Roadmap towards efficiencies over 40% at ultra-high concentrations (> 1000 suns)

High efficiency solar cells working under ultra-high concentrations (>;1000X) have been shown to be a promising solution to decrease the cost of PV electricity, increase the efficiency and circumvent the material availability restrictions for massive PV penetration. A detailed analysis of the limitations of our current triple junction solar cell (36.2% at 700X), in the quest to maximize efficiency at 1000X, shows that the main improvements to tackle are: a) implementation of a high band gap tunnel junction; b) increase the band gap of the top cell; c) fine current matching tune; d) enhancement of the front contact process. This constitutes our roadmap to reach an efficiency over 41%

Limiting efficiencies of GaAs solar cells

The limiting efficiencies of GaAs solar cells when used under concentrated sunlight are calculated. The benefits to be expected from applying techniques which restrict the angle of acceptance of the cell are determined. It is concluded that when the acceptance angle is restricted the emission of the luminescent photons and therefore the associated current loss are reduced. A limiting efficiency close to 39% results for concentration ratios of about 1000 suns AM1.5 direct. For lower concentration ratios, the limiting efficiency decreases if Auger recombination is also taken into account

Photovoltaic application of O-doped Wittichenite-Cu 3 BiS 3: from microscopic properties to maximum efficiencies

The electronic properties and the low environmental impact of Cu 3 BiS 3 make this compound a promising material for low-cost thin film solar cell technology. From the first principles, the electronic properties of the isoelectronic substitution of S by O in Cu 3 BiS 3 have been obtained using two different exchange-correlation potentials. This compound has an acceptor level below the conduction band, which modifies the opto-electronic properties with respect to the host semiconductor. In order to analyze a possible efficiency increment with respect to the host semiconductor, we have calculated the maximum efficiency of this photovoltaic absorber material.

Pressurized Irrigation Dealing with Water and Energy Efficiencies

En la conferencia se expone la situación en España de los riegos a presión considerando los condicionantes de escasez de agua y el precio de la energía.

Arsenic speciation in edible alga samples by microwave-assisted extraction and high performance liquid chromatography coupled to atomic fluorescence spectrometry

Twelve commercially available edible marine algae from France, Japan and Spain and the certified reference material (CRM) NIES No. 9 Sargassum fulvellum were analyzed for total arsenic and arsenic species. Total arsenic concentrations were determined by inductively coupled plasma atomic emission spectrometry (ICP-AES) after microwave digestion and ranged from 23 to 126 μg g−1. Arsenic species in alga samples were extracted with deionized water by microwave-assisted extraction and showed extraction efficiencies from 49 to 98%, in terms of total arsenic. The presence of eleven arsenic species was studied by high performance liquid chromatography–ultraviolet photo-oxidation–hydride generation atomic–fluorescence spectrometry (HPLC–(UV)–HG–AFS) developed methods, using both anion and cation exchange chromatography. Glycerol and phosphate sugars were found in all alga samples analyzed, at concentrations between 0.11 and 22 μg g−1, whereas sulfonate and sulfate sugars were only detected in three of them (0.6-7.2 μg g−1). Regarding arsenic toxic species, low concentration levels of dimethylarsinic acid (DMA) (<0.9 μg g−1) and generally high arsenate (As(V)) concentrations (up to 77 μg g−1) were found in most of the algae studied. The results obtained are of interest to highlight the need to perform speciation analysis and to introduce appropriate legislation to limit toxic arsenic species content in these food products.

Triple-Junction Solar Cells for Ultra-High Concentrator Applications

After the successful implementation of a record performing dual-junction solar cell at ultra high concentration, in this paper we present the transition to a triple-junction device. The semiconductor structure of the solar cells is presented and the main changes in respect to a dual-junction design are briefly discussed. Cross-sectional TEM analysis of samples confirms that the quality of the triple-junction structures grown by MOVPE is good, revealing no trace of antiphase disorder, and showing flat, sharp and clear interfaces between the layers. Triple-junction solar cells manufactured on these structures have shown a peak efficiency of 36.2% at 700X, maintaining the efficiency over 35% from 300 to 1200 suns. With some changes in the structure and a fine tuning of its processing, efficiencies close to 40% at 1000 suns are envisaged.

