Open AccessSignificant structure theory applied to liquid helium-3
Author(s) -
Youngie Oh,
Mu Shik Jhon,
Henry Eyring
Publication year - 1977
Publication title -
proceedings of the national academy of sciences of the united states of america
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 5.011
H-Index - 771
eISSN - 1091-6490
pISSN - 0027-8424
DOI - 10.1073/pnas.74.11.4739
Subject(s) - partition function (quantum field theory) , thermodynamics , heat capacity , chemistry , ideal gas , molecule , helium 3 , physics , atomic physics , quantum mechanics
The significant structure theory of liquids is successfully applied to the quantum liquid3 He. The partition function uses the Debye partition function for the solid-like molecules and the Fermi-Dirac partition function for the gas-like degrees of freedom. To evaluate the gas-like partition function, numerical calculations are performed and some integral functions appearing in the equation of state of the ideal Fermi-Dirac gas are tabulated. In the solid-like molecules, the molar volumeVs depends on the temperature, and a linear dependence is used.The thermodynamic properties, such as molar volume, vapor pressure, entropy, heat capacity, and the critical constants as well as the surface tension of liquid3 He are calculated. The agreement between theory and experiment is satisfactory.