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Which of the following statements is not...

Which of the following statements is not correct from the viewpoint of molecular orbital theory?

A

`Be_2` is not a stable molecule

B

`He_2` is not stable but `He_2^+` is expected to exist

C

Bond strength of `N_2` is maximum amongst the homonuclear diatomic molecules

D

The order of energies of molecular orbitals in `F_2` molecule is `E(sigma2s)ltE(sigma^ast2s)ltE(2pip_x)=E(pi2p_y)ltE(sigma2p_z)ltE(pi^ast2p_x)=E(pi^ast2p_y)ltE(sigma^ast2p_z)`

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The correct Answer is:
To determine which statement is not correct from the viewpoint of molecular orbital theory (MOT), we will analyze the statements one by one based on the principles of MOT. ### Step 1: Understand the Bond Order Calculation The bond order is calculated using the formula: \[ \text{Bond Order} = \frac{(\text{Number of bonding electrons}) - (\text{Number of antibonding electrons})}{2} \] A bond order of 0 indicates that the molecule is unstable and does not exist. ### Step 2: Analyze Option 1 - Beryllium (Be2) - For Be2, the electronic configuration in molecular orbitals is: \[ \sigma_{1s}^2 \sigma_{1s}^*^2 \sigma_{2s}^2 \sigma_{2s}^*^2 \] - Bond order calculation: - Bonding electrons = 4 (from σ1s and σ2s) - Antibonding electrons = 4 (from σ1s* and σ2s*) \[ \text{Bond Order} = \frac{4 - 4}{2} = 0 \] - Conclusion: Be2 is not stable and does not exist. This statement is correct. ### Step 3: Analyze Option 2 - Helium (He2) - For He2, the electronic configuration is: \[ \sigma_{1s}^2 \sigma_{1s}^*^2 \] - Bond order calculation: - Bonding electrons = 2 - Antibonding electrons = 2 \[ \text{Bond Order} = \frac{2 - 2}{2} = 0 \] - Conclusion: He2 is not stable and does not exist. This statement is correct. ### Step 4: Analyze Option 3 - Bond Strength of Nitrogen (N2) - For N2, the electronic configuration is: \[ \sigma_{1s}^2 \sigma_{1s}^*^2 \sigma_{2s}^2 \sigma_{2s}^*^2 \sigma_{2p_z}^2 \pi_{2p_x}^2 \pi_{2p_y}^2 \] - Bond order calculation: - Bonding electrons = 10 - Antibonding electrons = 4 \[ \text{Bond Order} = \frac{10 - 4}{2} = 3 \] - Conclusion: N2 has the highest bond strength among diatomic molecules. This statement is correct. ### Step 5: Analyze Option 4 - Order of Molecular Orbitals for Fluorine (F2) - For F2, the electronic configuration is: \[ \sigma_{1s}^2 \sigma_{1s}^*^2 \sigma_{2s}^2 \sigma_{2s}^*^2 \sigma_{2p_z}^2 \pi_{2p_x}^2 \pi_{2p_y}^2 \] - The correct order of molecular orbitals for F2 should be: \[ \sigma_{2p_z} < \pi_{2p_x} = \pi_{2p_y} < \sigma_{2p_z}^* \] - However, if the order is stated incorrectly, it indicates a misunderstanding of the energy levels of the orbitals. - Conclusion: If the order is stated as σ2pz before π2p, this statement is incorrect. ### Final Answer The statement that is not correct from the viewpoint of molecular orbital theory is **Option 4**.
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