# help please! thank you! can you explain how you do the problem in details? uming infinite crystal field strength, in... can you explain how you do the problem in details?
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

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.

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