Among the following
X = Number of molecules/species in which HOMO is gerade
CsO₂ , Li₂ , Na₂O₂ ,N₂^2- ,C₂^2- , B₂
Y = According to MOT total number of nodal plane (in XY plane) obtained during the overlapping of two 2p_z orbitals along x-axis in homonuclear diatomic molecule.
Find (X + Y)

Question

Among the following

X = Number of molecules/species in which HOMO is gerade

CsO₂ , Li₂ , Na₂O₂ ,N₂^2- ,C₂^2- , B₂

Y = According to MOT total number of nodal plane (in XY plane) obtained during the overlapping of two 2p_z orbitals along x-axis in homonuclear diatomic molecule.

Find (X + Y)

TestHub · Accepted Answer

Li 2 , Na 2 O 2 , N 2 2- and C 2 2- have gerade HOMO, while B 2 and CsO 2 do not, so X = 4. For overlap of two 2pᶻ orbitals along x-axis, nodal planes arise due to sidewise orientation and symmetry of π interaction, giving Y = 3 nodal planes. Hence, total value is X + Y = 4 + 3 = 7.

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