CaltechAUTHORS
  A Caltech Library Service

Bulk Modulus-Density Systematics

Anderson, Don L. (1969) Bulk Modulus-Density Systematics. Journal of Geophysical Research, 74 (15). pp. 3857-3864. ISSN 0148-0227. https://resolver.caltech.edu/CaltechAUTHORS:20140430-100959957

[img]
Preview
PDF - Published Version
See Usage Policy.

810kB

Use this Persistent URL to link to this item: https://resolver.caltech.edu/CaltechAUTHORS:20140430-100959957

Abstract

The elastic constants of crystals show a general tendency to increase as the mean molar volume 〈V〉 = 〈M〉/ρ decreases. The role of other factors, such as cation radius, crystal field effects, and anion-cation coordination, can now be discussed with available elastic constant data. For a given coordination the parameter ψ_0 = (ρ_0/〈M〉) Φ^(−⅓)_(0) (where ρ_0 is the zero-pressure density, 〈M〉 is the mean atomic weight, and Φ_0 is the ratio of the zero-pressure bulk modulus to the density) decreases with increasing cation radius and with cell volume per oxygen atom unless a nonspherical transition element ion, such as Fe++, substitutes for a nontransition ion, such as Mg++. The calcium effect discovered by G. Simmons is a special case of the cation radius effect. The elastic ratio Φ0 for complex oxides is approximately a molar average of the Φ0 of the component simple oxides. For silicates it appears that an empirical table of Φ_0(SiO_2) can be constructed for various mineral groups. Tentatively, Φ0(SiO_2) is roughly that of α quartz for the feldspars, β quartz for olivines and pyroxenes, coesite for garnets, and stishovite for spinels.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1029/JB074i015p03857DOIArticle
http://onlinelibrary.wiley.com/doi/10.1029/JB074i015p03857/abstractPublisherArticle
Additional Information:© 1969 American Geophysical Union. Manuscript Received: 1 April 1969. The author would like to thank Taro Takahashi, Gene Simmons, Stan Marsh, and Edward Schreiber for making available unpublished data from their laboratories. He is grateful to Ed Gaffney and Tom Ahrens for many stimulating discussions. This research was supported by National Science Foundation grant GA 1003.
Funders:
Funding AgencyGrant Number
NSFGA 1003
Other Numbering System:
Other Numbering System NameOther Numbering System ID
Caltech Division of Geological Sciences1622
Issue or Number:15
Record Number:CaltechAUTHORS:20140430-100959957
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20140430-100959957
Official Citation:Anderson, D. L. (1969), Bulk modulus-density systematics, J. Geophys. Res., 74(15), 3857–3864, doi:10.1029/JB074i015p03857.
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:45355
Collection:CaltechAUTHORS
Deposited By: Jason Perez
Deposited On:30 Apr 2014 20:34
Last Modified:03 Oct 2019 06:29

Repository Staff Only: item control page