caa a22 4500 606182233 CHVBK 20210128100815.0 cr unu---uuuuu 210128e20150301xx s 000 0 eng 10.1007/s10876-014-0832-z doi (NATIONALLICENCE)springer-10.1007/s10876-014-0832-z Abundance of Nanoclusters in a Molecular Beam: The Magic Numbers for Lennard-Jones Potential [Elektronische Daten] [Kiamars Vafayi, Keivan Esfarjani] We review the theory behind abundance of experimentally observed nanoclusters produced in beams, aiming to understand their magic number behavior. It is shown how use of statistical physics, with certain assumptions, reduces the calculation of equilibrium abundance to that of partition functions (PFs) of single clusters. Methods to practically calculate these PFs are introduced. The formalism is general and potential independent, but is only applicable to equilibrium or close-to-equilibrium scenarios and the interactions for which the PFs can be accurately calculated. As an illustration, we compute the abundance of Lennard-Jones clusters at low temperatures, which reveals their experimentally observed magic number behavior. This shows that purely energetic and thermodynamic reasons can cause the magic numbers. We then briefly review kinetic approach to the problem and comment on the interplay between chemical, mechanical and thermodynamic stability of the clusters in more generality. Springer Science+Business Media New York, 2014 Keywords nationallicence Nanoclusters synthesis nationallicence Magic numbers nationallicence Nucleation nationallicence Vafayi Kiamars Department of Mathematics and Computer Science, Technische Universiteit Eindhoven, Postbus 513, 5600 MB, Eindhoven, The Netherlands aut Esfarjani Keivan Department of Mechanical and Aerospace Engineering, Rutgers University, 08854, Piscataway, NJ, USA aut Journal of Cluster Science Springer US; http://www.springer-ny.com 26/2(2015-03-01), 473-490 1040-7278 26:2<473 2015 26 10876 https://doi.org/10.1007/s10876-014-0832-z text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 review-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10876-014-0832-z text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Vafayi Kiamars Department of Mathematics and Computer Science, Technische Universiteit Eindhoven, Postbus 513, 5600 MB, Eindhoven, The Netherlands aut NATIONALLICENCE 700 1- Esfarjani Keivan Department of Mechanical and Aerospace Engineering, Rutgers University, 08854, Piscataway, NJ, USA aut NATIONALLICENCE 773 0- Journal of Cluster Science Springer US; http://www.springer-ny.com 26/2(2015-03-01), 473-490 1040-7278 26:2<473 2015 26 10876