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Question

Chemistry Question on Molecular Orbital Theory

Total number of electrons present in (π)(\pi^*) molecular orbitals of O2\text{O}_2, O2+\text{O}_2^+, and O2\text{O}_2^- is __________ .

Answer

The electronic configuration of O2_2 and its ions in terms of molecular orbitals is as follows:
σ(1s)2σ(1s)2σ(2s)2σ(2s)2σ(2pz)2π(2px)2π(2py)2=π(2py)2π(2px)1π(2py)1\sigma(1s)^2 \sigma^*(1s)^2 \sigma(2s)^2 \sigma^*(2s)^2 \sigma(2p_z)^2 \pi(2p_x)^2 \pi(2p_y)^2 = \pi(2p_y)^2 \pi^*(2p_x)^1 \pi^*(2p_y)^1
For O2_2: There are 2 electrons in π\pi^* orbitals.
For O2+_2^+: 1 electron is removed from the π\pi^* orbitals, leaving 1 electron.
For O2_2^-: 1 electron is added to the π\pi^* orbitals, making it 3 electrons.
Total electrons in (π\pi^*) molecular orbitals =2+1+3=6= 2 + 1 + 3 = 6
Final Answer: (6)

Explanation

Solution

The electronic configuration of O2_2 and its ions in terms of molecular orbitals is as follows:
σ(1s)2σ(1s)2σ(2s)2σ(2s)2σ(2pz)2π(2px)2π(2py)2=π(2py)2π(2px)1π(2py)1\sigma(1s)^2 \sigma^*(1s)^2 \sigma(2s)^2 \sigma^*(2s)^2 \sigma(2p_z)^2 \pi(2p_x)^2 \pi(2p_y)^2 = \pi(2p_y)^2 \pi^*(2p_x)^1 \pi^*(2p_y)^1
For O2_2: There are 2 electrons in π\pi^* orbitals.
For O2+_2^+: 1 electron is removed from the π\pi^* orbitals, leaving 1 electron.
For O2_2^-: 1 electron is added to the π\pi^* orbitals, making it 3 electrons.
Total electrons in (π\pi^*) molecular orbitals =2+1+3=6= 2 + 1 + 3 = 6
Final Answer: (6)