计算物理 ›› 2000, Vol. 17 ›› Issue (S1): 1-5.DOI: 10.3969/j.issn.1001-246X.2000.01.002

• 论文 •    下一篇

铂Hugoniot曲线的Ab initio计算

王义   

  1. 北京应用物理与计算数学研究所, 北京 100088
  • 收稿日期:1999-07-20 出版日期:2000-12-25 发布日期:2000-12-25
  • 作者简介:王义(1962~),male,Heilongjiang,Associate-Prof PhD,Condensed matter.
  • 基金资助:
    This work was supported by National PAN-DENG Project(Great No.95-YU-41)

CALCULATED HUGONIOT OF PLATINUM TO 1000 Gpa

WANG Yi   

  1. Institute of Applied Physics and Computational Mathematics, Beijing 100088, P R China
  • Received:1999-07-20 Online:2000-12-25 Published:2000-12-25
  • Supported by:
    This work was supported by National PAN-DENG Project(Great No.95-YU-41)

摘要: 对于一个原子平均体积为V,温度为T的热力学系统,体系的Helmholtz自由能可以写为F(V,T)=Ec(V)+Fion(V,T)+Fel(V,T)+Fmag(V,T)其中Ec为0-K冷能。对于其中的电子热激发贡献Fel和磁自由度贡献Fmag,较为精确的计算是采用Jarlborg方案。对于晶格热运动贡献Fion,目前流行的有三种计算方案,即:Moruzzi的Debye Grueneisen方案、Moriarty的MGPT方案和Wasserman的CELL模型方案。Debye Grueneisen方案对于低温问题比较适合,MGPT方案和CELL模型方案过于复杂较难用于解决一般的实际问题。提出了一种适合于处理高温问题的经典平均场(CMF)方案。这种方案利用了CELL模型和自由体积理论的平均场思想,但摒弃了对势,取而代之直接利用冷能曲线进行数值积分。计算方案不含任何可调参数,即不需要Debye温度也不需要Grueneisen参数。通常金属铂是进行高压高温研究的定标材料。利用LAPW方法计算其冷能Ec,计算了金属铂(Pt)的激波压缩性质,如P-VP-T、比热和Grueneisen参数等。计算结果更支持Holmes等人最近的实验结果。

关键词: Hugoniot态, 状态方程, LAPW, Pt

Abstract: Calculated shock-wave compressed properties of metal platinum is presented based on i)the accurate calculations of 0-K total energies with the self-consistent,relativistic,full-potential,and spin-polarized,linearized augmented plane wave method within the local density approximation to exchenge-correlational functional;and ii)the classical mean-field statistics.The calculations of 0-K total energies span a wide fcc lattice constant range of from 6.1 a.u. to 9.9 a.u.Our approach does not invoke any empirical parameters.The experimental Hugoniot is reproduced excellently.

Key words: Hugoniot state, EOS, LAPW, platinum

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