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ORGANIC PHOTOVOLATIC CELLS AND GRAPHENE TRANSPARENT CONDUCTORS A DISSERTATION SUBMITTED TO THE DEPARTMENT OF MATERIALS SCIENCE AND ENGINEERING AND THE COMMITTEE ON GRADUATE STUDIES OF STANFORD UNIVERSITY IN PARTIAL FULFILLMENT OF THE REQUIREMENTS FOR THE DEGREE OF DOCTOR OF PHILOSOPHY Junbo Wu March 2011

Transcript of ORGANIC PHOTOVOLATIC CELLS AND GRAPHENE …jm479qg5206... · organic photovolatic cells and...

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ORGANIC PHOTOVOLATIC CELLS AND GRAPHENE

TRANSPARENT CONDUCTORS

A DISSERTATION

SUBMITTED TO THE DEPARTMENT OF MATERIALS

SCIENCE AND ENGINEERING

AND THE COMMITTEE ON GRADUATE STUDIES

OF STANFORD UNIVERSITY

IN PARTIAL FULFILLMENT OF THE REQUIREMENTS

FOR THE DEGREE OF

DOCTOR OF PHILOSOPHY

Junbo Wu

March 2011

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http://creativecommons.org/licenses/by-nc/3.0/us/

This dissertation is online at: http://purl.stanford.edu/jm479qg5206

© 2011 by Wu Junbo. All Rights Reserved.

Re-distributed by Stanford University under license with the author.

This work is licensed under a Creative Commons Attribution-Noncommercial 3.0 United States License.

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I certify that I have read this dissertation and that, in my opinion, it is fully adequatein scope and quality as a dissertation for the degree of Doctor of Philosophy.

Peter Peumans, Primary Adviser

I certify that I have read this dissertation and that, in my opinion, it is fully adequatein scope and quality as a dissertation for the degree of Doctor of Philosophy.

Alberto Salleo, Co-Adviser

I certify that I have read this dissertation and that, in my opinion, it is fully adequatein scope and quality as a dissertation for the degree of Doctor of Philosophy.

Michael McGehee

Approved for the Stanford University Committee on Graduate Studies.

Patricia J. Gumport, Vice Provost Graduate Education

This signature page was generated electronically upon submission of this dissertation in electronic format. An original signed hard copy of the signature page is on file inUniversity Archives.

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Abstract

The Organic photovoltaic cell (OPV) is a promising technology because of its

potential for low-cost high-throughput roll-to-roll manufacturing. Significant

improvements have been achieved in power conversion efficiency (PCE) of OPV cells

during last two decades. While recent progress in raising the PCE has been

encouraging, the PCE of organic solar cells is still limited and needs to be improved to

meet the requirement for commercial applications. Further improvements in both

material properties and device architectures are necessary. Photocurrent generation in

an OPV cell is fundamentally different from the process that takes place in their

inorganic counterparts. A detailed understanding of the operation mechanisms of OPV

cells and optimization of the fundamental electronic properties of the system (or

material) are critical. In this work, I will first discuss major factors that limit the

efficiency of bilayer OPV cells, such as exciton binding energy, exciton diffusion

length, charge separation and open-circuit voltage. The exciton binding energy is one

of the key parameters that govern the operation of OPV cells, and determines the

required energy band offset between donor and acceptor, and thus the achievable

open-circuit voltage of the donor-acceptor combination. Exciton diffusion is a main

bottleneck limiting photocurrent of a bi-layer OPV cell, which depends on material

properties and film morphology. The energy loss between optical excitation and

extracted electrical power is mainly due to the energy band offset between donor and

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acceptor in OPV cells. The PCE limit for single junction OPV cell can be estimated

based on the findings.

In the second part of this work, I will focus on transparent conductors, which are

essential components of thin-film optoelectronic devices. Sputtered Indium-Tin-Oxide

(ITO) is currently the most commonly used transparent electrode material, but it has a

number of shortcomings. There is a clear need for alternative transparent electrodes

whose optical and electrical performance is similar to that of ITO but without its

drawbacks. The next generation transparent conductor should also be lightweight,

flexible, cheap, environmental attractive, and compatible with large-scale

manufacturing methods. I will discuss the possibility of using graphene thin films as a

replacement for ITO. Theoretical estimates indicate that graphene thin films are

promising transparent electrodes for thin-film optoelectronic devices, with an

unmatched combination of sheet resistance and transparency. For the first time, we

demonstrated that solution-processed graphene thin films can serve as transparent

conductive anodes for both OPV cells and organic light-emitting diodes (OLEDs). The

graphene electrodes were deposited on quartz substrates by spin-coating of an aqueous

dispersion of functionalized graphene, followed by a vacuum anneal step to reduce the

sheet resistance. Small molecular weight organic materials and a metal cathode were

directly deposited on the graphene anodes, resulting in devices with a performance

comparable to control devices on ITO transparent anodes. Device modeling has been

explored to compare the performance between graphene-based device and ITO-based

control device. Transfer of graphene films to a foreign flexible substrate was also

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demonstrated which opens up new opportunities for low-cost flexible organic opto-

electronics.

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Acknowledgements

I am greatly honored to be supervised by my adviser, Prof. Peter Peumans. Peter has

deeply impressed me by his vast knowledge base and endless creative ideas. Peter is

always ready to provide constructive explanation and inspiring suggestion to my

project. In details, Peter taught me how to build up vacuum equipment, showed me

how to make organic solar cells, and guided me set up simulation model. During my

PhD life, Peter offered me various great research opportunities, and gave me virtually

absolute flexibility to work on them. His phenomenal intelligence and pleasant

personality made my PhD life at Stanford fruitful and memorable.

I am indebted to my collaborator Hector Becerril, who was postdoctoral fellow in Prof.

Zhenan Bao’s group and is now assistant professor in Brigham Young University. We

had very pleasant and productive collaboration work on graphene transparent

conductor. I wish the best to his career and his family.

I would like to give my special thanks to my committee members, Prof. Mike

McGehee, Prof. Alberto Salleo, Prof. Paul McIntyre, and Prof. Alexander Dunn. Prof.

Dunn was my defense chair, and I really appreciate his support upon my last minute

request. Prof. McIntyre was in my committee for both PhD qualification exam and

oral defense. I am deeply impressed and inspired by his concrete scientific knowledge,

rigorous research attitude and generous kindness to students. I would also like to thank

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Prof. Salleo for hooding me during the commencement as my co-adviser. I took three

classes from Prof. McGehee, and he introduced organic electronics into my life which

later becomes my PhD research focus. I also like to thank Prof. Bianxiao Cui, who

generously offered her help to my defense.

I am indebted to many other professors at Stanford, professors at Tsinghua University

and teachers in high school. I find myself lucky to have the opportunity to be trained

by many great teachers in my school life. Specially, I would like to thank my professor

Cewen Nan at Tsinghua University, who supervised my research for master degree

and helped me establish my professional life.

I am grateful to my fellow group members with whom I have had the pleasure to work

during my Stanford life. Mukul has always been ready to discuss all different kinds of

topics, and generously helped me with many questions and confusions. Shanbin and I

worked together to set up our organic small molecule purification system from scratch,

and we spent so much time to work together and chat about everything in our life.

Seung is a great thinker, and I am always benefited from our discussion. Moreover, I

am lucky to have the opportunity to continue our discussion when we joined the same

company for work. I am glad to share office space with Jung-Yong after we moved to

CISX 218, and our very frequent chatting was really cheerful. I am deeply inspired by

Albert’s enthusiasm about everything he is interested in. I always feel relaxed after

talking with Rostam about so many interesting topics. I admire Kevin’s persistence in

his technology and also like his cake very much. I am also honored to work with

Whitney Gaynor, Serena Faruque, Uraib Aboudi, Trudie Wang, Greyson Christoforo,

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Nicholas Sergeant, Chu-En Chang, Kyunglok Kim, Soo Jin Kim and Shrestha Basu

Mallick. I have been lucky to among this great group of people, and our discussion

contributes directly and indirectly to this work in one way or another.

I greatly thank many friends at Stanford who made my life very happy and exciting.

My special thanks should be given to Zhonghua Zhang, Wei Hu, Xiaoyan Li, Xirong

Jiang, Changhua He, Qihua Ran, Jun Wang, Shanbin Zhao, Dujuan Kang, Yongxing

Shen, Caifeng Zhu and Shuhong Liu, with whom I have spent countless time together

to discusse and practice poker, bridge, skiing, cocktail, and many more. I am also

indebted to my old friends from the past, with whom I grew up and from whom I

learned so much. Thank you all!

I would also like to thank Yuanyuan Liu for her support, understanding, and

encouragement since we met each other, and I really appreciate her help for improving

myself. I am deeply indebted to my parents for their unconditional and endless love

and support. They teach me how to be a good man, they encourage me to explore my

interest, they respect the decision I made, and they make me proud. I also like to thank

my sister for giving me confidence and support, and for taking care of my parents

when I am not around. Without their understanding and love, this work would not

have been nearly possible.

Finally, I would like to acknowledge various funding sources such as National Science

Foundation, Semiconductor Research Corporation, the Global Climate and Energy

Project at Stanford (GCEP), and the Center for Advanced Molecular Photovoltaics

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(CAMP). I also like to thank administrative assistant Patricia Halloran-Krokel for

taking care of all the supporting work.

Thank you all!

Junbo Wu

March 2011 at Stanford

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Contents

Abstract .......................................................................................................................... iv

Acknowledgements ...................................................................................................... vii

List of Tables ............................................................................................................... xiv

List of Figures ............................................................................................................... xv

Chapter 1 Introduction ................................................................................................... 1

1.1 Organic electronic materials ................................................................................ 1

1.2 Organic opto-electronic devices .......................................................................... 3

1.3 Transparent conductors ........................................................................................ 7

1.4 Thesis overview ................................................................................................... 9

Bibliography ............................................................................................................. 11

Chapter 2 Organic Photovoltaic Cells ......................................................................... 15

2.1 Cost analysis of OPV system ............................................................................. 15

2.2 How OPV cells work ......................................................................................... 20

2.2.1 OPV cell operation ...................................................................................... 20

2.2.2 Fundamental problems in OPV operation ................................................... 24

2.3 Light absorption ................................................................................................. 25

2.3.1 Light trapping structure ............................................................................... 26

2.3.2 Bulk heterojunction ..................................................................................... 27

2.4 Exciton binding energy ...................................................................................... 29

2.4.1 Theoretical estimation of EB ....................................................................... 31

2.4.2 Measurement from EQE of OPV cell ......................................................... 32

2.4.3 Measurement from photoluminescence ...................................................... 36

2.4.4 Summary ..................................................................................................... 38

2.5 Exciton diffusion length ..................................................................................... 39

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2.5.1 Measure LD by EQE .................................................................................... 40

2.5.2 Measure LD by PL quenching ...................................................................... 42

2.6 Exciton dissociation ........................................................................................... 46

2.7 Charge separation .............................................................................................. 46

2.8 Charge collection ............................................................................................... 50

2.9 Voltage loss ........................................................................................................ 51

2.10 Efficiency estimation ....................................................................................... 56

2.11 Conclusion ........................................................................................................ 60

Bibliography ............................................................................................................. 61

Chapter 3 Organic Solar Cells with Solution-Processed Graphene Transparent Electrodes ..................................................................................................................... 67

3.1 Introduction ........................................................................................................ 67

3.2 Unique properties of gaphene ............................................................................ 68

3.3 Fabrication of large area graphene thin film ...................................................... 70

3.3.1 Fabrication method survey .......................................................................... 70

3.3.2 Solution-processed graphene film ................................................................ 72

3.4 Properties of Solution-processed graphene film ................................................ 74

3.4.1 Graphene film morphology ......................................................................... 74

3.4.2 Electrical and optical properties of reduced graphene film ........................ 76

3.5 OPV cells on graphene transparent electrode .................................................... 80

3.5.1 Device fabrication ....................................................................................... 80

3.5.2 OPV cell performance ................................................................................. 81

3.6 Conclusion ......................................................................................................... 85

Bibliography ............................................................................................................. 86

Chapter 4 Organic Light-Emitting Diodes on Solution-Processed Graphene Transparent Electrodes ................................................................................................. 90

4.1 Introduction ........................................................................................................ 91

4.2 Comparison of different transparent candidates ................................................ 92

4.3 Organic light-emitting diodes on graphene transparent electrode ..................... 97

4.3.1 OLEDs device fabrication ........................................................................... 97

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4.3.2 Device measurement ................................................................................... 98

4.3.3 Device perofrmance .................................................................................... 99

4.3.4 Device simulation ...................................................................................... 101

4.4 Status of graphene film by CVD ....................................................................... 107

4.5 Conclusion ........................................................................................................ 109

Bibliography ........................................................................................................... 110

Chapter 5 Modeling of Interface Morphology at Organic/Metal Interface ............... 118

5.1 Introduction ...................................................................................................... 118

5.2 Simulation method ........................................................................................... 119

5.2.1 Basic idea .................................................................................................. 119

5.2.2 Simulation workspace ............................................................................... 119

5.2.3 Monte Carlo method ................................................................................. 122

5.3 Results and discussion ..................................................................................... 122

5.3.1 Substrate temperature / Deposition rate dependence ................................ 123

5.3.2 Diffusion coefficient dependence ............................................................. 126

5.3.3 Effect of drive-in potential ........................................................................ 127

5.3.4 Saturated metal atom within film .............................................................. 130

5.3.5 Cluster size on surface .............................................................................. 131

5.4 Conclusion ........................................................................................................ 132

Bibliography ........................................................................................................... 135

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List of Tables

Table 2.1 Measured effective doping concentration………………………………….50

Table 2.2 Significant development work of OPV cells………………………………59

Table 4.1 Simulated fraction of emitted optical power into the various modes

supported by the OLED structures………………………………….……..104

Table 4.2 Sheet resistance and transmittance for different number of graphene

layer………………………………………………………………….…….108

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List of Figures

Fig. 1.1 Chemical structures of popular organic electronic materials. CuPc: copper

phthalocyanine; PTCBI: 3,4,9,10-perylene tetracarboxylic bisbenzimidazole;

BCP: bathocuproine; SubPc: boron subphthalocyanine chloride; C60:

fullerene; Alq3: tris(8-hydroxyquinoline) aluminum; Pentacene; NPD: N,N′-

diphenyl-N,N′-bis (1-naphthyl)-1,1′-biphenyl-4,4″-diamine; PCBM: [6,6]-

phenyl-C61-butyric acid methyl ester; ThCBM: thienyl analogue; MDMO-

PPV: poly[2-methoxy-5- (3,7-dimethyloctyloxy)-p-phenylene]vinylene;

P3HT: poly(3-hexylthiophene) ....................................................................... 2

Fig. 1.2 Examples of Organic Light-emitting Diodes and Organic Photovoltaic Cells . 5

Fig. 1.3 Schematic band diagram and I-V cure of Tang’ device .................................... 6

Fig. 1.4 Transparent conductor is the common component in OLEDs and OPV cells .. 7

Fig. 2.1 Dependence of levelized energy cost on module efficiency for organic

photovoltaic cells. The calculation assumes 1GWp installation in Los

Angeles with average insolation of 5.62kWh/m2/d. The electricity retail price

is plotted as black dashed line. The module cost of OPV cells is assumed be

to $48.8/m2 and $30/m2 respectively, for now and potentially in the neat

future. The circles indicate required module efficiency for OPV system with

different lifetime and module cost, in order to meet grid parity. LEC of

crystalline silicon system with module cost of $1.74/Wp and PCE of 14%,

and LEC of thin film system with module cost of $0.98/Wp and PCE of 9%

are plotted as plus (‘+’) and cross (‘x’) by assuming 25-year lifetime,

respectively.................................................................................................... 18

Fig. 2.2 Schematic of energy band diagram for an organic DA solar cell at flat band

condition. The five steps of photocurrent generation is indicated: (1) Light

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Absorption; (2) Exicton Diffusion; (3) Exciton Dissociation; (4) Charge

Separation; and (5) Charge Collection. LA is typical optical absorption

length in OPV cells, and LED is typical exciton diffusion length near D/A

interface. ........................................................................................................ 21

Fig. 2.3 Light trapping structure: (a) V-shape light trapping structure;15 and (b)

resonant cavity-enhanced configuration by using high-reflectivity mirror16 27

Fig. 2.4 Schematic diagram of bi-layer planar heterojunction OPV cell (left) and bulk

heterojucntion OPV cell (right). Dashed yellow boxes indicate the volume

whitin exciton diffusion length from D/A interface. ..................................... 28

Fig. 2.5 Schematic of energy band diagram of donor-acceptor heterojunction. LUMOE

and HOMOE are the energy offsets of LUMO and HOMO between donor

and acceptor respectively. DBE , and ABE , the binding energy of exciton in

donor and acceptor materials respectively. ................................................... 30

Fig. 2.6 (a) Schematic of Franck-Condon principle. (b) Absorbance and

photoluminescence as a function of photon energy for PTCBI. Lowest

absorption peak and photoluminescence peak were indicated at 1.85eV and

1.58eV, respectively. ..................................................................................... 32

Fig. 2.7 Measured external quantum efficiency (EQE) (open square) as a function of

wavelength for the device of ITO/11nm SubPc/20nm PTCBI/13nm BCP/Ag.

Fitted EQE curves with different surface recombination velocity, S, for the

exciton from PTCBI. S=0 yields the best fit to the measured EQE. S was

assumed infinite for the exciton from SubPc. Exciton diffusion length is 50Å

for SubPc and 30 Å for PTCBI, respectively. Absorption coefficients of

SubPc and PTCBI were plotted for reference. .............................................. 34

Fig. 2.8 Normalized optical field intensity and normalized exciton concentration

within the device of ITO/11nm SubPc/20nm PTCBI/13nm BCP/Ag at

wavelength =585nm. Normalized exciton concentration was plotted by

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assuming different surface recombination velocity, S, for the exciton from

PTCBI. .......................................................................................................... 35

Fig. 2.9 Photoluminescence as a function of wavelength for 10nm PTCBI film, 20nm

1:1 SubPc:PTCBI co-deposition film, and 20nm 1:1 CuPc:PTCBI co-

deposition film. Inset: schematic of exciton dissociation at donor-acceptor

interface. ........................................................................................................ 37

Fig. 2.10 Schematic of film structure for photoluminescence measurement ............... 38

Fig. 2.11 Measured EQE curve (open square) and theoretical fitting (solid line) for (a)

ITO/SubPc/PTCBI/BCP/Ag and (b) ITO/SubPc/C60/BCP/Ag. Independent

contributions from SubPc and C60 are plotted as dashed lines in (b)........... 41

Fig. 2.12 The PL intensity ratio PL1/PL2 of SubPc as function of thickness of SubPc

film (symbol). Fitted curves by using eq. (2.5) yields LD=15A for solid line

and LD=45A for dot-dashed line. Inset: schematic energy level diagram of

SubPc/C60 heterojunction. ............................................................................ 43

Fig. 2.13 Contour of short current density of SubPc/C60 cells as function of SubPc

thickness and C60 thickness. ......................................................................... 45

Fig. 2.14 (a) Effective doping concentration as a function of depletion layer thickness.

