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Q4.11(iii):
Explain giving reasons: (iii) The transition metals generally form coloured compounds.

Solution :

1. Theoretical Foundation: Electronic Configuration and d-d Transitions

Transition metals (elements of the d-block) are defined by the presence of partially filled $d$-orbitals in their ground state or in any of their common oxidation states. The color of their compounds arises primarily due to the d-d transition phenomenon, which occurs when these metals form coordination complexes with ligands.

2. The Crystal Field Splitting Mechanism

When transition metal ions interact with ligands, the five degenerate $d$-orbitals ($d_{xy}, d_{yz}, d_{zx}, d_{x^2-y^2}, d_{z^2}$) split into two distinct energy levels: the $t_{2g}$ set (lower energy) and the $e_g$ set (higher energy). This splitting is governed by Crystal Field Theory (CFT).

Degenerate d-orbitals eg (dz2, dx2-y2) t2g (dxy, dyz, dzx) d-d transition

3. Sequential Process of Color Perception

  • Excitation: Electrons in the lower energy $t_{2g}$ level absorb a specific wavelength of visible light to jump to the higher energy $e_g$ level [Per Planck-Einstein relation: $\Delta E = h\nu = \frac{hc}{\lambda}$].
  • Absorbed vs. Transmitted Light: The wavelength of the light absorbed corresponds to the energy gap ($\Delta_o$). The color observed by the human eye is the complementary color of the light absorbed.
  • Configuration Requirement: This process requires the presence of at least one unpaired $d$-electron ($d^1$ to $d^9$ configuration).

4. Comparative Analytical Table

Configuration Electronic State Color Status
$d^0$ (e.g., $Sc^{3+}$) Empty $d$-orbitals Colourless
$d^1 - d^9$ Partially filled $d$-orbitals Coloured (due to d-d transition)
$d^{10}$ (e.g., $Zn^{2+}$) Completely filled $d$-orbitals Colourless

5. Conclusion

The transition metals form coloured compounds because the energy gap between the split $d$-orbitals in a complex falls within the visible region of the electromagnetic spectrum. The absorption of specific photons triggers electronic promotion (d-d transition), resulting in the emission of the complementary color, provided that the $d$-subshell is neither completely empty ($d^0$) nor completely filled ($d^{10}$), as both prevent the electronic transition mechanism.

Final Solution: Transition metals form coloured compounds due to d-d electronic transitions permitted by the crystal field splitting of d-orbitals in the presence of ligands, which absorb visible light wavelengths to promote electrons to higher energy states.


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