Velocity of sound, density, and Grüneisen constant in liquid He4

B. M. Abraham*, Y. Eckstein, J. B. Ketterson, M. Kuchnir, P. R. Roach

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

167 Scopus citations

Abstract

By measuring the pressure dependence of the velocity of sound, we have determined both the pressure dependence of the density and the Grüneisen constant u of liquid He4. Measurements were made below 0.1 K and in the vicinity of 0.5 K. Our determinations of the pressure dependence of the density agree quite well with that determined by Boghosian and Meyer, who used a capacitance bridge. Since the latter results rely on the validity of the Clausius-Mossotti relation and a pressure-independent electric polarizability, the present work can be interpreted as supporting both of these assumptions. We found that u(ρ0)≡(ρc)dcdρ=2.84 under the vapor pressure at 0.1 K. Using this value of u to calculate the attenuation of sound according to a three-phonon mechanism, we obtain an attenuation of less than half the measured value. Thus, the present theory of sound attenuation must be incomplete.

Original languageEnglish (US)
Pages (from-to)250-257
Number of pages8
JournalPhysical Review A
Volume1
Issue number2
DOIs
StatePublished - 1970

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

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