Question

select the quantum numbers associated with the 5d orbital. principal quantum number (n) □ angular momentum quantum number (l) □ possible magnetic quantum numbers (m_l) □

Explanation:

Step1: Determine principal quantum number (\(n\))

The orbital is \(5d\). The principal quantum number \(n\) is the number in the orbital notation, so for \(5d\), \(n = 5\).

Step2: Determine angular momentum quantum number (\(l\))

The subshell is \(d\), and for \(d\) subshell, the angular momentum quantum number \(l = 2\) (since \(s\): \(l = 0\), \(p\): \(l = 1\), \(d\): \(l = 2\), \(f\): \(l = 3\)).

Step3: Determine possible magnetic quantum numbers (\(m_l\))

The magnetic quantum number \(m_l\) ranges from \(-l\) to \(+l\) including zero. For \(l = 2\), \(m_l\) can be \(-2, -1, 0, +1, +2\).

Answer:

• Principal quantum number (\(n\)): \(5\)
• Angular momentum quantum number (\(l\)): \(2\)
• Possible magnetic quantum numbers (\(m_l\)): \(-2, -1, 0, +1, +2\)