This talk is on some of the basics of making proper solar cell efficiency measurements and deriving correct information from 2 and 3 electrode measurements.
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1. Measuring Photoelectrochemical
Performance of QDSCs.
Interpreting 2 and 3 Electrode Measurements
Jeff Christians and Prashant V. Kamat
Radiation Laboratory
Department of Chemical & Biomolecular Engineering
Department of Chemistry & Biochemistry
University of Notre Dame
Notre Dame, IN 46556
2. What is a Potentiostat?
• Potentiostats measure current in a cell when a
potential is applied (or voltage when a current is
applied)
- Electrode Solution Reduction Reaction - Electrode Solution
A + e - A-
Potential
Potential
Oxidation Reaction
A - e- A+
+ +
Bard, A. J., Electrochemical Methods
Introduction 2-Electrode 3-Electrode Summary
3. Ideal Electrodes - +
Power Supply
Eappl
V=ixR + -
i
Eappl
Eappl = i x Rsol’n Rsol’n
i
- +
Equivalent Circuit
i
Slope = Rsol’n
Ideal Electrode
Ideal Electrode
Eappl Rsol’n
Bard, A. J., Electrochemical Methods
Introduction 2-Electrode 3-Electrode Summary
4. Real Electrodes - +
Power Supply
• Ideal vs. Real Electrodes
– Ex. 2 SCEs in a KCl solution
Eappl
i i
- +
Eappl
Rsol’n
SCE
SCE
Ideal electrodes
Real electrodes
Bard, A. J., Electrochemical Methods
Introduction 2-Electrode 3-Electrode Summary
5. Ideal vs. Real Counter Electrodes
• Ideal Counter Electrode non-polarizable
i
Ideal Counter
Reduction Potential Real Counter Electrodes
V
Very Poor
Good Poor
Hodes, G., J. Phys. Chem. Lett., 2012, 3 (9), pp 1208–1213
Introduction 2-Electrode 3-Electrode Summary
6. Overpotential
• Overpotential
– The difference between the thermodynamic
potential of a reaction and the potential at which
it actually occurs.
i Thermodynamic
Potential ΔV
V
Desired current
Bard, A. J., Electrochemical Methods
Introduction 2-Electrode 3-Electrode Summary
7. Overpotential
• Overpotential
– The difference between the thermodynamic
potential of a reaction and the potential at which
it actually occurs.
• Electron transfer across charge double layer
• Depletion of concentration at electrode surface
• Chemical reactions that must occur before electron
transfer
• And MORE!!
Bard, A. J., Electrochemical Methods
Introduction 2-Electrode 3-Electrode Summary
8. Fermi Level
• The Fermi level is a pseudo-state that has a
50% probability of being occupied
– A measure of the potential energy of an electron
in a solid
CB CB CB CB
- - - - - - - - - -
+ + +
+ + + + + + +
VB VB VB VB
Bard, A. J., Electrochemical Methods
Introduction 2-Electrode 3-Electrode Summary
11. Electrochemical Measurements
2 – Electrode Cell 3 – Electrode Cell
Power Supply Power Supply Measure
Current
Measure Current
Working Electrode Working Electrode
i i
Counter Electrode
Eapp Eapp
Reference/Counter Reference Electrode
Electrode
Control Voltage Control Voltage
Bard, A. J., Electrochemical Methods
Introduction 2-Electrode 3-Electrode Summary
12. 2-Electrode Measurements
2 – Electrode Cell 3 – Electrode Cell
Power Supply Power Supply Measure
Current
