He later did important work on the Quantum Defect Theory.
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They are potentially very efficient and high powered due to a small quantum defect.
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The quantum defect correction can be associated with the presence of a distributed ionic core.
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The formula that more resembled the hydrogen spectrum calculations was because of a smaller quantum defect.
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The energy of Rydberg states can be refined by including a correction called the quantum defect in the Rydberg formula.
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Note that energy levels cannot cross due to the ionic core ( and resulting quantum defect ) breaking symmetries of dynamical motion.
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This constant is now known as the Rydberg constant, and " m "'is known as the quantum defect.
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The resulting shift of the energy levels is represented mathematically as an angular momentum dependent quantum defect, ? " l ":
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The existence of a non-zero quantum defect was attributed to electron-electron repulsion, which clearly does not exist in the isolated hydrogen atom.
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Additional terms in the potential energy expression for a Rydberg state, on top of the hydrogenic Coulomb potential energy require the introduction of a quantum defect, ? " l ", into the expression for the binding energy:
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