Application of wavelet transform to extended X-ray absorption Spectroscopy

A new application of continuous wavelet transform to the data analysis of extended x-ray absorption spectroscopy is presented. The wavelet transform provides not only radial distance resolution of the spectra, but resolves also the wave vector space permitting the discrimination of atoms by their elemental nature. This resolution is especially important if these atoms are at the same distance. The wavelet transform method is applied to a structural problem of Zn-Al layered double hydroxides, demonstrating; the homogeneity of the metal cation distribution in the hydroxide layers. Depending on the specific problem, either the well-known Morlet wavelet was used, or a newly developed wavelet, based on theoretical EXAFS back scattering functions.