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M. Segal and M.A. Baldo
Sponsorship: NSF, MRSEC and 3M
Collaborators: Joseph Shinar, Iowa State University; Zoltan Soos, Princeton University; Troy Van Voorhis, MIT Chemistry Department
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Introduction
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Organic light emitting devices (OLEDs) are perhaps the most
important application of organic semiconductors. OLEDs can be
understood as machines that convert injected charges into
excitons. An exciton is a molecular excited state that
mediates the emission of light. Each exciton may take may one
four possible spin states: three “triplet” states
of total spin 1, or one “singlet” state of total
spin 0. The ground state is also a singlet in the vast
majority of molecules. Thus, the efficiency of radiation from
an exciton is typically spin-dependent. The decay of the
singlet exciton is allowed, yielding radiation known as
fluorescence. The decay of the triplet exciton is usually
disallowed. When it occurs at all, radiation from triplet
states is slow and known as phosphorescence.
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‘Extrafluorescence’ is perhaps the most important
result. We have demonstrated the ability to manipulate the
fraction of excitons which form as singlets in fluorescent
materials by altering the OLED structure. We have built a
fluorescent OLED showing an approximately three-fold increase
in singlet fraction and fluorescent efficiency.
Extrafluorescence may help address the challenge of producing
efficient, stable and saturated blue light with organic
semiconductors.
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We are concerned with the fraction of singlet excitons,
χ, which determines the fundamental efficiency limit
of fluorescent OLEDs. Our work has had four major outcomes:
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Relevant Publications
1. M. Segal, M. Singh, K. Rivoire, S. Difley, T. Van Voorhis,
M.A. Baldo "Extrafluorescent Electroluminescence in
Organic Light Emitting Devices," Nature Materials
6, 374-378 (2007).
2. M.A. Baldo, M. Segal, J. Shinar, Z.G. Soos,
“Reply to ‘Comment on ‘Frequency response
and origin of the spin-1/2 photoluminescence-detected
magnetic resonance in a pi-conjugated polymer' ’
", Phys. Rev. B 75, 246202 (2007).
3. M.K. Lee, M. Segal, Z. G. Soos, J. Shinar and M.A. Baldo,
“Reply to ‘Comment on ‘Yield of Singlet
Excitons in Organic Light Emitting Devices’ ’
”, Physical Review Letters 96(8)
(2006).
4. M. Segal, M.A. Baldo, M.K. Lee, J. Shinar, and Z.G. Soos,
"Frequency response and origin of the spin-1/2
photoluminescence-detected magnetic resonance in a
pi-conjugated polymer," Phys. Rev. B 71, 245201
(2005).
5. M.K. Lee, M. Segal, Z.G. Soos, J. Shinar and M.A. Baldo,
"On the Yield of Singlet Excitons in Organic
Light-Emitting Devices: A Double Modulation
Photoluminescence-Detected Magnetic Resonance Study,"
Phys. Rev. Lett. 94, 137403 (2005).
6. M.A. Baldo and M. Segal. 'Phosphorescence as a
Probe of Exciton Formation and Energy Transfer in Organic
Light Emitting Diodes.' Physica Status Solidi A.
201. 1205-1214 (2004).
7. M Segal and M.A. Baldo, "Reverse bias measurements of
the photoluminescent efficiency of semiconducting organic
thin films," Organic Electronics 4, 191-197
(2003).
8. M. Segal, M.A. Baldo, R.J. Holmes, S.R. Forrest, and Z.G.
Soos, "Excitonic singlet-triplet ratios in molecular and
polymeric organic materials," Physical Review B
68 (7), 075211 (2003).
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Theory of exciton formation
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Excitons are generated electrically when opposite charges
combine on a single molecule to form an excited state. The
precursor state to the exciton is the charge transfer or
“CT” state, which consists of an electron and
hole on two adjacent molecules, as in Fig. 1.
