Step 1: Understanding the Concept
Ionisation enthalpy generally increases slightly across the lanthanoid series, but a stable configuration gives an exceptionally high value.
Step 2: Configurations
Yb is \(4f^{14}6s^2\), with a completely filled 4f subshell, making it stable.
Step 3: Comparison
\(\text{IE}_1\) values in kJ/mol: Nd 533, Dy 573, Tm 597, Yb 603. So Yb is the highest.
Final Answer:
Ytterbium has the highest first ionisation enthalpy.
\[ \boxed{\text{(D) }\text{Yb}} \]