Magic-Size Equilibrium Shapes of Nanoscale Pb Inclusions in Al

Dahmen, U.; Xiao, S.Q.; Paciornik, Sidnei; Johnson, E.; Johansen, Å.

doi:10.1103/physrevlett.78.471

Cited by 99 publications

(56 citation statements)

References 21 publications

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“…For small inclusions also of the strain energy exerted by the matrix may become appreciable, in addition to the contribution of the interfacial energy. Striking examples of the effect of residual strain is the occurrence of "magic" sizes for Pb inclusions in an Al matrix [1] and the presence of solid noble gas inclusions at temperatures substantially above the triple point of these gases [2,3]. Another example showing the strong influence of interfacial and strain energy on small inclusions can be found in the more classical precipitation sequence(s) in Al alloys e.g.…”

Section: Introductionmentioning

confidence: 99%

In-situ TEM analysis of the reduction of nanometre-sized Mn3O4 precipitates in a metal matrix

Kooi

Hosson

2001

Acta Materialia

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In-situ TEM analysis of the reduction of nanometre-sized Mn3O4 precipitates in a metal matrix Kooi, B.J.; de Hosson, J.T.M. Take-down policy If you believe that this document breaches copyright please contact us providing details, and we will remove access to the work immediately and investigate your claim.Downloaded from the University of Groningen/UMCG research database (Pure): http://www.rug.nl/research/portal. For technical reasons the number of authors shown on this cover page is limited to 10 maximum. Abstract-The objective of the present work is the in-situ study of the transformation of small oxide precipitates in a metal matrix by conventional and high-resolution transmission electron microscopy (HRTEM). As an example the reduction of Mn 3 O 4 into MnO for nano-sized oxide precipitates in a silver matrix was studied in detail. A convenient method for monitoring the reduction process is shown for a large number of precipitates simultaneously. It is based on two-beam dark-field images showing distinct Moiré patterns for the MnO and the various types of Mn 3 O 4 precipitates embedded within an Ag matrix. A controlling factor of the transformation kinetics appeared to be the rate in which the system can relax the strains due to the accompanying volume reduction of the precipitates. Other interesting aspects of the Mn 3 O 4 to MnO transformation scrutinized and explained were the shape change of the precipitates upon reduction and the fact that mixed Mn 3 O 4 /MnO precipitates were only detected within a small temperature/time interval. Ostwald ripening of the MnO precipitates was observed as well.

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Section: Introductionmentioning

confidence: 99%

In-situ TEM analysis of the reduction of nanometre-sized Mn3O4 precipitates in a metal matrix

Kooi

Hosson

2001

Acta Materialia

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“…Since all inclusions are parallel to the matrix lattice but isolated from each other by the limited solid solubility, the Al matrix acts as an alignment field and an isolating medium. In the nanoscale size regime, solid Pb inclusions display magic size behavior [3], and their equilibrium shape is affected by the edge energy of the faceted shapes [4]. Solid inclusions at grain boundaries were found to adopt compound shapes that depend on the crystallographic characteristics of the grain boundary [5].…”

Section: Introductionmentioning

confidence: 99%

Equilibrium shape and interface roughening of small liquid Pb inclusions in solid Al

et al. 2001

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The shape of liquid Pb inclusions embedded in a solid Al matrix was investigated at temperatures between 300 and 500°C using in-situ electron microscopy. Inclusion shapes in the size range from a few nanometers to about 150 nanometers were found to depend on size, temperature and thermal history. During isothermal annealing after melting, small inclusions rounded off while larger inclusions remained faceted until the temperature was raised to about 500°C. During subsequent cooling, inclusions refaceted, although less strongly than during heating. The shape hysteresis between heating and cooling cycles was found to be due to the barrier of ledge nucleation necessary to advance the faceted interfaces. It is shown that this kinetic barrier can explain the observed dependence on size and temperature, and that the {111} interface undergoes a roughening transition at about 550°C. Even under conditions of kinetic limitation it was possible to measure local equilibrium by modeling kinetically limited inclusions as a droplet in a crevice. For this type of measurement, the hysteresis between heating and cooling cycles disappeared, and the true equilibrium shape could be derived. The anisotropy of interfacial energy was shown to be significantly smaller than previously reported, and at about 2 %, similar to the anisotropy of the surface energy for fcc metals.From the width of facets on the equilibrium shape, the step energy was determined to be at 350°C. ε = 1.9⋅10 -11 J / m 1 9/29/00

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“…Experiments suggest that Pb precipitates in the cubic matrix with a cube-on-cube orientation relationship. 34 The Pb/Al interface has also been investigated in a recent computer simulation. 35 An epitaxial relationship was predicted with no rotation between the two lattices.…”

Section: B Pb Adsorption On the Al(111) Surfacementioning

confidence: 99%

Aperiodic and modulated Pb thin films on fivefold icosahedral Al-Cu-Fe and Al(111): Tailoring the structure of Pb

et al. 2009

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We report on the growth of Pb thin films deposited either on the Al-rich fivefold surface of the icosahedral AlCu-Fe quasicrystal or on the (111) surface of fcc Al. On the quasicrystalline substrate, the diffusion length of Pb adatoms is short due to heterogeneous nucleation that enforces a quasiperiodic structure in the monolayer. On the Al(111) substrate, the mobility of Pb adatoms is high and the interaction with the substrate is flatter, leading to the formation of a (√31×√31)R8.95° higher-order commensurate structure. This moiré structure propagates up to the highest coverages investigated. Disciplines Condensed Matter Physics | Metallurgy CommentsThis article is from Physical Review B 79 (2009) We report on the growth of Pb thin films deposited either on the Al-rich fivefold surface of the icosahedral Al-Cu-Fe quasicrystal or on the ͑111͒ surface of fcc Al. On the quasicrystalline substrate, the diffusion length of Pb adatoms is short due to heterogeneous nucleation that enforces a quasiperiodic structure in the monolayer. On the Al͑111͒ substrate, the mobility of Pb adatoms is high and the interaction with the substrate is flatter, leading to the formation of a ͑ͱ31ϫ ͱ 31͒R8.95°higher-order commensurate structure. This moiré structure propagates up to the highest coverages investigated.

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Magic-Size Equilibrium Shapes of Nanoscale Pb Inclusions in Al

Cited by 99 publications

References 21 publications

In-situ TEM analysis of the reduction of nanometre-sized Mn3O4 precipitates in a metal matrix

In-situ TEM analysis of the reduction of nanometre-sized Mn3O4 precipitates in a metal matrix

Equilibrium shape and interface roughening of small liquid Pb inclusions in solid Al

Aperiodic and modulated Pb thin films on fivefold icosahedral Al-Cu-Fe and Al(111): Tailoring the structure of Pb

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