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Q4.7:
What is lanthanoid contraction? What are the consequences of lanthanoid contraction?

Solution :

1. Definition of Lanthanoid Contraction

Lanthanoid contraction is defined as the steady, gradual decrease in the atomic and ionic radii of the elements in the lanthanoid series ($Z = 57$ to $71$) as the atomic number increases. Despite the addition of electrons into the $4f$ subshell, the ionic radii of the tripositive ions ($Ln^{3+}$) decrease progressively from Lanthanum ($La^{3+}$, $103$ pm) to Lutetium ($Lu^{3+}$, $86$ pm).

2. Theoretical Mechanism: The Role of Shielding Effect

The contraction occurs due to the unique electronic configuration of the lanthanoids. As we move across the series, electrons are added to the $4f$ orbital.

  • Poor Shielding: The $4f$ orbitals possess a diffuse, complex spatial distribution, which results in a poor shielding effect [Per Slater's Rules regarding orbital screening].
  • Increased Nuclear Charge: Simultaneously, the nuclear charge ($Z$) increases by one unit for each successive element.
  • Resultant Force: The increased nuclear charge is not effectively shielded by the $4f$ electrons, leading to a greater effective nuclear charge ($Z_{eff}$) acting on the outer shell electrons. This draws the electron cloud closer to the nucleus, causing the observed contraction.

3. Visualization of Atomic Radius Trend

Atomic Number (Z) Radius La Lu

4. Consequences of Lanthanoid Contraction

The impact of this phenomenon is profound, affecting the physical and chemical properties of elements beyond the lanthanoid series.

Consequence Explanation
Similarity in Sizes of 4d and 5d Series Elements of the second transition series (e.g., $Zr, 160$ pm) and third transition series (e.g., $Hf, 159$ pm) exhibit nearly identical atomic radii because the lanthanoid contraction offsets the expected increase in size due to the addition of an extra shell.
Difficulty in Separation Due to the minimal change in ionic radii between successive lanthanoids, their chemical properties remain remarkably similar, making them notoriously difficult to separate from one another via standard chemical processes [Based on Periodic Law regarding group trends].
Basic Strength Variation As the size of the $Ln^{3+}$ ion decreases from $La$ to $Lu$, the covalent character of the $Ln-OH$ bond increases (based on Fajan’s Rule). Consequently, the basic strength of the lanthanoid hydroxides decreases from $La(OH)_3$ to $Lu(OH)_3$.
Properties of Post-Lanthanoid Elements The contraction influences the ionization energy and electronegativity of elements immediately following the lanthanoids, affecting their metallurgical and reactivity profiles.

Final Solution: Lanthanoid contraction is the progressive decrease in atomic and ionic radii of lanthanoids due to the poor shielding of $4f$ electrons against increasing nuclear charge. Its primary consequences include the similarity in size of $4d$ and $5d$ transition series elements, the extreme difficulty in separating individual lanthanoids, and the systematic decrease in the basic strength of their hydroxides.


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