Theory of spherical-wave Debye-Waller factors in photoelectron diffraction spectra compared with that in EXAFS

A new approach is applied to the analyses of thermal effects in ARXPS (photoelectron diffraction) spectra, where we include both spherical wave correction and anharmonic vibration effects. A partial summation technique is applied to get a plane wove port and a spherical wave port( dynamical spherical wave effect). Numerical calculations illustrate the importance of the spherical wave effects in high energy ARXPS spectra. In particular the spherical wave effects play an important role in the small-angle scatterings which predominate in the ARXPS processes. In comparison with the dynamical spherical wave effects in EXAFS those in ARXPS only reduce the intensities whereas the phase is unchanged.