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HomeDefect and Diffusion ForumDefect and Diffusion Forum Vol. 369Investigating Kirkendall Effect in Thin Films

Investigating Kirkendall Effect in Thin Films

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Abstract:

In binary systems Kirkendall shift is a well-known phenomenon. We investigated nanoscale diffusion in the framework of a recently published continuum model [Erdélyi and Schmitz, Acta. Mater. 60 (2012) 1807]. In thin films the usual vacancy creation and annihilation mechanisms, leading to the Kirkendall shift on larger scales, cannot operate in the same way. On this length-scale the characteristic distances between vacancy sinks and sources can be comparable to the dimension of the sample, causing differences in the development of the Kirkendall effect. Our group recently reported results in simulating nanoscale Kirkendall shift. In present work we show how using conventional method for velocity reconstruction used in multifoil experiments can be misleading if the distribution of vacancy sinks and sources is not uniform.

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Diffusion in Solids and Liquids XI

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Periodical:

Defect and Diffusion Forum (Volume 369)

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36-41

DOI:

https://doi.org/10.4028/www.scientific.net/DDF.369.36

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Online since:

July 2016

Authors:

János J. Tomán*, Yusuke Iguchi, Bence Gajdics

Keywords:

Diffusion, Kirkendall Effect, Nanoscale, Simulation, Sinks, Sources, Vacancy

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© 2016 Trans Tech Publications Ltd. All Rights Reserved

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[1] H. Nakajima, The Discovery and Acceptance of the Kirkendall Effect: The Result of a Short Research Career, JOM, 49 (6) (1997), pp.15-19.

DOI: 10.1007/bf02914706

[2] A.D. Smigelskas and E.O. Kirkendall, Zinc Diffusion in Alpha Brass, Trans. AIME, 171 (1947), pp.130-142.

[3] H.B. Huntington and F. Seitz, Mechanism for self-diffusion in metallic copper, Phys. Rev., 61 (1942), pp.315-325.

DOI: 10.1103/physrev.61.315

[4] L.S. Darken, Diffusion, mobility and their interrelation through free energy in binary metallic systems, Trans. AIME 175 (1948) 184.

DOI: 10.1007/s11663-010-9344-x

[5] F. Seitz, On the theory of vacancy diffusion in alloys, Phys. Rev. 74 (1948) 1513.

[6] J. Bardeen, Diffusion in binary alloys, Phys. Rev. 76 (1949) 1403.

[7] Y.A. Geguzin, M.A. Krivoglaz, Motion of Macroscopic Inclusions in Solids, Nauka, 1979. 215 (in russian).

[8] D.L. Beke, Z. Erdélyi, I.A. Szabó, Nonlinear stress effects in diffusion, Defect Diffus. Forum 264 (2007) 117.

DOI: 10.4028/www.scientific.net/ddf.264.117

[9] G.B. Stephenson, Deformation during interdiffusion, Acta Metall. Mater. 36 (1988) 2663.

[10] I. Daruka, I.A. Szabó, D.L. Beke, C. Cserháti, A.A. Kodentsov, F.J.J. van Loo, Diffusioninduced bending of thin sheet couples: theory and experiments in Ti–Zr system, Acta Mater. 44 (1996) 4981.

DOI: 10.1016/s1359-6454(96)00099-7

[11] A.M. Gusak, T.V. Zaporozhets, K.N. Tu, U. Gösele, Kinetic analysis of the instability of hollow nanoparticles, Philos. Mag. 85 (36) (2005) 4445.

DOI: 10.1080/14786430500311741

[12] G.E. Murch, A.V. Evteev, E.V. Levtheko, I.V. Belova, Recent progress in the simulation of diffusion associated with hollow and Bi-metallic nanoparticles, Diff. Fundam. 42 (2009) 1.

[13] C. Cserháti, G. Glodán, D.L. Beke, Hollow hemisphere formation by pure Kirkendall porosity, Diff. Foundam. 1 (2014) 61.

DOI: 10.4028/www.scientific.net/df.1.61

[14] P.G. Shewmon, Diffusion in Solids, McGraw-Hill Book Company, USA, (1963).

[15] J. Philibert, Atom Movements, Diffusion and Mass Transport in Solids, Les Editions de Physique, Les Ulis, France, (1991).

