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Q4.35(ii):
Compare the general characteristics of the first series of the transition metals with those of the second and third series metals in the respective vertical columns. Give special emphasis on the following points: (ii) oxidation states

Solution :

1. Theoretical Foundation of Oxidation States in Transition Metals

The oxidation states of transition metals are primarily governed by the availability of $(n-1)d$ and $ns$ electrons for bonding. In the $3d$ series (Sc to Zn), the energy gap between $3d$ and $4s$ orbitals is relatively small, allowing for a variety of oxidation states. As we move from the $3d$ series to the $4d$ and $5d$ series, several relativistic and electronic factors influence the stability and range of these states.

2. Comparative Analysis of Oxidation States

The following table delineates the core differences in the stability of high oxidation states across the transition series:

Feature 3d Series (First) 4d and 5d Series (Second/Third)
High Oxidation States Less stable; $d$-orbitals are more compact. More stable; $d$-orbitals are more extended.
Bond Energy Lower M-O or M-F bond enthalpy. Higher M-O or M-F bond enthalpy.
Coordination Prefers lower coordination numbers. Readily adopts high coordination numbers.

3. Analytical Justification of Observed Trends

A. Enhanced Stability of Higher Oxidation States: [Per the periodic law and orbital radial distribution functions], the $4d$ and $5d$ orbitals are spatially larger than $3d$ orbitals. This increased spatial extent facilitates more effective overlap with ligand orbitals, resulting in higher bond enthalpies. Consequently, high oxidation states are more stable for $4d$ and $5d$ metals. For example, in Group 6, while $Cr(VI)$ in $CrO_4^{2-}$ is a strong oxidizing agent, $W(VI)$ in $WO_4^{2-}$ is completely stable.

B. Relativistic Effects: [In accordance with Dirac-Hartree-Fock calculations], for the $5d$ series (specifically $Hf$ to $Au$), the $6s$ and $6p$ orbitals undergo relativistic contraction, while $5d$ orbitals are shielded and expand. This contributes to the unusual stability of high oxidation states at the end of the $5d$ series compared to the $3d$ series.

4. Graphical Representation of Electronic Configuration Influence

3d Series (Low Stability) 5d Series (High Stability) Oxidation Potential Bond Strength

5. Summary of Key Differences

  • First Transition Series ($3d$): Characterized by the prominence of the $+2$ and $+3$ oxidation states. Higher oxidation states (e.g., $+7$ in $MnO_4^-$) are strong oxidizing agents because they strive to revert to more stable, lower states.
  • Second and Third Transition Series ($4d/5d$): Characterized by the stability of maximum oxidation states corresponding to the total number of $(n-1)d + ns$ electrons. For instance, $OsO_4$ ($Os$ in $+8$) is stable, whereas the equivalent $Fe(VIII)$ is unknown.

Final Solution: The $4d$ and $5d$ series transition metals exhibit significantly greater stability in their higher oxidation states compared to the $3d$ series. This is attributed to the larger spatial extent of $4d$ and $5d$ orbitals, which facilitates stronger covalent bonding with ligands, and the increased bond enthalpies that prevent the oxidation states from acting as aggressive oxidizing agents.


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