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Photovoltaic effect

The photovoltaic effect is the physical phenomenon whereby certain materials, particularly semiconductors, generate an electric voltage or current when exposed to , enabling the direct conversion of into electrical power without moving parts or intermediaries. This process forms the foundational principle of photovoltaic (PV) cells, commonly known as cells, which absorb and produce electricity through the excitation and separation of charge carriers. Discovered in 1839 by French physicist during experiments with an consisting of metal electrodes in a conducting solution, the effect demonstrated increased electrical current under illumination. The mechanism of the photovoltaic effect relies on the absorption of photons by a material, which promotes electrons from the valence band to the conduction band, generating electron-hole pairs. In a typical , a p-n junction creates an internal that separates these charge carriers, with electrons flowing to the n-type side and holes to the p-type side, resulting in a measurable voltage across the when connected to an external circuit. Early observations of the effect in solid materials occurred in 1876, when William Grylls Adams and Richard Evans Day noted electricity generation in exposed to light, confirming that the phenomenon could occur without chemical solutions. The first practical silicon-based , achieving around 6% efficiency, was developed in 1954 by Daryl Chapin, Calvin Fuller, and Gerald Pearson at Bell Laboratories, marking a pivotal advancement for terrestrial and space applications. Today, the photovoltaic effect underpins global technologies, with commercial modules typically converting 15-25% of incident into , and laboratory efficiencies exceeding 40% in advanced multi-junction cells. Common materials include , thin-film compounds like , and emerging perovskites, driving widespread adoption in utility-scale power plants, residential systems, and portable devices as a renewable, low-emission source. Since the , technology has evolved from powering satellites like I in 1958 to contributing over 300 billion kilowatt-hours annually to the U.S. grid in 2024, underscoring its role in transitions.

Fundamentals

Definition and Phenomenon

The photovoltaic (PV) effect is the physical phenomenon in which incident on a , typically a , generates a voltage difference and an between two points of the material without the application of an external electrical bias. This process occurs through the absorption of photons, leading to the creation of charge carriers that can be collected to produce usable electrical power. Unlike the , which involves the emission of electrons from the surface of a material into vacuum or another medium upon light absorption, the PV effect relies on internal charge separation within the material, enabling a sustained flow in an external when connected. The , famously explained by in , primarily demonstrates the particle nature of light but does not inherently produce a net voltage across the material itself. Key observable characteristics of the PV effect include the (Voc), which is the maximum voltage generated across the device under illumination with no external load; the short-circuit current (Isc), representing the maximum current produced when the voltage is zero; and the fill factor (FF), a measure of the of power extraction defined as the ratio of maximum power to the product of Voc and Isc. These parameters directly quantify the performance of photovoltaic devices and are influenced by the material properties and . Materials exhibiting the PV effect range from inorganic semiconductors such as , which dominates commercial applications due to its abundance and stability, to (GaAs), valued for its high efficiency in specialized uses like . Organic semiconductors and dye-sensitized materials also demonstrate the effect, offering potential for flexible and low-cost devices, though with generally lower efficiencies compared to inorganic counterparts. The PV effect was first observed in 1839 by French physicist , who, at age 19, noted a voltage generation in an consisting of silver chloride electrodes immersed in an solution when exposed to light. This pioneering experiment laid the groundwork for understanding light-induced electrical effects, though practical solid-state devices emerged much later.

