Question

For \( f \)-orbital the values of \( m \) are

• A. \(-2, -1, 0, +1, +2\)
• B. \(-3, -2, -1, 0, +1, +2, +3\)
• C. \(-1, 0, +1\)
• D. \(0, +1, +2, +3\)

Hint:

Remember: For s (\(l=0\)), m=1 value; p (\(l=1\)), m=3 values; d (\(l=2\)), m=5 values; f (\(l=3\)), m=7 values.

Answer 1

The Correct Option is B

Step 1: Understanding the Concept:
The magnetic quantum number \(m\) designates the orbital orientation. For a given azimuthal quantum number \(l\), \(m\) ranges from \(-l\) to \(+l\) including zero. For an \(f\)-orbital, \(l = 3\).
Step 2: Detailed Explanation:
If \(l = 3\), then \(m\) can have values: \(-3, -2, -1, 0, +1, +2, +3\). This gives a total of 7 orbitals.
Step 3: Final Answer:
Thus, the correct option is (B).