Numerical analysis of cold pressure equation of metals

The cold pressure parameters of q and Q in the Born-Mayer(BM) model for fifty-seven metals equations were calculated by using the Hu-Jing(HJ) method based on isothermal bulk moduli of metal and measured data in shock wave experiments, and at the same time a trial method for computing them by combining Thomas-Fermi model at absolute zero-temperature with low pressure experiment data, is put forward for lack of the sufficient shock wave experiment data. By integrating the Faussurier model for electron thermal pressure, the Cowan model for ion thermal pressure and the above obtained cold pressure fitted formula, the Hugoniot curves of Be, Co and Pb are calculated and compared with experimental data, and then the discrepancies of q value and Q value obtained by HJ method and a comprehensive method are analyzed and interpreted. Furthermore, the precision for the cold pressure equation by HJ method is assessed by comparing the thermodynamic quantities on the Hugoniot curves of Sr, Ba, and Sm with the corresponding measured results and the calculated ones by other models.