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Subscriber access provided by the Library Service | University of Stellenbosch The Journal of Physical Chemistry C is published by the American Chemical Society. 1155 Sixteenth Street N.W., Washington, DC 20036 Published by American Chemical Society. Copyright © American Chemical Society. However, no copyright claim is made to original U.S. Government works, or works produced by employees of any Commonwealth realm Crown government in the course of their duties. Article On the Mass Transport in Apparently Iodine-free Ionic Liquid Polyaniline Coated Carbon Black Composite Electrolyte in Dye-sensitized Solar Cell Henri Johannes Vahlman, Janne Kristian Halme, Juuso T. Korhonen, Kerttu Aitola, and Janne Patakangas J. Phys. Chem. C, Just Accepted Manuscript • DOI: 10.1021/jp401401t • Publication Date (Web): 25 Apr 2013 Downloaded from http://pubs.acs.org on May 6, 2013 Just Accepted “Just Accepted” manuscripts have been peer-reviewed and accepted for publication. They are posted online prior to technical editing, formatting for publication and author proofing. The American Chemical Society provides “Just Accepted” as a free service to the research community to expedite the dissemination of scientific material as soon as possible after acceptance. “Just Accepted” manuscripts appear in full in PDF format accompanied by an HTML abstract. “Just Accepted” manuscripts have been fully peer reviewed, but should not be considered the official version of record. They are accessible to all readers and citable by the Digital Object Identifier (DOI®). “Just Accepted” is an optional service offered to authors. Therefore, the “Just Accepted” Web site may not include all articles that will be published in the journal. After a manuscript is technically edited and formatted, it will be removed from the “Just Accepted” Web site and published as an ASAP article. Note that technical editing may introduce minor changes to the manuscript text and/or graphics which could affect content, and all legal disclaimers and ethical guidelines that apply to the journal pertain. ACS cannot be held responsible for errors or consequences arising from the use of information contained in these “Just Accepted” manuscripts.

On the Mass Transport in Apparently Iodine-Free Ionic Liquid Polyaniline-Coated Carbon Black Composite Electrolytes in Dye-Sensitized Solar Cells

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Subscriber access provided by the Library Service | University of Stellenbosch

The Journal of Physical Chemistry C is published by the American Chemical Society.1155 Sixteenth Street N.W., Washington, DC 20036Published by American Chemical Society. Copyright © American Chemical Society.However, no copyright claim is made to original U.S. Government works, or worksproduced by employees of any Commonwealth realm Crown government in the courseof their duties.

Article

On the Mass Transport in Apparently Iodine-free Ionic Liquid PolyanilineCoated Carbon Black Composite Electrolyte in Dye-sensitized Solar Cell

Henri Johannes Vahlman, Janne Kristian Halme, Juuso T. Korhonen, Kerttu Aitola, and Janne PatakangasJ. Phys. Chem. C, Just Accepted Manuscript • DOI: 10.1021/jp401401t • Publication Date (Web): 25 Apr 2013

Downloaded from http://pubs.acs.org on May 6, 2013

Just Accepted

“Just Accepted” manuscripts have been peer-reviewed and accepted for publication. They are postedonline prior to technical editing, formatting for publication and author proofing. The American ChemicalSociety provides “Just Accepted” as a free service to the research community to expedite thedissemination of scientific material as soon as possible after acceptance. “Just Accepted” manuscriptsappear in full in PDF format accompanied by an HTML abstract. “Just Accepted” manuscripts have beenfully peer reviewed, but should not be considered the official version of record. They are accessible to allreaders and citable by the Digital Object Identifier (DOI®). “Just Accepted” is an optional service offeredto authors. Therefore, the “Just Accepted” Web site may not include all articles that will be publishedin the journal. After a manuscript is technically edited and formatted, it will be removed from the “JustAccepted” Web site and published as an ASAP article. Note that technical editing may introduce minorchanges to the manuscript text and/or graphics which could affect content, and all legal disclaimersand ethical guidelines that apply to the journal pertain. ACS cannot be held responsible for errorsor consequences arising from the use of information contained in these “Just Accepted” manuscripts.

On the Mass Transport in Apparently Iodine-free

Ionic Liquid Polyaniline Coated Carbon Black

Composite Electrolyte in Dye-sensitized Solar Cell

Henri Vahlman, Janne Halme,∗ Juuso Korhonen, Kerttu Aitola, and Janne

Patakangas

Department of Applied Physics, Aalto University, Espoo

E-mail: [email protected]

∗To whom correspondence should be addressed

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Abstract

Volatile electrolytes are a stability concern in dye solar cells (DSC) due to their tendency

to leakage. A composite electrolyte consisting of iodide based ionic liquid and polyaniline

coated carbon black has been previously reported to provide good current transport while be-

ing leakage proof due to a quasi-solid structure and absence of volatile constituents. In this

paper we investigate the operating principle of this type of electrolyte, and especially its ex-

ceptional feature of operating efficiently without added iodine. Absence of additive iodine is

significant due to the fact that it is usually required to form the current carrying I−/I−3 redox

couple. We modified an electrolyte mass transport model from the literature to estimate the

upper-limit for the charge transport capability of the composite electrolyte. Comparison of

experimental results with the estimated upper-limit for the diffusion limiting current density

shows clearly that the high current densities observed experimentally with the composite elec-

trolyte can not be explained with normal diffusion even in the case that every feasible source

and transport mechanism of free I–3 known until now is considered, including photogeneration

of I−3 , shortened diffusion layer thickness, impurity I−3 and accumulation of I−3 to the photo-

electrode from the counterelectrode pores and electrolyte edge regions. This intriguing result

suggests a currently unknown I−3 source or transport mechanism in this type of DSC.

KEYWORDS: photovoltaics; carbon nanoparticle; quasi-solid electrolyte; extended electron

transfer surface

Introduction

Dye solar cell (DSC)1 has a structure and materials that enable fabrication of colorful, semitrans-

parent, flexible and lightweight modules. These traits combined with roll-to-roll adaptability and

relatively low investment costs of necessary manufacturing equipment have ensured growing re-

search interest over the past two decades. However, technological and material development is still

required, in particular to improve the operating lifetime and reliability of DSC modules. One crit-

ical issue with this respect is possible leakage of the volatile liquid electrolyte commonly used in

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DSC, due, for example, to a sudden sealant failure or a more gradual diffusion through the sealant

materials.

