http://www.weizmann.ac.il/AERI/ Presentations are at http://www.weizmann.ac.il/AERI/presentations.html BASIC CONCEPTS OF Photovoltaics (1st part based on tutorial of Isaac Balberg Racah Inst. of Physics Hebrew University of Jerusalem) Basic Physics and Materials Science of Solar Cells J. M. Pearce, Email: profpearce@gmail.com David Cahen, Weizmann Inst., 11 – 2013 Caesarea Program בראשית.... In the beginning David Cahen, Weizmann Inst., 11 – 2013 Caesarea Program Energy levels of the hydrogen atom David Cahen, Weizmann Inst., 11 – 2013 Caesarea Program The hydrogen molecule H+H H2 David Cahen, Weizmann Inst., 11 – 2013 Caesarea Program The hydrogen molecule Level splitting H+H H2 David Cahen, Weizmann Inst., 11 – 2013 Caesarea Program From atomic levels to bands E : distance between atoms where system’s energy is minimized David Cahen, Weizmann Inst., 11 – 2013 Caesarea Program Energy Levels Chemistry is controlled by the states around the filled/empty transition, i.e., around the …… Fermi Level Energy E=0 Empty States LUMO Filled States HOMO An Atom Vacuum Level Fermi Level A Small Molecule Dan Thomas, Univ. Guelph, Canada http://www.chembio.uoguelph.ca/educmat/chem7234/ A Large Molecule Bulk Material David Cahen, Weizmann Inst., 11 – 2013 Caesarea Program Band Structure Infinitesimal energy difference (ΔE) between filled and empty states Small, but non-zero ΔE between filled and empty states Valence Band Large ΔE between filled and empty states Band Gap Core Bands Metal Dan Thomas, Univ. Guelph, Canada http://www.chembio.uoguelph.ca/educmat/chem7234/ Semiconductor Insulator David Cahen, Weizmann Inst., 11 – 2013 Caesarea Program Fermi Level • focus on the electrons near the filled/empty boundary. • each material’s energy state distribution is unique; different EF. Minimum energy to remove electron from sample E=0 (vacuum level) EF (Fermi level) EF (Fermi level) Metal 1 Metal 2 • the closer an electron is to the vacuum level, the weaker it is bound to the solid • or, the more energetic is the electron Dan Thomas, Univ. Guelph, Canada http://www.chembio.uoguelph.ca/educmat/chem7234/ David Cahen, Weizmann Inst., 11 – 2013 Caesarea Program Two Conductors in Contact –+ –+ –+ –+ –+ electron flow leads to charge separation Contact potential difference Fermi level equal throughout sample Dan Thomas, Univ. Guelph, Canada http://www.chembio.uoguelph.ca/educmat/chem7234/ David Cahen, Weizmann Inst., 11 – 2013 Caesarea Program Metal in an Electrolyte Solution Redox potential = Electrochemical potential of the electron = Fermi level Fermi levels are aligned Dan Thomas, Univ. Guelph, Canada http://www.chembio.uoguelph.ca/educmat/chem7234/ +– +– +– Charge is transferred to equilibrate Fermi level with redox potential, producing a charge separation and a contact potential difference. David Cahen, Weizmann Inst., 11 – 2013 Caesarea Program Two Electrolyte Solutions A charge separation arises to align the “Fermi” level (= redox potential) and produces a potential at the interface. Dan Thomas, Univ. Guelph, Canada http://www.chembio.uoguelph.ca/educmat/chem7234/ “Fermi” level +– +– +– David Cahen, Weizmann Inst., 11 – 2013 Caesarea Program An Ion in Solution • ion’s electronic structure: HOMO, LUMO, HOMO-LUMO gap. Lowest Unoccupied Molecular Orbital HOMO-LUMO Gap “Fermi” level Highest Occupied Molecular Orbital Dan Thomas, Univ. Guelph, Canada http://www.chembio.uoguelph.ca/educmat/chem7234/ David Cahen, Weizmann Inst., 11 – 2013 Caesarea Program Electrochemical Thermodynamics Every substance has a unique propensity to contribute to a