Description of the behavior of dichloroalkanes-containing solutions with three [bXmpy][4] isomer, using the experimental information of thermodynamic properties, 1H-NMR spectral and the COSMO-RS methodology

[EN]This work studies the binaries of 1-butyl-X-methylpyridinium tetrafluoroborate [bXmpy][BF4] (X = 2, 3, and 4) with four 1,ω-dichloroalkanes, ω = 1−4, using the results obtained for the mixing properties hE and v E at two temperatures. The three isomers of the ionic liquid (IL) are weakly miscible with the 1,ω-dichloroalkanes when ω ≥ 5 and moderately soluble for ω = 4. The vE s of all the binaries present contractive effects, v E < 0, which are more pronounced with increasing temperature; the variation in vE with ω is positive, although this changes after ω = 4 due to problems of immiscibility

Assessing the activity coefficients of water in cholinium-based ionic liquids: experimental measurements and COSMO-RS modeling

The vapor liquid-equilibrium of water + ionic liquids is relevant for a wide range of applications of these compounds. It is usually measured by ebulliometric techniques, but these are time consuming and expensive. In this work it is shown that the activity coefficients of water in a series of cholinium-based ionic liquids can be reliably and quickly estimated at 298.15K using a humidity meter instrument. The cholinium based ionic liquids were chosen to test this experimental methodology since data for water activities of quaternary ammonium salts are available in the literature allowing the validation of the proposed technique. The COSMO-RS method provides a reliable description of the data and was also used to understand the molecular interactions occurring on these binary systems. The estimated excess enthalpies indicate that hydrogen bonding between water and ionic liquid anion is the dominant interaction that governs the behavior of water and cholinium-based ionic liquids systems, while the electrostatic-misfit and van der Walls forces have a minor contribution to the total excess enthalpies.

Interactions of pyridinium, pyrrolidinium or piperidinium based ionic liquids with water: measurements and COSMO-RS modelling

Looking for a better knowledge concerning water and ionic liquids (ILs) interactions, a systematic study of the activity coefficients of water in pyridinium, pyrrolidinium and piperidinium-based ILs at 298.2 K is here presented based on water activity measurements. Additionally, the study of the structural effects of the pyridinium-based cation is also pursued. The results show that non-aromatic ILs are interacting more with water than aromatic ones, and among the ortho, meta and para isomers of 1-butyl-methylpyridinium chloride, the ortho position confers a more hydrophilic character to that specific IL. The physicalchemistry of the solutions was interpreted based on dissociation constants, natural bond orbitals and excess enthalpies providing a sound basis for the interpretation of the experimental observations. These results show that hydrogen bonding controls the behavior of these systems, being the anion-water one of the most relevant interactions, but modulated by the anionecation interactions.

Optimización de operaciones unitarias utilizando líquidos iónicos como agentes materiales de separación

