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.