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The energies of the electrons in a given shell can be measured experimentally with:
Photoelectron spectroscopy
Short form of photoelectron spectroscopy:
PES
The position of each peak in the PES spectrum is related to:
The energy required to remove an electron from the corresponding subshell
The relative height of each peak on the PES spectrum is (ideally) proportional to:
The number of electrons in that subshell