Polyhedral Bulk Moduli From High-Pressure Crystal Field Spectra

  1. Murli H. Manghnani and
  2. Yasuhiko Syono
  1. Roger G. Burns

Published Online: 21 MAR 2013

DOI: 10.1029/GM039p0361

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

Burns, R. G. (2013) Polyhedral Bulk Moduli From High-Pressure Crystal Field Spectra, 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/GM039p0361

Author Information

  1. Department of Earth, Atmospheric & Planetary Sciences, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, 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

A modified Birch-Murnaghan equation of state, K l, 0 = (2/3)P [(Δ p 0)7/5 − (Δ p 0)]−1 is used to evaluate zero-pressure polyhedral bulk moduli, K l, 0, for transition metal-bearing coordination polyhedra from pressure-induced variations of the crystal field splitting parameter, Δ, obtained from visible-near infrared spectral measurements of oxides and silicates. The K l, 0 values generally agree with polyhedral bulk moduli derived from high-pressure X-ray data. The spectral method for evaluating polyhedral bulk moduli is best suited to cubic (isometric) phases containing transition metals in regular, or only slightly distorted, octahedral or cubic (8-fold) environments. Such coordination polyhedra occur in garnet, spinel, periclase, and perovskite structure-types in the mantle.