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arXiv · 1006.1496

The isotropic correlation function of plane figures: the triangle case

Salvino Ciccariello
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Abstract

The knowledge of the isotropic correlation function of a plane figure is useful to determine the correlation function of the cylinders having the plane figure as right-section and a given height as well as to analyze the out of plane intensity collected in grazing incidence small-angle scattering from a film formed by a particulate collection of these cylinders. The correlation function of plane polygons can always be determined in closed algebraic form. Here we report its analytic expression for the case of a triangle. The expressions take four different forms that depend on the relative order among the sides and the heights of the triangle.

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Salvino Ciccariello. 2010-06-08. The isotropic correlation function of plane figures: the triangle case. https://doi.org/10.1088/1742-6596%2F247%2F1%2F012014

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