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Nucleation and growth model for {110}- and {111}-truncated nanoparticles

Published online by Cambridge University Press:  15 September 2015

Nicholas J. Jones ,
Raja Swaminathan ,
Michael E. McHenry  and
David E. Laughlin
Nicholas J. Jones*
Affiliation:
Department of Materials Science and Engineering, Carnegie Mellon University, Pittsburgh, Pennsylvania 15213, USA
Raja Swaminathan
Affiliation:
Intel Corporation, Chandler, Arizona 85226, USA
Michael E. McHenry
Affiliation:
Department of Materials Science and Engineering, Carnegie Mellon University, Pittsburgh, Pennsylvania 15213, USA
David E. Laughlin
Affiliation:
Department of Materials Science and Engineering, Carnegie Mellon University, Pittsburgh, Pennsylvania 15213, USA
*
a)Address all correspondence to this author. e-mail: nicholas.j.jones1@navy.mil
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Abstract

Nanoparticle-sized powders have seen more and more use in many of today's applications. As particle size decreases, many properties change including the ability to embed the small particles in liquids and other media. With decreasing size, however, surface energy becomes more important and can dictate the final shape of the particle. In applications based on polar molecules attaching to the nanoparticle surface, the surface morphology can become a key design parameter. A nucleation and growth model has been constructed for truncated body-centered cubic derivative materials, along with an update to previously published work on face-centered cubic materials. The model shows that for (110)- and (111)-truncations of a cube with a specified surface energy for each surface, the critical nuclei and equilibrium growth shapes are the same, supporting the theory of self-similar growth that had only been mentioned previously, but never proven. In this analysis, saddle points play an important role in determining the critical nuclei for comparison with the equilibrium growth shapes.

Keywords

nucleation and growthnanoscalesimulation
Type
Articles
Information
Journal of Materials Research , Volume 30 , Issue 20 , 28 October 2015 , pp. 3011 - 3019
Copyright
Copyright © Materials Research Society 2015 

