Step 1: Understanding the Concept:
The general electronic configuration of lanthanoids is \([Xe] 4f^{1-14} 5d^{0-1} 6s^2\). Exceptions occur for atoms with half-filled or fully-filled f-orbitals.
Step 2: Detailed Explanation:
Europium (Eu) has atomic number 63. Its expected configuration is \([Xe] 4f^6 5d^0 6s^2\). However, to achieve the extra stability of a half-filled f-orbital (f\(^7\)), one electron is promoted, resulting in the configuration \([Xe] 4f^7 6s^2\). This is similar to the chromium exception.
Step 3: Final Answer:
Europium (Eu) has the outer electronic configuration \(4f^7 6s^2\).