Measure Current
Working Electrode Working Electrode
i i
Counter Electrode
Eapp Eapp
Reference/Counter Reference Electrode
Electrode
Control Voltage Control Voltage
Bard, A. J., Electrochemical Methods
Introduction 2-Electrode 3-Electrode Summary
13. Recombination and VOC
Step by Step:
-
Potential
EFermi
S2-/Sn2- Cu2S/RGO
CdSe
FTO Desired Electron
+ TiO2 Transfer
Recombination
Introduction 2-Electrode 3-Electrode Summary
14. Recombination and VOC
Step by Step:
- 1. Excitation
1
Potential
EFermi
S2-/Sn2- Cu2S/RGO
CdSe
FTO Desired Electron
+ TiO2 Transfer
Recombination
Introduction 2-Electrode 3-Electrode Summary
15. Recombination and VOC
Step by Step:
- 1. Excitation
2 2. Electron Transfer
1
Potential
EFermi
S2-/Sn2- Cu2S/RGO
CdSe
FTO Desired Electron
+ TiO2 Transfer
Recombination
Introduction 2-Electrode 3-Electrode Summary
16. Recombination and VOC
Step by Step:
- 1. Excitation
2 2. Electron Transfer
3. Recombination
3
1
Potential
EFermi
S2-/Sn2- Cu2S/RGO
CdSe
FTO Desired Electron
+ TiO2 Transfer
Recombination
Introduction 2-Electrode 3-Electrode Summary
17. Recombination and VOC
Step by Step:
- 1. Excitation
2 2. Electron Transfer
4
3. Recombination
EFermi 3 4. Build up e- in CB until
VOC
1 Rexcitation = Rrecombination
Potential
S2-/Sn2- Cu2S/RGO
CdSe
FTO Desired Electron
+ TiO2 Transfer
Recombination
Introduction 2-Electrode 3-Electrode Summary
18. Recombination and VOC
Step by Step:
- 1. Excitation
2 2. Electron Transfer
3. Recombination
4
5 3 4. Build up e- in CB until
EFermi VOC 1 Rexcitation = Rrecombination
Potential
Cu2S/RGO 5. If recombination rate
S2-/Sn2- is increased, VOC is
decreased
CdSe
FTO Desired Electron
+ TiO2 Transfer
Recombination
Introduction 2-Electrode 3-Electrode Summary
19. Role of the Counter Electrode
• Current in each electrode must be the same
so we must count polarization losses at the
counter electrode
Photocurrent (mA cm-2) Red – Working electrode with ideal
15 counter electrode (no-polarization)
10 Blue – Counter electrode polarization
curve
5
-.6 -.4 -.2 Potential (V)
-5
- 10
Hodes, G., J. Phys. Chem. Lett., 2012, 3 (9), pp 1208–1213
Introduction 2-Electrode 3-Electrode Summary
20. Role of the Counter Electrode
• Look at 10mA/cm2
– Photoelectrode potential = 390mV
– Counter Electrode polarization = 95mV
Photocurrent (mA cm-2)
– Actual cell potential at
15
10mA/cm2 = 390mV – 95mV
10
= 295mV
5
-.6 -.4 -.2 Potential (V)
-5
- 10
Hodes, G., J. Phys. Chem. Lett., 2012, 3 (9), pp 1208–1213
Introduction 2-Electrode 3-Electrode Summary
24. A Good Counter Electrode 15
Photocurrent (mA cm-2)
Ideal 10
Good
+ - 5
i Eappl
0
-.6 -.4 -.2
- + Potential (V)
TiO2/CdSe -
Cu2S/RGO EFermi
FTO
Potential
S2-/Sn2-
S2-/Sn2- Cu2S/RGO
CdSe
FTO
+ TiO2
Hodes, G., Gratzel, M. et. al, J. Phys. Chem. B, 2000, 104, 2053-2059
Introduction 2-Electrode 3-Electrode Summary
25. A Good Counter Electrode 15
Photocurrent (mA cm-2)
Ideal 10
Good
+ - 5
i Eappl
0
-.6 -.4 -.2
- + Potential (V)
TiO2/CdSe -
Overpotential
Cu2S/RGO
EFermi
FTO
Potential
S2-/Sn2-
S2-/Sn2- Cu2S/RGO
CdSe
FTO
+ TiO2