En este trabajo se estudia la modelización y optimización de procesos industriales de separación mediante el empleo de mezclas de líquidos iónicos como disolventes. Los disolventes habitualmente empleados en procesos de absorción o extracción suelen ser componentes orgánicos muy volátiles y dañinos para la salud humana. Las innovadoras propiedades que presentan los líquidos iónicos, los convierten en alternativas adecuadas para solucionar estos problemas. La presión de vapor de estos compuestos es muy baja y apenas varía con la temperatura. Por tanto, estos compuestos apenas se evaporan incluso a temperaturas altas. Esto supone una gran ventaja en cuanto al empleo de estos compuestos como disolventes industriales ya que permite el reciclaje continuo del disolvente al final del proceso sin necesidad de introducir disolvente fresco debido a la evaporación del mismo. Además, al no evaporarse, estos compuestos no suponen un peligro para la salud humana por inhalación; al contrario que otros disolventes como el benceno. El único peligro para la salud que tienen estos compuestos es por tanto el de contacto directo o ingesta, aunque de hecho muchos Líquidos Iónicos son inocuos con lo cual no existe peligro para la salud ni siquiera a través de estas vías. Los procesos de separación estudiados en este trabajo, se rigen por la termodinámica de fases, concretamente el equilibrio líquido-vapor. Para la predicción de los equilibrios se ha optado por el empleo de modelos COSMO (COnductor-like Screening MOdel). Estos modelos tienen su origen en el empleo de la termodinámica de solvatación y en la mecánica cuántica. En el desarrollo de procesos y productos, químicos e ingenieros frecuentemente precisan de la realización de cálculos de predicción de equilibrios de fase. Previamente al desarrollo de los modelos COSMO, se usaban métodos de contribución de grupos como UNIFAC o modelos de coeficientes de actividad como NRTL.La desventaja de estos métodos, es que requieren parámetros de interacción binaria que únicamente pueden obtenerse mediante ajustes por regresión a partir de resultados experimentales. Debido a esto, estos métodos apenas tienen aplicabilidad para compuestos con grupos funcionales novedosos debido a que no se dispone de datos experimentales para llevar a cabo los ajustes por regresión correspondientes. Una alternativa a estos métodos, es el empleo de modelos de solvatación basados en la química cuántica para caracterizar las interacciones moleculares y tener en cuenta la no idealidad de la fase líquida. Los modelos COSMO, permiten la predicción de equilibrios sin la necesidad de ajustes por regresión a partir de resultados experimentales. Debido a la falta de resultados experimentales de equilibrios líquido-vapor de mezclas en las que se ven involucrados los líquidos iónicos, el empleo de modelos COSMO es una buena alternativa para la predicción de equilibrios de mezclas con este tipo de materiales. Los modelos COSMO emplean las distribuciones superficiales de carga polarizada (sigma profiles) de los compuestos involucrados en la mezcla estudiada para la predicción de los coeficientes de actividad de la misma, definiéndose el sigma profile de una molécula como la distribución de probabilidad de densidad de carga superficial de dicha molécula. Dos de estos modelos son COSMO-RS (Realistic Solvation) y COSMO-SAC (Segment Activity Coefficient). El modelo COSMO-RS fue la primera extensión de los modelos de solvatación basados en continuos dieléctricos a la termodinámica de fases líquidas mientras que el modelo COSMO-SAC es una variación de este modelo, tal y como se explicará posteriormente. Concretamente en este trabajo se ha empleado el modelo COSMO-SAC para el cálculo de los coeficientes de actividad de las mezclas estudiadas. Los sigma profiles de los líquidos iónicos se han obtenido mediante el empleo del software de química computacional Turbomole y el paquete químico-cuántico COSMOtherm. El software Turbomole permite optimizar la geometría de la molécula para hallar la configuración más estable mientras que el paquete COSMOtherm permite la obtención del perfil sigma del compuesto mediante el empleo de los datos proporcionados por Turbomole. Por otra parte, los sigma profiles del resto de componentes se han obtenido de la base de datos Virginia Tech-2005 Sigma Profile Database. Para la predicción del equilibrio a partir de los coeficientes de actividad se ha empleado la Ley de Raoult modificada. Se ha supuesto por tanto que la fracción de cada componente en el vapor es proporcional a la fracción del mismo componente en el líquido, dónde la constante de proporcionalidad es el coeficiente de actividad del componente en la mezcla multiplicado por la presión de vapor del componente y dividido por la presión del sistema. Las presiones de vapor de los componentes se han obtenido aplicando la Ley de Antoine. Esta ecuación describe la relación entre la temperatura y la presión de vapor y se deduce a partir de la ecuación de Clausius-Clapeyron. Todos estos datos se han empleado para la modelización de una separación flash usando el algoritmo de Rachford-Rice. El valor de este modelo reside en la deducción de una función que relaciona las constantes de equilibrio, composición total y fracción de vapor. Para llevar a cabo la implementación del modelado matemático descrito, se ha programado un código empleando el software MATLAB de análisis numérico. Para comprobar la fiabilidad del código programado, se compararon los resultados obtenidos en la predicción de equilibrios de mezclas mediante el código con los resultados obtenidos mediante el simulador ASPEN PLUS de procesos químicos. Debido a la falta de datos relativos a líquidos iónicos en la base de datos de ASPEN PLUS, se han introducido estos componentes como pseudocomponentes, de manera que se han introducido únicamente los datos necesarios de estos componentes para realizar las simulaciones. El modelo COSMO-SAC se encuentra implementado en ASPEN PLUS, de manera que introduciendo los sigma profiles, los volúmenes de la cavidad y las presiones de vapor de los líquidos iónicos, es posible predecir equilibrios líquido-vapor en los que se ven implicados este tipo de materiales. De esta manera pueden compararse los resultados obtenidos con ASPEN PLUS y como el código programado en MATLAB y comprobar la fiabilidad del mismo. El objetivo principal del presente Trabajo Fin de Máster es la optimización de mezclas multicomponente de líquidos iónicos para maximizar la eficiencia de procesos de separación y minimizar los costes de los mismos. La estructura de este problema es la de un problema de optimización no lineal con variables discretas y continuas, es decir, un problema de optimización MINLP (Mixed Integer Non-Linear Programming). Tal y como se verá posteriormente, el modelo matemático de este problema es no lineal. Por otra parte, las variables del mismo son tanto continuas como binarias. Las variables continuas se corresponden con las fracciones molares de los líquidos iónicos presentes en las mezclas y con el caudal de la mezcla de líquidos iónicos. Por otra parte, también se ha introducido un número de variables binarias igual al número de líquidos iónicos presentes en la mezcla. Cada una de estas variables multiplican a las fracciones molares de sus correspondientes líquidos iónicos, de manera que cuando dicha variable es igual a 1, el líquido se encuentra en la mezcla mientras que cuando dicha variable es igual a 0, el líquido iónico no se encuentra presente en dicha mezcla. El empleo de este tipo de variables obliga por tanto a emplear algoritmos para la resolución de problemas de optimización MINLP ya que si todas las variables fueran continuas, bastaría con el empleo de algoritmos para la resolución de problemas de optimización NLP (Non-Linear Programming). Se han probado por tanto diversos algoritmos presentes en el paquete OPTI Toolbox de MATLAB para comprobar cuál es el más adecuado para abordar este problema. Finalmente, una vez validado el código programado, se han optimizado diversas mezclas de líquidos iónicos para lograr la máxima recuperación de compuestos aromáticos en un proceso de absorción de mezclas orgánicas. También se ha usado este código para la minimización del coste correspondiente a la compra de los líquidos iónicos de la mezcla de disolventes empleada en la operación de absorción. En este caso ha sido necesaria la introducción de restricciones relativas a la recuperación de aromáticos en la fase líquida o a la pureza de la mezcla obtenida una vez separada la mezcla de líquidos iónicos. Se han modelizado los dos problemas descritos previamente (maximización de la recuperación de Benceno y minimización del coste de operación) empleando tanto únicamente variables continuas (correspondientes a las fracciones o cantidades molares de los líquidos iónicos) como variables continuas y binarias (correspondientes a cada uno de los líquidos iónicos implicados en las mezclas).

