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Under normal (thermal) conditions energy must be distributed…
over all modes of excitation (translational, rotational, vibrational, electronic)
The Boltzmann distribution
n(2)/n(1) = e^(-ΔE/kT)
ΔE = difference in energy
n(2)/n(1) = fraction of molecules in ex st.
whats the issue w using very high temperatures in rxns
thermal degradation of reactants
what can Light provide
the energy needed to both overcome the barrier to a reaction and to drive reactions thermodynamically uphill
energy of a photon, E =
ℎν
h = planks constant
v = freq
λ =
c/ν
what does light promote
electronic excitation in a specific manner e.g. bond cleavage
What happens to molecules after excitation by visible light
visible light absorption changes pop of electronic ex sts of molecules
what is Stimulated absorption
photon excites a molecule from a low-energy state to a high energy state
what is Stimulated emission
photon induces a molecule to transfer from high energy to low energy state
what is Spontaneous emission
transition from high energy to low energy state independent of radiation
e.g. of spontaneous emission
flourescence
phosphorescence
what does Born Oppenheimer approximation tell us
that electronic motion is infinitely fast compared to nuclear motion. (e-s move faster than nuclei)
So we assume that the nuclei are static when the electron is transferred
Quantum mechanically what do we use the Franck-Condon factor to describe
transition intensities
what is The transition moment, TM, related to
the probably of a photon being absorbed
what can the total wf (Ψ) be factorised into
the electronic part of the wf, ψ, and the vib parts, θ
spin selection rule
ΔS = 0
what transitions are allowed according to spin selection rules
spin cant change, so singlet→ singlet or triplet → triplet allowed, singlet → triplet or vice versa isnt allowed
when can spin selection rule can be circumvented
s (particularly with heavy transition metals), spin-orbit coupling, means that wf of gr st cannot be factorized into a 1e- wf and Spin
Laporte’s rule
g → u and u → g allowed.
u → u and g → g forbidden.
is μ(w a hat) g or u
u
g × g =
g
u × u =
g
g × u =
u
what is on the horizontal axis of a spectrum
en of the vertical transition
what does the franck condon transition relate to
diff in en btwn gr st and ex st
WL and en
WL not vary linearly w en - reciprocal relationship
what is on the vertical axis of a spectrum
intensity of transition
how to quantify intensity of transition
beer lambert law to give abs coeff
intensity of transition relates to
transition moment, so how well selection rules are obeyed
what can happen to ex st once formed
vr
isc
fluorescence
phosphorescence
what is luminescence
the emission of light (photon)
what is Quantum Yield (φ):
The number of reactant molecules consumed for each photon of light absorbed.
what is quantum yield a measure of
the ‘efficiency’ of the photochemical reaction.
what does it mean if quant yield > 1
suggests that secondary reactions are occurring.
what does it mean if quant yield > 2
indicates a chain reaction.
what is often the cause of very low Quant Yield
solvent cage - geminate recombination
high radiative or non-radiative relaxation of the initial excited state may also cause this.
what orbitals do Ligands which can get involved in p-bonding have
orbitals with t2g symmetry, so these metals orbitals change from being non-bonding. This then changes Δ(o)
what happens to Δ(o) when hv pi-donor ligs
decreases
pi donor lig e.g.
I-, cl-, br-, F-, OH-
what happens to Δ(o) when hv pi-acceptor ligs
increases
pi-acceptor lig e.g.
CO, PR3
weak pi donor e.g.
