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Cation order/disorder behavior and crystal chemistry of pyrope-grossular garnets: An ¹⁷O 3QMAS and ²⁷Al MAS NMR spectroscopic study

Kimberly E. Kelsey^1,*, Jonathan F. Stebbins¹, Lin-Shu Du^1,, Jed L. Mosenfelder², Paul D. Asimow² and Charles A. Geiger³

¹ Department of Geological and Environmental Sciences Stanford University, Stanford, California 94305-2115, U.S.A.
² Division of Geological and Planetary Sciences California Institute of Technology, Pasadena, California 91125, U.S.A.
³ Institut für Geowissenschaften, Abteilung Mineralogie, Universität Kiel, Olshausenstrasse 40, D-24098 Kiel, Germany

Correspondence: ^* E-mail: kkelsey{at}pangea.stanford.edu

The thermodynamic mixing properties of the pyrope-grossular solid solution show large deviations from ideality, which could be partly related to Ca-Mg order/disorder. In this study, synthetic pyrope-grossular garnets with X_Mg = 1.00, 0.91, 0.75, 0.50, 0.24, 0.10, and 0.00 are observed using ¹⁷O 3QMAS, ²⁷Al MAS, and ²⁹Si MAS NMR to examine Ca-Mg order/disorder behavior and crystal chemical variations. The ¹⁷O 3QMAS NMR spectra show four distinct resonances, assigned to four different local oxygen coordination environments; two resemble end-member garnets (oxygen bonded to two Mg or two Ca) and two are intermediate (oxygen bonded to one Ca and one Mg), indicating that there are two distinct bond distances for the Mg-O and/or Ca-O bonds through the entire solid solution. Noticeable changes in the NMR peak position for two of the oxygen sites suggest that as X_Mg increases, the longer Ca-O bond shortens. The relative areas for the different oxygen sites are close to those predicted using a model of random Ca/Mg mixing. The maximum allowed reduction in configurational entropy from first neighbor Ca-Mg ordering is insignificant relative to other configurational entropy reductions and excess vibrational entropy. These conclusions are not inconsistent with published theoretical calculations suggesting some Ca-Mg ordering that involves correlations beyond the first neighbor, as suggested by published theoretical calculations. Even at 18.8 Tesla, the ²⁷Al MAS NMR spectra do not resolve different local Al sites with varying combinations of X cation neighbors. The ²⁹Si MAS NMR spectra have resonance broadening, probably caused by the addition of 0.15 wt% Fe₂O₃ in the synthetic samples, and are consistent with published results suggesting a small degree of Ca-Mg ordering that is not reflected in the ¹⁷O NMR spectra.

Key Words: NMR spectroscopy • pyrope • grossular • order-disorder • garnet • oxygen-17 • aluminum-27 • silicon-29

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