2017/01/02 by Carlos Barrón-Romero, Barrón-Romero, Carlos
Biochemistry, Genetics and Molecular Biology · Earth and Planetary Sciences · Materials Science · #65Y05 65K05 #Advanced biosensing and bioanalysis techniques #Computational Engineering #FOS: Computer and information sciences #Finance #G.1.0 #Machine Learning in Materials Science #Nanocluster Synthesis and Applications #Quantum Dots Synthesis And Properties #and Science (cs.CE) #nanoparticles nucleation surface interactions
paper · pdf · doi:10.48550/arxiv.1701.00557
openalex publication_date 2017/01/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A review of the properties that bond the particles under Lennard Jones\nPotential allow to states properties and conditions for building evolutive\nalgorithms using the CB lattice with other different lattices. The new lattice\nis called CB lattice and it is based on small cubes. A set of propositions\nstates convergence and optimal conditions over the CB lattice for an\nevolutionary algorithm. The evolutionary algorithm is a reload version of\nprevious genetic algorithms based in phenotypes. The novelty using CB lattice,\ntogether with the other lattices, and ad-hoc cluster segmentation and\nenumeration, is to allow the combination of genotype (DNA coding for cluster\nusing their particle's number) and phenotype (geometrical shapes using\nparticle's coordinates in 3D). A parallel version of an evolutionary algorithm\nfor determining the global optimality is depicted. The results presented are\nfrom a standalone program for a personal computer of the evolutionary\nalgorithm, which can estimate all putative optimal Lennard Jones Clusters from\n13 to 1612 particles. The novelty are the theoretical results for the\nevolutionary algorithm's efficiency, the strategies with phenotype or genotype,\nand the classification of the clusters based in an ad-hoc geometric algorithm\nfor segmenting a cluster into its nucleus and layers. Also, the standalone\nprogram is not only capable to replicate the optimal Lennard Jones clusters in\nThe Cambridge Cluster Database (CCD), but to find new ones.\n