Q131 / 200 · MHT CET - Medical 2026 (23 April Shift 1) · Chemistry

Identify the Lanthanoid ions having half filled and completely filled 4f orbitals respectively.

  • A
    $\text{Eu}^{2+}$ and $\text{Tm}^{2+}$
  • B
    $\text{Sm}^{2+}$ and $\text{Tm}^{3+}$
  • Correct answer
    C
    $\text{Tb}^{4+}$ and $\text{Yb}^{2+}$
  • D
    $\text{Dy}^{3+}$ and $\text{Yb}^{3+}$

Solution

The atomic number of Terbium (Tb) is $65$. Its electronic configuration is $[\text{Xe}] 4f^{9} 6s^{2}$.

For $\text{Tb}^{4+}$, four electrons are removed (two from $6s$ and two from $4f$), giving the configuration $[\text{Xe}] 4f^{7}$. This represents a half-filled $4f$ subshell.

The atomic number of Ytterbium (Yb) is $70$. Its electronic configuration is $[\text{Xe}] 4f^{14} 6s^{2}$.

For $\text{Yb}^{2+}$, two electrons are removed from the $6s$ orbital, giving the configuration $[\text{Xe}] 4f^{14}$. This represents a completely filled $4f$ subshell.

Thus, $\text{Tb}^{4+}$ and $\text{Yb}^{2+}$ have half-filled and completely filled $4f$ orbitals respectively.

Answer: $\text{Tb}^{4+}$ and $\text{Yb}^{2+}$

Hence, the correct answer is option: 'C'.

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