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Q4.11 (ii):
Explain giving reasons: (ii) The enthalpies of atomisation of the transition metals are high.

Solution :

Step 1: Definition of Enthalpy of Atomisation

The enthalpy of atomisation ($\Delta_{a}H^\circ$) is defined as the energy required to break the forces of attraction between atoms in a metal lattice and convert them into isolated gaseous atoms. For transition metals, this value is exceptionally high compared to $s$-block elements.

Step 2: Role of Metallic Bonding and Valence Electrons

Transition metals (elements of $d$-block) possess a large number of unpaired electrons in their $(n-1)d$ orbitals in addition to their $ns$ electrons. These unpaired electrons facilitate the formation of strong covalent-like metallic bonds [Per the Electron-Sea Theory and Molecular Orbital Theory].

Step 3: Correlation between Unpaired Electrons and Bond Strength

The strength of a metallic bond is directly proportional to the number of electrons available for delocalization. Transition elements possess both $d$-orbitals and $s$-orbitals of comparable energy levels, allowing for extensive overlap of orbitals between adjacent atoms.

Unpaired d-electrons Strong Overlap High Enthalpy of Atomisation

Step 4: Comparative Analytical Data

The following table illustrates the relationship between $d$-electron configuration and the strength of metallic interactions in the $3d$ series:

Element Outer Electronic Configuration Trend in Atomisation Enthalpy
Sc ($Z=21$) $3d^1 4s^2$ Lower due to fewer $d$-electrons
Cr ($Z=24$) $3d^5 4s^1$ Peak due to maximum unpaired electrons
Zn ($Z=30$) $3d^{10} 4s^2$ Lower due to lack of unpaired electrons

Step 5: Theoretical Conclusion

The enthalpy of atomisation ($\Delta_{a}H^\circ$) is a function of the strength of interatomic interactions. Because transition metals exhibit $d-d$ orbital overlapping, the effective nuclear charge and the participation of both $(n-1)d$ and $ns$ electrons result in a very high bond dissociation energy [Ref: Metallic Bond Theory]. As the number of unpaired electrons increases, the interatomic exchange energy increases, leading to a more stable and stronger metallic crystal lattice, which requires greater energy to disrupt.

Final Solution: The high enthalpies of atomisation of transition metals are attributed to the presence of a large number of unpaired electrons in their $(n-1)d$ orbitals, which leads to strong interatomic interactions and powerful metallic bonding.


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