Inset: measured capacitance with applied voltage. (b) Schematic energy band

diagram when depletion happens within organic layers at low bias. (c)

Schematic energy band diagram after organic layers are totally depleted at

high bias. ....................................................................................................... 49

Fig. 2.15 Schematic energy band diagram of donor/acceptor heterojunction .............. 52

Fig. 2.16 Voltage loss for different solar cell material systems ................................... 53

Fig. 2.17 Open circuit voltage as function of interface gap for various small molecule

OPV cells. Dashed line indicates Voc = ΔEDA/e - 0.35. ............................... 54

Fig. 2.18 Assumption of efficiency simulation ............................................................ 57

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Fig. 2.19 Simulated efficiency as a function of optical band gap. Best efficiency of

11.6% is predicted at band gap equals 1.65 eV. Significant development

work is shown on the plot for both small molecule and polymer OPV cells.

....................................................................................................................... 58

Fig. 3.1 Graphite crystal and monolayer graphene ....................................................... 69

Fig. 3.2 Graphene film and device made by scotch tape method ................................. 71

Fig. 3.3 Schematic of graphene-on-demand by cut-and-choose transfer-printing

(DCT)18 ......................................................................................................... 72

Fig. 3.4 Schematic of preparing large area graphene thin film by solution process .... 74

Fig. 3.5 AFM images for a reduced thin (<10nm) (a) and thick (>10nm) (b) graphene

film. The scan size is 3m in (a) and 8m in (b). ......................................... 75

Fig. 3.6 Transmittance at =550nm (triangles) and sheet resistance (circles) as a

function of the graphene film thickness for both reduction methods: vacuum

annealing at 1100oC (open symbols), and hydrazine treatment and argon

annealing at 400oC (filled symbols). ............................................................. 77

Fig. 3.7 Relationship between transmission and sheet resistance of reduced graphene

films ............................................................................................................... 78

Fig. 3.8 Transmittance as a function of wavelength for graphene films of various

thicknesses. The graphene films were reduced by the hydrazine treatment

and argon annealing at 400oC........................................................................ 79

Fig. 3.9 Molecule structure of organic materials and device structure of organic

photovoltaic cell ............................................................................................ 81

Fig. 3.10 Current density vs. voltage (J-V) curves for an OPV cell with layer structure

35nm CuPc/50nm C60/10nm BCP/100 nm Ag on graphene (circles) and ITO

(squares) in the dark (filled symbols) and under 85mW/cm2 AM1.5G

simulated solar illumination (open symbols). The sheet resistance and

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transmittance of the graphene film are ~100k/sq and 95%, respectively.

Inset: Schematic of the cells. ......................................................................... 83

Fig. 3.11 J-V curves for OPV cells on ITO (squares) and three different graphene

films (circles, triangles, and inverted triangles) under AM1.5G simulated

solar illumination. Using the data for the cell on ITO, the J-V curves of the

cells on graphene are reproduced by adding a resistive voltage drop to the

voltage axis (solid line, dashed line, and short dashed line). The series

resistances used to obtain these fits, R1,fit=110k, R2,fit=180k and

R3,fit=420k, are very close to the measured sheet resistances of the

graphene films used: R1=75k-150k, R2=200k and R3=200k-3M,

respectively.................................................................................................... 84

Fig. 4.1 Film thickness dependence of sheet resistance for different transparent

conductors. Two limiting values were calculated for graphene using =

2x105 cm2/Vs at Ni = 1012 cm-2 and = 104 cm2/Vs at Ni = 3x1012 cm-2. The

thicknesses of the Ag nanowire film and metal grating are mean thicknesses

obtained by spreading the mass of the metal over the entire substrate area. . 93

Fig. 4.2 Solar photon flux-weighted transmission vs. sheet resistance for different

transparent conductors. Two limiting lines of graphene film were calculated

by using two different refractive indexes n = 2.0+1.1i and n = 2.6+1.3i for

graphene, assuming = 2x105 cm2/Vs and Ni = 1012 cm-2. Two horizontal

lines represent the transmission through bare glass (dashed line, n = 1.463)

and PET (Polyethylene terephthalate) (dotted line, n = 1.575) by including

Fresnel reflections at both the air/(glass or PET) and (glass or PET)/air

interfaces. Solar transmission is calculated by integrating the product of the

spectrally resolved transmittance with the spectrally resolved AM1.5 photon

flux over the spectral range of 400-800nm. .................................................. 95

Fig. 4.3 Molecule structure of organic materials and device structure of organic light-

emitting diodes .............................................................................................. 98

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Fig. 4.4 Current density (filled symbols) and luminance (open symbols) vs. applied

forward bias for an OLED on graphene (squares) and ITO (circles), with

OLED device structure anode/PEDOT:PSS/NPD(50nm)/Alq3(50nm)/LiF/Al.

..................................................................................................................... 100

Fig. 4.5 External quantum efficiency (EQE) (filled symbols) and luminous power

efficiency (LPE) (open symbols) for an OLED on graphene film (squares)

and ITO glass (circles). The luminance, EQE, and LPE were adjusted to

reflect total front emission power according to the method described in the

Methods. ...................................................................................................... 101

Fig. 4.6 Schematic of light distribution of OLEDs. The light can be distributed into air

modes, substrate modes, wave-guide modes, surface plasma modes, anode

absorption and metal absorption. ................................................................ 102

Fig. 4.7 Measured light spectrum of OLED with the structure as shown in the plot . 103

Fig. 4.8 Simulated angularly-integrated spectral density of emitted power into

unbound (UB) air modes, substrate trapped (ST) modes, wave-guided (WG)

modes, and surface plasmon polariton (SPP) modes. ................................. 104

Fig. 4.9 Simulated spectrally-integrated emitted power per unit solid angle for OLEDs

on graphene film (blue dash-dotted line) and control ITO (red solid line)

glass. A Lambertian response (black dashed line) is plotted for reference. 105

Fig. 4.10 The fraction of power emitted as a function of normalized in-plane wave-

vector kxy for all wavelengths between 400nm and 800nm for an OLED on

ITO (a) and graphene (b), with device structure

anode/PEDOT:PSS/NPD(50nm)/Alq3(50nm)/LiF/Al as shown in Fig. 4.3.

The fraction of power coupled to air modes, substrate modes, wave-guided

modes and surface plasmon polariton modes is evaluated by integrating the

power distribution over the appropriate ranges of the in-plane wave-vector

kxy. .............................................................................................................. 106

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Fig. 4.11 The relationship of solar transmission vs. sheet resistance for ITO and

graphene films. Texture-filled area for theoretically-estimated graphene, blue

crosses for solution-processed graphene, and red circle for CVD-growed

graphene. ..................................................................................................... 108

Fig. 5.1 Cubic array of organic molecules ................................................................. 120

Fig. 5.2 (a) Schematic of metal atom diffusion direction; (b) Probability distribution of

each event on 1D axis.................................................................................. 121

Fig. 5.3 Substrate temperature / deposition rate dependence. Region 1: above surface;

Region 2: organic film; Region 3: bottom electrode ................................... 124

Fig. 5.4 Comparison with experimental data .............................................................. 125

Fig. 5.5 Diffusion coefficient dependence. Keeping surface diffusion = 100, boundary

diffusion is increased from 20 to 50. ........................................................... 127

Fig. 5.6 Influence of drive-in potential ....................................................................... 128

Fig. 5.7 Track of diffusion. Diffusion path start from black dot and stop at green dot.

..................................................................................................................... 130

Fig. 5.8 Number and percent of atoms below surface with increasing deposition layer

..................................................................................................................... 131

Fig. 5.9 Deposition rate dependence of surface morphology ..................................... 132

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Chapter 1 Introduction

This chapter is a brief introduction of organic electronic materials and organic opto-

electronic devices. The purpose is to provide some most relevant information and

explain the motivation of my work. I will start with some basics of organic electronic

materials, and then explain a brief development history of organic opto-electronic

devices, mainly organic photovoltaic (OPV) cells and organic light-emitting diodes

(OLEDs). The need for transparent conductors in organic opto-electronic devices is

then highlighted. Finally, the chapter is ended by the thesis overview.

1.1 Organic electronic materials

Most organic materials consist of carbon. Organic electronic materials are generally

categorized into two groups: small molecular weight organic materials and polymer.

Small molecular weight compounds consist of several to a few hundred atoms, while

polymers are characterized by a long molecular chain with repeated monomers. Fig.

1.1 shows chemical structures of popular organic electronic materials.

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C60

PTCBI

SubPc

Pentacene

C60C60

PTCBI

SubPc

Pentacene

Fig. 1.1 Chemical structures of popular organic electronic materials.

CuPc: copper phthalocyanine; PTCBI: 3,4,9,10-perylene tetracarboxylic

bisbenzimidazole; BCP: bathocuproine; SubPc: boron subphthalocyanine

chloride; C60: fullerene; Alq3: tris(8-hydroxyquinoline) aluminum;

Pentacene; NPD: N,N′-diphenyl-N,N′-bis (1-naphthyl)-1,1′-biphenyl-4,4″-

diamine; PCBM: [6,6]-phenyl-C61-butyric acid methyl ester; ThCBM:

thienyl analogue; MDMO-PPV: poly[2-methoxy-5- (3,7-dimethyloctyloxy)-

p-phenylene]vinylene; P3HT: poly(3-hexylthiophene)

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The common feature of organic electronic materials is the conjugation, that is,

alternation of single and double bonds. The structure represents the sp2 hybridization,

and allows delocalized the electrons among the ring, which forms the foundation of

electrical and optical properties of organic materials. The work in this thesis will

mainly focus on small molecular weight organic materials except for special

clarification.

One big advantage for organic electronic materials is that the electrical and optical

properties, such as conductivity and optical band gap, can be tailored by molecular

design, which will offer significant design freedom. In addition, organic molecule is

self-passivated, so the properties of the materials do not depend on lattice matching or

dangling bonds. Therefore, process cost could potentially be very low, such as spin

coating, spray, roll-to-roll process, and so on. Some potential concerns about organic

electronic materials are low conductivity, stability, high sensitivity and low purity.

The application development of organic electronic materials has been mainly focusing

on organic photovoltaic (OPV) cells, organic light-emitting diodes (OLEDs), organic

photo-detectors, organic laser, organic transistor, organic non-volatile memory, and so

on. OPV cells and transparent conductors for OPV cells and OLEDs will be the focus

of the thesis.

1.2 Organic opto-electronic devices

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Fig. 1.2 shows some examples of OLED display, OLED lighting and OPV cells.

OLEDs and OPV cells are the most active areas in organic electronics.

Due to its superb image quality, low power consumption and ultra-thin device

structure, OLED has been developed for more than 20 years,1-8 and recently finds its

application in ultra-thin televisions and other display screens such as those on digital

cameras and mobile phones. On the other hand, OPV cell is still under development,

and very few products are available on the market for some niche application. Major

concerns of OPV cells are power conversion efficiency and reliability.

The first efficient bi-layer OPV cell was made by C.W. Tang.9 The cell is made on a

glass substrate coated with transparent conductor, indium tin oxide (ITO). As shown

in Fig. 1.3, copper phthalocynine (CuPc) and perylene tetracarboxylic derivative were

deposited on ITO/glass, and Ag was used as top electrode.

Light is absorbed in both organic layers and excitons formed upon light absorption

diffuse to the heterojunction interface and then dissociate. Holes and electrons travel

through CuPc and perylene tetracarboxylic derivative respectively, and get collected

by ITO and Ag respectively. The current-voltage curve of the device is shown in Fig.

1.3, where JSC is short circuit current density, VOC is the open circuit voltage, and PM is

maximum power point. Fill factor FF is defined via Eq. (1.1), and power conversion

efficiency is defined via Eq. (1.2),

OCSC

M

VJ

PFF

* (1.1)

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Konarka OPV Cell

Samsung OLED Phone

UDC OLED Flexible Display

Sony OLED TV on Market GE OLED Lighting

Konarka OPV Cell

Samsung OLED PhoneSamsung OLED Phone

UDC OLED Flexible DisplayUDC OLED Flexible Display

Sony OLED TV on MarketSony OLED TV on Market GE OLED LightingGE OLED Lighting

Fig. 1.2 Examples of Organic Light-emitting Diodes and Organic

Photovoltaic Cells

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ITO

/Gla

ss

Ag

CuPc PTCBI

ITO

/Gla

ss

Ag

ITO

/Gla

ss

Ag

CuPc PTCBIdonor acceptordonor acceptor

Fig. 1.3 Schematic band diagram and I-V cure of Tang’ device

IN

OCSC

IN

M

P

FFVJ

P

P ** (1.2)

where PIN is incident power. Tang introduced heterojunction in his device, which

helps dissociate exciton efficiently, and yield significant improvement of efficiency.

Significant progress has been made after Tang’s device, and achieved efficiency is

above 8% very recently.10 Main improvement comes from better OPV materials,11

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bulk heterojunction donor/acceptor interface,12-14 light trapping technique,15, 16 and

multi-junction cells.10, 17

1.3 Transparent conductors

Organic optoelectronic devices have been attracting extensive interest because of their

potential to be deposited on flexible, light-weight substrates using low-cost fabrication

methods. An important aspect of optoelectronic thin-film devices is the transparent,

conductive electrode through which light couples in or out of the devices.

Fig. 1.4 Transparent conductor is the common component in OLEDs and

OPV cells

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As shown in Fig. 1.4, transparent conductor (TCO) is the common component in both

OLEDs and OPV cells. Traditionally, indium tin oxide (ITO) is used in this type of

devices. However, indium is rare, expensive and difficult to recycle. Also metal oxides

such as ITO are brittle and therefore of limited use on flexible substrates.18 Moreover,

Indium is known to diffuse into the active layers of OLEDs, which leads to a

degradation of performance over time.19 There is a clear need for alternative

transparent electrodes whose optical and electrical performance is similar to that of

ITO but without its drawbacks. The next generation of optoelectronic devices requires

transparent conductive electrodes to be lightweight, flexible, cheap, environmental

attractive, and compatible with large-scale manufacturing methods.

Several alternative candidates have been demonstrated, including other transparent

conductive oxides,20, 21 very thin metal films,22 carbon nanotube (CNT) random

meshes,23, 24 metal nanowire random meshes25 and metal gratings.26 While substantial

progress has been made, many issues remain to be addressed, such as performance,

cost, lifetime, roughness, manufacturability, etc. In the second part of the thesis

Graphene, I will demonstrate solution-processed graphene is a promising candidate

due to its unique electrical and optical properties.

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1.4 Thesis overview

The Organic photovoltaic cell (OPV) is a promising technology because of its

potential for low-cost high-throughput roll-to-roll manufacturing. To further improve

OPV cell performance, a detailed understanding of the operation mechanisms of OPV

cells and optimization of the fundamental electronic properties of the system (or

material) are critical. In this thesis, I will first investigate major factors that limit the

efficiency of bilayer OPV cells, and in the second part, I will focus on graphene

transparent conductors

In chapter 2, I start with cost analysis of OPV module, and then attempt to address

some of the important problems of the fundamental physical processes underlying the

operation of small molecular weight OPV cells, such as exciton binding energy,

exciton diffusion length, charge separation, voltage losses, and open circuit voltage. In

the end, achievable PCE of single junction OPV cells is estimated by using the

parameters concluded from the study.

In chapter 3, we demonstrate that solution-processed graphene thin films can serve as

transparent conductive anodes for organic photovoltaic cells. The graphene electrodes

were deposited on quartz substrates by spin-coating of an aqueous dispersion of

functionalized graphene, followed by a reduction process to reduce the sheet

resistance. Small molecular weight organic solar cells can be directly deposited on

such graphene anodes. The short-circuit current and fill factor of these devices on

graphene are lower than that of control device on indium tin oxide due to the higher

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sheet resistance of the graphene films. We anticipate that further optimization of the

reduction conditions will improve the performance of these graphene anodes.

In chapter 4, our theoretical estimates indicate that graphene thin films can be used as

transparent electrodes for thin-film devices such as solar cells and organic light-

emitting diodes, with an unmatched combination of sheet resistance and transparency.

We demonstrate organic light-emitting diodes with solution-processed graphene thin

film transparent conductive anodes. The graphene electrodes were deposited on quartz

substrates by spin-coating of an aqueous dispersion of functionalized graphene,

followed by a vacuum anneal step to reduce the sheet resistance. Small molecular

weight organic materials and a metal cathode were directly deposited on the graphene

anodes, resulting in devices with a performance comparable to control devices on

indium-tin-oxide transparent anodes. The outcoupling efficiency of devices on

graphene and indium-tin-oxide is nearly identical, in agreement with model

predictions.

In chapter 5, a random walk model is proposed to simulate the interface morphology

when depositing metal atoms on the organic film. The paper mainly discusses the

influences of substrate temperature, deposition rate, diffusion coefficient and drive-in

potential. In comparison with experimental data, this simple model gives reasonable

interface morphology and metal distribution profile.

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Bibliography

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1987,51,913-915.

2. Baldo, M. A.; O'Brien, D. F.; You, Y.; Shoustikov, A.; Sibley, S.; Thompson, M.

E.; Forrest, S. R. Highly efficient phosphorescent emission from organic

electroluminescent devices. Nature 1998,395,151-154.

3. Sun, Y.; Giebink, N. C.; Kanno, H.; Ma, B.; Thompson, M. E.; Forrest, S. R.

Management of singlet and triplet excitons for efficient white organic light-emitting

devices. Nature 2006,440,908-912.

4. B. W. D'Andrade, R. J. Holmes,S.R.Forrest, Efficient Organic

Electrophosphorescent White-Light-Emitting Device with a Triple Doped Emissive

Layer. Adv Mater 2004,16,624-628.

5. Burroughes, J. H.; Bradley, D. D. C.; Brown, A. R.; Marks, R. N.; Mackay, K.;

Friend, R. H.; Burns, P. L.; Holmes, A. B. Light-emitting diodes based on conjugated

polymers. Nature 1990,347,539-541.

6. Friend, R. H.; Gymer, R. W.; Holmes, A. B.; Burroughes, J. H.; Marks, R. N.;

Taliani, C.; Bradley, D. D. C.; Santos, D. A. D.; Bredas, J. L.; Logdlund, M.; Salaneck,

W. R. Electroluminescence in conjugated polymers. Nature 1999,397,121-128.

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7. He, G.; Pfeiffer, M.; Leo, K.; Hofmann, M.; Birnstock, J.; Pudzich, R.; Salbeck, J.

High-efficiency and low-voltage p-i-n electrophosphorescent organic light-emitting

diodes with double-emission layers. Appl. Phys. Lett. 2004,85,3911-3913.

