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    Nanotechnology Application for

    Solar Cells: Using Quantum Dotsto Modify Absorption Properties

    Prepared by

    James Fodor

    Kwok Mak

    Viet Huynh

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    Introduction

    How Classical Solar Cells Operate Absorption Coefficient ()

    Definition and Relevance of Physical Techniques for Measuring

    Light Absorption of Quantum Dot Layers Reasons for Interest Into Quantum Dot Light Absorption Definition of a Quantum Dot Formula for Light Absorption of a Quantum Dot Comparison of versus Energy for Bulk Material and Quantum Dot

    Researchers working on Light Absorption of Quantum Dots Dr. Sheila Baily Dr. Ryne Raffaelle

    Problem Statement Determining the most optically absorbent

    semiconductor material Problem Solution

    Explanation of Theory Results

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    Introduction

    How Classical Solar Cells Operate Absorption Coefficient ()

    Definition and Relevance of

    Physical Techniques for Measuring

    Light Absorption of Quantum Dot Layers Reasons for Interest Into Quantum Dot Light Absorption

    Definition of a Quantum Dot Formula for Light Absorption of a Quantum Dot

    Comparison of versus Energy for Bulk Material and Quantum Dot

    Researchers working on Light Absorption of Quantum Dots Dr. Ryne Raffaelle Dr. Sheila Baily

    Problem Statement Determining the most optically absorbentsemiconductor material

    Problem Solution Explanation of Thoery Results

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    How Classical Solar Cells Operate1,2

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    How Classical Solar Cells Operate1,2

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    How Classical Solar Cells Operate1,2

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    How Classical Solar Cells Operate1,2

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    How Classical Solar Cells Operate1,2

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    How Classical Solar Cells Operate1,2

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    How Classical Solar Cells Operate1,2

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    How Classical Solar Cells Operate1,2

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    Introduction

    How Classical Solar Cells Operate Absorption Coefficient ()

    Definition and Relevance of

    Physical Techniques for Measuring

    Light Absorption of Quantum Dot Layers Reasons for Interest Into Quantum Dot Light Absorption

    Definition of a Quantum Dot Formula for Light Absorption of a Quantum Dot

    Comparison of versus Energy for Bulk Material and Quantum Dot

    Researchers working on Light Absorption of Quantum Dots Dr. Ryne Raffaelle Dr. Sheila Baily

    Problem Statement Determining the most optically absorbentsemiconductor material

    Problem Solution Explanation of Thoery Results

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    Absorption Coefficient

    Definition and Relevance of3

    Definition of Absorption Coefficient

    A measure of the rate in decrease ofelectromagnetic radiation (as light) as

    it passes through a given substance;the fraction of incident radiant energyabsorbed per unit mass or thickness ofan absorber.

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    Absorption Coefficient

    Definition and Relevance of3

    Unit of Absorption Coefficient

    The units of are per length (cm-1)

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    Absorption Coefficient

    Definition and Relevance of3

    Unit of Absorption Coefficient

    The units of are per length (cm-1)

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    Absorption Coefficient

    Definition and Relevance of4

    Absorption Versus Transmission

    Transmission (t): a measure of conduction of

    radiant energy through a medium, often

    expressed as a percentage of energypassing through an element or system

    relative to the amount that entered.

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    Absorption Coefficient

    Definition and Relevance of4

    Absorption Versus Transmission

    Transmission (t): a measure of conduction of

    radiant energy through a medium, often

    expressed as a percentage of energypassing through an element or system

    relative to the amount that entered.

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    Absorption Coefficient

    Definition and Relevance of4

    Absorption Versus Transmission

    Transmission (t): a measure of conduction of

    radiant energy through a medium, often

    expressed as a percentage of energypassing through an element or system

    relative to the amount that entered.

    0 0.2 0.4 0.6 0.8

    2

    4

    6

    8

    1010

    0

    t( )

    10 t

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    Absorption Coefficient

    Physical Techniques for Measuring 5,6

    Optical Transmission Measurement

    t Measured transmission

    l Sample thickness

    R - Reflectance

    t1 R( )2 e

    l

    1 R2

    e2 l

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    Introduction

    How Classical Solar Cells Operate Absorption Coefficient ()

    Definition and Relevance of

    Physical Techniques for Measuring

    Light Absorption of Quantum Dot Layers Why We Are Interested

    Definition of a Quantum Dot Formula for Light Absorption of a Quantum Dot

    Comparison of versus Energy for Bulk Material and Quantum Dot

    Researchers working on Nano-coating Dr. Ryne Raffaelle Dr. Sheila Baily

    Problem Statement Determining the most optically absorbentsemiconductor material

    Problem Solution Explanation of Theory Results

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    Light Absorption of Quantum Dots

