Hollow nanostructures based on the Kirkendall effect: Design and stability considerations

In nanoscale interdiffusion and reaction, a Kirkendall void in the core of a nanocrystal has been proposed to explain the formation of hollow nanosize particles in recent literature. We present here a simple kinetic analysis of the reaction in nanoparticles, including the effect of the Gibbs–Thomson potential. A general discussion on how to form hollow nanostructures utilizing the mechanism of the Kirkendall effect is given. Furthermore, we show that a hollow nanosize particle is thermodynamically unstable; a high-temperature aging will drive thermal vacancies to the outer surface and transform the hollow nanocrystal to a solid nanocrystal.

[1]  K. Vaughn,et al.  Public Debt Controversies: An Essay in Reconciliation , 1992 .

[2]  M. Nicolet,et al.  Identification of the dominant diffusing species in silicide formation , 1974 .

[3]  J. Buchanan,et al.  The Incidence and Effects of Public Debt in the Absence of Fiscal Illusion , 1987 .

[4]  R. Barro Are Government Bonds Net Wealth? , 1974, Journal of Political Economy.

[5]  King-Ning Tu,et al.  Kinetic theory of flux-driven ripening , 2002 .

[6]  Y. Murase,et al.  Fatigue behavior of 20% cold-worked 316 stainless steel under in situ irradiation with 17 MeV protons at 60 °C , 2002 .

[7]  D. R. Frear,et al.  Electron microscopy study of interfacial reaction between eutectic SnPb and Cu/Ni(V)/Al thin film metallization , 2000 .

[8]  W. Chu,et al.  Structure and growth kinetics of Ni2Si on silicon , 1975 .

[9]  I. Lifshitz,et al.  The kinetics of precipitation from supersaturated solid solutions , 1961 .

[10]  Paul Shewmon,et al.  Diffusion in Solids , 2016 .

[11]  A. Sullivan,et al.  Microeconomics: Principles and Tools , 1997 .

[12]  Kazuaki Ano,et al.  Kirkendall void formation in eutectic SnPb solder joints on bare Cu and its effect on joint reliability , 2005 .

[13]  A. Smigelskas Zinc diffusion in alpha brass , 1947 .

[14]  Robert C. Cook,et al.  World Population Prospects , 1966 .

[15]  Gabor A. Somorjai,et al.  Formation of Hollow Nanocrystals Through the Nanoscale Kirkendall Effect , 2004, Science.

[16]  U. Gösele,et al.  Point defects, diffusion processes, and swirl defect formation in silicon , 1985 .

[17]  Christophe Detavernier,et al.  Towards implementation of a nickel silicide process for CMOS technologies , 2003 .

[18]  King-Ning Tu,et al.  Growth kinetics of planar binary diffusion couples: ’’Thin‐film case’’ versus ’’bulk cases’’ , 1982 .