system’s energy. We call this property Chemical Potential. m When the substance is a charged particle (such as an electron or an ion) we must include the response of the particle to an electrical field in addition to its Chemical Potential. We call this Electrochemical Potential. m = m + zFf These are perhaps the most fundamental measures of thermodynamics. Dan Thomas, Univ. Guelph, Canada http://www.chembio.uoguelph.ca/educmat/chem7234/ David Cahen, Weizmann Inst., 11 – 2013 Caesarea Program Chemical Potential Chemical potential (or electrochemical potential if it is charged) is the measure of how all the thermodynamic properties vary when we change the amount of the material present in the system. Formally we can write Dan Thomas, Univ. Guelph, Canada http://www.chembio.uoguelph.ca/educmat/chem7234/ David Cahen, Weizmann Inst., 11 – 2013 Caesarea Program Gibbs Free Energy The free energy function is the key to assessing the way in which a chemical system will spontaneously evolve. dG = -SdT + V dP + å mi dni + g dA + f dl constant T constant P don’t change shape don’t stretch it dG = å mi dni Dan Thomas, Univ. Guelph, Canada http://www.chembio.uoguelph.ca/educmat/chem7234/ David Cahen, Weizmann Inst., 11 – 2013 Caesarea Program Semiconductor doping “Doping” – deliberate introduction of • impurities into a high-purity, low-defect semiconductor crystal Ofer Sinai, 11-2013 17 David Cahen, Weizmann Inst., 11 – 2013 Caesarea Program Semiconductor doping “Doping” – deliberate introduction of • impurities into a high-purity, low-defect semiconductor crystal Impurity content is low • host chemical/crystalline properties preserved Nevertheless, impurities • completely dominate the electrical behavior Ofer Sinai, 11-2013 18 David Cahen, Weizmann Inst., 11 – 2013 Caesarea Program Semiconductor doping Intrinsic semiconductor very low conductivity At room T, Si intrinsic carrier concentration ≈ 1010 cm-3 (Cu: ~1023 cm-3) Ofer Sinai, 11-2013 19 David Cahen, Weizmann Inst., 11 – 2013 Caesarea Program Semiconductor doping Impurities introduce free charge carriers P B Donor impurities Acceptor impurities Negative charge carriers Positive charge carriers (holes) n-type semiconductor p-type semiconductor Ofer Sinai, 11-2013 20 David Cahen, Weizmann Inst., 11 – 2013 Caesarea Program Semiconductor doping Impurities introduce free charge carriers P Donor impurities Negative charge carriers n-type semiconductor Ofer Sinai, 11-2013 21 David Cahen, Weizmann Inst., 11 – 2013 Caesarea Program Semiconductor Materials David Cahen, Weizmann Inst., 11 – 2013 Caesarea Program Electrons and holes in semiconductors Doping of semiconductors David Cahen, Weizmann Inst., 11 – 2013 Caesarea Program Electrons and holes in semiconductors Formation of p-type semiconductor 1 eenergy David Cahen, Weizmann Inst., 11 – 2013 Caesarea Program Electrons and holes in semiconductors Formation of n-type semiconductor 1 eenergy David Cahen, Weizmann Inst., 11 – 2013 Caesarea Program Impurities determine conduction ~1010 cm-3 ~5∙1022 cm-3 Si intrinsic carriers: Si atom density: E.g., a ppm impurity can increase the amount of carriers a million-fold! Between doping rates of 1013 – 1020 cm-3, doping determines Carrier concentration Carrier polarity Ofer Sinai, 11-2013 26 David Cahen, Weizmann Inst., 11 – 2013 Caesarea Program What is the effect of doping? The Fermi level, EF, is a key parameter Intrinsic EF is near the center of the forbidden gap E E Conduction band (CB) Egap EFermi Valence band (VB) 1 f E E E f kT e 1 Fermi-Dirac distribution Ofer Sinai, 11-2013 27 David