Step 1:
Understand the quantum numbers and their allowed values:
- Principal quantum number (\(n\)): \(n = 1, 2, 3, \ldots\)
- Azimuthal quantum number (\(l\)): \(l = 0, 1, 2, \ldots, n-1\)
- Magnetic quantum number (\(m_l\)): \(m_l = -l, -(l-1), \ldots, 0, \ldots,
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