"Madelung model" prediction for dependence of lattice parameter on nanocrystal size
Materials Science
2009-11-07 v1
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, delta a/a = alpha/d, for alpha = 0.22 A and 0.18 A respectively. The model predictions are compared with experimental results.
Keywords
Cite
@article{arxiv.cond-mat/0208048,
title = {"Madelung model" prediction for dependence of lattice parameter on nanocrystal size},
author = {Vasili Perebeinos and Siu-Wai Chan and Feng Zhang},
journal= {arXiv preprint arXiv:cond-mat/0208048},
year = {2009}
}
Comments
5 pages, 2 figures