D iffusivity in Dyesensitized S olar C ells Yiqun Ma SUPERVISOR Dr Gu Xu 1 Background and introduction Dyesensitized solar cells Mass transport in electrolyte Problem poresize dependence of ion diffusivity ID: 264871
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Slide1
Pore-size Dependence of Ion Diffusivity in Dye-sensitized Solar Cells
Yiqun MaSUPERVISOR: Dr. Gu Xu
1Slide2
Background and introductionDye-sensitized solar cellsMass transport in electrolyte
Problem: pore-size dependence of ion diffusivityExperimentalDevice fabrication and pore-size variationDC polarization measurementResults and discussionUnification of two opposite views
Unexpected surface diffusion
Significance of results
Conclusion
2
OutlineSlide3
Electrochemical cells utilizing dye molecules to harvest sunlightFirst published in Nature in 1991
7% overall power conversion efficiency was achieved, now has exceeded 12%New generation solar cell with possible low cost and high stability3
Introduction to Dye-sensitized
S
olar Cells
Oregan, B.; Gratzel
, M.,
Nature
1991,
353 (6346), 737-740Slide4
Monolayer Dye molecules for light absorption High surface area required mesoporous structure gives rise of
700 times of nominal surface areaWorking electrochemical Junction formed at the interface
4
Mesoporous
TiO
2 Thin Film
TiO
2
Dye
I
-
/I
3
-Slide5
5Device Physics of
Dye-sensitized Solar Cells
M
ass transport of ions
Bottleneck of performance
FTOSlide6
6Three Possible
Mechanisms of Mass TransportKalaignan, G. P.; Kang, Y. S., J.
Photochem.
Photobiol
. C-Photochem. Rev.
2006, 7 (1), 17-22.
dominant
mechanism in DSSCs
In standard DSSCs, the mass transport rate is determined by the
diffusion of minority ions (I
3
-
) i.e. [I
3
-
] <<[I
-
]Slide7
Diffusion is pore-size independent when λ<0.1 (
λ = rmolecule/rpore)Based on the short
mean free path of inter-molecular collision in liquid
:
=
+
(
ε
: porosity;
τ
:tortuosity)
Tortuosity:
ratio of the length of the curve (
L
) to the distance between the ends of it (
C
)
7
Two Conflicting Views from Literature:
A) Pore-size
I
ndependent
D
iffusion
Karger
, J.; Ruthven, D. M., Diffusion in zeolites and other
microporous
solids. : Wiley: New York, 1992;
pp
350-365.
A
B
L
C
Slide8
Frequently observed impeded diffusion in much larger pores (λ ≈ 0.01)
In this case ion diffusivity heavily depends on pore diameter8
Mitzithras, A.;
Coveney
, F. M.; Strange, J. H., J. Mol. Liq. 1992,
54 (4), 273-281.
40nm
Possibly due to the surface interaction or bonding
mechanisms
Decreases effective free pore volume
Two Conflicting Views from Literature:
B) Pore-size Dependent DiffusionSlide9
Remains controversial in dye-sensitized solar cellsYet critical
in estimation of the limiting current and design of efficient devicesBecause various fabrication processes lead to pore shrinkingDye loading
TiCl4
post-treatment
9
Debating
in
Dye-sensitized
S
olar CellsSlide10
Coating of Pt on FTO glass by heat treatment of chloroplanitic acid (H2
PtCl6) Deposition of TiO2 thin film by screen printing processSealing the cell with Surlyn film as spacer(25μ
m)
Injecting electrolyte (I
-/I3-
redox couple in acetonitrile) from the hole at the top
10
Experimental:
Device Fabrications
Injection hole
To focus on ion diffusion, a modified version of DSSC is
fabricatedSlide11
TiCl4 post-treatment is widely used in DSSC fabricationChemical bath which forms TiO2
on top of TiO2 mesoporous film by epitaxial growth – growing overlayer with the same structureReduce recombination rate and improve charge injection from dye molecules to
the CB of TiO2
Also reduce average pore size of TiO
2 film
11
Pore-size
Variation
by
TiCl
4 T
reatmentSlide12
12Pore-size
Variation by TiCl4 Treatment
Ito, S.; Murakami, T. N.; Comte, P.; Liska
, P.;
Gratzel, C.; Nazeeruddin, M. K.;
Gratzel, M., Thin Solid Films 2008,
516
(14), 4613-4619.
TiO
2
film on FTO/
Pt
glass
1
.