First principles study of Bi dopen CdTe thin film solar cells: electronic and optical properties

Nowadays, efficiency improvement of solar cells is one of the most important issues in photovoltaic systems and CdTe is one of the most promising thin film photovoltaic materials we can found. CdTe reported efficiencies in solar energy conversion have been as good as that found in polycrystalline Si thin film cell [1], besides CdTe can be easily produced at industrial scale.

Near infrared high efficiency InAs/GaAsSb QDLEDs: band alignment and carrier recombination mechanisms

The development of high efficiency laser diodes (LD) and light emitting diodes (LED) covering the 1.0 to 1.55 μm region of the spectra using GaAs heteroepitaxy has been long pursued. Due to the lack of materials that can be grown lattice-macthed to GaAs with bandgaps in the 1.0 to 1.55 μm region, quantum wells (QW) or quantum dots (QD) need be used. The most successful approach with QWs has been to use InGaAs, but one needs to add another element, such as N, to be able to reach 1.3/1.5μm. Even though LDs have been successfully demonstrated with the QW approach, using N leads to problems with compositional homogeneity across the wafer, and limited efficiency due to strong non-radiative recombination. The alternative approach of using InAs QDs is an attractive option, but once again, to reach the longest wavelengths one needs very large QDs and control over the size distribution and band alignment. In this work we demonstrate InAs/GaAsSb QDLEDs with high efficiencies, emitting from 1.1 to 1.52 μm, and we analyze the band alignment and carrier loss mechanisms that result from the presence of Sb in the capping layer.

Ultra-High Efficiency, High-Concentration PV System Based On Spectral Division Between GaInP/GaInAs/Ge And BPC Silicon Cells

A novel HCPV nonimaging concentrator concept with high concentration (>500×) is presented. It uses the combination of a commercial concentration GaInP∕GaInAs∕Ge 3J cell and a concentration Back‐Point‐Contact (BPC) concentration silicon cell for efficient spectral utilization, and external confinement techniques for recovering the 3J cell′s reflection. The primary optical element (POE) is a flat Fresnel lens and the secondary optical element (SOE) is a free‐form RXI‐type concentrator with a band‐pass filter embedded it, both POE and SOE performing Köhler integration to produce light homogenization. The band‐pass filter sends the IR photons in the 900–1200 nm band to the silicon cell. Computer simulations predict that four‐terminal terminal designs could achieve ∼46% added cell efficiencies using commercial 39% 3J and 26% Si cells. A first proof‐of concept receiver prototype has been manufactured using a simpler optical architecture (with a lower concentration, ∼ 100× and lower simulated added efficiency), and experimental measurements have shown up to 39.8% 4J receiver efficiency using a 3J with peak efficiency of 36.9%

Analysis of the Mechanical Properties of Multicrystalline and Monocrystalline Silicon Wafers Manufactured by Casting Methods

Quasi-monocrystalline silicon wafers have appeared as a critical innovation in the PV industry, joining the most favourable characteristics of the conventional substrates: the higher solar cell efficiencies of monocrystalline Czochralski-Si (Cz-Si) wafers and the lower cost and the full square-shape of the multicrystalline ones. However, the quasi-mono ingot growth can lead to a different defect structure than the typical Cz-Si process. Thus, the properties of the brand-new quasi-mono wafers, from a mechanical point of view, have been for the first time studied, comparing their strength with that of both Cz-Si mono and typical multicrystalline materials. The study has been carried out employing the four line bending test and simulating them by means of FE models. For the analysis, failure stresses were fitted to a three-parameter Weibull distribution. High mechanical strength was found in all the cases. The low quality quasi-mono wafers, interestingly, did not exhibit critical strength values for the PV industry, despite their noticeable density of extended defects.

Optimization of laser-firing processes for silicon-heterojunction solar-cell back contacts

One of the key steps to achieve high efficiencies in amorphous/crystalline silicon photovoltaic structures is to design low-ohmic-resistance backcontacts with good passivation in the rear part of the cell. A well known approach to achieve this goal is to use laser-fired contact (LFC) processes in which a metal layer is fired through the dielectric to define good contacts with the semiconductor. However, and despite the fact that this approach has demonstrated to be extremely successful, there is still enough room for process improvement with an appropriate optimization. In this paper, a study focused on the optimal adjustment of the irradiation parameters to produce laser-fired contacts in a-Si:H/c-Si heterojunctionsolarcells is presented. We used samples consisting of crystalline-silicon (c-Si) wafers together with a passivation layer of intrinsic hydrogenated amorphous silicon (a-Si:H(i)) deposited by plasma-enhanced chemical deposition (PECVD). Then, an aluminum layer was evaporated on both sides, the thickness of this layer varied from 0.2 to 1 μm in order to identify the optimal amount of Al required to create an appropriate contact. A q-switched Nd:YVO4laser source, λ = 532 nm, was used to locally fire the aluminum through the thin a-Si:H(i)-layers to form the LFC. The effects of laser fluences were analyzed using a comprehensive morphological and electrical characterization.