8. Li, J.; Hu, L.; Wang, L.; Zhou, Y.; Gruner, G.; Marks, T. J. Organic Light-Emitting

Diodes Having Carbon Nanotube Anodes. Nano Letters 2006,6,2472-2477.

9. Tang, C. W. Two-layer organic photovoltaic cell. Appl. Phys. Lett. 1986,48,183-

185.

10. http://www.heliatek.com/ 2010.

11. Peumans, P.; Forrest, S. R. Very-high-efficiency double-heterostructure copper

phthalocyanine/C[sub 60] photovoltaic cells. Appl. Phys. Lett. 2001,79,126-128.

12. Peumans, P.; Uchida, S.; Forrest, S. R. Efficient bulk heterojunction photovoltaic

cells using small-molecular-weight organic thin films. Nature 2003,425,158-162.

13. Yang, F.; Shtein, M.; Forrest, S. R. Controlled growth of a molecular bulk

heterojunction photovoltaic cell. Nat. Mater. 2005,4,37-41.

14. Yang, F.; Sun, K.; Forrest, S. R. Efficient Solar Cells Using All-Organic

Nanocrystalline Networks. Adv Mater 2007,19,4166-4171.

15. Rim, S.; Zhao, S.; Scully, S. R.; McGehee, M. D.; Peumans, P. An effective light

trapping configuration for thin-film solar cells. Appl. Phys. Lett. 2007,91,243501-3.

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16. Agrawal, M.; Peumans, P. Broadband optical absorption enhancement through

coherent light trapping in thin-film photovoltaic cells. Opt. Express 2008,16,5385-

5396.

17. Xue, J.; Uchida, S.; Rand, B. P.; Forrest, S. R. Asymmetric tandem organic

photovoltaic cells with hybrid planar-mixed molecular heterojunctions. Appl. Phys.

Lett. 2004,85,5757-5759.

18. Chen, Z.; Cotterell, B.; Wang, W.; Guenther, E.; Chua, S. A mechanical

assessment of flexible optoelectronic devices. Thin Solid Films 2001,394,201-205.

19. Lee, S. T.; Gao, Z. Q.; Hung, L. S. Metal Diffusion From Electrodes in Organic

Light-Emitting Diodes. Appl. Phys. Lett. 1999,75,1404.

20. Kim, H.; Gilmore, C. M.; Horwitz, J. S.; Pique, A.; Murata, H.; Kushto, G. P.;

Schlaf, R.; Kafafi, Z. H.; Chrisey, D. B. Transparent conducting aluminum-doped zinc

oxide thin films for organic light-emitting devices. Appl. Phys. Lett. 2000,76,259-261.

21. J. Cui, A. Wang, N. L. Edleman, J. Ni, P. Lee, N. R. Armstrong,T.J.Marks,

Indium Tin Oxide Alternatives - High Work Function Transparent Conducting Oxides

as Anodes for Organic Light-Emitting Diodes. Adv Mater 2001,13,1476-1480.

22. Pode, R. B.; Lee, C. J.; Moon, D. G.; Han, J. I. Transparent conducting metal

electrode for top emission organic light-emitting devices: Ca--Ag double layer. Appl.

Phys. Lett. 2004,84,4614-4616.

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23. Hu L.; Gruner G.; Gong J.; Kim C.; Hornbostel B. Electrowetting Devices with

Transparent Single-Walled Carbon Nanotube Electrodes. Appl. Phys. Lett.

2007,90,093124/1.

24. Zhang, D.; Ryu, K.; Liu, X.; Polikarpov, E.; Ly, J.; Tompson, M. E.; Zhou, C.

Transparent, Conductive, and Flexible Carbon Nanotube Films and Their Application

in Organic Light-Emitting Diodes. Nano Letters 2006,6,1880-1886.

25. Lee, J. -Y.; Connor, S. T.; Cui, Y.; Peumans, P. Solution-Processed Metal

Nanowire Mesh Transparent Electrodes. Nano Lett. 2008,8,689-692.

26. M.-G. Kang, L. J. G., Nanoimprinted Semitransparent Metal Electrodes and Their

Application in Organic Light-Emitting Diodes. Adv Mater 2007,19,1391-1396.

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Chapter 2 Organic Photovoltaic Cells

Organic photovoltaic (OPV) cells are a promising technology because of their

flexibility, light-weight, and potential low-cost high-throughput roll-to-roll production.

However, higher power conversion efficiency (PCE) needs to be realized in order for

OPV cells to be commercially attractive. In this chapter, I start with cost analysis of

OPV module, and then attempt to address some of the important problems of the

fundamental physical processes underlying the operation of small molecular weight

OPV cells, such as exciton binding energy, exciton diffusion length, charge separation,

voltage losses, and open circuit voltage. In the end, achievable PCE of single junction

OPV cells is estimated by using the parameters concluded from the study.

2.1 Cost analysis of OPV system

Photovoltaic (PV) cells are one of major renewable energy resources, and are expected

to supply a great portion of total power for all the human beings. While conventional

PV technologies, such as crystalline silicon solar cells, amorphous silicon solar cells,

CdTe thin film solar cells, CuInGaSe2 (CIGS) solar cells, and III-VI concentration

solar cells, have been making tremendous growth in production and installation in last

decade, the cost of electricity produced by PV technology is still significantly higher

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than that of traditional electricity. In order to reach grid parity, substantial reduction in

PV system cost needs to be achieved. The cost of an installed PV system consists of

the cost of PV modules, and the other items so called balance of system (BOS), such

as module support frame, inverter, wiring, labor, and so on. A large fraction of BOS

cost of a PV system is proportion to installation area. Therefore, higher PCE of PV

module will yield lower BOS of the system per kilo Walt hour (kWh). All the current

PV manufactures are trying to further reduce PV module production cost, and improve

PCE at the same time.

OPV cells are one of the most emerging PV technologies, and are considered to

be third generation PV technology with the potential of significantly low cost. In fact,

the module cost of OPV cells could potentially be much lower than that of

conventional PV technologies, which is true for both solution-processed polymer OPV

cells,1 and vacuum-deposited small molecule OPV cells.2 Therefore, it is very

interesting to discuss the electricity cost produced by OPV system. As shown in Fig.

2.1, levelized energy cost (LEC) of a PV system is plotted as a function of module

efficiency for different system lifetime, assuming that the PV system is installed in

Los Angeles with 1 GW peak capacity (1GWp).

Levelized energy cost (LEC), C, is expressed as3

OMiPP

A CCfBOSI

BOSMC

0

0

1

(2.1)

where I0 (=1000W/m2) is the peak intensity of Sun, fi is the fraction of indirect cost

such as marketing and management overhead, and COM is the cost per kWh for

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operation and maintenance (O&M). COM and fi are assumed to be 0.05¢/kWh and 10%

for the 1GWp system. BOSP is the BOS cost that scales linearly with total installed

Wp, and BOSA is the BOS cost that scales linearly with total installed module, which

are assumed to be $0.27/Wp and 40/m2 for a 1GWp system respectively.3. C0 is LEC

of a $1/Wp system without O&M and is obtained by

1)1(

)1(00

n

n

insDA r

rr

q

IC

(2.2)

where qins is insolation, ηDA is conversion efficiency from DC to AC, r is interest rate

and n is lifetime of the system. In this simulation, ηDA=0.8, r=7% and n=10 years are

assumed.

Based on the optimistic estimation for the cost of pure organic solar cells,4 the OPV

module cost M is assumed to be $48.8/m2, among which the material costs $23.4/m2

and ITO costs $7.9/m2 by itself. As seen in Fig. 2.1, levelized energy cost keeps

decreasing with module efficiency. To estimate the system requirement for matching

grid parity, the current retail price of electricity in Los Angeles, 11.5¢/kWh, is plotted

in Fig. 1.1 as dashed line.5 For a 5-year lifetime of OPV system, PCE of OPV module

needs to be 20% to meet grid parity. However, if the lifetime of OPV module could

reach 10 years or even 25 years, the requirement for OPV module efficiency is 9.5%

and 5%, respectively. Therefore, both PCE and reliability of OPV module are very

important in economical point of view.

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0 5 10 15 20 250

5

10

15

20

25

30

X

+

7.5%5%

9.5% 20%

Optimistic estimation for the cost ofpure organic solar cell: $48.8/m2

* Material Cost: $23.4/m2

* ITO: $7.9/m2

electricity retail price: 11.5 cents/kwh

Los Angeles (ave insolation: 5.62 kwh/m2/d), 1GW installation

10y, $30

25y, $48.85y, $48.8

10y, $48.8

Leve

lized

Ene

rgy

Cos

t (c

ent

s/kw

h)

Module Efficiency (%)

Fig. 2.1 Dependence of levelized energy cost on module efficiency for

organic photovoltaic cells. The calculation assumes 1GWp installation in Los

Angeles with average insolation of 5.62kWh/m2/d. The electricity retail price

is plotted as black dashed line. The module cost of OPV cells is assumed be

to $48.8/m2 and $30/m2 respectively, for now and potentially in the neat

future. The circles indicate required module efficiency for OPV system with

different lifetime and module cost, in order to meet grid parity. LEC of

crystalline silicon system with module cost of $1.74/Wp and PCE of 14%,

and LEC of thin film system with module cost of $0.98/Wp and PCE of 9%

are plotted as plus (‘+’) and cross (‘x’) by assuming 25-year lifetime,

respectively.

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The cost of $48.8/m2 for pure organic solar cells is estimated based on the current

status of materials and fabrication. Significant reduction of OPV module is anticipated

with increasing maturity of the technology and effort of exploring low-cost materials

and processes. If the cost of OPV module could be reduced to $30/m2, which is not

aggressive at all, the module efficiency needs only to be 7.5% in order to meet grid

parity by assuming system lifetime is 10 years. As a reference, the highest efficiency

of single-junction OPV cells has been improved to be over 8% very recently.6, 7

According to solarbuzz.com, lowest module price is $1.74/Wp for crystalline silicon

solar cells with module PCE of 14%, and $0.98/Wp for thin film solar cells with

module PCE of 9%, respectively. Also in Fig 2.1, levelized energy cost is indicated as

plus (‘+’) for the crystalline cells and cross (‘x’) for the thin film cells, by assuming

the system warrant is 25-year lifetime. We can see that both types of PV technologies

need improve further in order to meet grid parity even for Los Angeles, where

insolation is high and electricity is relatively expensive. For many other locations with

less insolation and electricity cost, more improvement needs to be realized in order for

PV system to match local grid parity.

Based on this analysis, three major parts of OPV cells need to be addresses, which are

high efficiency, low fabrication cost and long lifetime. Therefore, the rest of the

chapter will focus on understanding fundamental physics problem during OPV

operation, which is ultimately essential for improving PCE of OPV cells. In next two

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chapters, I will discuss the possibility to use low-cost graphene film to replace ITO,

which is a big portion of material cost in OPV cells as mentioned previously.

2.2 How OPV cells work

Organic photovoltaic cells (OPV) have been attracting many interests because of their

flexibility, light weight, easy fabrication and potential low-cost production. Great

progress toward high efficiency has been made since the first donor/acceptor (D/A)

heterojunction cell was reported by C. W. Tang.8 Power conversion efficiency has

been increasing from 0.95% to more than 8% progressively,6, 9-11 however, it is still

less than current conventional PV technologies, and needs to be improved further.12 A

detailed understanding and optimization of fundamental electronic properties of the

system (or material) is indeed very critical. In this section, I will first describe the

fundamental operation mechanism of OPV cells, and then discuss the problems in

each physics step.

2.2.1 OPV cell operation

Photocurrent generation in OPV cells is fundamentally different from the counterpart

process in inorganic PV devices. The basic operation of a single junction OPV cell is

illustrated by using energy band diagram in Fig. 2.2. A basic single junction OPV cell

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consists of two active organic layers, so called donor material and acceptor material,

both of which are responsible for generating photocurrent. Five steps are employed to

characterize this process as shown in the Fig. 2.2.

LA~LED

cathode

1 4 5

donor acceptor

anode cathode

3

2

LALA~LED~LED

cathode

11 4 5

donor acceptor

anode cathode

3

2

Fig. 2.2 Schematic of energy band diagram for an organic DA solar cell

at flat band condition. The five steps of photocurrent generation is indicated:

(1) Light Absorption; (2) Exicton Diffusion; (3) Exciton Dissociation; (4)

Charge Separation; and (5) Charge Collection. LA is typical optical

absorption length in OPV cells, and LED is typical exciton diffusion length

near D/A interface.

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1. Light absorption. Upon the absorption of incident light, organic molecule will

transform itself from ground state to excited state, when electron-hole pair is

created. Right after its formation, the electron-hole pair will relax into a bound

state, which is called exciton. The binding energy of exciton prevents itself from

separation in absence of energy favorable condition, such as D/A (donor/acceptor)

interface and strong electrical field within the layer. Exciton usually sits on one

single molecule, and could either recombine or randomly diffuse to the nearby

molecule. This will lead to the next step, exciton diffusion.

2. Exciton diffusion. Exciton in organic layer could diffuse around via hopping

among adjacent molecules. The exciton diffusion process is random in terms of

direction. Presence of electrical filed will not help orient the diffusion direction,

because each exciton consists of one electron and one hole and appears neutral.

Average distance of exciton diffusion before its recombination is defined as

exciton diffusion length, LED. Exciton diffusion length is relatively short, about 5-

10nm for most of organic materials. If an exciton could meet D/A interface or

strong electrical field within its diffusion length, it will separate into electron and

hole.

3. Exciton dissociation. In a typical bi-layer OPV cell, electrical field within each

layer, donor or acceptor, is usually not strong enough to separate exciton.

Therefore, D/A interface is very essential to dissociate an exciton in OPV cells.

When an exciton in donor material diffuse to the D/A interface, the exciton will

transfer an electron to adjacent acceptor molecule, and leave the hole behind, as

shown in step 3 in Fig. 2.1. Similar process will happen when an exciton in

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acceptor material diffuse to D/A interface. However, the energy band offset needs

to be larger than exciton binding energy in order to for exciton dissociation to

happen efficiently. Exciton dissociation will generate a electron polaron in the

lowest unoccupied molecular orbital (LUMO) of an acceptor molecule and a hole

polaron in the highest occupied molecular orbital (HOMO) of a donor molecule.

The electron and the hole generated via exciton dissociation is called geminate

electron-hole pair (GEHP), and they are still weakly bounded depending on the

initial separation distance.

4. Charge separation. It is still possible for GEHP to recombine due to Coulomb

attraction, although the diffusion process will help electron and hole further

separate because of D/A interface constrain. The direction and magnitude of

electrical field at D/A interface is very critical. If strong electrical field, e.g.,

106V/cm2, is present at D/A interface and also its direction helps electron and hole

diffuse away from the interface, charge separation will be very efficient.13, 14

Otherwise, the chance of GEHP recombination will be higher.

5. Charge collection. After electron and hole are completely separated from D/A

interface, they could travel through the organic layer and get collected by

corresponding electrodes. The process is usually very efficient for typical

operation condition. The electron and hole could still be recombined potentially

during its travel in organic layer, but the chance is generally very small.

Photocurrent generation in OPV cells can be described in five critical steps as

discussed above, and each step has a yield or quantum efficiency (QE) associated with

it. QE is generally defined as the ration of number out to number in. Internal quantum

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efficiency of an OPV cell, ηIQE, is the ratio of the number of electrons that contribute

to photocurrent to the number of incident photons that are absorbed by active organic

layers. Similarly, external quantum efficiency of an OPV cell, ηEQE, is the ratio of the

number of electrons that contribute to photocurrent to the number of incident photons.

ηIQE measures the ability of OPV cell to convert absorbed photons into photocurrent

without considering absorption loss. The relationship is defined as follows.

CCCSCTEDAIQEAEQE (2.3)

Where ηA is optical absorption efficiency, ηED is the exciton diffusion efficiency, ηCT

is the exciton dissociation efficiency (also called charge transfer efficiency), ηCS is the

GEHP separation efficiency, and ηCC is the carrier collection efficiency.

The photocurrent under short-circuit conditions can be expressed,

dSqJ EQESC )( (2.4)

where S(λ) is the AM1.5 solar spectrum expressed in number of photons per unit area

per unit time per unit wavelength. Open circuit voltage (VOC) is determined together

by photocurrent and dark current of the cell.

2.2.2 Fundamental problems in OPV operation

As described in last section, photocurrent generation process in OPV cell is quite

different from conventional inorganic P-N junction. Till now, many fundamental

problems in OPV cell remains unclear. I will raise some of critical problems in this

sub-section, and try to address them in the following sections.

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1. How to resolve trade-off between absorption and exciton diffusion?

2. How to determine the exciton binding energy?

3. What affects the exciton diffusion length?

4. Are the organic materials electrically doped?

5. What the voltage loss in an OPV cell?

6. What is the best possible single junction OPV cell efficiency?

2.3 Light absorption

Typical light absorption coefficient (α) of OPV materials is ~105/cm, with

absorption spectra width of ~200nm. To absorb incident light efficiently, organic

active layer needs to be thicker than optical absorption length, LA, which is calculated

from absorption coefficient, /1AL . Therefore, an ideal thickness of organic layer

is >100nm in order to absorb the majority of incident light. However, exciton created

by light absorption has to diffuse to D/A interface to dissociate. As I discussed in last

section, typical exciton diffusion length is only 5-10nm, which is much less than

optical absorption length. Therefore, the majority of exciton generated upon light

absorption will recombine within one organic layer for thick OPV cell, and thus will

not contribute to photocurrent. How to balance the conflict requirement of light

absorption and exciton diffusion?

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2.3.1 Light trapping structure

One solution is to use light trapping technique on a very thin OPV device. Thin

device could increase the probability of exciton diffusing to D/A interface upon

absorption, and light trapping structure will allow un-absorbed light to bounce within

the device structure and gain multiple chances to be absorbed eventually.

Fig. 2.3a shows V-shape light trapping geometry.15 The active layer and

reflective metal electrode are deposited on a V-shaped transparent substrate coated

with a transparent electrode such as indium tin oxide (ITO). Incident optical rays

bounce off the solar cell structure multiple times as illustrated in the figure. The

scheme does not require modification of device structure itself, but fabricates the solar

cell on a V-shaped substrate with much larger scale than device thickness. A 52%

increase in power conversion efficiency was demonstrated experimentally. The

structure is applicable to a broad class of low-cost thin film solar cells.

Fig. 2.3b shows another light trapping scheme to enhance optical absorption of

thin OPV cell, by inserting a two-component aperiodic dielectric stack into the OPV

device structure.16 The stack is a generalized anti-reflection coating used in PV

technology. Specific designs for thin-film OPV cells increase the photocurrent under

AM1.5 illumination, averaged over all incident angles and polarizations, by up to 40%.

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With low-cost techniques to manufacture such thin-film dielectric coatings, this

approach may be of practical use to enhance the efficiency of thin-film solar cells.

Some other light trapping techniques have been explored as well, such as metal

grating, buried nanoelectrodes, and scattered elements.15 However, the typical

required feature size is comparable to organic layer thickness, which makes it

challenging for low cost fabrication.

