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okay um so i wanted to start
kind of with the i want to share with
you guys what's going on in
in my driveway at the moment um this is
my my younger brother's
car it's a uh 1978 fiat spider
and my brother is uh 18 years old
now and he got this car when he turned
16 he purchased it from
our neighbors up the street and when he
purchased it it was not running
and of course now it's missing a wheel
but uh
i had to push the car down the street to
get into our driveway and so my
brother and my father have been working
on it over the past few years
and they've had it got it up and running
um you know it's very
quick fairly quickly after getting it
but they've always been
changing things and they've taken the
entire engine out of it and
replaced the transmission and and all
that um but this is just kind of recent
work and
what was interesting why i'm why i'm
bringing this up is that
they um they had the engine block
re-surfaced so they took the engine
block out and they
they sent it to a machinist in seattle
who
who re finished the engine block so now
it looks
nice and clean as you can see here so
this is the end the
i don't i'm not too familiar with all
the the lingo
um the mechanic lingo
so i might be making up some words that
don't make sense but this is the the
engine the head of the engine block
and um this these areas are where the
combustion reaction happens right the
gas and
uh oxygen mixture combusts and there's a
the spark plug comes out here
and then these areas are where the
valves open and close to allow the
oxygen or the the gas in
and um so this whole thing was uh
chemically treated and cleaned and then
resurfaced but
what i wanted to point out is that this
these engine blocks
are are typically sand casted aluminum
and you guys are familiar with sand
casting and i wanted to show you some of
the surface features of this
resurfaced engine block and
um you can see the porosity in the sand
cast
it has very high porosity just evident
just through
visually inspecting it and
what's what's also interesting is that
you know fiat
is also notorious for for having parts
break down on it and in fact uh my
father
that was talking with a a machinist who
was who's making these parts
or specializing the fiat parts and he
said yeah the engine blocks have always
been notorious for for
it's uh low quality and i think it's
pretty evident of this you know high
porosity that
these are kind of poor materials but
also why this is out right now
is that my brother was adjusting the
timing of the
of the of the car the engine
and um the timing is important because
the timing
is uh you know when the spark will will
ignite
compared to the height of the cylinder
that
the piston and also the valves when they
come out and so if you want to get it at
the right spot where
you have the spark right at the top of
the cylinder or whatever so you have the
right compression ratio i'm not i'm not
too familiar with
you know the exact uh lingo but what
happened is if the timing is off by too
much
that the head of the cylinder that
piston that's going up and down
will bump into the valve that's opening
which is this
the valve seat is right here and so what
happened is my brother
uh accidentally put the timing a little
bit too far off time
and the top of the cylinder bumped into
this valve that would open
and broke off and so now it's inside
this chamber that's
bouncing around you can see how it's
deformed the pieces of this cylinder
valve have broken off and deformed
inside while while the engine was
running
and so if we had to take the whole thing
they had to take the whole thing apart
again uh this time the engine could stay
in the car just taking the the head off
is easier
and what they did recently is they went
to a i guess a scrap yard
that had the same car and got the same
part from an
old your retired car and so here's the
same kind of part you see these are the
valve
uh parts that kind of open and close and
that's what was destroyed and so they're
going to clean this up and replace the
one that was damaged
which is too bad because it's nice and
clean already but anyways
just just a little bit of material
science uh i thought i would share
what's kind of going on in in our time
off
but that's my brother my father have
mainly been doing that
okay so let's um we're going to talk
about
a bit more about the electrochemistry i
wanted to go over some things we learned
last lecture
some things that i might have missed and
clarify some things
and we'll talk a bit more about
batteries um so last time i talked about
the standard reduction potential right
this list of potentials that these
different species will
reduce at i've i failed to emphasize
that these values are measured at
standard state
so they're empirically determined at
standard state conditions and the
standard state is at 25 degrees celsius
one atmosphere
and then also most importantly is the
concentration
of the species so in all of these uh
these cases with exception for some like
the the metals like zinc metal
zinc metal you can't have a
concentration in solution it's a solid
but like iron three plus iron two plus
the concentration of iron three plus is
equal to the concentration of iron
two plus and and for standard state i
think they keep it at one molar which is
a bit high in my opinion but
uh so these values are only accurate
when
it's at standard state and that's why
it's called the standard reduction
potential it's given by this notation
the
the e with a little knot above it that's
the standard
reduction potential so if we uh in just
looking back at this example where we
had the cell
of the iron two and three plus and the
zinc two plus and zinc metal
well this this potential that we
calculated the standard redox potential
of the reaction
it's only accurate if we say that the
concentration of iron two plus is equal
to the
concentration of iron three plus and
then the concentration of zinc two plus
is one molar
uh okay so that that's only the case and
i
kind of forgot to mention that i wanted
to go over that in more detail
you know what happens to the voltage of
this cell
if the concentration is not the same for
each species okay so what does the
voltage look like in that case
and this follows uh what's called the
nernst equation
okay so this equation relates the
voltage the redox potential
of the species related to its standard
reduction
to potential at standard state and then
how it changes concentration so minus
rtr is the gas constant t is temperature
in kelvin
n is the number of electrons involved in
the reaction so for iron two plus iron
three plus it's only one electron
like zinc two plus the zinc metal is two
electron reaction
um f is faraday's constant relates the
the amount of charge
in one mole of electrons and then q
r is the the um i want to say reaction
quotient
reaction quotient that is the ratio of
the products of the reaction
to the the uh
reactants of the reaction okay so
if at standard state the products and
the reactants are at equal concentration
and here i've plotted
the reduction potential versus the
the ratio of the products to the
reactants of that reaction of this uh
this redox reaction and you see if
they're equal so
it would be one over one or it would be
equal to one
that is the value of the standard
reduction potential and for iron
to the three oxide it's 0.77 volts
but as we increase the amount of
reactants
which would be iron in this case would
be iron three plus if we increase the
concentration of iron three plus
relative to iron two plus
the voltage of this of this redox
voltage
increases okay and the opposite is true
for if we increase the
amount of products okay this this should
be familiar with you should be familiar
with this
you've probably learned this in freshman
chemistry and even high school chemistry
this is uh a principle called
le chatelier's principle okay and that
that
says you know if you have more product
then the reaction will be favored to go
in the reverse or if you have more more
reactant it'll be favorable in the the
forward reaction
all right so all we're saying is that we
have more reactant versus product and so
there's going to be a higher a greater
thermodynamic driving force
for that reaction to proceed instead if
it had more
product than reactive okay i mean even
if
even if the amount of product is very
low
or excuse me if the amount of product is
very high there's still a positive
potential which means there's still a
thermodynamic driving force for that
reaction to proceed it's just lower than
if it was the other way around okay uh
so here's an example
of that uh i i've taken two cells
uh a solution a and solution b and they
are both made up of
iron two plus and iron three plus but
the difference is the difference in
concentration of the three plus to two
plus
so in solution a we have a greater
amount of
uh iron three plus solution b solution b
we have a greater amount of iron two
plus so you can use the nernst equation
to calculate the
the redox potential in solution a okay
so we have the standard redox potential
of iron is
0.77 and the natural log
of the concentration in this case is one
the concentration of the product iron
two plus is one in this case and the
reactant is ten okay so it has a a
