Statistics – Applications
Scientific paper
May 1978
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978e%26psl..39..387a&link_type=abstract
Earth and Planetary Science Letters, vol. 39, no. 3, May 1978, p. 387-397.
Statistics
Applications
3
Argon Isotopes, Degassing, Lunar Rocks, Spatial Distribution, Anorthosite, Gas Analysis, Mathematical Models
Scientific paper
A method for recovering spatial isotope distributions in minerals from stepwise degassing data is presented with special emphasis on rare-gas analysis. For a given gas, it requires that one among its isotopes is homogeneously distributed in the system, a condition usually met by those isotopes which are produced by nuclear reaction on major element targets (e.g., Ar-37 for argon). This problem is an application of linear inversion techniques, previously developed for geophysical purposes, to the diffusion theory. The calculated solution takes into account experimental inaccuracy of the data, and an analysis of their resolving power allows the physically meaningful models to be selected. An application of the method to the lunar anorthosite 15415 analyzed by Turner (1972) for argon isotopes allows the spatial age distribution in the plagioclase grains to be restored and gives a new insight into the complex history of that rock. Other potential applications are briefly mentioned.
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