Question

help please! thank you!

uming infinite crystal field strength, into what sets (by symmetry label) will the d-orbitals be split in the complexes of the following shapes: (a) linear ML (b) pyramidal ML3 (c) pentagonal bipyramidal ML

can you explain how you do the problem in details?

Answer 1

splitting of orbitals is directly related with the hybridisation posses by the complex

and as we know the splitting patterns

for S orbital the symmetry set is A1g

for P orbital splitting set is  T 1u

and d orbital splitting into t 2g and e g sets

t​​2g denotes group of three orbitals dxy ,dyz,dzx

and e_{​​​​​​eg}​​​​ set denotes group of 2 orbitals d z2 , d( x2 -y2)

(a) linear complex ML2 has SP hybridisation

symmetrys setsare A 1g , T 1u

(b) pyramydal M L3 has SP3 hybridisation A 1g + T 1u

(c) for ML7 hybridisation pattern is S P3d3

here in octahedral environment = A 1g + T 1g + T 2g

these are the splitting symmytry of d orbital.