A scaling law which was used to classify photoelectron angular distributions (PADs) is now extended to photoelectron kinetic energy spectra. Both a theoretical proof and an independent verification are presented. Considering PADs are of photoelectron momentum spectra, this extension really extends the scaling law to the entire energy-momentum spectra. The scaling law for photoelectron energy-momentum spectra applies to both directly ionized and rescattered photoelectrons. Re-scaling experimental input parameters without loosing the physical essence with this scaling law may ease the experimental conditions and reduce the material and the energy consumptions in the experiments.
Rescattered photoelectrons are greatly affected by the binding potential of the parent core, while directly emitted photoelectrons not. They are of comparable probability amplitudes at the onset of the plateau in the kinetic energy spectra of photoelectrons, which leads to the photoelectron angular distributions varying distinctively with binding potential of the targets. We exhibit such variations and propose that the variations can be used to extract potential information of the target core.
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