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Multi electron atoms are all the atoms except for hydrogen, which only has one electron. Multi electron atoms are more complex because of the reactions that multiple electrons have with each other that effect electron energy. For example, in multi electron atoms, there is something called electron shielding where electrons in outer energy levels are shielded from the nucleus by inner electron which reduces electrostatic attraction. All in all, multi electron atoms are just atoms besides hydrogen that have electrons in higher orbitals. These atoms have additional factors that affect electron energy.
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