Density calculations for silicate liquids: Reply to a Critical Comment by Ghiorso and Carmichael

Details Density calculations for silicate liquids: Reply to a Critical Comment by Ghiorso and Carmichael Density calculations for silicate liquids: Reply to a Critical Comment by Ghiorso and Carmichael

Feb 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984gecoa..48..409b&link_type=abstract

Geochimica et Cosmochimica Acta, vol. 48, Issue 2, pp.409-414

Mathematics

1

Scientific paper

The analysis of the liquid silicate density model recently proposed in et al. (1982) by and (1984) is shown to be based on a combination of unwarranted mathematical assumptions, refusal to recognize experimental and theoretical evidence for the non-linear effect of composition on liquid silicate density, and a totally unrealistic view of the accuracy with which the thermal expansion of silicate liquids can be measured. As a consequence, none of the general or specific points raised by Ghiorso and Carmichael are relevant to the issue of which of the existing calculation models ( and , 1970; and , 1979; et al. , 1982; or et al. , 1982, 1983) should be used. As stated in , and (1983), there is a problem in using a combination of the molar volume parameters from the first three of these models because they are not mutually independent. However, the set of partial molar volumes and thermal expansion constants given in et al. (1982, 1983) are internally consistent and mutually compatible. We remain firmly of the opinion that our latest model is an improvement over previous attempts because it conforms to a much wider set of observations, it incorporates a larger set of melt components, it calculates density and thermal expansion more accurately, and it points the way to one possible method of accommodating a non-linear phenomenon into a nonlinear model.

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