A ferrous oxalate mediated photo-Fenton system: Toward an increased biodegradability of indigo dyed wastewaters

This study assessed the applicability of a ferrous oxalate mediated photo-Fenton pretreatment for indigo-dyed wastewaters as to produce a biodegradable enough effluent, likely of being derived to conventional biological processes. The photochemical treatment was performed with ferrous oxalate and hydrogen peroxide in a Compound Parabolic Concentrator (CPC) under batch operation conditions. The reaction was studied at natural pH conditions (5–6) with indigo concentrations in the range of 6.67–33.33 mg L−1, using a fixed oxalate-to-iron mass ratio (C2O42−/Fe2+ = 35) and assessing the system's biodegradability at low (257 mg L−1) and high (1280 mg L−1) H2O2 concentrations. In order to seek the optimal conditions for the treatment of indigo dyed wastewaters, an experimental design consisting in a statistical surface response approach was carried out. This analysis revealed that the best removal efficiencies for Total Organic Carbon (TOC) were obtained for low peroxide doses. In general it was observed that after 20 kJ L−1, almost every treated effluent increased its biodegradability from a BOD5/COD value of 0.4. This increase in the biodegradability was confirmed by the presence of short chain carboxylic acids as intermediate products and by the mineralization of organic nitrogen into nitrate. Finally, an overall decrease in the LC50 for Artemia salina indicated a successful detoxification of the effluent.

