Step 1: Electron configuration and unpaired electrons.
The number of unpaired electrons can be determined from the electron configuration of the ions.
- \( \text{Mg}^{2+} \): \( 1s^2 2s^2 2p^6 \) (no unpaired electrons).
- \( \text{Fe}^{3+} \): \( [Ar] 3d^5 \) (5 unpaired electrons).
- \( \text{Ti}^{3+} \): \( [Ar] 3d^1 \) (1 unpaired electron).
- \( \text{F}^{-} \): \( [He] 2s^2 2p^6 \) (no unpaired electrons).
Step 2: Conclusion.
Thus, \( \text{Fe}^{3+} \) has the maximum number of unpaired electrons (5).