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- W2076176391 abstract "The experimental phonon-dispersion curves of aluminum at 80ifmmode^circelsetextdegreefi{}K and at 300ifmmode^circelsetextdegreefi{}K have been analyzed in terms of axially symmetric Born-von K'arm'an force-constant models, including 8 nearest neighbors. The resulting models have been used to compute a frequency distribution function $g(ensuremath{omega})$ at each temperature from which various thermodynamic properties have been derived. The specific-heat curve predicted by the $g(ensuremath{omega})$ appropriate to 80ifmmode^circelsetextdegreefi{}K fits excellently the experimental results in the temperature range 20 to 80ifmmode^circelsetextdegreefi{}K. At higher temperatures the experimental results deviate from this calculated curve and approach the curve appropriate to $g(ensuremath{omega})$ at 300ifmmode^circelsetextdegreefi{}K. Similar behavior is found for the experimental Debye-Waller coefficient in the range above 100ifmmode^circelsetextdegreefi{}K. It is concluded that inelastic-neutron-scattering data and thermodynamic data are compatible in the range of sufficiently low temperatures where deviations from the quasiharmonic approximation are small, provided a good force-constant model as well as a statistically adequate $g(ensuremath{omega})$ are available. There is evidence that the quasiharmonic approximation in aluminum is invalid at room temperature at least for the extreme low-frequency part of $g(ensuremath{omega})$." @default.
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- W2076176391 title "Normal Vibrations in Aluminum and Derived Thermodynamic Properties" @default.
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- W2076176391 doi "https://doi.org/10.1103/physrev.143.487" @default.
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