A possible pathway to solve problems related to electrolyte volatility and leakage is to utilize

electrolytes based on ionic liquids (IL) that have practically zero vapor pressure at all conceivable

solar cell operating temperatures. Among different classes of ILs, imidazolium iodides are an often

preferred choice due to their relatively low viscosity and the fact that they inherently contain high

I− concentration which is necessary for fast dye regeneration. Nevertheless, their viscosity still

being much higher than that of organic solvents, a relatively high amount of additive I2 is needed

to support a diffusion flux of I−3 from the photoelectrode to the counterelectrode (practically all

additive I2 reacts with electrolyte I− and forms I−3 ). High I−3 concentration, however, has the

downside of increasing recombination losses at the photoelectrode, which tends to decrease the

open circuit voltage of the cell. On the positive side, high I− content has been found to give

rise to a specific Grotthus-type bond exchange mechanism, which gives imidazolium iodide based

ionic liquids better charge transport properties than expected on the basis of their relatively high

viscosity.2

To further improve charge transport properties of ionic liquid electrolytes, several different

approaches have been taken. These include mixing imidazolium iodide salts with lower viscos-

ity non-electroactive ionic liquids,3 mixing different imidazolium iodide salts together in order

to form low viscosity eutectic melts,4 shortening the diffusion path by fabricating straight ion

paths,5,6 and attempting to improve the Grotthus bond exchange by dispersing either conducting,7

semiconducting7,8 or insulating nanoparticles9,10 into the electrolyte. In many cases, the nanoparti-

cle dispersion approach had the additional benefit of quasi-solidifying the electrolyte, thus making

it easier to deposit and less prone to escaping from a sealed DSC.

A particularly interesting approach in regard to electrolyte gelation with nanoparticles was

detailed by Ikeda et al.:11 the authors made a composite electrolyte using only two electrolyte

components; 11 wt.-% of conducting polyaniline-loaded carbon black (PACB) nanoparticles was

mixed with 1,3-diethyleneoxide derivative of imidazolium iodide (EOImI), which after grinding

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in an agate mortar formed a highly viscous conductive black electrolyte paste. No added iodine

was required for the electrolyte to operate efficiently in a DSC, but formation of triiodide from

iodide anions of EOImI under illumination was considered sufficient to drive the device. In fact,

added I2 was shown to be even detrimental to the DSC efficiency, for an unknown reason. This is

the complete opposite of the situation that usually prevails in the case of ionic liquid electrolytes;

normally a high amount of additive I2 is required to remove the I−3 diffusion limitation, and addi-

tional I2 does not begin to deteriorate the cell performance until a relatively high I−3 concentration

is reached.12 From the point of view of device optimization and improvement, and possible future

novel applications of the composite electrolyte concept, it is important to know and understand the

mechanisms that, on one hand improve the mass transport such that additive I2 becomes redundant,

and on the other hand those that ultimately restrict the conversion efficiency of such an additive I2-

free system. In this paper we focus on the first-mentioned point, that is, our objective is to provide

clarity for the exceptionally efficient charge transport without added I2.

As to why the ionic liquid - carbon nanoparticle composites work so efficiently as DSC elec-

trolytes without any added I2, it has been proposed in the literature that a so called extended elec-

tron transfer surface (EETS) is formed between the electrodes.13–15 According to the EETS model,

electrons are transferred close to the photoelectrode through ohmic conduction taking place in the

conductive and catalytically active carbon material. According to the EETS model, the efficiency

enhancement observed in this type of DSC follows from improved charge transport through the

electrolyte layer, deriving from the combined effects of photogeneration of I−3 on one hand, and

shortened I−3 diffusion distance on the other. In the course of this paper, we examine to which extent

the above mentioned improvement in electrolyte charge transport derives from these two hypothe-

sis. Moreover, since one of the precursors for the synthesis of imidazolium iodides, iodomethane

(CH3I), usually contains trace amounts of diiodomethane (CH2I2), we take into account the possi-

bility that the ionic liquid contains a non-negligible concentration of impurity I−3 .

For theoretical analysis, we utilize a well-known electrolyte diffusion model and modify it such

that it can be justifiably used for obtaining a theoretical upper-limit estimation for the diffusion

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limiting current density in conditions that correspond closely to the ones present in the ionic liquid

- carbon nanocomposite DSC according to the EETS hypothesis. Our results indicate that, although

the above mentioned mechanisms can noticeably increase the limiting current density, there still

remains an unexplained gap between the low limiting current density predicted by the modified

theory and the experimentally observed high short circuit current density in this type of DSC.

This unexpected result means that some fundamental aspects related to the operating principle of

this type of composite electrolyte in a dye solar cell are not known yet, and an anomalous charge

transport mechanism or triiodide source must be assumed in order to account for the exceptionally

efficient charge transport.

Theory

Our main tool in this paper is the application of a mathematical diffusion model of Papageorgiou

et al.,16 which we modified to be able to provide an upper-limit estimation to jlim based upon

the presumptions of the EETS-model, namely 1) reduced electrode separation, and 2) crucial role

of photogenerated I−3 in current transport in the electrolyte. The modifications we made to the

original model are based on the following simplifying assumptions: A) We hypothesize that the

carbon paste functions similar to a porous counter electrode, in which case jlim is not reached

until all the carbon pores between the photoelectrode and the counterelectrode glass substrate are

completely depleted of triiodide.17 Moreover, we consider the possibility that I−3 could accumu-

late from the electrolyte edge regions outside the photoactive area, into the photoactive area, as

suggested by numerical simulations.18 B) Tortuosity and constrictivity of the porous layers are

neglected, and thus the porous structure has no effect on the diffusion coefficients of the redox

species. C) Light-absorption profile in the photoelectrode is assumed uniform. We state here that

the above assumptions work as to overestimate jlim as compared to reality, meaning that our esti-

mates are valid as upper limits for the true jlim. We clarify this statement and grounds for the above

assumptions below in this theory section and further in context with the results.

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Photoactivity of the DSC originates from a mesoporous titanium dioxide photoelectrode (PE)

stained with a photosensitive dye. Interspace between the photoelectrode and the opposing coun-

terelectrode (CE), including the TiO2 mesopores, is filled with an electrolyte containing a charge-

mediating redox couple (I−/I−3 ). In the cross-sectional schematic of a DSC in figure 1(a), we have

marked the thickness of the mesoporous layer with the symbol lPE, thickness of bulk electrolyte

layer with b, and, adjacent to both of these, we have separately denoted the electrolyte edge re-

gion. Depending on light absorbance of the dye, composition of the electrolyte, and mineral form,

particle size and morphology of the photoelectrode, the optimal photoelectrode thickness (lPE) is

most often found to vary between 6 µm and 15 µm.19,20 Due to practicalities related to cell seal-

ing, a bulk electrolyte layer (b) of 10-20 µm commonly exists between the mesoporous TiO2 layer

and the counterelectrode catalyst surface. Although the transverse diffusion distance between the

counterelectrode catalyst particles and the photoactive dye molecules is no more than a few tens of

micrometers, sluggish diffusion in viscous ionic liquids usually becomes a current limiting factor

without the addition of a considerable amount of additive I2.12,16,21

Photoelectrode

FTO substrate

Counterelectrode(planar platinized)

Bulk electrolyte

Ed

ge

reg

ion

b

lPE

Photoelectrode

FTO substrate

Separator layer

Porous carboncounterelectrode

lPE

lSP

a

Ed

ge

reg

ion

(a) (b)

Figure 1: (a): Cross-sectional schematic of a dye solar cell. lPE is the thickness of the mesoporousphotoelectrode and b is the bulk electrolyte layer thickness. (b): Schematic of a multilayer cellgeometry with a porous counterelectrode of thickness a and a separator layer of thickness lSP. Edgeregions are areas that are occupied by the electrolyte but not by the photoelectrode layer.

