Issue
EPL
Volume 77, Number 2, January 2007
Article Number 23002
Number of page(s) 5
Section Atomic, Molecular and Optical Physics
DOI http://dx.doi.org/10.1209/0295-5075/77/23002
Published online 12 January 2007
EPL, 77 (2007) 23002
DOI: 10.1209/0295-5075/77/23002

An exact treatment of ellipsoid-substrate interactions

M. Babadi1 and M. R. Ejtehadi1, 2

1  Sharif University of Technology, Department of Physics - P.O. Box 11365-9161, Tehran, Iran
2  Institute for Studies in Theoretical Physics and Mathematics - P.O. Box 19395-5531, Tehran, Iran

mehrtash@physics.sharif.edu

received 30 October 2006; accepted in final form 20 November 2006; published January 2007
published online 12 January 2007

Abstract
We present an exact treatment of the pairwise surface interactions of biaxial ellipsoidal bodies and derive the exact explicit expressions for the attractive-repulsive Lennard-Jones(6-12) ellipsoid-substrate interactions. The applicability of the results at nanoscale as a coarse-grained description of molecule-substrate interactions has been studied through presenting parameterizations for a number of small biaxial molecules. The study concludes that the anisotropic coarse-grained potential reproduces the atomistic interactions of ellipsoid-like rigid molecules perfectly, with a negligible error of less than 3%.

PACS
34.50.Dy - Interaction of atoms and molecules with surfaces .
82.70.Dd - Colloids .
61.30.-v - Molecular and microscopic theories of liquid crystal structure .

© Europhysics Letters Association 2007