Hodes, G., Gratzel, M. et. al, J. Phys. Chem. B, 2000, 104, 2053-2059
Introduction 2-Electrode 3-Electrode Summary
26. A Good Counter Electrode 15
Photocurrent (mA cm-2)
Ideal 10
Good
+ - 5
i Eappl
0
-.6 -.4 -.2
- + Potential (V)
TiO2/CdSe -
Overpotential at JSC
Cu2S/RGO
FTO
Potential
EFermi
S2-/Sn2-
S2-/Sn2- Cu2S/RGO
CdSe
FTO
+ TiO2
Hodes, G., Gratzel, M. et. al, J. Phys. Chem. B, 2000, 104, 2053-2059
Introduction 2-Electrode 3-Electrode Summary
27. A Poor Counter Electrode 15
Photocurrent (mA cm-2)
Ideal 10
Good
+ - Poor 5
i Eappl
0
-.6 -.4 -.2
- + Potential (V)
TiO2/CdSe -
Platinum EFermi
FTO
Potential
S2-/Sn2-
S2-/Sn2- Pt
CdSe
FTO
+ TiO2
Hodes, G., Gratzel, M. et. al, J. Phys. Chem. B, 2000, 104, 2053-2059
Introduction 2-Electrode 3-Electrode Summary
28. A Poor Counter Electrode 15
Photocurrent (mA cm-2)
Ideal 10
Good
+ - Poor 5
i Eappl
0
-.6 -.4 -.2
- + Potential (V)
TiO2/CdSe -
Overpotential
Platinum EFermi
FTO
Potential
S2-/Sn2-
S2-/Sn2- Pt
CdSe
FTO
+ TiO2
Hodes, G., Gratzel, M. et. al, J. Phys. Chem. B, 2000, 104, 2053-2059
Introduction 2-Electrode 3-Electrode Summary
29. A Poor Counter Electrode 15
Photocurrent (mA cm-2)
Ideal 10
Good
+ - Poor 5
i Eappl
0
-.6 -.4 -.2
- + Potential (V)
TiO2/CdSe -
Overpotential at JSC
Platinum
EFermi
FTO
Potential
S2-/Sn2-
S2-/Sn2- Pt
CdSe
FTO
+ TiO2
Hodes, G., Gratzel, M. et. al, J. Phys. Chem. B, 2000, 104, 2053-2059
Introduction 2-Electrode 3-Electrode Summary
30. Summary
• “Real world” device performance
– Cell Efficiency
– Open Circuit Voltage
– Short Circuit Current
• Both electrodes affect performance
• DOES NOT give information about the
performance of individual electrodes
Introduction 2-Electrode 3-Electrode Summary
31. 3-Electrode Measurements
2 – Electrode Cell 3 – Electrode Cell
Power Supply Power Supply
i i
Eapp Eapp
Bard, A. J., Electrochemical Methods
Introduction 2-Electrode 3-Electrode Summary
32. 3 – Electrode Measurements
i
This voltage is set
control the so the counter
potential of the electrode can pass
working electrode Eappl the same current
vs. known - +
as the working
potential of the electrode
Reference Electrode
reference
Working Electrode
Counter Electrode
electrode
Bard, A. J., Electrochemical Methods
Introduction 2-Electrode 3-Electrode Summary
33. 3 – Electrode Measurements
• Set potential of working electrode with
respect to reference electrode
• Potential of the counter electrode is set so
that it passes same current as working
electrode
• Measures only the performance of the
working electrode, counter electrode does not
matter
Introduction 2-Electrode 3-Electrode Summary
34. Interpretation
• Ex. QDSSC with S2-/Sn2- electrolyte
Photocurrent (mA cm-2)
15
10
5
0
1.6 1.2 0.8 0.4 0
Potential (V vs. SCE)
Hodes, G., J. Phys. Chem. Lett., 2012, 3 (9), pp 1208–1213
Introduction 2-Electrode 3-Electrode Summary
35. Interpretation
• Ex. QDSSC with S2-/Sn2- electrolyte
– SCE potential = +0.24V
– S2-/Sn2- redox potential = -0.5V vs. SHE (-0.74V vs
SCE)
Cell Voltage (V) JSC
0.8 0.6 0.4 0.2 0
Photocurrent (mA cm-2)
15
10
5
0
1.6 1.2 0.8 0.4 0
Potential (V vs. SCE)
