some factors influencing charge generation and...
TRANSCRIPT
Some factors influencing charge generation
and recombination in organic solar cells
James Durrant Centre for Plastic Electronics, Imperial College London
www.imperial.ac.uk/people/j.durrant, [email protected]
Imperial
• Safa Shoaee, Fiona Jamieson, Tracey Clarke,
Yvonne Soon, Stoichko Dimitrov, Dan Credgington,
George Dibbs, Chris Shuttle, Andrea Maurano, Rick
Hamilton, Florent Deladelle, Pabitra Tulhadar
• Jenny Nelson, Donal Bradley, Thomas Kirchatz,
Thomas Anthopoulos et al., Dept. of Physics,
• Natalie Stingelin, et al. Dept. of Materials
• Iain McCulloch, Martin Heeney, Saif Haque, John de
Mello, Brian O’Regan et al. Dept of Chemistry,
Plus
• Sam Jenekhe et al., (U. Washington), Quyen
Ngyuen et al. (UCSB), Seth Marder et al. (Georgia
Tech) Christoph Brabec et al. (Konarka), Dairn Laird
et al. (Plextronics),
Acknowledgements
Topics to be addressed
Key themes:
• Energetics
• Quantifying the impact of Film Microstructure
How do these impact upon:
• Exciton diffusion to the donor / acceptor interface
• Charge dissociation and the role of charge transfer states
• Non-geminate recombination
• Electric field dependence of charge separation
• Role of material crystallinity in modulating energetics
JSC
FF &
VOC
Charge photogeneration and recombination
- +
+ +
- -
Charge separation
Role of geminate recombination
Short circuit current
Charge collection
Role of non-geminate recombination
Device FF and voltage
Materials design: Energy Level Based Device Models
2.00
3.00
4.00
5.00
6.00
7.00
8.00
2.00
1.00
9.00
10.00
11.00
2.8 2.4 2.0 1.6 1.2-3.0
-3.2
-3.4
-3.6
-3.8
-4.0
T
Band Gap [ eV ]
LU
MO
Level D
onor
[ eV
]
S
Donor Acceptor
An
od
e
Cath
od
e
~VOC
DELUMO
Photocurrent:
IQE assumed 100% if DELUMO > 0.3eV
Strategy: reduce optical band gap to
increase overlap with solar spectrum
Voltage:
VOC~ IPdon- EAacc - 0.3
Strategy: increase IPdon or lower EAacc
BUT:
In practice most (but not all) new materials
significantly underperform relative to this
simple energetic model
Why? Scharber, Brabec and many others....
Polymer energy level design
Structure : Device Function Relationships
-0.5 0.0 0.5 1.0-8
-6
-4
-2
0
2
4
6
J (
mA
/cm
2)
Voltage (V)
P3HT PDI
O
O
High sensitivity transient
optical and optoelectronic
studies 2
4
6
810
-5
2
4
6
810
-4
2
D
D (
FIL
M)
10-7
10-6
10-5
10-4
Time [s]
810
-5
2
4
6
810
-4
2
4
6
810
-3
D
D (D
EV
ICE
)
60J cm-2
36 24 6 4
150nm
Film Microstructure
150nm
HRTEM micrograph
of P3HT/PCBM
• BUT:generally only see well defined polymer domains for very crystalline
polymers such P3HT
• Even for P3HT, probably significant fraction of more amorphous P3HT and
molecularly mixed P3HT/PCBM regions
• Most low bandgap polymers are more amorphous, with less defined phase
segregation
Polymer photoluminescence quenching
Strong emission quenching suggests for many polymers there is intimate mixing
of polymer and fullerene.
0 10 20 30 400.0
0.2
0.4
0.6
0.8
1.0 0
0.5
1
2
5
10
20
30
40
50
Time /ps
Flu
ore
scen
ce in
tensity
Concentration of acceptor
Residual emission of 1:1 blend films for range
of donor polymers blended with PCBM
Ultrafast kinetics of exciton quenching in
polyfluorene / PCBM blend films
More Quantitatively: Distance exciton moves given be L ~ Lex (1-PLQ)1/2
Lex typically 6-10 nm – so 98% PL quenching suggests exciton moves < 1 nm
Annalisa Bruno
Saif Haque et al
Jamieson et al Chem Sci 2011
A more realistic image of film microstructure?