[16] R.A. Swalin, Thermodynamics of Solids, John Wiley & Sons, Inc., New York, (1972).

[17] J. Svoboda, F. Fischer, P. Fratzl, Diffusion in multi-component systems with no or dense sources and sinks for vacancies, Acta Mater. 50 (2002) 1369.

DOI: 10.1016/s1359-6454(01)00443-8

[18] J. Svoboda, F. Fischer, P. Fratzl, Diffusion and creep in multi-component alloys with non-ideal sources and sinks for vacancies, Acta Mater. 54 (2006) 3043.

DOI: 10.1016/j.actamat.2006.02.041

[19] T. Heumann, G. Walther, Der Kirklendall-Effekt in Silber-Gold-Legirungen im gesamtem Konzentrtionsbereich, Z. Metallkd. 48 (1957) 151.

[20] M.J.H. van Dal, M.C.L.P. Pleumeekers, A.A. Kodentsov, F.J.J. van Loo, Intrinsic diffusion and Kirkendall effect in Ni–Pd and Fe–Pd solid solutions, Acta Mater. 48 (2000) 385.

DOI: 10.1016/s1359-6454(99)00375-4

[21] J.F. Cornet, D. Calais, Etude de effect Kirkendall dapres les equations de Darken, J. Phys. Chem. Solids 33 (1972) 1675.

DOI: 10.1016/s0022-3697(72)80463-3

[22] J.F. Cornet, Complements a letude de leffect Kirkendall selon les equations de Darken, J. Phys. Chem. Solids 35 (1974) 1247.

DOI: 10.1016/s0022-3697(74)80148-4

[23] F.J.J. van Loo, G.F. Bastin, G.D. Rieck, Marker displacements as a result of diffusion in binary metal systems, Sci. Sinter. 11 (1979) 9.

[24] J. Tomán, C. Cserháti, Y. Iguchi, Zs. Jánosfalvi, Z. Erdélyi, Investigation of the role of vacancy sources and sinks on the Kirkendall-effect on the nanoscale, Thin Solid Films, Available online 8 May (2015).

DOI: 10.1016/j.tsf.2015.04.089

[25] Z. Erdélyi, G. Schmitz, Reactive diffusion and stress in spherical geometry, Acta Mater. 60 (2012) 1807.

[26] Z. Balogh, Z. Erdélyi, D.L. Beke, G.A. Langer, A. Csik, H.G. Boyen, U. Wiedwald, P. Ziemann, A. Portavoce, C. Girardeaux, Applied Physics Letters, 92, 143104 (2008).

DOI: 10.1063/1.2908220

[27] Z. Balogh, Z. Erdélyi, D.L. Beke, U. Wiedwald, H. Pfeiffer, A. Tschetschetkin, P. Ziemann, Dissolution kinetics of Si into Ge (111) substrate on the nanoscale, Thin Solid Films, Volume 519, Issue 2, 1 November 2010, Pages 952-955, ISSN 0040-6090.

DOI: 10.1016/j.tsf.2010.08.146

[28] C. Cserháti, Z. Balogh, A. Csik, G.A. Langer, Z. Erdélyi, Gy. Glodán, G.L. Katona, D.L. Beke, I. Zizak, N. Darowski, E. Dudzik, R. Feyerherm, Linear growth kinetics of nanometric silicides in Co/amorphous-Si and Co/CoSi/amorphous-Si thin films, Journal of Applied Physics, 104, 024311 (2008).

DOI: 10.1063/1.2957071

[29] B. Parditka, M. Verezhak, Z. Balogh, A. Csik, G.A. Langer, D.L. Beke, M. Ibrahim, G. Schmitz, Z. Erdélyi, Phase growth in an amorphous Si–Cu system, as shown by a combination of SNMS, XPS, XRD and APT techniques, Acta Materialia, Volume 61, Issue 19, November 2013, Pages 7173-7179.

DOI: 10.1016/j.actamat.2013.08.021

[30] Z. Balogh, M.R. Chellali, G. -H. Greiwe, G. Schmitz, Z. Erdélyi, Interface sharpening in miscible Ni/Cu multilayers studied by atom probe tomography, Applied Physics Letters, 99, 181902 (2011).

DOI: 10.1063/1.3658390