QJEEM24Ch228a: JEE Main 2024 Chemistry - Class 11 JEEM24Ch228a Solution: When ψ A and ψ B are the wave functions of atomic orbitals,…

In Molecular Orbital Theory, molecular orbitals are formed by the linear combination of atomic orbitals (LCAO). The wave functions of atomic orbitals $\psi_A$ and $\psi_B$ can combine in two ways:

1. Constructive Interference: This leads to the formation of a bonding molecular orbital ( $\sigma$ ):

$\sigma = \psi_A + \psi_B$

1. Destructive Interference: This leads to the formation of an antibonding molecular orbital ( $\sigma^*$ ):

$\sigma^* = \psi_A - \psi_B$

Conclusion

The antibonding molecular orbital $\sigma^*$ is represented by:

$\sigma^* = \psi_A - \psi_B$

Therefore, the correct answer is:

Option B: $\psi_{\mathrm{A}} - \psi_{\mathrm{B}}$