(b)(b)

Fig. 2.3 Light trapping structure: (a) V-shape light trapping structure;15

and (b) resonant cavity-enhanced configuration by using high-reflectivity

mirror16

2.3.2 Bulk heterojunction

In a bi-layer planar structure, only the exciton within the distance of exciton

diffusion length from D/A interface could diffuse to interface, dissociate, separate, and

thus contribute to photocurrent, as shown in the left of Fig. 2.4. On the other hand,

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active organic layer needs to be thick enough to absorb the majority of incoming light.

One effective solution is to use bulk heterojunction structure as shown in the right of

Fig. 2.4. Bulk heterojunction structure is characterized by a 3-dimention interdigitate

D/A network, providing a large interface area for exciton to dissociate. As indicated

by dashed box, excitons are always generated within a diffusion length of a D/A

interface, which potentially leads to a higher cell efficiency than a planar

heterojunction. All the polymer OPV cells have bulk heterojunction structure by

nature. For small molecule OPV cell, special deposition techniques can be used to

produce bulk heterojunction structure, and significant improvements have been

achieved over their counterpart of planar structure.11, 13, 17, 17

ITO/Glass ITO/Glass

AgAg

donor

acceptor

ITO/Glass ITO/Glass

AgAg

donor

acceptor

Fig. 2.4 Schematic diagram of bi-layer planar heterojunction OPV cell

(left) and bulk heterojucntion OPV cell (right). Dashed yellow boxes indicate

the volume whitin exciton diffusion length from D/A interface.

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Most commonly-used small molecule materials can only absorb photons with energy

larger than 1.7eV. However, about half of sunlight occurs with photon energy smaller

than 1.7eV. Investigation of low-bandgap OPV cells is very active in recent years,

which could potentially be employed as a sub-cell for multi-junction OPV cell to

improve overall power conversion efficiency. Tin(II) phthalocyanine (SnPc),18

Chloroaluminum phthalocyanine (ClAlPc),19 and lead phthalocyanine (PbPc)20 were

demonstrated very promising as low-bandgap donor material.

2.4 Exciton binding energy

The exciton binding energy (EB) is one of the key parameters that govern the

operation of OPV cells. Exciton is a bound electron-hole pair, and EB is the energy

needed to separate an exciton into free electron and hole. Reported EB ranges from 0.4

to 1.4 for organic materials,21, 22 which is much larger than thermal energy at room

temperature, so exciton dissociation probability is pretty low in a homogeneous

organic material unless a strong electrical field is applied.13 In a typical efficient OPV

cells, donor-acceptor (DA) heterojunction interface is required in order to separate

excitons generated upon light absorption.

As shown in Fig. 2.5, exciton in donor (acceptor) material will dissociate at D/A

interface efficiently if the energy offset of LUMO, LUMOE ( HOMOE ), is larger than

the binding energy DBE , ( ABE , ). Otherwise, exciton dissociation is much less efficient.

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Therefore, by varying the energy offset between donor and acceptor, one could

measure exciton binding energy of a particular material roughly.

3,4,9,10-perylene tetracarboxylic bisbenzimidazole (PTCBI) is one of the most

important acceptor materials in small molecule OPV cells, and significant

improvement has been achieved for copper phthalocyanine (CuPc)/PTCBI

heterojunction structure.8, 11, 23 In this section, we use external quantum efficiency

(EQE) and photoluminescence to estimate the EB of PTCBI. The importance of energy

offset at DA interface of OPV cells is discussed.

EHOMO> EB, A ?

LUMO

HOMO

ELUMO> EB, D ?

Donor Exciton

LUMO

HOMO

ELUMO> EB, D ?

Donor Exciton Acceptor Exciton

Fig. 2.5 Schematic of energy band diagram of donor-acceptor

heterojunction. LUMOE and HOMOE are the energy offsets of LUMO and

HOMO between donor and acceptor respectively. DBE , and ABE , the binding

energy of exciton in donor and acceptor materials respectively.

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2.4.1 Theoretical estimation of EB

Exciton is created upon photon absorption by organic molecule, and then

followed by molecule adaptation from both surrounding molecules and excited

molecule itself. Therefore, EB consists of two parts: electrostatic potential due to

charge attraction between electron and hole, and relaxation energy due to molecule

adaptation. The size of many popular small molecules, such as PTCBI, C60, CuPc,

and boron subphthalocyanine (SubPc), is on the order of 1 nm. For a Frenkel exciton,

where exciton exists on one single molecule, electron and hole are separated by 1nm

or so. Electrostatic potential of exciton is estimated to be 0.4±0.1eV by

using reE 02 4/ , given dielectric constant of organic materials is 0 = 3-4.

Lattice relaxation energy can be estimated from the energy shift between

absorption peak and photoluminescence peak, so-called Franck-Condon principle as

shown in Fig. 2.6a. Under illumination, organic molecule could be excited to different

energy levels of exciton state, which is corresponding to the multiple absorption peaks,

and then it would relax back to the lowest energy level of the exciton state by thermal

vibration. As next step, the molecule could further relax due to molecule adaptation to

exciton state, which creates Franck-Condon shift, the difference between the lowest

absorption peak and the highest luminescence peak. Fig. 2.6b shows the absorbance

and photoluminescence of PTCBI thin film deposited on glass subtract. The lowest

absorption peak of PTCBI is located at 1.85eV ( = 672nm), while the

photoluminescence peak is at 1.58eV ( = 785nm). The Franck-Condon shift, 1.85-

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1.58 = 0.27eV, represents lattice relaxation energy. Therefore, EB of PTCBI is

estimated to be 0.7±0.1eV by including both electrostatic potential and molecule

relaxation energy.

Relaxation

Ground State

Exciton State

Ene

rgy

Nuclear Coordinates

AbsorptionLuminescence

1.5

1.8

2.1

2.4

2.7

1.58eV

1.85eV

Photon Energy (eV)

Absorbance/Photoluminescence (a.u.)

Absorbance Photoluminescence

Fig. 2.6 (a) Schematic of Franck-Condon principle. (b) Absorbance and

photoluminescence as a function of photon energy for PTCBI. Lowest

absorption peak and photoluminescence peak were indicated at 1.85eV and

1.58eV, respectively.

2.4.2 Measurement from EQE of OPV cell

Bi-layer small molecule OPV cells were made as a detector to probe EB of

PTCBI. CuPc and SubPc were used as donor material. ΔEHOMO of CuPc/PTCBI is

(a) (b)

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0.9eV given HOMOCuPc = 5.2eV and HOMOPTCBI = 6.1eV,24 while ΔEHOMO of

SubPc/PTCBI is 0.5eV given HOMOSubPc = 5.6eV25 and HOMOPTCBI = 6.1eV. OPV

cells were fabricated on commercially obtained 130nm-thick ITO on glass (sheet

resistance <20/sq). All organic materials were obtained commercially and then

purified using thermal gradient sublimation. The organic thin films and metal cathode

were deposited at room temperature by thermal evaporation in high vacuum (~10-

7Torr). The layer structure of the devices is ITO/donor/PTCBI/bathocuproine

(BCP)/Ag. The Ag cathode was deposited through a shadow mask with circular

openings of 0.81 mm2. EQE was measured experimentally, and then fitted by transfer

matrix method developed for organic multilayer structure.26, 27

Fig. 2.7 shows measured EQE of SubPc/PTCBI cell, and fitting curves using

different surface recombination velocity from PTCBI, where surface recombination

velocity, S, indicates that how fast (or efficient) exciton would dissociate at the

interface and contribute to photocurrent. As seen in Fig. 2.7, the best fitting was

achieved when S = 0 is applied, which means the exciton from PTCBI would not

dissociate at SubPc/PTCBI interface. This is because the condition for exciton

dissociation is not satisfied since ΔEHOMO (0.5eV) of SubPc/PTCBI is smaller than EB

(0.7eV) of PTCBI. Fig. 2.8 shows the normalized optical field intensity and

normalized exciton concentration within the OPV structure of

ITO/SubPc/PTCBI/BCP/Ag under illumination at =585nm. Normalized exciton

concentration was plotted at different S. Exciton concentration at DA interface within

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PTCBI layer goes to zero when S is infinite, while it is proportional to normalized

field within PTCBI layer when S = 0.

400 500 600 700 8000.00

0.05

0.10

0.15

0.20

0.25

0.30

0

1x105

2x105

3x105

4x105

5x105

Increasing interfacedissociation efficiencyof exciton from PTCBI

(c

m-1)

EQ

E

Wavelength (nm)

measured EQE S=0 S=1 S=inf

LD

SubPc = 50A

LD

PTCBI = 30A

PTCBI abs

SubPc abs

Fig. 2.7 Measured external quantum efficiency (EQE) (open square) as a

function of wavelength for the device of ITO/11nm SubPc/20nm

PTCBI/13nm BCP/Ag. Fitted EQE curves with different surface

recombination velocity, S, for the exciton from PTCBI. S=0 yields the best fit

to the measured EQE. S was assumed infinite for the exciton from SubPc.

Exciton diffusion length is 50Å for SubPc and 30 Å for PTCBI, respectively.

Absorption coefficients of SubPc and PTCBI were plotted for reference.

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Our EQE measurement and fitting of ITO/CuPc/PTCBI/BCP/Ag (not shown)

indicates that S is infinite for CuPc/PTCBI interface, which is constant with others.26

This is naturally explained because ΔEHOMO (0.9eV) of CuPc/PTCBI is larger than EB

(0.7eV) of PTCBI. From the comparison between CuPc/PTCBI and SubPc/PTCBI,

energy offset of DA heterojunction of OPV cells is very important. On one hand,

energy offset can not be too small to dissociate exciton at DA interface, which

decreases photocurrent otherwise. On the other hand, smaller energy offset is expected

in order to have high VOC. Energy offset needs to be carefully optimized to maximize

PCE of OPV cells based on the knowledge of EB of organic molecules.

Sub

Pc

(11n

m)

ITO

Ag

BC

P (

13nm

)

PT

CB

I (20

nm)

Normalized Optical Field Intensity

Normalized Exciton Concentration optical field intensity S = inf S = 0 0 < S < inf

Fig. 2.8 Normalized optical field intensity and normalized exciton

concentration within the device of ITO/11nm SubPc/20nm PTCBI/13nm

BCP/Ag at wavelength =585nm. Normalized exciton concentration was

plotted by assuming different surface recombination velocity, S, for the

exciton from PTCBI.

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2.4.3 Measurement from photoluminescence

Photoluminescence was employed to further verify the EB of PTCBI. Fig. 2.9

shows photoluminescence as a function of wavelength for 10nm PTCBI film, 20nm

1:1 SubPc:PTCBI co-deposition film, and 20nm 1:1 CuPc:PTCBI co-deposition film.

As shown in Fig. 2.10, the films were deposited on glass substrates as described above,

and glass/organic interface is generally assumed to be non-quenching interface. The

films were excited by a laser at wavelength = 550nm and then photoluminescence

was recorded. As expected, 10nm PTCBI film has a photoluminescence peak at =

785nm. In a co-deposition film, two materials are mixed in molecular level, and the

feature size is significantly less than exciton diffusion length. Therefore, each exciton

generated upon illumination would have a chance to reach DA heterojunction interface

before it recombines. Exciton would dissociate efficiently into electron in the acceptor

and hole in the donor, if the condition for exciton dissociation is met, as shown in the

inset of Fig. 2.9.

As seen from Fig. 2.9, there is no measurable photoluminescence signal for

CuPc:PTCBI co-deposition film, where ΔEHOMO (0.9eV) of CuPc/PTCBI is larger than

EB (0.7eV) of PTCBI. This indicates that all the excitons from PTCBI generated upon

excitation were dissociated, which is consistent with the conclusion from EQE fitting.

However, for SubPc:PTCBI co-deposition film, significant PTCBI photoluminescence

was observed, where ΔEHOMO (0.5eV) of SubPc/PTCBI is smaller than EB (0.7eV) of

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PTCBI.. Therefore, most exciton from PTCBI could not dissociate at SubPc/PTCBI

interface. This is also consistent with our EQE measurement and fitting.

Fig. 2.9 Photoluminescence as a function of wavelength for 10nm

PTCBI film, 20nm 1:1 SubPc:PTCBI co-deposition film, and 20nm 1:1

CuPc:PTCBI co-deposition film. Inset: schematic of exciton dissociation at

donor-acceptor interface.

600 650 700 750 800 850

Ph

oto

lum

ine

sce

nce

Sig

na

l (a

.u.)

Wavelength (nm)

10nm PTCBI film 20nm SubPc:PTCBI

1:1 co-deposition film 20nm CuPc:PTCBI

1:1 co-deposition film

Δ

Δ

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Excitation Laser

= 550nmLuminescence

?

Fig. 2.10 Schematic of film structure for photoluminescence

measurement

2.4.4 Summary

In this section, we have theoretically estimated that EB of PTCBI is 0.7±0.1eV by

including both electrostatic potential and molecule relaxation energy. Experimental

evidence from both EQE and photoluminescence of donor/PTCBI confirmed that EB

of PTCBI is larger than 0.5eV and smaller than 0.9eV. EB of 0.7eV for PTCBI is

similar to previously reported values measured by UPS/IPES technique, for other

organic small molecules, such as 0.6eV for CuPc, 0.6eV for PTCDA (perylene-

3,4,9,10-tetracarboxylic -3,4,9,10-dianhydride), and 1.0eV for -NPD (N,N’-

diphenyl-N,N’-bis(l-naphthyl)-1,1’ biphenyl-4,4’ diamine).21 Generally, polymer has

smaller exciton binding energy than small molecule due to its longer conjugated

chain.22 At DA interface in an OPV cell, the initial separation between the electron in

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acceptor and the hole in donor after exciton dissociation is 4-5nm,12 and electrostatic

potential between them is about 0.1eV. Therefore, energy offset at DA interface could

potentially be 0.1eV smaller than EB without hurting exciton dissociation within OPV

cells significantly. Better understanding of exciton binding energy would facilitate

OPV design and thus help improve PCE of OPV cells significantly.

2.5 Exciton diffusion length

Exciton diffusion is a very critical step to generate photocurrent in an OPV cell.

Exponentially-measured exciton diffusion length (LD) is usually very short, 3-10nm to

be typical.26 Therefore, quantum efficiency of exciton diffusion is a major bottleneck

in planar bi-layer OPV cells. An improved understanding of exciton diffusion and the

development of organic materials and film structure with longer LD are anticipated.

Boron Subphthalocyanine Chloride (SubPc) is an interesting replacement for

CuPc because of its favorable energy level alignment.28, 29 SubPc also exhibits strong

absorption in the visible region and is suitable for use in tandem structures due to its

relatively narrow absorption spectrum. Optimized SubPc/C60 cell have efficiencies

that are nearly double that of comparable CuPc/C60 reference cells, mainly due to an

enhancement in VOC from 0.45V to ~1V. In this section, we measured LD of SubPc by

using EQE and photoluminescence (PL) quenching. It is found that LD of SubPc

depends on thin film structure strongly, varying from 1.5nm to 5nm.

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2.5.1 Measure LD by EQE

EQE is the ratio of the number of charge carriers collected by of the solar cell to

the number of photons of a given energy shining on the cell. EQE reflects the response

of a solar cell to the various wavelengths in the spectrum of light shining on the cell.

EQE at certain wavelength is generally measured by shining a mono-wavelength light

on both target cell and reference diode simultaneously. EQE of target cell can then be

calculated based the ratio of electrical signal between target cell and reference diode

and known EQE of reference diode.

Fig. 2.11 shows measured EQE in open square for two different devices: (a)

ITO/SubPc/PTCBI/BCP/Ag and (b) ITO/SubPc/C60/BCP/Ag. As seen in Fig. 211b,

EQE curve is closely related to the absorption curves for both donor and acceptor

materials. Experimentally-measured EQE curve can be fitted by using transfer matrix

method and exciton diffusion equation,26, 27 where exciton diffusion lengths of both

donor and acceptor are free parameters. Since the absorption spectrums of donor and

acceptor materials are often not overlapped, exciton diffusion lengths of donor and

acceptor are easy to decouple in the fitting.

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400 500 600 700 8000.00

0.05

0.10

0.15

0.20

0.25

SubPc/PTCBIL

ED = 50A

EQ

E

Wavelength (nm)

400 500 600 700 8000.0

0.1

0.2

0.3

0.4

SubPc/C60

EQ

E

(nm)

measured theory

SubPcC

60

LSubPc

D=45A

LC60

D=120A

Fig. 2.11 Measured EQE curve (open square) and theoretical fitting

(solid line) for (a) ITO/SubPc/PTCBI/BCP/Ag and (b)

ITO/SubPc/C60/BCP/Ag. Independent contributions from SubPc and C60 are

plotted as dashed lines in (b).

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Exciton diffusion length is measured to be 45A~50A by fitting both EQE of

SubPc/PTCBI and SubPc/C60 solar cells. The value is typical and comparable to

many small molecule OPV materials, such as 30A for PTCBI and 10nm for CuPc.

2.5.2 Measure LD by PL quenching

We have measured the exciton diffusion length, LD, of SubPc by using acceptor

material C60 to provide exticon quenching at the SubPc/C60 interface, and three

schematic film structures are shown in the left of Fig. 2.12. Glass/organic interface is

assumed to be non-quenching interface. The energy level diagram is shown in the

inset of Fig. 2.12. The two different structures were used to measure LD of SubPc, (a)

ITO/C60/SubPc and (b) ITO/SubPc/C60. The thickness of the quenching material is

thin enough so that the optical interference effect can be ignored. The exciton

concentration profile upon excitation within SubPc is illustrated within the film in the

left of Fig. 2.12.

Photoluminescence (PL) is measured upon excitation for each film stack as a

function of SubPc thickness. Excitation wavelength is chosen to minimize the

absorption of C60 and maximize the absorption of SubPc. PL1 is the PL signal of

SubPc/Substrate without quenching surface, and PL2 is the PL signal of either

SubPc/C60/Substarte or C60/SubPc/Substrate with quenching surface. No

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43

photoluminescence was detected from C60 films under the experimental conditions.

The ratio PL2/PL1 is plotted in the right of figure 2.12.

0 20 40 60 80 1000.0

0.2

0.4

0.6

0.8

1.0

glass/SubPc/C60

ITO/SubPc/C60

glass/C60/SubPc

SubPc C60

PL

Ra

tio

SubPc Thickness (A)

Experiment Data Model Fit, L

ED = 15A

Model Fit, LED

= 45A

Fig. 2.12 The PL intensity ratio PL1/PL2 of SubPc as function of

thickness of SubPc film (symbol). Fitted curves by using eq. (2.5) yields

LD=15A for solid line and LD=45A for dot-dashed line. Inset: schematic

energy level diagram of SubPc/C60 heterojunction.

