Kinetic Monte Carlo Simulations for Nanocrystal Shape Control
Carlos L. Bassani a, Michael Engel a
a Institute for Multiscale Simulation, FAU Erlangen-Nürnberg
Proceedings of MATSUS Fall 2025 Conference (MATSUSFall25)
B1 Emergent Properties in Nanomaterials: Synthesis, Phenomena, and Applications - #EmergentNano
València, Spain, 2025 October 20th - 24th
Organizers: Dmitry Baranov, Katherine Shulenberger and James Utterback
Invited Speaker, Carlos L. Bassani, presentation 139
Publication date: 21st July 2025

The precision of nanocrystal shapes is crucial to tailor the functionalities of nanomaterials. Traditional molecular dynamic simulations are computationally too expensive to unveil the multiscale nature of nanocrystal synthesis from the potential energy of an atom to the mesoscales of a nanocrystal composed of tens of millions of atoms. To overcome this issue, we implement rejection-free kinetic Monte Carlo simulations using the semi-Gibbs ensemble sampling solid-to-liquid energy variations to grow and dissolve atoms at the nanocrystal surface. This allows the simulation of realistically sized nanocrystals coupled with the energetics of atoms. We discuss the growth of symmetry-preserving shapes, such as cubes, octahedra, rhombic dodecahedra, and their truncations. We show the importance of surface site kinetics associated with adatom nucleation on facets of different crystallographic directions, leading to the entrapment of nanocrystal shapes in metastable equilibrium. We then discuss the spontaneous symmetry breaking of shapes due to the dynamics of surface defects. The multiscale simulations reproduce the emergence of nanocrystal shapes inaccessible to other computational tools.

CLB acknowledges a Humboldt Research Fellowship for postdoctoral researchers of the Alexander von Humboldt Foundation and an EAM Starting Grant (EAM-SG23-1) of the Competence Center Engineering of Advanced Materials at Friedrich-Alexander-Universität Erlangen-Nürnberg. ME acknowledges support by Deutsche Forschungsgemeinschaft (DFG) under Project-IDs 416229255 (SFB 1411) and 542350250. This research was advanced through discussions during the workshop Nanoparticle Assemblies: A New Form of Matter with Classical Structure and Quantum Function hosted by the Kavli Institute for Theoretical Physics at the University of California, Santa Barbara, supported by the National Science Foundation under Grant No. NSF PHY-1748958. HPC resources provided by the Erlangen National High Performance Computing Center (NHR@FAU) under the NHR project b168dc are gratefully acknowledged. NHR funding is provided by federal and Bavarian state authorities. NHR@FAU hardware is partially funded by DFG under Project-ID 440719683.

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