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Rate Limiting Interfacial Hole Transfer in
Sb2S3 Solid-State Solar Cells.
Jeffrey A. Christians1, David T. Leighton, and Prashant V. Kamat*1,2
Department of Chemical and Biomolecular Engineering, University of Notre Dame, Notre Dame, Indiana 46556
Chemical and Biomolecular Engineering
2Department of Chemistry and Biochemistry
1Radiation Laboratory, Department of

2014, 7, 1148-1158.
DOI: 10.1039/C3EE43844A

®
Sb2S3 Photovoltaics
•

1.7 eV band gap

•

Solution processing

•

®

Promising efficiency

JSC

VOC

FF

η

12.4 mA cm-2

455 mV

0.59

3.3 %

J. A. Christians and P. V Kamat, ACS Nano, 2013, 7, 7967–7974.

2
Motivation
•

Charge separation by electron and hole transfer

•

®

Slow extraction of holes leads to increased recombination in
CdSe QDSCs

1.
2.

K. Tvrdy, P. A. Frantsuzov, and P. V. Kamat, Proc. Natl. Acad. Sci. U. S. A., 2011, 108, 29–34.
V. Chakrapani, D. R. Baker, and P. V. Kamat, J. Am. Chem. Soc., 2011, 133, 9607–9615.

3
Transient Absorption Spectroscopy
•

Trapped holes (sulfide radical
species) in Sb2S3 show 560 nm
induced abs.

•

®

Follow with/without CuSCN
e

S-·
h

CuSCN

Sb2S3

TiO2

4
TiO2/Sb2S3 Fitting

®

TiO2 Sb2S3

5
TiO2/Sb2S3/CuSCN Fitting and kht

®

CuSCN

TiO2 Sb2S3

•

Fit TiO2/Sb2S3/CuSCN films to
biexponential decay (t > 6ps)

•

Compare average lifetimes
with/without CuSCN to calculate kht

•

Decrease in kht attributed to
diffusion of holes through Sb2S3 to
Sb2S3-CuSCN interface
6
Diffusion-Transfer Model

•

®

Model Assumptions
• Random walk
•

No transfer to TiO2

•

Pseudo first order transfer
to CuSCN

•

Diffusion-transfer
independent of
recombination
7
Model Results
•

®

Model solution provides a calculated transient absorption
response

Calculated parameters
• D = 6.8 4.7 10-2 cm2 s-1
• ki = 2.8 0.2 103 cm s-1
• µ = 2.6 1.9 cm2 V-1 s-1
• LD = 180 60 nm

Hole Transfer Biot Number, λ
• λ << 1; interfacial transfer limited
• λ >> 1; diffusion limited
• 20 nm Sb2S3  λ = 0.10 0.01
• 130 nm Sb2S3  λ = 0.64 0.05

8
Diffusion or Diffusion-Transfer?

®

•

Ascribe all limitations to diffusion (i.e. infinitely fast interfacial
transfer)

•

Diffusion only model doesn’t capture dynamics at extreme Sb2S3
film thicknesses

•

Increase in DA with Sb2S3 thickness confirms D & ki

•

Estimation of productive absorber thickness (~50 nm)

9
Applicability to Photovoltaics
•

Investigate planar
TiO2/Sb2S3/CuSCN
photovoltaics

•

Highest EQE seen in 45nm
Sb2S3 film – matches
productive absorber
thickness estimate

•

®

Internal Quantum Efficiency (IQE)
follows Hole Transfer Efficiency (HTE)

10
Conclusions

®

•

Hole transfer rate decreases nearly an order of magnitude from 20
to 130 nm Sb2S3 films

•

Describe all hole dynamics with diffusion coefficient (D) and
interfacial hole transfer coefficient (ki)

•

Observe contribution of D and ki with hole transfer Biot number, λ

•

Hole transfer from Sb2S3 to CuSCN is limited by transfer across
the Sb2S3-CuSCN interface, not hole mobility

•

Measure hole mobility (μ = 2.6 +/- 1.9 cm2 V-1 s-1) in conditions
resembling Sb2S3 photovoltaics

•

Estimate productive absorber thickness at 50 nm by combining
interfacial transfer, diffusion, and recombination into the apparent
diffusion length
11
Thank You

®

Rate Limiting Interfacial Hole Transfer in Sb2S3
Solid-State Solar Cells.
Jeffrey A. Christians1, David T. Leighton, and Prashant V. Kamat*1,2
Department of Chemical and Biomolecular Engineering, University of Notre Dame, Notre Dame, Indiana 46556
Chemical and Biomolecular Engineering
2Department of Chemistry and Biochemistry
1Radiation Laboratory, Department of

2014, 7, 1148-1158. DOI: 10.1039/C3EE43844A

This research was supported
by the U.S. Department of
Energy
Visit KamatLab.com for more research from our group or find us on
Facebook at facebook.com/kamatlab!

