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The last electron in Neptunium (Np) is in the 5f subshell. Here's how we determine its quantum numbers:
Principal Quantum Number (n): 5 (because it's in the 5th energy level)
Angular Momentum Quantum Number (l): 3 (for f orbitals)
Magnetic Quantum Number (ml): -3 to +3 (since there are 7 f orbitals, ml values range from -l to +l)
Spin Quantum Number (ms): +1/2 or -1/2 (since there can be only two electrons per orbital, with opposite spins)