Basic Principles

The photovoltaic effect operates through the of photons with exceeding the material's bandgap, which excites electrons from the valence to the conduction , generating electron-hole pairs. A built-in , typically arising from a p-n junction, separates these charge carriers, with electrons directed to the n-type region and holes to the p-type region, thereby producing a photovoltage across the device. The photogenerated current density J_{ph} arises from the collection of these carriers and can be approximated as J_{ph} = q (G L_n + G L_p), where q is the elementary charge, G is the generation rate of electron-hole pairs due to light absorption, and L_n and L_p are the diffusion lengths of electrons and holes, respectively; this expression assumes uniform generation and diffusion-limited collection in the quasi-neutral regions. The overall current-voltage (I-V) characteristic of a photovoltaic device follows the single-diode model: I = I_{ph} - I_0 \left( \exp\left(\frac{qV}{kT}\right) - 1 \right) - \frac{V}{R_{sh}}, where I_{ph} is the photocurrent (approximately equal to the short-circuit current under illumination), I_0 is the dark saturation current, V is the applied voltage, k is Boltzmann's constant, T is the temperature, and R_{sh} is the shunt resistance; this equation, derived from the Shockley diode equation, describes how the photocurrent competes with the diode recombination current and leakage paths. Key performance metrics quantify device operation. The power conversion efficiency \eta is defined as \eta = \frac{P_{max}}{P_{in}} \times 100\%, where P_{max} = V_{oc} I_{sc} FF is the maximum power output, P_{in} is the incident light power (typically 100 mW/cm² under standard test conditions), [V_{oc}](/page/Open-circuit_voltage) is the (the voltage at zero , where balances recombination), I_{sc} is the short-circuit (the at zero voltage, limited by the photogenerated carriers), and [FF](/page/FF) is the fill factor (the ratio of maximum power to V_{oc} I_{sc}, indicating the squareness of the I-V curve and losses due to series/shunt resistances). The spectral response of the photovoltaic effect depends on the wavelength relative to the material bandgap, with occurring primarily for wavelengths shorter than the bandgap wavelength (\lambda_g = hc / E_g, where h is Planck's constant, c is the , and E_g is the bandgap energy). The external EQE(\lambda) measures this response as EQE(\lambda) = \frac{\text{number of charge carriers collected}}{\text{number of incident photons at wavelength } \lambda}, accounting for optical losses like and incomplete carrier collection; it approaches for wavelengths well-matched to the bandgap but drops sharply beyond \lambda_g due to insufficient . For the effect to produce net current, a or asymmetry is required to establish the built-in field that prevents immediate recombination of generated carriers and enables their extraction.

Physical Mechanisms

Photoexcitation and Charge Generation

The photovoltaic effect begins at the quantum level with photoexcitation, where incident photons are absorbed by a , promoting s from the valence band to the conduction band. This process requires the h\nu to exceed the 's bandgap energy E_g, creating an - pair: the occupies the conduction band, while the hole remains in the valence band as a vacant state. In band theory, the valence band consists of filled states, and the conduction band of empty or partially filled states; absorption bridges this gap only if momentum and energy are conserved during the transition. Semiconductors are classified by bandgap type, influencing efficiency. In direct bandgap materials like (GaAs), the conduction band minimum and valence band maximum align at the same (k-vector) in the , allowing vertical transitions with minimal involvement for conservation. Conversely, indirect bandgap semiconductors like require interactions to conserve , resulting in weaker near the bandgap edge and a slower rise in the coefficient with increasing photon energy. This distinction explains silicon's dominance in despite its indirect nature, as its abundance and cost-effectiveness outweigh the need for thicker absorbers to compensate for lower . Light absorption in semiconductors follows the Beer-Lambert law, describing the of intensity as photons penetrate the material: I(z) = I_0 \exp(-\alpha z), where I_0 is the incident intensity, \alpha is the wavelength-dependent absorption coefficient, and z is the depth. The rate of electron-hole pair generation G(z) at depth z is then given by G(z) = \frac{\alpha I(z)}{h\nu} = \frac{\alpha I_0 \exp(-\alpha z)}{h\nu}, representing the number of pairs created per unit volume per second, assuming each absorbed with h\nu > E_g generates one pair. Key factors influencing generation include the bandgap energy and spectral match to the . For , E_g \approx 1.1 at , enabling of photons up to about 1100 nm, which covers a significant portion of the AM1.5 global spectrum (standardized at 1000 W/m² with 1.5). Materials with bandgaps mismatched to this spectrum—too wide (e.g., >2 ) lose low-energy photons, while too narrow increase thermalization losses—reduce overall generation efficiency. Generated carriers can recombine before contributing to current, limiting the photovoltaic yield. Recombination mechanisms include radiative (band-to-band emission of photons), non-radiative via defects (Shockley-Read-Hall, SRH), and (energy transfer to another carrier). The effective \tau combines these inversely: \frac{1}{\tau} = \frac{1}{\tau_{\text{rad}}} + \frac{1}{\tau_{\text{SRH}}} + \frac{1}{\tau_{\text{Auger}}}, where \tau_{\text{rad}} dominates in direct bandgap materials, SRH in defect-rich , and Auger in highly doped regions. Minimizing recombination, particularly SRH through material purification, extends \tau and enhances charge availability for extraction.