redox potential that's above its
standard redux potential
and the opposite is true for solution b
as a redox potential that's lower
so if you compare these two together
there is a
potential difference between these two
cells so if you were to take the
multimeter and measure between you you'd
see a voltage and that voltage is the
difference between these two
so the cell voltage is just the
difference between the reduction
potential of
solution a and solution b so you can
always take the
the higher number minus the the smaller
number
and that will be that can indicate which
direction like electrons will flow
and which what species will be reduced
or oxidized so in this case i've used
the reduction potential but in the
previous example of the zinc
i had used oxidation potential which is
just the negative
of reduction potential all right so it
is the the
the opposite here so you have to
add uh the oxidation potential in this
case
um so the question is
is is this when will this uh reaction
stop
all right so if we if we were to short
circuit this you know
just put a wire across this then
electrons will flow from
this side the iron two plus will oxidize
it'll give
electrons and flow into this side and
reduce the iron three plus and that will
continue
until a certain point and that is of
course equilibrium of the entire system
but the question is when does it reach
equilibrium
okay so we know at equilibrium
there is no net prod uh production of
product and there's no there's no net
forward reaction there's no net reverse
reaction
okay so that means that
the potential between these two cells at
equilibrium would be
zero all right so or gibbs free energy
would be zero right there's no
uh thermodynamic driving force to go one
way or the other
and so the question is you know when at
what concentration of these two cells
will that
occur at when will the the reaction stop
uh taking place
and in this example i i should have
started with nine and one to make the
total
10 but the total concentration of iron
is actually 11 so that's kind of my
mistake but that's fine
so the total concentration of iron in
this case is 11
so when this cell has a concentration of
of 5.5 millimolar iron 3 plus and 5.5
iron 2 plus and that's the same as this
cell that's when the voltage between the
two will be zero
okay and so that's when the reaction
will stop the electrons current will
stop flowing
between the two there's no potential to
to drive
the current um so another question is
you know in this example is fairly
simple the concentrations are the same
in both
right the total amount of iron in both
cells is 11 millimolar
what if one of the cells had a much
higher concentration of iron for example
let's say solution a
had a 100 millimolar iron three plus and
one millimeter iron tubeless but
solution b was kept
the same all right then what would the
the final concentration be now before
this lecture i had prepared
the slide but unfortunately i lost it
and it didn't save
and i'm wondering we could go through it
um
but actually this lecture this morning's
lecture was kind of long so i think i'll
skip that
but uh the answer is you know for if
you have to think of um as
you take electrons away from solution b
all right for every like one millimole
of electrons you take away right you're
you're creating one millimole of iron
three plus and then the same for this
solution you're you're giving it one
millimole of electrons you're
you're creating one millimole of iron
two plus so
if this was 100 millimolars the the most
this could change in concentration at
the maximum let's say it took all the
electrons away from these irons
then the most it could be would be it
would be 9
or excuse me 10. it only has 10 electron
millimolars of electrons to give
so this would be become what 90 instead
of 100. so that would be
the maximum but it's not going to reach
that state
because remember the reduction potential
of these solutions
depends on the ratio of product to
reactant
okay so actually uh before it depletes
all those electrons that ratio is going
to create
such a a potential that
the it's going to equilibrate and turn
to zero
it's a bit it's a lot more clear when i
have that extra slide i'll i'll see if i
can upload it and
later it'll make more sense but let's
move on
so this is something i was thinking
about last night when i was making these
slides
is how how is this different
than having just iron and two plus and
three plus in solution right i mean
what's what's stopping from
stopping this iron two plus two for from
giving electrons to this iron three plus
and
reducing it right it's kind of kind of
similar to this and um
if the concentrations are different
right i i i'm embarrassed to admit i
spent
a long time thinking about this and i
was i was
it was driving me nuts thinking why why
it didn't make sense um and the reason
is
well of course in solution you you are
having
this electron transfer between iron two
blocks and iron three plus all the time
right it's it's fine it's natural to to
have some exchange
but the point is that i was missing is
that if you remove
an electron from this iron atom
and give it to this iron atom the
concentration of iron three plus and
iron two plus does not change right you
just removed it from one iron and gave
it to another and
it took me about an hour to figure that
out like oh i'm
i was a little bit embarrassed about
that anyways
so it is different this solution you
could say is at equilibrium it has
equilibrium potential
this system this system is not at
equilibrium
okay until the voltage reads zero but if
you're just looking at individual
solutions you could say yeah that
solution is at equilibrium
but the system is not um
that's you know particularly introducing
the salt bridge
uh will put the the give you this this
potential between the two electrodes uh
in a side note i
i was at a museum in uh germany this is
related it's related i was
in germany with my wife and i when i was
an undergrad and we were vacationing and
i went i think it was in dresden we went
to some science museum and there was
this really cool demo
that talked about the like corrosion
potential between different metals
or the activity between different metals
where they had a metal
like a one type of metal like aluminum
and add another type of metal
copper and they were like plates and it
had a volt meter just like in the setup
okay and
the idea was you would put your hands on
these plates
and then the voltmeter would read a
voltage okay
so how does that work it's it's very
similar
to to this setup where you have
you know say you have the copper plate
on one side the
aluminum plate on another and they're
connected to the voltmeter that we're
looking at
and then you your your own body is
making the salt bridge
to connect the two and that's when the
voltage reads so your body
is the electrolyte to for this uh to
make this
uh to measure this potential difference
and i thought it was really cool because
there's all these different metals and
you put your hands on different things
and it make the volt meter
go to different voltages anyways so
pretty cool demo you can you can try out
if you have a volt meter and see if it
works
okay so here's a method of determining
the the standard reduction potential
uh this is called potentiometric
titration
and there's other types of titrate
titration is when you when you
when you add a species to a solution
like drop by drop
and you're measuring the volume added to
the solution
okay so like there's uh you're probably
familiar with a
acid-base titration right you might have
a solution that has an indicator that
changes color
when it reaches a certain ph and then
you titrate it with an acid and you're
measuring the volume
added to that solution and you're modern
monitoring it and then all of a sudden
it hits that that
that ph and it changes color so that's a
acid-base titration
in this type of titration you have a
species
of redox active ions in solution so in
this example we have
a tin two plus in iron two plus just a
hundred percent
two plus hundred percent iron two plus
and we're titrating it with
this this ion this is um
and correct me if i'm wrong i think a
cerium
i believe cerium i could be saying that
wrong cerium four plus
um so cerium four plus it has a very
high reduction potential
1.6 volts so that means if it comes in
contact with any of these ions
it's going to easily oxidize those ions
so those ions are going to oxidize
they're going to
they're going to iron cesium four plus
is going to steal an electron from those
ions
okay so if we start
with this solution of two plus ions and
what
you do is that you measure the redox
potential
so the potential between the platinum
and the a reference electrode such as
a standard hydrogen electrode so you're
measuring the whatever reaction is
happening at the surface of this
electrode
as you titrate it okay so this this is
very much at equilibrium
you add a little bit of cerium you you
let it mix up
together and so it
goes to equilibrium and you measure the
voltage and so you take these
different points as you add the cerium
and you measure the volume of cerium and
that's
relative to the concentration of the
cerium okay and you'll get a plot like
this
and this plot very much is the nernst