•With the exception of very crystalline
polymers such as P3HT, most polymers
when blended with PCBM form rather
intimately mixed polymer / PCBM domains.
•No need for polymer exciton diffusion.
Questions:
• PCBM domains?
• Amorphous versus crystalline?
• Impact of intimate mixing on charge
separation / recombination
Jamieson et al Chem Sci 2011
Exciton Diffusion and Separation
Overall conclusion: For polymer : PCBM films, exciton diffusion to the interface is
often not limiting.as PCBM highly miscible with many donor polymers.
Similarly for most polymers, exciton separation at the interface is not limiting (as
evidenced by high polymer PL quenching).
Exceptions: Diffusion of PCBM excitons, polymer to PCBM energy transfer for blue
emissive donor polymers (Soon et al. Chem Sci 2011)
Charge dissociation and geminate recombination
e -
Polymer C60
Exciton separation
h + h +
LUMO
HOMO
e - e -
h + h +
Geminate recombination of bound
polaron pairs (charge transfer
states)
•Key consideration:
How do initially generated charge transfer states overcome their
coulomb attraction and dissociate into free charges?
r
eV
r 0
2
4
Coulomb Attraction:
r = 3-4 for organics
EBCT ~ 0.1-0.5 eV
e - e - Charge Dissociation
Charge Transfer States in OPV
a)
c)
b) CT state
electroluminescence Tvingstedt JACS 2009
CT state
absorption Goris JMS2005
a)
c)
b)
CT state
Photoluminesce Loi AFM 2007
Clarke and Durrant
Chem. Rev. 2010
CT state
Coulomb attraction Huang Nat Mat 2008
CT state
Donor Acceptor
HOMO
LUMO
HOMO
LUMO
+
h
+
COLL
ABS
DISS(EX)
DISS(CT)
Spectroscopic probes of charge photogeneration
DGCS
600 650 700 750 800 850
QPL
= 90%
PL
In
ten
sity
(nm)
P3HT
P3HT:PDID
PL studies of exciton quenching
High sensitivity transient
absorption studies of
dissociated polaron yields
measured after pulsed
laser excitation
2
4
6
810
-5
2
4
6
810
-4
2
D
D (
FIL
M)
10-7
10-6
10-5
10-4
Time [s]
810
-5
2
4
6
810
-4
2
4
6
810
-3
D
D (D
EV
ICE
)
60J cm-2
36 24 6 4
Dissociated polaron yield as determinant of device
photocurrent
Correlation indicates
optical measurement of
charge separation yield in
blend films with PCBM is
remarkably good
predictor of photocurrent
density in devices
Clarke et al. Adv Mat 2010
Low mobility
polymers
h < 10-4
But only for ‘crystalline’
polymers
0.0 0.2 0.4 0.6 0.8 1.0
1E-6
1E-5
1E-4
1E-3
polymer:PCBM (19:1)
polymer:PCBM (1:1)
polymer:PDI2 (1:1)
P3HT:PDIx (1:1)
CT polyemrs:PCBM (1:1)
UoW polymer:PCBM
DO
D
-DGCS
rel (eV)
Energetics of charge photogeneration
• Observe a strong correlation between yield of dissociated charges and DGCS for several materials series: DGCS is a key determinant of ηdiss(CT)
• Differences between series: other factors influencing charge generation
• Not all series show energetic correlation – due to other factors
CT state
Donor Acceptor
HOMO
LUMO
HOMO
LUMO
+
h
+
COLL
ABS
DISS(EX)
DISS(CT)
DGCS Energy loss driving charge separation (eV)
Yie
ld o
f dis
socia
ted c
harg
es (
a.u
.)
Ohkita et al. JACS 2008, Shoaee et al. JACS 2010
DGCS
Kinetic Model for charge photogeneration
S0
S1
T1
CT*
1CT 3CT
CS*
CS
+
-
Fre
e E
nerg
y
h
kCT
ktriplet
kGR
kCS*
kCS
kBR
kISCDGCS
DGCT
ktherm kthermCSCT
Clarke and Durrant Chem. Rev. 2010
Bredas et al. Acc. Chem Res. 2009
Follows on from Morteani et al PRL 2004
Key competition:
Thermalisation versus Dissociation of the
‘hot CT’ states
kBT
rc a
e-h
distance
V
Recombination
Dissociation
e-
h
Onsager
Theory
The long jump analogy
Energy
Spatial separation of P+ & PCBM-
Nearest neighbour
separation (1-3 nm?)