Charge Separation and Collection

In p-n junction photovoltaic devices, charge separation begins after electron-hole pairs are generated by light absorption, with the built-in in the directing minority carriers toward opposite sides of the junction. The forms due to the initial of electrons from the n-type region to the p-type region and holes in the reverse direction, creating a imbalance that establishes a built-in potential barrier. This potential V_{bi} is expressed as V_{bi} = \frac{kT}{q} \ln \left( \frac{N_a N_d}{n_i^2} \right), where k is Boltzmann's constant, T is the absolute temperature, q is the , N_a and N_d are the acceptor and donor doping concentrations, respectively, and n_i is the intrinsic carrier concentration. The resulting E across the , approximated as E = V_{bi} / W with W being the depletion width, efficiently sweeps photogenerated electrons toward the n-side and holes toward the p-side, preventing immediate recombination and enabling net charge flow. The transport of charges involves both drift under the electric field and diffusion due to concentration gradients, with the total current density given by J = J_{drift} + J_{diffusion}. The drift component is J_{drift} = q (\mu_n n E + \mu_p p E), where \mu_n and \mu_p are the electron and hole mobilities, n and p are the carrier concentrations, and E is the field strength; this dominates within the depletion region for rapid separation. Outside the depletion region, minority carriers must diffuse to reach the field, governed by their diffusion length L = \sqrt{D \tau}, where D is the diffusion coefficient and \tau is the minority carrier lifetime; carriers generated beyond approximately L from the junction recombine before collection. This diffusion-drift interplay distinguishes the photovoltaic effect from mere photoconductivity by producing a directed current rather than symmetric conductivity increase. Alternative architectures enable charge separation without traditional p-n doping. In Schottky junctions, a metal-semiconductor forms a barrier potential due to the difference, creating an that separates photogenerated carriers at the contact, analogous to the p-n depletion field but with simpler fabrication. Heterojunctions, formed between dissimilar semiconductors, rely on band offsets at the to drive electrons and holes in opposite directions, enhancing separation in materials with mismatched doping or lattice constants. The effectiveness of charge collection is quantified by the internal quantum efficiency (IQE), defined as the ratio of collected charge carriers to those generated internally by absorbed photons. IQE is limited by recombination losses, particularly at surfaces where the surface recombination velocity S characterizes the rate at which carriers recombine at interfaces; low S values (e.g., below 100 cm/s) are essential for high IQE by minimizing losses before carriers reach collection contacts. In optimized p-n junctions, IQE can approach unity for carriers generated near the , underscoring the role of junction design in maximizing usable .

Temperature and Environmental Effects

The performance of photovoltaic devices is significantly influenced by temperature variations, which affect key electrical parameters. The open-circuit voltage (V_{oc}) typically decreases with increasing due to the exponential rise in the saturation current density, with a temperature coefficient of approximately -2.2 mV/°C for silicon-based cells. This relationship can be expressed as \frac{dV_{oc}}{dT} \approx -\frac{E_g}{qT} + \text{constant}, where E_g is the bandgap , q is the , and T is the , reflecting the intrinsic carrier concentration's temperature dependence. In contrast, the short-circuit current (I_{sc}) shows a slight increase with temperature, attributed to bandgap narrowing that allows absorption of lower-energy photons, though this effect is minor compared to the V_{oc} reduction. Overall, the efficiency (\eta) of silicon photovoltaic cells declines by about 0.4-0.5% per °C above 25°C, primarily driven by the dominant V_{oc} loss. At elevated temperatures, several mechanisms degrade photovoltaic performance. Increased thermal energy enhances carrier recombination rates, particularly non-radiative Shockley-Read-Hall recombination, which shortens minority carrier lifetimes and reduces charge collection . Additionally, introduces mechanical stress at p-n junctions and interfaces, potentially compromising junction integrity and leading to microcracks or in module structures. These effects collectively lower the fill factor and power output, exacerbating losses in real-world deployments. Beyond temperature, other environmental factors modulate the photovoltaic effect. Variations in yield a nearly linear I_{sc} response under standard conditions, but at higher intensities, series resistance causes a sublinear increase, limiting scaling in concentrated systems. and (UV) exposure accelerate through ingress, which corrodes contacts and encapsulants, while UV-induced causes yellowing and material fatigue, necessitating robust encapsulation like (EVA) to mitigate and oxidation. Photovoltaic performance is standardized under Standard Test Conditions (STC), defined by the (IEC) as 1000 W/m² irradiance, 25°C cell temperature, and AM1.5 solar spectrum, to ensure comparable ratings across devices. A 2023 study projects a global decrease of about 1.1% in photovoltaic power potential by end-of-century (2071–2100) under the SSP2-4.5 scenario, primarily due to rising temperatures and humidity, with decreases in polar and tropical regions but increases in parts of , eastern , and . To counteract these effects, mitigation strategies include active and techniques, such as phase-change materials or water circulation systems, which can reduce cell by 10-20°C and improve by several percent (e.g., up to 14% relative in some setups). Device specifications routinely incorporate temperature coefficients—typically -0.3% to -0.5%/°C for —to predict performance under non-STC conditions and inform system design.

