Linear isotherm regularities of liquid gallium under pressure
Several new regularities in liquid gallium have been obtained from both the available experimental data and calculated thermodynamic properties along the isothermal lines with the equation of state (EoS) of a power law form. The quantity Z−1V3 is linearly proportional to V3 for all isotherms at high...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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AIP Publishing LLC
2021-12-01
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| Series: | AIP Advances |
| Online Access: | http://dx.doi.org/10.1063/5.0074623 |
| _version_ | 1798034814678335488 |
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| author | Huaming Li Hao Ding Yanting Tian Yongli Sun Mo Li |
| author_facet | Huaming Li Hao Ding Yanting Tian Yongli Sun Mo Li |
| author_sort | Huaming Li |
| collection | DOAJ |
| description | Several new regularities in liquid gallium have been obtained from both the available experimental data and calculated thermodynamic properties along the isothermal lines with the equation of state (EoS) of a power law form. The quantity Z−1V3 is linearly proportional to V3 for all isotherms at high temperatures. Both the calculated reduced isothermal bulk modulus B*=BTVRT and the parameter Zint=PintVRT derived from the available experimental data and EoS of a power law form are observed to be linear with respect to V−3 with the temperature T and gas constant R, which is verified by the derived analytical expression from the derived linear isothermal regularity (LIR) EoS. By using the analytical expression from the LIR EoS, the calculated isobaric thermal expansion coefficient, isochoric heat capacity, isobaric heat capacity, Grüneisen parameter, and Anderson–Grüneisen parameter show quite different behavior with pressure at a constant temperature compared with those values from EoS of a power law form. In addition, analytical expressions of thermodynamic properties of liquid gallium are derived from the LIR EoS, such as adiabatic bulk modulus, sound velocity, entropy, internal energy, enthalpy, Helmholtz free energy, and Gibbs free energy, which have the same tendency with pressure at a constant temperature as the numerically integrated values from EoS of a power law form. |
| first_indexed | 2024-04-11T20:49:35Z |
| format | Article |
| id | doaj.art-e4605c45bc724f6aa62c9fed2dd4e2bf |
| institution | Directory Open Access Journal |
| issn | 2158-3226 |
| language | English |
| last_indexed | 2024-04-11T20:49:35Z |
| publishDate | 2021-12-01 |
| publisher | AIP Publishing LLC |
| record_format | Article |
| series | AIP Advances |
| spelling | doaj.art-e4605c45bc724f6aa62c9fed2dd4e2bf2022-12-22T04:03:54ZengAIP Publishing LLCAIP Advances2158-32262021-12-011112125204125204-1010.1063/5.0074623Linear isotherm regularities of liquid gallium under pressureHuaming Li0Hao Ding1Yanting Tian2Yongli Sun3Mo Li4College of Physics and Optoelectronics, Taiyuan University of Technology, Taiyuan 030024, ChinaCollege of Physics and Optoelectronics, Taiyuan University of Technology, Taiyuan 030024, ChinaCollege of Physics and Optoelectronics, Taiyuan University of Technology, Taiyuan 030024, ChinaCollege of Physics and Optoelectronics, Taiyuan University of Technology, Taiyuan 030024, ChinaSchool of Materials Science and Engineering, Georgia Institute of Technology, Atlanta, Georgia 30332, USASeveral new regularities in liquid gallium have been obtained from both the available experimental data and calculated thermodynamic properties along the isothermal lines with the equation of state (EoS) of a power law form. The quantity Z−1V3 is linearly proportional to V3 for all isotherms at high temperatures. Both the calculated reduced isothermal bulk modulus B*=BTVRT and the parameter Zint=PintVRT derived from the available experimental data and EoS of a power law form are observed to be linear with respect to V−3 with the temperature T and gas constant R, which is verified by the derived analytical expression from the derived linear isothermal regularity (LIR) EoS. By using the analytical expression from the LIR EoS, the calculated isobaric thermal expansion coefficient, isochoric heat capacity, isobaric heat capacity, Grüneisen parameter, and Anderson–Grüneisen parameter show quite different behavior with pressure at a constant temperature compared with those values from EoS of a power law form. In addition, analytical expressions of thermodynamic properties of liquid gallium are derived from the LIR EoS, such as adiabatic bulk modulus, sound velocity, entropy, internal energy, enthalpy, Helmholtz free energy, and Gibbs free energy, which have the same tendency with pressure at a constant temperature as the numerically integrated values from EoS of a power law form.http://dx.doi.org/10.1063/5.0074623 |
| spellingShingle | Huaming Li Hao Ding Yanting Tian Yongli Sun Mo Li Linear isotherm regularities of liquid gallium under pressure AIP Advances |
| title | Linear isotherm regularities of liquid gallium under pressure |
| title_full | Linear isotherm regularities of liquid gallium under pressure |
| title_fullStr | Linear isotherm regularities of liquid gallium under pressure |
| title_full_unstemmed | Linear isotherm regularities of liquid gallium under pressure |
| title_short | Linear isotherm regularities of liquid gallium under pressure |
| title_sort | linear isotherm regularities of liquid gallium under pressure |
| url | http://dx.doi.org/10.1063/5.0074623 |
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