Why does photoejection depend on frequency?

The observation that electrons can be ejected from metals is analogous to the ionization of atoms and molecules. The difference is that the metals have a "sea of electrons" and the energies are not defined theoretically as easily as for for atoms. Instead, a work function is an empirical quantity. However, each metal has a specific work function.

Implications for X-ray photoelectron spectroscopy (XPS)

X-ray photoelectron spectroscopy is a powerful analystical techique used to detect specific elements on a surface. X-rays are used to eject electrons at characteristic energies, which are indicative of specific elements..