Statistical characteristics and origin of oscillatory zoning in crystals

American Mineralogist

Volumn 82, Issue 5-6, 1997, Pages 596-606

  Holten, Terje ^a   Jamtveit, Bjørn ^a   Meakin, Paul ^a   Cortini, Massimo ^b   Blundy, Jon ^c   Austrheim, Håkon ^d  

^a UNIVERSITY OF OSLO   (Norway)

^b UNIVERSITY OF NAPLES FEDERICO II   (Italy)

^c UNIVERSITY OF BRISTOL   (United Kingdom)

^d UNIVERSITY OF OSLO   (Norway)

Author keywords

[No Author keywords available]

Indexed keywords

FELDSPAR; FRACTALS; GARNETS; GROWTH KINETICS;

BACKSCATTERED ELECTRON IMAGES; CRYSTAL GROWTH MODEL; INFLUENCE OF ENVIRONMENTAL CHANGES; OSCILLATORY ZONING; PERIODIC COMPONENTS; POWER LAW SCALINGS; SELF-AFFINE FRACTALS; STATISTICAL CHARACTERISTICS;

ZONING;

FRACTAL BEHAVIOUR; GARNET; HYDROTHERMAL MINERAL; PLAGIOCLASE; VESUVIANITE; ZONING;

EID: 0030813781     PISSN: 0003004X     EISSN: None     Source Type: Journal    
DOI: 10.2138/am-1997-5-619     Document Type: Article

References (41)