Ensayos acelerados de fiabilidad de células solares de concentración

SUMMARY Concentration Photovoltaic Systems (CPV) have been proposed as an alternative to conventional systems. During the last years, there has been a boom of the CPV industry caused by the technological progress in all the elements of the system. and mainly caused by the use of multijunction solar cells based on III-V semiconductors, with efficiencies exceeding to 43%. III-V solar cells have been used with high reliability results in a great number of space missions without concentration. However, there are no previous results regarding their reliability in concentration terrestrial applications, where the working conditions are completely different. This lack of experience, together with the important industrial interest, has generated the need to evaluate the reliability of the cells. For this reason, nowadays there are several research centers around the undertaking this task. The evaluation of the reliability of this type of devices by means of accelerated tests is especially problematic when they work at medium or high concentration, because it is practically impossible to emulate real working conditions of the cell inside climatic chambers. In fact, as far as we know, the results that appear in this Thesis are the first estimating the Activation Energy of the failure mechanism involved, as well as the warranty of the III-V concentrator solar cells tested here. To evaluate the reliability of III-V very high concentrator solar cells by means of accelerated tests, a variety of activities, described in this Thesis have been carried out. The First Part of the memory presents the theoretical part of the Doctoral Thesis. After the Introduction, chapter 2 presents the state of the art in degradation and reliability of CPV systems and solar cells. Chapter 3 introduces some reliability definitions and the application of specific statistical functions to the evaluation of the reliability and parameters. From these functions, important parameters will be calculated to be used later in the experimental results of Thesis. The Second Part of the memory contains the experimental. Chapter 4 shows the types of accelerated tests and the main goals pursuit with them when carried out over CPV systems and solar cells. In order to evaluate quantitatively the reliability of the III-V concentrator solar cells used in these tests, some modifications have been introduced which discussion will be tackled here. Based on this analysis the working plan of the tests carried out in this Doctoral Thesis is presented. Chapter 5 presents a new methodology as well as the necessary instrumentation to carry out the tests described here. This new methodology takes into account the adaptation, improvement and novel techniques needed to test concentrator solar cells. The core of this memory is chapter 6, which presents the results of the characterization of the cells during the accelerated life tests and the analysis of the aforementioned results with the purpose of getting quantitative values of reliability in real working conditions. The acceleration factor of the accelerated life tests, under nominal working conditions has been calculated. Accordingly, the validity of the methodology as well as the calculations based on the reliability assessment, have also been demonstrated. Finally, quantitative values of degradation, reliability and warranty of the solar cells under field nominal working conditions have been calculated. With the development of this Doctoral Thesis the reliability of very high concentrator GaAs solar cells of small area has been evaluated. It is very interesting to generalize the procedures described up to this point to III-V multijunction solar cells of greater area. Therefore, chapter 7 develops this generalization and introduces also a useful thermal modeling by means of finite elements of the test cells’ circuits. In the last chapter, the summary of the results and the main contributions of this Thesis are outlined and future research activities are identified. RESUMEN Los Sistemas Fotovoltaicos de Concentración (SFC) han sido propuestos como una alternativa a los sistemas convencionales de generación de energía. Durante los últimos años ha habido un auge de los SFC debido a las mejoras tecnológicas en todos los elementos del sistema, y principalmente por el uso de células multiunión III-V que superan el 43% de rendimiento. Las células solares III-V han sido utilizadas con elevada fiabilidad en aplicaciones espaciales sin concentración, pero no existe experiencia de su fiabilidad en ambiente terrestre a altos niveles de concentración solar. Esta falta de experiencia junto al gran interés industrial ha generado la necesidad de evaluar la fiabilidad de las células, y actualmente hay un significativo número de centros de investigación trabajando en esta área. La evaluación de la fiabilidad de este tipo de dispositivos mediante ensayos acelerados es especialmente problemática cuando trabajan a media o alta concentración por la casi imposibilidad de emular las condiciones de trabajo reales de la célula dentro de cámaras climáticas. De hecho, que sepamos, en los resultados de esta Tesis se evalúa por primera vez la Energía de Activación del mecanismo de fallo de las células, así como la garantía en campo de las células de concentración III-V analizadas. Para evaluar la fiabilidad de células solares III-V de muy alta concentración mediante ensayos de vida acelerada se han realizado diversas actividades que han sido descritas en la memoria de la Tesis. En la Primera Parte de la memoria se presenta la parte teórica de la Tesis Doctoral. Tras la Introducción, en el capítulo 2 se muestra el estado del arte en degradación y fiabilidad de células y Sistemas Fotovoltaicos de Concentración. En el capítulo 3 se exponen de forma resumida las definiciones de fiabilidad y funciones estadísticas que se utilizan para la evaluación de la fiabilidad y sus parámetros, las cuales se emplearán posteriormente en los ensayos descritos en este Tesis. La Segunda Parte de la memoria es experimental. En el capítulo 4 se describen los tipos y objetivos de los ensayos acelerados actualmente aplicados a SFC y a las células, así como las modificaciones necesarias que permitan evaluar cuantitativamente la fiabilidad de las células solares de concentración III-V. En base a este análisis se presenta la planificación de los trabajos realizados en esta Tesis Doctoral. A partir de esta planificación y debido a la necesidad de adaptar, mejorar e innovar las técnicas de ensayos de vida acelerada para una adecuada aplicación a este tipo de dispositivos, en el capítulo 5 se muestra la metodología empleada y la instrumentación necesaria para realizar los ensayos de esta Tesis Doctoral. El núcleo de la memoria es el capítulo 6, en él se presentan los resultados de caracterización de las células durante los ensayos de vida acelerada y el análisis de dichos resultados con el objetivo de obtener valores cuantitativos de fiabilidad en condiciones reales de trabajo. Se calcula el Factor de Aceleración de los ensayos acelerados con respecto a las condiciones nominales de funcionamiento a partir de la Energía de Activación obtenida, y se demuestra la validez de la metodología y cálculos empleados, que son la base de la evaluación de la fiabilidad. Finalmente se calculan valores cuantitativos de degradación, fiabilidad y garantía de las células en condiciones nominales en campo durante toda la vida de la célula. Con el desarrollo de esta Tesis Doctoral se ha evaluado la fiabilidad de células III-V de área pequeña, pero es muy interesante generalizar los procedimientos aquí desarrollados para las células III-V comerciales de área grande. Por este motivo, en el capítulo 7 se analiza dicha generalización, incluyendo el modelado térmico mediante elementos finitos de los circuitos de ensayo de las células. En el último capítulo se realiza un resume del trabajo y las aportaciones realizadas, y se identifican las líneas de trabajo a emprender en el futuro.