Assume SubPc/C60 is the only sufficient quenching surface and the film is thin

enough so that uniform exciton generation throughout the thin film is applied. By

solving exciton diffusion equation, one can obtain

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44

)]/2exp(1[

)]/2exp(1[11

1

2

D

DDED

Ldd

LdL

PL

PL

(2.5)

where, ED is the fraction of excitons reaching the quenching interface. d is the film

thickness, and LD is the exciton diffusion length of the film. Assuming negligible self

absorption, the PL signal is proportional to the average exciton density. Hence, by

measuring the PL signal both in the presence (PL2) and absence (PL1) of a quenching

interface as a function of the film thickness, one could obtain LD by fitting PL2/PL1 to

eq. (2.5).

The fitted curves in the right of Fig. 2.12 yields LD = 45A for film structure of

ITO/SubPc/C60, which is the same deposition sequence as used in solar cell.

Therefore, the LD measurement result by PL is consistent with the result from EQE

fitting. However, the fitted LD is 15A for structure of ITO/C60/SubPc, which is three

times smaller.

In comparison with growing on ITO glass, SubPc tends to form different

morphology and crystalline structure when growing on glass with organic layers (e.g.,

C60 or PTCBI), which causes the discrepancy in PL measurement for two structures.

Dependence of exciton diffusion length on film crystalline structure and molecule

stacking has been reported as well.30 X-ray diffraction studies suggest that structural

disorder plays an important role30 In general, it is believed that exciton transport is

affected by molecular packing, disorder, presence of impurities and film morphologies.

Also, optical interference effect needs to be considered when measuring exciton

diffusion length experimentally.31, 32

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By using measured exciton diffusion length of SubPc, the contour of short current

density of SubPc/C60 cells was simulated as function of SubPc thickness and C60

thickness, as shown in Fig. 2.13. Also the short current density of the best SubPc/C60

OPV cell is plotted in the figure also.33 We can see that experimental result matches

simulation very well, which further confirm the exciton diffusion length is 45A-50A

for SubPc.

Fig. 2.13 Contour of short current density of SubPc/C60 cells as function

of SubPc thickness and C60 thickness.

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2.6 Exciton dissociation

D/A interface is essential location for exciton to dissociate and contribute to

photocurrent because of strong exciton binding energy in OPV cells. As I have

discussed in the section of exciton binding energy, the energy offset (ΔEHOMO or

ΔELUMO) of D/A interface needs to be larger than exciton binding energy in order for

exciton to dissociate efficiently. Therefore, larger energy offset is preferred for exciton

dissociation. However, energy offset will increase the voltage loss, and thus decrease

the efficiency of the cell. An optimal energy offset should be similar to the exciton

binding energy of the OPV materials, which will guarantee efficiency exciton

dissociation and minimize the voltage loss at the same time.

2.7 Charge separation

Immediately after exciton dissociation at D/A interface in OPV cells, the initial

separation between the electron in acceptor and the hole in donor for a GEHP is 4-

5nm,13 and Coulomb electrostatic potential between them is about 0.1eV. The primary

driving force to further separate the GEHP is the electrical field at the interface.

According to transitional metal-insulator-metal (MIM) model of OPV cells, doping

concentration of organic layer is negligible, and therefore, a uniform electrical field

throughout the device is expected. An electrical field of less than 105V/cm is obtained

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for a typical OPV cell.14 However, previous analysis indicates that such an electrical

field is not efficiency for GEHP separation, and majority of the GEHPs will

recombine at the interface.13

In fact, GEHP dissociation is very efficient for most efficient bi-layer OPV cells.

In these cases, both the donor and acceptor materials are usually unintentionally doped,

which will lead to a strong electrical field at D/A interface and assist GEHP

dissociation. Capacitance-voltage measurements were employed at a frequency of 10

kHz to determine the electrical doping concentrations in organic active layers. In the

inset of Fig. 2.14a, the C-V characteristics are shown for multiple devices with device

structure of ITO/PEDOT/SubPc/C60/BCP/Ag. The strong voltage dependence of the

capacitance indicates the presence of a depletion layer. The spatial profile of the

doping concentration was extracted as a function of depletion layer thickness by using

AoS

BdVCdAq

N/)/1(

222

(2.6)

where s is the dielectric constant, o is the permittivity of free space, A is the

area of the capacitor, and VA is applied voltage. Effective doping concentration NB, is

related to the p-type doping concentration in the donor material NA and the n-type

doping concentration in the acceptor material ND via Eq. (2.7). Therefore, NB is

determined by the layer with the lower doping concentration. Depletion layer

thickness, W, can be calculated from measured capacitance by using Eq. (2.8).

)( DA

DAB NN

NNN

(2.7)

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CAW os / (2.8)

Fig. 2.14 shows effective doping concentration of SubPc/C60 as a function of

depletion layer thickness for the structure of ITO/PEDOT/SubPc/C60/BCP/Ag. The

device has a minimum depletion layer thickness of 37 nm, and effective doping

concentration is evaluated as 3.5*1017cm-3. The schematics of energy band diagram

are shown in Fig. 2.14b and Fig. 2.14c for partially-depleted scenario at low bias and

totally-depleted scenario at high bias, respectively. Measured doping concentration

can be used to explain the different current-voltage behavior for the same device

structure.14 It turns out that significant doping in organic materials is essential for the

efficient operation of OPV cells. Table 2.1 summarizes measured effective doping

concentration for different donor/acceptor organic material systems. As rule of thumb,

doping concentration is 1017cm-3-1018cm-3 for many efficient OPV materials.

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33 36 39 42 45 48

1017

1018

1019

1020

1021

-4 -3 -2 -1 0 1

Total Depoletion

47nm

Applied Voltage (V)

Cap

acita

nce

Effective Doping Concentration: 3.5*1017cm-3

ITO/PEDOT/SubPc(11nm)/C60(35nm)/BCP(13nm)/Ag

Eff

ectiv

e D

opin

g C

once

ntra

tion

[cm

-3]

Depletion Layer Thickness [nm]

Fig. 2.14 (a) Effective doping concentration as a function of depletion

layer thickness. Inset: measured capacitance with applied voltage. (b)

Schematic energy band diagram when depletion happens within organic

layers at low bias. (c) Schematic energy band diagram after organic layers are

totally depleted at high bias.

-10 -5 0 5 10 15 20 25 30 35-8.5

-8

-7.5

-7

-6.5

-6

-5.5

-5

-4.5

-4

-3.5

position from junction(nm)

rela

tive

ener

gy le

vel(e

V)

LUMO

HOMO

EF

-10 -5 0 5 10 15 20 25 30 35-6.5

-6

-5.5

-5

-4.5

-4

-3.5

position from junction(nm)

rela

tive

ener

gy le

vel(e

V)

LUMO

HOMO

EF

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Table 2.1 Measured effective doping concentration

Donor/Acceptor Effective doping concentration (cm-3)

CuPc/PTCBI 8*1017

CuPc/C60 2*1017

SubPc/PTCBI 8*1017

SubPc/C60 3.5*1017

Many of the well-studied and efficient small molecule OPV cells have

unintentional doping occurred during either material synthesis or device fabrication.

Doping mechanism is not clear for most materials. However, for certain materials, one

could indeed add or remove doping intentionally and as a result the electrical

performance can be modified.14, 34

2.8 Charge collection

After exciton dissociation and GEHP separation, charges travel through either

donor or acceptor layer, and then get collected to contribute photocurrent by

corresponding electrodes. In a small molecule planar cell, efficiency of charge

collection is very high, ~100%. However, charges could be trapped or recombined

during collection for bulk heterojunction OPV cell, and efficiency depends on the

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51

morphologies of D/A interfaces. The morphologies should be optimized by overall

consideration of exciton dissociation, charge separation and charge collection.

2.9 Voltage loss

In previous sections, I have discussed the process and main aspect of photocurrent

generation. For OPV cell, another important issue is the open-circuit voltage of the

cell. The VOC of most small molecular weight OPV cells is <0.6V, so more than 1eV is

lost when compared with material optical gap which usually exceeds >1.6eV.

Improving VOC is a major issue in high efficiency OPV cells. Active research has been

conducting to understand the physical origin of open-circuit voltage in organic

heterojunction solar cells. Rather than due to the work function differences between

the metal electrodes, Voc is believed to originate from the difference between the

highest occupied molecular orbital (HOMO) of the donor material and lowest

unoccupied molecular orbital (LUMO) of the acceptor.

Recent studies in small molecule multilayer heterojunction devices and in polymeric

bulk heterojunction have confirmed that the magnitude of the open-circuit voltage

correlates with the energy difference between the HOMO of the donor and LUMO of

the acceptor, provided that good electrical contacts are formed between the electrodes

and the organic layers.35

Fig. 2.16 summaries band gap and Voc for the most popular inorganic solar cells and

organic solar cells. Voltage loss, which is defined as the difference between the optical

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52

band gap of active material and open-circuit voltage (Voc), ranges from 0.4-0.8V for

typical inorganic solar cells. It is noticed that high quality inorganic solar cells give

smaller voltage loss, while disordered inorganic solar cells cause larger voltage loss,

i.e., 0.8eV for amorphous silicon solar cells. However, voltage loss in organic

heterojunction solar cells, which consists of energy band offset between donor and

acceptor ( LUMOE and HOMOE in Fig. 2.15) and energy differences between quasi

Fermi levels and energy band edges( DFDHOMO EE ,, and AFALUMO EE ,, in Fig. 2.15),

is generally larger than 0.8V.

ELUMO

EHOMO

Voc ΔEDA

ELUMO, A

EF, A

EHOMO, D

EF, D

ELUMO

EHOMO

Voc ΔEDA

ELUMO

EHOMO

Voc ΔEDA

ELUMO, A

EF, A

EHOMO, D

EF, D

Fig. 2.15 Schematic energy band diagram of donor/acceptor

heterojunction

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53

As seen from Fig. 2.16, energy band offset, which is necessary for efficient exciton

dissociation, contributes the major part of the voltage loss. This is a big disadvantage

for OPV cells in comparison with inorganic solar cells. However, energy band offsets

in most current DA system are about or even larger than 1eV, which is more than

necessary according to our discussion in previous section. Voc and therefore power

conversion efficiency could gain significant enhancement if energy band offsets could

be decreased further down, e.g., 0.5eV, without harming exciton dissociation for most

systems.

Fig. 2.16 Voltage loss for different solar cell material systems

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Several approaches have been proposed to explain the origin of Voc in organic solar

cells.35, 36 Nevertheless, a fast growing body of evidence is showing that VOC does not

depend on the work functions of the anode and the cathode, but stems from ΔEDA, the

difference between EHOMO,D and ELUMO,A.36-38 The establishment of an analytical

relationship between VOC and ΔEDA is complicated by several factors. The dark current,

photoconductivity, temperature, short circuits, carrier recombination, resistance related

to thickness and geometry all affect the experimental VOC values in a convoluted way.

Generally, linear relationship between VOC and ΔEDA holds. The higher ΔEDA is, the

higher the VOC is.

0.4 0.6 0.8 1.0 1.2 1.40.0

0.2

0.4

0.6

0.8

1.0

1.2

Op

en

Cir

cuit

Vo

ltag

e,

Vo

c (V

)

Interface Gap, EDA

(eV)

CuPc/PTCBI CuPc/TC-PTCDI CuPc/PTCDA CuPc/C60 SubPc/PTCBI SubPc/TC-PTCDI SubPc/PTCDA SubPc/C60 Pentacene/C60 NPD/C60 ClAlPc/C60

Fig. 2.17 Open circuit voltage as function of interface gap for various

small molecule OPV cells. Dashed line indicates Voc = ΔEDA/e - 0.35.

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55

Fig. 2.17 shows the dependence of VOC on ΔEDA at RT under ~1sun illumination for

various DA heterojunction cells. The linear relationship can be explained by classic

semiconductor physics. As discussed earlier, heavy doping is present in most efficient

small molecule solar cells. Therefore, Fermi level can be calculated by classic

semiconductor physics formula for both donor and acceptor, and the built-in voltage,

Vbi, the difference between the Fermi Levels, will reflect VOC of the heterojunction.

))ln(())ln(()()( ,,CV

DAALUMOFAFDDHOMODA NnkTN

pkTEEEEEEqVoc

(2.9)

where, EF,D and EF,A are the Fermi levels of donor and acceptor, and NV and NC are the

carrier density of state of EHOMO,D and ELUMO,A, respectively. The size of small

molecules is about 1 nm cube, and each molecule can sustain one free carrier.

Therefore, NV = NC = 1021cm-3 is reasonable assumption. p and n are the free carrier

concentration of donor and acceptor, respectively, which is found to be around

1018cm-3 for many efficient small molecule bi-layer solar cells.13, 14

Using these values, the dependence of VOC on ΔEDA can be estimated by an empirical

relationship. As shown in the Fig. 2.17, the dash line stands for 35.0 DAEqVoc

with p = n = 1018cm-3. Most systems fall around the line, which indicates good match

between estimation and experimental value.

Having understood the origin of VOC, materials with high EG and DA pair with small

ΔELUMO or ΔEHOMO are desired for larger VOC. Although high ΔEDA=EG,D-ΔELUMO

contribute to high VOC, ΔELUMO need to be large enough to dissociate excitons as we

discussed in the earlier section. High EG is beneficial for high VOC while photons with

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56

low energy could not be absorbed by high EG materials. Cells with high EG and/or

small ΔELUMO could give high VOC, but JSC could be low39 and thus EG and energy

offset ΔE are carefully optimized for high efficiency.

2.10 Efficiency estimation

As we explained in the previous section, EG is closely related to JSC and VOC, and thus

PCE in an OPV cell. Low EG materials can lead to high JSC due to absorption in broad

spectrum but VOC could be low. On the other hand, high EG materials could lead to low

JSC and high VOC. In this section, I will estimate the PCE as a function of optical band

gap, EG. This model assumes the same band gap EG for both donor and acceptor, and

perfect absorption above EG. The photocurrent under short-circuit conditions can be

expressed,

dSqJ EQESC )( (2.10)

where S(λ) is the AM1.5 solar spectrum expressed in number of photons per unit area

per unit time per unit wavelength. %85 IQEEQE is assumed based on perfect

absorption, and IQE is a cumulative parameter to reflect overall intrinsic process to

photocurrent generation after absorption.

Then VOC is defined by the empirical relationship Eq. (2.11) we concluded from

experimental data based on various organic donor/acceptor pairs.

35.0 DAEqVoc (2.11)

where DAE is the interface gap, and is evaluated by using Eq. (2.12).

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57

LUMOGDA EEE (2.12)

Based on our estimation of exciton binding energy and reported value for OPV

materials, eVEE HOMOLUMO 5.0 is further assumed for efficient exciton

dissociation at D/A interface. The relationship is illustrated in Fig. 2.18.

PCE of a single junction OPV cell can then be obtained using

in

OCSCP P

FFVJ (2.13)

where Pin is incident power of light, which is 100mW/cm2 for AM1.5G, and

65.0FF is assumed.8

ELUMO = 0.5eV

EHOMO = 0.5eV

EDA

Voc =

EDA - 0.35eV

ELUMO = 0.5eV

EHOMO = 0.5eV

EDA

Voc =

EDA - 0.35eV

ELUMO = 0.5eV

EHOMO = 0.5eV

EDA

Voc =

EDA - 0.35eV

Fig. 2.18 Assumption of efficiency simulation

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58

0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.50.0

2.0

4.0

6.0

8.0

10.0

12.0

Eff

icie

ncy

(%

)

Band Gap, Eg (eV)

11.6% @Eg=1.65eV

XS1

XS2

XS3XS4

XS5

X P1

X P2

X P3

X P4

X

P6

P5

S6

0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.50.0

2.0

4.0

6.0

8.0

10.0

12.0

Eff

icie

ncy

(%

)

Band Gap, Eg (eV)

11.6% @Eg=1.65eV

0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.50.0

2.0

4.0

6.0

8.0

10.0

12.0

Eff

icie

ncy

(%

)

Band Gap, Eg (eV)

11.6% @Eg=1.65eV

XS1

XS2

XS3XS4

XS5

X P1

X P2

X P3

X P4

X

P6

P5

S6

Fig. 2.19 Simulated efficiency as a function of optical band gap. Best

efficiency of 11.6% is predicted at band gap equals 1.65 eV. Significant

development work is shown on the plot for both small molecule and polymer

OPV cells.

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Table 2.2 Significant development work of OPV cells

Label Material and Cell Structure Year

S1 CuPc/PTCBI planer cell 1986

S2 CuPc/PTCBI planer w/ light trapping cell 2000

S3 CuPc/PTCBI bulk heterojunction cell 2004

S4 CuPc/C60 planer cell 2001

S5 CuPc/C60 bulk heterojunction cell 2007

S6 Small molecule tandem cell by Heliatek 2010

P1 PPV/PCBM polymer cell 1995

P2 MDMO-PPV/PCBM polymer cell 2001

P3 P3HT/PCBM polymer cell 2005

P4 PCDTBT/PCBM polymer cell 2009

P5 PBDTTT-CF/PCBM polymer cell 2009

P6 polymer cell by Solarmer 2009

As shown in Fig. 2.19, the optimized single junction OPV cell has a peak at ηP=11.6%

when EG=1.65eV, JSC=22.3mA/cm2 and VOC=0.80V. When EG is high, photocurrent

will decrease and limit the PCE. If EG is low, VOC will limit the PCE. Some significant

development work in both small molecule and polymer OPV cells has been labeled in

Fig. 2.19, and material/cell structure and year are summarized in Table 2.2.

In comparison with theoretical maximum efficiency of inorganic single junction cell,

the requirement of D/A interface energy offset in OPV cells limits the maximum

efficiency significantly. Peak efficiency happens at EG=1.65eV, which means the

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60

photon with energy less 1.65eV could not be absorbed. About half of the sunlight

energy is wasted. Multi-junction OPV cell is a promising approach to address the issue.

2.11 Conclusion

The chapter discusses cost analysis of OPV module, operation mechanism of OPV cell,

and some fundamental physics problem underlying the operation. In the end,

achievable PCE of single junction OPV cells is estimated by using the parameters

concluded from the study.

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22. Knupfer, M. Exciton binding energies in organic semiconductors. Appl. Phys.

A 2003,77,623-626.

23. Peumans, P.; Uchida, S.; Forrest, S. R. Efficient bulk heterojunction

photovoltaic cells using small-molecular-weight organic thin films. Nature

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24. Antoine Kahn, Norbert Koch,Weiying Gao, Electronic structure and

electrical properties of interfaces between metals and pi-conjugated molecular films.

Journal of Polymer Science Part B: Polymer Physics 2003,41,2529-2548.

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25. Mutolo, K. L.; Mayo, E. I.; Rand, B. P.; Forrest, S. R.; Thompson, M. E.

Enhanced Open-Circuit Voltage in Subphthalocyanine/C60 Organic Photovoltaic

Cells. J. Am. Chem. Soc. 2006,128,8108-8109.

