The density functional formalism, its applications and prospects

RO Jones, O Gunnarsson - Reviews of Modern Physics, 1989 - APS
A scheme that reduces the calculations of ground-state properties of systems of interacting
particles exactly to the solution of single-particle Hartree-type equations has obvious …

Structural properties of nanoclusters: Energetic, thermodynamic, and kinetic effects

F Baletto, R Ferrando - Reviews of modern physics, 2005 - APS
The structural properties of free nanoclusters are reviewed. Special attention is paid to the
interplay of energetic, thermodynamic, and kinetic factors in the explanation of cluster …

Molecular geometry optimization with a genetic algorithm

DM Deaven, KM Ho - Physical review letters, 1995 - APS
We present a method for reliably determining the lowest energy structure of an atomic
cluster in an arbitrary model potential. The method is based on a genetic algorithm, which …

The effect of the range of the potential on the structures of clusters

JPK Doye, DJ Wales, RS Berry - The Journal of chemical physics, 1995 - pubs.aip.org
We investigate the structures of clusters bound by the Morse potential by map** the
structure of the global minimum as a function of both cluster size and the range of the pair …

Global geometry optimization of clusters using genetic algorithms

B Hartke - The Journal of Physical Chemistry, 1993 - ACS Publications
A genetic algorithm isused to find the global minimum energy structure for Si* on an
empirical potential energy surface. Given a suitable encoding of the cluster geometry, and …

Global optimization of bimetallic cluster structures. I. Size-mismatched Ag–Cu, Ag–Ni, and Au–Cu systems

A Rapallo, G Rossi, R Ferrando, A Fortunelli… - The Journal of …, 2005 - pubs.aip.org
A genetic algorithm approach is applied to the optimization of the potential energy of a wide
range of binary metallic nanoclusters, Ag–Cu, Ag–Ni, Au–Cu, Ag–Pd, Ag–Au, and Pd–Pt …

The XtalOpt evolutionary algorithm for crystal structure prediction

Z Falls, P Avery, X Wang, KP Hilleke… - The Journal of Physical …, 2020 - ACS Publications
Significant progress has been made in the field of a priori crystal structure prediction, with a
number of recent remarkable success stories. Herein, we briefly outline the methods that …

Thermodynamics of global optimization

JPK Doye, DJ Wales - Physical review letters, 1998 - APS
Theoretical design of global optimization algorithms can profitably utilize recent statistical
mechanical treatments of potential energy surfaces (PES's). Here we analyze a particular …

Global minimum structure searches via particle swarm optimization

ST Call, DY Zubarev, AI Boldyrev - Journal of computational …, 2007 - Wiley Online Library
Novel implementation of the evolutionary approach known as particle swarm optimization
(PSO) capable of finding the global minimum of the potential energy surface of atomic …

Structure of phosphorus clusters using simulated annealing—P2 to P8

RO Jones, D Hohl - The Journal of chemical physics, 1990 - pubs.aip.org
The geometries of low‐lying isomers of phosphorus clusters P2 to P8 have been calculated
using a density functional (DF) method, combined with molecular dynamics (MD) and …