Aplicación de un tratamiento biológico a las aguas residuales provenientes de una destilería de alcohol de caña, utilizando un reactor UASB

En este trabajo se llevó a cabo el tratamiento de vinazas mediante dos tecnologías anaerobias. Se dividió en cuatro estudios técnicos. El primero fue el arranque y estabilización del reactor UASB (Upflow Anaerobic Sludge Blanket), en dónde se evaluó la estabilización mediante la eficiencia de remoción de DQO y la granulación del lodo. El segundo estudio evaluó el rendimiento del reactor UASB frente a diferentes Cva. El tercer estudio evaluó el efecto del TRH sobre la eficiencia del reactor UASB, y el cuarto de ellos fue evaluar el rendimiento del RABF (Reactor Anaerobio de Biomasa Fija). El reactor UASB de 2,6 L de capacidad, fue arrancado por lotes, con seis ensayos utilizando vinaza como sustrato. Se obtuvieron eficiencias de remoción en DQO en un rango de 79-91%, en los seis lotes. Se obtuvo formación de gránulos con diámetro (Ø) de 0,85-1,15 mm y un coeficiente de esfericidad (Є) de 0,7-0,77. Se logró la granulación de lodos tras 2 meses de operación. Alcanzada la estabilización del reactor UASB, se siguió una operación en flujo continuo. Las Cva probadas de 1, 2, 4 y 6 gDQO/L.d para el reactor UASB dan una respuesta bastante favorable con respecto al rendimiento del reactor, ya que presento eficiencias de remoción de DQOs del 51 hasta el 76%, eficiencias similares a los reportados por la literatura. En el estudio de TRH se operó con Cva de 6 gDQO/L.d y los TRH fueron de 24, 12 ,5 ,3 y 1 día. El % de eliminación de DQO fue de 51, 60, 57, 60 y 63 % remoción en DQOsoluble, respectivamente. Se alcanzó una producción de biogás máximo de 5.283 ml/d, pero al reducir el TRH se observó una reducción proporcional del volumen total de biogás. El %CH4 contenido en el biogás aumento al disminuir el TRH, reflejando valores de 80 al 92 % de CH4. El RABF con un volumen de 8,2 L, utilizo tubos de plástico corrugado como medio de soporte para las bacterias. Se aplicaron las siguientes Cva; 0,5, 1, 3 y 6 gDQO/L.d. El reactor RABF presento una excelente remoción de la materia orgánica (80% DQOs), una producción de biogás estable, y un contenido en CH4 del biogás muy interesante. Sin embargo, para una Cva superior a 3 gDQO/L.d empezó un comportamiento inesperado de reducción de capacidad. Las condiciones hidrodinámicas del reactor UASB son decisivas para la formación de los gránulos, condición previa para iniciar el flujo continuo. Al operar el reactor UASB en modo continuo, se pudo evaluar las mejores condiciones de operación para este tipo de residuo (vinaza). La Cva de 6 gDQO/L.d para el reactor UASB alimentado con vinaza bruta representa el límite de su capacidad. Sin embargo, al aumentar la Cva se genera una mayor producción de biogás y metano. La eficiencia de remoción de la DQO soluble es independiente del TRH, para una Cva de 6 g DQO/L•d y las condiciones de TRH probadas (24, 12, 5, 3 y 1 días). Los valores de remoción de DQO alcanzados son un poco superior a los valores de biodegradabilidad anaerobia de la vinaza observados de 50 %. De manera general, la reducción del TRH o bien la dilución de la vinaza no presenta un efecto significativo sobre la remoción de la materia orgánica soluble, pero si lo presenta en la remoción de sulfatos reduciendo indirectamente su toxicidad. El soporte termoplástico inoculado en el RABF y alimentado con vinaza bruta, actuó como un filtro, además de obtener buenos resultados en eliminación de DQO, pero dada las dimensiones y la altura del relleno se frena la evacuación del metano. This work was carried out by treatment vinasses with two anaerobic technologies. It was divided into four technical studies. The first was the start up and stabilization Upflow Anaerobic Sludge Blanket (UASB) reactor, where the stability was evaluated by the removal efficiency of COD and sludge granulation. The second study evaluated the performance of the UASB reactor against different OLR. The third study evaluated the effect of HRT on the efficiency of the UASB reactor, and the fourth of which was evaluate the performance Fixed Biomass Anaerobic (FBA) reactor. The UASB reactor of 2,6 L capacity, was started in batch, with six assays using vinasse as substrate. Were obtained removal efficiencies of COD in the range of 79- 91% in the six batches. Forming granules were obtained with a diameter (Ø) of 0,85- 1,15 mm and sphericity coefficient (Є) of 0,7 to 0,77. Sludge granulation was achieved after 2 months of operation. Once stabilization is achieved of the UASB reactor, it was followed by a continuous flow operation. The OLR tested 1, 2, 4 and 6 gCOD/L.d for UASB reactor gives a very favorable response regarding the performance of the reactor, as presented COD5 removal efficiencies of 51 to 76%, similar efficiencies those reported in the literature The HRT study was operated with an OLR of 6 gCOD/L.d and HRT were 24, 12, 5, 3 and 1 day. The removal efficiency was 51, 60, 57, 60 and 63% in soluble COD, respectively. It reached a maximum biogas production of 5.283 ml / d, but by reducing the HRT showed a proportional reduction in the total volume of biogas. The %CH4 content in the biogas increased with decreasing TRH, reflecting values of 80 to 92% of CH4. The FBA reactor with a volume of 8,2 L, used corrugated plastic tubes as carrier for bacteria transportation. The following OLR was applied, 0,5, 1, 3 and 6 gCOD/L.d. The FBA reactor showed an excellent removal of organic matter (80% CODS), a stable biogas production, and CH4 content very interesting. However, for more than 3 gCOD/L.d OLR began with unexpected behavior of capacity reduction. The UASB reactor hydrodynamic conditions are decisive for the formation of the granules, precondition to start the continuous flow. By operating the UASB reactor in continuous mode, it was possible to evaluate the best operating conditions for this type of waste (vinasse). The OLR of 6 gCOD/L.d for the UASB reactor fed with raw vinasse represents the limit of its capacity. However, with increasing OLR creates increased biogas production and methane. The removal efficiency of soluble COD is independent of HRT for OLR of 6 gCOD/L.d and HRT conditions tested (24, 12, 5, 3 and 1 day). COD Removal values achieved are slightly higher than the values of the vinasse anaerobic biodegradability of observed at 50%. Generally, reduction of HRT or vinasse dilution does not present a significant effect on the removal of the soluble organic matter; however if it occurs in the removal of sulfate reducing indirectly its toxicity. The thermoplastic support inoculated in FBA reactor and fed with raw vinasse, acted as a filter, in addition to obtaining good results in COD removal, but given the size and height of the filling slows evacuation of methane.