Gas Solubility and Vapor Pressure of Electrolytes Based on Alkylcarbonates Containing Litfsi, Lifap, and LiPF6 Lithium Salt: Measurement and Prediction

Most liquid electrolytes used in commercial lithium-ion batteries are composed by alkylcarbonate mixture containing lithium salt. The decomposition of these solvents by oxidation or reduction during cycling of the cell, induce generation of gases (CO2, CH4, C2H4, CO …) increasing of pressure in the sealed cell, which causes a safety problem [1]. The prior understanding of parameters, such as structure and nature of salt, temperature pressure, concentration, salting effects and solvation parameters, which influence gas solubility and vapor pressure of electrolytes is required to formulate safer and suitable electrolytes especially at high temperature.

We present in this work the CO2, CH4, C2H4, CO solubility in different pure alkyl-carbonate solvents (PC, DMC, EMC, DEC) and their binary or ternary mixtures as well as the effect of temperature and lithium salt LiX (X = LiPF6, LiTFSI or LiFAP) structure and concentration on these properties. Furthermore, in order to understand parameters that influence the choice of the structure of the solvents and their ability to dissolve gas through the addition of a salt, we firstly analyzed experimentally the transport properties (Self diffusion coefficient (D), fluidity (h-1), and conductivity (s) and lithium transport number (tLi) using the Stock-Einstein, and extended Jones-Dole equations [2]. Furthermore, measured data for the of CO2, C2H4, CH4 and CO solubility in pure alkylcarbonates and their mixtures containing LiPF6; LiFAP; LiTFSI salt, are reported as a function of temperature and concentration in salt. Based on experimental solubility data, the Henry’s law constant of gases in these solvents and electrolytes was then deduced and compared with values predicted by using COSMO-RS methodology within COSMOthermX software. From these results, the molar thermodynamic functions of dissolution such as the standard Gibbs energy, the enthalpy, and the entropy, as well as the mixing enthalpy of the solvents and electrolytes with the gases in its hypothetical liquid state were calculated and discussed [3]. Finally, the analysis of the CO2 solubility variations with the salt addition was then evaluated by determining specific ion parameters Hi by using the Setchenov coefficients in solution. This study showed that the gas solubility is entropy driven and can been influenced by the shape, charge density, and size of the anions in lithium salt.

