Deducing growth mechanisms for minerals from the shapes of crystal size distributions

American Journal of Science

Volumn 298, Issue 6, 1998, Pages 499-533

  Eberl, D D ^a   Drits, V A ^b   Srodon J ^c  

^a DENVER FEDERAL CENTER   (United States)

^b RUSSIAN ACADEMY OF SCIENCES   (Russian Federation)

^c INSTITUTE OF GEOLOGICAL SCIENCES   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032362906     PISSN: 00029599     EISSN: None     Source Type: Journal    
DOI: 10.2475/ajs.298.6.499     Document Type: Article

References (59)

1. Anderson, T. F., and Chai, B. H. T., 1973, Oxygen isotope exchange between calcite and water under hydrothermal conditions, in Hofmann, A. W., Giletti, B. J., Yoder, H. S., Jr., and Yund, R. A., editors, Geochemical Transport and Kinetics: Carnegie Institute of Washington Publication 634, p. 219-227.
2. 2O: High Temperatures-High Pressures, v. 6, p. 675-685.
3. _ 1982, Ostwald Ripening: The case of calcite and mica: Estudios Geologie, v. 38, p. 185-198.
4. Berner, R. A., 1981, Kinetics of weathering and diagenesis, in Lasaga, A. C., and Kirkpatrick, R. J., editors, Kinetics of Geochemical Processes: Mineralogical Society of America, Reviews in Mineralogy, v. 8, p. 111-134.
5. Carlson, W. D., Denison, C., and Ketcham, R. A., 1995, Controls on the nucleation and growth of porphyroblasts: kinetics from natural textures and numerical models: Geological Journal, v. 30, p. 207-225.
6. Cashman, K. V., and Ferry, J. M., 1988, Crystal size distribution (CSD) in rocks and the kinetics and dynamics of crystallization III. Metamorphic crystallization: Contributions to Mineralogy and Petrology, v. 99, p. 401-415.
7. Cashman, K. V., and Marsh, B. D., 1988, Crystal size distribution (CSD) in rocks and the kinetics and dynamics of crystallization II. Makaopuhi lava lake: Contributions to Mineralogy and Petrology, v. 99, p. 292-305.
8. Chai, B. H. T., 1973, Mass transfer of calcite during hydrothermal recrystatlization, in Hofmann, A. W., Giletti, B. J., Yoder, H. S., Jr., and Yund, R. A., editors, Geochemical Transport and Kinetics: Carnegie Institute of Washington Publication 634, p. 205-218.
9. _ ms, 1975, The kinetics and mass transfer of calcite during hydrothermal recrystallization process: Ph.D. thesis, Yale University, 138 p.
10. Colbeck, S. C., 1986, Statistics of coarsening in water-saturated snow: Acta Metallurgica, v. 34, p. 347-352.
11. _ 1987, Theory of particle coarsening with a log-normal distribution: Acta Metallurgica, v. 35, p. 1583-1588.
12. Dowty, E., 1980, Crystal growth and nucleation theory and the numerical simulation of igneous crystallization, in Hargraves, R. B. editor, The Physics of Magmatic Processes: Princeton, Princeton University Press, p. 419-485.
13. Drits, V. A., Eberl, D. D., and Środoń, J., 1998, XRD measurement of mean thickness, thickness distribution and strain for illite and illite/smectite crystallites by the Bertaut-Warren-Averbach technique: Clays and Clay Minerals, v. 46, p. 461-475.
14. Eberl, D. D., Nüesch, R., Sucha, V., and Tsipursky, S., 1998, Measurement of fundamental illite particle thicknesses by X-ray diffraction using PVP-10 intercalation: Clays and Clay Minerals, v. 46, p. 89-97.
15. Eberl, D. D., and Środoń, J., 1988, Ostwald ripening and interparticle-diffraction effects for illite crystals: American Mineralogist, v. 73, p. 1335-1345.
16. Eberl, D. D., Środoń, J., Kralik, M., Taylor, B. E., and Peterman, Z. E., 1990, Ostwald ripening of clays and metamorphic minerals: Science, v. 248, p. 474-477.
