Geometry of Hydrogen Atom SolutionThe hydrogen atom solution to the Schrodinger equation produces three quantum numbers which can be seen to arise naturally from geometrical constraints on the wavefunction.

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Quantum Numbers, Hydrogen AtomIn the solution to the Schrodinger equation for the hydrogen atom, three quantum numbers arise from the space geometry of the solution and a fourth arises from electron spin. No two electrons can have an identical set of quantum numbers according to the Pauli exclusion principle , so the quantum numbers set limits on the number of electrons which can occupy a given state and therefore give insight into the building up of the periodic table of the elements.

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