Magnetic and spectral properties of TM properties Flashcards
Singlet
spins of electrons are in different directions
Triplet
spins of electrons are in the same direction
Selection rules for electron transitions
the selection rules tell us about the probability of a transition and hence the intensity of the resulting band in the spectrum
- spin selection rule: ΔS = 0
- laporte selection rule: a change in parity is required, since a photon has angular momentum
Approximate wavelength ranges of the different colours (nm)
red: 700-620
orange: 620-580
yellow: 580-560
green: 560-490
blue: 490-430
violet: 430-380
Why are electronic spectra bands broadened?
spectra are broadened through the effects of molecular vibrations and rotations
Molar extinction coefficient, ε
the proportionality constant: how intrinsically intense the absorption is (can be defined at any wavelength)
What do ⫪-donor ligands do to Δ o ?
small Δ o
What do ⫪-acceptor ligands do to Δ o ?
large Δ o
What is the energy of transitions for d 1 , d 4 (high-spin), d 6 (high-spin), and d 9 ?
the energy of the transition is equal to Δ o
What are the energy of transitions for d 2 , d 3 , d 7 (high spin) and d 8 ?
complexes of these ions show more than one band - usually two or three - of very different energies
What do electron-electron repulsions depend on?
they depend on the arrangement of the electrons in the different d orbitals and on their spin
(repulsion is different according to which d orbitals the electrons occupy).
Russell-Saunders coupling scheme
spin-spin: coupling of spin angular momenta of electrons
→ S then 2S+1
orbit-orbit: coupling of orbital angular momenta
→ L
spin-orbit: coupling of the spin and orbital angular momenta
→ J
(only a small effect for 1st row TM)
Term symbol
a kind of ‘shorthand’ describing the energy, angular momentum and spin multiplicity of an atom in any state
(Different terms have different energies)
How to identify lowest-energy states using Hund’s Rules
- The ground state has the largest spin multiplicity (2S+1)
- If two terms have the same spin multiplicity, the term with the larger value of L is the lowest in energy
- For <1/2 filled subshell, ground state has lowest J and vice versa
What is the “weak-field approach”?
it assumes that the effect of the ligand field splitting is substantially less than that of interelectronic repulsion
What is the “strong-field approach”?
where the ligand field splitting is assumed to be much larger than the interelectronic repulsion
What do orgel diagrams show?
the effect of ligand field on the relative energies of the terms
(energy v splitting plots)
Requirements for orgel diagrams
- High-spin cases only
- Spin-allowed transitions only (i.e. only those states having the same spin multiplicity as the ground state are included - except for d 5 as none are spin-allowed)
What is an electron hole?
a single electron in an empty d-orbital
(same as a +ve charge in a filled d-shell)
What are term symbols used for in spectroscopy?
To describe the electronic states of atoms or ions based on total spin (S), orbital angular momentum (L), and total angular momentum (J).
What is the spin multiplicity of a singlet state?
1 (i.e. 2S+1=1, so S=0)
How do you determine the ground term symbol?
Use Hund’s rules:
- Maximum spin
- Then maximum L
- For < 1/2 filled subshell, lowest J
- For >1/2 filled subshell, highest J
What do Orgel diagrams represent?
Orgel diagrams show the energy levels of high-spin d-electron configurations in weak field ligands
For which d-electron configurations are Orgel diagrams useful?
Mostly for d 1 to d 7 in high-spin complexes since d 8 and d 9 are too complex