Historical Development

Early Observations and Discoveries

The photovoltaic effect was first observed in 1839 by French physicist Alexandre-Edmond Becquerel, who, at the age of 19, conducted experiments in his father's laboratory using an consisting of electrodes immersed in an of . He noted that exposure to light increased the cell's , producing a measurable voltage proportional to the light intensity, marking the initial empirical demonstration of photoelectrochemical effects in non-solid materials. This discovery laid the groundwork for understanding light-induced charge separation in electrolytes, though it remained largely unrecognized for decades due to the era's limited instrumentation. Building on earlier photoconductivity observations, British physicist William Grylls Adams and his student Richard Evans Day reported the photovoltaic effect in a solid material in 1876. They illuminated a bar of in contact with and measured a without heating or mechanical movement, establishing the first solid-state photovoltaic response independent of thermal effects. This experiment shifted focus from liquid electrolytes to semiconductors, highlighting selenium's potential for light-to-electricity conversion. In 1883, American inventor Charles Fritts advanced these findings by constructing the first practical photovoltaic cell using selenium wafers coated with a thin semitransparent layer of to form a . This device achieved an of approximately 1%, producing a continuous current under illumination that Fritts described as "constant and of considerable force." Despite its low output and high cost, it represented the earliest attempt at a functional , inspiring further exploration of junction-based designs. Throughout the early , selenium-based photovoltaic cells found niche applications in photoelectric devices, such as light meters and exposure indicators in , where their sensitivity to illumination enabled precise measurements. Aleksandr Stoletov contributed significantly between 1888 and 1891 by developing cells exploiting the to quantify light intensity, bridging empirical observations toward quantitative tools. These developments culminated in a landmark announcement on , 1954, when Bell Laboratories unveiled the first practical photovoltaic cell, achieving 6% efficiency and powering a small radio transmitter, which propelled the effect from curiosity to viable technology.

Theoretical Advancements and Milestones

In 1941, Russell Ohl at Bell Laboratories discovered the p-n junction in while investigating impurities in purified crystals, observing a photovoltaic response across the junction that laid the foundation for modern -based solar cells. This accidental finding during studies demonstrated how a junction could separate photogenerated charges, enabling practical photovoltaic conversion and inspiring subsequent and developments. During the 1950s and 1960s, theoretical modeling advanced significantly, culminating in the Shockley-Queisser limit established by and Hans-Joachim Queisser in 1961. This limit, derived from the principle of where radiative recombination balances , predicts a maximum of approximately 33% for single-junction solar cells under AM1.5 solar illumination with a bandgap around 1.1 eV, such as . Shockley's contributions, building on his earlier p-n junction theory from 1949, provided a thermodynamic framework that quantified unavoidable losses due to spectrum mismatch and thermalization, guiding decades of device optimization. The spurred intensified research into alternative energy, including , with governments increasing funding for silicon-based technologies. This period saw the introduction of cells in the mid-1970s, which reduced production costs compared to single-crystal silicon while maintaining reasonable efficiencies around 10-15%, facilitating terrestrial applications beyond . From the 2000s onward, theoretical advancements shifted toward alternative materials to surpass single-junction limits, with thin-film technologies like (CIGS) and (CdTe) emerging as scalable options due to lower material usage and potential for flexible devices. Organic photovoltaics gained traction in the same era, leveraging solution-processable polymers for low-cost, lightweight cells, though initial efficiencies were below 5% before theoretical models emphasized bulk heterojunction architectures to improve charge separation. A major milestone occurred in 2012 with the development of solid-state solar cells achieving over 10% efficiency, as reported by Henry Snaith's group, which utilized methylammonium lead iodide absorbers and highlighted defect-tolerant properties for rapid performance gains. Tandem cell configurations, stacking perovskites with or CIGS, began exceeding the Shockley-Queisser limit for single junctions, with efficiencies reaching 34.85% by 2025 through optimized band alignments that capture a broader spectrum. Recent theoretical progress up to 2025 has focused on and hot carrier effects to push efficiencies beyond 40%, with solar cells theoretically enabling multiple generation to minimize thermal losses, as modeled in systems. Hot carrier cells, preserving excess energy from high-energy photons, promise ultimate efficiencies over 60% but have advanced toward 40% in prototypes via bottleneck engineering in s and III-V materials. stability has improved markedly since 2023 through passivation strategies like inorganic integration, achieving operational lifetimes over 1,000 hours under standard tests and enabling commercialization milestones, such as module-scale production by companies like Oxford PV. Martin Green, often called the "father of ," has driven these records at UNSW, holding efficiency benchmarks for over 30 years and advancing tandems by emphasizing surface passivation and light trapping.