Considering presumption 1) above regarding electrode separation, it is interesting to examine

the significance of the gap b in view of current transfer between the electrodes. According to the

model derived by Papageorgiou et al., the limiting current density for the cell geometry of figure

1(a) is given by16

jbulklim =

6ϕFDI−3cinit

I−3lPE

1+ bϕ lPE

1fPE(Aλ )

+3ϕ blPE

+ 32

(b

lPE

)2 , (1)

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where ϕPE is the porosity of the mesoporous TiO2 photoelectrode, F is the Faraday constant, DI−3

is the diffusion constant of triiodide, cinitI−3

is the initial open circuit triiodide concentration in the

electrolyte, Aλ is the absorbance of the dyed photoelectrode including electrolyte in the pores, and

fPE(Aλ ) is an absorbance dependent factor that takes into account that photon absorption in the

photoelectrode follows the Beer-Lambert law. It is to be noted here that the significance of the

factor fPE(Aλ ) is related to the simplifying assumption C) regarding the photoelectrode light ab-

sorption profile. In the case of nonuniform absorption (Aλ > 0, fPE(Aλ )< 1), light intensity decays

as a function of absorption distance, which means that, on average, dye injection and regenera-

tion take place farther from the counterelectrode than in the case of uniform absorption (Aλ = 0,

fPE(Aλ ) = 1) thus increasing the average diffusion distance of the I−3 ions. Increased average diffu-

sion distance lowers jlim, which in equation (1) is accounted for with a value of the factor fPE(Aλ )

less than unity.16 Here we use fPE(Aλ ) = 1 since our interest is to estimate the theoretical upper

limit for the limiting current density.

The next step in our analysis is to link the expression for jlim in eq. (1) to a cell geometry

more suitable for a DSC with the ionic liquid-carbon nanocomposite electrolyte. Here we utilize a

geometry presented in fig. 1(b), based on three adjacent porous layers; a photoactive mesoporous

TiO2 electrode of thickness lPE, a non-sensitized separator layer of thickness lSP, and a porous

counterelectrode of thickness a, depicting the carbon nanoparticles contained in the electrolyte

formulation.17 There are varied opinions in the literature as to where the interface between the

cathodic structure, i.e. carbon nanoparticles bound by the ionic liquid, and the pure ionic liquid

electrolyte medium in the pores of the photoelectrode film actually resides, and correspondingly

whether the cathodic charge transfer occurs outside or inside the porous photoactive TiO2 struc-

ture. On one hand, the mesopores have been considered too narrow for the carbon nanoparticles

to enter,14 in which case charge transfer would optimally take place at the outer surface of the

TiO2 layer. Thereagain, experimental results have been published according to which ionic liquid-

covered carbon nanoparticles penetrate deep into the TiO2 mesopores and thus the cathodic charge

transfer and dye regeneration would occur in very close proximity to each other.22 Our theoretical

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analysis in this paper is based on our own SEM images, presented in the results part, according to

which TiO2 pores remain mainly free of carbon nanoparticles and only the ionic liquid penetrates

through into the mesoporous TiO2 structure.

The expression for the limiting current density in the standard DSC structure (eq. 1 and fig.

1(a)) can be modified to yield an upper limit estimate for the limiting current density in the compos-

ite electrolyte DSC in fig. 1(b). Making simplifying assumptions A)-C), and defining cPE, SP

I−3(@ jlim)

as the average I−3 concentration in the redox-active volume of the electrolyte at the limiting current

conditions, that is, the PE and the separator layer pores in this case (I−3 is depleted from CE pores

at jlim), we can rewrite equation (1) for the fig. 1(b) porous multilayer case as

j SPlim =

6ϕPEFDI−3cPE, SP

I−3(@ jlim)

lPE

1+ ϕSPϕPE

lSPlPE

1+3ϕPEϕSP

lSPlPE

+ 32

(lSPlPE

)2 , (2)

where ϕSP and lSP are the porosity and the thickness of the separator layer respectively. Differ-

ences in eq. (2) with respect to eq. (1) become apparent if we consider that we have substituted

fPE(Aλ ) = 1, and that the bulk electrolyte layer of thickness b and porosity of 1 has been replaced

with a separator layer of thickness lSP and porosity of ϕSP. In practice, this means firstly that light

absorption in the PE is assumed uniform, and secondly, that the CE pores have been entirely de-

pleted of I−3 , and the charge transfer current on the whole cathode structure is concentrated in the

immediate vicinity of its interface with the separator layer. The last mentioned consideration is

motivated by theoretical analysis of porous counterelectrodes, which has shown that the porous

cathode cavities function as a sort of I−3 reservoir, providing I−3 to regions of reduced concentra-

tion i.e. the photoelectrode and separator layers in this case.17 Note that in the case of a planar

CE, limiting current density is reached when I−3 concentration at the planar electrode surface ap-

proaches zero. In the porous CE case, however, zero concentration on the entire cathode surface,

corresponding to a fully developed diffusion limitation, requires the depletion of I−3 from the whole

porous structure. Therefore, as stated in the simplifying assumption A) above, our estimations for

jlim are based on the presumption that, at the limiting current conditions, the entire supply of I−3

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has diffused out of the carbon mesopores, and thus provides an additional contribution to the con-

centration of I−3 in the other parts of the cell, in this case, the pores of the separator layer and the

mesoporous TiO2 photoelectrode.

To calculate an upper-limit estimation for jlim on the basis of eq. (2), we need a credible esti-

mate for the average I−3 concentration in the redox-active volume. Our estimation for this quantity

is based on the following arguments: I) Since the ionic liquid-carbon nanocomposite electrolyte

functions without additive triiodide, we must assume that the total concentration of I−3 originates

from either photogenerated or impurity triiodide, or both. II) As stated in simplifying assumption

A), we assume that all I−3 originally present throughout the electrolyte volume, including the edge

regions, is accumulated in the PE and separator layers at the limiting current conditions. III) As-

suming fast regeneration of oxidized dye molecules (i.e. negligible concentration of oxidized dye

at steady state), all photoinjected electrons can be expected to originate from I− anions oxidized to

one I−3 molecule per each pair of injected electrons through reactions

γ +Dinjection−−−−→ D++ e−(CB) (3)

3I−+2D+ regeneration−−−−−−→ I−3 +2D, (4)

where D+ and D are oxidized and neutral dye molecules respectively, γ is an absorbed photon, and

e−(CB) are electrons injected into the conduction band (CB) of TiO2. The exact concentrations

of I−3 and I− thus depend on the illumination-induced total charge temporarily accumulated as

electrons in both trap and conduction band states of the mesoporous PE and the separator layer (in

addition to the photoactive layer, electrons diffuse also in the separator layer since we assume here

that it is made of semiconducting TiO2 particles).