equation
for each species so all i did as i
modeled the nernst equation
for 10 2 plus the 4 plus and then i also
modeled the neurons equation 2 plus the
3 plus and i just kind of added them
together
and the at the inflection point is the
standard
reduction potential and remember
standard reduction potential is when
the concentration of the product is
equal to the concentration of the
reactant
all right so at this potential and or
that this volume added
you have reduced half excuse me you have
oxidized half of the tin
ions in solution all right and then you
continue and then at this point you've
oxidized all of the tin ions
and then you start oxidizing the iron
ions and then this at the halfway point
as the standard redux
potential is a half of the iron
ions have been oxidized now one question
is uh you know when you drop the cerium
in why why is it that only the tin
oxidizes and not the iron
okay because i mean iron is also lower
in reduction potential than the cerium
so you know both of these are are fair
game to being oxidized right
but but if you were you were to measure
it you'd only see the tin
oxidized um so in reality when when we
drop this liquid in and the cerium
reacts with the the liquid it could very
well yeah it's very possible that it
does oxidize
the iron two plus the iron three plus
however
iron three plus also has a higher
reduction potential than tin four plus
okay so that means the iron three plus
is oxidizing any
tin two plus that's uh present as well
so any
iron iron two plus that gets oxidized
it goes forward and oxidizes tin two
plus and becomes reduced again
anyways okay so that's potentiometric
titration and again
the important of this type of technique
is that it's at equilibrium
all right each data point we collect is
at equilibrium
now we'll talk about cyclic voltometry
and i introduced this before
but what's different with cyclical
optometry is that we're not
we are no longer at equilibrium all
right so
in this type of test you might have a
three electrode cell like this where you
have the working electrode and that's
that's going to be the reaction that
you're you're interested in
so you're measuring the voltage of that
reaction against a reference electrode
and then you're applying a current
between that and the counter electro so
all the purpose of the counter electrode
is only only to provide electrons or
take away electrons but we're not really
interested
at what whatever redox reaction is
happening on that surface
because we're not measuring the voltage
now i said with the
we're supplying our current but i mean
really we're controlling the voltage so
this type of test
we we have we we control the voltage
and we set it so that it it linearly
increases at a certain rate and then
decreases a certain rate between
you know arbitrary points that we select
uh it's important that these voltages
are within like the
electrolyte rate range so if you're
working with water
and if you push the voltage too far then
the water or the electrolyte will start
breaking down as well and you'll get
other
things that you're not interested in um
okay so here's a
this should be a video if i click or a
um
let's see yeah this happened in the
morning too oh there we go
so this is the the test okay so we start
out
uh at a negative potential okay let's
say we're starting with iron
ferrous chloride it's a hundred percent
iron two plus
and we've set the potential to negative
four so again we're
in this test we're applying a potential
rather than
uh just measuring it at equilibrium so
it might
it's not necessarily at equal this is
below the equilibrium
potential of the iron but iron has
already been reduced completely so
you're not going to see any current yeah
the y-axis is current
going through and the x-axis is the
applied potential
so we're not at equilibrium at negative
0.4 and this is
voltage versus the standard reduction
potential so at zero volts that's just
going to be for iron
0.77 volts versus she um
so yeah so we're below the equilibrium
potential but again
all the iron has already been reduced so
it's no it can't
be reduced anymore and we sweep the
voltage
we increase the voltage and then we
start to reach the reduction potential
and that's when we see current and the
current corresponds to the reaction the
electrons are being
delivered to the iron or taken away from
the iron two plus and it's oxidizing at
that surface
okay and then we reach a maximum point
the reason why we reach a maximum limit
in this case is that the concentration
of iron two plus at the surface of this
platinum electrode
is decreasing as as we're as we're
oxidizing the iron two plus the
concentration decreases
okay and eventually we reach a limit
where there's no
longer any any iron two plus available
but there's still
there's still plenty of iron two plus in
the bulk of the
electrolyte it's just not at the surface
of the the electrode
and so what happens is we've reached a
diffusion limit
so we're we're waiting for the ions in
solution to diffuse
to the surface and then also the iron
three plus in the uh
against the surface to diffuse away from
the surface all right so that's why the
current starts to
go down even though there's plenty of
iron two plus still in the solution the
current starts to go down
because of a diffusion limit so it's a
it's a kinetic
limitation and this peak current also
can depend on you know the size
of this electrode if you have a higher
surface area of course you're going to
have more
more uh a higher current um than a
smaller like a wire a platinum wire
okay so we're continuing to push this uh
this voltage let's see if i can
go up and then we reach the the final
voltage and reverse it
okay so we've reached our end voltage
which is would be this point here and
then we start to sweep the voltage down
okay so at this point we still have
positive current
see it's above zero if we have positive
current that means that
electrons are flowing away from this
electrode they're flowing out of that
electrode we're oxidizing it so we're
still oxidizing
the iron because there's still plenty of
iron available until we reach
zero and at that point then we switch
from oxidation
to reduction okay so now the electrons
are flowing to
the platinum electrode here and reducing
the iron three plus species
and then the same thing happens that you
you have a diffusion limit of the iron
three plus available at the surface
and then it continues to go okay
so that's that's an interesting to think
about and this kind of um
the fact that you know we're at we're at
a positive potential
versus she so remember this zero it
should be really just
0.77 actually we're at 0.77 volts above
she and we
we have both you know pot we can have
positive current
or negative current and you know for the
longest time
i i forget when i learned this but i
always thought you know if you have a
battery
and you discharge the battery right
you're getting current out of the
battery and then if you want to recharge
the battery all you have to do is apply
a reverse
uh current you know if if your if your
battery discharges at three volts and
you want to recharge it you apply
negative 3 volts
and that is entirely incorrect if you do
that you're going to you're going to
blow up the battery
all right if you want to recharge a
battery let's say your lithium ion
battery discharges at 3 or 4 volts
to recharge it you actually want to
apply a higher voltage across the same
terminals you're going to
increase it to 4 volts or 5 volts okay
so it's kind of interesting to think
about
you know even though in both cases we
have positive voltage
across the electrodes it's
it's um the current can be either
positive or negative which is
kind of strange now now the that's
versus a references
of course versus the other electrode
um the potential is does change
so that's that's where it that's a bit
different
so here's another thing to think about
let's say we're running our test
and we start increasing the current and
we we hit this zero volts all right they
were at the standard state
if we were to stop the test let's say
let's say
uh we'll not necessarily stop but we we
hold the voltage at zero if we were to
hold
the voltage at zero what would happen
okay we hold the voltage at zero we
don't
we don't progress any higher or lower
what happens is the current will decay
along zero okay until it reaches zero
volts
all right and at that point we know that
zero volts the the versus the standard
reduction potential
that is when the product is equal to
the reactant okay and actually in this
case because
uh in this setup it doesn't make too
much sense actually i'll show in the
next setup
but because there's a bulk solution of
iron two plus we would probably never
reach we might not ever reach a
zero because there's still going to be
plenty of iron two plus
in the bulk that's diffusing so we'll
probably reach its current limit i
i want to correct myself there but the
next slide it makes more sense
um so yeah this type of cyclic
voltometry has this diffusion limit
okay but there's another type if you
take this electrode and you move it
around for example this is called a
spinning
disc electrode so
if you it's basically electro a platinum
electrode that's a
disc and it spins in solution and as it