Mixing effect on volume growth of Fagus sylvatica and Pinus sylvestris is modulated by stand density

Despite the increasing relevance of mixed stands due to their potential benefits; little information is available with regard to the effect of mixtures on yield in forest systems. Hence, it is necessary to study inter-specific relationships, and the resulting yield in mixed stands, which may vary with stand development, site or stand density, etc. In Spain, the province of Navarra is considered one of the biodiversity reservoirs; however, mixed forests occupy only a small area, probably as a consequence of management plans, in which there is an excessive focus on the productivity aspect, favoring the presence of pure stands of the most marketable species. The aim of this paper is to study how growth efficiencies of beech (Fagus sylvatica) and pine (Pinus sylvestris) are modified by the admixture of the other species and to determine whether stand density modifies interspecific relationships and to what extent. Two models were fitted from Spanish National Forest Inventory data, for P. sylvestris and F. sylvatica respectively, which relate the growth efficiency of the species, i.e. the volume increment of the species divided by the species proportion by area, with dominant height, quadratic mean diameter, stocking degree, and the species proportions by area of each species. Growth efficiency of pine increased with the admixture of beech, decreasing this positive effect when stocking degree increased. However, the positive effect of pine admixture on beech growth was greater at higher stocking degrees. Growth efficiency of beech was also dependent on stand dominant height, resulting in a net negative mixing effect when stand dominant heights and stocking degrees were simultaneously low. There is a relatively large range of species proportions and stocking degrees which results in transgressive overyielding: higher volume increments in mixed stands than that of the most productive pure pine stands. We concluded that stocking degree is a key factor in between-species interactions, being the effects of mixing not always greater at higher stand densities, but it depends on species composition.