Pressure Dependence of the Thermal Grüneisen Parameter, with Application to the Earth's Lower Mantle and Outer Core

  1. Thomas J. Shankland and
  2. Jay D. Bass
  1. Roderick D. Irvine and
  2. Frank D. Stacey

Published Online: 21 MAR 2013

DOI: 10.1029/SP026p0349

Elastic Properties and Equations of State

Elastic Properties and Equations of State

How to Cite

Irvine, R. D. and Stacey, F. D. (1988) Pressure Dependence of the Thermal Grüneisen Parameter, with Application to the Earth's Lower Mantle and Outer Core, in Elastic Properties and Equations of State (eds T. J. Shankland and J. D. Bass), American Geophysical Union, Washington, D. C.. doi: 10.1029/SP026p0349

Author Information

  1. Physics Department, University, of Queensland, Brisbane, Qld. (Australia)

Publication History

  1. Published Online: 21 MAR 2013
  2. Published Print: 1 JAN 1988

ISBN Information

Print ISBN: 9780875902401

Online ISBN: 9781118664971

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Keywords:

  • Atomic oscillations;
  • Crystal structures and non-central forces;
  • Dugdale-MacDonald expression;
  • Earth's lower mantle and outer core;
  • Grüneisen parameter;
  • Thermal grüneisen parameter

Summary

  • Introduction – Geophysical Significance of the Grüneisen Parameter

  • Grüneisen's Ratio for a Simple Cubic Lattice with Nearest-Neighbour Central Forces

  • Calculations for Other Crystal Structures and Non-Central Forces

  • Temperature Dependence of Grüneisen's Ratio

  • Comparison with Laboratory Data at Low Pressures

  • Pressure Dependence of γ at High Pressures

  • Application to the Earth

  • Conclusions

  • Acknowledgments