An improved equation for crystal size distribution in second-phase influenced aggregates
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Alfons Berger
Abstract
A model is presented to calculate crystal size distributions (CSDs) for coarsened mineral aggregates. The equations consider the second-phase particles inside coarsening aggregates. This approach is different from other published kinetic growth equations. The proposed model includes grain size limits due to the presence of second-phase particles. These limits control the behavior of growing grains. The physical basis for this model is taken from a neighborhood-coarsening model. The model is able to compute coarsening of a given set of crystal sizes, to simulate the evolution of the CSD, and to describe the influence of the amount and size of the second-phase particles. The model is limited to rocks that can be described as matrix with second phases. For very low second-phase concentrations (volume fraction <0.01), the model gives results similar to Lifshitz-Slyozov-Wagner models (LSW). In the case where the second-phase content is extremely high (volume fraction >0.5), the model would not allow coarsening or the system can be no longer described as matrix and second-phase particles. Depending on the size and amount of second phases, the CSD develops similar to LSW at high growth rates, but intermediate growth rates produce CSDs that are unknown in other closedsystem coarsening models.
To test the model, natural data from a contact-metamorphic calcite marble with different mica contents have been compared with simulated CSDs. The measured and simulated CSDs can be well described by the proposed model for variable amounts of second-phase particles. The two-phase model is applicable to impure carbonates, mica-bearing quartzites, or impure dunites. The proposed model has interesting applications to experimental data, where porosity may influence grain coarsening.
© 2015 by Walter de Gruyter Berlin/Boston
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Articles in the same Issue
- Indialite in xenolithic rocks from Somma-Vesuvius volcano (Southern Italy): Crystal chemistry and petrogenetic features
- Coexisting chromian omphacite and diopside in tremolite schist from the Chugoku Mountains, SW Japan: The effect of Cr on the omphacite-diopside immiscibility gap
- 2111 biopyribole intermediate between pyroxene and amphibole: Artifact or natural product?
- Coexisting clinopyroxene/spinel and amphibole/spinel symplectites in metatroctolites from the Buck Creek ultramafic body, North Carolina Blue Ridge
- The T-X dependence of the isosymmetric displacive phase transition in synthetic Fe3+-Al zoisite: A temperature-dependent infrared spectroscopy study
- A kinetic study of the exsolution of pentlandite (Ni,Fe)9S8from the monosulfide solid solution (Fe,Ni)S
- Single-crystal plagioclase feldspar dissolution rates measured by vertical scanning interferometry
- A simple empirical method for high-quality electron microprobe analysis of fluorine at trace levels in Fe-bearing minerals and glasses
- Constraints on mingling of crystal populations from off-center zoning profiles: A statistical approach
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- Solution calorimetric determination of the enthalpies of formation of NH4-bearing minerals buddingtonite and tobelite
- Dehydration dynamics of bikitaite: Part I. In situ synchrotron powder X-ray diffraction study
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- Investigation of Al/Si ordering in tetrahedral phyllosilicate sheets by Monte Carlo simulation
- Equations of state of ZrSiO4phases in the upper mantle
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- In situ determination of the compressibility of synthetic pure zircon (ZrSiO4) and the onset of the zircon-reidite phase transition
- Halite-sylvite thermoelasticity
- Spiral growth of grossular under hydrothermal conditions
- Incomplete retention of radiation damage in zircon from Sri Lanka
- Shirozulite, KMn32+(Si3Al)O10(OH)2, a new manganese-dominant trioctahedral mica: Description and crystal structure
- Novel phase transition in orthoenstatite
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