T terms are split by what to produce what
theyre split by spin orbit coupling to produce levels whose energy differences are in the order of kT
T terms are temp dependent yes or no
yesss
temp has an effect on the population of the levels and we expect the magnetic moment to be temperature dependent
if the T term is temp dependent,, what else is temp dependent
if the T term is temp dependent that also means that the magnetic moment is affected by temperature
temp will also affect the polulation of the energy levels that the T term splits into
kotani plots,, axis
ueff (magnetic moment)
kT/h
where h is the spin orbital coupling constant
whats h
h is the wavelength looking thing,, this is the spin orbit coupling constant
calculations have happily done before us by other ppl to do what
to determine the effect of spin orbit coupling on the orbitally degenerate ground terms
for each term,, how many plots can be drawn
for each term,, two plots can be drawn
if two plots can be drawn for each term,, ehat 2 plots can be drawn
u have the positive h plot for d1-d4
u have the negative h plot for d5-d9
whats h again
spin orbit coupling constant
d1-d4,, h ,, the spin orbit coupling constant will be
it will be positive
for d5-d9 , h, the spin orbit coupling constant will be what
it will be negative
when we have a kotani graph or any graph,, what can we deduce from the graph labels
u can decude their spin multiplicity
bc this is the thing top left
u do 2s+1 = top left number
then u can see if transitions will be spin allowed // forbidden and therefore predict their intensities
u = if we have spin and orbital contribution
root 4s(s+1) + L(L+1)
do things acc follow kotani plots tho
nopeee
things dont acc follow kotani plots sadly
kotsani plot axis
magnetic moment against temp
why dont things fit with kotani plots
bc of covalent bonding
why does covalent bonding mean that kotani plots dont represent stuff ralistically
bc in covalent bonding, the unpaired e- dont stick by the metal
the e- move from the metal onto the ligand
if the unpaired e- move from the metal to the ligand they cannot contribute to the orbital angular momentum around the metal
wait what are all the reasons that things dont fit kotani plots
why do jahn teller distortions prevent things from fitting kotani graphs
the e- configs are subject to jahn teller distortions
the distortion splits the ground state into A or E terms meaning that the complex will now be temp independent (the e- cannot be places somewhwre with 3 diff arrangements)
when does jahn teller occur
when theres asymmetric filling of degenerate orbitals
the complex removes degeneracy
the splitting of jahn teller can be what
it can be big or small
either way it can be detected by magnetic measurements
the size of a jahn teller distortion can be measured how
it can be measured // estimated by fitting the experimental plot of magnetic moment against T with various ratios of delta/h (h being the spin orbit coupling constant)
delta = the splitting between the singlet and doublet energy levels
A value of Oh corresponds to what
it corresponds to Oh symmetry
the best fit of the graph does what
gives delta value
aka the sep between singlet and doublet values