With arguments I) - III), the average I−3 concentration at the limiting current conditions can be

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written as (valid for both cell geometries in fig. 1)

cPE, SP

I−3(@ jlim) = cphg

I−3(@ jlim)+ cimp

I−3(@ jlim) (5)

=

(nTiO2

light −nTiO2dark

)[(1−ϕPE)lPE +(1−ϕSP)lSP]

2NA [ϕPElPE +ϕSPlSP +b]

+cinit

I−3

[ϕPElPE +ϕSPlSP +b+ϕaa+ϕedgeVedge

][ϕPElPE +ϕSPlSP +b]

, (6)

where nTiO2light and nTiO2

dark are PE electron densities under illumination and in the dark respectively,

lSP and ϕSP are respectively the thickness and the porosity of the separator layer, Vedge and ϕedge

are respectively the volume and porosity of edge regions occupied by electrolyte, cphgI−3

(@ jlim) and

cimpI−3

(@ jlim) are respectively the average photogenerated I−3 and the impurity I−3 concentrations in

the redox-active volume at limiting current conditions, and cinitI−3

is the initial open circuit (impurity)

I−3 concentration in the dark. Here we have assumed for simplicity that the volume of the dye

monolayer is negligible. We have also associated the carbon nanocomposite layer with a porosity

following from the quasi-solidification of the electrolyte, given by

ϕa =

msolρsol

mdispρdisp

+ msolρsol

=

(mdisp

msol

ρsol

ρdisp+1

)−1

, (7)

where msol and ρsol are the mass and the density of the solvent respectively, and mdisp and ρdisp are

the mass and the density of the dispersed carbon nanoparticles respectively.

To quantify the significance of impurity I−3 contained in pure PMII we require an estimation for

the term cinitI−3

in eq. (6). For experimental evaluation of cinitI−3

we consider here a cell consisting of two

symmetric, parallel planar electrodes and pure PMII as electrolyte. As there is no photoelectrode

in this kind of cell, it is clear that there will be no photogeneration of electrons either. Moreover, in

eq. (6), all dimensional terms except b will equal to zero. We can thus see that in eq. (6), regardless

of the cell voltage, current density or the cell dimensions, the total I−3 concentration will equal to

the initial concentration cinitI−3

. For a planar symmetric cell, relationship between jlim and DI−3can

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be written as23

DI−3=

δdiff

4zFcI−3

jlim, (8)

where z is the valence number and δdiff is the diffusion layer thickness equaling half the electrode

separation. On the other hand, DI−3can be expressed with respect to the characteristic frequency of

diffusion in a finite layer (ωdiff ) as23

DI−3= ωdiff δ 2

diff . (9)

Combining equations (8) and (9) allows us to express the (impurity) I−3 concentration in a symmet-

ric planar cell as

cinitI−3

=jlim

4zFωdiff δdiff, (10)

where z = 2 in this case. An experimental estimate of cinitI−3

can be obtained by determining jlim by

cyclic voltammetry and ωdiff by electrochemical impedance spectroscopy.

Experimental

Cell materials and assembly

The substrate material was fluorine-doped tin oxide (FTO) coated glass (Pilkington TEC-15, 15

Ω/sq, Hartford Glass Company, Inc.). Two electrolyte filling holes 1 mm in diameter were drilled

in TEC-15 substrates to be used as counterelectrodes in liquid electrolyte DSCs. After rinsing with

washing detergent, the substrates were ultrasonicated in ethanol and then in acetone, three minutes

in both. The conducting side of the photoelectrode side substrates was then coated with a ∼35 nm

overlayer of TiO2 through atomic layer deposition (ALD) to ensure electrical isolation of FTO

from the conducting ionic liquid-carbon nanoparticle electrolyte paste.

Photoactive mesoporous TiO2 layers were prepared by screen-printing a TiO2 paste (Dyesol

18NR-T) on the center of the ALD-deposited area of the substrates in a rectangular pattern 0.4 cm2

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in area. Two layers ∼ 4µm thick each were deposited in each printing cycle, followed by a ten

minute drying period on a hotplate at 110 C. The photoactive layers were coated with a ∼ 4µm

thick light-scattering overlayer of porous anatase TiO2 with a particle diameter greater than 100 nm

(Solaronix Ti-Nanoxide R/SP) by screen-printing. The printed substrates were sintered for thirty

minutes at 450C.

The sintered photoelectrodes were placed overnight in a dye bath of 0.32 mM cis-bis(iso-

thiocyanato)bis(2,2’-bipyridyl-4,4’-dicarboxylato)ruthenium(II) bistetrabutylammonium (Dyesol

N719, used as received) in AA-grade ethanol (min. 99.5 wt. %). After dyeing, the photoelec-

trodes were rinsed with A14 grade ethanol (91.2 wt. %) and placed in storage embedded in A14

ethanol.

Platinized counterelectrodes (PtCE) were prepared by thermal platinization of the conducting

side of a TEC-15 substrate with a 10 mM solution of platinum tetrachloride (PtCl4, 99.99 %,

Aldrich) in 2-propanol (99.99 %, Sigma-Aldrich) at 385 C for 15 minutes.

Organic liquid electrolyte (denoted OLE in the text) composed of 0.05 M iodine (99 %, Merck),

0.5 M N-methylbenzimidazole (99 %, Sigma-Aldrich), 0.5 M 1-propyl-3-methylimidazolium io-

dide (PMII, >99 %, Iolitec) and 0.1 M Guanidinium thiocyanate (>99 %, Merck) in 3-methoxy-

propionitrile (MPN, >99 %, Alfa-Aesar) was mixed in a measuring bottle in room air and left

enclosed for stirring overnight. Dry ionic liquid electrolyte (denoted ILE (dry) in the text) was

prepared such that the ionic liquid (PMII, >98 %, Iolitec) was first dried in a vacuum oven at

100 C under reduced pressure overnight and moved into a glovebox with a humidity level of less

than 10 ppm, after which 0.26 M iodine, 0.5 M N-methylbenzimidazole and 0.1 M Guanidinium

thiocyanate were mixed into the dried PMII and the composition was stirred overnight. Electrolyte

denoted simply ILE was prepared with similar components in room air and thus contains some

water absorbed from ambient air.

Ionic liquid-carbon nanocomposite electrolyte (denoted PMII/PACB) was prepared such that

0.5 grams of 20 wt. % polyaniline on carbon black (PACB, Sigma-Aldrich) was dispersed into 4.0

grams of PMII by grinding in an agate mortar for ∼30 minutes in room air to form a black clay-like

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composite shown in figure 2(a). Pure PMII reference was stirred ∼50 minutes in an open container

exposed to room air so that the absorbed water contents of the pure PMII and the PMII/PACB

composite would approximately concur to each other.

