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Maximum magnetic moment is shown by
  • a)
    d6
  • b)
    d8
  • c)
    d5
  • d)
    d7
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Maximum magnetic moment is shown bya)d6b)d8c)d5d)d7Correct answer is o...
Magnetic moment is maximum for the element having maximum unpaired electrons.
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Maximum magnetic moment is shown bya)d6b)d8c)d5d)d7Correct answer is o...
Magnetic Moment and d-orbitals


To understand why the maximum magnetic moment is shown by d5, we need to understand the concept of magnetic moment and the behavior of d-orbitals in transition metals.


Magnetic Moment


Magnetic moment is a measure of the strength and orientation of a magnet in a magnetic field. In the context of transition metals, it refers to the magnetic properties of unpaired electrons in the d-orbitals. The magnetic moment can be calculated using the formula:


Magnetic moment (μ) = √[n(n+2)] BM


Where n is the number of unpaired electrons and BM is the Bohr magneton, a unit of magnetic moment.


d-orbitals


d-orbitals are the five orbitals (dxy, dxz, dyz, dx²-y², dz²) available for electrons to occupy in the d-subshell. These orbitals have different shapes and orientations, and they can accommodate a maximum of 10 electrons.


Explanation


In the given options, the maximum magnetic moment is shown by d5. Let's analyze each option to understand why d5 has the highest magnetic moment.



  • d6: In d6 configuration, there are 4 unpaired electrons. Applying the magnetic moment formula, we get μ = √[4(4+2)] BM = √24 BM.

  • d8: In d8 configuration, there are 2 unpaired electrons. Applying the magnetic moment formula, we get μ = √[2(2+2)] BM = √8 BM.

  • d5: In d5 configuration, there are 5 unpaired electrons. Applying the magnetic moment formula, we get μ = √[5(5+2)] BM = √35 BM.

  • d7: In d7 configuration, there are 3 unpaired electrons. Applying the magnetic moment formula, we get μ = √[3(3+2)] BM = √15 BM.



Comparing the magnetic moments calculated for each option, we can see that d5 has the highest magnetic moment of √35 BM. Therefore, the correct answer is option 'C'.


It is important to note that the magnetic moment depends on the number of unpaired electrons. The more unpaired electrons present in the d-orbitals, the higher the magnetic moment. This is because unpaired electrons have individual magnetic moments that align with an external magnetic field, resulting in a stronger overall magnetic moment.
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