spins it's creating a convection
current in the solution so you're always
delivering fresh
iron two plus to the solution and so it
no longer has that diffusion limit where
the current goes back down
but still has a current limit and this
current limit
depends on factors like the
concentration of ions
the the size of the electrode the the
speed that's spinning at
and also what's important is the
diffusion
of the the redox active
species right so you can use this type
of test
and if you know all those other
parameters you can calculate the
diffusion
coefficient of that ion in solution so
that
is kind of an interesting test to do if
you need to find diffusion coefficient
of ionic species
in uh redox ionic species in the um
the solution okay so again
these this type of cyclic voltmeter this
type of test
we're taking it away from equilibrium
and driving the reaction so in these
what i've showed is that we have a redox
active species as part of the
electrolyte it's in the solution
but batteries and other materials
the redox active solution is not you
know it's not an
aqueous ion it's actually a part of a
solid
okay so in this case the all the species
are already present at the platinum so
depending on what the material is you
don't have to worry about diffusion
of of your redox active species to the
surface
anymore it's already on the surface and
if it has high electrical conductivity
then it has no
no problem and then you would expect a
curve like this where
uh you'll have zero uh when if the
entire species is reduced
and then you start oxidizing and then
you're starting to run out of uh
the material is starting to become fully
oxidized and then at this point
c all the redox active species on the
electrode have been fully oxidized so it
should reach a
current of zero and then you can do the
opposite as well
but oftentimes in uh electrode materials
like battery materials
there's still an influence of diffusion
so you'll still see
that these peaks will shift away from
zero and because of the diffusion limit
and that's because you know if you have
a lithium ion battery
you're still relying on the lithium from
solution to diffuse
into the material and so you can you can
still deplete the concentration of
lithium at the surface
and so you're still limited by that and
not only that that's the
the solution resistance but also the
the diffusion resistance inside the
material right so you can you can
intercalate lithium or sodium right into
the surface of the material but it still
needs to diffuse throughout the material
to make room for more lithium or sodium
and so that can also limit the limit
this reaction
and so if that happens you'll see a
splitting of the peaks
okay and in general if if you increase
the scan speed right if you if we if
we're sweeping the voltage faster
you'll see a bigger split in the peaks
and also the current will also
increase but you'll see a bigger split
because diffusion is uh
more limited at faster scan speeds
okay
um oh yeah so in this example this is
where i can talk more about you know if
you were to take this uh
material and bring it you know measure
it up to this point at zero volts
uh versus its standard reduction
potential and you were to stop the test
okay what would happen well remember
even even if we have
are applying uh zero volts versus the
standard reduction potential
it's not at equilibrium even if we're
applying the standard reduction
potential it's not
equilibrium yet because we have current
we still have current if you have
current it means there's a reaction
undergoing and so that means it's not
equilibrium but over time if you hold it
at zero volts the current will
decay the current will go down and then
reach zero current and then once it has
reached zero current
then you're at equilibrium okay another
thing to think about is you know what if
we had taken this
material pushed it to zero volts and
then stop the test
and then do no longer control the
voltage if we
if we if we no longer uh apply a current
basically if we disconnect this wire you
know we push it to zero volts and we
disconnect
this wire what would happen to the
voltage the voltage would go back down
because when we had brought it to zero
volts by forcing electrons in or out of
the solution
that's not at equilibrium remember this
cyclophotometry is not at equilibrium
we're pushing it away from equilibrium
in order for the reaction to proceed
and if we had stopped it at this point
it would go back the voltage would go
back
to whatever its equilibrium voltage
would be would probably be it depends on
the number of species that had already
been reduced
would be probably somewhere and again if
we had
if we had driven it all the way to zero
held it there the current goes down to
zero
left it then at zero half the species
are reduced and half the species are
oxidized okay okay um oh yes another
question
to think about is in these three
electrode cells
i mentioned this before you know we're
taking electro
electrons away or giving electrons to
the counter electrode
so there's some sort of redox reaction
occurring at the counter electrode but
like i said we don't really care about
it
but in my research i was interested in
learning what exactly it was going on at
that
um in part of my research i was
investigating mixing
uh non-aqueous and aqueous solvents
together
and doing three electrode tests but one
of the problems was i wanted i wanted to
keep the concentration of water
in my non-aqueous solvent consistent
and but the problem is in a three
electrode test if you have your
counter electrode providing or taking
electrons
it means that something is breaking down
at that side
which meant that the water was breaking
down i wanted to keep that consistent so
i
in this experiment i just had a
completely aqueous
cell so it's all water and i had a
electrolyte
i had my material on carbon cloth
electrode
okay and what's different about this
cell is that you know typically right i
have my voltage
against the reference electrode which is
in this case with silver silver chloride
is a different type of electro reference
and the
material and then the current between
that and the counter electron
electrode but also on another channel i
was measuring the voltage
between platinum and reference which is
kind of unusual
this is the typical cv curve of my
material which again was
prussian blue and this is in water
so it's uh you have two different
species of iron and that's why you get
two
different peaks on cv because you have
they're
two different chemical chemical
environments
what's surrounding them is one is is
carbon the other one is nitrogen
so that changes the energy of the iron
so that changes the
reduction potential of the iron for each
one
and so what i did this is a little bit
confusing but i'll go through it
so on the first graph is the measuring
in blue this is the cyclic voltometry
scan all right so we're just controlling
the voltage
we're pushing it away from equilibrium
and uh
and it's sweeping it and then the red
curve
is the current of the cell okay the
current between the
carbon my my active material and the
counter electrode
the second graph is the voltage in blue
again
from the counter electrode to the
reference electrode during the same
during the same time during the test
okay and what you'll see is during high
peaks of
current when we when we we need to
supply
a lot of electrodes or receive
electrodes
you see the voltage against the counter
electrode
uh is negative and then when we switch
the current
it goes to the positive and so if you
see this plateau here i measure that
plateau
that potential at these two plateaus for
the counter electrode that corresponds
to the the
the breaking down of water the
electrolysis of water
okay so that's what is happening on this
counter electrode during our test
is that we're breaking down water and
either giving away electrons or
receiving electrons
so if we look at that in more detail so
during the
oxidation of my my material i need to
take electrons away from the material so
this is reaction a on the counter
electrode or on the counter electrode
the water is receiving electrons at this
negative potential
and breaking down into hydrogen gas and
hydroxide ions
okay and then on the reverse during
reduction of my material
i'm giving it electrons so that means
that the counter electrode needs to
supply electrons
so we have positive potential where we
break down
water into oxygen gas and hydrogen
ions and we give away electrons all
right so that that these this is uh
you know the where these electrons are
coming from
in the circuit right but again we're not
too interested in this
and as long as the cell is a large
volume
you know any changes in ph should be
rather insignificant okay unless you're
going to run the test for you know a
very long time
or if the cell size is very small then
it could influence it um
one more thing you know so i drew these
lines the lines represent the standard
reduction potential or the the reduction
potential
of uh water either reducing or
oxidizing but you notice that the actual
voltage
is either lower or higher than those
lines
corresponding to the amount of current
that is needed to supply
and so this this uh either over
potential under potential
