Abstract
Crystal-size in crystalline rocks is a fundamental measure of growth rate and age. And if nucleation spawns crystals over a span of time, a broad range of crystal sizes is possible during crystallization. A population balance based on the number density of crystals of each size generally predicts a log-linear distribution with increasing size. The negative slope of such a distribution is a measure of the product of overall population growth rate and mean age and the zero size intercept is nucleation density. Crystal size distributions (CSDs) observed for many lavas are smooth and regular, if not actually linear, when so plotted and can be interpreted using the theory of CSDs developed in chemical engineering by Randolph and Larson (1971). Nucleation density, nucleation and growth rates, and orders of kinetic reactions can be estimated from such data, and physical processes affecting the CSD (e.g. crystal fractionation and accumulation, mixing of populations, annealing in metamorphic and plutonic rocks, and nuclei destruction) can be gauged through analytical modeling. CSD theory provides a formalism for the macroscopic study of kinetic and physical processes affecting crystallization, within which the explicit affect of chemical and physical processes on the CSD can be analytically tested. It is a means by which petrographic information can be quantitatively linked to the kinetics of crystallization, and on these grounds CSDs furnish essential information supplemental to laboratory kinetic studies. In this three part series of papers, Part I provides the general CSD theory in a geological context, while applications to igneous and metamorphic rocks are given, respectively, in Parts II and III.
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References
Bagnold RA (1973) The physics of blown sand and desert dunes. Chapman and Hall, London, 295 pp
Berglund KA, Kaufman EL, Larson MA (1983) Growth of contact nuclei of potassium nitrate. AICHE J 29:867–873
Brandeis G, Jaupart C (1987) The kinetics of nucleation and crystal growth and scaling laws for magmatic crystallization. Contrib Mineral Petrol 96:24–34
Berglund KA, Larson MA (1984) Modeling of growth rate dispersion of citric acid monohydrate in continuous crystallizers. AICHE J 30:280–287
Cashman KV, Ferry JM (1988) Crystal size distribution (CSD) in rocks and the kinetics and dynamics of crystallization III. Metamorphic crystallization. Contrib Mineral Petrol (in press)
Cashman KV, Marsh BD (1988) Crystal size distribution (CSD) in rocks and the kinetics and dynamics of crystallization II. Makaopuhi lava lake. Contrib Mineral Petrol 99:292–305
Dowty E (1980) Crystal growth and nucleation theory and the numerical simulation of igneous crystallization. In: Hargraves RB (ed.) The Physics of Magmatic Processes, Princeton, pp 419–485
Fisher RV, Schminke HU (1984) Pyroclastic rocks. Springer, Berlin, Heidelberg, New York, 472 pp
Gray NH (1970) Crystal growth and nucleation in two large diabase dikes. Can J Earth Sci 7:366–375
Jancic S, Garside J (1976) A new technique for accurate crystal size distribution analysis in an MSMPR crystallizer. In: Mullin JF (ed) Industrial Crystallization. Plenum Press, New York, pp 363–374
Janse EH, de Jong EJ (1976) The occurrence of growth dispersion and its consequences. In: Mullin JW (ed) Industrial Crystallization. Plenum Press, New York, pp 145–154
Jurewicz SR, Watson EB (1985) The distribution of partial melt in a granitic system: The application of liquid phase sintering theory. Geochim Cosmochim Acta 49:1109–1121
Kirkpatrick RJ (1975) Crystal growth from a melt —A review. Am Mineral 60:798–814
Kirkpatrick RJ (1977) Nucleation and growth of plagioclase, Mahaopuhi and Alae lava lakes, Kilauea volcano, Hawaii. Geol Soc Am Bull 88:78–84
Kirkpatrick RJ (1981) Kinetics of crystallization in igneous rocks. In: Lasaga AC, Kirkpatrick RJ (eds) Kinetics of Geochemical Processes. Reviews in Mineralogy, Mineral Soc Am 8:321–398
Kirkpatrick RJ, Robinson GR, Hayes JF (1976) Kinetics of crystal growth from silicate melts: anorthite and diopside. J Geophys Res. 81:5715–5720
Krumbein WC, Pettijohn FJ (1938) Manual of sedimentary petrography. Appleton-Century Co., New York, 549 pp
Kuczynski GC (1980) Sintering Processes. Mat Sci Res Vol 13, 251 pp
Lane AC (1902) Studies of the grain of igneous intrusions. Geol Soc Am Bull 14:369–384
Larson MA, White ET, Ramanarayanan KA, Berglund KA (1985) Growth rate dispersion in MSMPR crystallizers. AICHE J 31:90–94
Larson MA, Randolph AD (1969) Size distribution analysis in continuous crystallization. In: Palermo JA, Larson MA (eds) AICHE Chem Eng Progr Sym Ser, no 95, 65:1–13
Lasaga AC (1982) Crystal growth from silicate melts: towards a master equation in crystal growth. Am Jour Sci 282:1264–1288
Maaløe S, Hansen B (1982) Olivine phenocrysts of Hawaiian olivine tholeiite and oceanite. Contrib Mineral Petrol 81:203–211
Marsh BD, Maxey MR (1985) On the distribution of crystals in convecting magma. J Volcanol Geotherm Res 24:95–150
Masuda Y, Watanabe R (1980) Ostwald ripening processes in the sintering of metal powders. In: Kuczynski GC (ed) Sintering Processes, Mat Sci Res Vol 13, pp 3–21
McNeil TJ, Weed DR, Estrin J (1978) A note on modeling laboratory batch crystallizations. AICHE J 24:728–731
Mullin JW (1974) Bulk crystallization. In: Crystal growth (2nd ed), Pamplin BR (ed) Pergamon Press, Oxford New York pp 289–335
O'Dell FP, Rousseau RW (1978) Magma density and dominant size for size dependent crystal growth. AICHE J 24:238–741
Randolph AD, Larson MA (1971) Theory of particulate processes. Academic Press, New York, 251 pp
Randolph AD, White ET (1977) Modeling size dispersion in prediction of crystal size distribution. Chem Eng Sci 32:1067–1081
Udden JA (1898) Mechanical composition of wind deposits. Augustana Library Pub 1:69
Walker D, Jurewicz S, Watson EB (1985) Experimental observation of transition of an isothermal transition from orthocumulus to adcumulus texture (abs) Eos 66:362
Wey JS, Estrin J (1973) Modeling the batch crystallization process. The icebrine system. Ind Eng Chem Proc Design Develop 12:236–248
White ET, Wright PG (1971) Magnitude of size dispersion effects in crystallization. Chem Eng Prog Sympos Ser 67:81–87
Winkler HGF (1949) Crystallization of basaltic magma as recorded by variation of crystal-size in dikes. Mineral Mag 28:557–574
Yalin MS (1977) Mechanics of sediment transport. Pergamon, Oxford New York 295 pp
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Marsh, B.D. Crystal size distribution (CSD) in rocks and the kinetics and dynamics of crystallization. Contr. Mineral. and Petrol. 99, 277–291 (1988). https://doi.org/10.1007/BF00375362
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DOI: https://doi.org/10.1007/BF00375362