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Question

Chemistry Question on Chemical bonding and molecular structure

Assuming that Hund's rule is violated, the bond order and magnetic nature of the diatomic molecule B2B_2 is

A

1 and diamagnetic

B

0 and diamagnetic

C

1 and paramagnetic

D

0 and paramagnetic

Answer

1 and diamagnetic

Explanation

Solution

For molecules lighter than O2O_2, the increasing order of
energies of molecular orbitals is
σ1sσ1sσ2sσ2s\sigma1s _{\sigma}^{*} 1s \sigma2s _{\sigma}^{*}2s \bigg[\begin{array} \ \pi2p_y \\\ \pi2p_z \\\ \end{array}\bigg] σ2pxσ2px\sigma2p_x {\sigma}^{*}2p_x \bigg[\begin{array} \ {\pi}^{*}2p_y \\\ {\pi}^{*}2p_z \\\ \end{array} ......
where, π2py\pi2p_y and π2pz\pi2p_z are degenerate molecular orbitals, first singly occupied and then pairing starts if Hund's rule is obeyed. If Hund's rule is violated in B2B_2, electronic arrangement would be
\sigma1 s^2\ _{\sigma}^{*} 1s^2 \sigma2s^2 \ _{\sigma}^{*}2s^2 \bigg[\begin{array} \ \pi2p_y^2 \\\ \pi2p_z \\\ \end{array}.....
No unpaired electron-diamagnetic.
Bond order=bondingelectronsantibondingelectrons2\frac{bonding electrons - antibonding electrons}{2}
=642=1=\frac {6-4}{2}=1