(a) (b)

Figure 2: (a): The PMII/PACB composite prepared by grinding with a viscous paste-like appear-ance. (b): The PMII/PACB composite used as an electrolyte in a dye solar cell.

Photo- and counterelectrodes were joined by melting a DuPontTMSurlyn R⃝1702 frame sealant

between them on a hotplate adjusted to 110 C. Fabrication of the symmetric platinized coun-

terelectrode (PtCE-PtCE) cells follows the pattern described above with the exception that the

photoelectrode was replaced by a second, identical platinized counterelectrode. Thickness of the

frame sealants was (24.4±0.6) µm as measured by profilometry. DSCs were also prepared with a

reduced electrode separation, referred to as pure PMII (thin) in the text. These DSCs were prepared

with a thinned-down spacer sealant bringing the planar counterelectrode into physical contact with

the separator layer, thus reducing the bulk electrolyte layer thickness negligible. For thinning, the

Surlyn was heated slightly above its Vicat softening temperature of 65 C using a hot air gun, and

stretched with the help of a bench vice and a chip clip until the thickness of the foil was approxi-

mately half of the initial value. The sealant thicknesses were further confirmed by profilometry.

To prepare the PMII/PACB DSCs, a layer of the PMII/PACB paste was doctor-bladed on plain

FTO-glass using a tape mask. No additional catalyst, e.g. Pt, was used on the FTO surface. A

frame foil was then carefully positioned around the deposited PMII/PACB paste while avoiding

penetration of the paste between the substrate and the sealant, after which a dyed photoelectrode

was pressed against the counterelectrode on a hotplate to close the cell. A picture of a closed

PMII/PACB DSC can be seen in fig. 2(b). Liquid electrolyte DSCs, on the other hand, were filled

after the frame sealing through two filling holes that were consequently blocked with a 45 mi-

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crometers thick Surlyn R⃝1601 cover sealant melted between the backside of the counterelectrode

substrate and a microscope cover glass.

Electrical contacts were prepared with copper tape and conducting silver paint. Epoxy was

applied on top of the paint to protect the silver layer and to provide mechanical integrity. An

opaque black tape mask with an opening of 0.7 cm2 in area was glued on the photoelectrode side

substrate to minimize the effect of stray light during a jV -measurement.

SEM samples were prepared by opening the cells and cutting the photoelectrode substrate with

a glass cutter.

Measurements and equipment

jV -curves were measured with a non-commercial solar simulator utilizing ten 150 W halogen

lamps. The measured current densities were corrected for a spectral mismatch factor of 0.94. Irra-

diation power was adjusted to 1000 W/m2 with the help of a silicon calibration cell to correspond

to AM 1.5G conditions. The jV -behavior of an illuminated DSC was measured with a Keithley

2420 3A SourceMeter.

Electrochemical impedance spectroscopy (EIS) response of the symmetric PtCE-PtCE cells

was measured with a Zahner IM6 Impedance Measurement Unit with an R-MUX multiplexer card.

The frequency range used was from 10 mHz to 100 kHz. Amplitude of voltage modulation was

10 mV, and bias voltage was fixed to 0 V. Zview 2 software by Scribner was used for equivalent

circuit fitting.

Screen printed thick-film thicknesses were measured using a Dektak 6M stylus profiler pro-

filometer by Veeco Instruments. Viscosity measurements were performed with a Physica MCR 301

rheometer (Anton Paar GmbH). Inbuilt temperature control system was used to determine the tem-

perature dependence of viscosity. All reported temperatures excluding the viscosity measurement

were measured with a type K thermocouple attached to a Testo 925 thermocouple thermometer.

Scanning electron microscopic (SEM) images were taken with a Zeiss Sigma VP. Acceleration

voltage was 10 kV in the case of figures 4(a), 4(b) and 4(d), and 1 kV in the case of fig. 4(c).

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The reported experimental results are an average over a minimum of three samples. We have

used the standard error of the mean to estimate component errors, and the total differential for

estimating the maximum error of functions of several component variables.

Results and discussion

To obtain a good picture of the overall operation of the ionic liquid-carbon nanoparticle (PMII/PACB)

electrolyte DSC, we first compare it with chosen reference cases, namely pure PMII and standard

MPN based electrolytes, in terms of current-voltage characteristics and especially the temperature

behavior of jsc. The experimental jsc values are then compared with modeled upper-limit estimates

for jlim revealing the main result of the paper.

Photovoltaic performance and its temperature dependence

The ionic liquid-carbon nanocomposite electrolyte (PMII/PACB) greatly outperformed reference

pure PMII electrolyte in its current carrying ability at room temperature, which can be seen in table

1 listing the photovoltaic parameters of our cells. Here we note that in our case the performance

difference between the PMII/PACB electrolyte and pure PMII was strongly temperature dependent,

in particular when it comes to jsc. This can be seen in fig. 3(a) illustrating the evolution of the

current-voltage behavior of pure PMII DSCs during several consecutive back and forth voltage

sweeps under the heat irradiance of the solar simulator lamps (without cooling). In addition to

the factor of six increase in the short circuit current density, the open circuit voltage dropped by

∼50 mV when the photoelectrode substrate outer surface temperature (TS) increased from ∼30 C

to ∼50 C. The current density increase can be linked to exponentially declining viscosity of pure

PMII as a function of temperature as shown in figure 3(b), and a consequent enhancement in the

limiting current density. As seen in fig. 3(b), the viscosity of pure PMII is decreased by a factor of

∼5 with temperature climbing from 25 C to 50 C, in fair agreement with the observed increase

in the short circuit current density.

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Table 1: Photovoltaic parameters measured close to room temperature, including the effi-ciency (η), the short circuit current density ( jsc), the open circuit voltage (Voc) and the fillfactor (FF) of DSCs with a carbon nanoparticle-ionic liquid composite, a pure PMII or anOLE electrolyte. Neither efficiency nor fill factor of the pure PMII cells were determined dueto insufficient ambient temperature control in the solar simulator for these samples.

electrolyte η jsc Voc FF(%) (mA cm−2) (mV)

PMII/PACB 1.0±0.2 2.8±0.3 506±9 0.69pure PMII - 0.5±0.2 505±6 -pure PMII (thin) - 0.76±0.05 493±9 -ILE 1.5±0.2 4.2±0.4 581±9 0.62OLE 4.2±0.7 9.0±0.7 722±7 0.64

curr

ent density (

mA

cm

)-2

T =S

34 °C

T =S

54 °C

increasing temperature:voltage sweep direction:

temperature (°C)

dynam

ic v

iscosity (

cp)

voltage (V)

curr

ent density (

mA

cm

)-2

T =S

29 °C

T =S

53 °C

increasing temperature:voltage sweep direction:

(c) PMII/PACB

(a) pure PMII

(b) pure PMII viscosity

increasing temperature:

T =S

37 °C

T =S

51 °C

(d) MPN

curr

ent density (

mA

cm

)-2

voltage (V)

voltage (V)

Figure 3: Initial jV -curves at 25-35 C and the effect of solar simulator lamp-induced cell surfacetemperature (TS) increase for DSCs with different electrolytes. Temperature dependence of thedynamic viscosity (µ) of pure PMII is shown in (b).

