1.

Give energy level diagram obtained by over lapping of 2p_(z) orbitals.

Answer»

Solution :By LCAO,` 2p_(z)^(1) - 2p_(z)^(1)` are OVERLEAP and form MO.The energy diagram is under. .

Where, AO = Atomic orbitals (here, `2p_(z)`)
MO = Molecular orbitals (here, `sigma 2p_(z) sigma^(**) 2p_(z)`)
BMO Bonding orbitals (here, `sigma 2p_(z)`)
ABMO Antibonding orbitals (here `sigma^(**) 2p_(z)` )
Energy : `(2p_(z)^(1) + 2p_(z)^(1) ) = (sigma 2p_(z) + sigma^(**) 2p_(z))`
Energy order : `sigma 2p_(z) lt 2p_(z)^(1) lt sigma^(**) 2p_(z)`
NOTE : (i) The electron spin oppostie in both `2p_(z)`like `uarr and darr `
(ii) Two electron in BMO but ABMO is empty. ` because ` The electron filled in first less energy than in high energy.
The axia figure of MO, `sigma^(**) 2p_(z) and sigma 2p_(z)` are formed by LCAO of two atom ` 2p_(z)^(1)` are as under figure .

Note: () LCAO in Z-axis, so AO form sigma `(sigma)` types.
(ii) BMO `sigma_(2p_(z)) = Psi_(2p_(z)) + Psi_(2p_(z))`
ABMO `sigma_(2p_(z))^(**) = Psi_(2p_(z)) - Psi_(2p_(z))`
(iii) In `sigma_(2p_(z)) ` BMO electron are symmetrical
(iv) In `sigma_(2p_(z))^(*)` ABMO orbital electron COULD is asymmetrical but an INTERNUCLEAR axis.


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