Hodes, G., J. Phys. Chem. Lett., 2012, 3 (9), pp 1208–1213
Introduction 2-Electrode 3-Electrode Summary
37. Measuring Efficiency
• 2-Electrode measurements + -
i
– Control potential difference Eappl
+
between two electrodes of -
TiO2/CdSe
unknown absolute potential
Cu2S/RGO
– Gives performance of the entire
FTO
S2-/Sn2-
cell
Introduction 2-Electrode 3-Electrode Summary
38. Individual Electrode Performance
• 3-Electrode measurements
– Control potential of one electrode with respect to
a reference of known potential
– Gives performance information of only one
electrode i
Power Supply
Eappl +
-
Reference Electrode
Working Electrode
Counter Electrode
i
Eapp
Introduction 2-Electrode 3-Electrode Summary
39. Thank You!
®
Thank you to those whose work contributed to
this presentation!
More information on the Kamat Research Group can be found at:
www.kamatlab.com
Hinweis der Redaktion
Hello, my name is Jeff Christians and I’m a second year graduate student in the Kamat Lab. Today I would like to talk to you about Measuring Photoelectrochemical Performance of QDSCs. Interpreting 2 and 3 electrode measurements.
A potentiostat is generally used in photoelectrochemical measurements. Potentiostats are simply instruments that measure current between two electrodes when a potential is applied. When the potential of the electrode is higher – or more negative – electrons flow from the electrode into the electrolyte solution, causing a reduction reaction. Likewise, when the potential of the electrode is below – or more positive – electrons flow from the electrolyte into the electrode, causing an oxidation.
When two ideal electrodes are immersed in an electrolyte solution with resistance Rs, as shown on the right, we obtain an ohmic, V= I*R response. Where the IV curve is linear with a slope of Rs.
Now, when this same experiment is performed with 2 real electrodes, the response is ohmic for low current densities, but, at high currents, the response deviates from the linear response seen with two ideal electrodes. This deviation is know as electrode polarization.
Electrode polarization also happens at the counter electrode in liquid junction solar cells. An ideal, non-polarizable, counter electrode would be able to pass any amount of current at the reduction potential of the redox couple, however, real counter electrodes are polarizable. Therefore, depending on how well suited the counter electrode is to the redox couple, to pass a desired current extra voltage needs to be applied.
The extra voltage that needs to be applied in order to pass the desired current is termed overpotential. Overpotential is the difference between the thermodynamic potential of a reaction and the actual potential at which it occurs. As seen below, to pass the desired current with this real, polarizable, electrode, we must apply a potential equal to the thermodynamic potential plus delta V, the overpotential.
This overpotential needed to drive a reaction can be caused by a variety of different factors, some of which are, electron transfer across the charge double layer formed at the electrode/electrolyte boundary, depletion of concentration at the electrode surface, chemical reactions that must occur before electron transfer, and others. In general, the overpotential can be minimized by selecting an appropriate electrode material for use with your redox couple.
Another important concept in semiconductor physics and in understanding solar cell operation is the fermi level. The fermi level of a material is a pseudo-state that has a 50% probability of being occupied, and it is a measure of the potential energy of electrons in a solid. In semiconductors, the fermi level lies between the valance band and conduction band, and does not necessarily correspond with an actual electronic state in the material. In the examples below, we can see that as we raise the relative concentrations of electrons in the conduction band of our semiconductor, we raise the fermi level closer to the conduction band edge and vise versa.
QDSCs are constructed with semiconductor heterojunctions in the working electrode, commonly TiO2 coated with a CdSe sensitizing layer. When two semiconductors with different fermi levels are place in electrical contact with one another,
There is both hole transfer and electron transfer between the semiconductors until the fermi levels reach equilibrium.