17. Eberl, D. D., Środoń, J., Lee, M., Nadeau, P. H., and Northrop, H. R., 1987, Sericite from the Silverton caldera, Colorado: correlation among structure, composition, origin, and particle thickness: American Mineralogist, v. 72, p. 914-934.
18. Exner, H. E., and Lukas, H. L., 1971, The experimental verification of the stationary Wagner-Lifshitz distribution of coarse particles: Metallography, v. 4, p. 325-338.
19. Frost, H. J., and Thompson, C. V., 1987, The effect of nucleation conditions on the topology and geometry of two-dimensional grain structures: Acta Metallurgica, v. 35, p. 529-540.
20. Gabis, V., 1963, Étude minéralogique et géochimique de la série sédimentaire oligocène du Velay. Bulletin de la Société française de Minéralogie et de Cristallographie, v. 86, p. 315-354.
21. Garside, J., Phillips, V. R., and Shah, M. B., 1976, On size-dependent crystal growth: Industrial & Engineering Chemistry Fundamentals, v. 15, p. 230-233.
22. Gregg, J. M., Howard, S. A., and Mazzullo, S. J., 1992, Early diagenetic recrystallization of Holocene (<3000 years old) peritidal dolomites, Ambergris Cay, Belize: Sedimentology, v. 39, p. 143-160.
23. Inoue, A., and Kitagawa, R., 1994, Morphological characteristics of illitic clay minerals from a hydrothermal system: American Mineralogist, v. 79, p. 700-711.
24. Inoue, A., Velde, B., Meunier, A., and Touchard, G., 1988, Mechanism of illite formation during smectite to illite conversion in a hydrothermal system: American Mineralogist, v. 73, 1325-1334.
25. Jancic, S. J., Van Rosmalen, G. M., and Peeters, J. P., 1984, Growth dispersion in nearly monosize crystal populations, in Jancic, S. J. and dejong, E. J., editors, Proceedings 9th Symposium on Industrial Crystallization, Process Technology Proceedings, 2: New York, Elsevier, p. 43-49.
26. Joesten, R. L., 1991, Kinetics of coarsening and diffusion-controlled mineral growth, in Kerrick, D. M., editor, Contact Metamorphism: Mineralogical Society of America, Reviews in Mineralogy, p. 507-582.
27. Kapteyn, J. C., 1903, Skew Frequency Curves in Biology and Statistics: Groningen, Noordhoff, Astronomical Laboratory, 69 p.
28. Kerrick, D. M., Lasaga, A. C., and Raebum, S. P., 1991, Kinetics of heterogeneous reactions, in Kerrick, D. M., editor, Contact Metamorphism: Mineralogical Society of America, Reviews in Mineralogy, p. 583-671.
29. Kirkpatrick, R. J., 1981, Kinetics of crystallization of igneous rocks, in Lasaga, A. C., and Kirkpatrick, R. J., editors, Kinetics of Geochemical Processes: Mineralogical Society of America, Reviews in Mineralogy, v. 8, p. 321-398.
30. Koch, A. L., 1966, The logarithm in biology I. Mechanisms generating the lognormal distribution exactly: Journal of Theoretical Biology, v. 12, p. 251-268.
31. _ 1969, The logarithm in biology II. Distributions simulating the lognormal: Journal of Theoretical Biology, v. 23, p. 276-290.
32. Kretz, R., 1966, Grain-size distribution for certain metamorphic minerals in relation to nucleation and growth: Journal of Geololgy, v. 74, p. 147-173.
33. Krumbein, W. C., and Graybill, F. A., 1965, An Introduction to Statistical Models in Geology: New York, McGraw-Hill Book Company, 475 p.
34. Larson, M. A., White, E. T., Ramanarayanan, K. A., and Berglund, K. A., 1985, Growth rate dispersion in MSMPR crystallizers: AlChE Journal, v. 31, p. 90-94.
35. Lasaga, A. C., 1981, Rate laws of chemical reactions, in Lasaga, A. C., and Kirkpatrick, R. J., editors, Kinetics of Geochemical Processes: Mineralogical Society of America, Reviews in Mineralogy, v. 8, p. 1-68.
36. _ 1982, Crystal growth from silicate melts: towards a master equation in crystal growth: American Journal of Science, v. 282, p. 1264-1288.