we call it over potential and it's an
additional thermodynamic you know
driving force to
increase the the rate of the reaction i
like to
think about it in related to
how phase diagrams work for like for
example the iron carbon phase diagram
the steel phase diagram you guys are
familiar with this
you know if you're going from austenite
to um
perlite for example or austenite to
alpha ferrite
right you at high temperature the y-axis
is temperature
and you start an austenite and you lower
the temperature
and you reach that line right that line
is the equilibrium line
and then in order to transform austenite
into perlite you need to go take bring
the temperature below that line
and so that's that's called under
cooling is the amount of temperature
below that phase equilibrium they have
to bring it
to increase the thermodynamic driving
force for this transformation to
occur and you guys know if you bring it
if you quench the material if you bring
it down
faster and faster more and more that's a
higher thermodynamic driving force
for that transformation to occur the
same idea can be applied to these
voltages
is that you know this line represents
the phase
equilibrium between you know the
breaking down of water
and we need to bring the voltage lower
than that to increase the thermodynamic
driving force for this reaction to occur
so we can either supply or receive more
or less
electrons okay so that's called
overpotential
and the amount of overpotential is
related to the resistance
in the cell for example diffusion
resistance
water is kind of different because water
is everywhere in the cell but let's say
there's a different reaction happening
where you needed ions from the solution
to come to the surface
right and just like before we had
diffusion limits
you know that can add additional
resistance
and you might see this voltage drop even
lower in order to get that required
current that you need because
of the slow diffusion of ions to the
surface
that's one i one way there's other other
other things that can increase this
resistance such as the the surface area
of your electrode okay if you use a
small wire
that has very small surface area as your
counter electrode you have
you don't have too many active sites for
electron transfer
but if you use a large sheet a larger
film of platinum for example has a
larger surface area
you know you have more active redox
sites
on the surface so uh the you don't have
to have as much
over potential to create the same amount
of current
okay i i like to think of it and i'm not
sure if this is correct
although i i'm pretty sure you can be
thought of this way as ohm's law
so if if we require a certain amount of
current
but there's a certain amount of
resistance in our
cell for example the diffusion
resistance or the the
the electrical resistance then that
creates
a certain amount of over potential which
is the potential drop
in the cell uh beyond of like this
equilibrium
position okay so as i
goes up as i goes up like this red line
has a peak then the voltage drop
also goes up okay
oh okay so since we were talking about
prussian blue this would be the last
thing we talked about actually
all right um
uh i'll let me introduce a little bit
more history about
this material that i've been doing
research on
um suppression blue is the the trade
name
the chemical name is iron
hexacyanopherate
and it's a quite quite interesting
history
it was discovered in the early 1700s by
a
paint maker okay who is mixing chemicals
together to make a paint
and it was first the the synthesis was
first published in 1731
and by this guy george stahl and i
i could be wrong i thought george stahl
might have been from from
england working in berlin
and what was interesting is i found the
original
publication that includes the synthesis
of what was called at the time berlin
blue is discovered
named after the city it was made in
which at the time
berlin was part of the prussian empire
which is why it's called prussian blue
and not german blue and
you guys know have any idea what
language this was published in
so again it was i think a english guy
working in
germany and what language did he publish
this
this article in
i'll have the chat open hold on
if you guys have been asking questions i
haven't seen any of them because the
chat wasn't open
okay no no question okay well if you
can't read it
yes that's correct aaron uh the the
language
is latin and if you if you know the
the language of science during this time
period
was latin even though this guy was
english and he was in germany
uh he everything was published in latin
and so now now these days the language
of science is english
so yeah convenient for us um
that was kind of interesting so i found
this paper on like the google books and
you know how you can search through
google books like
word by word and so i i had translated
berlin blue into
latin to find exactly what page it was
on which was kind of
kind of cool i don't know what the rest
of it says but um anyway so
it's significant this material was
discovered because
it became the first synthetic
paint pigment uh before for at least for
blue i mean for blue paint pigment
before the blues were made out of
crushed up minerals which
could be uh quite expensive and this was
provided a cheaper
alternative that can also be mass
produced and so it's used in a lot of
different famous paintings a lot of
paintings it's very common paint pigment
actually
such as the starry night by vincent van
gogh
and there's a bunch of these different
paints are named after the materials
that are used to make them like a
titanium oxide white or
lead oxide white if you guys remember a
couple weeks ago i was talking about
gerocite as a material gyrocyte has a
yellow color and
it also has a paint pigment called
gerocite yellow or something like that
so kind of interesting
so this is oh let me go back here this
is the crystal structure
of uh the prussian blue
um and it has a cage-like structure
where
where you have uh iron fcc
lattice so face-centered cubic lattice
of iron
in the high spin state so these are the
corners in the face center and then also
it's
another fcc lattice of low spin iron and
the low spin iron is coordinated
uh octahedrally by six cyanide ligands
so cyanide as you probably know is a
toxic material and the reason why it's
toxic
is is similar to carbon monoxide so if
we breathe in carbon monoxide
it it binds to the iron in our in our
blood
uh the heme group and that prevents it
from delivering oxygen to different
parts of our body
and uh the same idea for cyanide is it
binds the iron in our blood if we
breathe it in
and then prevents the oxygen transport
however the iron prussian blue
is relatively non-hazardous
okay even though it contains this
cyanide ion and it's exactly the same
reason because this the bonding between
the iron the cyanide is very strong
so it's very safe to handle um
unless you unless you eat it and then
maybe
perhaps uh the it can break down in your
your stomach acid but um i'm not sure
actually actually i could be i might be
wrong actually i i think i'm wrong
because
i know for a fact that prussian blue or
at least this kind of the material is
used
as a medicine for radioactive poisoning
so for example if you ingest a
radioactive element
particularly it's just for i think
cesium a radioactive cesium
and if it's in your body you would take
this medicine prussian blue
and eat it i i guess you eat it eat it
this is not medical advice i'm not a
doctor so don't
don't be eating this stuff that you
encounter radioactive poisoning
but the idea is just like in a lithium
or sodium ion battery it has these large
cage-like structures i have another
slide here
large cage structures that can absorb uh
large monovalent and even divalent ions
okay so cesium is monovalent cesium plus
and so it's a very large ion so this
this material can absorb the radioactive
cesium from it and then i guess you
pee or poop it out layer and gets rid of
it from your body
uh but that's why how it's used as a
medicine for radio radiation poisoning
but the same idea you know the advantage
of this structure is that has these very
open cages
so there's a lot of volume interstitial
volume for large ions to be intercalated
in and out of it at very fast rates
right so the diffusion coefficient of
these ions in the material
are fairly high which is good for a
battery material
and not only that but such a large space
you can you can incorporate even larger
ions other than like lithium
for example sodium plus has good
diffusion potassium ion has been
investigated for this material potassium
ion battery that is
um i forget that also there's a there's
a research group in portland i figure
out what
university or in oregon
and they're they're investigating
ammonium
ion batteries so instead of a single
atom
it's a molecule of nh4 plus that gets
intercalated
in and out of this material and the
advantage of using
um different well one of the factors
uh changing the intercalation
ion well the size of it changes the
redox potential
of this material and the larger the ion
this has been studied that the larger
the ion
that's intercalated the higher the redox
potential which is
is good for a cathode material you want
higher potential
and the ammonium ions the largest of
them all and it has the highest redox
