Thermodynamical Properties of Copper Under High Pressure and Different Temperatures

The elastic properties such as (compressibility range from (1 to 0.6 values), isothermal bulk modulus and pressure derivative of isothermal bulk modulus) have been computed using (vinet, Birch Murghun, Shanker, poireior)EOSs, the results were compared with the experimental data. The effect of high temperature and pressure on the four thermodynamic properties for copper have been studied. The vibration energy of atoms (ED) in a solid copper (Cu) and heat capacity at a constant volume ( CV ) have been evaluated using Debye model and the effect of pressure on Debye temperature. Finally, melting curve representing the variation of melting (Tm) with pressure have been Calculated for copper by using Mie Gruneison Debye equation (based on the above equation of states), Lindemann and Kumer equations, also the melting gradient was computed. It is found that melting temperature increases with pressure in a non-linear manner such that the melting gradient decreases gradually with increase in pressure. The results were found in good fitting with experimental data.