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| Fig. 1 - The calculated charge density
difference between the singlet and triplet CT
states, and the ground state, in aδ -AlQ3 dimer. The right (left) hand
molecule is constrained to be negatively
(positively) charged, and gold (purple) surfaces
enclose volumes where the CT state has more (fewer)
electrons. The singlet CT state is calculated to be
lower in energy than the triplet CT state by 70
meV.[7] |
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Literature calculations of the fraction χ of excitons
that form as singlets have considered the formation rates of
singlet and triplet excitons from CT states, but not the
mixing rates of singlet and triplet CT states.[1-6] Fig. 2
explicitly considers these rates. The key observation behind
this model is that the mixing rate kM falls
as the charges approach each other. This is due to larger
exchange effects, which lead to an increasing energy barrier
to mixing. Mixing effectively turns off for charge pairs
separated by less than some number of molecules m.
Spin statistics are then determined by the rates
kSm and kTm, rather than
kS1 and kT1. Our data
indicates that 1 < m < 5.[7]
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Fig. 2 - A rate model for
the electrical formation of excitons. Positive
and negative charges are injected into an OLED
from distant contacts, and form either singlet
(CT1) or triplet (CT3)
states. The charges are initially separated by N
molecules and hop together, singlets with rate
kS and triplets with rate
kT. The charge pairs can also switch
spin with rate kM. Eventually, they
form singlet or triplet excitons, S or T. |
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References
1. M. Wohlgenannt, Kunj Tandon, S. Mazumdar et al.,
"Formation cross-sections of singlet and triplet
excitons in pi-conjugated polymers," Nature
409, 494-497 (2001).
2. Z. Shuai, D. Beljonne, R.J. Silbey et al., "Singlet
and Triplet Exciton Formation Rates in Conjugated Polymer
Light-Emitting Diodes," Phys. Rev. Lett.
84 (1), 131-134 (2000).
3. K. Tandon, S. Ramasesha, and S. Mazumdar, "Electron
correlation effects in electron-hole recombination in organic
light-emitting diodes," Phys. Rev. B
67, 045109 (2003).
4. S. Karabunarliev and E.R. Bittner, "Spin-dependent
electron-hole capture kinetics in luminescent conjugated
polymers," Phys. Rev. Lett. 90, 057402
(2003).
5. M. N. Kobrak and E. R. Bittner, "Quantum molecular
dynamics study of polaron recombination in conjugated
polymers," Phys. Rev. B 62 (17),
11473-11486 (2000).
6. T. M. Hong and H. F. Meng, "Spin-dependent
recombination and electroluminescence quantum yield in
conjugated polymers," Phys. Rev. B 6307
(7) (2001).
7. M. Segal, M. Singh, K. Rivoire, S. Difley, T. Van Voorhis,
M.A. Baldo "Extrafluorescent Electroluminescence in
Organic Light Emitting Devices," Nature Materials
6, 374-378 (2007).>
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Measuring The Singlet Fraction
Fig. 1 shows the method we have developed for measuring the
spin statistics in an organic luminescent material.[1] An
OLED is fabricated with the material of interest serving as
its luminescent layer, and two types of efficiencies are
measured. First, the OLED is operated normally, with injected
electrons and holes combining to form both singlets and
triplets in the ratio χ : (1-χ). Only the
singlets emit light. The ratio of the measured luminescence
to the driving current gives the electroluminescent (EL)
efficiency. Then, the OLED is operated in reverse bias while
exposed to an optical pump, which generates only singlet
excitons. The reverse bias electric field breaks some singlet
excitons into electrons and holes, producing photocurrent and
reducing the photoluminescence (PL) by an amount ΔPL. The
ratio of ΔPL to the photocurrent then gives the PL
efficiency. The singlet fraction χ is then simply the
ratio of EL to PL efficiency.
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| Fig. 1 - The experimental setup of the
spin statistics measurement. When the OLED is
operated in forward bias, EL is collected by the
detector. Spin statistics are determined by
comparing the EL to the PL efficiency as determined
by photoexciting the OLED under reverse bias. The
photocurrent is detected synchronously with the
optical chopping frequency, and the PL is locked to
the modulation frequency of the reverse bias
voltage. This scheme rejects leakage current and
optical pump fluctuation.
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This measurement technique has the advantage that it is a
relative measurement: because the singlet ratio is derived
from a ratio of efficiencies, not every photon must be
captured, as in many other measurements. In addition, the
shape of the ΔPL versus photocurrent characteristic reveals
possible degradation of the luminescent material.[2] A
degraded material may otherwise yield artificially high
singlet ratios.