Immerse for 30
mins
2. Rinse with DI water
3. Anneal at
450
o
C
for 30
mins
Hot
Plate
0.1M
TiCl
4
aqueous solution at 70
o
C
TiCl
4
treated
TiO
2
film with smaller pores
TiCl
4
+ 2 H
2
O → TiO2 + 4 HClSlide13
13BET Characterization
Sample
Number of TiCl
4
treatments
Average pore diameter (nm)
Porosity ε
A
0
20.91±1.83
0.616±0.018
B
1
16.92±2.32
0.497±0.010
C
2
11.33±2.57
0.404±0.014
D
3
7.97±1.7
0.339±0.008
E
4
5.7±1.35
0.287±0.006Slide14
14BET CharacterizationSlide15
15Pore-size
Distribution
Curves follow more or less the normal distribution
Distribution
shape remains almost unchanged after treatments
Average pore diameter
decreases
Error bars of pore diameters are obtained from the FWHM values
Sample A, C and E underwent 0, 2 and 4 times of TiCl
4
treatments respectivelySlide16
Mass transport limited currentIn this case, diffusion limited currentIV curve will reach plateau at limiting current valueIn this case, the current will increase after the plateau
Charge injection from the TiO2 to electrolyte
16
DC P
olarization Measurement
I
V
I
lim
Ionic diffusion
Charge injection starts
V
T
The DC measurement was conducted in
DarkSlide17
First consider neat electrolyte between two electrodesAssuming
diffusion layer thickness = cell thickness, and
(since the current flow is independent of x)
General equation of diffusion limited current
F is the Faraday constant, c is the I
3
-
concentration and n is the stoichiometry constant which equals to 2 for I
-
/I
3
-
redox couple
17
Model
ConstructionSlide18
Continuity of current in the device: I = 2F
= 2FD
bulk
(
1)
The conservation of
I
3
-
ions:
c[
εt
+ (l – t)] =
ε
t+
(l – t)
(
2)
Combine (1) and (2) with boundary condition
c
0
=0:
= 4Fc
(
3)
18
Model
Construction
Kron
, G.; Rau, U.;
Durr
, M.;
Miteva
, T.;
Nelles
, G.; Yasuda, A.; Werner, J. H.,
Electrochem
. Solid State
Lett
.
2003,
6
(6), E11-E14.
t = 12
μ
m;
= 25
μm
Slide19
19
DC Measurement Results
a) IV characteristic of control sample without TiO2 thin film;
b) Typical IV curves of samples A to E after 0 to 4 times of TiCl
4
treatments respectivelySlide20
Sample
I
lim
(mAcm
-2
)
D
TiO2
(10
-5
cm
2
s
-1
)
D
eff
(10
-5
cm
2s-1)
Tortuosity
(
)
A
35.25±1.25
0.747±0.038
1.22±0.09
1.05±0.09
B
24.80±0.60
0.513±0.016
1.03±0.05
1.24±0.06
C
21.10±0.45
0.437±0.012
1.08±0.07
1.18±0.08
D
16.67±0.35
0.343±0.009
1.01±0.05
1.26±0.06
E
10.33±0.50
0.207±0.011
0.721±0.055
1.78±0.13
Sample
I
lim
(mAcm
-2
)
D
TiO2
(10
-5
cm
2
s
-1
)
D
eff
(10
-5
cm
2
s
-1
)
A
35.25±1.25
0.747±0.038
1.22±0.09
1.05±0.09
B
24.80±0.60
0.513±0.016
1.03±0.05
1.24±0.06
C
21.10±0.45
0.437±0.012
1.08±0.07
1.18±0.08
D
16.67±0.35
0.343±0.009
1.01±0.05
1.26±0.06
E
10.33±0.50
0.207±0.011
0.721±0.055
1.78±0.13
20
DC
Measurement
R
esults
D
TiO2
:
ion
diffusivity in matrix
D
eff
: effective ion diffusivity normalized with porosity
: tortuosity calculated from
, expected to range from
1.2 to 1.8
*
Slide21
21
Surprising Pore-size Dependence
A
B
C
D
E
D – E
:
P
ore-size
dependent
region,
D
eff
heavily depends on pore diameters
;
B
– D
: Pore-size independent region, almost forms a platform
;Transition:Critical point of transition is located at 5 – 7 nm;A – B: ? What is going on here?Slide22
22
Two Opposite Views Are Now Unified……Distinctive Regions of each diffusion mode
Pore-size dependent region
< 5 – 7 nm
Significant steric hindrance effect
of pore walls.Pore-size independent region
> 5 – 7 nm
Negligible collision
between
liquid molecules
and pore walls
Observed in DSSCs for the first time!
Pore-size dependent
Pore-size
independent
B
C
D
ESlide23
λ value at the transition ≈ 0.1 (550pm/5nm), which bears remarkable agreement
to the theoretical predictionThe range of pore-size independent region(>5-7nm) suggests fabrication processes of DSSCs will NOT cause transition of diffusion behaviorNot likely those processes will impede ion diffusivity significantly
23
……by the Critical Point of TransitionSlide24
24Significance of Our Results
Pore Size
Smaller
Large interfacial Area for efficient light harvesting
May impede mass transport rate
Larger
High mass transport limiting current
Not enough interfacial area
Our results
s
uggest the
minimum pore-size
without hindering the diffusion.
The balance between mass transport of electrolyte and interfacial area can be
optimizedSlide25
The tortuosity in A ≈ 1(unrealistic)
Other diffusion mechanism is involvedSurface diffusionHopping mechanism of surface-adsorbed molecules between adsorption sites. Suppressed by the surface modification after
TiCl4
treatments
Act as a passivation process and decrease the number of available adsorption sites
25
Unexpected Rise from
B
to A
TiO
2
I
3
-
I
3
-
Surface diffusion
A
BSlide26
Both pore-size dependent and independent diffusion were observed under the same scheme by
altering the average pore-size of TiO2 matrix.The critical point of transition was located in the range of 5 – 7 nm. Thus standard fabrication processes will not cause transition of diffusion mode.Surface
diffusion mechanism was observed in
untreated TiO
2 and suppressed after the surface modification of TiCl4
post-treatment.
26
ConclusionSlide27
Dr. Gu XuDr. Tony Petric and Dr. Joey
KishDear group mates: Cindy Zhao, Lucy DengMr. Jim GarretDr. Hanjiang DongNSERC
27
AcknowledgementsSlide28
28Thanks for the attention!
Any questions?