Question:

Identify the correct increasing order of energies of molecular orbitals for F2 molecule. 

Updated On: Apr 22, 2024
  • \(σ_{1s}< σ^{*}_{1s} < σ_{2s} < σ^{*}_{2s}\)

  • \(σ_{1s}< σ_{2s} <σ^{*}_{1s} < σ^{*}_{2s}\)

  • \(σ_{1s} < σ^{*}_{1s} < σ^{*}_{2s} < σ_{2s}\)

  • \(σ ^{*}_{1s} < σ_{1s} < σ^{ *}_{2s} < σ_{2s}\)

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The Correct Option is D

Solution and Explanation

Let's break down the options to understand why this is the correct order: 

  • In the F2 molecule, the \(σ_{1s}\) bonding orbital is formed by the overlap of the two 1s atomic orbitals from each fluorine atom. This bonding orbital is lower in energy compared to the other molecular orbitals.
  • The \(σ^{*}_{1s}\) antibonding orbital is formed by the destructive overlap of the two 1s atomic orbitals. It is higher in energy than the \(σ_{1s}\) bonding orbital.
  • The \(σ_{2s}\) bonding orbital is formed by the overlap of the two 2s atomic orbitals from each fluorine atom. It is lower in energy than the σ* 1s orbital.
  • Finally, the \(σ^{*}_{2s}\) antibonding orbital is formed by the destructive overlap of the two 2s atomic orbitals. It is higher in energy than the \(σ_{2s}\) bonding orbital.

Therefore, the correct order is \(σ^{*}_{1s} < σ_{1s} < σ^{*}_{2s} < σ_{2s}\), which corresponds to option (D).

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