References

[1] S.A. Freunberger, Y. Chen, Z. Peng, J.M. Griffin, L.J. Hardwick, F. Bardé, P. Novák, P.G. Bruce, Journal of the American Chemical Society 133 (2011) 8040-8047.

[2] P. Porion, Y.R. Dougassa, C. Tessier, L. El Ouatani, J. Jacquemin, M. Anouti, Electrochimica Acta 114 (2013) 95-104.

[3] Y.R. Dougassa, C. Tessier, L. El Ouatani, M. Anouti, J. Jacquemin, The Journal of Chemical Thermodynamics 61 (2013) 32-44.

Probing the interactions between ionic liquids and water: experimental and quantum chemical approach

For an adequate choice or design of ionic liquids, the knowledge of their interaction with other solutes and solvents is an essential feature for predicting the reactivity and selectivity of systems involving these compounds. In this work, the activity coefficient of water in several imidazolium-based ionic liquids with the common cation 1-butyl-3-methylimidazolium was measured at 298.2 K. To contribute to a deeper insight into the interaction between ionic liquids and water, COSMO-RS was used to predict the activity coefficient of water in the studied ionic liquids along with the excess enthalpies. The results showed good agreement between experimental and predicted activity coefficient of water in ionic liquids and that the interaction of water and ionic liquids was strongly influenced by the hydrogen bonding of the anion with water. Accordingly, the intensity of interaction of the anions with water can be ranked as the following: [CF3SO3](-) < [SCN](-) < [TFA](-) < Br(-) < [TOS](-) < Cl(-) < [CH3SO3](-) [DMP](-) < [Ac](-). In addition, fluorination and aromatization of anions are shown to reduce their interaction with water. The effect of temperature on the activity coefficient of water at infinite dilution was measured by inverse gas chromatography and predicted by COSMO-RS. Further analysis based on COSMO-RS provided information on the nature of hydrogen bonding between water and anion as well as the possibility of anion-water complex formation.

Designing ionic liquids for absorptive cooling

A computational methodology for designing ionic liquids (ILs) with an enhanced water absorption capacity to be used in absorption-refrigeration systems is presented here. It is based on increasing the hydrogen bond (HB)-acceptor ability of the anion and combining it with a cation that presents a weak cation-anion interaction. Employing this strategy, we identified and prepared three novel dianionic ILs with an enhanced water absorption capacity, larger than LiBr.

Evaluation of the conductor-like screening model for real solvents for the prediction of the water activity coefficient at infinite dilution in ionic liquids

Ionic liquids (ILs) have attracted great attention, from both industry and academia, as alternative fluids for very different types of applications. The large number of cations and anions allow a wide range of physical and chemical characteristics to be designed. However, the exhaustive measurement of all these systems is impractical, thus requiring the use of a predictive model for their study. In this work, the predictive capability of the conductor-like screening model for real solvents (COSMO-RS), a model based on unimolecular quantum chemistry calculations, was evaluated for the prediction water activity coefficient at infinite dilution, gamma(infinity)(w), in several classes of ILs. A critical evaluation of the experimental and predicted data using COSMO-RS was carried out. The global average relative deviation was found to be 27.2%, indicating that the model presents a satisfactory prediction ability to estimate gamma(infinity)(w) in a broad range of ILs. The results also showed that the basicity of the ILs anions plays an important role in their interaction with water, and it considerably determines the enthalpic behavior of the binary mixtures composed by Its and water. Concerning the cation effect, it is possible to state that generally gamma(infinity)(w) increases with the cation size, but it is shown that the cation-anion interaction strength is also important and is strongly correlated to the anion ability to interact with water. The results here reported are relevant in the understanding of ILs-water interactions and the impact of the various structural features of its on the gamma(infinity)(w) as these allow the development of guidelines for the choice of the most suitable lLs with enhanced interaction with water.

