Predictions of the mechanical and structural properties of spherical platinum nanoparticles by Chen-Mobius lattice inversion method

Esam H. Abdul-Hafidh, Brahim Aissa

Research output: Contribution to journalArticle

Abstract

In this study, Chen-Mobius lattice inversion method is used to calculate the cohesive energy and bulk modulus of platinum. This method was employed to calculate the cohesive energy by summing over all pairs of atoms within platinum spherical nanoparticles. The cohesive energy was calculated by inverting the potential energy function proposed by Rose et al. (1981). The bulk modulus was derived from the cohesive energy curve as a function of particles' sizes. Both of the bulk modulus and the scaled cohesive energy decrease as the size of the nanoparticles decreases. These predictions agree qualitatively with previous measurements for some nanomaterials (γ-Al2O3, CdSe and PbS). For some other nanomaterials (γ-Fe2O3, CeO2, Au and Ag) the bulk modulus is reported in the literature to increase as the size decreases. These inconsistent results are attributed to the higher surface to volume ratio of nanostructures (thin films, nanotubes, .etc.) compared to nanoparticles.

Original languageEnglish
Pages (from-to)5076-5080
Number of pages5
JournalJournal of Computational and Theoretical Nanoscience
Volume12
Issue number12
DOIs
Publication statusPublished - 2015

Fingerprint

Platinum
Möbius
Bulk Modulus
Structural Properties
Mechanical Properties
Nanoparticles
Structural properties
Inversion
platinum
bulk modulus
Elastic moduli
mechanical properties
inversions
Mechanical properties
nanoparticles
Prediction
predictions
Energy
Nanostructured materials
Nanomaterials

Keywords

  • Bulk modulus
  • Chen-mobius lattice inversion method
  • Cohesive energy
  • Lattice parameter
  • Platinum nanoparticles

ASJC Scopus subject areas

  • Chemistry(all)
  • Materials Science(all)
  • Condensed Matter Physics
  • Computational Mathematics
  • Electrical and Electronic Engineering

Cite this

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title = "Predictions of the mechanical and structural properties of spherical platinum nanoparticles by Chen-Mobius lattice inversion method",
abstract = "In this study, Chen-Mobius lattice inversion method is used to calculate the cohesive energy and bulk modulus of platinum. This method was employed to calculate the cohesive energy by summing over all pairs of atoms within platinum spherical nanoparticles. The cohesive energy was calculated by inverting the potential energy function proposed by Rose et al. (1981). The bulk modulus was derived from the cohesive energy curve as a function of particles' sizes. Both of the bulk modulus and the scaled cohesive energy decrease as the size of the nanoparticles decreases. These predictions agree qualitatively with previous measurements for some nanomaterials (γ-Al2O3, CdSe and PbS). For some other nanomaterials (γ-Fe2O3, CeO2, Au and Ag) the bulk modulus is reported in the literature to increase as the size decreases. These inconsistent results are attributed to the higher surface to volume ratio of nanostructures (thin films, nanotubes, .etc.) compared to nanoparticles.",
keywords = "Bulk modulus, Chen-mobius lattice inversion method, Cohesive energy, Lattice parameter, Platinum nanoparticles",
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AU - Abdul-Hafidh, Esam H.

AU - Aissa, Brahim

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N2 - In this study, Chen-Mobius lattice inversion method is used to calculate the cohesive energy and bulk modulus of platinum. This method was employed to calculate the cohesive energy by summing over all pairs of atoms within platinum spherical nanoparticles. The cohesive energy was calculated by inverting the potential energy function proposed by Rose et al. (1981). The bulk modulus was derived from the cohesive energy curve as a function of particles' sizes. Both of the bulk modulus and the scaled cohesive energy decrease as the size of the nanoparticles decreases. These predictions agree qualitatively with previous measurements for some nanomaterials (γ-Al2O3, CdSe and PbS). For some other nanomaterials (γ-Fe2O3, CeO2, Au and Ag) the bulk modulus is reported in the literature to increase as the size decreases. These inconsistent results are attributed to the higher surface to volume ratio of nanostructures (thin films, nanotubes, .etc.) compared to nanoparticles.

AB - In this study, Chen-Mobius lattice inversion method is used to calculate the cohesive energy and bulk modulus of platinum. This method was employed to calculate the cohesive energy by summing over all pairs of atoms within platinum spherical nanoparticles. The cohesive energy was calculated by inverting the potential energy function proposed by Rose et al. (1981). The bulk modulus was derived from the cohesive energy curve as a function of particles' sizes. Both of the bulk modulus and the scaled cohesive energy decrease as the size of the nanoparticles decreases. These predictions agree qualitatively with previous measurements for some nanomaterials (γ-Al2O3, CdSe and PbS). For some other nanomaterials (γ-Fe2O3, CeO2, Au and Ag) the bulk modulus is reported in the literature to increase as the size decreases. These inconsistent results are attributed to the higher surface to volume ratio of nanostructures (thin films, nanotubes, .etc.) compared to nanoparticles.

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