H2O
no pi-effect lig e.g
NH3
how does pi donor ability affect Δ(o)
strong pi - donor = small Δ(o)
sigma donor = medium Δ(o)
stron pi-acceptor = large Δ(o)
d-d transition features
oft found at ~25,000 cm-1
hv abs coeff of ~100Lmol-1cm-1
La Porte forbidden as in complex w centre of symmetry its a g-g transition
For a d1 metal complex where there are no ligands…
treat atom as having spherical symmetry - all d orbs hv same en
For an octahedral d1 metal complex, when the ligand field increases (i.e. d orbs not all same en)
there are 2 configs possible
as lig dield increases, what happens to gap btwn t2g^1 and eg^1
increases so higher en light is needed to form ex st
in the spectrum of [Cr(NH3)6] 2+, there two transitions from the t2g 2eg^1 ← t2g³ - why?
any of the 3 e-s in t2g set can migrate to either of 2 eg orbs - although they appear same at first, repulsion btwn diff e-s means they are diff ens
discuss: transition from dz2 ← dxy Qualitatively
dz² ← dxy transition - from xy plane to z plane - already got d(xz) and d(yz) that hv e- density in z plane - more e- density in z axis than to start - more e- e- repulsion
discuss: transition from dz² ← dzx
keep e- density in z plane - diff e- arrangement so still diff en but e- e- repulsion so roughly same as kept e- density in z plane
term symbols have general form
^(2S+1) L
spin of e-
½
for a d² complex, what are the lowest energy terms
³F and ³P
what is the Racah parameter, B
a measure of e- e- repulsion
what is LMCT
ligand-metal charge transfer
LMCT vs d-d
LMCT far more intense than d-d transitions
why are LMCT far more intense than d-d transitions
because they are allowed under Laporte’s rule
what do CT transitions oft show
solvatochromatism bc is large change in dipole moment w transition
what is MLCT
metal-lig charge transfer
what do MLCT transitions involve
electrons moving from mainly metal-derived orbitals to those located on a ligand
when are MLCT transitions oft observed
when complex has low lying pi* orbital
diff btwn prompt photochem rxn and delay photochem rxn
length of time from photon absorption to resulting photochem
what is 1 fs
1 × 10^-15 s
M(CO)5 fragments are….
v Lewis acidic
what is a delayed process.
if an excited state has a long lifetime, then it can be considered to ‘equilibrate’ and remains for long enough to undergo chemistry
In general what does charge transfer excitation (MLCT or LMCT) cause
a radial redistribution of electrons between the metal and ligands
what does an MLCT excitation correspond to
metal oxidation (lig red)
what does an LMCT excitation correspond to
metal red (lig ox)
whta is photoredox behaviour
light promoted e- transfer rxns
ex st vs gr state redox
ex st is better red and ox agent
why is ex st easier to oxidise
gr st -high ionisation en - lot of en to remove e- so hard to ox
ex st - bc e- in higher orbitall, IE reduced so ox easier
why is ex st easier to red
gr st low e- affinity so doesnt like gaining e- so hard to red
ex st ‘hole’ in bonding manifold so EA increases and ex st easier to red
The electron affinity of A is greater than the electron affinity of A* by
the energy needed to excite A to A*
a more -ve potential means
better red agent
a more +ve potential means
better ox agent
what is Photosensitisation
the use of molecules which absorb light to promote light driven reactions of molecules which do not themselves absorb
what are LAS
absorb light and direct its use to subsequent chem
2 types of Photosensitisation
LAS - light absorption sensitisers
LES - light emission sensitisers
what do LES do
act to emit light en. exploit chem rn produced in a rxn by molecules which cannot emit light themselves
whta is deltaG for a rxn to be thermodyamically fav
-ve
peak irradiance in solar spectrum
at ca 500 nm
leading method of creating device which utilises as much of the Sun’s radiation as possible
through Grätzel, or dyesensitised solar cell (DSSC)
Grätzel, or dyesensitised solar cell (DSSC) oft based on
semi-conductor e.g TiO2
what is used to absorb visible light in Grätzel, or dyesensitised solar cell (DSSC)
sensitiser e.g. Ru complex
components of the Grätzel cell
3 components
TiO2 semiconductor
photosensitiser (PS) e.g. Ru complex
reductant
overall affect of the Grätzel cell
to convert absorbed light into en
what is an attractive way to make dihydrogen
light-promoted splitting of water
light-promoted splitting of water rxn:
H2O → H2 + ½O2
deltaG +ve
ex st of [Ry(bpy)3]2+ lies at…
2.12 ev