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Which of the following MO s have one nod...

Which of the following `MO` s have one nodal plane ? .

A

`sigma 1s`

B

`sigma^(**) 1s`

C

`sigma 2p_(z)`

D

`sigma^(**)2p_(z)`

Text Solution

AI Generated Solution

The correct Answer is:
To determine which molecular orbitals (MOs) have one nodal plane, we will analyze each option provided in the question step by step. ### Step-by-Step Solution: 1. **Analyze Sigma 1s Molecular Orbital (σ 1s)**: - The σ 1s molecular orbital is formed by the constructive interference of two 1s atomic orbitals. - Since it is formed by constructive interference, there are no nodal planes present in this molecular orbital. - **Conclusion**: σ 1s has **0 nodal planes**. 2. **Analyze Sigma Star 1s Molecular Orbital (σ* 1s)**: - The σ* 1s molecular orbital is formed by the destructive interference of two 1s atomic orbitals. - This type of interference creates a nodal plane between the two nuclei. - **Conclusion**: σ* 1s has **1 nodal plane**. 3. **Analyze Sigma 2pz Molecular Orbital (σ 2pz)**: - The σ 2pz molecular orbital is formed by the constructive interference of two 2pz atomic orbitals. - Similar to σ 1s, this type of interference does not create any nodal planes. - **Conclusion**: σ 2pz has **0 nodal planes**. 4. **Analyze Sigma Star 2pz Molecular Orbital (σ* 2pz)**: - The σ* 2pz molecular orbital is formed by the destructive interference of two 2pz atomic orbitals. - This results in the formation of a nodal plane between the two nuclei. - **Conclusion**: σ* 2pz has **1 nodal plane**. ### Final Answer: The molecular orbitals that have one nodal plane are **σ* 1s** and **σ* 2pz**.

To determine which molecular orbitals (MOs) have one nodal plane, we will analyze each option provided in the question step by step. ### Step-by-Step Solution: 1. **Analyze Sigma 1s Molecular Orbital (σ 1s)**: - The σ 1s molecular orbital is formed by the constructive interference of two 1s atomic orbitals. - Since it is formed by constructive interference, there are no nodal planes present in this molecular orbital. - **Conclusion**: σ 1s has **0 nodal planes**. ...
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