Coulomb attraction of
P+ and PCBM-
100-400 meV
1P3HT*
e-
1Pol*
e-
e-
e-
Other factors: film microstructure:
Geminate recombination in a finely mixed blend
• Without phase segregation to enable spatial separation of charges –
observe fast (~100 ns) geminate recombination
0.01 0.1 1 10 100
0.01
0.1
1
10
0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7
0.01
0.1
1
P3HT:1
Time (s)
mD
OD
Time (s)
mD
OD
NNOHC
NO2
NNOHC
NO2
NNOHC
NO2
Shoaee et al. En. & Environ. 2010.
Geminate recombination Non-geminate
recombination
JSC~ 10 mAcm-2
JSC< 0.1 mAcm-2
What about the role of mixed polymer / fullerene
domains in mediating recombination?
P3HT
Some lessons for materials design for charge
separation from polymer excitons
Charge dissociation yield relatively independent of:
• Polymer hole mobility,
• polymer crystallinity,
• alkyl side chain length,
• Energetics relative to PCBM singlet (except for blue
luminescent polymers)
• Energetics relative to PCBM/Polymer triplets?
Charge dissociation yield relatively dependent upon:
• DGCS,
• acceptor electron mobility (?),
• charge transfer character/ polarizability of polymer,
• nanomorphology
Non-geminate recombination:
Impact on cell voltage and Fill Factor
V
e -
Polymer C60
e -
h+
EFpol
EFPCBM
• Device voltage corresponds to splitting of electron and hole Fermi levels
• This corresponds to an increase in electron and hole densities and can
result in electron / hole recombination.
• Rate constant for this non-geminate recombination should depend upon
microstructure and mobility
LUMOs
HOMOs
EFpol
EFPCBM
h+
e -
Light
PEDOT
:PSS
+ -
PCBMPolymer
Exciton
generation
and diffusion
Charge
separation+
+
+-
-
-
Non-geminate recombination
Energy level model for VOC
Donor Acceptor
Anode
Cath
ode
~VOC
Scharber et al. Adv. Mat. 2006
Also analyses based on CT state energies:
Vandewal et al. Nat Mat 2009
Veldman et al. Adv Func Mat 2009
VOC~ IPdon- EAacc - 0.3
But these energy level based models donot take account microstructure......
Only agrees with experiment to +/- 100 mV
• Simplest model: VOC when JGen = Jrecom
• JGen from short circuit current (assumes generation independent of cell voltage)
• Jrecom = krecom n p = krecom n2
• Need to measure n(V, Int) and krecom
• For charge as function of Voltage – need in situ measurement including intraband trap states
Polymer C60
h+
e - e -
ITO/
PEDOT Al
Efh
Efe
Vint
Non-geminate recombination analysis of V)C
Generation flux JGen
hu
Non-gem
Recombination
flux JRecom
Recombination to
traps:
Shockley-Reed-Hall
recombination
Recombination
probably via CT
states
Measuring charge densities, lifetimes & krecom
1.6x1017
1.4
1.2
1.0
0.8
0.6
0.4
0.2
n [
cm
-3]
0.600.550.500.450.40Voc [V]
Differential Charging
Charge extraction
10
2
3
4
56
100
2
3
Dn [
s]
2 3 4 5 6 7 8 9
1017
n [cm-3
]
D nn
Charge density in
photoactive layer
increases
exponential with
voltage
Transient photovoltage measurements
of carrier lifetime
Shuttle et al. APL 2008a, 2008b, PRB 2008, Maurano et al. J. Phys Chem C 2011
2
4
6
810
-13
2
4
6
810
-12
2
k /
cm
3s
-1
2 3 4 5 6
1017
2 3
n /cm-3
TAS PV
Small perturbation analyses of
P3HT/PCBM cells held at open circuit
as function of bias light intensity.
