please explain the lcao combination in detail

Asked by saket shandilya | 10th Jan, 2014, 11:37: AM

Expert Answer:

Linear Combination of Atomic Orbitals (LCAO)
 
A linear combination of atomic orbitals or LCAO is a quantum superposition of atomic orbitals and a technique for calculating molecular orbitals in quantum chemistry.
 
Molecular orbital (MO) theory uses a linear combination of atomic orbitals (LCAO) to represent molecular orbitals involving the whole molecule. These are often divided into bonding orbitals, anti-bonding orbitals, and non-bonding orbitals.

For LCAO, the two atomic orbitals must be of similar energy and the number of molecular orbitals formed should be equal to the number of atomic orbitals taking part in combination.

An LCAO approximation is a quantum superposition of atomic orbitals, used to calculate molecular orbitals in quantum chemistry.

According to Linear combination of atomic orbitals (LCAO) approach, the molecular orbital formed by additive effect of two atomic orbitals are called as bonding orbitals(NB) and that of due to subtractive effect of atomic orbitals is called as antibonding molecular orbitals (NA).

Now, the bond order of the molecule is calculated as: Bond order = 1/2 (NB -NA )

Only that molecule will be stable or constructive for which, NB >NA ( i.e bond order greater than zero) and if NB < NA or NB =NA , i.e bond order zero or negative then the molecule will not exist.

In case of He2 molecule, the electronic configuration of He = 1s2

so, the energy level MO diagram will be as :

 

Here, the bond order = 1/2 (NB -NA) = 1/2 (0-0) = 0

Since, bond order is zero, so the molecule will not exist.

Answered by Hanisha Vyas | 15th Jan, 2014, 12:12: PM

Queries asked on Sunday & after 7pm from Monday to Saturday will be answered after 12pm the next working day.