Cahen, Weizmann Inst., 11 – 2013 Caesarea Program What is the effect of doping? Donor impurities add occupied levels near the CB edge Added free electrons Fermi level is raised E E Conduction band (CB) EFermi Valence band (VB) Ofer Sinai, 11-2013 28 David Cahen, Weizmann Inst., 11 – 2013 Caesarea Program What is the effect of doping? Acceptor impurities add unoccupied levels near VB edge Added free holes Fermi level is lowered E E Conduction band (CB) EFermi Valence band (VB) Ofer Sinai, 11-2013 29 David Cahen, Weizmann Inst., 11 – 2013 Caesarea Program The p-n junction Basic component in electronics E ≈ Local vacuum level Local vacuum level Conduction band Conduction band EFermi EFermi Valence band n-type side Ofer Sinai, 11-2013 Valence band p-type side 30 David Cahen, Weizmann Inst., 11 – 2013 Caesarea Program The p-n junction Basic component in electronics E Local vacuum level Local vacuum level Conduction band Conduction band Valence band Valence band ≈ n-type side Ofer Sinai, 11-2013 p-type side 31 David Cahen, Weizmann Inst., 11 – 2013 Caesarea Program The p-n junction Charge carriers diffuse in both directions + – E Local vacuum level Local vacuum level Conduction band Conduction band Valence band Valence band ≈ n-type side Ofer Sinai, 11-2013 p-type side 32 David Cahen, Weizmann Inst., 11 – 2013 Caesarea Program The p-n junction A space-charge region (SCR) is formed E Local vacuum level ≈ Conduction band EFermi Valence band n-type side p-type side 33 Ofer Sinai, 11-2013 David Cahen, Weizmann Inst., 11 – 2013 Caesarea Program The p-n junction The junction is rectifying: n-type side Ofer Sinai, 11-2013 p-type side 34 David Cahen, Weizmann Inst., 11 – 2013 Caesarea Program The p-n junction Forward bias: – + n-type side Ofer Sinai, 11-2013 p-type side 35 David Cahen, Weizmann Inst., 11 – 2013 Caesarea Program The p-n junction Reverse bias: – + n-type side Ofer Sinai, 11-2013 p-type side 36 David Cahen, Weizmann Inst., 11 – 2013 Caesarea Program The concept of the Fermi level David Cahen, Weizmann Inst., 11 – 2013 Caesarea Program David Cahen, Weizmann Inst., 11 – 2013 Caesarea Program Formation of p-n junction David Cahen, Weizmann Inst., 11 – 2013 Caesarea Program The energy diagram of the p-n junction David Cahen, Weizmann Inst., 11 – 2013 Caesarea Program The p-n (homo)junction I = 0 actually means Idiffusion = -Idrift (= -I0) David Cahen, Weizmann Inst., 11 – 2013 Caesarea Program The p-n junction under forward bias As V , the current ; diffusion current dominates in the circuit # of carriers that can diffuse over the potential barrier increases by Boltzmann factor exp(qV/kT) : Idiffusion = I0 [exp(qV/kT)] (I0 ~ same as in equilibrium) David Cahen, Weizmann Inst., 11 – 2013 Caesarea Program The concept of the quasi-Fermi level David Cahen, Weizmann Inst., 11 – 2013 Caesarea Program Forward & reverse bias in p-n junction @ large |Vreverse| “breakdown” David Cahen, Weizmann Inst., 11 – 2013 Caesarea Program The p-n junction under reverse bias Reverse current saturates @ I0 For small |V|, I0 is maintained; Large |V| “breakdown”. David Cahen, Weizmann Inst., 11 – 2013 Caesarea Program The photoelectric effect David Cahen, Weizmann Inst., 11 – 2013 Caesarea Program Photon-induced electron-hole pair generation in a semiconductor Photon enters, is absorbed, and excites electron from VB to CB hole left in VB, electron-hole pair. incident photon David Cahen, Weizmann Inst., 11 – 2013 Caesarea Program Photoexcitation in the p-n junction In illuminated junction, IL is drift current, due to e--h+ hole generation, which