Start Learning Free

Before You Begin

Question #44869

Difficulty: 8/10 | 🟢 Free

The Question

The thiometallate anions \ce{[MoS4]^{2-}} and \ce{[WS4]^{2-}} both exhibit tetrahedral geometry. Due to the lanthanoid contraction, the ionic radii of \ce{Mo^{6+}} and \ce{W^{6+}} are nearly identical (≈0.41\approx 0.41 \AA). Based on the differences in their quantum mechanical electronic environments, identify the correct relationship between their tetrahedral crystal field splitting energies (Δt\Delta_t) and the energies of their lowest-energy Ligand-to-Metal Charge Transfer (LMCT) bands (ELMCTE_{\text{LMCT}}).

Options

  • A.

    Δt(\ceW)>Δt(\ceMo)\Delta_t(\ce{W}) > \Delta_t(\ce{Mo}) ; ELMCT(\ceW)>ELMCT(\ceMo)E_{\text{LMCT}}(\ce{W}) > E_{\text{LMCT}}(\ce{Mo})

  • B.

    Δt(\ceW)>Δt(\ceMo)\Delta_t(\ce{W}) > \Delta_t(\ce{Mo}) ; ELMCT(\ceW)<ELMCT(\ceMo)E_{\text{LMCT}}(\ce{W}) < E_{\text{LMCT}}(\ce{Mo})

  • C.

    Δt(\ceW)≈Δt(\ceMo)\Delta_t(\ce{W}) \approx \Delta_t(\ce{Mo}) ; ELMCT(\ceW)≈ELMCT(\ceMo)E_{\text{LMCT}}(\ce{W}) \approx E_{\text{LMCT}}(\ce{Mo})

  • D.

    Δt(\ceW)<Δt(\ceMo)\Delta_t(\ce{W}) < \Delta_t(\ce{Mo}) ; ELMCT(\ceW)>ELMCT(\ceMo)E_{\text{LMCT}}(\ce{W}) > E_{\text{LMCT}}(\ce{Mo})

Check Your Answer

Correct Answer

Step-by-Step Solution

Explanation

How the Examiner Thinks

Exception_Exposure

Learn to identify edge cases and boundary exceptions that JEE examiners hide in math problems.

Concepts Behind This Question

Post-Lanthanoid Radii Equality|Tetrahedral Splitting Patterns|EAN Rule (Sidgwick's Rule)

Why This Question Is Tricky

Common Mistakes

This question tests a classic 'Lethal Collision' in advanced inorganic chemistry: the conflation of steric size (ionic radii) with electronic orbital extension.

Students often erroneously assume that because the Lanthanoid Contraction makes the ionic radii of Mo and W nearly identical, their coordination complexes will have identical splitting energies (Δt\Delta_t) and electronic spectra (Option C).

However, the hidden variable is the radial extension of the 5d orbitals, which diverges from the ionic radius trend.

The 5d orbitals extend further, increasing ligand field splitting (Δt\Delta_t).

Furthermore, the higher energy of the 5d orbitals in W(VI) compared to 4d in Mo(VI) increases the LMCT gap, testing the student's understanding of redox stability trends down a transition metal group.

Quick Facts About This Question

Question Information

SubjectChemistry
ChapterD and F Block Elements - Class 12
ConceptPost-Lanthanoid Radii Equality
Difficulty8
Cognitive Load7
Target Solve Time160 sec
AccessFree