用冲击压缩数据计算物质结合能的一个简便解析方法

 在材料性质满足：（1）可用波恩-迈耶势描述其结合能；（2）自由电子对热能的贡献可忽略不计；以及（3）冲击波速度关系式可用直线关系描述的条件下，本文导出了一个用冲击绝热线数据直接计算该材料结合能和格临爱森物态方程的简便解析公式。给出了用本文方法计算Be，Al，Cu，Ta，U等十七种金属的冷能和冷压方程的结果。将本文结果与徐锡申等和Zharkov等的数值计算结果相比较，发现在冲击压缩测量的实验误差范围内，大多数金属的符合程度是比较好的，但Be，Ni和Pb三种金属除外。本文中对上述偏差的可能原因也做了讨论。

A SIMPLIFIED ANALYTICAL METHOD FOR CALCULATIONS OF EQUATION-OF STATE OF MATERIALS FROM SHOCK COMPRESSION DATA

Assuming (1) the Born-Meyer potential, (2) with negligible electron contribution to themal energy, and (3) with a linear relation between the shock and partical velocities are valid for materials to be studied, an analytical approach is proposed in this paper for calculating the binding energy and the corresponding Gruneisen equation-of-state of those materials. Seventeen metals, including Be, Al, Cu, Ta, U etc, are used as examples to test the applicability of the proposed method by calculating the values of Q, q which are two parameters in Born-Meyer potential.In comparison with those give from Refs 13]14], it is found that there appears a satisfactory agreement among the data from these three different sources with a few exceptions of Be, Ni and Pb, and the validity of this method is also proved. The possible causes of the discrepancies in Be , Ni and Pb are also discussed in paper.