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Rutherford used existing ideas about the atom and proposed an atomic model in which the electrons move around the nucleus. His model only explained only a few simple properties of atoms.
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One of Rutherford's students changed his model to include newer discoveries about the energy of an atom. A quantum of energy is the amount of energy required to move an electron from one energy level to another.
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The Austrian physicist Erwin Schrodinger used the new results to devise and solve a mathematical equation describing behavior of the electron in the hydrogen atom. The model comes from mathematical solutions to the Schrodinger equation.