Application of mixed order rate equations to adsorption of methylene blue on mesoporous carbons

Static and kinetic studies on adsorption of methylene blue on four synthesized mesoporous carbons are presented. The carbon properties are analyzed by means of nitrogen adsorption. The static experiments are analyzed by means of Langmuir-Freundlich and Freundlich isotherms. The Lagergren, pseudo-second-order and mixed order as well as the multi-exponent equations are used in analysis of kinetic equilibria. The properties of rate equations are compared and analyzed.     

Kinetics of the surface charging of a semiconductor during adsorption

The kinetic characteristics of the surface charging of a semiconductor during adsorption are analyzed, due allowance being made for the recharging of the biographic surface states during the adsorption process. It is shown that the form of the kinetic curves depends very substantially on the relationship between the characteristic relaxation times of the adsorption and biographic surface states.     

Adsorptive removal of anionic dyes by modified nanoporous silica SBA-3

Batch sorption experiments were carried out to remove dyes, methyl orange (MO), orange G (OG) and brilliant red X-3B (X-3B), from their aqueous solutions using a mesoporous silica SBA-3 as an adsorbent. The effect of surfactant template in SBA-3 on the removal of OG, MO and X-3B was investigated. Experiments were carried out to investigate the influence of contact time, initial concentration, pH, and adsorbent dosage on the adsorption performance. The adsorption results of anionic dyes on the uncalcined SBA-3 (noted as SBA-3) were compared with those of the calcined SBA-3 (noted as C-SBA-3). The uncalcined SBA-3 adsorbent has a large adsorption capacity and a strong affinity for the anionic dyes. Langmuir, Freundlich and Temkin isotherms were employed to model the experimental results, from which the Freundlich isotherm exhibited the most appropriate to predict the same. Freundlich isotherm exhibited the most appropriate to predict the experimental results. The kinetic data were also analyzed through pseudo-first-order and pseudo-second-order models. The pseudo-second-order kinetic model well depicted the kinetics of dyes adsorption on mesoporous SBA-3.     

Entropic effects in diffusion-adsorption processes in micropores

We analyze the kinetics of diffusion-adsorption processes of one component systems in micropores. In realistic situations, the pores exhibit irregular forms which give rise to inhomogeneous adsorption with preferred sites for the adsorbing particles. By modeling the tortuosity of the pores by means of entropic barriers, we obtain a kinetic equation for the averaged concentration of particles along the pore and on its surface. The analysis performed yields expressions for the adsorption rate, the effective diffusion coeffcient, the adsorption isotherms and the concentration of the adsorbed particles. It is shown that this last quantity strongly depends on the form of the pore. This feature opens the possibility to design micropores with an optimal adsorption rate at selected sites. Our results show that to consider the geometry of the pore in the reaction-diffusion scheme is crucial to reproduce experimental observations of the concentration of adsorbed particles in micropores.     

Studies of adsorption kinetics by means of the stochastic numerical simulation

This paper surveys the methods used in the theoretical studies of kinetics with a special emphasis on the works dealing with the stochastic methods and their application in studies of adsorption kinetics. One of the stochastic methods — Monte Carlo numerical simulation of the stochastic time evolution — is mainly discussed. Numerous studies show that this method, introduced by Gillespie [J. Comput. Phys. 22 (1976) 403], is very useful to investigate the adsorption kinetics. The systematic studies of adsorption kinetics of single gases and gas mixtures on solid surfaces are presented. The kinetic adsorption isotherms, involving the lateral interactions between molecules in the surface phase, energetic heterogeneity of the adsorbent surface and surface diffusion, are numerically simulated by means of the numerical program, which is presented in the appendix. These simulations show influence of the adsorbent heterogeneity, lateral interactions and surface diffusion on the adsorption kinetics.     

Screening and optimization of highly effective ultrasound-assisted simultaneous adsorption of cationic dyes onto Mn-doped Fe3O4-nanoparticle-loaded activated carbon