26. Peumans, P.; Yakimov, A.; Forrest, S. R. Small molecular weight organic

thin-film photodetectors and solar cells. J. Appl. Phys. 2003,93,3693-3723.

27. Pettersson, L. A. A.; Roman, L. S.; Inganas, O. Modeling photocurrent

action spectra of photovoltaic devices based on organic thin films. J. Appl. Phys.

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28. Mutolo, K. L.; Mayo, E. I.; Rand, B. P.; Forrest, S. R.; Thompson, M. E.

Enhanced Open-Circuit Voltage in Subphthalocyanine/C60 Organic Photovoltaic

Cells. J. Am. Chem. Soc. 2006,128,8108-8109.

29. Gommans, H. H. P.; Cheyns, D.; Aernouts, T.; Girotto, C.; Poortmans, J.;

Heremans, P. Electro-Optical Study of Subphthalocyanine in a Bilayer Organic Solar

Cell. 2007,17,2653-2658.

30. Rim, S.; Fink, R. F.; Schoneboom, J. C.; Erk, P.; Peumans, P. Effect of

molecular packing on the exciton diffusion length in organic solar cells. Appl. Phys.

Lett. 2007,91,173504-3.

31. Scully, S. R.; McGehee, M. D. Effects of optical interference and energy

transfer on exciton diffusion length measurements in organic semiconductors. J. Appl.

Phys. 2006,100,034907-5.

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32. Rim, S.; Peumans, P. The effects of optical interference on exciton diffusion

length measurements using photocurrent spectroscopy. J. Appl. Phys.

2008,103,124515-5.

33. Gommans, H. H. P.; Cheyns, D.; Aernouts, T.; Girotto, C.; Poortmans, J.;

Heremans, P. Electro-Optical Study of Subphthalocyanine in a Bilayer Organic Solar

Cell. Advanced Functional Materials 2007,17,2653-2658.

34. Werner, A. G.; Li, F.; Harada, K.; Pfeiffer, M.; Fritz, T.; Leo, K. Pyronin B

as a donor for n-type doping of organic thin films. Appl. Phys. Lett. 2003,82,4495-

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35. Potscavage, J.,W.J.; Yoo, S.; Kippelen, B. Origin of the open-circuit voltage

in multilayer heterojunction organic solar cells. Appl. Phys. Lett. 2008,93,193308.

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Genoe, J. Analytical model for the open-circuit voltage and its associated resistance in

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39. Uhrich, C.; Schueppel, R.; Petrich, A.; Pfeiffer, M.; Leo, K.; Brier, E.; Kilickiran,

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Reduced Bandgap. Advanced Functional Materials 2007,17,2991-2999.

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Chapter 3 Organic Solar Cells with Solution-Processed Graphene Transparent Electrodes

We demonstrate that solution-processed graphene thin films can serve as transparent

conductive anodes for organic photovoltaic cells. The graphene electrodes were

deposited on quartz substrates by spin-coating of an aqueous dispersion of

functionalized graphene, followed by a reduction process to reduce the sheet

resistance. Small molecular weight organic solar cells can be directly deposited on

such graphene anodes. The short-circuit current and fill factor of these devices on

graphene are lower than that of control device on indium tin oxide due to the higher

sheet resistance of the graphene films. We anticipate that further optimization of the

reduction conditions will improve the performance of these graphene anodes.

3.1 Introduction

Organic optoelectronic devices such as organic photovoltaic (OPV) cells,1, 2 organic

light-emitting diodes (OLEDs),3, 4 and organic photodetectors5, 6 have attracted interest

because they can be deposited on flexible, light-weight substrates using low-cost

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fabrication methods. An important aspect of optoelectronic thin-film devices is the

transparent, conductive electrode through which light couples in or out of the devices.

Indium tin oxide (ITO) is widely used but may be too expensive7 for an application

such as solar cells. Moreover, metal oxides such as ITO are brittle and therefore of

limited use on flexible substrates.8 A substitute for ITO with a similar performance but

lower cost is clearly needed. Recent work on solution-processed random meshes of

carbon nanotubes9-11 and metal nanowires12, 13 has resulted in solution-processed,

conductive, transparent electrodes with transparencies and sheet resistances that

approach or exceed that of ITO. However, the electrodes realized using the above

approaches have a roughness that is comparable or larger than a typical device

thickness, leading to frequent shorts.

3.2 Unique properties of gaphene

As shown in Fig. 3.1, graphene is a monolayer of carbon atoms densely packed into a

benzene-ring structure, which is the basic building block of graphite crystal, carbon

nano-tubes, fullerenes, and so on. For example, carbon nano-tubes are usually thought

of as graphene sheets rolled up into nanometer-sized cylinders. The two-dimensional

conductor graphene is a promising transparent conductor because of its optical and

electrical properties.14-16 However, Planar graphene itself has been presumed not to

exist in the free states in the past, being unstable with respect to the formation of

curved structures such as fullerenes and nano-tubes. In principle, electrons in

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individual graphene sheets delocalize over the complete sheet, providing ballistic

charge transport in an one-atom-thick material with very little optical absorption. In

practice, however, large-area graphene films produced via solution processing of

functionalized graphene contain multiple grain boundaries and incorporate lattice

defects and oxidative traps that increase the electrical resistance of the material. As a

result, the films must be made thicker than one atomic layer to obtain practical sheet

resistances. Recently, such graphene thin films were used as an anode in dye-

sensitized solar cells.17 In this work, we demonstrate that very thin films of graphene

can be used as anode in solid-state thin-film OPV cells with a performance that

approaches that of ITO while not exhibiting the roughness problems of carbon nano-

tube or metal nanowire meshes. The trade-off between transparency and sheet

resistance is also investigated.

Fig. 3.1 Graphite crystal and monolayer graphene

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3.3 Fabrication of large area graphene thin film

3.3.1 Fabrication method survey

Given the unique properties of graphene film, researchers have been trying to develop

various methods to make thin-films of graphene, such as the scotch tape-method14,

transfer-printing18, epitaxial growth19, 20, and so on.

3.3.1.1 Scotch tape method

The scotch tape method is first developed by Andre Geim and Konstantin

Novoselov,14 who won the Nobel Prize in Physics 2010 because of their

groundbreaking experiments regarding the graphene. Basically, one could start with a

piece of high quality graphite flake, and then repeatedly peel the flake off by using

scotch tape. As a result, few-layer graphene or single-layer graphene is created, which

could be used to study its electronic and optical properties. Fig. 3.2 shows graphene

film prepared by scotch tape method and corresponding device by using the film.

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Fig. 3.2 Graphene film and device made by scotch tape method

3.3.1.2 Transfer-printing

The method18, so called graphene-on-demand by cut-and-choose transfer-printing

(DCT), can be used to transfer a piece of high-quality graphene in a device active-area

on substrate, which is often a size of tenths of micrometers. As shown in Figure 3.3,

DCT uses pillars (protrusions) of a stamp to cut and exfoliate a high-quality graphene

piece (one piece per pillar) from graphite, and then inspects them. If an inspected

graphene is good, it will be printed on the device active-area of a wafer with high

placement precision. By using the method, working field-effect-transistors have been

achieved with good transport properties. Such an approach has the potential to build

graphene integrated circuits on large wafers.

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Fig. 3.3 Schematic of graphene-on-demand by cut-and-choose transfer-

printing (DCT)18

It is also known that Graphene can grow epitaxially on single crystal silicon

carbide substrates both in theory and in experiment 19, 20. However, all these methods

are not suitable for making low-cost, large-area graphene thin film. Solution process

was used to make transparent conductive graphene film in this work.

3.3.2 Solution-processed graphene film

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The graphene electrodes used in this work were deposited on quartz slides by

spin-coating dispersions of functionalized graphene in water, as shown in Fig. 3.4. The

functionalized graphene material was prepared through a modified Hummers method21,

22 as described elsewhere.23 Briefly, a graphite crystal was chemically oxidized by

treatment with various solutions of NaNO3, KMnO4, concentrated H2SO4 and 30 wt%

H2O2, washed with HCl and purified water, and ultrasonicated to exfoliate individual

graphene oxide sheets. This procedure produces a loose brown powder which can be

dispersed in water at loadings of up to ~15mg/mL. The spin-coating rate was

increased every 30s from an initial value of 500rpm to 800rpm to gradually spread the

water dispersion on the quartz, and finally to 1600rpm dry the film. Residual water

was removed by heating these films to 100C in a vacuum oven for several hours.

The resulting functionalized graphene films are not conductive and the material

must be reduced to obtain acceptable sheet resistances. The reduction process removes

oxidized functionalities from the film and partially restores electron delocalization,

increasing both the light absorption and electrical conductivity of the film. The

effectiveness of the reduction of functionalized graphene films by chemical and

thermal methods has been characterized17, 23 with chemical treatments being less

effective than thermal procedures. The dependence of optical and electrical properties

of reduced graphene film on the reduction process will be discussed elsewhere.23 In

this work, the graphene films were reduced either by vacuum annealing at 1100oC or

by a combination of a hydrazine treatment and Ar annealing at 400oC.

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Fig. 3.4 Schematic of preparing large area graphene thin film by solution

process

3.4 Properties of Solution-processed graphene film

3.4.1 Graphene film morphology

Figure 3.5a shows a typical atomic force microscopy (AFM) image of a

graphene film after reduction using a hydrazine treatment and Ar annealing with a

thickness <10nm. The surface of the film presents some corrugations that possibly

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arise from partial roll-up of the edges of individual graphene sheets. The root mean

surface roughness is Rq~3nm. Figure 3.5b shows the morphology of a thicker

graphene film (>10nm) exhibiting extended wrinkles leading to Rq~9 nm. In both

cases, the film surfaces are free from spikes which would lead to shorts in thin-film

optoelectronic devices. The thick, spin-coated conductive polymer buffer layer that is

used in devices with carbon nanotube or metal nanowire mesh transparent electrodes

is therefore not necessary to prevent shorts when using these graphene electrodes.

Since the film thicknesses exceed the thickness of a single layer of graphene, the films

used here consist mostly of multiple layers of graphene.

Fig. 3.5 AFM images for a reduced thin (<10nm) (a) and thick (>10nm)

(b) graphene film. The scan size is 3m in (a) and 8m in (b).

(a) (b)

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3.4.2 Electrical and optical properties of reduced graphene film

Figure 3.6 shows the optical transmittance (triangles, measured at =550nm) and

sheet resistance (circles) vs. thickness for graphene films reduced by both vacuum

annealing (open symbols) and a combination of a hydrazine treatment and Ar

annealing (closed symbols). The film thickness was measured using atomic force

microscopy across edges and steps in the films. The sheet resistance was measured in

a 2-electrode configuration and includes the contact resistance between the graphene

film and vapor-deposited gold electrodes used to probe the films. Both transmittance

and sheet resistance decrease with increasing film thickness. Reduction by vacuum

annealing produces graphene films with slightly better transparency and conductivity

compared to the films reduced using the hydrazine treatment and Ar annealing. For the

film thicknesses <15nm, the optical transmittance is >80%, while the sheet resistance

varies from 5k/sq to 1M/sq.

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0 5 10 15 20

50

60

70

80

90

100

103

104

105

106

107

Graphene filmQuartz substrate

1100oC vacuum annealingHydrazine + argon annealing

She

et R

esis

tanc

e (o

hm/s

q.)

Tra

nsm

ittan

ce (

%)

Graphene Film Thickness (nm)

Transmittance @ =550nm Sheet Resistance

Fig. 3.6 Transmittance at =550nm (triangles) and sheet resistance

(circles) as a function of the graphene film thickness for both reduction

methods: vacuum annealing at 1100oC (open symbols), and hydrazine

treatment and argon annealing at 400oC (filled symbols).

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102 103 104 105 106 107

20

40

60

80

100

Tra

nsm

ittan

ce (

%)

Sheet Resistance (ohm/sq.)

Fig. 3.7 Relationship between transmission and sheet resistance of

reduced graphene films

High resolution XPS analysis indicates that the majority of oxygen content is

decreased during the reduction of functionalized graphene film. Reduction process

increases the film absorption while recovering the conductivity of the film. Therefore,

optimal combination of transmission and electrical conductivity needs to be explored

for transparent conductor applications. As shown in Fig. 3.7, high transmission film

has the issue of high sheet resistance, while low resistance film suffers the problem of

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low transmission. To serve as a transparent electrode, the film is preferred to have

more than 80% of transmission.

The dependence of transmittance on wavelength is shown in Fig. 3.8 for three

graphene films with different thicknesses, reduced by the hydrazine treatment and

argon annealing. The optical transparency decreases monotonically for decreasing

wavelengths over the spectral range =400-1800nm.

400 800 1200 160060

70

80

90

100

Tra

nsm

ittan

ce (

%)

Wavelength (nm)

Film thickness 3.1nm 4.2nm 7.0nm

Fig. 3.8 Transmittance as a function of wavelength for graphene films of

various thicknesses. The graphene films were reduced by the hydrazine

treatment and argon annealing at 400oC.

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The sheet resistance of the graphene films shown here is much higher than that of

ITO films for the same transparency. This may be because the functionalized graphene

is not completely reduced. Furthermore, since he average size of the sheets was

(364120)nm measured along the longest axis, charge carriers have to hop between

individual flakes. Finally, the films are not uniform and thinner regions of the film

may act as bottlenecks that limit the overall in-plane conductivity. Further work is

required to optimize the process conditions for improved optical and electrical

properties.

3.5 OPV cells on graphene transparent electrode

3.5.1 Device fabrication

Bilayer small molecule organic photovoltaic cells were fabricated on graphene

films on quartz and on commercially obtained 130nm-thick ITO on glass (sheet

resistance <20/sq) as transparent anode. All organic materials were obtained

commercially and then purified using thermal gradient sublimation.24

The organic thin films and metal cathode were deposited at room temperature by

thermal evaporation in high vacuum (~10-7Torr). The layer structure of the devices is

anode/copper phthalocyanine (CuPc)/fullerene (C60)/bathocuproine (BCP)/100nm Ag,

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as shown in Fig. 3.9. The Ag cathode was deposited through a shadow mask with

circular openings of 0.81 mm2.

Fig. 3.9 Molecule structure of organic materials and device structure of

organic photovoltaic cell

3.5.2 OPV cell performance

The current density-voltage (J-V) curves were measured at room temperature

under 85mW/cm2 AM1.5G simulated solar illumination from a filtered 500W Xe arc

ITO or Graphene

CuPc (35nm)

C60 (50nm)

BCP (10nm)

Ag

Glass

C60

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lamp. The illumination intensity was measured using a calibrated silicon photodiode.

No corrections were made for the spectral mismatch.

The thickness of graphene films used to fabricate OPV cells is between 4nm and

7nm, and the corresponding values of the transmittance and sheet resistance are 85%

to 95%, and 100k/sq to 500k/sq, respectively. The J-V curves of a typical cell with

layer structure 35nm CuPc/50nm C60/10nm BCP on graphene and ITO are shown in

Fig. 3.10, where the graphene film was reduced by vacuum annealing. The short

circuit current density, JSC, open circuit voltage, VOC, fill factor, FF, and power

conversion efficiency, , are 2.1mA/cm2, 0.48V, 0.34, and 0.4%, respectively, for the

cell on graphene, and 2.8mA/cm2, 0.47V, 0.54, and 0.84%, respectively, for the cell on

ITO. The efficiency of the ITO control device is well below the best published data25,

26 for the materials system used, because the device structure and deposition

conditions were not optimized. In spite of different work functions of graphene (4.4-

4.65eV)27, 28 and ITO (4.5-5.1eV),29 the difference in VOC is <100mV. This indicates

that VOC is determined by the difference between Fermi levels of the unintentionally

doped donor (CuPc) and acceptor (C60) materials.30

The lower efficiency of the cell on graphene is mainly due to a reduced JSC and

FF compared to the cell on ITO, both of which are due to the high sheet resistance of

the graphene film. Furthermore, a smaller shunt resistance is seen for devices on

graphene electrodes, leading to an increase in current in reverse bias, in the dark and

under illumination. Using experimental data for cells on ITO, J-V curves for the cells

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on graphene can be reproduced by including an extra voltage drop due to a series

resistor to the voltage axis.

-0.4 -0.2 0.0 0.2 0.4 0.6-4

-2

0

2

4

6

ITO control device Graphene device

Ag electrodeBCPC60CuPcGraphene filmQuartz substrate

dark illuminated

Cur

rent

Den

sity

(m

A/c

m2 )

Voltage (V)

Fig. 3.10 Current density vs. voltage (J-V) curves for an OPV cell with

layer structure 35nm CuPc/50nm C60/10nm BCP/100 nm Ag on graphene

(circles) and ITO (squares) in the dark (filled symbols) and under 85mW/cm2

AM1.5G simulated solar illumination (open symbols). The sheet resistance

and transmittance of the graphene film are ~100k/sq and 95%, respectively.

Inset: Schematic of the cells.

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-0.4 -0.2 0.0 0.2 0.4 0.6-4

-3

-2

-1

0

1

2

3

-0.4 -0.2 0.0 0.2 0.4 0.6

Series resistor() Shunt resistor()110k 450k180k 450k420k Infinite

measure model

Cur

rent

Den

sity

(m

A/c

m2 )

Voltage (V)

ITO control Graphene 1 Graphene 2 Graphene 3

Fig. 3.11 J-V curves for OPV cells on ITO (squares) and three different

graphene films (circles, triangles, and inverted triangles) under AM1.5G

simulated solar illumination. Using the data for the cell on ITO, the J-V

curves of the cells on graphene are reproduced by adding a resistive voltage

drop to the voltage axis (solid line, dashed line, and short dashed line). The

series resistances used to obtain these fits, R1,fit=110k, R2,fit=180k and

R3,fit=420k, are very close to the measured sheet resistances of the

graphene films used: R1=75k-150k, R2=200k and R3=200k-3M,

respectively.

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As shown in Fig. 3.11, the modeled J-V curves match the experimental data of cells

on graphene. The series resistances used to obtain these fits, R1,fit=110k, R2,fit=180k

and R3,fit=420k, are very close to the measured sheet resistances of the graphene

films used: R1=75k-150k, R2=200k and R3=200k-3M, respectively.

3.6 Conclusion

In conclusion, we demonstrated that graphene thin films can be used as a

transparent conductive electrode for OPV cells. The graphene thin films were prepared

by solution processing of functionalized graphene followed by a reduction step to

improve the conductivity. For film thicknesses <15nm, the optical transmittance

is >80%, while the sheet resistance varies from 5k/sq to 1M/sq. Bilayer small

molecular weight OPV cells were demonstrated on 4nm to 7nm-thick graphene thin

films. Compared to control devices on ITO, it was shown that the lower JSC and VOC

are mainly caused by the high sheet resistance of the graphene thin films. Improved

graphene film treatments will be required to improve the sheet resistance without

compromising transmittance. In addition, processes need to be developed that are

compatible with low-cost flexible substrates.