Applying this technique to the archetypal small molecular
weight luminescent material tris(8-hydroxyquinoline) aluminum
(Alq3) yielded a singlet fraction of
(20±1)%, in agreement with previous studies.[3] The
archetypal luminescent polymer
poly[2-methoxy-5-(2-ethylhexyloxy)-1,4-phenylenevinylene]
(MEH-PPV) yielded a singlet fraction of (20±4)%, in
disagreement with other studies which have found it to be
well above 25%.[4,5]
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Fig. 2 - (a)
Synchronously-detected photocurrent and the
corresponding decrease in PL for the polymer
MEH-PPV as a function of reverse bias. (b)
The relationship between the decrease in PL
and photocurrent gives the synchronously-detected
out-coupled PL efficiency.
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References
1. M. Segal, M.A. Baldo, R.J. Holmes et al., "Excitonic
singlet-triplet ratios in molecular and polymeric organic
materials," Physical Review B 68 (7),
075211 (2003).
2. M Segal and M.A. Baldo, "Reverse bias measurements of
the photoluminescent efficiency of semiconducting organic
thin films," Organic Electronics 4,
191-197 (2003).
3. M.A. Baldo, D.F. O'Brien, M.E. Thompson et al.,
"Excitonic singlet-triplet ratio in a semiconducting
organic thin film," Phys. Rev. B 60,
14422-14428 (1999).
4. M. Wohlgenannt, Kunj Tandon, S. Mazumdar et al.,
"Formation cross-sections of singlet and triplet
excitons in pi-conjugated polymers," Nature
409, 494-497 (2001).
5. Y Cao, ID Parker, G Yu et al., "Improved quantum
efficiency for electroluminescence in semiconducting
polymers," Nature 397, 414-417 (1999).
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Magnetic Resonance and Spin-Dependent Exciton Formation
In ODMR measurements, an organic semiconductor is cooled to
low temperature and exposed to a continuous optical pump
which generates singlet and triplet excitons. Some charges
will also be formed by the dissociation of excitons. The
charges may be solitary, or they may exist in closely spaced,
oppositely charged pairs. A magnetic field is applied to
split degenerate energy levels of triplet CT states and
isolated spin-1/2 charges, and a microwave field tuned to
this energy splitting causes an equalization of populations.
It is experimentally observed that placing an organic
semiconductor under resonance conditions increases its PL. A
prominent physical model for this effect is based on
spin-dependent exciton formation, and predicts high singlet
ratios in polymers.[1] This model is known as the
spin-dependent recombination model (SDR).
The SDR model, however, assumes rapid mixing between singlet
and triplet CT states. This assumption conflicts with direct
meaurements of mixing rates [8] and the interpretation of our
measurements of the singlet fraction. We propose instead that
the resonant phenomenon results from reduced quenching under
resonance. It is well known that triplets and charges (more
precisely defined as polarons in these materials) can
‘quench’ singlets, preventing them from emitting
light, and the populations of these quenchers are indeed
observed to decrease under resonance. We further propose that
the reason for this decrease is an enhanced rate of
spin-dependent triplet-polaron collisions. In such a
collision, shown schematically in Fig. 1, a triplet collides
with a trapped polaron and is quenched. The excited polaron
is then more likely to recombine with an oppositely charged
polaron. This collision is allowed only 1/3 of the time out
of resonance, but is effectively always allowed in resonance.
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Fig. 1 – Models for
collision between a triplet exciton and (a)
unpaired and (b) paired polarons at low
temperature. In (a), a TE is annihilated by a
solitary polaron. The polaron is excited by the
collision but relaxes before it encounters an
oppositely charged polaron, and is therefore
unaffected by TE-polaron collisions or magnetic
resonance. In (b), a pair of oppositely charged
polarons is trapped in nearby energy wells. After
collision with a triplet exciton, the triplet
exciton is annihilated, and one of the polarons
is excited, increasing its probability of
crossing the energy barrier separating it from
its oppositely charged partner.