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On the other hand, the temperature behavior of PMII/PACB, as seen in fig. 3(c), differed no-

tably from that of pure PMII. As the cells heated up, instead of increasing such as in the pure PMII

case, jsc of the PMII/PACB cells decreased to about 80 % of the starting value. Simultaneously, Voc

dropped ∼50 mV similar to what was observed with pure PMII. Based on an expected Arrhenius-

type exponential temperature dependence of the recombination rate constant we assume here that

the decline in both jsc and Voc with increasing temperature derives from magnified recombination

losses with a possible contribution from a downward shift of the TiO2 conduction band energy.

A similar phenomenon was also visible in the reference MPN cells (fig. 3(d)), although in much

smaller scale due to considerably lower recombination current density to begin with. Finally, we

note that at ca. 54 C, jsc was higher with pure PMII than with PMII/PACB. Without a possibility

for a detailed analysis, here we tentatively assign the lower jsc in the PMII/PACB cells to recombi-

nation losses due to direct contact of the semiconducting spacer layer with the PACB particles that

can catalyze the I−3 reduction reaction.

The above results give support to earlier publications14,22,24,25 in the sense that considerably

higher photocurrents were obtained with an electrolyte where an ionic liquid (here PMII) was

quasi-solidified with carbon nanoparticles ( jsc ≈ 3 mA/cm2), rather than merely using pure PMII

as electrolyte ( jsc ≈ 0.5 mA/cm2), close to room temperature (∼30C). Minimizing the bulk elec-

trolyte layer in the pure PMII (thin) case narrowed the difference only slightly ( jsc ≈ 0.76 mA/cm2).

These results strongly suggest that quasi-solidification of pure PMII with carbon nanoparticles, al-

beit raising an issue of significant current loss through recombination, expedites charge transfer

to such a degree that diffusion limitation observed with pure PMII is removed without the need

for additive iodine. Moreover, minimizing the bulk electrolyte layer thickness improved the pho-

tocurrent only slightly in the pure PMII case, which indicates that the two main hypothesis for

the PMII/PACB electrolyte operation, namely photogeneration of I−3 and shortened diffusion layer

thickness, are not sufficient to explain the high jsc of the PMII/PACB DSCs.

In this work, efficiencies were considerably lower than in the earlier publications where cor-

responding electrolyte compositions of ionic liquid and carbon nanoparticles were used, and ef-

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ficiencies up to 6.37 % have been reported.11,13–15,22,24–27 This is most likely due to the lack

of TiCl4 treatment on the sintered photoelectrodes and/or thinner ∼ 8 µm photoelectrodes in the

present case. However, as will be discussed below, our experimental jsc values are sufficiently high

compared to the theoretical upper limit for jlim in order to confirm the incapability of previously

presented rationalizations (photogeneration of I−3 and shortened diffusion layer thickness) or newly

suggested in this paper (impurity I−3 ) in explaining the operation of the PMII/PACB DSC. Consid-

ering that our jsc values were comparably low, the above conclusion should also be valid regarding

the results of the earlier publications where higher values of jsc were obtained and the discrepancy

between the modified model used here and experimental results is even greater. In the following,

we seek further understanding on this result by estimating the upper limit of jlim enhancement

deriving from various sources described in the theory section. First, however, we confirm through

SEM imaging that the actual layer structure of the PMII/PACB DSCs is in agreement with the

structure assumed in the theoretical modeling.

Supporting evidence for the modeled multilayer cell geometry from SEM

imaging

Scanning electron microscopic (SEM) images provided confirmation that the multilayer structure

depicted in fig. 1(b) is in good correspondence with the actual structure of the PMII/PACB cells.

In view of modeling considerations, it was important to rule out the possibility that the PACB par-

ticles penetrate into the separator layer, and possibly even further into the mesoporous photoelec-

trode layer. Should this mixing of the layers occur, the carbon material, functioning as a cathodic

structure in our model, would penetrate even closer to dye molecules, and eq. (2) expression would

no longer represent an upper limit for jlim. The acquired SEM images strongly suggest that PACB

particles do not penetrate farther than one or two micrometers into the separator layer, and that the

rest of the spacer layer and the mesoporous photoelectrode layer are PACB-free. Therefore we can

conclude that, from the diffusion modeling viewpoint, fig. 1(b) schematic is a valid depiction of

the PMII/PACB DSC.

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0.5 µm

lPE

lSP

5 µm

lSP

a

5 µml

PE

lSP

FTO

10 µm

a

(a) (b)

(c) (d)

Figure 4: (a): SEM image of the photoelectrode with the FTO glass on top, the mesoporous layercomposed of ∼ 20 nm TiO2 particles in the middle, and the separator layer composed of large> 100 nm TiO2 particles undermost. The PMII/PACB layer is not visible below the separator layerdue to the last mentioned being cracked during microscopic sample preparation. (b): Interfacebetween the mesoporous TiO2 and the separator layer with high magnification. Neither of thelayers show any sign of PACB penetrating into the pores. (c): SEM image of the PMII/PACBlayer. A portion of the cracked spacer layer is visible at the top of the image, into which thePMII/PACB electrolyte has penetrated a short distance (about a micrometer thick white stripe). (d):Magnification of the interface between the PMII/PACB layer (bottom) and the separator layer (top).The layers can be clearly distinguished by their colour. Judging by the clearly porous structure ofthe topmost area depicting the cracked separator layer, PACB seems not to have penetrated morethan 1-2 µm into the pores.

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Estimation of impurity I−3 and photogenerated I−3 concentrations at the limit-

ing current conditions

In the expression for the average redox-active volume I−3 concentration in eq. (6), impurities

and photogeneration were taken into account as possible sources of non-additive I−3 . Here we

firstly estimate the impurity I−3 concentration experimentally by using a combination of cyclic

voltammetry (CV) and electrochemical impedance spectroscopy (EIS) techniques as described in

the theory section. Secondly, assessing the amount of photogenerated I−3 on the basis of eq. (6)

requires knowledge about the photoelectrode electron density under operating conditions, which

we have approximated here based on the literature.