37. Lifshitz, I. M., and Slyozov, V. V., 1961, The kinetics of precipitation from supersaturated solid solutions: Journal of Physics and Chemistry of Solids, v. 19, p. 35-50.
38. Loveland, R. P., and Trivelli, P. H., 1947, Analysis of particle formation and growth by size-frequency determinations of the silver halide precipitations of photographic emulsions: Journal of Physical and Colloid Chemistry, v. 51, p. 1004-1027.
39. Mahin, K. W., Hanson, K., Morris, J. W. Jr., 1980, Comparative analysis of the cellular and Johnson-Mehl microstructures through computer simulation: Acta Metallurgica, v. 28, p. 443-453.
40. Markworth, A. L., 1970, The kinetic behavior of precipitate particles under Ostwald ripening conditions: Metallography, v. 3, p. 197-208.
41. Marsh, B. D., 1988, Crystal size distribution (CSD) in rocks and the kinetics and dynamics of crystallization I. Theory: Contributions to Mineralogy and Petrology, v. 99, p. 277-291.
42. Miyazaki, K., 1991, Ostwald ripening of garnet in high P/T metamorphic rocks: Contributions to Mineralogy and Petrology, v. 108, p. 118-128.
43. Morse, J. W., and Wang, Q., 1996, Factors influencing the grain size distribution of authigenic minerals: American Journal of Science, v. 296, p. 989-1003.
44. Mullin, J. W., 1974, Bulk crystallization, in Pamplin, B. R., editor, Crystal Growth (2nd edition): New York, Pergamon Press, p. 289-335.
45. Nadeau, P. H., Wilson, M. J., McHardy, W. J., and Tait, J. M., 1984, Interstratified clays as fundamental particles: Science, v. 225, p. 923-925.
46. Nielson, A. E., 1964, Kinetics of Precipitation: New York, Pergamon, 151 p.
47. Nordeng, S. H., and Sibley, D. F., 1996, A crystal growth equation for ancient dolomites: Evidence for millimeter-scale flux-limited growth: Journal of Sedimentary Research, v. 66, p. 477-481.
48. Ohara, M., and Reid, R. C., 1973, Modeling Crystal Growth Rates from Solution: Englewood Cliffs, New Jersey, Prentice-Hall, 272 p.
49. Randolph, A. D., and White, E. T., 1977, Modeling size dispersion in the prediction of crystal-size distribution: Chemical Engineering Science, v. 32, p. 1067-1076.
50. Randolph, A. D., and Larson, M. A., 1988, Theory of Particulate Processes, second edition: New York, Academic Press, 369 p.
51. Söhel, O., and Garside, J., 1992, Precipitation, Basic Principles and Industrial Applications: Boston, Butterworth-Heinemann Ltd., 391 p.
52. Środoń, J., Elsass, F., McHardy, W. J., and Morgan, D. J., 1992, Chemistry of illite/smectite inferred from TEM measurements of fundamental particles: Clay Minerals, v. 27, p. 137-158.
53. Stanton, R. L., and Gorman, H., 1968, A phenomenological study of grain boundary migration in some common sulfides: Economic Geology, v. 63, p. 907-923.
54. Vaz, M. F., and Fortes, M. A., 1988, Grain size distribution: the lognormal and the gamma distribution functions: Scripta Metallurgica, v. 22, p. 35-40.
55. Viczián, I., 1997, Hungarian investigations on the "Zempleni" illite: Clays and Clay Minerals, v. 45, p. 114-115.
56. Wagner, C., 1961, Theorie der Alterung von Neiderschlägen durch Umlösen (Ostwald Reifung): Zeitschrift fuer Elektrochemie, v. 65, p. 581-591.
57. Walton, A. G., 1967, The Formation and Properties of Precipitates: New York, Interscience Publishers, 232 p.
58. Weaire, D., Kermode, J. P., and Wejchert, J., 1986, On the distribution of cell areas in a Voronoi network: Philosophical Magazine B, v. 53, p. L101-L105.
59. White, E. T., and Wright, P. G., 1971, Magnitude of size dispersion effects ir crystallization, in Larson, M. A., editor, Crystallization from solution: factors influencing size distribution: New York, American Institute of Chemical Engineers, p. 81-87.