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ANALYTICAL REPRESENTATIONS OF REGULAR-SHAPED NANOSTRUCTURES FOR GAS STORAGE APPLICATIONS

Published online by Cambridge University Press:  02 September 2015

WEI-XIAN LIM  and
AARON W. THORNTON
WEI-XIAN LIM
Affiliation:
Nanomechanics Group, School of Mathematical Sciences, University of Adelaide, South Australia 5005, Australia
AARON W. THORNTON*
Affiliation:
CSIRO Materials Science and Engineering, Private Bag 33, Clayton South MDC, Victoria 3169, Australia email [email protected]
*
✉[email protected]
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Abstract

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Nanospace governs the dynamics of physical, chemical, material and biological systems, and the facility to model it with analytical formulae provides an essential tool to address some of the worlds’ key problems such as gas purification, separation and storage. This paper aims to provide some analytical models to exploit building blocks representing various geometric shapes that describe nanostructures. In order to formulate the various building blocks, we use the continuous approximation which assumes a uniform distribution of atoms on their surfaces. We then calculate the potential energy of the van der Waals interaction between an atom and the structure to evaluate the location of the atom where the potential energy is at its minimum. We provide applications of the analytical models for some real structures where more than one type of building block is required.

Keywords

gas storagepotential energyvan der Waals potentialnanostructuresbuilding blocks
Type
Research Article
Information
The ANZIAM Journal , Volume 57 , Issue 1 , July 2015 , pp. 43 - 61
Copyright
© 2015 Australian Mathematical Society 

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