scholarly journals Nanoparticles: from wulff to winterbottom, plasmonics & catalysis

2014 ◽  
Vol 70 (a1) ◽  
pp. C738-C738
Author(s):  
Laurence Marks

Understanding the structure of nanoparticles is a problem with over a century of history from the first analysis by Wulff which was only proved during WWII by von Laue with the extension for supported particles on a flat substrate by Winterbottom. All these analyses have focused on single crystals, but often nanoparticles have different structures as first shown by of Ino and Ogawa who published just ahead of Allpress and Sanders. These structures, called multiply-twinned particles or MTPs remained incompletely understood until a variant of a Wulff construction was shown to explain their equilibrium shapes. Given the growth of nanotechnology in the last decades, significant advances in synthesis and characterization methods have been made so it is time to return to some of these topics and look further. It appears there is still a fair amount of science left to be done, ranging from Wulff shapes for alloys to understanding the growth shapes of nanoparticles based upon a kinetic variant of the modified Wulff construction. Some recent results such as finite size effects for alloys and single-phase nanoparticles as well as corner rounding and how these couple to the chemical potential and substrate interfacial energy, as well as how these relate to applied topics such as nanoplasmonics and face-selective catalysis will be described.

2008 ◽  
Vol 78 (4) ◽  
Author(s):  
D. Ebert ◽  
K. G. Klimenko ◽  
A. V. Tyukov ◽  
V. Ch. Zhukovsky

2020 ◽  
Vol 8 (1) ◽  
Author(s):  
A Gorsky ◽  
O Valba

Abstract In this article, we show numerically the strong finite-size effects in exponential random graphs. Particularly, for the two-star model above the critical value of the chemical potential for triplets a ground state is a star-like graph with the finite set of hubs at network density $p<0.5$ or as the single cluster at $p>0.5$. We find that there exists the critical value of number of nodes $N^{*}(p)$ when the ground state undergoes clear-cut crossover. At $N>N^{*}(p),$ the network flows via a cluster evaporation to the state involving the small star in the Erdős–Rényi environment. The similar evaporation of the cluster takes place at $N>N^{*}(p)$ in the Strauss model. We suggest that the entropic trap mechanism is relevant for microscopic mechanism behind the crossover regime.


2008 ◽  
Vol 41 (3) ◽  
pp. 554-562 ◽  
Author(s):  
Benjamin Gilbert

The pair distribution function (PDF) method is a powerful approach for the analysis of the structure of nanoparticles. An important approximation used in nanoparticle PDF simulations is the incorporation of a form factor describing nanoparticle size and shape. The precise effect of the form factor on the PDF is determined by both particle shape and structure if these characteristics are both anisotropic and correlated. The correct incorporation of finite size effects is important for distinguishing and quantifying the structural consequences of small particle size in nanomaterials.


1997 ◽  
Vol 9 (2) ◽  
pp. 409-412 ◽  
Author(s):  
Samson A. Jenekhe ◽  
Xuejun Zhang ◽  
X. Linda Chen ◽  
Vi-En Choong ◽  
Yongli Gao ◽  
...  

2009 ◽  
Vol 2009 (02) ◽  
pp. P02063 ◽  
Author(s):  
Bernard Nienhuis ◽  
Massimo Campostrini ◽  
Pasquale Calabrese

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