The ultrasound-assisted simultaneous adsorption of brilliant green (BG) and malachite green (MG) onto Mn-doped Fe₃O₄ nanoparticle-loaded activated carbon (Mn-Fe₃O₄-NP-AC) as a novel adsorbent was investigated and analyzed using first derivative spectrophotometry. The adsorbent was characterized using FT-IR, FE-SEM, EDX and XRD. Plackett–Burman design was applied to reduce the total number of experiments and to optimize the ultrasound-assisted simultaneous adsorption procedure, where pH, adsorbent mass and sonication time (among six tested variables) were identified as the most significant factors. The effects of significant variables were further evaluated by a central composite design under response surface methodology. The significance of independent variables and their interactions was investigated by means of the analysis of variance (ANOVA) within 95% confidence level together with Pareto chart. Using this statistical tool, the optimized ultrasound-assisted simultaneous removal of basic dyes was obtained at 7.0, 0.02 g, 3 min for pH, adsorbent mass, and ultrasonication time, respectively. The maximum values of BG and MG uptake under these experimental conditions were found to be 99.50 and 99.00%, respectively. The adsorption process was found to be followed by the Langmuir isotherm and pseudo-second order model using equilibrium and kinetic studies, respectively. According to Langmuir isotherm model, the maximum adsorption capacities of the adsorbent were obtained to be 101.215 and 87.566 mg g⁻¹ for MG and BG, respectively. The value of apparent energy of adsorption obtained from non-linear Dubinin–Radushkevich model (4.348 and 4.337 kJ mol⁻¹ for MG and BG, respectively) suggested the physical adsorption of the dyes. The studies on the well regenerability of the adsorbent in addition to its high adsorption capacity make it promising for such adsorption applications.     

First-principles study of carbon atoms adsorbed on MgO(100) related to graphene growth

We have performed density functional theory calculations to understand the initial growth of graphene by studying the adsorption of carbon atoms on the oxide substrates such as magnesium oxide. For adsorption behaviors of carbon atoms on the MgO(100) surface, their adsorption geometries and binding energies are calculated. The binding of a carbon atom is the most stable at the on-top oxygen site on MgO(100). Such strong C–O binding is analyzed by examining the projected density of states. Then, we also increase the number of carbon atoms on MgO(100) to investigate their adsorption behaviors. Due to strong binding between carbon atoms, adsorbed carbon atoms form chain-like or graphene-like structures on the surface. Combined with relatively strong C–O binding, this result may explain the graphene growth on MgO(100) observed in available experiments.     

Multi-site kinetic Monte Carlo simulations of thermal desorption spectroscopy data

Presented is a kinetic Monte Carlo simulation (KMCS) algorithm for simulating experimental thermal desorption spectroscopy (TDS) data. The KMCS is based on the Master equation approach and applies a first-passage-time analysis, i.e., the time dependence of the kinetics is matched correctly. The KMCS–TDS scheme used here includes multiple kinetically distinct adsorption sites and the effect of lateral interactions as required for fitting experimental data. After the results of extensive tests of the algorithm by means of synthetic data are discussed, experimental TDS curves are reproduced by the KMCS. Two applications are demonstrated: iso-butane adsorption on ZnO(0 0 0 1)–Zn and n-pentane adsorption on carbon nanotubes.     

Adsorption kinetics of 4-chlorophenol onto granular activated carbon in the presence of high frequency ultrasound

This work describes the results of investigations carried out to examine the adsorption kinetics of 4-chlorophenol (4-CP) from aqueous solution containing tert-butyl alcohol (10%, v/v) onto granular activated carbon (GAC) in the presence of ultrasound of different high frequencies (516, 800 and 1660 kHz) and acoustic powers (15.2, 21.5, 31.1 and 38.3 W). The main objective of this study is to describe the mechanism of ultrasound-assisted adsorption rather than the enhancement of adsorption capacity. Sonochemical degradation of 4-CP was studied in the absence and presence of tert-butyl alcohol. The sonolysis of 4-CP is effectively inhibited by the addition of tert-butyl alcohol (10%, v/v) and very little 4-CP degradation occurs, indicating that little or no pyrolysis of the compound occurs. Without addition of tert-butyl alcohol, after 300 min and at 1660 kHz, the removal of 4-CP in the presence of ultrasound for an acoustic power of 38.3 W was nearly total (99%), but in the conventional method only 60% was eliminated. In this case, the removal of 4-CP by GAC in the ultrasound-assisted technique is due to both adsorption and ultrasonic degradation, but the removal by simple stirring is only due to adsorption, which makes a direct comparison unacceptable. In order to distinguish sonochemical degradation and adsorption of 4-CP onto GAC and to make an exact and practical comparison of the adsorption in the absence and presence of ultrasound, kinetic adsorption experiments were conducted using aqueous solution containing 10% (v/v) tert-butyl alcohol. The obtained results show that both adsorption rate and adsorbed amount were significantly enhanced and improved in the presence of ultrasound for all the studied frequencies and powers. The enhancement of adsorption is favored by increasing ultrasonic power. Adsorption kinetic data were modeled using the liquid-film mass transfer equation and intraparticle diffusion model. The values of the intraparticle diffusion coefficient obtained in the presence of ultrasound are greater than that obtained in the absence of ultrasound. In the initial period of adsorption, where external mass transfer is assumed to predominate, liquid-film mass transfer coefficients significantly increased by the assistance of ultrasound. These results indicate that ultrasound enhances the mass transport in the pores as well as across the boundary layer. This effect increased with increasing ultrasonic power for the three studied frequencies. The average order for the studied ultrasonic waves according to the initial adsorption rate, the intraparticle diffusion coefficient and the liquid-film mass transfer coefficient is 516 kHz>800 kHz>1660 kHz.     