    Why We Are Interested7,8,13

    These structures have greatpotential for optoelectronicapplications, one of which may be

    solar cells Standard solar cells have a

    theoretical upper conversion rate of33%, the theoretical limit on the

    conversion of sunlight to electricityis 67%

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    Light Absorption of Quantum Dots

    Definition of a Quantum Dot9

    Quantum Dot

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    Light Absorption of Quantum Dots

    Definition of a Quantum Dot9

    Quantum Dot Layer

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    Light Absorption of Quantum Dots

    Definition of a Quantum Dot9

    Quantum Dot Layer

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    Light Absorption of Quantum Dots

    Formula7

    _

    Vav = Average Dot Volume

    pfi= 2d momentum matrix element

    a = polarization of light

    N() = density of states

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    Light Absorption of Quantum Dots

    Formula12

    Transmission for Quantum dots.

    For transmission through n planes of dots, eachhaving the same dot density N and each dotexperiencing the same optical field amplitude, the

    transmission fraction is: Tn=(1-N)

    n (1-nN) ; (N

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    Light Absorption of Quantum Dots

    Comparison of versus Energy for Bulk

    Material and Quantum Dot9

    Li ht Ab ti f Q t D t

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    Light Absorption of Quantum Dots

    Comparison of versus Energy for Bulk

    Material and Quantum Dot

    Li ht Ab ti f Q t D t

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    Light Absorption of Quantum Dots

    Comparison of versus Energy for Bulk

    Material and Quantum Dot

    Li ht Ab ti f Q t D t

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    Light Absorption of Quantum Dots

    Comparison of versus Energy for Bulk

    Material and Quantum Dot7

    Li ht Ab ti f Q t D t

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    Light Absorption of Quantum Dots

    Comparison of versus Energy for Bulk

    Material and Quantum Dot7

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    Introduction

    How Classical Solar Cells Operate Absorption Coefficient ()

    Definition and Relevance of

    Physical Techniques for Measuring

    Light Absorption of Quantum Dot Layers Reasons for Interest Into Quantum Dot Light Absorption

    Definition of a Quantum Dot Formula for Light Absorption of a Quantum Dot

    Comparison of versus Energy for Bulk Material and Quantum Dot

    Researchers working on Light Absorption of Quantum Dots Dr. Ryne Raffaelle Dr. Sheila Baily

    Problem Statement Determining the most optically absorbentsemiconductor material

    Problem Solution Explanation of Theory Results

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    Researchers Working on Light

    Absorption of Quantum Dot Layers

    Dr. Sheila Bailey

    Using quantum dots in a solar cell to create anintermediate band

    IEEE Photovoltaic Specialist Conference (PVSC)Executive Committee since 1987

    http://www.grc.nasa.gov/WWW/RT2001/5000/5410bailey1.html

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    Researchers Working on Light

    Absorption of Quantum Dot Layers11

    Dr. Ryne Raffaelle

    Rochester Institute of Technology

    NanoPower Laboratories

    Organic and Plastic Solar Cells Combinedwith Quantum Dot Layers

    http://www.physlink.com/News/Images/QDots1_lg.jpg

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    Introduction

    How Classical Solar Cells Operate Absorption Coefficient ()

    Definition and Relevance of

    Physical Techniques for Measuring

    Light Absorption of Quantum Dot Layers Reasons for Interest Into Quantum Dot Light Absorption

    Definition of a Quantum Dot Formula for Light Absorption of a Quantum Dot

    Comparison of versus Energy for Bulk Material and Quantum Dot

    Researchers working on Light Absorption of Quantum Dots Dr. Ryne Raffaelle Dr. Sheila Baily

    Problem Statement Determining the most optically absorbentsemiconductor material

    Problem Solution Explanation of Theory Results

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    Problem Solution

    Explanation of theory

    z = propagation direction

    nr = refractive index

    omega = frequency

    alpha = absorption coefficient

    Laws of Conservation

    Energy

    Momentum

    )2

    exp()](exp[z

    tc

    niEE ro

    Figures based on Singhtextbook

    Photon Absorption

    Photon Emission

    )(|)*(|1 2

    2

    2

    cvif

    oro

    Npa

    mcn

    e

    32

    2/12/3* )()(2)(

    gr

    cv

    EmN

    cvif ppa22

    32|)*(

    eVm

    p

    o

    cv

    24~20

    2

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    Problem Statement Determining the most

    optically absorbent semiconductor bulk

    Consider InP and GaAs as being the availablesemiconductors to create a solar cell. This solarcell will be a hybrid, consisting of a traditional

    solar cell created with either InP or GaAs, andcoating layers of quantum dots of either InP orGaAs. If maximizing absorption is the onlycriteria for designing the solar cell, which materialshould be used for the bulk? Which should beused for the quantum dot layers? Assume the

    density of states for quantum dot layers of bothmaterials is equal and occurs at the same point, E= .1eV, and that the polarization-momentumproduct sum is the same in both cases.

