Step 1: Concept:
Gadolinium (Z=64) is a lanthanide. It has exceptional configuration due to half-filled f-subshell stability.
Step 2: Explanation:
Expected: [Xe] \(4f^8 6s^2\). Actual: [Xe] \(4f^7 5d^1 6s^2\).
Half-filled \(4f^7\) (7 electrons, all unpaired) is extra stable. 5d\(^1\) electron is promoted from 4f.
Step 3: Conclusion:
Thus, Gd = [Xe] \(4f^7 5d^1 6s^2\).