The correct order of configuration of Omolecule according to MOT is

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  1. \(\begin{array}{l} \sigma \mathrm{s}^{2}<\sigma^{*} 1 \mathrm{~s}^{2}<\sigma 2 \mathrm{~s}^{2}<\sigma^{*} 2 \mathrm{~s}^{2}<\left(\pi 2 \mathrm{p}_{\mathrm{x}}^{2}=\pi 2 \mathrm{p}_{\mathrm{y}}^{2}\right) <\sigma 2 \mathrm{p}_{\mathrm{z}}^{2}<\left(\pi^{*} 2 \mathrm{p}_{\mathrm{x}}^{1}=\pi^{*} 2 \mathrm{p}_{\mathrm{y}}^{1}\right) \end{array}\)
  2. \(\begin{array}{l} \sigma 1 s^{2}<\sigma^{*} 1 s^{2}<\sigma 2 s^{2}<\sigma * 2 s^{2}<\sigma 2 p_{z}^{2}< \left(\pi 2 p_{x}^{2}=\pi 2 \mathrm{p}_{\mathrm{y}}^{2}\right)<\left(\pi^{*} 2 \mathrm{p}_{\mathrm{x}}^{1}=\pi^{*} 2 \mathrm{p}_{\mathrm{y}}^{1}\right) \end{array}\)
  3. \(\begin{array}{l} \sigma 1 s^{2}<\sigma^{*} 1 s^{2}<\sigma 2 s^{2}<\left(\pi 2 p^{2}=\pi 2 p_{y}^{2}\right) <\left(\pi^{*} 2 p_{x}^{2}=\pi^{*} 2 p_{y}^{2}\right)<\sigma^{*} 2 s^{2} \end{array}\)
  4. \(\begin{array}{l} \sigma 1 s^{2}<\sigma * 1 s^{2}<\sigma 2 s^{2}<\sigma * 2 s^{2}<\left(\pi 2 p_{x}^{2}=\pi 2 p_{y}^{2}\right) <\left(\pi^{*} 2 p_{x}^{2}=\pi^{*} 2 p_{y}^{2}\right) \end{array}\)

Answer (Detailed Solution Below)

Option 2 : \(\begin{array}{l} \sigma 1 s^{2}<\sigma^{*} 1 s^{2}<\sigma 2 s^{2}<\sigma * 2 s^{2}<\sigma 2 p_{z}^{2}< \left(\pi 2 p_{x}^{2}=\pi 2 \mathrm{p}_{\mathrm{y}}^{2}\right)<\left(\pi^{*} 2 \mathrm{p}_{\mathrm{x}}^{1}=\pi^{*} 2 \mathrm{p}_{\mathrm{y}}^{1}\right) \end{array}\)
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CONCEPT:

Molecular Orbital Theory (MOT) for O2 Molecule

  • Molecular Orbital Theory (MOT) explains the bonding in molecules by combining atomic orbitals to form molecular orbitals, which are spread over the entire molecule.
  • In O2, the molecular orbitals are formed by the combination of atomic orbitals from two oxygen atoms.
  • The molecular orbitals are filled according to the Aufbau principle, Pauli exclusion principle, and Hund's rule.

EXPLANATION:

  • The correct order of filling molecular orbitals for O2 molecule is as follows:
    • σ 1s2: The bonding molecular orbital formed by the combination of 1s orbitals from both oxygen atoms.
    • σ* 1s2: The antibonding molecular orbital formed by the combination of 1s orbitals from both oxygen atoms.
    • σ 2s2: The bonding molecular orbital formed by the combination of 2s orbitals from both oxygen atoms.
    • σ* 2s2: The antibonding molecular orbital formed by the combination of 2s orbitals from both oxygen atoms.
    • σ 2pz2: The bonding molecular orbital formed by the combination of 2pz orbitals from both oxygen atoms.
    • π 2px2 = π 2py2: The degenerate bonding molecular orbitals formed by the combination of 2px and 2py orbitals from both oxygen atoms.
    • π* 2px1 = π* 2py1: The degenerate antibonding molecular orbitals formed by the combination of 2px and 2py orbitals from both oxygen atoms.
  • Based on this order, the correct configuration of the O2 molecule is:

    σ 1s2 < σ* 1s2 < σ 2s2 < σ* 2s2 < σ 2pz2 < (π 2px2 = π 2py2) < (π* 2px1 = π* 2py1)

Therefore, the correct order of configuration of O2 molecule according to MOT is Option 2.

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