Energy Associated with t2g and eg Orbitals for Octahedral Complexes

Energy Associated with t2g and eg Orbitals for Octahedral Complexes

Energy Associated with of t2g and eg Orbitals for Octahedral Complexes


The d-orbitals splitted in octahedral field is shown below-
Splitting of d-Orbitals in Octahedral Complexes

Let 'x' and 'y' be the energy of each electron in t2g and eg orbitals respectively. Then we have-
y − x = 10Dq -----Equation-1
The splitting of d-orbital takes place according to the Bary center or center of gravity rule-
so, 3x + 2y = 0 -----Equation-2
Because the degeneracy value for t2g and eg are 3 and 2 respectively.
Multiplying the equation-1 by 3 and adding to equation-2, we get-


3y − 3x = 30Dq
3x + 2y = 0
------------------
5y = 30Dq
or, y = +6Dq
Now putting the value of 'y' in equation-1 we get-
6 − x = 10Dq
x = −4Dq
So, we have the energy associated with t2g and eg Orbitals for Octahedral Complexes are −4Dq and +6Dq per electron respectively.
Energy of t2g and eg orbitals in Octahedral Complexes

In an octahedral crystal field, the t2g orbitals are

a. raised in energy by 0.4 Δ0
b. lowered in energy by 0.4 Δ0
c. raised in energy by 0.5 Δ0
d. lowered in energy by 0.6 Δ0


Energy Associated with of t2 and e Orbitals for Tetrahedral Complexes