The electron configuration of lanthanides follows a general pattern, where the electrons fill the 4f, 5d, and 6s orbitals. The given configuration is [Xe] 4f⁵ 5d¹ 6s².
- The electron configuration for \( {Ce} \) (Cerium) is [Xe] 4f¹ 5d¹ 6s², so it matches the required configuration.
- The electron configuration for \( {Gd} \) (Gadolinium) is [Xe] 4f⁷ 5d¹ 6s², which also matches the required configuration, with the exception of the 4f electrons.
- The electron configuration for \( {Lu} \) (Lutetium) is [Xe] 4f¹ 5d¹ 6s², matching the required configuration.
Thus, the lanthanides Ce, Gd, and Lu have the configuration [Xe] 4f⁵ 5d¹ 6s² in their ground state.
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