adds to I0, the diffusion current. Illumination yields a drift photocurrent, IL David Cahen, Weizmann Inst., 11 – 2013 Caesarea Program The p-n junction under illumination I = Idark - IL Voc = (kT/q) . ln(IL/I0+1) @Voc, Idiff is so large that it cancels (I0+IL) Voc is determined by the light-induced drift current David Cahen, Weizmann Inst., 11 – 2013 Caesarea Program What a Semiconductor is good at: p-n junction = photocurrent ‘slide’ Internal field creates (minority) carrier drift Long-lived excess electrons and holes Dad Light David Cahen, Weizmann Inst., 11 – 2013 Caesarea Program Solar Cell Summary Conventional p-n junction 1 e- energy Absorb light • Absorbed light creates carriers • Carrier collection, by diffusion, drift • space after textbooks & R. Collins, CSM David Cahen, Weizmann Inst., 11 – 2013 Caesarea Program Solar Cell Summary Conventional p-n junction + I-V characteristic Absorb light • Absorbed light creates carriers • Carrier collection, by diffusion, drift • 1 e- energy Voc = 0.602 V Jsc = 26.7 mA/cm2 FF= 73.3% = 11.8% space after textbooks & R. Collins, CSM David Cahen, Weizmann Inst., 11 – 2013 Caesarea Program A schematic of a Solar Cell David Cahen, Weizmann Inst., 11 – 2013 Caesarea Program Inside a p/n junction Solar Cell David Cahen, Weizmann Inst., 11 – 2013 Caesarea Program Chapin, Fuller, Pearson David Cahen, Weizmann Inst., 11 – 2013 Caesarea Program The Photovoltaic (PV) effect: Generalized picture contact e- High energy state contact one electron energy Absorber Low energy state space p+ Metastable high and low • energy states Absorber transfers charges • into high and low energy state Driving force brings charges to • contacts Selective contacts • (1) cf. e.g., Green, M.A., Photovoltaic principles. Physica E, 14 (2002) 11-17 David Cahen, Weizmann Inst., 11 – 2013 Caesarea Program David Cahen, Weizmann Inst., 11 – 2013 Caesarea Program Current Types of PV Cells Primarily based on solid-state electronic material systems Elemental Semiconductors • (non) concentrator; single-& multijunction Single or multi-crystal – Polycrystalline films – Amorphous thin film – Inorganic Compound • Semiconductors Single crystal – Polycrystalline thin film – homo- & hetero-junction; photoelectrochem;Organic, Excitonic • MIS-inversion (molecules, polymer) Polycrystalline thin film – Interpenetrating network – Nanocrystalline; – dye-sensitized thin films ……………………………………………………… Si ,Ge (Ga,In)(As,P) Cu(In,Ga)Se2 CdTe P3HT/PCBM; porphyrins ++ perovskites* dye+TiO2 (ZnO) David Cahen, Weizmann Inst., 11 – 2013 Caesarea Program Single Junction PV Lab Cells: Present Status (1-4 cm2 ; most tandems are much smaller) • ~ [75%] 25% single crystal Si; • ~ [80%] ~20 % single jctn. PX thin films (CIGS, Si) • ~ [88%] ~12% dye sensitized solar cell (DSSC) • ~ [89%] ~11% organic molecule (~[90%] 10% polymer) • ~ (~ [62%] [56%] 38% “big Mac” tandem triple junction 44% “bigger Mac” tandem, +concentration) Definition of efficiency: Electrical PowerOUT 100% Solar Radiative PowerIN Data from Solar Cell Eff #41, Progr in PV 2013 and other sources David Cahen, Weizmann Inst., 11 – 2013 Caesarea Program Solar Cell (r)evolutions 1st generation Si Single- crystalline cm CdTe, CIGS 3d generation TiO2 Organic (polymer/ small molecule) poly-crystalline mm nano crystalline ~ 20 nm 2nd generation amorphous (a-Si:H; polymers) David Cahen, Weizmann Inst., 11 – 2013 Caesarea Program Crystalline Si Cell Manufacturing Process Wafer Saw Crystal Growth Vacuum furnace Wafer clean & Prep Wet bench (clean& etch) P-doping Inline furnace Module Back contact