Cubic spline techniques for fitting X-ray cross sections

摘要: Abstract Cubic spline least squares fitting algorithms are developed for continous functions and with jump discontinuities. The cubic coefficients incoherent coherent scattering cross sections elements from sodium through cobalt reported energies 1 to 150 keV, when two interior knots (three regions) used they yield accuracies better than those obtined by a single polynomial. Specialized discontinuous fit X-ray photoelectric allow accurate across the absorption edge discontinuities wide range of very simple function. all in atomic number 11 27 energy keV reported. representation provides computationally faster method using polynomial interpolation discrete data sets requires much less computer storage.