potential for
prussian blue if you intercalated it
and one one thing i should point out is
that you know in this diagram i i draw
the
the metal plus ion the monovalent ion
right in the center of these cages which
is is not necessarily true
um because these cages are really open
and it's just if you guys remember from
like msc 170 when you calculate the
coordination of different
uh materials you know if if the ion size
is a certain ratio to the cation size
anion the cation size it'll either be
tetrahedral octahedral
right basically you don't want to have a
small ion surrounded in a big cage
because then it's it can rattle around
it's not very energetically favorable
and so the same cases here is that this
cage is so big it's not necessarily the
most energetic
energetically favorable site is in the
middle actually there's a lot of studies
that
show simulations that the most energetic
sites might actually be you know inside
one of these squares or against one of
these squares or against one of these
corners so
it's kind of just a simplification in
this diagram
and also well i'll get into that later
there's a lot going on here
okay so like i said before uh the energy
state of
the two different irons or excuse me the
yeah the electron energies of two
different irons are different
because of what's coordinated to them so
the iron on the outside of this equation
here that's
bonded to the nitrogen of the cyanide
complex
that is in what's called the high spin
state okay so these are the d
orbitals the electron orbitals and if
you take a single
ion ion that's not surrounded by
anything
all the energy is symmetric all around
and there's nothing around it if you
take a single iron ion
all the energies are equivalent they're
all equal they're all lined up
with each other but as soon as you start
putting things around it
like ligands for example the cyanide
ligand then that's going to change the
energy states of these different
orbitals and for octahedral symmetry
it makes these this kind of deviation of
energy states
of the the d orbital electrons
okay and so depending on what is bonded
to it and also like
the bond length of the ligands that
changes the energy splitting
of these two energy levels of the d
orbitals and if that energy splitting is
large enough then you start to
start to pair up these electrons because
it's more energetically favorable
to make pairs of electrons before
distributing them to all these single
unoccupied states and this is called the
low
spin state i think i go into that a bit
more
later so this is a schematic of how the
sodium ion battery works for prussian
blue
so actually when i synthesize the
material most often it's
synthesized as the partially reduced
state
all right so it already has a sodium
inside of it and it's in the mixed
valence between three plus and two plus
for the different irons and so usually
the first step
when i uh characterize my battery is i
have to either discharge it or charge it
first
but so the charging process is when
we're taking
sodium ions out of the material and
we're also taking
electrons out remember i said we have to
maintain charged
neutrality that's the golden rule about
everything
you have to if you take an electron out
of a system you also have to take a
positive ion
out of the system so we take a sodium
out we also take an electron out
that would that oxidizes this iron two
plus iron three plus so it's empty
this is the fully charged state or fully
oxidized state
i i guess i should be using the terms
oxidized versus reduced or
instead of charged versus discharge
because
you could be saying talking about the
same thing for an anode material and
it'd be the opposite but this is a
cathode material so when we take the
ions out
it's charged and uh and then we
go through the test of discharging the
battery okay and so the
there's different potentials like i said
the first the low spin has the higher
potential
so we introduce an electron and the
sodium intercalates
and that reduces the low spin iron and
then we have another
step where we introduce a second sodium
ion
and that reduces the high spin state and
so those are the two
redox steps in this material
this is a bit more explanation about the
crystal field splitting which is the you
know the energy splitting of these d
orbitals i think i was just showing
um i don't have to go in too much detail
but showing that the chemical species
the ligand that surrounds this iron ion
affects that energy splitting and
eventually get to
a high a large enough splitting that
these electrons uh
will go into the low spin state
um you guys remember from chemistry
class
what this uh principle is called when
you're you're adding electrons to
orbitals it's um
the poly exclusion principle i think i
think that's it poly exclusion
paulie's exclusion poly exclusion
principle um where you know you're
when you add electrons to these orbitals
it's more energetically favorable to
have them unoccupied so you're just
going to add one to each orbital
but in this case for low spin right it's
more energetically favorable
to pair them before adding them to the
this empty higher energy state okay
so that when you add electron when you
pair an electron together
there's a pairing energy involved so you
know when i add this electron in here
the energy state of these orbitals
actually increases
and which is not indicated by these
diagrams but in general you know if that
that
added energy is larger than what these
energies are at
then it'll go into the high spin because
it's more energetically favorable to put
in that position
anyways this is kind of a more advanced
inorganic chemistry that
we don't need to know too much about
just kind of skim over
um oh there's more there's more i made
these slides so i like to show them
because i spent a lot of work you know
putting in the fine detail
it's important when you make
presentations that the extra detail um
like for example i put a lot of work
into these these are all handmade these
diagrams these reference electrodes so
you spend you know 30 minutes to an hour
maybe less or more
making these diagrams and then you can
use them throughout your you know your
entire career you just recycle them
right so it's
it's nice to have nice nice diagrams but
in this case i talk about how the
octahedral splitting energy which is
this this uh
this energy gap depends on different
things like the metal ion that you're
looking at so in general
uh i think you might be able to relate
this to the periodic table
but valence state is definitely one of
them so like manganese two plus versus
manganese four plus
uh that energy gap will change depending
on if the valence state
and then i think more importantly is the
ligand okay
so what is being surround what is
surrounding these ions either in liquid
or in solid
it will change that energy and so you
know
typically you're used to seeing all the
d orbitals lined up like this
right in this case there's the it's
symmetric
uh electric field there's nothing around
it coordinated to it
and then you start coordinating things
to it and then that changes the energy
okay yeah so here's carbon monoxide and
cyanide as
strong uh ligands
oh here's some more some more diagrams
uh this just talks about the
different orbitals between the the metal
ion the metal center
and the ligand and what pairs they make
and whether it's
you know if you have these pi orbitals
that make a pi bond
um right so if you have an empty pi
orbital for the ligand and then it's
accepting electrons from the
or from the metal pi uh t2g
orbitals then it's a pi acceptor and
that that correlates with the larger
energy gap
anyways don't need to uh
there's one more this is a molecular
orbital diagram of iron cyanide
uh so you have your iron ion your six
cyanides and how
how the orbitals of the cyanides pair up
with the orbitals of the
the iron to make these bonds right so
you have sigma bonds and
pi bonds and then the energy gap
and so on
oh one thing i want to bring up is uh
not it's it's loosely related
when i was when i was making these
orbital diagrams learning more about
this
these energies um you know in chemistry
like high school chemistry and freshman
chemistry we we always learn
you know when we're adding the the
energies like counting up the electrons
in these different energies
in orbitals we always learn to fill the
four
s orbitals before the 3d
orbitals and i was wondering i was
trying to figure out why that was
and because you know i actually i found
some papers
related to chemic chemistry education
saying that why we should not teach it
that way
um and the proof
that i mean 4s has higher energy than 3d
and that's the controversy
right i'm saying this is 4s has a higher
energy than 3d
and the proof is that if you had let's
say a neutral iron
atom so you have uh you have two
electrons in the 4s
and you have you know these or the six
electrons in the 3d
so you know of course yeah that makes
sense you're filling the 4s before you
filled the 3d
but which electron has the highest
energy is the question and i'm saying
the 4s has higher
energy than 3d and the proof is that if
you were to
ionize this iron let's say we're
ionizing it to iron two plus or iron one
plus
which doesn't exist which electron do
you take away
