Anharmonicity and the equation of state for gold
The temperature dependence of the thermodynamic and the elastic properties of elemental gold are found from published data. It is shown that measurements for (partialK/sub T//partialP)/sub T/ near 5.5 are more thermodynamically consistent than are higher values of this parameter which have been reported earlier. Using 5.5 for (partialK/sub T//partialP)/sub T/, we find that (partialK/sub T//partialT)/sub V/ is not zero but -11.5 x 10/sup -3/ GPa K/sup -1/ for high temperatures (T>theta/sub D/, where theta/sub D/ is the Debye temperature). One consequence of this is that above theta/sub D/ the thermal pressure, P/sub TH/, along the room-pressure isobar can be expressed as P/sub TH/(T)-P/sub TH/(300) = (7.14 x 10/sup -3/ +(partialK /sub T//partialT)/sub v/ ln(V/sub a//V)) x (T-300) GPa for T at absolute temperature and V/sub a/ being the volume at ambient conditions. These results give thermal pressure values near those previously reported at small compressions, but give lower thermal pressures at large compressions. This study suggests that in order to ensure thermodynamic consistency, the value of d ln ..gamma../d ln V is near 2.5--3.0 which is higher than values of 1.0 and 1.7 reported previously (..gamma.. is the Grueneisen ratio). Calculations giving the compressional and shear wave velocities, v/sub p/ and v/sub s/, are also presented.
- Research Organization:
- Institute of Geophysics and Planetary Physics University of California, Los Angeles, California 90024
- OSTI ID:
- 6566627
- Journal Information:
- J. Appl. Phys.; (United States), Journal Name: J. Appl. Phys.; (United States) Vol. 65:4; ISSN JAPIA
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
360103 -- Metals & Alloys-- Mechanical Properties
360104* -- Metals & Alloys-- Physical Properties
CALIBRATION
DATA
ELASTICITY
ELEMENTS
EQUATIONS
EQUATIONS OF STATE
EXPERIMENTAL DATA
GOLD
INFORMATION
MECHANICAL PROPERTIES
METALS
NUMERICAL DATA
PHYSICAL PROPERTIES
PRESSURE EFFECTS
TENSILE PROPERTIES
THERMODYNAMIC PROPERTIES
TRANSITION ELEMENTS
VERY HIGH PRESSURE