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The Second and Third Virial Coefficients of 3He from 3.3 K to 13 K from Experimental Data

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Abstract

The second and third density virial coefficients, B and C, of helium-3 (3He) are determined in the temperature range from 3.3 K to 13 K based on the analysis of experimental thermophysical data. The empirically fitted equations of B and C are obtained, which enable us to calculate the second and third acoustic virial coefficients, βa and RTγa, of 3He in the same temperature range. This study provides the first experiment-based values of βa and RTγa from 3.75 K to 13 K. The obtained density and acoustic virial coefficients of 3He are compared with previous experimental and theoretical studies.

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Acknowledgments

The author is deeply indebted to Bo Song of Xi’an Jiaotong University for theoretical calculations of the second density and acoustic virial coefficients of 3He.

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Authors and Affiliations

  1. Graduate School of Engineering, Kyoto University, Kyoto, 615-8530, Japan

    Kohei Tada

  2. Division for Low Temperature and Materials Sciences, Kyoto University, Kyoto, 615-8530, Japan

    Kohei Tada

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  1. Kohei Tada
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Correspondence to Kohei Tada.

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Tada, K. The Second and Third Virial Coefficients of 3He from 3.3 K to 13 K from Experimental Data. Int J Thermophys 42, 145 (2021). https://doi.org/10.1007/s10765-021-02901-1

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  • DOI: https://doi.org/10.1007/s10765-021-02901-1

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