are you taking away the 3d electron
because according to what we learned in
chemistry class we would take away the
3d
electron because it has a higher energy
but i'm saying well actually 4s has a
higher length g anyways that's the proof
that
yeah you take away from the 4s orbital
when you ionize something you always
take away the highest energy electron
and it's coming from the forest and
that's a brief aside
but it's something you might want to
investigate for yourself
here's another related side note by it's
it's related to like these energy levels
in
in materials as well so we have three uh
materials here corundum ruby and
sapphire do you guys know
what what chemical equation this is
for these materials what's the chemical
formula of these materials or at least
corundum for example
and it's okay if you don't know but i
hope after today you'll know
or ruby or sapphire you know if i say
hey what's what's the
chemical equation for sapphire anyway
the chemical equation
is aluminum oxide for all three of these
materials
okay so the base material is all
aluminum oxide and it
is evident you know they all have
similar crystal
crystallographic orientations in the
crystal shapes so
they're all the same material the
difference between ruby and sapphire is
that we've added
a dopant so a dopant is a small
concentration of ions
that's substituted with the aluminum in
this material
and the dopant for ruby is chromium so
adding a little bit of chromium like
less than one percent
will make corundum red ruby
okay and then for sapphire to make it
blue it's uh
you have to add both titanium and iron
two plus
and there's some kind of exchange in
electrons when it absorbs light so
that's why you need two
um so i guess the the question is
well let me move on so here's another
example
where we compare corundum and another
mineral called barrel
okay another the beryllium aluminum
silicate
in both of these materials if you
substitute i believe it's aluminum from
barrel
that could be wrong substitute about one
percent chromium
into both of these materials it turns
the
corndom red but it turns barrel green
and that's called emerald
so the question is why how can the same
ion
that is being substituted into these two
materials
turn one red and one green okay
and uh it has to do with the
the the d orbital splitting of the
chromium which is responsible for the
absorbing the light
in the material okay just like i talked
before you know it's all about these
energy levels of these d electrons and
what is around it affects that energy
level
uh this is a tanabe sugano diagram
that's used often with these
uh kind of kind of uh light absorbent
materials
um and actually uh uh ta from the
morning group
helped explain this because i i wasn't
too familiar i made these slides a long
time ago i knew it at the time but
i i can explain it a little bit so but
i'm i'm kind of paraphrasing what he
said
so the x-axis is the ligand field energy
okay or crystal field energy you could
also say is is the
is the energy splitting of these d
electrons
in the this is the octahedral
configuration of the
d electrons so if you're at a
crystal field energy of zero what that
essentially is saying is that nothing is
surrounding
your metal ion you know it's just it's
just saying it's like this this has a
splitting energy of zero all these
energy orbitals are at the same level
there's nothing surrounding the ion but
as soon as you start surrounding
the ion then you start splitting that
those energy levels
and depending on the ligand strength and
the bond length the bond strength of the
the ions and ligands that affects the
ligand field energy
okay and then this is the energy
of light that's absorbed by the material
okay so for a chromium i found i found
these
uh this information for chromium that
the ligand field energy
of chromium in aluminum oxide is you
know 2.2 volts and then
in the barrel it's a little bit less and
that affects
the the energy level of the light
absorbed
so in aluminum oxide you're absorbing
these two like spectrums of light and
then
beryllium you're absorbing different
colors of light which means different
colors of light is transmitted
all right so this helps explain why
chromium
is responsible for both the red light
and green light in both of these
materials
and is different because the ligand
field energy and liquid field energy is
different because the local environment
surrounding the chromium atom ion
is different in these two different
materials all right
so now you kind of see how everything is
related i talked about
you know how it's related in the battery
materials
right that changes the redox potential
of the battery materials
it changes the optical properties of
these materials
there's one more i thought but i forget
anyways
and here's another chart it just relates
the dopant concentration the color
so i guess chromium oxide is green
aluminum oxide is clear but you add
chromium makes it red
um so just uh quickly go over we're
about about a bit over time that's fine
i'll just kind of talk about some of the
data from my
my publication so again this was
looking at prussian blue is looking at
the synthesis of prussian blue
now and typically the synthesis if you
add a
ferrocyanide salt such as sodium
ferrocyanide and dissolve it in water
and then add a ferric or ferrous salt
uh the pres it undergoes a precipitation
reaction
okay the the solubility product of
prussian blue
in water is very low it's like 10 to the
negative 200 it's
very very low so that means as soon as
these ions are in contact
they're going to precipitate into a
solid okay
and because of such high precipitation
or low solubility product
what ends up happening happening is you
get
very small nano particles you get very
high nucleation
and if you have high nucleation you
usually have
low growth all right because you're
taking the ions away from solution
ions allow you to uh to grow the the
crystal
and so you what ends up having you have
these really uh
rough nanoparticles um and
they're more or less not grown under
thermodynamic conditions so they don't
have
nice facets or cubic structure and
there's a lot of vacancies in water
because of the fast reaction as well
so the idea was to add a collating agent
to this reaction that would collate to
one of the iron
ions so essentially we're reducing the
activity
of the iron species in solution and that
would help slow down the precipitation
reaction
and then also adjust the ph because the
chelation strength of this
chelate is uh affected by uh
the ph uh and so what ended up happening
right you get
a different ph you get different sized
particles you get different uh
vacancy content different water content
and then more imports
most importantly you had a different uh
redox
characterization so here's another view
of it
these are the particles growing at lower
ph at higher ph the particles were
much larger but what's interesting if
you look at these particles
they're not necessarily cubic right i
mean
they're definitely faceted and if it's
faceted
it means that like i said it's grown
under thermodynamic conditions you're
you're you're when you grow a crystal
you're going to grow
you're going to expand the surfaces that
have the lowest
surface energy okay and this
in this uh crystal structure it's going
to be a cube
but like just looking at it you know you
have like a rectangular prism here you
have something with like a step
you have like an l shape here it's kind
of weird and
you can see the same thing in the
smaller one but they're just much
smaller
and so the what i had done some
literature research and it seems like
it's fairly common with the prussian
blue material
grown under thermodynamic conditions to
make a what's called a
meso crystal a mesocrystal is when you
take smaller crystals
and then they they aggregate together in
an
oriented manner and then they can fuse
together to make another bigger
single crystal out of these small nano
crystals okay
and so that that's sure that makes sense
and it's supported by literature
but the other question was you know why
why do i have small
mesocrystals versus large mesocrystals
and also saying that they're
mesocrystals of speculation i haven't i
don't have any hard evidence that they
are mesocrystals but other than
laser but the question why is this small
and why are these big
and so my my proposal my proposed
mechanism was well
uh because the the solubility product of
this material is so low and they
precipitate so fast or there's such high
nucleation
that the particles growing at low ph
have much higher nucleation
and then that results in very small
crystals and then those small crystals
together can aggregate to form smaller
mesocrystals
on the other hand the higher ph would
have low nucleation
okay and that allow for more growth
larger particles
and then that would aggregate into
larger mesocrystals
and i wanted to i wanted to prove that
at ph 3.8 you know i had some faster
growth is what i wanted to show and then
at 4.4 i had
slower growth so what i did is i took a
uv
vis spectrum of the material so these
are actually four different ph's but i
only showed two on here
uh and it shows the peak at 700
nanometers 700 nanometers is the main
absorption peak of prussian blue and so
700 nanometers is like a red
