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Related Concept Videos

Local Maximum and Minimum Values01:31

Local Maximum and Minimum Values

In multivariable calculus, a function of two variables can exhibit local maximum or minimum values at certain points on its surface. A local maximum occurs when the function's value at a point is greater than at all nearby points, while a local minimum occurs when the function’s value is less than at all nearby locations. These points are referred to as local extrema and are of central importance in optimization problems.Local extrema are found at critical points, where the surface becomes...
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Lagrange Multipliers: Two Constraints

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Cluster Sampling Method01:20

Cluster Sampling Method

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Related Experiment Video

Updated: Jun 21, 2026

Computation of Atmospheric Concentrations of Molecular Clusters from ab initio Thermochemistry
12:11

Computation of Atmospheric Concentrations of Molecular Clusters from ab initio Thermochemistry

Published on: April 8, 2020

"Compressing liquid": an efficient global minima search strategy for clusters.

R L Zhou1, L Y Zhao, B C Pan

  • 1School of Science and Engineering of Materials, Hefei University of Technology, Hefei, Anhui 230009, People's Republic of China. rlzhou@mail.ustc.edu.cn

The Journal of Chemical Physics
|July 24, 2009
PubMed
Summary
This summary is machine-generated.

A new "compressing liquid" global search strategy efficiently finds atomic cluster global minima. This method identified novel non-fullerene structures for silicon clusters, surpassing previous strategies.

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Spatial Separation of Molecular Conformers and Clusters
10:37

Spatial Separation of Molecular Conformers and Clusters

Published on: January 9, 2014

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Last Updated: Jun 21, 2026

Computation of Atmospheric Concentrations of Molecular Clusters from ab initio Thermochemistry
12:11

Computation of Atmospheric Concentrations of Molecular Clusters from ab initio Thermochemistry

Published on: April 8, 2020

Spatial Separation of Molecular Conformers and Clusters
10:37

Spatial Separation of Molecular Conformers and Clusters

Published on: January 9, 2014

Area of Science:

  • Computational Chemistry
  • Materials Science
  • Nanotechnology

Background:

  • Determining the global minimum energy structure of atomic clusters is crucial for understanding their properties.
  • Existing global search methods can be computationally expensive and may not always find the true global minimum.

Purpose of the Study:

  • To introduce and evaluate a novel global search strategy, the "compressing liquid" method, for identifying the lowest energy structures of atomic clusters.
  • To assess the efficiency of this new method on Lennard-Jones clusters and medium-sized silicon clusters.

Main Methods:

  • The "compressing liquid" strategy involves using a random liquid structure fragment as the initial geometry.
  • Iterative "compressing" operations and Monte Carlo adjustments of atomic positions, followed by structural optimization, are performed.
  • The method was applied to Lennard-Jones clusters and silicon clusters (Si(n), n=40-60).

Main Results:

  • The "compressing liquid" method demonstrated fair efficiency in finding global minima for Lennard-Jones clusters.
  • For medium silicon clusters, the method successfully identified the best candidates for most sizes.
  • Novel non-fullerene-based structures were discovered for certain silicon cluster sizes, which were not found using endohedral-fullerene strategies.

Conclusions:

  • The "compressing liquid" method is a highly efficient approach for the global minima search of atomic clusters.
  • This new strategy offers a promising alternative for exploring complex cluster energy landscapes and discovering new structural motifs.