NVAEasyJEE 2024Crystal Field Theory

JEE Chemistry 2024 Question with Solution

The spin-only magnetic moment value of square planar complex [Pt(NH3)2Cl(NH2CH3)]Cl[\text{Pt(NH}_3\text{)}_2\text{Cl(NH}_2\text{CH}_3\text{)}]\text{Cl} is B.M. (Nearest integer):

Answer

Correct answer:0

Step-by-step solution

Standard Method

Given: The complex is [Pt(NH3)2Cl(NH2CH3)]Cl[\text{Pt(NH}_3\text{)}_2\text{Cl(NH}_2\text{CH}_3\text{)}]\text{Cl} and it is square planar.

Find: The spin-only magnetic moment in B.M.

The square planar complex [Pt(NH3)2Cl(NH2CH3)]Cl[\text{Pt(NH}_3\text{)}_2\text{Cl(NH}_2\text{CH}_3\text{)}]\text{Cl} involves a Pt(II) center. For Pt(II), we remove two electrons from the neutral Pt atom, which has the electronic configuration:

[Xe]4f145d96s1[\text{Xe}]4f^{14}5d^96s^1

Removing two electrons gives:

5d85d^8

In a square planar complex with a d8d^8 configuration, all electrons are paired due to strong field ligands causing large splitting, which leaves the complex diamagnetic.

The spin-only magnetic moment μs\mu_s is given by

μs=n(n+2)\mu_s = \sqrt{n(n+2)}

where nn is the number of unpaired electrons.

Since the complex is diamagnetic, n=0n = 0. Therefore,

μ=0B.M.\mu = 0 \, \text{B.M.}

So, the nearest integer value is 00.

Electronic Configuration View

Given: Pt2+\text{Pt}^{2+} is present in a square planar complex.

Find: Number of unpaired electrons and hence the magnetic moment.

Pt2+\text{Pt}^{2+} has a d8d^8 electronic configuration. In square planar complexes, the dd-electrons pair up in such a way that no unpaired electrons remain.

As a result, the complex is diamagnetic and its magnetic moment is

0B.M.0 \, \text{B.M.}

Therefore, the correct answer is 00.

Common mistakes

  • Assuming every d8d^8 complex is paramagnetic is incorrect. Here the complex is square planar, and for square planar Pt2+\text{Pt}^{2+}, the electrons pair up. Always use both electronic configuration and geometry.

  • Using the oxidation state of Pt as 00 is wrong. The outer Cl\text{Cl}^- is the counter ion, so the complex cation contains Pt(II). First identify the oxidation state correctly, then determine the dd-electron count.

  • Substituting a nonzero value of nn in μs=n(n+2)\mu_s = \sqrt{n(n+2)} is incorrect here. The complex is diamagnetic, so the number of unpaired electrons is n=0n = 0. Determine nn before applying the formula.

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