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No, for any given electron, the principle quantum number will be larger. For example, a second shell, p-subshell electron will have the quantum numbers {2, 1, ml, ms} where mlcan be -1, 0, or 1 and, as always, ms can be ½ or -½. The largest ml can be is +1, which is smaller than the principle quantum number, 2.

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Q: Is Magnetic quantum number ever larger than the principle quantum number?
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