Now that we have an understanding of the basic physics needed to understand solar cell performance, let us look at the different measurement techniques employed. Electrochemical measurements can be performed using either a 2 or 3 electrode configuration. In a 2 electrode cell, there is a working electrode, generally the photoactive electrode in QDSCs, and a counter electrode that also functions as the reference electrode. The potential between these two electrodes is then controlled by the potentiostat and the current between the electrodes is measured. In a 3 electrode cell, the counter electrode and reference electrode are separated into two distinct electrodes. The potential of the working electrode is set with respect to the reference electrode and the current between the working electrode and counter electrode is measured.
Let’s first look at solar cell performance using a 2-electrode cell.
In this example, we have a QDSC that has a TiO2/CdSe working electrode on FTO glass, a sulfide/polysulfide redox couple, and a copper sulfide/RGO composite counter electrode. In the dark, there is fermi level equilibration of the entire solar cell to the potential of the sulfide/polysulfide redox couple. The cell is at equilibrium and no current flows between the electrodes. If we illuminate the cell at open circuit conditions, when no current is allowed to flow through the external circuit,
Electrons are excited from the valance band to the conduction band in CdSe.
These excited electrons are then able to be transferred fromCdSe into the conduction band of TiO2
Upon further illumination, some of these conduction band electrons recombine with holes in the CdSe or are scavanged by the redox couple.
Eventually, an equilibrium is reached where the rate of excitation of the CdSe by the incoming light is equal to the rate of recombination. Since we are exciting electrons into the conduction band of CdSe, the steady state concentration of electrons in the conduction band of the TiO2/CdSe composite is increased from its dark concentration, thus increasing the fermi level of the TiO2/CdSe. The difference between the fermi level of the TiO2/CdSe and the potential of the copper sulfide/RGO counter electrode is the open circuit voltage of the cell.
If we were to image the same system with a larger recombination rate, the steady state concentration of electrons in the conduction band of the TiO2/CdSe would decrease, causing a decrease in the fermi level and therefore, a decrease in the cell open circuit voltage.
When we begin to draw current from our solar cell, the counter electrode performance begins to play a significant role because the current in each electrode must be the same since they are in series. In this example, the red IV curve is for a working electrode with an ideal, non-polarizable, counter electrode, and the blue curve is the polarization curve of the actual counter electrode in the cell. When actually measuring a solar cell in a 2-electrode configuration, these two curves become convoluted.
For example, let’s think of the case where we are drawing 10mA/cm2 or current from the working electrode. The potential at which the photoelectrode can provide this current is 390mV, but we must also take into account counter electrode polarization. From the blue counter electrode polarization curve, we see that it requires an overpotential of 95mV to pass 10mA/cm2 or current. Therefore, when we are actually measuring the IV characteristics of our solar cell, the potential that we will be able to draw 10mA/cm2 will be 390mV – 95mV = 295mV. By repeating this same analysis for every current, we can obtain the dashed red curve, the actual measured IV curve of the cell, which is a convolution of the photoelectrode and counter electrode. Now, let’s look at what is happening in a solar cell while we are taking these IV measurements with different counter electrodes.
Let’s start by looking at the case of an ideal counter electrode that can pass any amount of current with no overpotential. When we start scanning potential at Voc, current is zero and the rate of excitation is equal to the rate of recombination.
As we begin scanning the voltage, we decrease the potential of the TiO2/CdSefermi level, drawing current from the working electrode.
We continue to decrease the fermi level of the working electrode until it reaches the potential of the counter electrode. At this point, since there is no potential difference between the working electrode and the counter electrode, we have reached the short circuit current condition. For an ideal counter electrode, at short circuit current, the potential of the counter electrode is equal to the redox potential of the electrolyte because, by definition, an ideal counter electrode can pass any amount of current at the thermodynamic potential of the redox couple.
Now, instead of the case of an ideal counter electrode, let’s consider a solar cell employing a counter electrode with low overpotential, such as the copper sulfide/RGO counter electrode developed in our lab. In this case, at Voc, since there is no current flowing in the cell, the potential of this good counter electrode is the same as that of the ideal counter electrode, so Voc does not change.