2
0
)( nnk
nkdt
dn
recom
recom
Impact of film microstructure on kRecom
10-14
10-13
10-12
10-11
10-10
Bim
ole
cu
lar
Reco
mbin
atio
n,
k /
cm
-3 s
-1
4 5 6 7 8 9
1016
2 3 4 5 6 7 8 9
1017
2
Charge Carrier Density, n / cm-3
Non-Annealed
Non-Annealed Langevin Rate Annealed
Annealed Langevin Rate
• Annealing P3HT/PCBM films drives formation of relatively pure polymer
and fullerene domains
• This reduces kRecom (even though mobility increases)
Non-Annealed
Annealed
(a)
(b)
Numerical Model Calcs Measured krecom
Hamilton et al. JPC Lett. 2010,
Non-annealed
Annealed
104
105
106
107
108
Ca
lcu
late
d B
imo
lecu
lar
Re
co
mb
ina
tio
n R
ate
, k (
arb
un
its)
1014
2 3 4 5 6 7 8 9
1015
2 3 4 5 6 7 8 9
1016
Charge Carrier Density, n / cm-3
12 nm 40 nm
24 nm
48 nm
P3HT/PCBM
Charge carrier lifetimes for different blend films
Maurano et al, Adv. Mater. (2010)
Maurano et al. J.Phys Chem C (2011)
Credgington et al, Adv Func Mat (2011)
P3HT/PCBM has
the slowest
recombination –
indicative of
microstructure
enhancing spatial
separation of
charges
Calculating VOC
At VOC: recombination flux =
genertion flux
JGEN = JSC = JRecom = -dekrecomn2
Maurano et al. Adv Mat 2010
Measure n(Int) and krecom(n)
Allows us to calculate Voc correctly
to +/- 5 mV
Works for a very broad range of
cells
Comparison against energy dependence alone
BI
rec
SCOC
J
JAEAIPV ln
Recombination model for VOC
Energy Level Model: (Scharber et al.)
1.2
1.0
0.8
0.6
0.4
0.2
0.0
Ca
lcu
late
d V
OC/V
1.21.00.80.60.40.20.0
Measured VOC/V
PMCDT
PEOT
PEOT-DCBT
P3BT
P3HT
PCPT
PCPDT
MDMO-PPV
PDPDT
P3H4NT
PDOFDTBT
PCPDTBT
Squares:
Scharber et al. 3.0 EAIPVOC
Effective electrical
bandgap from n(Voc) Charge generation
from Jsc
Recombination flux
from n and krecom
Quantifies impact of film microstructure
on Voc. Ten fold increase in krecom
decreases VOC by ~ 80 mV
4.02.0 EAIPVOC
PCPDTBT: large krecom
Less defined phase
segregation
P3HT: small krecom
Strong phase
segregation
Ballantyne et al, Macromolecules (2010)
Maurano et al. Adv Mat (2010)
Se
R
n RMS:20.62nm S
R
n
Impact of phase purity: P3HT versus P3HS
-1
0
1
2
3
4
5
6
-50 0 50 100 150 200 250 300
t (s)
V (
mV
)
P3HT:PCBM
P3HS:PCBM
n ~ 3x1016
cm-3
•VOC lower for P3HS even though IP ~
100 mV larger.
•Structural analyses give larger domain
sizes for P3HS/PCBM relative to
P3HT/PCBM
• Recombination rate coefficient 30
times faster for P3HS/PCBM
• Origin appears to be lower phase
purity – consistent with PL and Raman
analyses
• Results in ~140 mV loss of voltage
relative to P3HT.. This cancels out
voltage gain from higher IP..
Influence of processing conditions
P3HT / PCBM solar cells
Voc for P3HT / PCBM cells varied
from 0.4 – 0.6 V depending upon
film/device processing.
