Error Analysis of Parameter-Fitting in Equations of State for Mantle Minerals

  1. Murli H. Manghnani and
  2. Yasuhiko Syono
  1. P. M. Bell,
  2. H. K. Mao and
  3. J. A. Xu

Published Online: 21 MAR 2013

DOI: 10.1029/GM039p0447

High-Pressure Research in Mineral Physics: A Volume in Honor of Syun-iti Akimoto

High-Pressure Research in Mineral Physics: A Volume in Honor of Syun-iti Akimoto

How to Cite

Bell, P. M., Mao, H. K. and Xu, J. A. (1987) Error Analysis of Parameter-Fitting in Equations of State for Mantle Minerals, in High-Pressure Research in Mineral Physics: A Volume in Honor of Syun-iti Akimoto (eds M. H. Manghnani and Y. Syono), American Geophysical Union, Washington, D. C.. doi: 10.1029/GM039p0447

Author Information

  1. Geophysical Laboratory, Washington, Dc 20008, USA

Publication History

  1. Published Online: 21 MAR 2013
  2. Published Print: 1 JAN 1987

ISBN Information

Print ISBN: 9780875900667

Online ISBN: 9781118664124

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Keywords:

  • Mineralogy and Crystal Chemistry;
  • Phase transformations;
  • High Pressure-High Temperature Research

Summary

Experimental data on volume as a function of pressure can now be obtained at maximum pressures of almost twice that of the earth's core-mantle boundary. Thus experimental data can be compared directly with seismic observations. Extrapolated values of experimental data from zero pressure or from any intermediate pressure below the pressure of application are not justified because of significantly high errors. The most accurate derived value of any given data set occurs between 15 and 85% of the maximum experimental pressure range. Tests of these concepts using the Murnaghan and Birch finite strain equations demonstrate the distribution of errors and describe the basis for evaluation of K, K′, and V of mantle materials.