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To test the triplet-polaron-mediated quenching theory, we
have conducted a magnetic resonance experiment in which the
optical pump was modulated at a rate too high for triplets or
polarons to respond, but low enough for singlets to
respond.[2] The PL was then detected at the optical
modulation frequency, and was found to be large and
independent of modulation frequency. The setup and result
data are shown in Fig. 2. This data proves that magnetic
resonance is a quenching phenomenon and is consistent with
the triplet-polaron picture. We have also constructed a
quantitative triplet-polaron model and shown that it can
account for the frequency dependence of photoluminescence
under microwave modulation, light modulation, and
simultaneous microwave and light modulation.[3]
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Fig. 2 –
(a) The experimental setup for measuring the
frequency response of the
photoluminescence-detected magnetic resonance.
The single-modulation result is measured with a
single lock-in amplifier and microwave power
modulation only, using the dashed signal path.
The double-modulation result is measured with two
lock-in amplifiers and both laser power and
microwave power modulation, using the dotted
signal path. (b) Double modulation data
for the polymer MEH-PPV as a function of laser
modulation frequency with the microwave
modulation frequency held constant at 200 Hz. The
solid and dotted lines are the predictions of the
triplet-polaron quenching and spin dependent
recombination models respectively.
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This work has drawn two comments led by the Vardeny group at
Utah, the main proponents of the SDR model. The first comment
proposed that the data in Fig. 2(b) could be explained by the
existence of large quantities of polaron pairs ‘having
lifetime shorter than µs’. But photoinduced
absorption measurements do not reveal the presence of the
proposed fast polarons.[4] In the second comment, the
validity of the double modulation technique itself was
faulted. Single-modulated magnetic resonance measurements
were presented in the time domain, and again in the frequency
domain, as shown in Fig. 3.[5] The two sets of data should be
transforms of each other, yet the frequency domain data is
overdamped and the time domain data appears underdamped.
Despite this evident inconsistency, Vardeny, et al
report that they fit same SDR theory to both sets of data. It
is unclear how this was achieved.
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Fig. 3. The (a) frequency
domain and (b) time domain
photoluminescence-detected measurements by the
group of Prof. Vardeny.[5] The frequency
domain response is divided into magnitude (black
line), phase (green line); and, equivalently,
in-phase (blue line) and quadrature (red line).
The frequency domain response is overdamped,
while the time domain response is underdamped.
The origin of this contradiction is unclear.
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In fact, the transient technique introduced in the second
comment is redundant. Analysis of the frequency response data
demonstrates that the microwave power dependence and phase
response is consistent with a quenching rather than SDR
theory. Thus, we can conclude that these magnetic resonance
phenomena monitor singlet exciton quenching processes and
have no apparent relevance to exciton formation.
We further note that triplet-polaron quenching is but one
possible spin dependent quenching phenomena. It was proposed
in the absence of any other explanation given the apparent
failure of the spin-dependent polaron recombination model.
Triplet-polaron quenching is well established [6], and
undoubtedly occurs within the films to some extent, but it
may not be the only spin-dependent quenching process at work.
For example, radiationless charge recombination to the
singlet ground state is spin dependent[7], and will lower
polaron quenching of singlet excitons. This latter process
may be especially significant in photovoltaic cells.
More details of this discussion are contained in the full comments and replies, which can be found here:
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References
1. M. Wohlgenannt, Kunj Tandon, S. Mazumdar et al.,
"Formation cross-sections of singlet and triplet
excitons in pi-conjugated polymers," Nature
409, 494-497 (2001).
2. M.K. Lee, M. Segal, Z.G. Soos et al., "On the Yield
of Singlet Excitons in Organic Light-Emitting Devices: A
Double Modulation Photoluminescence-Detected Magnetic
Resonance Study," Phys. Rev. Lett. 94,
137403 (2005).
3. M.-K. Lee, M Segal, Z.G. Soos et al., "Reply to
"Comment on 'Yield of Singlet Excitons in Organic
Light-Emitting Devices: A Double Modulation
Photoluminescence-Detected Magnetic Resonance Study'
"," Phys. Rev. Lett. 96, 089702
(2006).
4. C.G. Yang, E. Eherenfreund, M. Wohlgenannt et al.,
"Comment on "Frequency response and origin of the
spin-1/2 photoluminescence-detected magnetic resonance in a
pi-conjugated polymer"," Phys. Rev. B
75, 246201 (2007).