Transient analyses allow us to
understand how this results from
variations in:
• Jgen (mainly due to film
thickness)
• IP – EA (P3HT’s IP decreases
with increased crystallinity)
• krecom , assigned primarily to
changes in microstructure
Credgington et al. Adv Func Mat (2011)
10
5
0
-5
-10
J [
mA
cm
-2]
-0.8 -0.6 -0.4 -0.2 0.0 0.2 0.4 0.6 0.8
Applied Voltage [V]
Jlosses
JGEN
JLight
Jdark
RECOMDark JJ RECOMGENLight JJJ
ndekJ recomRECOM
Model assumes:
• JGEN indep of voltage
• n(x)=p(x)=n
• Dark and light charge
behave the same
Requires determination of:
• JGEN (equated to JSC)
• krecom and
• n(V, Int)
Non-geminate Recombination Model of J/V curve
Model can be generalized to JLOSS including ‘shunt’ or
leakage losses resulting from non-selective contacts
JRECOM
is ‘order’ of the recombination
For ideal bimolecular: = 2
nJJJ recomscLight
2
recom )()( nndeknJ eff
Simulation includes Rseries:
Vapp = Vcell - IRseries
• No fitting parameters!
• Suggests device FF based on competition between transport and nongeminate
recombination.
• As approach VOC, charge density increases, increasing nongeminate
recombination losses
-12
-10
-8
-6
-4
-2
0
2
J [
mA
cm
-2]
0.60.50.40.30.20.10.0Vapp [V]
0.5 Suns 0.75 Suns 1 Suns 1.4 Suns
◊: simulations
Simulating J-V curve for P3HT / PCBM solar cells
Shuttle et al. PNAS 2010
Analysis of Bilayer organic solar cells
Ca:Al
Pentacene
C60
ITO/Glass
BCP
PEDOT:PSS
Calculated (points) vs expt (lines) J/V curve
'ln
1 0
C
JV SC
OC
Rshunt = 30kΩ
VOC vs Light Intensity
Expt ideality = 1.69
Calc ideality = 1.62
AR
V
A
eCJ
shunt
Cq
LOSS
0
' 1'
•Simple model based on measured decrease in charge carrier lifetime with cell
voltage/charge carrier density (100 s – 100 ns) is in good agreement with experimental
J / V data
•Suggests charge photogeneration not strongly dependent upon electric field
•Note differs from most BHJ cells in that most charge on electrodes not in active layer.
Credgington J. Phys Chem. Lett 2011
Role of PCBM crystallisation in stablising charge
separation?
PL data indicate often no significant pure
polymer domain
But if PCBM present throughout film, why isn’t
this causing fast electron / hole recombinaton?
Why is PCBM so hard to replace /
improve upon?
Jamieson et al Chem Sci 2011
Study of PBTTT: PCBM blends
PCBM melting peak
McGehee & co-workers
Stanford
Threshold
Formaton of ‘crystalline’ PCBM domains at PCBM
compositions >50%
Effect of fullerene concentration on PL quenching
Appearance of PCBM emission for
compositions above 1:1.
Includes 525 nm emission band
specific to aggregated PCBM (Cook et al Chem Phys Lett 2008)
Evidence for formation of relative
pure, ‘crystalline’ PCBM domains.
PBTTT:PCBM blends
Effect of fullerene concentration on function
Threshold of PCBM
composition for long lived
charge separation
matches appearance of
‘crystalline’ PCBM
domains.
450 500 550 600 650 700 750 8000.0
0.2
0.4
0.6
0.8
1.0
1.2
1.4
no
rmalis
ed
PL
nm)
PCBM
PCBM:PS (1:1)
PCBM aggregation and redunction potential
-1.2 -1.0 -0.8 -0.6 -0.4 -0.2 0.0-1.0
-0.8
-0.6
-0.4
-0.2
0.0
no
rma
lise
d c
urr
en
t (A
)
Voltage (V)
ICBA
ICBA:PS
450 500 550 600 650 700 750 8000.0
0.2
0.4
0.6
0.8
1.0
no
rma
lise
d P
L
(nm)
ICBA
ICBA:PS (1:1)
500 nm PL of aggregated C60
Cook et al. CPL 2008
~ 80 mV
shift of
PCBM EA
with
aggregation -1.50 -1.25 -1.00 -0.75 -0.50 -0.25 0.00
-1.0
-0.8
-0.6
-0.4
-0.2
0.0
No
rma
lise
d C
urr
en
t (A
)
Voltage (V)
PCBM
PCBM + PS (1:1)
PCBM + PS (1:4)
Role of PCBM crystallisation in providing energy
offset to stabilise charge separation
•PCBM crystallites exhibit higher EA than mixed regions
•Serves an energy offset to stabilise charge separation
•Maybe why other fullerenes (e.g. ICBA) do not work with amorphous polymers
•See similar shifts in HOMO with crystalline polymers (P3HT) – crystalline polymer
domains also function as hole sinks to stabilise spatial separation of charge
Jamieson et al Chem Sci 2011, Clarke et al. Adv Func Mat 2010
• Crystalline polymers such as P3HT work with ICBA.