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B.; Evmenenko G.; Wu S.; Chen S.; Liu C.; Nguyen, S. T.; Ruoff, R. S. Graphene-

Silica Composite Thin Films as Transparent Conductors. Nano Lett. 2007,7,1888.

16. Gomez-Navarro C.; Weitz, R. T.; Bittner, A. M.; Scolari M.; Mews A.; Burghard

M.; Kern K. Electronic Transport Properties of Individual Chemically Reduced

Graphene Oxide Sheets. Nano Lett. 2007,7,3499.

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17. Wang, X.; Zhi, L.; Mullen, K. Transparent, Conductive Graphene Electrodes for

Dye-Sensitized Solar Cells. Nano Lett. 2008,8,323-327.

18. Liang, X.; Fu, Z.; Chou, S. Y. Graphene Transistors Fabricated via Transfer-

Printing In Device Active-Areas on Large Wafer. Nano Letters 2007,7,3840-3844.

19. Varchon, F.; Feng, R.; Hass, J.; Li, X.; Nguyen, B. N.; Naud, C.; Mallet, P.;

Veuillen, J. -.; Berger, C.; Conrad, E. H.; Magaud, L. Electronic Structure of Epitaxial

Graphene Layers on SiC: Effect of the Substrate. Phys. Rev. Lett. 2007,99,126805.

20. de Heer, W. A.; Berger, C.; Wu, X.; First, P. N.; Conrad, E. H.; Li, X.; Li, T.;

Sprinkle, M.; Hass, J.; Sadowski, M. L.; Potemski, M.; Martinez, G. Epitaxial

graphene. Solid State Commun. 2007,143,92-100.

21. Hummers Wm. S.; Jr Preparation of Graphitic Oxide. J. Am. Chem. Soc.

1958,80,1339.

22. Hirata M.; Gotou T.; Horiuchi S.; Fujiwara M.; Ohba M. Thin-Film Particles of

Graphite Oxide 1: High-Yield Synthesis and Flexibility of the Particles. Carbon

2004,42,2929.

23. Becerril, H. A.; Mao, J.; Liu, Z.; Stoltenberg, R. M.; Bao, Z.; Chen, Y. Evaluation

of Solution-Processed Reduced Graphene Oxide Films as Transparent Conductors.

ACS Nano 2008,2,463-470.

24. Forrest, S. R. Ultrathin Organic Films Grown by Organic Molecular Beam

Deposition and Related Techniques. Chem. Rev. 1997,97,1793-1896.

25. Peumans, P.; Forrest, S. R. Very-high-efficiency double-heterostructure copper

phthalocyanine/C[sub 60] photovoltaic cells. Appl. Phys. Lett. 2001,79,126-128.

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26. Xue, J.; Uchida, S.; Rand, B. P.; Forrest, S. R. Asymmetric tandem organic

photovoltaic cells with hybrid planar-mixed molecular heterojunctions. Appl. Phys.

Lett. 2004,85,5757-5759.

27. Schroeder, P. G.; Nelson, M. W.; Parkinson, B. A.; Schlaf, R. Investigation of

band bending and charging phenomena in frontier orbital alignment measurements of

para-quaterphenyl thin films grown on highly oriented pyrolytic graphite and SnS2.

Surf. Sci. 2000,459,349-364.

28. Ago, H.; Kugler, T.; Cacialli, F.; Petritsch, K.; Friend, R. H.; Salaneck, W. R.;

Ono, Y.; Yamabe, T.; Tanaka, K. Workfunction of purified and oxidised carbon

nanotubes. Synth. Met. 1999,103,2494-2495.

29. Nuesch, F.; Rothberg, L. J.; Forsythe, E. W.; Toan Le, Q.; Gao, Y. A

photoelectron spectroscopy study on the indium tin oxide treatment by acids and

bases. Appl. Phys. Lett. 1999,74,880-882.

30. A. Liu, S. Zhao, S.-B. Rim, J. Wu, M. Könemann, P. Erk,P.Peumans, Control of

Electric Field Strength and Orientation at the Donor-Acceptor Interface in Organic

Solar Cells. Adv Mater 2008,20,1065-1070.

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Chapter 4 Organic Light-Emitting Diodes on Solution-Processed Graphene Transparent Electrodes

Theoretical estimates indicate that graphene thin films can be used as transparent

electrodes for thin-film devices such as solar cells and organic light-emitting diodes,

with an unmatched combination of sheet resistance and transparency. We demonstrate

organic light-emitting diodes with solution-processed graphene thin film transparent

conductive anodes. The graphene electrodes were deposited on quartz substrates by

spin-coating of an aqueous dispersion of functionalized graphene, followed by a

vacuum anneal step to reduce the sheet resistance. Small molecular weight organic

materials and a metal cathode were directly deposited on the graphene anodes,

resulting in devices with a performance comparable to control devices on indium-tin-

oxide transparent anodes. The outcoupling efficiency of devices on graphene and

indium-tin-oxide is nearly identical, in agreement with model predictions.

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4.1 Introduction

Organic light-emitting diodes (OLEDs) are a promising electronic display and solid-

state lighting technology because of their combination of high luminous efficiency and

compatibility with a wide variety of substrates. Extensive research efforts1-7 over the

last two decades have resulted in improvements in the luminous efficiency, lifetime,

and color gamut of both small molecular weight and polymer OLEDs since the

introduction of the bilayer organic electroluminescent heterostructure diode by C. W.

Tang.8

An important component of OLEDs is the transparent conductive electrode

through which light couples out of the devices. Indium-tin-oxide (ITO) is traditionally

used as transparent conductor, but has a number of disadvantages. First, ITO may be

too expensive9 for use in OLEDs for lighting because of the cost of Indium and the

low-throughput deposition process used. Second, metal oxides such as ITO (about

150nm thick to ensure electrical performance) are brittle and therefore of limited use

on flexible substrates.10 Third, Indium is known to diffuse into the active layers of

OLEDs, which leads to a degradation of performance over time.11 There is a clear

need for alternative transparent electrodes whose optical and electrical performance is

similar to that of ITO but without its drawbacks. Several alternative transparent

electrodes have been demonstrated, including other transparent conductive oxides,12, 13

very thin metal films,14 carbon nanotube (CNT) random meshes,7, 15 metal nanowire

random meshes16 and metal gratings.17 While substantial progress has been made,

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many issues remain to be addressed, such as performance, cost, lifetime, roughness,

manufacturability, etc. In this work, we demonstrate OLEDs on transparent graphene

electrodes, with a device performance that is competitive with that of control devices

on ITO.

4.2 Comparison of different transparent candidates

Graphene has promise as a transparent conductor because of its unique electronic

structure.18-20 In principle, charge carriers in an individual graphene sheet delocalize

over the entire sheet, and can travel thousands of inter-atomic distances without

scattering. Since graphene is a zero-gap semiconductor with a very high Fermi

velocity vF = 106m/s, individual graphene sheets have very high in-plane

conductivities.21 Graphene can be chemically doped at doping levels of Ni = 1012 cm-2

while maintaining charge carrier mobilities of μ = 105cm2/Vs or higher.20, 22, 23 Based

on these values, the sheet resistance of graphene is:

NNNeR

ish

4.621

(4.1)

where N is the number of monolayers of graphene. The sheet resistance of a graphene

film is plotted as a function of film thickness (assuming that each graphene layer is

0.34nm thick) in Figure 4.1, and compared to experimental data for ITO thin films24

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and other recently-developed alternative transparent electrodes such as CNT random

meshes,7, 25, 26 thin metal films,27, 28 metal gratings17 and Ag nanowire networks.29

1 10 10010-1

100

101

102

103

ITO_ref.24 CNT film 1_ref.25 CNT film 2_ref.7&26 Al thin film_ref.28 Metal grating_ref.17 Ag thin film_ref.27 Ag nanowire_ref.29

Graphene (calculation) Graphene (this work)

Ni = 3x1012cm-2

= 104cm2/Vs

Ni = 1012cm-2

= 2x105cm2/Vs

She

et R

esis

tanc

e (

/sq.

)

Thickness (nm)

Fig. 4.1 Film thickness dependence of sheet resistance for different

transparent conductors. Two limiting values were calculated for graphene

using = 2x105 cm2/Vs at Ni = 1012 cm-2 and = 104 cm2/Vs at Ni = 3x1012

cm-2. The thicknesses of the Ag nanowire film and metal grating are mean

thicknesses obtained by spreading the mass of the metal over the entire

substrate area.

A range of resistivities was calculated for graphene films by using the limiting values

for mobility and carrier density of = 2x105cm2/Vs and Ni = 1012cm-2, and =

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104cm2/Vs and Ni = 3x1012cm-2.22, 30 To achieve a sheet resistance of 10Ω/, >100 nm

thick films of CNTs and ITO are needed. In contrast, <10 nm of graphene is in theory

sufficient to achieve a sheet resistance <10Ω/. Only metal thin films and gratings

approach the sheet resistance of graphene for a thickness between 10 and 20 nm.

Figure 4.2 summarizes the optical transmission averaged over the 400-800 nm

spectral range weighted by the AM1.5G solar spectrum, as a function of sheet

resistance for different candidate transparent conductors for the structure

air/glass/transparent conductor/air or air/polyethylene terephthalate (PET)/transparent

conductor/air.7, 17, 25, 26, 29, 31 The sheet resistance of graphene was calculated as

described above assuming = 2x105cm2/Vs and Ni = 1012cm-2. The transmission of

graphene was calculated using the transfer matrix method32 and spectrally averaged as

described above. The literature reports a range of values for the optical properties of

graphene, varying from n = 2.0+1.1i 33 to n = 2.6+1.3i 34, 35 with the latter value being

that of graphite. A range of transmissivities was calculated for graphene using these

extreme values. This analysis shows that graphene has the potential to achieve a

superior combination of sheet resistance and solar averaged optical transmission.

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1 10 100 1000

40

50

60

70

80

90

100

ITO_ref.29 CNT film 1_ref.25 CNT film 2_ref.7&26 Ag grating_ref.29 (theory) Metal grating_ref.17 Ag thin film_ref.31 Ag nanowire_ref.29

Graphene (calculation) Graphene (this work)

PET

Glass

n = 2.6+1.3i

n = 2+1.1i

Ni = 1012cm-2

= 2x105cm2/Vs

Sol

ar T

rans

mis

sion

(%

)

Sheet Resistance (/sq.)

Fig. 4.2 Solar photon flux-weighted transmission vs. sheet resistance for

different transparent conductors. Two limiting lines of graphene film were

calculated by using two different refractive indexes n = 2.0+1.1i and n =

2.6+1.3i for graphene, assuming = 2x105 cm2/Vs and Ni = 1012 cm-2. Two

horizontal lines represent the transmission through bare glass (dashed line, n

= 1.463) and PET (Polyethylene terephthalate) (dotted line, n = 1.575) by

including Fresnel reflections at both the air/(glass or PET) and (glass or

PET)/air interfaces. Solar transmission is calculated by integrating the

product of the spectrally resolved transmittance with the spectrally resolved

AM1.5 photon flux over the spectral range of 400-800nm.

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As mentioned in chapter 3, various methods to make thin-films of graphene have

been developed such as the scotch tape-method18 and epitaxial growth,36 but these

methods are not suitable for low-cost, large-area applications. The graphene electrodes

used in this work were deposited on quartz slides by spin-coating water-based

dispersions of functionalized graphene (see Methods). The functionalized graphene

material was prepared through a modified Hummers method as described elsewhere.37,

38 The resulting functionalized graphene films must be reduced, increasing both the

light absorption and electrical conductivity of the film. High-temperature vacuum

annealing was used here, which was shown to be more effective than chemical

reduction methods.38, 39 The sheet resistance and solar transmittance of the resulting

films are plotted in Fig. 4.1 and Fig. 4.2 (crosses). The thickness of the graphene films

used is ~7nm, and the corresponding sheet resistance and transmission are ~800Ω/

and 82% at 550nm, respectively. The sheet resistance is >2 orders of magnitude higher

than our theoretical estimates because large-area graphene films produced via solution

processing of functionalized graphene contain multiple grain boundaries and

incorporate lattice defects and oxidative traps that limit charge carrier transport.40, 41

Graphene thin films have been used as an anode in dye-sensitized solar cells42 and

organic solar cells.39,43, 44 Electroluminescent thin-film devices have different

requirements for the transparent electrode because both carrier injection and light

outcoupling must be considered. OLEDs on ITO benefit from optical interference

effects in the ITO layer to control the outcoupling efficiency and radiation pattern.45-47

Here, we demonstrated OLEDs on graphene thin films with electrical and optical

performance comparable to that of control devices on ITO.

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4.3 Organic light-emitting diodes on graphene transparent electrode

4.3.1 OLEDs device fabrication

Small molecule organic light-emitting diodes were fabricated on graphene films

on quartz and on commercially obtained 130nm-thick ITO on glass (sheet resistance

<20/sq) as transparent anode, as shown in Fig. 4.3. The ITO substrates were cleaned

in acetone, and isopropyl alcohol followed by UV-ozone treatment for 15 minutes.

Poly(3,4-ethylenedioxythio- phene)poly(styrenesulfonate) (PEDOT:PSS) was spin-

coated on both graphene and ITO substrates followed by annealing in N2 glove-box

for 20 minutes. All organic materials were obtained commercially and then purified

using thermal gradient sublimation as least twice. The organic thin films and metal

cathode were deposited at room temperature by thermal evaporation in high vacuum

(~10-7 Torr). The deposition rate is 1-2 Å/s for organic materials, and 4-5 Å/s for metal

cathode. The layer structure of the devices is anode/Poly(3,4-ethylenedioxythiophene)

poly(styrenesulfonate) (PEDOT:PSS)/ N,N′-di-1-naphthyl-N,N′-diphenyl-1,1′-

biphenyl- 4,4′diamine (NPD)/ tris(8-hydroxyquinoline) aluminum (Alq3)/ lithium

fluoride (LiF)/Al. The Al cathode was deposited through a shadow mask with 1mm

diameter circular openings.

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Fig. 4.3 Molecule structure of organic materials and device structure of

organic light-emitting diodes

4.3.2 Device measurement

Current-voltage characteristics were measured using an HP 4145B semiconductor

parameter analyzer. Luminance was measured by a flat calibrated silicon photodiode

that captures light emitted within a cone of 55, and then adjusted to include un-

captured emissive power. For a Lambertian emission source, the power emitted within

a cone is:

)2cos1(2

sin*cos2

0 0

'''

dd (4.2)

The fraction of optical power emitted by the OLED that is captured by our photodiode

is:

%67))180cos(1(

))110cos(1(

90

55

o

o

o

o

(4.3)

ITO (130nm)/G (7nm) PEDOT (40nm)

NPD (50nm) Alq3 (50nm) LiF (0.5nm)

Al

Glass

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99

The luminous power reported is the value measured by the photodiode (corrected for

the spectral response of the photodiode), divided by the fraction captured (67%).

4.3.3 Device performance

Figure 4.4 shows the current density and luminance as a function of applied

forward bias for typical devices. OLEDs on graphene have a current drive and light

emission intensity comparable to control devices on ITO for current densities

<10mA/cm2. At current densities >10mA/cm2, the sheet resistance of graphene leads

to a voltage drop in the electrode. Luminance was measured by a flat calibrated silicon

photo detector that captures 67% of the emitted light (see Methods). The OLED turn-

on voltage (defined at 0.02cd/m2) at 4.5V and 3.8V, and reach a luminance of

300cd/m2 at 11.7V and 9.9V, for graphene and ITO anodes, respectively.

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100

0 5 10 15 2010-7

10-5

10-3

10-1

101

103

10-1

101

103

105

Lum

inan

ce (

cd/m

2 )

Cur

rent

Den

sity

(m

A/c

m2 )

Applied Voltage (V)

Graphene ITO control

Fig. 4.4 Current density (filled symbols) and luminance (open symbols)

vs. applied forward bias for an OLED on graphene (squares) and ITO

(circles), with OLED device structure

anode/PEDOT:PSS/NPD(50nm)/Alq3(50nm)/LiF/Al.

In Figure 4.5, the external quantum efficiency (EQE) and luminous power

efficiency (LPE) of both graphene-based and ITO-based OLEDs are shown. The

graphene-based OLED performance nearly matches that of the ITO control device

despite the higher sheet resistance and different workfunction39 of the graphene anode.

The conductive PEDOT:PSS layer further removes the effects of small differences in

workfunction that may exist between ITO and graphene.

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101

10-2 10-1 100 101 102 103 10410-2

10-1

100

0.0

0.3

0.6

0.9

1.2

1.5

Lum

inou

s P

ower

Effi

cien

cy (

lm/W

)

Ext

erna

l Qua

ntum

Effi

cien

cy (

%)

Current Density (mA/cm2)

Graphene ITO control

Fig. 4.5 External quantum efficiency (EQE) (filled symbols) and

luminous power efficiency (LPE) (open symbols) for an OLED on graphene

film (squares) and ITO glass (circles). The luminance, EQE, and LPE were

adjusted to reflect total front emission power according to the method

described in the Methods.

4.3.4 Device simulation

The nearly identical EQE is surprising because the fraction of optical power that

couples out of an OLED structure depends strongly on the thickness of the various

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102

layers.48, 49 As shown in Fig. 4.6, light generated in organic layer within OLEDs can

be distributed into air modes, substrate modes, wave-guided modes, surface plasmon

polariton modes, anode absorption and metal absorption, where only air modes are the

light coupling out of the device and available to measure by photo-detector.

Fig. 4.6 Schematic of light distribution of OLEDs. The light can be

distributed into air modes, substrate modes, wave-guide modes, surface

plasma modes, anode absorption and metal absorption.

The angular and spectral distribution of light emitted from the organic active layer

was modeled as described elsewhere.50 Based on measured light spectrum of

NPD/Alq3 OLED in Fig. 4.7, Fig. 4.8 shows the simulated optical power emitted into

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103

unbound (UB) air modes, substrate trapped (ST) modes, waveguided (WG) modes,

and surface plasmon polariton (SPP) modes at the metal cathode/organic interface.

The fraction of photons emitted into UB modes is the outcoupling efficiency. When

spectrally integrated, we find that 17% of the optical power couples out for this OLED

structure on both graphene and ITO, despite the differences in layer structure.47 The

detailed power distribution among different modes is summarized in Table 1.

200 300 400 500 600 700 800 900

0.0

0.2

0.4

0.6

0.8

1.0

Inte

nsity

(a.

u.)