12

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Rate limiting interfacial hole transfer in Sb2S3 solid state solar cells

  • 1. Rate Limiting Interfacial Hole Transfer in Sb2S3 Solid-State Solar Cells. Jeffrey A. Christians1, David T. Leighton, and Prashant V. Kamat*1,2 Department of Chemical and Biomolecular Engineering, University of Notre Dame, Notre Dame, Indiana 46556 Chemical and Biomolecular Engineering 2Department of Chemistry and Biochemistry 1Radiation Laboratory, Department of 2014, 7, 1148-1158. DOI: 10.1039/C3EE43844A ®
  • 2. Sb2S3 Photovoltaics • 1.7 eV band gap • Solution processing • ® Promising efficiency JSC VOC FF η 12.4 mA cm-2 455 mV 0.59 3.3 % J. A. Christians and P. V Kamat, ACS Nano, 2013, 7, 7967–7974. 2
  • 3. Motivation • Charge separation by electron and hole transfer • ® Slow extraction of holes leads to increased recombination in CdSe QDSCs 1. 2. K. Tvrdy, P. A. Frantsuzov, and P. V. Kamat, Proc. Natl. Acad. Sci. U. S. A., 2011, 108, 29–34. V. Chakrapani, D. R. Baker, and P. V. Kamat, J. Am. Chem. Soc., 2011, 133, 9607–9615. 3
  • 4. Transient Absorption Spectroscopy • Trapped holes (sulfide radical species) in Sb2S3 show 560 nm induced abs. • ® Follow with/without CuSCN e S-· h CuSCN Sb2S3 TiO2 4
  • 6. TiO2/Sb2S3/CuSCN Fitting and kht ® CuSCN TiO2 Sb2S3 • Fit TiO2/Sb2S3/CuSCN films to biexponential decay (t > 6ps) • Compare average lifetimes with/without CuSCN to calculate kht • Decrease in kht attributed to diffusion of holes through Sb2S3 to Sb2S3-CuSCN interface 6
  • 7. Diffusion-Transfer Model • ® Model Assumptions • Random walk • No transfer to TiO2 • Pseudo first order transfer to CuSCN • Diffusion-transfer independent of recombination 7
  • 8. Model Results • ® Model solution provides a calculated transient absorption response Calculated parameters • D = 6.8 4.7 10-2 cm2 s-1 • ki = 2.8 0.2 103 cm s-1 • µ = 2.6 1.9 cm2 V-1 s-1 • LD = 180 60 nm Hole Transfer Biot Number, λ • λ << 1; interfacial transfer limited • λ >> 1; diffusion limited • 20 nm Sb2S3  λ = 0.10 0.01 • 130 nm Sb2S3  λ = 0.64 0.05 8
  • 9. Diffusion or Diffusion-Transfer? ® • Ascribe all limitations to diffusion (i.e. infinitely fast interfacial transfer) • Diffusion only model doesn’t capture dynamics at extreme Sb2S3 film thicknesses • Increase in DA with Sb2S3 thickness confirms D & ki • Estimation of productive absorber thickness (~50 nm) 9
  • 10. Applicability to Photovoltaics • Investigate planar TiO2/Sb2S3/CuSCN photovoltaics • Highest EQE seen in 45nm Sb2S3 film – matches productive absorber thickness estimate • ® Internal Quantum Efficiency (IQE) follows Hole Transfer Efficiency (HTE) 10
  • 11. Conclusions ® • Hole transfer rate decreases nearly an order of magnitude from 20 to 130 nm Sb2S3 films • Describe all hole dynamics with diffusion coefficient (D) and interfacial hole transfer coefficient (ki) • Observe contribution of D and ki with hole transfer Biot number, λ • Hole transfer from Sb2S3 to CuSCN is limited by transfer across the Sb2S3-CuSCN interface, not hole mobility • Measure hole mobility (μ = 2.6 +/- 1.9 cm2 V-1 s-1) in conditions resembling Sb2S3 photovoltaics • Estimate productive absorber thickness at 50 nm by combining interfacial transfer, diffusion, and recombination into the apparent diffusion length 11
  • 12. Thank You ® Rate Limiting Interfacial Hole Transfer in Sb2S3 Solid-State Solar Cells. Jeffrey A. Christians1, David T. Leighton, and Prashant V. Kamat*1,2 Department of Chemical and Biomolecular Engineering, University of Notre Dame, Notre Dame, Indiana 46556 Chemical and Biomolecular Engineering 2Department of Chemistry and Biochemistry 1Radiation Laboratory, Department of 2014, 7, 1148-1158. DOI: 10.1039/C3EE43844A This research was supported by the U.S. Department of Energy Visit KamatLab.com for more research from our group or find us on Facebook at facebook.com/kamatlab! 12