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References

REFERENCES

McHenry, M.E. and Laughlin, D.E.: Nano-scale materials development for future magnetic applications. Acta Mater. 48, 223 (2000).CrossRefGoogle Scholar
Ohodnicki, P.R. Jr., Laughlin, D.E., McHenry, M.E., and Widom, M.: Application of classical nucleation theory to phase selection and composition of nucleated nanocrystals during crystallization of Co-rich (Co,Fe)-based amorphous precursors. Acta Mater. 58, 4804–4813 (2010).CrossRefGoogle Scholar
McNerny, K.L., Kim, Y., Laughlin, D.E., and McHenry, M.E.: Synthesis of monodisperse γ-Fe–Ni magnetic nanoparticles with tunable Curie temperatures for self-regulated hyperthermia. J. Appl. Phys. 107, 09A312 (2010).Google Scholar
Swaminathan, R., Willard, M.A., and McHenry, M.E.: Experimental observations and nucleation and growth theory of polyhedral magnetic ferrite nanoparticles synthesized using an RF plasma torch. Acta Mater. 54, 807–816 (2006).CrossRefGoogle Scholar
Son, S., Swaminathan, R., and McHenry, M.E.: Structure and magnetic properties of thermally plasma synthesized Mn and Mn–Zn ferrite nanoparticles. J. Appl. Phys. 93, 7495–7497 (2003).Google Scholar
Swaminathan, R., McHenry, M.E., Poddar, P., and Srikanth, H.: Magnetic properties of polydisperse and monodisperse NiZn ferrite nanoparticles interpreted in a surface structure model. J. Appl. Phys. 97, 10G104 (2005).CrossRefGoogle Scholar
Swaminathan, R. and McHenry, M.E., Calvin, S., Sorescu, M., and Diamandescu, L.: Surface structure model of cuboctahedrally truncated ferrite nanoparticles: Properties of nanostructured ferrites. In Proceedings of the 9th International Conference on Ferrites, San Francisco, CA, USA, Soohoo, R.F. eds.; Wiley-Blackwell, Hoboken, NJ, 2005; pp. 847–852.Google Scholar
Swaminathan, R., Nuhfer, N.T., and McHenry, M.E.: 3-dimensional morphologies of truncated ferrite nanoparticles. Microsc. Microanal. 11(Suppl. 02), 1904–1905 (2005).Google Scholar
Swaminathan, R., Woods, J., Calvin, S., Huth, J., and McHenry, M.E.: Microstructural evolution model of the sintering behavior and magnetic properties of NiZn ferrite nanoparticles. Adv. Sci. Technol. 45, 2337–2344 (2006).Google Scholar
Collier, K.N., Jones, N.J., Miller, K.J., Qin, Y., Laughlin, D.E., and McHenry, M.E.: Controlled oxidation of FeCo magnetic nanoparticles to produce faceted FeCo/ferrite nanocomposites for rf heating applications. J. Appl. Phys. 105, 07A328 (2009).Google Scholar
Jones, N.J., McNerny, K.L., Wise, A.T., Sorescu, M., McHenry, M.E., and Laughlin, D.E.: Observations of oxidation mechanisms and kinetics in facetted FeCo nanoparticles. J. Appl. Phys. 107, 09A304 (2010).Google Scholar
Habib, A.H., Ondeck, C.L., Chaudhary, P., Bockstaller, M.R., and McHenry, M.E.: Evaluation of iron-cobalt/ferrite core-shell nanoparticles for cancer thermotherapy. J. Appl. Phys. 103, 07A307 (2008).Google Scholar
Miller, K.J., Soll-Morris, H.B., Collier, K.N., Swaminathan, R., and McHenry, M.E.: Induction heating of FeCo nanoparticles for rapid RF curing of epoxy composites. J. Appl. Phys. 105, 07E714 (2009).Google Scholar
Habib, A.H., Ondeck, M.G., Miller, K.J., Swaminathan, R., and McHenry, M.E.: Novel solder-magnetic particle composites, their reflow using AC magnetic fields. IEEE Trans. Magn. 46, 2187–2190 (2010).Google Scholar
Christian, J.W.: The Theory of Transformations in Metals and Alloys, Part 1: Equilibrium and General Kinetic Theory, 2nd ed. (Pergamon Press, New York, NY, USA, 1975); p. 437.Google Scholar
Erdélyi, Z., Balogh, Z., and Beke, D.L.: Kinetic critical radius in nucleation and growth processes—Trapping effect. Acta Mater. 58(17), 5639–5645 (2010).Google Scholar
Zhang, L., Chen, L.Q., and Du, Q.: Simultaneous prediction of morphologies of a critical nucleus and an equilibrium precipitate in solids. Commun. Comput. Phys. 7, 674–682 (2010).Google Scholar
Aaronson, H.I. and Lee, J.K.: The kinetic equations of solid → solid nucleation theory and comparisons with experimental observations. In Lectures on the Theory of Phase Transformations, 2nd ed., Aaronson, H.I. ed.; The Minerals, Metals & Materials Society: Warrendale, PA, USA, 1975; pp. 178–179.Google Scholar
Johnson, C.A.: Generalization of the Gibbs–Thomson equation. Surf. Sci. 3(5), 429–444 (1965).Google Scholar
Wulff, G.: XXV. Zur Frage der Geschwindigkeit des Wachsthums und der Auflösung der Krystallflächen. Zeit. f. Krist. 34, 449 (1901).Google Scholar
Raghavan, V.: Solid State Phase Transformations (Prentice-Hall of India Private limited, Connaught Circus, New Delhi, India, 1992); pp. 60–61.Google Scholar
Mackenzie, J.K., Moore, A.J.W., and Nicholas, J.F.: Bonds broken at atomically flat crystal surfaces—I. J. Phys. Chem. Solids 23, 185–196 (1962).Google Scholar
Gradshteyn, I.S. and Ryzhik, I.M.: Table of Integrals, Series and Products, 7th ed., Jeffrey, A. and Zwillinger, D. eds.; Elsevier, Inc.: Burlington, MA, USA, 2007; p. 1079.Google Scholar
Stewart, J.: Calculus: Early Transcendentals, 5th ed. (Thomas Learning, Inc., Belmont, CA, USA, 2003); p. 954.Google Scholar
Wang, C.M., Baer, D.R., Amonette, J.E., Engelhard, M.H., Qiang, Y., and Antony, J.: Morphology and oxide shell structure of iron nanoparticles grown by sputter-gas-aggregation. Nanotechnology 18, 255603 (2007).CrossRefGoogle Scholar
Saito, Y., Mihama, K., and Uyeda, R.: Formation of ultrafine metal particles by gas-evaporation: VI. Bcc metals, Fe, V, Nb, Ta, Cr, Mo and W. Jpn. J. Appl. Phys. 19(9), 1603–1610 (1980).CrossRefGoogle Scholar
Hayashi, T., Ohno, T., Yatsuya, S., and Uyeda, R.: Formation of ultrafine metal particles by gas-evaporation technique. IV. Crystal habits of iron and Fcc metals, Al, Co, Ni, Cu, Pd, Ag, In, Au and Pb. Jpn. J. Appl. Phys. 16(5), 705–717 (1977).Google Scholar