• Formation of a relatively pure, molecularly ordered phase of the polymer
or the fullerene component is important for energetically stabilising spatial
charge separation
•Ability of PCBM to both mix with polymer and form crystalline domains
may be key reason for its success
Intimately mixed
Polymer:
fullerene phase
+
- -
~100 ns
-
-
Crystalline
fullerene
phase
-
<10 ns
~s
Intimately mixed
Polymer:
fullerene phase
+
- -
~100 ns
-
Crystalline
polymer
phase
-
<10 ns
~s
+
Intimately mixed
Polymer:
fullerene phase
+
- -
~100 ns
- -
<10 ns
Crystalline Polymer Both amorphous Crystalline Fullerene
Lessons for Materials Design
Some factors influencing charge generation and
recombination: Exciton Dissociation
e -
Polymer C60
h u h u
Exciton separation
h + h +
LUMO
HOMO
e - e -
Polymer excitation:
•Little requirement for exciton diffusion.
•Relatively facile exciton separation
•Can compete with energy transfer to C60 for blue, luminescent polymers
Some factors influencing charge generation and
recombination: Exciton Dissociation
Polymer C60
h u h u
Exciton separation
h + h +
LUMO
HOMO
e - e -
Fullerene excitation:
Significant requirement for exciton diffusion.
- and therefore PCBM domain size
h + h +
Excit
on
Dif
fusio
n
Some factors influencing charge generation and
recombination: Geminate recombination of CT states
e -
Polymer C60
h + h +
LUMO
HOMO h + h +
Geminate recombination of bound
polaron pairs (charge transfer
states)
e - e - Charge Dissociation
Geminate recombination of bound CT states:
•Dependent upon DGCS, interface structure, electron mobility?
• Timescale < 10 ns
Some factors influencing charge generation and
recombination: Geminate recombination (2)
e -
Polymer C60
h + h +
LUMO
HOMO h + h +
Geminate recombination of loosely
bound polarons (not charge
transfer states?)
e - e - Charge Dissociation
Geminate recombination of loosely bound polarons???:
• Dependent upon film microstructure and crystallinity, device electric fields
• Timescale ~100 ns
Some factors influencing charge generation and
recombination: Non-geminate recombination
Polymer C60
LUMO
HOMO h + h +
Geminate recombination of loosely
bound polaron pairs (not charge
transfer states?)
e - e -
Charge Collection
Non-geminate recombination of dissociated polarons:
• Dependent upon charge density, film microstructure, mobility
• Timescale ~100 ns – 100 s
Conclusions
• Simple energy level models are insufficient to give reliable materials
design principles
• For most blend films, simple two pure phase structural models are
inappropriate.
• Starting to unravel some of the factors influencing how different
materials perform in OPV devices
• Charge transfer state recombination – energetics, charge transfer character,
electron/hole mobility.....
• Interfacial energy transfer as well as electron transfer
• Material crystallisation to drive phase segregation and modulate energetics
between phases
• Role of film microstructure in influencing non-geminate recombination, and
thus FF and voltage
• Role, for some materials, of device electric fields in driving charge separation
0.5 0.6 0.7 0.8 0.9 1.0
1E-6
1E-5
1E-4
DO
D (
1
s)
-DGCS
rel / eV
annealed
unannealed
Transient absorption data Increase in EQE correlates with
increase in polaron absorption
Clarke et al., Adv Func Mat., 2009
annealed
unannealed
Annealing of P3HT / PCBM blends
Increase in polaron yield consistent with
decrease in P3HT IP.
Drives P3HT polaron localisation onto
crystalline P3HTdomains
100 mV shift
Electron versus energy transfer across the polymer /
fullerene interface
Fast energy transfer competes efficiently with
charge separation.