5. Martin Pope and Charles Swenberg, Electronic Processes in
Organic Crystals, 1st ed. (Oxford University Press, Oxford,
1982).
6. C.G. Yang, E. Eherenfreund, M. Wohlgenannt et al.,
"Comment on "Frequency response and origin of the
spin-1/2 photoluminescence-detected magnetic resonance in a
pi-conjugated polymer"," Phys. Rev. B
75, 246201 (2007).
7. B. van Dijk, P. Gast, and A.J. Hoff, "Control of
Radical Pair Lifetime by a Switched Magnetic Field,"
Physical Review Letters 77 (21), (1996).
8. M. Reufer, M.J. Walter, P.G. Lagoudakis, A.B. Hummel, J.S.
Kolb, H.G. Roskos, U. Scherf, and J.M. Lupton.
Spin-conserving carrier recombination in conjugated polymers.
Nature Materials 4, 340-346 (2005).
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Extrafluorescence: Controlling the Singlet Fraction
We have measured a singlet fraction of approximately 25% in a
variety of dissimilar materials, and showed that exciton
formation is not affected by magnetic resonance conditions.
Both findings suggest that the mixing rate between singlet
and triplet CT states is lower than the exciton formation
rate. We have investigated this question further through
calculation and experiment. Fig. 1 shows a CCT state for the archetypal small molecule Alq3 arranged in a
δ-crystal structure. The charge distribution shown is the result of a density functional calculation,
which indicates that the singlet CT state energy is lower than the triplet CT state energy by 70 meV.
This result is important for two reasons: first, the energy splitting of the CT state is considerably
larger than the typical mixing interaction energy for organic semiconductors (about 10 meV), indicating a
low CT spin mixing rate; and second, the ordering of singlet and triplet energies is opposite to that in excitons.
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Fig. 1. The calculated charge density difference between the singlet and triplet CT states,
and the ground state, in a δ -AlQ3 dimer. The right (left) hand molecule is constrained to be
negatively (positively) charged, and gold (purple) surfaces enclose volumes where the CT state
has more (fewer) electrons. The singlet CT state is calculated to be lower in energy than the triplet CT state by 70 meV.
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We confirm this ordering experimentally in Fig. 2,
by observing the phosphorescent electroluminescence from Alq3 lightly
doped with the phosphor PtOEP. We find that, as the temperature is lowered,
the phosphorescent efficiency decreases in a manner consistent with
a higher-energy triplet CT state. We extract an energy splitting of 7 meV from the data.
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Fig. 2. The PtOEP EL efficiency of an OLED whose emitting
layer consists of Alq3 doped with PtOEP, rises with temperature,
indicating a lower-energy singlet CT state. Inset An Arrhenius plot
produces a straight line, confirming that phosphorescence is thermally
activated, and yielding ΔECT = -(7 ± 3) meV.[1]
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Having confirmed a low CT spin
mixing rate, we construct an extrafluorescent OLED, or X-OLED, shown in Fig. 3.
In this device, CT state spin mixing is selectively turned on, without a
concurrent increase in exciton intersystem crossing. This is accomplished
by mixing charges on their way to the recombination zone, but not mixing excitons
in the recombination zone itself. The result is a factor of 2.7 efficiency enhancement
compared to a control device from which the mixing agent has been removed.
This enhancement is the result of both a higher singlet exciton formation rate,
and CT states relaxing into their lower-energy singlet configuration.
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Fig. 3. The structure and performance of the X-OLED and its control.
(a) The X-OLED (with FIrpic) and its control (with BCP). The doping
concentrations given are molar and accurate to within ±20%. (b) The
quantum efficiencies of the X-OLED and its control, in which FIrpic is
replaced with BCP; and of an OLED identical to the X-OLED, but with the
FIrpic layer spaced from the DCM2 layer by 100 Å of BCP, ie,
the ETL is 100 Å BCP/150 Å FIrpic/ 100 Å BCP. The efficiency
enhancement achieved by the X-OLED with respect to its control
is shown on the right y-axis.
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References
1. M Segal, M. Singh, K. Rivoire et al., "Extrafluorescent Electroluminescence in Organic Light Emitting Devices," Nature Materials 6,
374-378 (2007).
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