Practical Applications

Photovoltaic Devices

Photovoltaic devices convert directly into through the photovoltaic effect, primarily utilizing materials to generate and collect charge carriers. The most common structure is the p-n solar , which consists of an n-type emitter layer doped with donor impurities and a p-type base layer doped with acceptor impurities, forming a that creates a built-in . This is typically topped with an to minimize , a transparent front contact (such as a metal grid) for current collection, and a back contact for the opposite , often with passivation layers to reduce surface recombination losses. In operation, incident photons with energy greater than the bandgap are absorbed in the active layer, exciting electrons from the valence band to the conduction band and generating electron-hole pairs. The built-in electric field at the p-n junction separates these carriers, sweeping electrons toward the n-type region and holes toward the p-type region, which are then collected by the electrodes to produce a . These devices can operate as standalone units powering small or be integrated into grid-connected systems via inverters for larger-scale . Crystalline silicon photovoltaic cells, including monocrystalline and polycrystalline variants, dominate commercial applications due to their stability and efficiency in leveraging the photovoltaic effect through high-purity wafers that enable efficient carrier generation and collection. Thin-film technologies, such as (a-Si) and (CIGS), use layered depositions on substrates to achieve flexibility and lower material costs, exploiting the effect in thinner absorbers that still generate substantial carriers from broad-spectrum light. Emerging types include perovskite solar cells, which utilize hybrid organic-inorganic materials with high absorption coefficients for rapid carrier generation across visible wavelengths; organic (OPV), relying on blends for lightweight, solution-processable devices; and dye-sensitized solar cells (DSSC), where dyes on a inject excited electrons to harness the effect in a sensitized manner. Beyond solar cells, photovoltaic devices encompass photodiodes, which operate similarly but are optimized for fast response and low noise in detecting , often used in systems. Photovoltaic sensors, such as those in light meters, exploit the effect to measure by converting flux directly to voltage without external bias, enabling applications in and .

Efficiency and Limitations

The photovoltaic effect in single-junction solar cells is fundamentally constrained by the Shockley-Queisser () limit, which establishes the maximum theoretical based on the principle of under at 6000 K. This limit arises from unavoidable losses, including thermalization of high-energy photons above the bandgap, transmission of sub-bandgap photons, and radiative recombination, resulting in a peak of approximately 33% for an optimal bandgap of 1.34 ; for with a 1.1 bandgap, the SQ is around 29%. The overall is given by \eta_{SQ} = \frac{J_{sc} V_{oc} FF}{P_{in}}, where J_{sc} is the short-circuit , V_{oc} is the , FF is the fill factor, and P_{in} is the incident power, with spectrum mismatch to the AM1.5 solar spectrum further reducing practical values below this theoretical ceiling. In practical devices, additional non-radiative losses degrade performance beyond SQ predictions, primarily due to series resistance (R_s) from contacts and interconnects, which limits current collection and reduces V_{oc} and FF, and shunt resistance (R_{sh}) from defects or pinholes, which causes leakage currents and diminishes J_{sc}. Contact losses at interfaces further exacerbate recombination, lowering extraction . As of November 2025, laboratory records reflect these constraints: cells achieve over 27.8% , while multi-junction concentrator cells reach 47.6% under focused light, though commercial modules typically operate at 20-25% due to scaling challenges. Strategies to surpass single-junction limits include multi-junction and architectures, which stack materials with varying bandgaps to capture a broader and minimize thermalization losses, enabling efficiencies up to 47% in research cells. Concentrator systems amplify incident light to boost J_{sc}, while up- and down-conversion techniques shift unusable wavelengths into absorbable ranges. Post-2020 advances, such as perovskite- tandems, have pushed certified efficiencies to 34.85%, leveraging perovskites' tunable bandgaps atop stable absorbers, though stability remains a hurdle. Efficiency gains directly influence economic viability, as measured by the levelized of (LCOE), which has declined to $38-78/MWh for utility-scale solar PV in 2025, driven by higher module efficiencies reducing required installation area and balancing s. This trend underscores how photovoltaic improvements lower LCOE below fossil fuels, enhancing grid competitiveness. Looking ahead, exceeding the SQ limit requires advanced mechanisms like hot carrier extraction, which preserves excess before thermalization, or singlet fission, where one high-energy splits into two lower-energy triplets to boost current without voltage loss, potentially enabling efficiencies over 50% in hybrid systems.

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