Lattice strains in gold and rhenium under nonhydrostatic compression to 37 GPa

Phys. Rev. B 60, 15063 – Published 1 December 1999
Thomas S. Duffy, Guoyin Shen, Dion L. Heinz, Jinfu Shu, Yanzhang Ma, Ho-Kwang Mao, Russell J. Hemley, and Anil K. Singh


Using energy-dispersive x-ray diffraction techniques together with the theory describing lattice strains under nonhydrostatic compression, the behavior of a layered sample of gold and rhenium has been studied at pressures of 14–37 GPa. For gold, the uniaxial stress component t is consistent with earlier studies and can be described by t=0.06+0.015P where P is the pressure in GPa. The estimated single-crystal elastic moduli are in reasonable agreement with trends based on extrapolated low-pressure data. The degree of elastic anisotropy increases as α, the parameter which characterizes stress-strain continuity across grain boundaries, is reduced from 1.0 to 0.5. For rhenium, the apparent equation of state has been shown to be strongly influenced by nonhydrostatic compression, as evidenced by its dependence on the angle ψ between the diffracting plane normal and the stress axis. The bulk modulus obtained by inversion of nonhydrostatic compression data can differ by nearly a factor of 2 at angles of 0° and 90°. On the other hand, by a proper choice of ψ, d spacings corresponding to quasihydrostatic compression can be obtained from data obtained under highly nonhydrostatic conditions. The uniaxial stress in rhenium over the pressure range from 14–37 GPa can be described by t=2.5+0.09P. The large discrepancy between x-ray elastic moduli and ultrasonic data and theoretical calculations indicates that additional factors such as texturing or orientation dependence of t need to be incorporated to more fully describe the strain distribution in hexagonal-close-packed metals.


  • Received 2 June 1999
  • Published in the issue dated 1 December 1999

© 1999 The American Physical Society

Authors & Affiliations

Thomas S. Duffy

  • Department of Geosciences, Princeton University, Princeton, New Jersey 08544

Guoyin Shen

  • Consortium for Advanced Radiation Sources, The University of Chicago, Chicago, Illinois 60637

Dion L. Heinz

  • Department of Geophysical Sciences, The University of Chicago, Chicago, Illinois 60637

Jinfu Shu, Yanzhang Ma, Ho-Kwang Mao, and Russell J. Hemley

  • Geophysical Laboratory and Center for High-Pressure Research, Carnegie Institution of Washington, Washington, DC 20015

Anil K. Singh

  • Materials Science Division, National Aerospace Laboratories, Bangalore 5600 17, India

References (Subscription Required)

Authorization Required




Log In



Article Lookup
Paste a citation or DOI

Enter a citation
  1. Enter a citation to look up or terms to search.

    Ex: "PRL 112 068103", "Phys. Rev. Lett. 112, 068103", "10.1103/PhysRevLett.112.068103"