right so it's kind of almost infrared
yeah and um
so if you're absorbing red that means
you transmit all the other colors and it
ends up being blue that's why prussian
blue is blue
but what i did is i took my my material
and i put it into a cuvette and uh
i added the two components together and
started the test
right away as it was reacting and then
every five seconds or so i think it was
either five or ten seconds
10 seconds every 10 seconds i would take
a scan
or a measurement just at 700 nanometers
of the intensity
of the solution because as this material
precipitates
it's going to uh absorb more light
or it's going to absorb blue light or
excuse me it's going to absorb the red
light at 700 nanometers
so here we see a ph 3.8 as soon as i add
the two solutions together
you know it becomes saturated very
quickly
so that means that the the the
nucleation growth is very quick
but at lower higher ph it's much more
gradual which means that the growth of
the particles and nucleation is much
more slow
and that makes sense because at higher
ph the chelation strength of this
chelate is higher so it's it's more it's
inhibiting
the nucleation of this reaction so it
slows it down
and that's why you get larger growth
okay so moving on to electrochemical
properties
um so here is uh
the the capacity the discharge and
charge capacity
uh for many cycles and then also i
increase
the current rate after every 10 cycles
so remember this is galvanostatic
cycling so this is like the
the profile of each one of these dots is
like this and
this is actually the last dot of each of
each series is this profile
so if you just look at one curve this is
the discharge curve you start at high
voltage after charging
you're discharging at a constant rate
so the first section is only 100
milliamps per gram
right and you measure the voltage as it
discharges and like i said there's two
different iron species in this material
and that represent two different redox
reactions so here's one redox reaction
is a higher voltage
corresponds to low spin iron and then a
lower redox potential corresponding the
high spin iron
and then the other the other chart the
other plot
line is just the the charge profile of
the
the same material okay and
um i said before you know as we increase
the current of the battery
as we're drawing more current uh things
become
there's at there's the capacity
decreases
and the voltage decreases i remember i
said you know i was kind of relating it
to v equals ir
that there's these resistances inside
the battery
such as diffusion resistance or
electrical resistance
and as we increase the current you know
resistance more or less stays the same
but as we increase
current that means the voltage in this
case voltage
drop increases so that's why
you see this voltage as we increase
current rate the voltage drops
okay
so if we just one one idea
i mean obviously you'll see that the
capacity of the smaller particles
is larger than the capacity of the
larger particles
okay and now
i've said this before in a previous
lecture you know it's always
better to make nano materials okay
if you make something nano it means the
diffusion distance of lithium ions or
sodium ions in solution
into the materials shorter all right it
doesn't have to travel as far
and that results in less resistance for
diffusion
uh during discharge okay and that would
result in higher capacity as well
so you know right away you look at this
and you look at the different
materials and you say well you know this
has higher capacity because these are
smaller
smaller smaller particles it makes sense
right
and so if that was the case
if if capacity was kinetically limited
by the diffusion of ions and due to the
particle size
you would expect to see as we increase
the current rate
that the cur the capacity retention
of larger particles would decrease even
more
but if you compare the initial
capacities at slow rate
to the capacities at high rate between
the small particles and the large
particles so the ratio of this number to
this number basically
they're they're pretty much the same all
right which would show
which would indicate that kinetics did
not play a
major role in this material as far as
the capacities go
however if you investigate it a little
bit more in detail
but in these charts here i separate
an estimated capacity contribution
you know for each one of these lines
just the the discharge ignoring the
charge
of the low spin iron which is this
higher voltage
uh plateau here versus the high spin
iron which is the lower voltage plateau
here and so the red
is the low spin iron capacity
contribution you see it's this is a bit
smaller than this line here
and the black is the high spin and if
you compare the two
uh particle sizes together you'll see
that
as you increase the current the capacity
contribution of the
high spin iron is is more or less
constant
okay and the same for the larger
particles it's more or less constant
which would indicate that the redox
mechanism related to the high spin
iron is not dependent or
largely dependent everything is
dependent but it's not largely
dominated by kinetics of the reaction
all right
it's a we're able to supply electrons
and we're able to supply it
ions through fast diffusion uh
effectively
okay there's no big decrease in that
that level but if you look at the low
spin
capacity contribution that's where you
see a decrease
all right which is is kind of unusual
because you have one material
and there's a difference in uh
redox mechanism between the you know
this plateau and
the second plateau which is uh a bit
interesting in my
opinion and i don't have i i don't have
an explanation
for why this redox mechanism of low spin
is different
other than that perhaps um
it's not what we think it is so we
always think you know we add sodium ions
in and we're reducing iron
three plus to iron two plus and it was
the same for the both but perhaps that's
not the case for this uh
higher voltage case so i'm looking into
this
when i get back to lab this is the next
thing i'm going to look at is
investigate this redox potential at
different rates of different materials
and i speculate that actually the water
content
might have something to do with it
actually because if you if you compare a
non-aqueous
prussian blue to aqueous prussian blue
battery you
always see that this plateau is much
higher
in the aqueous state than the
non-nyquist so it makes me think that
water plays a large role in the redox
reaction of this
material even in this non-aqueous
battery because i still have water
inside my material
so anyways so the point is uh
is that well there's still a lot to
learn
and i think once i figure this out i can
publish that
next paper and i can get out of this
university and then
move on to the next big thing
i'm going to end it here it's been about
an hour and a half
any questions before we we leave
well thanks for uh sticking with me
um i believe on friday
you have um a journal review
uh due excuse me a literature literature
summary
is due on friday uh so remember
for your your review paper you need to
have at least 10
literature sources since uh 2019
but there's only five literature uh
summaries
summary assignments so if you want to be
proactive you can actually make two
summaries each assignment
but you're only you only need to submit
one to get full credit and it
is for credit so please write out uh a
summary i'm going to try to
write a summary example tonight and send
it to you guys just show you what you
know
what i'm kind of expecting but basically
the more the more you do
the easier it's going to be for when you
want to compile your your review paper
okay yeah
and then tuesday will be the first day
of lab
so we'll meet here again at the same
time uh
in that day the ta will lead most of the
lecture
and i'll be here in support um so we'll
go through
some discussion questions there's no
pre-lab so you don't need to prepare
anything
but uh you know just just be ready to
learn i guess
be let ready to learn and be sure you
you can take notes during the lecture
uh so that at by the end of the lecture
you can submit
a summary of of our lab lab
lecture so the ta will discuss uh some
some background and discussion questions
of the topic
then we will have a video of the
experiment
that tatiana has uh has
been busy putting together these videos
[Music]
and now there's an issue with
streaming the video i tried streaming
videos on
zoom and it doesn't really work because
there's like a lag so i think what we're
going to have to do is
once we get to that point you know we're
going to say okay take 20 minutes to
watch the video and they'll
regroup and you watch it on your own and
then we'll regroup and then we'll have
discussion questions
and then the ta has data you'll be given
the data
and the ta will go over a data set on
how to like plot or analyze the data
and you guys do that together so it'll
be it'll be interesting how it goes
i'm quite curious myself it'll be the
first time okay any questions and
if not we'll uh you guys can get out of
here
okay well i'll see you guys uh next week
have a good weekend everyone
try to get some sunlight but you know
stay away from other people but try to
get outdoors
do some exercise yeah
you
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