2011
DOI: 10.1021/jp108041q
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Schottky Defects in Nanoparticles

Abstract: Vacancies play a major role in the electrical and thermal transport as well as the mechanical behavior of materials. To understand the processes occurring in nanomaterials during heat treatment and mechanical deformation, the size effects on the vacancy formation energy and entropy have to be considered. As these material properties are hardly measurable experimentally, particularly in nanoparticles, a theoretical model calculating the size-dependent vacancy formation energy and entropy has been developed in t… Show more

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Cited by 49 publications
(41 citation statements)
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“…This model is similar to one developed by Guisbiers [38], except that D is in the numerator, rather than the denominator. For these temperature profiles, we choose T = 600K to fit all three parameters, a e , α e , and β e , then fix β e for the lower temperatures and determine the best fit for the other ones.…”
Section: Resultsmentioning
confidence: 99%
“…This model is similar to one developed by Guisbiers [38], except that D is in the numerator, rather than the denominator. For these temperature profiles, we choose T = 600K to fit all three parameters, a e , α e , and β e , then fix β e for the lower temperatures and determine the best fit for the other ones.…”
Section: Resultsmentioning
confidence: 99%
“…[16,17] Die Leerstellenkonzentration innerhalb von Nanokristallen ist bedingt durch die kurzen Diffusionswege und die damit verbundene ausgeprägte Selbstreinigung allerdings äußerst gering. [18][19][20] [21,23] Die Bestimmung der Aktivierungsenergie für den Kationenaustausch der Systeme (1) und (2) [22,24] Entsprechende temperaturabhängige Messungen ergaben für alle PbSe-Proben eine Aktivierungsenergie von 43-48 kJ mol À1 (Abbildung 4b), was mit den Daten aus der Auswertung der Reaktionsgeschwindigkeitskonstanten sehr gut übereinstimmt.…”
Section: Angewandte Zuschriftenunclassified
“…in nanocrystals. [18][19][20] Thus,ad iffusion via vacancies is not probable.F urthermore,asolid-state reaction by vacancy creation would require activation energies in the 10 2 kJ mol À1 regime,w hereas the activation energies of an exchange without vacancy creation are at least an order of magnitude smaller. [21,23] Because of this difference,the estimation of the activation energies for the cation exchange Reactions (1) and (2) allows the explanation of the diffusion and exchange mechanisms.…”
mentioning
confidence: 99%