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A Commentary on: “Reaction Kinetics in Processes of Nucleation and Growth”*

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Notes

  1. An English translation of this work can be found in Selected Works of A. N. Kolmogorov, Volume II, Probability Theory and Mathematical Statistics, ed. A. N. Shiryayev, translated from the Russian by G. Lindquist, (Kluwer Academic Publishers, Dordecht/Boston/London 1992), p. 188.

  2. Appendices A through E were deposited as ADI number 1182 with the American Society for Information Science and Technology (ASIS&T), 8720 Georgian Avenue, Silver Spring, MD 20910-3603. These appendices now appear in this newly reprinted version of the article.

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Acknowledgments

The assistance of M. Marsteller, D. Beck and M. Harvey of the Engineering and Science Library at Carnegie Mellon University in obtaining copies of Johnson’s doctoral thesis and the appendices to the article are gratefully acknowledged. M. Marsteller deserves a special note of thanks because obtaining all five appendices required a personal trip to the Library of Congress. The help of J. Harbster of the Library of Congress in creating an electronic version of the original microfiche of the appendices is greatly appreciated. A. Darbal is thanked for extracting the figures in the appendices from the electronic version. D. Moscatello is thanked for typing the text of Appendix A. Special thanks go to J. Bottles for typing the text of the remaining appendices and for typing all of the very many equations in the five appendices, leaving me only the task of making corrections.

Author information

Authors and Affiliations

  1. Professor of Materials Science and Engineering, Carnegie Mellon University, Pittsburgh, PA, 15213, USA

    Katayun Barmak

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  1. Katayun Barmak
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Correspondence to Katayun Barmak.

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*W.A. Johnson and R.F. Mehl: Trans. AIME, 1939, vol. 135, pp. 416–58.

 

 

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Fig. 16(Appendix)
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Schematic illustration of impingement in nucleation and growth processes. Area (1) all the increase is effective; area (3) none of the increase is effective; area (2) only that part of the increase (hatched area) lying outside of all other spheres is effective. The rings represent the increase in volume in time dt. [Note regarding the reproduction: This figure was modified to make the numbers more clear for the reader.]

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Fig. 17(Appendix)
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Distribution curve for Armco iron determined by Scheil and Wurst (op. cit.). The method of plotting has been changed as described in the text. [Note regarding the reproduction: This figure is reproduced from Scheil and Wurst given that the legends on the axes and the numbers on the axes could not be read in the soft copy reproduction of the microfiche of the appendices]

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Fig. 18(Appendix)
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Plane section through center of grain of transforming material

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Fig. 19(Appendix)
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Schematic representation of sphere intersections in an arbitrary spherical shell

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Barmak, K. A Commentary on: “Reaction Kinetics in Processes of Nucleation and Growth”*. Metall Mater Trans A 41, 2711–2775 (2010). https://doi.org/10.1007/s11661-010-0421-1

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