PVD or screen print SiN ARC deposition LPCVD or PVD David Cahen, Weizmann Inst., 11 – 2013 Caesarea Program Different process steps through production of c-Si solar cells + their relative part of the gross energy requirement (GER) Stoppato Energy 33, 224 (2008) David Cahen, Weizmann Inst., 11 – 2013 Caesarea Program Power Losses in Solar Cells David Cahen, Weizmann Inst., 11 – 2013 Caesarea Program The Solar Spectrum David Cahen, Weizmann Inst., 11 – 2013 Caesarea Program External Quantum Efficiency (EQE ~ IPCE) η() ≡ Ip()/qN() N() = # of impinging photons David Cahen, Weizmann Inst., 11 – 2013 Caesarea Program External Quantum Efficiency (EQE ~ IPCE) η() ≡ Ip()/qN() N() = # of impinging photons David Cahen, Weizmann Inst., 11 – 2013 Caesarea Program External quantum efficiency of different types of cells Wavelength (nm) In organic based solar cells EQE does not have sharp edge. This limits current efficiency. Solar Cell Eff #35, Progr. in PV, 2010 David Cahen, Weizmann Inst., 11 – 2013 Caesarea Program Internal Quantum (or collection) Efficiency (IQE) Y() ≡ η() / T() ≡ Ip() / qN()T() N()T() = absorbed photons David Cahen, Weizmann Inst., 11 – 2013 Caesarea Program Optical Problems for Quantum conversion of solar energy In Solar Cells Most Solar Energy is • “Wasted” as Heat why is this so? In any system with concentration, • most of the diffuse radiation is “lost” David Cahen, Weizmann Inst., 11 – 2013 Caesarea Program in Solar Cells Most Solar Energy is “Lost” as Heat ! Photovoltaic Conversion is a Quantum (threshold) Conversion Process Solar Energy Spectrum ultra-violet (UV) visible Infra-Red (IR) David Cahen, Weizmann Inst., 11 – 2013 Caesarea Program Single p-n junction solar cell e- Energy e- hn hn p-type n-type useable photovoltage (qV) h+ space O. Niitsoo David Cahen, Weizmann Inst., 11 – 2013 Caesarea Program Shockley-Queisser* (SQ) Limit photosynthesis SQ Limit 30 GaAs 25 Prince, JAP 26 (1955) 534 Loferski, JAP 27 (1956) 777 Shockley & Queisser JAP (1961) Efficiency (%) c-Si InP 20 CIGS CdTe 15 DSC a-Si 10 OPV 5 0.5 1.0 1.5 2.0 2.5 Band Gap (eV) detailed balance, photons-in = electrons-out + photonsout; on earth, @ RT, for single absorber / junction; * David Cahen, Weizmann Inst., 11 – 2013 Caesarea Program Losses in PV cell Etendu; Photon entropy –TD 80 ~0.3eV @RT, lack of concentration Current (mA/cm2) 70 Carnot factor –TD 60 Eg Emission loss- (current) 50 40 30 < Eg not absorbed Electrical power out Current – Voltage Characteristics 20 >Eg thermalized 10 0 0 1 2 4 3 Energy (eV) After Hirst & Ekins-Daukes Prog.Photovolt:Res:Appl. (2010) Nayak, ……, Cahen., Energy Environ. Sci., 2012 David Cahen, Weizmann Inst., 11 – 2013 Caesarea Program What else can we do? Better utilization of sunlight: Photon management: Multi-bandgap, multi-junction photovoltaics Four-junction device with bandgaps 1.8 eV/1.4 eV/1.0 eV/0.7 eV Theoretical efficiency > 52% 5 6 7 8 9 1 2 Bandgap (eV) David Cahen, Weizmann Inst., 11 – 2013 Caesarea Program Photon Management multi-junction device structures Thermodynamic Efficiency Limits non-concentrated Sunlight (AM 1.5) # of Junctions Efficiency Optimum EG (eV) 1 30% 1.3 2 42% 1.9 - 1.0 3 49% 2.3 - 1.4 - 0.8 4 53% 2.6 - 1.8 - 1.2 - 0.8 infinite 68% David Cahen, Weizmann Inst., 11 – 2013 Caesarea Program Optical Problems for Quantum conversion of solar energy In Solar Cells Most Solar Energy is • “Wasted” as Heat in any system with concentration, most of • the diffuse radiation is “lost” David Cahen, Weizmann Inst., 11 – 2013 Caesarea Program Improve performance using concentrated sunlight