Open circuit I−3 concentration cinitI−3

of pure PMII was measured from symmetric PtCE-PtCE

cells at Vbias = 0 V by determining ωdiff using EIS and jlim through CV, and substituting both

quantities into eq. (10). Table 2 shows the above mentioned quantities for different electrolytes,

and in addition, diffusion coefficients calculated on the basis of eq. (9). Triiodide concentrations

of OLE and ILE (dry) electrolytes obtained with the above described method correspond well with

their respective additive iodine concentrations of 50 mM and 260 mM. Additive I2 being the only

significant source of I−3 in the OLE, the good correspondence between the added and the measured

I−3 concentrations shows that the method of eqs. (8)-(10) gives reasonably accurate estimates for

the free I−3 concentration. The method gives relatively low but significant free I−3 concentration of

(8± 2) mM for the pure PMII, which in the absence of additive iodine corresponds fully to the

impurity I−3 . It is noteworthy that this impurity concentration is only 3 % of the additive I−3 in the

ILE.

Photoelectrode electron density has been investigated earlier in the literature through time in-

tegration of photocurrent decay transients.28,29 In this method, a DSC is initially illuminated from

the photoelectrode side for 5 s with a red light emitting diode at open circuit. After a short voltage

decay period in the dark, the residual charge is extracted from the photoelectrode at short circuit

conditions. Varying the decay period a voltage-charge relationship is obtained.29 It has been found

that while the solvent type has a subtle effect on the electron density at a given photovoltage,28

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Table 2: Diffusion-related parameters for the studied electrolytes (from PtCE-PtCE-cells).Characteristic frequency of diffusion (ωdiff ) was determined through EIS at Vbias = 0 V. Lim-iting current density ( jlim) was measured through CV and substituted along with ωdiff into eq.(10) to obtain the concentration of I–

3 . The triiodide diffusion coefficient DI−3was calculated

from eq. (9). caddI−3

corresponds to the concentration of additive I−3 .

electrolyte ωdiff (EIS) DI−3(eq. (9)) jlim (CV) cadd

I−3cinit

I−3(eq. (10))

[s−1] [cm2 s−1] [mA cm−2] [mM] [mM]OLE 2.7±0.3 (4.0±0.6) ·10−6 38±2 50 60±20ILE (dry) 0.12±0.02 (1.7±0.3) ·10−7 7±1 260 260±90pure PMII 0.090±0.004 (1.3±0.2) ·10−7 0.160±0.002 0 8±2

certain additives such as TBP1 can reduce the charge density up to a factor of five.29 Based on

the figure 3(a) of Paulsson et al.28 and figure 2 of Boschloo et al.,29 we estimated the difference

between electron densities under illumination (nTiO2light ) and in the dark (nTiO2

dark ), i.e. the photoinjected

electron density, to vary between nTiO2light −nTiO2

dark ∼ 1018cm−3...1019cm−3 in the relevant DSC oper-

ating voltage range of ∼ 0.4V...0.6V. From the viewpoint of our effort to find an upper limit for

jlim, it is crucial not to underestimate the value of this quantity. Therefore, nTiO2light − nTiO2

dark = 1019

cm−3 was used in our calculations, which, substituted into eq. (6), gives an I−3 concentration rang-

ing from few to few tens of mM depending on cell dimensions, which is in the same order of

magnitude as the impurity I−3 concentration of pure PMII.

Theoretically predicted upper-limits for jlim and comparison to experimental

results

Redox-active volume average I−3 concentration (see eq. (6)) and consequently the theoretical

upper-limit estimation for jlim (see eq. (2)) were modeled separately with two different presump-

tions; in the first we consider that all I−3 in the DSC edge regions (see fig. 1) accumulates into the

redox-active volume as suggested by numerical simulations,18 whereas in the second we omit the

edge region entirely to get an idea of the theoretical significance of this accumulation phenomenon

on jlim.

1tert-butylpyridine

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Comparison of modeled j SPlim values in table 3 with experimental results in table 1 shows that,

while experimental behavior of all-liquid electrolytes is within reasonable consistency with the

model, the PMII/PACB electrolyte exhibits anomalously high experimental jsc with respect to the

diffusion model. For the pure PMII electrolyte, the model yielded a j SPlim of 0.27-0.57 mA cm−2,

coinciding fairly well with the experimentally observed jsc of 0.5±0.2 mA cm−2. For the organic

liquid electrolyte (OLE), the model reproduced a j SPlim of 50-118 mA cm−2, whereas in the dry

ionic liquid electrolyte (ILE (dry)) case it was 8.9-22 mA cm−2, both of which are, as expected,

considerably higher than jsc (4.2± 0.7 mA cm−2 with OLE and 1.5± 0.2 mA cm−2 with ILE).

On the other hand, in the case of the PMII/PACB electrolyte, the model yielded j SPlim of 0.85-

1.7 mA cm−2 which is one-and-a-half to three times lower than the experimentally observed jsc of

2.8±0.3 mA cm−2. The difference between the theory and experiments is emphasized when we

consider that jsc values of over 9 mA cm−2 have been reported13,14 for this type of electrolyte with

very similar materials and layer thicknesses as in our case, when in fact, according to the modified

model, jlim should not exceed 1.4-2.9 mA cm−2 in the literature case (without better knowledge

we assumed the volume of the edge region in ref.14 to be the same as in our case, see table 3 for

parameter values in this case).

Based on the experimental results in table 1 we already concluded that most of the anomalous

jsc increase has its origins in the properties of the PMII/PACB layer other than its effect of reducing

the diffusion layer thickness. Modeling considerations support this conclusion; according to the

model, the j SPlim of pure PMII cells with a thin sealant resides at 0.42-0.88 mA cm−2, which is in the

same order of magnitude as the experimental value of jsc 0.76±0.05 mA cm−2 for the pure PMII

(thin) cells. Comparing these values to the modeled j SPlim of 0.27-0.57 mA cm−2 and experimental

jsc of 0.5±0.2 mA cm−2 for the pure PMII cells with a sealant of normal thickness, we can see that

minimizing the bulk electrolyte layer brought approximately a one-and-a-half fold jlim increase in

both modeled and experimental results. However, as already mentioned, this improvement was

not enough to explain the high jsc in the PMII/PACB cells. We are thus led to conclude that

despite the model being valid for all-liquid electrolytes, it does not explain jsc of the PMII/PACB

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Table 3: Modeled jlim and redox-active volume average I−3 concentrations at limiting currentconditions, and the various parameters used in the modeling of the different electrolytes. Weassumed that in the PMII/PACB electrolyte the impurity I−3 concentration was 8 mM suchas in pure PMII. Literature14 values correspond to layer thicknesses reported in conjuctionwith an achieved jsc of over 9 mA cm−2 with a PMII/PACB type of DSC (other parametersassumed the same as in this work). Thin sealant (as opposed to normal sealant) correspondsto minimized bulk electrolyte layer thicknesses in the pure PMII (thin) cells (see table 1). Inthe case of the PMII/PACB and the pure PMII electrolytes, depletion of impurity I−3 fromthe porous CE causes a significant increase in cPE, SP

