2014/07/10 by Salvino Ciccariello, Ciccariello, Salvino
Mathematics · Physics and Astronomy · #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.MP
paper · pdf · doi:10.48550/arxiv.1407.2788
9 pages, 7 figures
arxiv created 2014/07/10 · arxiv updated 2014/07/11
The expressions of the autocorrelation functions (CF) of the regular tetrahedron and the regular octahedron are reported. They have an algebraic form that involves the arctangent function and rational functions of r and (a + b r2)1/2, a and b being appropriate integers and r the distance. The CF expressions make the numerical determination of the corresponding scattering intensities fast and accurate also in presence of a size dispersion.