but … diffuse (scattered) radiation lost upon concentration David Cahen, Weizmann Inst., 11 – 2013 Caesarea Program The Solar Spectrum David Cahen, Weizmann Inst., 11 – 2013 Caesarea Program Optical Frequency Shifting BASIC RESEARCH NEEDS FOR SOLAR ENERGY UTILIZATION Report on the Basic Energy Sciences Workshop on Solar Energy Utilization David Cahen, Weizmann Inst., 11 – 2013 Caesarea Program Up-conversion for a single junction 2 photons of energy 0.5 Eg< hν< Eg are converted to 1 photon of hν> Eg David Cahen, Weizmann Inst., 11 – 2013 Caesarea Program Down-conversion for a single junction 1 photon of energy hn > 2Eg is converted into 2 photons of hn > Eg David Cahen, Weizmann Inst., 11 – 2013 Caesarea Program IN PRINCIPLE … efficiency possible in quantized systems Why ? Quantization changes relative rates of carrier relaxation channels: Slows carrier cooling - Phonon bottleneck• Can break selection rules • Increases carrier confinement • Allows non-equilibrium carrier populations• Hot carrier collection Hot carrier distributions Energy selective contacts Carriers must equilibrate and be collected before relaxing to band edges from / after R. Collins, CSM David Cahen, Weizmann Inst., 11 – 2013 Caesarea Program Normalized efficiency Up- and down-conversion together, based on AM1.5 a-Si:H GaA a-Si:H:F Cu2 s Si S Cd S Ge Eg David Cahen, Weizmann Inst., 11 – 2013 Caesarea Program Types of junction for solar cells 1. Homojunctions David Cahen, Weizmann Inst., 11 – 2013 Caesarea Program Types of junction for solar cells 2. Heterojunctions David Cahen, Weizmann Inst., 11 – 2013 Caesarea Program Thin Film PV Three major approaches amorphous Si & Micromorph Tandem Solar Cell Cu(InGa)Se2 CdTe David Cahen, Weizmann Inst., 11 – 2013 Caesarea Program Polycrystalline Thin Film PV 2nd Generation © Materials Research Society From Ginley & Cahen, Ch, 18 (Ginley, Collins, Cahen) 2012 Fundamentals of Materials for Energy and Environmental Sustainability< Cambridge Un. David Press,Cahen, 2011 Weizmann Inst., 11 – 2013 Caesarea Program David Cahen, Weizmann Inst., 11 – 2013 Caesarea Program Organic Photovoltaics: Basics Thin Organic Film PV Cathode A layer of Donor and a layer of Acceptor between electrodes Anode Exciton dissociation at Donor/Acceptor interface. glass Limited efficiency due to: Small dissociation sites (only D/A interface). High recombination possibility if D or/and A layer is thicker than ~10 nm. Low light absorption, because films are thin. 90 David Cahen, Weizmann Inst., 11 – 2013 Caesarea Program p/n vs. excitonic solar cells ORGANIC INORGANIC high dielectric constant • Exciton minority carrier device• low dielectric constant • excitonic device• m*e4 includes • EB 2 2 2 (4 0 ) 2 jiggling & wiggling dielectric constant from B. Kippelen, Georgia Tech David Cahen, Weizmann Inst., 11 – 2013 Caesarea Program Electron-hole pair: Organic vs. Inorganic PV cells Exciton binding energy >> kT Exciton binding energy < kT → dissociation by space charge region E-field MOLECULAR PICTURE Inorganic semiconductor from A. Kahn, Princeton U → requires donor/ acceptor, (D/A) type structure Organic semiconductor David Cahen, Weizmann Inst., 11 – 2013 Caesarea Program (hybrid) PV Cells: decreasing STATIC disorder Bulk heterojunction cell Dye-sensitized / ETA Cathode - D D A Anode Substrate Light OM Perovskite David Cahen, Weizmann Inst., 11 – 2013 Caesarea Program Semi-transparent “Plastic” OPV: Light for greenhouse plants and Power the fans, Pump the water courtesy David Ginley, NREL David Cahen, Weizmann Inst., 11 – 2013 Caesarea Program