Journal of Materials Science vol:44 issue:1 pages:40-46
A real space technique based on the pair distribution function (PDF), and a reciprocal space method utilizing a two-dimensional Fast Fourier transform (FFT) quantifies the order in porous arrays. Porous arrays fabricated from nanoscience technology are analyzed. The PDFs are fit with a series of Gaussian curves and the widths of the Gaussian peaks are used to model the linear strain in the array. An order parameter is defined from the PDF, and takes values from [0,1], where the value one represents an ideal array. The radial distribution function (RDF) is also determined for the porous arrays. The FFT of the porous arrays is used to generate an order parameter as a ratio of intensity to the full width half maximum (σ) of the peaks. Defined as relative intensity I_r/σ, this parameter takes values from [0, ∞], where larger values represent more order in the array. We use commonly available software to generate this data.