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    Problem Statement Determining the most

    optically absorbent semiconductor bulk

    Absorption coefficient of InP andGaAs

    Required constants by material

    14

    Material ElectronMass(mo)

    Hole Mass(mo)

    Calculatedreducedmass (mo)

    Eg(eV)

    LatticeConstant(A)

    Refractiveindex(nr)

    Gallium

    Arsenide,GaAs

    0.067 mhh* = 0.45 mr

    *

    =0.058

    1.5 5.65 3.65

    IndiumPhosphide,InP

    0.073 mhh* = 0.45 mr

    *

    =0.0581.34 5.87 3

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    Introduction

    How Classical Solar Cells Operate Absorption Coefficient ()

    Definition and Relevance of

    Physical Techniques for Measuring

    Light Absorption of Quantum Dot Layers Reasons for Interest Into Quantum Dot Light Absorption

    Definition of a Quantum Dot Formula for Light Absorption of a Quantum Dot

    Comparison of versus Energy for Bulk Material and Quantum Dot

    Researchers working on Light Absorption of Quantum Dots Dr. Ryne Raffaelle Dr. Sheila Baily

    Problem Statement Determining the most optically absorbentsemiconductor material

    Problem Solution Explanation of Theory Results

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    Problem Solution

    Results: GaAs Bulk

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    Problem Solution

    Results: InP Bulk

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    Problem Solution

    Results

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    Problem Solution

    Results: GaAs Quantum Dot Layer

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    Problem Solution

    Results: InP Quantum Dot Layer

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    Conclusion

    How Classical Solar Cells Operate Absorption Coefficient ()

    Definition and Relevance of Physical Techniques for Measuring

    Light Absorption of Quantum Dots Reasons for Interest Into Quantum Dot Light Absorption

    Definition of a Quantum Dot Formula for Light Absorption of a Quantum Dot Comparison of versus Energy for Bulk Material and Quantum Dot

    Researchers working on Light Absorption of Quantum Dots Dr. Ryne Raffaelle Dr. Sheila Baily

    Problem Statement Determining the most optically absorbent

    semiconductor material Problem Solution

    Explanation of Theory Results

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    References

    1. Seale, Eric. Solar Cells: Shedding a Little Light on Photovoltaics. 28, Feb. 2002. Solarbotics.. Accessed03/20/2005.

    2. Pierret, Robert F. Semiconductor Device Fundaments. Addison Wesley Longman, 1996. pp 198-205.3. Anonymous. Absorption Coefficient. Undated. LaborLawTalk.

    . Accessed 04/01/2005.4. Anonymous. Transmission (T). Undated. Photonics Directory.

    . Accessed 04/01/2005.

    5. Augustine, G. Jokerst, N.M. Rohatgi, A.Absorption measurements of doped thin film InP for solar

    cell modeling. IEEE:Indium Phosphide and Related Materials, 1992., Fourth International Conferenceon. 21-24 April 1992.6. Gerber, D.S. Maracas, G.N. A simple method for extraction of multiple quantum well absorption

    coefficient from reflectance and transmittance measurements. Quantum Electronics, IEEE Journal of.Volume: 29 , Issue: 10. Oct. 1993.

    7. Kochman, B; Singh, J; et al. Absorption, Carrier Lifetime, and Gain in InAs-GaAs Quantum DotInfrared Photodetectors. IEEE Journal of Quantum Electronics. Volume 39, Number 3. March 2003.

    8. Anonymous. Photovoltaics. Evident Technologies. Undated.. Accessed 04/14/2005.

    9. Singh, J. Modern Physics for Engineers. John Wiley & Sons, Inc. 1999. pp 34, 156.10. Wu, Y. Singh, J. Polar Heterostructure for Multifunction Devices: Theoretical Studies. IEEE

    Transaction on Electron Devices. VOL. 52, NO. 2, FEBRUARY 2005

    11. Raffaelle, R. Profile of Ryne P. Raffaelle. RIT Department of Physics. Undated.. Accessed 04/10/2005.

    12. Blood, P. On the Dimensionality of Optical Absorption, Gain, and Recombination in Quantum-Confined Structures. IEEE Journal of Quantum Electronics. Vol. 36, No. 3, March 2000.

    13. D. Pan, E. Towne, and S. Kennerly. Strong normal-incident infrared absorption and photo-currentspectra from highly uniform (In,Ga)As/GaAs quantum dot structures. IEEE Electronic Letters. 14thMay 1998 Vol. 34 No. 10.


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