*PCBM1 too low in energy to drive charge
separation (small HOMO/HOMO offset)
May explain why good OLED materials often
make poor OPV materials
Soon et al, Chem Sci 2011
1PCBM*(1.8eV)
3PCBM*(1.5eV)
CSS (2.2eV)3IF8BT*
1IF8BT*(2.5eV)
ISC
Energy
Transfer
1CT 3CT
1P*
3P*
P
1BRP 3BRP
CSS
hhνν
CSS (2.2eV)
IF8BT
1PCBM*(1.8eV)
3PCBM*(1.5eV)
CSS (1.9eV)3IF8TBTT*
1IF8TBTT*(2.0eV)
1CT 3CT
1P*
3P*
P
1BRP 3BRP
CSS
h
hνν
CSS (1.9eV)
Electron
Transfer
IF8TBTT
Dissociated polaron yield as determinant of device
photocurrent
Correlation indicates
optical measurement of
charge separation yield in
blend films with PCBM is
remarkably good
predictor of photocurrent
density in devices
Clarke et al. Adv Mat 2010
Low mobility
polymers
h < 10-4
But only for ‘crystalline’
polymers
6
7
8
910
-13
2
3
4
k [c
m3s-1
]
2 4 6 8
1015
2 4 6 8
1016
2 4
n [cm-3
]
6
7
8
910
-4
2
3
4
[cm
2V-1s
-1]
k(n(V=Voc))
(n(V=0))
Shuttle et al. AFM 2010
Why is krecom varying with charge density?
Optoelectronic analysis of devices Transient optical analysis of films
Eng et al. J.Phys Chem Lett 2010
n
• krecom is function of both film microstructure and carrier mobility
• krecom increase with n correlates with increase of mobility with n
• Effect originates from trap filling – saturates when all traps filled.
Data for
P3HT/PCBM
Charge densities across the J/V curve
• Charge extraction used to
measure charge at any
operating condition relative
to dark, short circuit.
• Charge >> electrode
capacitance charge – in
photoactive layer.
• Charge function of both
voltage and light intensity
• Charge density increases
with cell voltage as less
charge swept out by device
electric fields – large
increase in non-geminate
recombination losses (~ n3)
10-10
2
3
4
5
6
78
10-9
2
3
4
5
Ch
arg
e/C
0.80.60.40.2
Voltage/V
@VOC
Dark
50%-Sun
100%-Sun
Electrode charge
Data for P3HS/PCBM solar cells
Photon energy dependency?
S 0
S 1
T 1
CT*
1 CT D 3 CT
CS*
CS
+
-
Energ
y
h n
k CT
k triplet
k GR
k CS*
k CS
k BR
k ISC D G CS
D G CT k therm k therm
CS CT therm
k exc
See Baldo et al.
JACS 2010,
Also Silva, Friend ...
But difficult to have conclusive results:
• For hot/cold CT excitation – ‘cold’ CT very deep
in bandgap with very weak optical density
• For hot/cold excitons – only see effect if no
exciton diffusion and if cold excitons have low yield
of charge separation
Screening materials for influence of hot excitons
Ground state absorption spectra and transient absorption excitation spectra for
dissociated polarons (normalised per absorbed photon) for 1:1 blends with PCBM.
No effect as in both cases ‘cold’ excitons can drive charge separation efficiently (and
exciton diffusion for P3HT).
S
S S
Excitation wavelength dependence of charge
generation in BTT-DPP:PCBM films andsolar cells
BTT-DPP:PC60BM = 1:1 IQE (black line) and absorption corrected
DOD excitation spectrum (red squares)
Polymer Fullerene
HOMO
LUMO
Both photocurrent IQE and polaron quantum yield
drop off when exciting red side of absorption band
Charge photogeneration in polymer / fullerene solar
cells – hot excitons
Consistent with excess thermal energy aiding charge separation
Hot exciton driven aided charge separation.
Hot exciton driven charge separation
Almost doubling of initial polaron quantum
yield and photocurrent if excitation
wavelength shifted from 850 to 750 nm S 0
S 1
T 1
CT*
1 CT D 3 CT
CS*
+
-
Energ
y
h n
k CT
k triplet
k GR
k CS*
k CS
k BR
k ISC
k therm CT
therm k
exc