1. Division of Engineering and Applied Science, California Institute of Technology, 138-78, Pasadena, California, 91125, USA

    L. B. Hong, C. C. Ahn & B. Fultz

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  1. L. B. Hong
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  2. C. C. Ahn
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  3. B. Fultz
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Hong, L.B., Ahn, C.C. & Fultz, B. The Debye temperature of nanocrystalline β–Sn measured by x-ray diffraction. Journal of Materials Research 10, 2408–2410 (1995). https://doi.org/10.1557/JMR.1995.2408

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  • DOI: https://doi.org/10.1557/JMR.1995.2408

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