'Madelung model' prediction for dependence of lattice parameter on nanocrystal size

Vasili Perebeinos; Siu Wai Chan; Feng Zhang

doi:10.1016/S0038-1098(02)00266-1

'Madelung model' prediction for dependence of lattice parameter on nanocrystal size

Vasili Perebeinos
, Siu Wai Chan
, Feng Zhang

Department of Electrical Engineering

Columbia University

Research output: Contribution to journal › Article › peer-review

130 Scopus citations

Abstract

The competition between the long-range Coulomb attractive and the short-range repulsive interaction in ionic nanocrystals creates an effective negative pressure, which causes the lattice parameter a to increase with decreasing nanoparticle size d. A simple 'Madelung model' is used to predict the dependence of the lattice parameter for CeO₂ and BaTiO₃ on d, δa/a = α/d, for α = 0.22 and 0.18 Å, respectively. The model predictions are compared with experimental results.

Original language	English
Pages (from-to)	295-297
Number of pages	3
Journal	Solid State Communications
Volume	123
Issue number	6-7
DOIs	https://doi.org/10.1016/S0038-1098(02)00266-1
State	Published - Aug 2002

Keywords

A. Nanostructures
A. Surfaces and interfaces

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10.1016/S0038-1098(02)00266-1

Cite this

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title = "'Madelung model' prediction for dependence of lattice parameter on nanocrystal size",

abstract = "The competition between the long-range Coulomb attractive and the short-range repulsive interaction in ionic nanocrystals creates an effective negative pressure, which causes the lattice parameter a to increase with decreasing nanoparticle size d. A simple 'Madelung model' is used to predict the dependence of the lattice parameter for CeO2 and BaTiO3 on d, δa/a = α/d, for α = 0.22 and 0.18 {\AA}, respectively. The model predictions are compared with experimental results.",

keywords = "A. Nanostructures, A. Surfaces and interfaces",

author = "Vasili Perebeinos and Chan, \{Siu Wai\} and Feng Zhang",

year = "2002",

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doi = "10.1016/S0038-1098(02)00266-1",

language = "English",

volume = "123",

pages = "295--297",

journal = "Solid State Communications",

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T1 - 'Madelung model' prediction for dependence of lattice parameter on nanocrystal size

AU - Perebeinos, Vasili

AU - Chan, Siu Wai

AU - Zhang, Feng

PY - 2002/8

Y1 - 2002/8

N2 - The competition between the long-range Coulomb attractive and the short-range repulsive interaction in ionic nanocrystals creates an effective negative pressure, which causes the lattice parameter a to increase with decreasing nanoparticle size d. A simple 'Madelung model' is used to predict the dependence of the lattice parameter for CeO2 and BaTiO3 on d, δa/a = α/d, for α = 0.22 and 0.18 Å, respectively. The model predictions are compared with experimental results.

AB - The competition between the long-range Coulomb attractive and the short-range repulsive interaction in ionic nanocrystals creates an effective negative pressure, which causes the lattice parameter a to increase with decreasing nanoparticle size d. A simple 'Madelung model' is used to predict the dependence of the lattice parameter for CeO2 and BaTiO3 on d, δa/a = α/d, for α = 0.22 and 0.18 Å, respectively. The model predictions are compared with experimental results.

KW - A. Nanostructures

KW - A. Surfaces and interfaces

UR - https://www.scopus.com/pages/publications/0036685170

U2 - 10.1016/S0038-1098(02)00266-1

DO - 10.1016/S0038-1098(02)00266-1

M3 - Article

AN - SCOPUS:0036685170

SN - 0038-1098

VL - 123

SP - 295

EP - 297

JO - Solid State Communications

JF - Solid State Communications

IS - 6-7

ER -

'Madelung model' prediction for dependence of lattice parameter on nanocrystal size

Abstract

Keywords

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