Which of the following lanthanoids have [Xe] $4 f^x 5 \mathrm{~d}^1 6 \mathrm{~s}^2$ configuration in their…

Which of the following lanthanoids have [Xe] $4 f^x 5 \mathrm{~d}^1 6 \mathrm{~s}^2$ configuration in their ground state? $(x=1-14)$
  1. $\mathrm{Pr}, \mathrm{Tb}, \mathrm{Yb}$
  2. $\mathrm{Ce}, \mathrm{Yb}, \mathrm{Lu}$
  3. $\mathrm{Ce}, \mathrm{Gd}, \mathrm{Lu}$
  4. $\mathrm{Gd}, \mathrm{Tb}, \mathrm{Lu}$

Solution

$\mathrm{Ce}, \mathrm{Gd}$ and Lu have $[\mathrm{Xe}] 4 \mathrm{f}^{\mathrm{x}} 5 \mathrm{~d}^1 6 \mathrm{~s}^2$ configuration. $\begin{aligned} \mathrm{Ce} & =[\mathrm{Xe}] 4 \mathrm{f}^1 5 \mathrm{~d}^1 6 \mathrm{~s}^2 \\ \mathrm{Gd} & =[\mathrm{Xe}] 4 \mathrm{f}^7 5 \mathrm{~d}^1 6 \mathrm{~s}^2 \\ \mathrm{Lu} & =[\mathrm{Xe}] 4 \mathrm{f}^{14} 5 \mathrm{~d}^1 6 \mathrm{~s}^2 \end{aligned}$

Asked in: AP EAMCET 2024 (21 May Shift 1)

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