Reexamine structures and relative stability of medium-sized silicon clusters

Low-lying endohedral fullerene-like clusters Si30-Si38

Soohaeng Yoo, Nan Shao, Xiao C Zeng

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Abstract

We report improved results of lowest-lying silicon clusters Si30-Si38. A large population of low-energy clusters are collected from previous searches by several research groups and the binding energies of these clusters are computed using density-functional theory (DFT) methods. Best candidates (isomers with high binding energies) are identified from the screening calculations. Additional constrained search is then performed for the best candidates using the basin-hopping method combined with DFT geometry optimization. The obtained low-lying clusters are classified according to binding energies computed using either the Perdew-Burke-Ernzerhof (PBE) functional or the Becke exchange and Lee-Yang-Parr correlation (BLYP) functional. We propose to rank low-lying clusters according to the mean PBE/BLYP binding energies in view that the PBE functional tends to give greater binding energies for more compact clusters whereas the BLYP functional tends to give greater binding energies for less compact clusters or clusters composed of small-sized magic-number clusters. Except for Si30, the new search confirms again that medium-size silicon clusters Si31-Si38 constructed with proper fullerene cage motifs are most promising to be the lowest-energy structures.

Original languageEnglish (US)
Pages (from-to)3757-3760
Number of pages4
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Volume373
Issue number41
DOIs
StatePublished - Oct 5 2009

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fullerenes
silicon
binding energy
density functional theory
screening
isomers
optimization
energy
geometry

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

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title = "Reexamine structures and relative stability of medium-sized silicon clusters: Low-lying endohedral fullerene-like clusters Si30-Si38",
abstract = "We report improved results of lowest-lying silicon clusters Si30-Si38. A large population of low-energy clusters are collected from previous searches by several research groups and the binding energies of these clusters are computed using density-functional theory (DFT) methods. Best candidates (isomers with high binding energies) are identified from the screening calculations. Additional constrained search is then performed for the best candidates using the basin-hopping method combined with DFT geometry optimization. The obtained low-lying clusters are classified according to binding energies computed using either the Perdew-Burke-Ernzerhof (PBE) functional or the Becke exchange and Lee-Yang-Parr correlation (BLYP) functional. We propose to rank low-lying clusters according to the mean PBE/BLYP binding energies in view that the PBE functional tends to give greater binding energies for more compact clusters whereas the BLYP functional tends to give greater binding energies for less compact clusters or clusters composed of small-sized magic-number clusters. Except for Si30, the new search confirms again that medium-size silicon clusters Si31-Si38 constructed with proper fullerene cage motifs are most promising to be the lowest-energy structures.",
author = "Soohaeng Yoo and Nan Shao and Zeng, {Xiao C}",
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T1 - Reexamine structures and relative stability of medium-sized silicon clusters

T2 - Low-lying endohedral fullerene-like clusters Si30-Si38

AU - Yoo, Soohaeng

AU - Shao, Nan

AU - Zeng, Xiao C

PY - 2009/10/5

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N2 - We report improved results of lowest-lying silicon clusters Si30-Si38. A large population of low-energy clusters are collected from previous searches by several research groups and the binding energies of these clusters are computed using density-functional theory (DFT) methods. Best candidates (isomers with high binding energies) are identified from the screening calculations. Additional constrained search is then performed for the best candidates using the basin-hopping method combined with DFT geometry optimization. The obtained low-lying clusters are classified according to binding energies computed using either the Perdew-Burke-Ernzerhof (PBE) functional or the Becke exchange and Lee-Yang-Parr correlation (BLYP) functional. We propose to rank low-lying clusters according to the mean PBE/BLYP binding energies in view that the PBE functional tends to give greater binding energies for more compact clusters whereas the BLYP functional tends to give greater binding energies for less compact clusters or clusters composed of small-sized magic-number clusters. Except for Si30, the new search confirms again that medium-size silicon clusters Si31-Si38 constructed with proper fullerene cage motifs are most promising to be the lowest-energy structures.

AB - We report improved results of lowest-lying silicon clusters Si30-Si38. A large population of low-energy clusters are collected from previous searches by several research groups and the binding energies of these clusters are computed using density-functional theory (DFT) methods. Best candidates (isomers with high binding energies) are identified from the screening calculations. Additional constrained search is then performed for the best candidates using the basin-hopping method combined with DFT geometry optimization. The obtained low-lying clusters are classified according to binding energies computed using either the Perdew-Burke-Ernzerhof (PBE) functional or the Becke exchange and Lee-Yang-Parr correlation (BLYP) functional. We propose to rank low-lying clusters according to the mean PBE/BLYP binding energies in view that the PBE functional tends to give greater binding energies for more compact clusters whereas the BLYP functional tends to give greater binding energies for less compact clusters or clusters composed of small-sized magic-number clusters. Except for Si30, the new search confirms again that medium-size silicon clusters Si31-Si38 constructed with proper fullerene cage motifs are most promising to be the lowest-energy structures.

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