Wavelength (nm)

501.24nm

ITO/NPD 80nm/Alq3 50nm/LiF 0.8nm/Al 50nm

Fig. 4.7 Measured light spectrum of OLED with the structure as shown

in the plot

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Table 4.1 Simulated fraction of emitted optical power into the various modes

supported by the OLED structures

Air Modes

ST Modes

WG Modes

SPP Modes

Anode Absorption

Metal Absorption

Graphene 16.54% 22.86% 15.15% 40.54% 4.01% 0.90%

ITO 17.05% 23.51% 14.59% 40.77% 3.19% 0.88%

Air Modes

ST Modes

WG Modes

SPP Modes

Anode Absorption

Metal Absorption

Graphene 16.54% 22.86% 15.15% 40.54% 4.01% 0.90%

ITO 17.05% 23.51% 14.59% 40.77% 3.19% 0.88%

400 500 600 7000.0

1.0

2.0

3.0

4.0 Graphene ITO control

Air Modes(~17%)

Sub Modes(~23%)

W/G Modes(~15%)

SP Modes(~41%)

x10-15

Nor

mal

ized

Fra

ctio

nal P

ower

Wavelength (nm)

Fig. 4.8 Simulated angularly-integrated spectral density of emitted power

into unbound (UB) air modes, substrate trapped (ST) modes, wave-guided

(WG) modes, and surface plasmon polariton (SPP) modes.

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Figure 4.9 shows the calculated spectrally-integrated power density of emitted

radiation per unit solid angle into UB optical modes at different azimuthal angles from

the surface normal. The emission pattern is nearly Lambertian for both graphene and

ITO-based OLEDs.

0.02

0.04

0.06

0

30

60

900.00

Lambertian

ITOGraphene

(b)

0.02

0.04

0.06

0

30

60

900.00

Lambertian

ITOGraphene

0.02

0.04

0.06

0

30

60

900.00

Lambertian

ITOGraphene

(b)

Fig. 4.9 Simulated spectrally-integrated emitted power per unit solid

angle for OLEDs on graphene film (blue dash-dotted line) and control ITO

(red solid line) glass. A Lambertian response (black dashed line) is plotted

for reference.

Figure 4.10 shows the simulated fraction of power emitted as a function of

wavelength and normalized in-plane wave-vector kxy for the OLED structure on

graphene and ITO (assuming a glass substrate). While the fraction of power emitted

into the various modes is nearly identical for devices on graphene and ITO (Fig. 4.8),

the power distribution patterns within each layer are quite different because of the

differences in layer structure. Specifically, the OLED structure on graphene does not

support a WG mode due to the thin overall dielectric structure.

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106

(a) ITO control

(b) Graphene

Wav

elen

gth

(n

m)

Air modes

ST modes WG modes

SPP modes

Normalized wave-vector kxy

(a) ITO control(a) ITO control

(b) Graphene(b) Graphene

Wav

elen

gth

(n

m)

Air modes

ST modes WG modes

SPP modes

Normalized wave-vector kxy

Fig. 4.10 The fraction of power emitted as a function of normalized in-

plane wave-vector kxy for all wavelengths between 400nm and 800nm for an

OLED on ITO (a) and graphene (b), with device structure

anode/PEDOT:PSS/NPD(50nm)/Alq3(50nm)/LiF/Al as shown in Fig. 4.3.

The fraction of power coupled to air modes, substrate modes, wave-guided

modes and surface plasmon polariton modes is evaluated by integrating the

power distribution over the appropriate ranges of the in-plane wave-vector

kxy.

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107

4.4 Status of graphene film by CVD

Based on the comparison of different transparent electrodes in section 4.2,

graphene thin film is one of the most promising candidates. Also, both organic

photovoltaic cells and organic light-emitting diodes have been demonstrated on

solution-processed graphene transparent electrodes with very comparable performance

as ITO control device. However, one of drawbacks of solution-processed graphene

film is high sheet resistance, as shown in Fig. 4.11 (blue crosses).

Very recently, Sukang Bae et. al. reported roll-to-roll production of very large area

graphene film (30in).51 Graphene is first grown on flexible copper substrate, and then

transferred to target substrate by using polymer support and etching of copper layer.

Graphene-based touch screen panel was demonstrated.

Transmittance of 97.4% and sheet resistance of 125 ohm/sq. was achieved for

monolayer graphene. Sheet resistance and transmittance for different number of

graphene layer was summarized in Table 4.2 and plotted in Fig. 4.11 (red circles). As

shown in the plot, graphene performance is approaching to theoretical estimation, very

comparable to ITO. This is very encouraging study for graphene transparent conductor.

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Table 4.2 Sheet resistance and transmittance for different number of graphene layer

Number of Graphene Layer Sheet Resistance (Ω/sq.) Transmittance (%)

1 125 97.4

2 67 95.1

3 42.8 92.9

4 30 90

1 10 100 1000

40

50

60

70

80

90

100

ITO (a) RGO (this work) CVD R2R doping Graphene (b)

PET

Glass

n = 2.6+1.3i

n = 2+1.1i

So

lar

Tra

nsm

issi

on

(%

)

Sheet Resistance (/sq.)1 10 100 1000

40

50

60

70

80

90

100

ITO (a) RGO (this work) CVD R2R doping Graphene (b)

PET

Glass

n = 2.6+1.3i

n = 2+1.1i

So

lar

Tra

nsm

issi

on

(%

)

Sheet Resistance (/sq.)

Fig. 4.11 The relationship of solar transmission vs. sheet resistance for

ITO and graphene films. Texture-filled area for theoretically-estimated

graphene, blue crosses for solution-processed graphene, and red circle for

CVD-growed graphene.

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109

4.5 Conclusion

In conclusion, we demonstrated that graphene thin films can be used as transparent

conductive anode in OLEDs. The graphene thin films were prepared by solution

processing of functionalized graphene followed by a reduction step to improve the

conductivity. The electrical and optical performance of a small molecule OLED on

graphene is similar to that of control devices on ITO despite marked differences in the

total thickness of the optical stack. The graphene film used in this work is ~7nm thick

and consists mostly of multiple layers of graphene. The film roughness is < 3nm,

which is adequate for use as an anode in OLEDs and organic solar cells. Both

transmittance and sheet resistance decrease with increasing film thickness. Thicker

graphene film would help reduce the sheet resistance but the increased optical

absorption due to the thicker film would decrease the photon outcoupling efficiency.

Further optimization of the graphene film quality and thickness may lead to improved

device performance. For graphene to become a viable alternative to ITO, further work

is needed to develop methods to deposit high-quality, thin layers of graphene on low-

cost plastic substrates in a cost-effective manner.52, 53

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Chapter 5 Modeling of Interface Morphology at Organic/Metal Interface

5.1 Introduction

Due to their exciting electronic, optical, and optoelectronic properties, organic

semiconductors have experienced a tremendous increase in research activity over the

last few years. Some organic electronic devices have been demonstrated, such as

organic light-emitting diode display (OLED), organic solar cell, organic thin film

transistor, and so on 1, 2. And some new structures, such as organic bistable device

(OBD), have been reported recently3, 4. Most these devices operate with one or several

functional organic layers with desired physical properties and metal-organic contacts

to inject/extract charge carriers. In some of these device geometries, metal is needed to

deposit on the top of the organic film. The proper function of the contact is critical for

the performance of the device, and it depends on the interfacial morphology of the

metal-organic interface. Until now, many experimental data has been reported. So it is

quite interesting and useful to simulate the interface morphology at organic/metal

interfaces.

In this chapter, a simple model is proposed to simulate the interface morphology when

metal atoms are deposited on the surface of organic thin film. We mainly discuss how

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the interface morphology depends on the conditions employed during deposition of the

metal layer, such as deposition rate, substrate temperature and drive-in potential, and

the properties of involved materials (e.g., diffusion coefficient).

5.2 Simulation method

5.2.1 Basic idea

Basically, when a metal atom is deposited on the organic surface, it has three

probabilities.5-8 First, metal atom has a chance to stick to organic molecule and does

not move any more, referring to stick probability. Second, metal atom can randomly

hop around on the surface, which results in diffusion coefficient on the surface, D//.

Third, metal atom can also hop down to penetrate the organic surface with diffusion

coefficient D, which happens along the boundary between organic molecules

generally. Therefore, random walk model (Monte Carlo) is employed to simulate the

diffusion processing of metal atoms. To start, let’s set up the workspace at first.

5.2.2 Simulation workspace

Assume that organic molecule is cubic and its size is 1nm*1nm*1nm. The molecules

are closely packed in simple cubic lattice, and dimension is 10*10*10, as shown in Fig.

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5.1 (a). And there are boundaries between organic molecules, along which metal atom

can diffuse with diffusion coefficient D. To simplify, I assume the surface of organic

film is flat.

(a) (b)

Fig. 5.1 Cubic array of organic molecules

Metal atom is much smaller than organic molecule, and I assume the dimension of

metal atom is 1Å*1Å*1Å. Metal atom can randomly arrive at the surface with

negligible initial velocity. Upon its arrival on the surface, it can either stick there or

hop around. Like atom 1 in Fig. 5.1 (b), it can hop to four nearest neighborhood sites

on the surface with certain diffusion coefficient (diffusion_on _surface), and each

hopping step is 1Å. When metal atom appears on the boundary region, like atom 2,

besides hopping on the surface, it can also hop down to penetrate the surface with

another diffusion coefficient (diffusion_ along_boundary). Once medal atom

penetrates the surface, it can still diffuse along the boundary in this model. If a metal

atom meets other atom(s), like atom 3, they will form a cluster, and diffusion

coefficient is expected to decrease significantly so that even small cluster may be

considered as immobile. So I assume they are immobile in my model when two metal

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atoms meet. By doing so, the disadvantage is that the shape of the cluster can not be

optimized to minimize the surface energy.

(a)

(b)

Fig. 5.2 (a) Schematic of metal atom diffusion direction; (b) Probability

distribution of each event on 1D axis

Stick probability

Down diffusion (+z)

Forward diffusion (-x)

Backward diffusion (+x)

Left diffusion (-y)

Right diffusion (+y)

Up diffusion (-z)

0 1

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5.2.3 Monte Carlo method

Generally, each metal atom can hop to the nearest neighborhood site along six

possible directions, as shown in Fig. 5.2 (a). The probability to each direction depends

on the hopping rate. By using equation (1) to normalize as follows,

N

i i

jj

R

RP

1

(5.1)

I get have the probability of each event. As shown in Fig. 5.2 (b), these probabilities

are put on the axis between 0 and 1, and hopping direction can be determined by

matching a random number to the axis.

5.3 Results and discussion

This section will mainly discuss how the interface morphology depends on the

conditions employed during deposition. Except for specification, only the metal atoms

below the surface are shown for all morphology figures, and the metal atoms above

the surface are not. The influence of stick probability is not considered in this

simulation, which is assumed to be zero.

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5.3.1 Substrate temperature / Deposition rate dependence

Substrate temperature and deposition rate are most important parameters controllable

during deposition. Higher temperature as well as lower deposition rate leads to larger

hopping rate, so atoms are expected to diffuse more before they meet other metal

atom(s) to form a cluster. And more atoms are expected to penetrate the surface under

higher substrate temperature and lower deposition rate.5

In this model, steps_of_walk represents metal diffusion steps on the surface during

unit time gap. And it will decrease by the ratio of diffusion coefficient on the surface

to that along the boundary while metal penetrates the surface and diffuses in the film.

Basically, high substrate temperature and/or low deposition rate can be achieved by

increasing steps_of_walk. As shown in Fig. 5.3 (a), the number and percent of atoms

penetrating the surface are calculated with increasing steps_of_walk, and the result is

the average over 100 simulations at each condition. As expected, the number of atoms

below the surface increases with increasing steps_of_walk when steps_of_walk is

relatively small. However, it does not change much when steps_of_walk is above

some number (10 in this simulation), and even decreases a little when steps_of_walk is

large.

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100 101 102 103 104 105

100

200

300

400

0.003

0.004

0.005

0.006

0.007

0.008

0.009

0.010

0.011

num

ber

of a

tom

s be

low

the

sur

face

steps_of_walkincreasing substrate temp. OR decreasing deposition rate

pe

rce

nt

(a)

(b) steps_of_walk = 10 (c) steps_of_walk = 1000

Fig. 5.3 Substrate temperature / deposition rate dependence. Region 1:

above surface; Region 2: organic film; Region 3: bottom electrode

① ② ③ ① ② ③

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(a) Tsub = -120oC, R = 23Å/min (b) steps_of_walk = 1

(c) Tsub = +70oC, R = 0.35Å/min (d) steps_of_walk = 10000

Fig. 5.4 Comparison with experimental data

The metal distribution profiles with different steps_of_walks are compared in Fig. 5.3

(b) and (c). The vertical axis is the number of metal atoms in log scale, and horizontal

axis is perpendicular to the film surface. The region 1, 2 and 3 are the region above

surface, within organic film and within bottom electrode, respectively. It is clear that

the metal atoms diffuse deeper in Fig. 5.3 (c), which is under higher substrate

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temperature and lower deposition rate. Appearance of periodic peaks in region 2 is due

to boundary planes at the corresponding locations, which are parallel to the surface.

Fig. 5.4 shows the comparisons between my simulations and experimental data.5

Deposition conditions for Fig. 5.4 (a) is Tsub = -120oC and R = 23Å/min, while

deposition conditions for Fig. 5.4 (c) is Tsub = +70oC and R = 0.35Å/min. Obviously,

organic film is quite clear with little metal clusters for Fig. 5.4 (a). However, a lot of

metal clusters appear in the organic film for Fig. 5.4 (c), which is due to higher

substrate temperature and lower deposition rate. As shown in Fig. 5.4 (b) and (d), my

simulation indicates very similar morphology by changing steps_of_walk. How to

relate simulation parameter to real deposition conditions (e.g., substrate temperature

and deposition rate) need to consider further.

5.3.2 Diffusion coefficient dependence

Hopping rate or diffusion coefficient is strongly influenced by the interaction between

the metal and the organic molecules. Metal atoms that interact more strongly on the

organic film may exhibit less inter-diffusion into the organic film (i.e., boundary

diffusion).

By increasing the boundary diffusion, more metal atoms diffuse into organic film, and

they diffuse deeper as shown in Fig. 5.5. It is reasonable because larger boundary

diffusion gives metal atom more chance to diffusion down to penetrate the surface.

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0 20 40 60 80 100 120 14010-1

100

101

102

103

104

bottom electrode

above surface organic film

num

ber

of m

eta

l ato

m

Z

boundary diffusion = 50 boundary diffusion = 20

Fig. 5.5 Diffusion coefficient dependence. Keeping surface diffusion =

100, boundary diffusion is increased from 20 to 50.

5.3.3 Effect of drive-in potential

Sometimes, potential drive-in force may influence the interface morphology, such as

electrical field, magnetic field, and so on. It can be intended or occasional. It is

interesting to simulate its influence.

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(a) morphology without drive-in (b) morphology with drive-in

(c) metal distribution profile without

drive-in

(d) metal distribution profile with drive-in

Steps_of_walk = 100

Total deposition layer = 5

Atom below surface = 380.51 ± 28.71

Percent = 0.0076 ± 0.0006

Steps_of_walk = 100

Total deposition layer = 5

Atoms below surface = 2169.60 ± 97.31

Percent = 0.0434 ± 0.0019

Fig. 5.6 Influence of drive-in potential

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Fig. 5.6 shows the influence of drive-in potential on metal clusters morphology below

the surface and metal atom profile. Compared to Fig. 5.6 (a) and (c), some kind of

drive-in force is employed in Fig. 5.6 (b) and (d) to double the downward diffusion

coefficient while keeping other parameters the same. Clearly, the drive-in potential

can make a big difference. As shown in Fig. 5.6 (b), much more metal atoms will

penetrate the surface, diffuse down, and eventually stick to the bottom electrode under

drive-in potential. The number of atoms below the surface increases by more than 5

times from Fig. 5.6 (a) to Fig. 5.6 (b). This phenomenon can be utilized or avoided

depending on applications.

By tracking the diffusion path of metal atom, one can come up some idea about how

the drive-in potential influences morphology. Fig. 5.7 shows all metal atoms

depositing on the surface. Upon arrival on the surface in Fig. 5.7 (a), the metal atom

will hop around and spend much time on the surface, and eventually stick to other

atom(s) to form cluster, as shown in red. However, in Fig. 5.7 (b) with drive-in

potential, the metal atom is quite easy to penetrate the surface, diffuse down and stick

to bottom electrode.

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(a) without drive-in potential (b) with downward drive-in potential

Fig. 5.7 Track of diffusion. Diffusion path start from black dot and stop

at green dot.

5.3.4 Saturated metal atom within film

When more and more metal atoms are deposited, most atoms will stick to other atom(s)

to form a cluster upon their arrival on the surface and have no chance to diffuse further

into organic film. Therefore, atoms below the surface will almost keep constant when

deposited atoms are more than one nominal metal layer, as shown in Fig. 5.8.

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0.01 0.1 1 100

50

100

150

200

250

300

350

400

450

0.0

0.1

0.2

0.3

0.4

0.5

0.6

perc

ent

num

ber

of a

tom

s be

low

sur

face

nominal deposition layer

Fig. 5.8 Number and percent of atoms below surface with increasing

deposition layer

5.3.5 Cluster size on surface

Now assuming that metal atoms only hop around on the surface and do not hop down

to penetrate the surface. When depositing the same number of metal atoms, high

deposition rate will result in many small clusters as shown in Fig. 5.9 (a), however,

low deposition rate will lead a few big clusters as shown in Fig. 5.9 (b). At low

deposition rate, metal atom has more time to hop around and finally stick to an existed

cluster. At high deposition rate, metal atom has a big chance to meet a newcomer to

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form an additional cluster, which is account for larger cluster number and small cluster

size.

(a) high deposition rate (b) low deposition rate

Fig. 5.9 Deposition rate dependence of surface morphology

5.4 Conclusion

In this chapter, a random walk model is proposed to simulate the interface morphology

when depositing metal atoms on the organic film. The paper mainly discusses the

influences of substrate temperature, deposition rate, diffusion coefficient and drive-in

potential. In comparison with experimental data, this simple model gives reasonable

interface morphology and metal distribution profile. Here are some main conclusions.

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1. Decreasing deposition rate or increasing substrate temperature will drive metal

atoms into the organic film deeper, but the number of metal atoms below the

surface will not monotonously increase with decreasing deposition rate;

2. Drive-in potential can make a big difference for interface morphology and

metal atoms distribution profile;

3. The larger the diffusion coefficient along the boundary is, the more metal

atoms are driven below the surface and the deeper;

4. After depositing one nominal metal layer, the atom number below the surface

is almost the constant and will not monotonously increase as before;

5. Considering metal atoms morphology on the surface, fast deposition rate will

give many small metal clusters, while low deposition rate will result in less big

metal clusters.

In the end, some ideas are proposed as below and further work can be done based on

this model.

1. How to relate the simulation parameters to the real properties of employed

materials, such as atom hopping rate, diffusion active energy, and so on.

2. More simulations can be done by optimizing the shape of metal cluster to

account for surface energy and changing the shape and array of organic

molecules to approach the reality.

3. In present model, substrate temperature and deposition rate are controlled by

one parameter. However, the interaction between metal and organic may

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change with temperature, and higher temperature may enhance the diffusion

coefficient to penetrate the surface. So substrate temperature and deposition

rate should be varied separately to account for this.

4. The influences of surface roughness and stick probability need consider.

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