I−3(@ jlim) as compared to the initial open

circuit concentration cinitI−3

, and is further magnified if we take accumulation of I−3 from theedge regions into account.

lPE lSP b a Vedge ϕPE ϕSP ϕa ϕedge nTiO2light −nTiO2

dark DI−3cinit

I−3cPE, SP

I−3(@ jlim) j SP

lim

refs28,29 from eq. (9) from eq. (8) from eq. (6) from eq. (2)[µm] [µm] [µm] [µm] [µl]

[cm−3] [

cm2s−1] [mM] [mM][mA cm−2]

PMII/PACB

This work

7.6 3.8 0 13 1.1 0.5 0.5 0.91 0.91 1019 0.13 ·10−6 8 67 1.77.6 3.8 0 13 0 0.5 0.5 0.91 - 1019 0.13 ·10−6 8 33 0.85

Literature14

10 0 0 15 1.1 0.5 - 0.91 0.91 1019 0.13 ·10−6 8 78 2.910 0 0 15 0 0.5 - 0.91 - 1019 0.13 ·10−6 8 38 1.4

pure PMII

normal sealant

7.6 3.8 13 0 1.1 0.5 0.5 - 1 1019 0.13 ·10−6 8 22 0.577.6 3.8 13 0 0 0.5 0.5 - - 1019 0.13 ·10−6 8 11 0.27

thin sealant

7.6 3.8 0 0 1.1 0.5 0.5 - 1 1019 0.13 ·10−6 8 34 0.887.6 3.8 0 0 0 0.5 0.5 - - 1019 0.13 ·10−6 8 16 0.42

reference

ILE (dry)

7.6 3.8 13 0 1.1 0.5 0.5 - 1 1019 0.17 ·10−6 260 636 227.6 3.8 13 0 0 0.5 0.5 - - 1019 0.17 ·10−6 260 263 8.9

OLE

7.6 3.8 13 0 1.1 0.5 0.5 - 1 1019 4.0 ·10−6 60 149 1187.6 3.8 13 0 0 0.5 0.5 - - 1019 4.0 ·10−6 60 63 50

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cells, not even when all impurity and photogenerated I−3 contained in the electrolyte is assumed to

accumulate to the redox-active region and contribute to the charge transport.

The above considerations suggest that charge transport in the PMII/PACB electrolyte cannot

be explained by normal diffusion given the amount of I−3 deriving from feasible known sources.

To account for the exceptional charge transport behavior requires assuming either a considerably

shorter diffusion layer thickness than expected, an in-pore diffusion coefficient notably exceeding

that of the bulk electrolyte, or an unidentified I−3 source. However, as was evident based on the

fig. 4 SEM images, the PACB particles are not present in the TiO2 pores and thus it is unlikely

that the diffusion layer thickness could be shorter than our optimistic estimation. Regarding in-

pore diffusion coefficient, charge carrier diffusion in organic liquid electrolytes has been verified

to slow down in nanoporous layers.30,31 In the case of ionic liquids, charge carrier diffusion has

been reported to decrease in nanoporous materials,32 although experimental evidence of acceler-

ated in-pore diffusion has also been recently found in the case of 1-butyl-3-methylimidazolium

tetrafluoroborate ionic liquid in nanoporous silica.33 Nevertheless, since diffusion limited jsc of

the thin reference cells with pure PMII corresponded well with the modified diffusion model, it

is unlikely that deviation from the model observed in the case of the PMII/PACB electrolyte is

explained by accelerated in-pore charge transport in the PE and separator layer pores. Thus, within

the framework of the theory, the most credible explanation for the high jlim in the PMII/PACB

DSC is an unexpected I−3 source in addition to the photogenerated I−3 and impurity I−3 that were

quantified here.

As the PMII/PACB DSCs apparently seem to contain more I−3 than expected, we consider here

the concentration of I−3 that would be required in order for the diffusion model and the experiments

to agree. We calculated a minimum "apparent" I−3 concentration required under illumination at

limiting current conditions for the model to allow the experimentally measured jsc by solving for

cPE, SP

I−3(@ jlim) in eq. (2). Substituting j SP

lim with the jsc of 2.8 mA cm−2 experimentally observed

in this work gives a minimum I−3 concentration of 110 mM in the redox-active volume (PE and

separator layer pores), which is 1.6 to 3.3 times higher than the estimated upper-limit concentra-

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tion (see table 3). Similar analysis for the literature14 jsc of 9.2 mA cm−2 gives an apparent I−3

concentration of 240 mM in the redox-active volume, which is 3.1 to 6.4-fold compared to the

value determined in this work.

We refrain here to speculate the possible origins for this high apparent extra I−3 concentration.

Instead, we settle for concluding that the high jsc observed with the PMII/PACB electrolyte cannot

be explained by the combined effect of all the hitherto known mechanisms: photogeneration of

I−3 , shortened diffusion distance, impurity I−3 from the PMII and accumulation of I−3 from the edge

region to the active region. Whether the missing explanation is an unknown I−3 source or a yet

unidentified charge transport mechanism inside the mesoporous photoelectrode, requires further

research.

Conclusions

Improvement of short circuit current density of dye-sensitized solar cells (DSC) upon mixing

polyaniline coated carbon black (PACB) in a pure 1-propyl-3-methylimidazolium iodide (PMII)

ionic liquid electrolyte could not be explained by the previously proposed extended electron trans-

fer surface (EETS) model even when all the following possible hitherto known sources and trans-

port mechanisms for free I−3 ions were taken into account: photogeneration of I−3 , shortened diffu-

sion distance, impurity I−3 from PMII and accumulation of I−3 from the edge region to the redox-

active volume of the electrolyte. Extraordinarily high jsc, unaccountable for by a diffusion model

for liquid electrolyte DSCs, suggests the existence of an unknown triiodide source or an unidenti-

fied charge transport mechanism inside the photoelectrode pores. This means that further research

is necessary to fully understand the electrochemical operating principle of the PMII/PACB elec-

trolyte in the DSC.

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Acknowledgement

The authors thank T. Vainikka and D. Lloyd for help with viscosity measurements and glovebox

operation, K. Miettunen for expertise and assistance regarding substrate treatment and manuscript

proofreading, Beneq Oy for ALD-coating the TiO2 compact layer, and M.I. Asghar for assistance

with SEM imaging. This work was funded partially by Multidisciplinary Institute of Digitization

and Energy (MIDE) of Aalto University (project CNBe), and partially by Tekes - the Finnish

Funding Agency for Technology and Innovation, under the project Robust dye solar cells printed

on metal (KesMPV), number 2928/31/2010.

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Graphical TOC Entry

photoelectrode

FTO substrate

separator layer

ionic liquid -carbon nanoparticleelectrolyte paste

short I diffusion distance3

-

impurity I accumulation3

-

I photogeneration3

-

I3

-

3 I-

2 e-

ohmic conduction

ALD-coated TiO thin layer2

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