As we begin to draw current from the cell we now have a slight overpotential at the counter electrode that is needed to pass this same current. As we saw earlier, this overpotential takes some of the potential that the working electrode is supplying, thus decreasing cell efficiency slightly.
As we continue to scan, we still reach short circuit current conditions when the fermi level of the working electrode is equal to the potential of the counter electrode, but now the potential of the counter electrode is no longer the same as the redox potential of the electrolyte because we need to supply a small overpotential in order to pass the current.
Finally, let’s examine the case of a very poor counter electrode for our sulfide/polysulfide redox couple, platinum. Again, at open circuit conditions, the cell looks the same as it did with the ideal counter electrode because there is no current flowing through the cell.
Unlike with the ideal or Cu2S/RGO counter electrode, as we begin to decrease the potential of the working electrode and draw current however, we immediately see a very large overpotential. This causes a very large decrease in the potential seen for each current density, drastically decreasing the cell’s fill factor.
As we continue to scan the potential we now reach short circuit current conditions, where there is no potential difference between the fermi level of the working electrode and the potential of the counter electrode, at a potential vastly different from the redox potential of the electrolyte. For this counter electrode, much of the voltage of our cell is taken up by the overpotential of the Pt counter electrode.
So, we have seen how 2-electrode measurements can give us real world performance information for solar cells. Using a 2-electrode system, we are able to measure cell open circuit voltage, short circuit current, and calculate cell efficiency. We have also seen how the individual electrode energies change as we measure the IV characteristics of our cell and how each electrode affects the performance of the system. When making 2-electrode measurements it is important to remember that the performance of the working and counter electrodes are convoluted. 2-electrode measurements are the only way to determine overall cell performance, but it is not a suitable method for determining individual electrode performance information.
For individual electrode performance information, we must use a 3-electrode cell.
In a 3-electrode cell, the potential of the working electrode is controlled with respect to the potential of a reference electrode which is designed to hold its potential across a wide variety of conditions. This gives us direct control over the working electrode potential. We then apply a potential to the counter electrode so that the counter electrode is able to pass the same current as the working electrode. This ensures that the current that we measure between the working electrode and the counter electrode is controlled only by working electrode performance, rendering the counter electrode unimportant.
So, in 3- electrode measurements, the potential of the working electrode is set with respect to a reference electrode. The potential of the counter electrode is set so that it passes the same current as the working electrode. This allows us to measure the performance of the working electrode in isolation.
When looking at IV data obtained using a 3-electrode cell, the potential scale is now potential versus the reference potential. Depending on the reference electrode chosen, this could change significantly, therefore, to extract meaningful information about the working electrode performance we must convert this potential scale into a more meaningful one.
Since we know the potential of our saturated calomel reference electrode, 0.24 V, and we know the redox potential of our sulfide/polysulfide electrolyte with respect to the reference electrode, we can adjust our voltage scale to show cell potential. This adjusted IV curve now shows the performance of the working electrode without any counter electrode effects.
Using a 3-electrode cell, it is possible to determine the performance characteristics of an individual electrodes. Providing photoelectrode IV curves or counter electrode polarization curves. These results can be very informative and are often important in characterizing solar cells, but 3-electrode measurements are not able to give information about solar cell efficiencies.
Both 2 and 3 electrode measurements can be used in determining QDSC performance characteristics. Using a 2-electrode setup, the potentiostat controls the voltage between the working and counter electrodes. This measurement gives real world performance information of the solar cell, such as, solar energy conversion efficiency, open circuit voltage, and short circuit current.
3-electrode measurements can also be used for characterizing QDSCs. Using a 3-electrode cell removes the complications of the counter electrode by controlling the potential of the working electrode with respect to a reference electrode. In this way, it is possible to isolate the performance of the individual solar cell electrodes, but it is not possible to determine overall device properties such as efficiency.
Thank you for listening to this presentation on measuring photoelectrochemical performance. I would especially like to thank those people in other research groups who’s research contributed to this presentation. For more information on the Kamat research group here at the University of Notre Dame, visit us on the web at www.kamatlab.com. Thank you.