Please use this identifier to cite or link to this item: https://hdl.handle.net/2440/115669
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Type: Journal article
Title: Analytical representations of regular-shaped nanostructures for gas storage applications
Author: Lim, W.
Thornton, A.
Citation: Australia and New Zealand Industrial and Applied Mathematics (ANZIAM) Journal, 2015; 57(1):43-61
Publisher: Oxford University Press
Issue Date: 2015
ISSN: 1446-1811
1446-8735
Statement of
Responsibility: 
Wei-Xian Lim and Aaron W. Thornton
Abstract: 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 storage; potential energy; van der Waals potential; nanostructures; building blocks
Rights: © Australian Mathematical Society 2015
DOI: 10.1017/S1446181115000152
Grant ID: ARC
Appears in Collections:Aurora harvest 8
Mathematical Sciences publications

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