Impact of the cation symmetry on the mutual solubilities between water and imidazolium-based ionic liquids

Aiming at the evaluation of the impact of the ionic liquids (ILs) cation symmetry on their phase behaviour, in this work, novel mutual solubilities with water of the symmetric series of [C(n)C(n)im][NTf2] (with n=1-5) were determined and compared with their isomeric forms of the asymmetric [C(n)C(1)im][NTf2] group. While the solubility of isomeric ILs in water was found to be similar, the solubility of water in ILs follows the same trend up to a maximum cation alkyl side chain length. For n >= 4 in [C(n)C(n)im][NTf2] the solubility of water in the asymmetric ILs is slightly higher than that observed in the symmetric counterparts. The thermodynamic properties of solution and solvation derived from the experimental solubility data of ILs in water at infinite dilution, namely the Gibbs energy, enthalpy and entropy were used to evaluate the cation symmetry effect on the ILs solvation. It is shown that the solubility of ILs in water is entropically driven and highly influenced by the cation size. Accordingly, it was found that the ILs solubility in water of both symmetric and asymmetric series depends on their molecular volume. Based on these findings, a linear correlation between the logarithm of the solubility of ILs in water and their molar volume is here proposed for the [NTf2]-based ILs at a fixed temperature.

Effect of the cation on the interactions between alkyl methyl imidazolium chloride ionic liquids and water

A systematic study of the interactions between water and alkyl methyl imidazolium chloride ionic liquids at 298.2 K, based on activity coefficients estimated from water activity measurements in the entire solubility range, is presented. The results show that the activity coefficients of water in the studied ILs are controlled by the hydrophilicity of the cation and the cation-anion interaction. To achieve a deeper understanding on the interactions between water and the ILs, COSMO-RS and FTIR spectroscopy were also applied. COSMO-RS was used to predict the activity coefficient of water in the studied ionic liquids along with the excess enthalpies, suggesting the formation of complexes between three molecules of water and one IL molecule. On the basis of quantum-chemical calculations, it is found that cation-anion interaction plays an important role upon the ability of the IL anion to interact with water. The changes in the peak positions/band areas of OH vibrational modes of water as a function of IL concentration were investigated, and the impact of the cation on the hydrogen-bonding network of water is identified and discussed.

Analysis of the isomerism effect on the mutual solubilities of bis(trifluoromethylsulfonyl)imide-based ionic liquids with water

The knowledge of the liquid-liquid equilibria (LLE) between ionic liquids (ILs) and water is of utmost importance for environmental monitoring, process design and optimization. Therefore, in this work, the mutual solubilities with water, for the ILs combining the 1-methylimidazolium, [C(1)im](+); 1-ethylimidazolium, [C(2)im](+); 1-ethyl-3-propylimidazolium, [C(2)C(3)im](+); and 1-butyl-2,3-dimethylimidazolium, [C(4)C(1)C(1)im](+) cations with the bis(trifluoromethylsulfonyl)imide anion, were determined and compared with the isomers of the symmetric 1,3-dialkylimidazolium bis(trifluoromethylsulfonyl)imide ([C(n)C(n)im][NTf2], with n=1-3) and of the asymmetric 1-alkyl-3-methylimidazolium bis(trifluoromethylsulfonyl)imide ([C(n)C(1)im][NTf2], with n = 2-5) series of ILs. The results obtained provide a broad picture of the impact of the IL cation structural isomerism, including the number of alkyl side chains at the cation, on the water-IL mutual solubilities. Despite the hydrophobic behaviour associated to the [NTf2](-) anion, the results show a significant solubility of water in the IL-rich phase, while the solubility of ILs in the water-rich phase is much lower. The thermodynamic properties of solution indicate that the solubility of ILs in water is entropically driven and highly influenced by the cation size. Using the results obtained here in addition to literature data, a correlation between the solubility of [NTf2]-based ILs in water and their molar volume, for a large range of cations, is proposed. The COnductor like Screening MOdel for Real Solvents (COSMO-RS) was also used to estimate the LLE of the investigated systems and proved to be a useful predictive tool for the a priori screening of ILs aiming at finding suitable candidates before extensive experimental measurements.

Computational and experimental study of the behavior of cyano-based ionic liquids in aqueous solution

