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If two different non-axial d-orbitals ha...

If two different non-axial d-orbitals having 'xz' nodal plane form `pi`-bond by overlapping each other, then internuclear axis will be :

A

x

B

y

C

z

D

They don't form `pi`-bond

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The correct Answer is:
To solve the problem, we need to analyze the situation involving two different non-axial d-orbitals that have an xz nodal plane and determine what the internuclear axis will be when they attempt to form a pi bond. ### Step-by-step Solution: 1. **Identify Non-Axial d-Orbitals**: The non-axial d-orbitals among the five d-orbitals are \(d_{xy}\), \(d_{yz}\), and \(d_{zx}\). The axial d-orbitals are \(d_{x^2-y^2}\) and \(d_{z^2}\). **Hint**: Remember that non-axial orbitals do not align along the x, y, or z axes. 2. **Determine the Nodal Plane**: The problem specifies that the d-orbitals have an xz nodal plane. This means that the electron density is absent in the xz plane. The orbitals that can have an xz nodal plane are \(d_{xy}\) and \(d_{yz}\). **Hint**: A nodal plane is where there is no electron density; visualize how the orbitals are oriented in space. 3. **Visualize the Orbitals**: - The \(d_{xy}\) orbital has lobes in the xy-plane. - The \(d_{yz}\) orbital has lobes in the yz-plane. When visualizing these orbitals, you can see that they are oriented perpendicularly to each other. **Hint**: Sketching the orbitals can help you understand their spatial arrangement. 4. **Analyze the Overlap for Pi Bonding**: For two orbitals to form a pi bond, they must overlap in the same plane. Since \(d_{xy}\) and \(d_{yz}\) are perpendicular to each other, they cannot overlap effectively to form a pi bond. **Hint**: Recall that pi bonds require parallel overlap of orbitals. 5. **Conclusion**: Since no pi bond can form between the \(d_{xy}\) and \(d_{yz}\) orbitals due to their perpendicular orientation, there will be no internuclear axis defined for a pi bond. **Final Answer**: The internuclear axis will be that they do not form a pi bond. ### Summary: The correct answer is that the two non-axial d-orbitals do not form a pi bond, and therefore, there is no internuclear axis defined. This leads us to conclude that option D (they do not form pi bonds) is the correct answer.

To solve the problem, we need to analyze the situation involving two different non-axial d-orbitals that have an xz nodal plane and determine what the internuclear axis will be when they attempt to form a pi bond. ### Step-by-step Solution: 1. **Identify Non-Axial d-Orbitals**: The non-axial d-orbitals among the five d-orbitals are \(d_{xy}\), \(d_{yz}\), and \(d_{zx}\). The axial d-orbitals are \(d_{x^2-y^2}\) and \(d_{z^2}\). **Hint**: Remember that non-axial orbitals do not align along the x, y, or z axes. ...
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