Ligand Field Theory Flashcards
What is ligand field theory?
It considers the overlap of ligand and metal atomic/molecular orbitals
It is NOT an electrostatic model
How’re bonds formed?
Bonds are formed by the overlap of atomic orbitals to produce molecular orbitals
How many ∂-donor orbitals are there in an octahedral complex?
There are 6 ligand sigma-donor orbitals
What rule is always upheld in ligand field theory?
We must start and finish with the same number of orbitals
What does a1g mean?
“a” means there is only one hybrid orbital in the set
s - orbital
What does eg mean?
“e” means there’s are 2 hybrid orbitals in the set
What does t1u mean?
”t” means there are three hybrid orbitals in the set
What’re the rules for orbital overlap?
Ligand and metal orbital must have same symmetry label to form MO - this is an absolute requirement
Atomic orbitals should be of similar energy and in the same region of space - proximity - to have strongest interaction.
How many molecular orbitals are formed from t1u hybrid ligand orbitals?
6 total
- 3 bonding
- 3 anti bonding
What’re t1u hybrid orbitals analogous to?
They’re analogous to p-orbitals
What d-orbitals are involved in forming ligand hybrid orbitals?
dx^2-y^2 and dz^2
How many molecular orbitals are formed from eg ligand hybrid orbitals?
4 total
- 2 bonding
- 2 anti bonding
What d orbitals form non-bonding molecular orbitals? Why?
dxy, dxz and dyz
Because there is no ligand hybrid with the correct “shape” / symmetry label to overlap with these metal d-orbitals
What do strong overlaps result in?
Stronger overlaps cause a greater energy difference/split between the bonding and anti-bonding combination
What is the order of the MO energy level diagram of sigma-bond interactions?
Lowest energy
a1g - 1
t1u - 3
eg - 2
t2g - 3 (non-bonding)
eg* - 2 (non-bonding)
a1g* - 1
t1u* - 3
Highest Energy
How many electrons are donated by the ligands to form sigma bonds in an octahedral complex?
12 electrons total
- 6 bonding MOs formed
How does symmetry tell you about the ligand sigma-donor hybrid orbitals for any geometry?
The symmetry tells you which ligand donor hybrid orbitals will overlap with which metal valence orbitals to form MOs.
How many metal valence orbitals are there in a tetrahedral complex?
9
s, px, py, pz, 5 d-orbitals
What symmetry must the ligand donor pair hybrids have in a tetrahedral complex?
Ligand donor pair hybrids must have a a1 and t2 symmetry
TETRAHEDRAL
What is the symmetry label of 4s?
a1