The correct molecular orbital diagram for F2 molecule in the ground state is
The correct molecular orbital diagram for F2 molecule in the ground state is
The Correct Option is C
Approach Solution - 1
For F2 molecule (σ2s)2 (σ\(\times\)2s)2 (σ2p)2 (π2p2 = π2p2) (π\(\times\)2p2 = π\(\times\)2p2)
The provided diagram illustrates the molecular orbital configuration of the F2 molecule.
Approach Solution -2
In the ground state molecular orbital (MO) diagram for the \( \text{F}_2 \) molecule, the valence electrons of each fluorine atom participate in forming molecular orbitals. Since each fluorine atom contributes 7 valence electrons (F: 1s² 2s² 2p⁵), the total number of valence electrons in the \( \text{F}_2 \) molecule is 14.
The molecular orbital diagram for \( \text{F}_2 \) can be constructed by considering the formation and combination of atomic orbitals, followed by the filling of molecular orbitals according to the Aufbau principle, Pauli exclusion principle, and Hund's rule.
The molecular orbitals formed include:
- Bonding orbitals (\( \sigma \), \( \pi \)) which are lower in energy.
- Antibonding orbitals (\( \sigma^* \), \( \pi^* \)) which are higher in energy.
In \( \text{F}_2 \), after filling the molecular orbitals, the \( \sigma \) bonding molecular orbital is lower in energy than the \( \pi \) bonding molecular orbitals. Additionally, the \( \sigma^* \) antibonding molecular orbitals are higher in energy than their corresponding bonding orbitals. The \( \pi \) bonding molecular orbitals are higher in energy than the \( \sigma \) bonding molecular orbital but lower than the \( \sigma^* \) antibonding molecular orbitals.
This arrangement of molecular orbitals correctly represents the ground state of the \( \text{F}_2 \) molecule.
Hence The correct Answer is Option (3)
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Concepts Used:
Molecular Orbital Theory
The Molecular Orbital Theory is a more sophisticated model of chemical bonding where new molecular orbitals are generated using a mathematical process called Linear Combination of Atomic Orbitals (LCAO).
Molecular Orbital theory is a chemical bonding theory that states that individual atoms combine together to form molecular orbitals. Due to this arrangement in MOT Theory, electrons associated with different nuclei can be found in different atomic orbitals. In molecular orbital theory, the electrons present in a molecule are not assigned to individual chemical bonds between the atoms. Rather, they are treated as moving under the influence of the atomic nuclei in the entire molecule.
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