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Molecular orbital theory as developed b...

Molecular orbital theory as developed by Hund and Mulliken concerns with the formation of molecular orbitals formed by linear combination of atomic orbitals. The electrons are present in these molecular orbitals. The molecular orbitals are filled. The molecular orbital configuration helps us to calculate bond order which gives information about the number of bonds present between atoms. The bond order is related to bond length and bond strength.
Which of the following will have maximum number of electrons in antibonding MOs?

A

`N_(2)^(+)`

B

`O_(2)^(+)`

C

`F_(2)`

D

`Be_(2)`

Text Solution

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The correct Answer is:
To determine which molecule has the maximum number of electrons in antibonding molecular orbitals (MOs), we will analyze the molecular orbital configurations of the given molecules: N2, O2, and B2. ### Step-by-Step Solution: 1. **Identify the Total Number of Electrons:** - **N2:** Each nitrogen atom has 7 electrons, so N2 has a total of 14 electrons. - **O2:** Each oxygen atom has 8 electrons, so O2 has a total of 16 electrons. - **B2:** Each beryllium atom has 4 electrons, so B2 has a total of 8 electrons. 2. **Determine the Molecular Orbital Configuration:** - **N2 Configuration:** - Total Electrons: 14 - Configuration: σ1s² σ*1s² σ2s² σ*2s² σ2p_z² π2p_x² π2p_y² - Antibonding Electrons: 2 (from σ*1s) + 0 (from σ*2s) + 0 (from π*2p) = 2 electrons in antibonding MOs. - **O2 Configuration:** - Total Electrons: 16 - Configuration: σ1s² σ*1s² σ2s² σ*2s² σ2p_z² π2p_x² π2p_y² π*2p_x¹ π*2p_y¹ - Antibonding Electrons: 2 (from σ*1s) + 2 (from σ*2s) + 2 (from π*2p) = 6 electrons in antibonding MOs. - **B2 Configuration:** - Total Electrons: 8 - Configuration: σ1s² σ*1s² σ2s² σ*2s² π2p_x² π2p_y² - Antibonding Electrons: 2 (from σ*1s) + 2 (from σ*2s) = 4 electrons in antibonding MOs. 3. **Compare the Number of Antibonding Electrons:** - N2: 2 antibonding electrons - O2: 6 antibonding electrons - B2: 4 antibonding electrons 4. **Conclusion:** - O2 has the maximum number of electrons in antibonding molecular orbitals, with a total of 6 antibonding electrons. ### Final Answer: **O2 has the maximum number of electrons in antibonding molecular orbitals.**
To determine which molecule has the maximum number of electrons in antibonding molecular orbitals (MOs), we will analyze the molecular orbital configurations of the given molecules: N2, O2, and B2. ### Step-by-Step Solution: 1. **Identify the Total Number of Electrons:** - **N2:** Each nitrogen atom has 7 electrons, so N2 has a total of 14 electrons. - **O2:** Each oxygen atom has 8 electrons, so O2 has a total of 16 electrons. - **B2:** Each beryllium atom has 4 electrons, so B2 has a total of 8 electrons. ...
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