The solvation of cyano- (CN-) based ionic liquids (ILs) and their capacity to establish hydrogen bonds (H-bonds) with water was studied by means of experimental and computational approaches. Experimentally, water activity data were measured for aqueous solutions of ILs based on 1-butyl-3-methylimidazolium ([BMIM](+)) cation combined with one of the following anions: thiocyanate ([SCN](-)), dicyanamide ([DCA](-)), or tricyanomethanide ([TCM](-)), and of 1-ethyl-3-methylimidazolium tetracyanoborate ([EMIM][TCB]). From the latter data, water activity coefficients were estimated showing that [BMIM][SCN] and [BMIM][DCA], unlike [BMIM][TCM] and [EMIM][TCB], are able to establish favorable interactions with water. Computationally, the conductor like screening model for real solvents (COSMO-RS) was used to estimate the water activity coefficients which compare well with the experimental ones. From the COSMO-RS results, it is suggested that the polarity of each ion composing the ILs has a strong effect on the solvation phenomena. Furthermore, classical molecular dynamics (MD) simulations were performed for obtaining an atomic level picture of the local molecular neighborhood of the different species. From the experimental and computational data it is showed that increasing the number of CN groups in the ILs' anions does not enhance their ability to establish H-bonds with water but decreases their polarities, being [BMIM][DCA] and [BMIM][SCN] the ones presenting higher propensity to interact.

Selection of ionic liquids to be used as separation agents for terpenes and terpenoids

In this work, ionic liquids are evaluated for the first time as solvents for extraction and entrainers in separation processes involving terpenes and terpenoids. For that purpose, activity coefficients at infinite dilution, γ13 ∞, of terpenes and terpenoids, in the ionic liquids [C4mim]Cl, [C4mim][CH3SO3], [C4mim][(CH3)2PO4] and [C4mim][CF3SO3] were determined by gas−liquid chromatography at six temperatures in the range 398.15 to 448.15 K. On the basis of the experimental values, a correlation of γ13 ∞ with an increase of the solubility parameters is proposed. The infinite dilution thermodynamic functions were calculated showing the entropic effect is dominant over the enthalpic. Gas−liquid partition coefficients give indications about the recovery and purification of terpenes and terpenoids from ionic liquid solutions. Presenting a strong innovative character, COSMO-RS was evaluated for the description of the selectivities and capacities, showing to be a useful tool for the screening of ionic liquids in order to find suitable candidates for terpenes and terpenoids extraction, and separation. COSMO-RS predictions show that in order to achieve the maximum separation efficiency, polar anions should be used such as bis(2,4,4-trimethylpentyl)phosphinate or acetate, whereas high capacities require nonpolar cations such as phosphonium.

Aqueous solubilities of five N-(diethylaminothiocarbonyl)benzimido derivatives at T = 298.15 K

N-(diethylaminothiocarbonyl)benzimido derivatives are polar multifunctional substances. A set of these compounds was synthesised by successive substitution on the enamine side, resulting in similar substances with different polarities, providing a set of model compounds with respect to the study of substituent effects on physico-chemical properties. Experimental aqueous solubility data, at T = 298.15 K, of N-(diethylaminothiocarbonyl)benzamidine, PhCNH2NCSNEt2 (1),N-(diethylaminothiocarbonyl)-N'-phenylbenzamidine, PhCNHPhNCSNEt2 (2), N-(diethylaminothiocarbonyl)-N'-monoethylbenzamidine, PhCNHEtNCSNEt2 (3), N-(diethylaminothiocarbonyl)-N',N'-diethylbenzamidine, PhCNEt2NCSNEt2 (4), and N-(diethylaminothiocarbonyl)benzimido ethylester, PhCOEtNCSNEt2 (5) were measured at T = 298.15 K. The obtained data are supplemented by COSMO-RS aqueous solubility predictions as well as other environmentally important partition coefficients. This information is shown in a two-dimensional chemical space diagram, providing indications about the compartment into which the bulk of the compounds is likely to concentrate. The expected quality of COSMO-RS predictions for this type of screening exercise is illustrated on a set of pesticides with established thermophysical property data.

Variabilidade amostral das séries mensais de precipitação pluvial em duas regiões do Brasil: Pelotas-RS e Campinas-SP

O presente trabalho avaliou a variabilidade amostral dos parâmetros da distribuição gama, relativos a séries mensais de precipitação pluvial, nas regiões de Campinas-SP e Pelotas-RS, que têm dados para os períodos de 1890-2006 e 1890-2005, respectivamente. Assim, os espaços amostrais considerados foram de 58, 39 e 29 anos para Campinas e 58 e 29 anos para Pelotas. As análises foram feitas usando o teste da razão da máxima verossimilhança. Os resultados apontaram significativas alterações amostrais. Não houve indicações de tendências contínuas (redução ou aumento) no regime mensal de precipitação pluvial na região de Campinas-SP. Em contrapartida, esse teste indicou, para a localidade de Pelotas-RS, tendência de elevação no regime desse elemento meteorológico ocorrida entre as amostras relativas aos anos de 1948 a 1976 e 1977 a 2005.