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Photoelectron spectroscopy shines high-energy light on atoms, knocks out electrons, and measures their kinetic energy. The binding energy of each electron is the photon energy minus that kinetic energy. A PES spectrum shows one peak for each occupied subshell: the peak's position gives the binding energy, and its relative height gives the number of electrons in that subshell. PES therefore provides direct experimental evidence for shells, subshells and electron configurations.
Start from a known configuration, such as neon's 1s² 2s² 2p⁶, and predict its spectrum before looking at it: three peaks, heights 2:2:6, with 1s far to the high-energy side. Then reverse the task and identify unknown elements from spectra. Finally, compare the same subshell across neighboring elements to see how nuclear charge shifts binding energy.
You have learned to write electron configurations like 1s² 2s² 2p⁶. Photoelectron spectroscopy is one of the experiments that shows these configurations are real.
The method builds on the photoelectric effect. A beam of photons with a known, high energy, usually X-rays or far ultraviolet light, strikes a sample of gaseous atoms. Each photon can eject one electron. The instrument measures the kinetic energy of the ejected electrons. Energy is conserved, so:
binding energy = photon energy − kinetic energy
Electrons held loosely leave with a lot of kinetic energy and have a small binding energy. Electrons held tightly leave with little kinetic energy and have a large binding energy.
A PES spectrum plots the number of electrons detected against binding energy. Electrons from the same subshell all have about the same binding energy, so they appear together as one peak. Two features of each peak carry information. Its position tells you how tightly those electrons are held. Its relative height tells you how many electrons are in that subshell.
Consider neon. Its spectrum has three peaks, at about 84, 4.7 and 2.1 MJ/mol. The first is the 1s subshell, deep in the atom and close to the nucleus. The other two are 2s and 2p. Their heights are in the ratio 2 : 2 : 6, matching the configuration exactly. Notice that the lowest binding energy, about 2.1 MJ/mol, equals neon's first ionization energy.
The spectrum also shows things that a configuration alone does not. The 2s and 2p peaks are separate, so electrons in the same shell can have different energies. Moving from one element to the next, the same subshell shifts to higher binding energy because the nucleus has one more proton. Sodium's 1s peak lies at higher energy than neon's, and sodium adds a small fourth peak for its single 3s electron at a very low binding energy.
The same principle, applied with X-rays to solid surfaces, is X-ray photoelectron spectroscopy (XPS), a standard tool for finding which elements are present at a surface and in what oxidation states. Kai Siegbahn shared the 1981 Nobel Prize in Physics for developing high-resolution electron spectroscopy.
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