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Q4.33(i):
Compare the chemistry of the actinoids with that of lanthanoids with reference to: (i) electronic configuration

Solution :

Step 1: Theoretical Foundation of Electronic Configurations

The electronic configuration of lanthanoids and actinoids is governed by the progressive filling of the $4f$ and $5f$ orbitals, respectively. Both series arise from the necessity to accommodate electrons in inner-shell orbitals after the $6s$ or $7s$ subshells have been partially filled.

The general valence electronic configurations are defined as:

  • Lanthanoids: $[Xe] 4f^{0-14} 5d^{0-1} 6s^2$
  • Actinoids: $[Rn] 5f^{0-14} 6d^{0-1} 7s^2$

Step 2: Comparative Analysis of Orbital Filling

The primary difference in the electronic configuration arises from the energy gap between the orbitals being filled:

Feature Lanthanoids ($4f$ series) Actinoids ($5f$ series)
Orbital Energy The $4f$ electrons are more deeply buried within the atom. The $5f$ orbitals extend further from the nucleus into space than $4f$ orbitals.
Binding Energy $4f$ electrons have very little participation in chemical bonding. $5f$ electrons participate in bonding due to their greater spatial extension.
Configuration Variance Highly regular; strictly following the $4f^n$ pattern. Irregular; $5f$, $6d$, and $7s$ energy levels are of comparable energy.

Step 3: Visualizing Energy Distribution

Lanthanoid Energy Levels 4f 5d 6s Energy Gap Comparison Large gap prevents 4f bonding

Step 4: Logical Justification of Observed Irregularities

The electronic configuration of actinoids is less regular than that of lanthanoids due to the following reasons:

  1. Energy Equivalence: In the actinoid series, the $5f$, $6d$, and $7s$ subshells possess comparable energies [Per the Aufbau Principle under relativistic effects]. This allows for the promotion of electrons into various subshells.
  2. Relativistic Effects: As the nuclear charge ($Z$) increases in the actinoid series ($Z=89-103$), relativistic effects become significant, causing the $7s$ orbital to contract and the $5f$ orbitals to expand.
  3. Shielding Efficiency: The $5f$ electrons provide poor shielding compared to $4f$ electrons, leading to the "Actinoid Contraction," which influences the electronic arrangement of the subsequent elements in the period.

Final Solution: While both series involve the filling of $(n-2)f$ orbitals, lanthanoids demonstrate a more consistent $4f^n 6s^2$ configuration due to the localized nature of $4f$ orbitals. Conversely, actinoids exhibit varied electronic configurations because the $5f$, $6d$, and $7s$ subshells possess nearly identical energy levels, facilitating greater participation of $5f$ electrons in chemical bonding.


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