1. Allegre, C.J., Provost, A., and Jaupart, C. (1987) A discussion of PIXAN and PIXANPC - the AAEC PIXE analysis computer packages. Nuclear Instruments and Methods, B22, 64-67.
2. Criswell, C.W. (1987) Chronology and pyroclastic stratigraphy of the May 18, 1980, eruption of Mount St. Helens, Washington. Journal of Geophysical Research, 92, 10237-10266.
3. Feder, J. (1988) Fractals, 283 p. Plenum Press, New York.
4. Francis, P.W., Sparks, R.S.J., Hawkesworth, C.J., Thorpe, R.S., Pyle, D.M., Tait, S.R., Mantovani, M.S., and McDermott, F. (1989) Petrology and geochemistry of volcanic rocks of the Cerro Galan caldera, northwest Argentina. Geological Magazine, 126, 515-547.
5. Gardner, J.E., Carey, S., Rutherford, M., and Sigurdsson, H. (1995) Petrologic diversity in Mount St. Helens dacites during the last 4000 years: implications for magma mixing. contributions to Mineralogy and Petrology, 119, 224-238.
6. Goldschmidt, V.M. (1911) Die Kontaktmetamorphose im Kristianiagebeit, 405 p. Skrifter fra det Norske Vitenskaps Akademi, Oslo, Matematisk Naturvitenskapelig Kl.11.
7. Grossberger, P. and Procaccia, I. (1983) Measuring the strangeness of strange attractors. Physica D, 9, 189-208.
8. Haase, C.S., Chadam, J., Feinn, D., and Ortoleva, P. (1980) Oscillatory zoning in plagioclase feldspar. Science, 209, 272-274.
9. Halden, N.M. and Hawthorne, F.C. (1993) The fractal geometry of oscillatory zoning in crystals: Application to zircon. American Mineralogist, 78, 1113-1116.
10. Jamtveit, B., (1991) Oscillatory zonation pattens in hydrothermal grossular-andradite garnet: Nonlinear dynamics in regions of immiscibility. American Mineralogist, 76, 1319-1327.
11. Jamtveit, B. and Andersen, T. (1992) Morphological instabilities during rapid growth of metamorphic garnets. Physics and Chemistry of Minerals, 19, 176-184.
12. Jamtveit, B. and Hervig, R.L. (1994) Constraints on transport and kinetics in hydrothermal system from zoned garnet crytals. Science, 263, 505-508.
13. Jamtveit, B., Wogelius, R.A., and Fraser, D.G. (1993) Zonation patterns of skarn garnets: Records of hydrothermal system evolution. Geology, 21, 113-116.
14. Jamtveit, B., Ragnarsdottir, K.V., and Wood, B.J. (1995) On the origin of zoned grossular-andradite garnets in hydrothermal systems. European Journal of Mineralogy, 7, 1399-1410.
15. Jamtveit, B., Grorud, H.F., and Ragnarsdottir, K.V. (1996). Flow and transport during contact metamorphism and hydrothermal activity: An example from the Oslo Rift. In B. Jamtveit, and B. Yardley, Eds., Fluid flow and transport in rocks. Chapman and Hall, London.
16. Kirkpatrick, R.J., Klein, L., Uhlmann, D.R., and Hays, J.F. (1979) Rates and processes of crystal growth in the system anorthite-albite. Journal of Geophysical Research, 84, 3671-3676.
17. Klug, C. and Cashman, K.V. (1994) Vesiculation of May 18, 1980, Mount St. Helens magma. Geology, 22, 468-472.
18. Lasaga, A.C. (1982) Toward a master equation in crystal growth. American Journal of Science, 282, 1264-1288.
19. _(1986) Metamorphic reaction rate laws and development of isograds. Mineralogical Magazine, 50, 359-373.
20. L'Heureux, I. (1993) Oscillatory zoning in crystal growth: A constitutional undercooling mechanism. Physical Review E, 48, 4460-1469.
21. L'Heureux, I. and Fowler, A.D. (1994) A nonlinear dynamical model of oscillatory zoning in plagioclase. American Mineralogist, 79, 885-891.
22. Mandelbrot, B.B. (1982) The fractal geometry of nature, 468 p. W.H. Freeman, San Francisco, California.
23. _(1985) Self-affine fractals and fractal dimension. Physica Scripta, 32, 25-260.
24. Meakin, P. (1997) Fractals, scaling and growth far from equilibrium, Cambridge University Press, Cambridge, U.K., in press.
25. Muan, A. (1979). Crystallization in silicate systems. In H.S. Yoder, Ed., Evolution of the igneous rocks, p.77-132. Princeton University Press, Princeton, New Jersey.
26. Ortoleva, P. (1990) Role of attachment kinetic feedback in the oscillatory zoning of crystals grown from melts. Earth Science Reviews, 29, 3-8.
27. _(1994) Geochemical self-organization, 411 p. Oxford University Press, New York.
28. Ortoleva, P., Chen, Y., and Chen, W. (1994). Agates, geodes, concretions and orbicules: Self-organized zoning and morphology. In J.H. Kruhl, Ed., Fractals and dynamic systems in geoscience, 421 p. Springer-Verlag, Berlin.
29. Pearce, T.H. and Kolisnik, A.M. (1990) Observations of plagioclase zoning using interference imaging. Earth-Science Reviews, 29, 9-26.
30. Peitgen, H.O. and Saupe, D., Eds. (1988) The science of fractal images, 312 p. Springer-Verlag, New York.
31. Rutherford, M.J., Sigurdson, H., Carey, S., and Davis, A. (1985) The May 18, 1980, eruption of Mount St. Helens I. Melt composition and experimental phase equilibria. Journal of Geophysical Research, 90, 2929-2947.
32. Shore, M. and Fowler, A.D. (1997) Oscillatory zoning in minerals: A common phenomenon. Canadian Mineralogist, in press.
33. Simakin, A.G. (1983) A simple quantitative model for rhythmic zoning in crystals. Geokhimiya, 12, 1720-1729.
34. Sugihara, G. and May, R.M. (1990) Nonlinear forecasting as a way of distinguishing chaos from measurement error in time series. Nature, 344, 734-741.
35. 2. Journal of Metamorphic Geology, 3, 137-153.
36. Voss, R.F. (1986) Characterization and measurement of random fractals. Physica Scripta, T13, 27-32.
37. Wang, Y. and Merino, E. (1992) Dynamic model of oscillatory zoning of trace elements in calcite: Double layer, inhibition, and self-organization. Geochimica et Cosmochimica Acta, 56, 587-596.
38. _ (1995) Origin of fibrosity and banding in agates from flood basalts. American Journal of Science, 295, 49-77.
39. Wang, J.-H. and Wu, J.-P. (1995) Oscillatory zonation of minerals and self-organization in silicate solid-solution systems: a new nonlinear dynamic model. European Journal of Mineralogy, 7, 1089-1100
40. Wood, B.J. and Walther, J.V. (1983) Rates of hydrothermal reactions. Science, 222, 413-415.
41. Yardley, B.W.D., Rochelle, C.A., Barnicoat, A.C., and Lloyd, G.E. (1991) Oscillatory zoning in metamorphic minerals: an indicator of infiltration metasomatism. Mineralogical Magazine, 55, 357-365.