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Statistical characteristics and origin of oscillatory zoning in crystals
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1997
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EngineeringCrystal Growth TechnologyMineral ExplorationHydrothermal GarnetPhysical GeographyEarth ScienceSocial SciencesGeological DataCrystal FormationStatistical MethodsPhysicsStatistical CharacteristicsGeographyGeologyCrystallographyPattern FormationStructural GeologyCondensed Matter PhysicsExploration GeologyEconomic GeologyCrystalsEarth SciencesGeochemistryMineralized SystemSelf-affine Fractal GeometryPetrologyMineral Geochemistry
Other| June 01, 1997 Statistical characteristics and origin of oscillatory zoning in crystals Terje Holten; Terje Holten University of Oslo, Department of Geology, Oslo, Norway Search for other works by this author on: GSW Google Scholar Bjorn Jamtveit; Bjorn Jamtveit Search for other works by this author on: GSW Google Scholar Paul Meakin; Paul Meakin Search for other works by this author on: GSW Google Scholar Massimo Cortini; Massimo Cortini Search for other works by this author on: GSW Google Scholar Jon Blundy; Jon Blundy Search for other works by this author on: GSW Google Scholar Hakon Austrheim Hakon Austrheim Search for other works by this author on: GSW Google Scholar American Mineralogist (1997) 82 (5-6): 596–606. https://doi.org/10.2138/am-1997-5-619 Article history first online: 02 Mar 2017 Cite View This Citation Add to Citation Manager Share Icon Share Twitter LinkedIn Tools Icon Tools Get Permissions Search Site Citation Terje Holten, Bjorn Jamtveit, Paul Meakin, Massimo Cortini, Jon Blundy, Hakon Austrheim; Statistical characteristics and origin of oscillatory zoning in crystals. American Mineralogist 1997;; 82 (5-6): 596–606. doi: https://doi.org/10.2138/am-1997-5-619 Download citation file: Ris (Zotero) Refmanager EasyBib Bookends Mendeley Papers EndNote RefWorks BibTex toolbar search Search Dropdown Menu nav search search input Search input auto suggest search filter All ContentBy SocietyAmerican Mineralogist Search Advanced Search Abstract Complex intracrystalline zoning patterns in hydrothermal garnet and vesuvianite and magmatic plagioclase were analyzed by statistical methods to test for fractal behavior. The zoning data were collected by electron and proton microprobe, and backscattered electron images and polarized micrographs were digitized. The analysis shows that self-affine fractal geometry can be used to characterize the zoning patterns of vesuvianite and some garnet patterns. The range of power-law scaling extended up to two decades. The results from the plagioclase samples were not sufficient to determine whether or not the zoning patterns were self-affine. The measured Hurst exponents are mostly in the range 0.25–0.45, indicating fractal scaling and anti-persistent behavior. This means that an increasing compositional trend in the past favors a decreasing trend in the future and vice versa. No distinct periodic components of the zoning patterns were found.The influence of environmental changes (external fluctuations) on a simple crystal growth model was investigated by numerical simulations. The concentration at the boundary of a diffusion layer was allowed to vary as a Brownian-motion curve, and the effect of the external fluctuation on diffusion and local growth kinetics was investigated. We conclude that factors operating on scales much larger than the local interface processes are most important in controlling the zonation. This content is PDF only. Please click on the PDF icon to access. First Page Preview Close Modal You do not have access to this content, please speak to your institutional administrator if you feel you should have access.