Laboratory modeling of the interaction of electron beams with a magnetoplasma

We present the results of laboratory experiments in which the mechanisms of interaction of electron beams with whistler waves in a magnetoplasma are studied. Different mechanisms of whistler generation during the injection of a modulated electron beam in the plasma are studied, and the mechanism of conversion of the beam kinetic energy to radiation is demonstrated. The processes of whistler wave generation by the modulated beam at the ˇ Cerenkov and Doppler resonances are analyzed in detail. The excitation of whistler waves by means of a nonresonant mechanism of the transition radiation is studied.     

分光光度法研究粉煤灰对亚甲基蓝的吸附及其机理研究

以龙岩雁石火电厂粉煤灰对亚甲基蓝进行吸附实验,探讨了改性粉煤灰、粉煤灰用量、吸附时间、温度对亚甲基蓝吸附的影响。当粉煤灰投加量为4g/L,亚甲基蓝浓度15mg/L,常温条件下,在60min左右,亚甲基蓝降解率达到了98%以上。结果表明,利用粉煤灰处理亚甲基蓝,具有处理效果好、简单,经济等特点。利用Freundlich等温式和Langmuir等温式对其吸附行为进行描述,表明粉煤灰易于吸附亚甲基蓝,吸附属于化学吸附;用颗粒内扩散方程和准二级吸附动力学方程对实验数据进行回归分析,更好地描述亚甲基蓝在粉煤灰上的吸附。准二级吸附动力学方程能够反映亚甲基蓝在粉煤灰上的吸附机理,准二级吸附速率常数k2=0.5758g/(mg.min)。本研究为粉煤灰处理印染废水提供了理论依据和实践依据。     

Tween-40 as corrosion inhibitor for cold rolled steel in sulphuric acid: Weight loss study, electrochemical characterization, and AFM

The inhibition action of a non-ionic surfactant of tween-40 on the corrosion of cold rolled steel (CRS) in 0.5-7.0 M sulphuric acid (H₂SO₄) was studied by weight loss and potentiodynamic polarization methods. Atomic force microscope (AFM) provided the surface conditions. The inhibition efficiency increases with the tween-40 concentration, while decreases with the sulphuric acid concentration. The adsorption of inhibitor on the cold rolled steel surface obeys the Langmuir adsorption isotherm equation. Effect of immersion time was studied and discussed. The effect of temperature on the corrosion behavior of cold rolled steel was also studied at four temperatures ranging from 30 to 60 °C, the thermodynamic parameters such as adsorption heat, adsorption free energy and adsorption entropy were calculated. A kinetic study of cold rolled steel in uninhibited and inhibited acid was also discussed. The kinetic parameters such as apparent activation energy, pre-exponential factor, rate constant, and reaction constant were calculated for the reactions of corrosion. The inhibition effect is satisfactorily explained by both thermodynamic and kinetic parameters. Polarization curves show that tween-40 is a cathodic-type inhibitor in sulphuric acid. The results obtained from weight loss and potentiodynamic polarization are in good agreement, and the tween-40 inhibition action could also be evidenced by surface AFM images.     

CH_4/H_2O/CO_2在β-SiO_2(100)面吸附的第一性原理研究

多孔介质中的吸附直接影响页岩气赋存、运移.基于密度泛函理论从量子力学角度研究CH_4/H_2O/CO_2在页岩储层主体矿物成分SiO_2上的吸附构型和吸附特性,计算并分析了吸附能与态密度等特征.研究表明:CH_4、H_2O和CO_2在β-SiO_2(100)面的吸附能分布在-0.2 eV～-0.1eV区间内,为物理吸附;最小吸附能大小依次为:CH_4 H_2O CO_2,即,CO_2的吸附能力最强,H_2O次之,CH_4最弱;各吸附质处于吸附能最大与最小时的键长键角变化均小于1%,最大吸附能对应的吸附质键长键角变化率均大于吸附能最小时的,吸附质的物理结构变化微弱表明其所受作用力微弱;基底处于最稳定吸附位时态密度基本重合,表明各吸附质与β-SiO_2表面相互作用相似且差异较小;CH_4、H_2O、CO_2的态密度均出现不同程度偏移,且CO_2在能量更低的区域具有态密度分布,更易优先吸附.     

Adsorption mechanisms of translationally-energetic O2 and N2: direct dissociation versus direct molecular chemisorption

A direct dissociation mechanism has been traditionally assigned to molecular beam data that exhibit an increase in the initial adsorption probability with increasing kinetic energy. Yet, recent experiments of nitrogen and oxygen adsorption provide support for an alternative high kinetic energy pathway in which incident energy assists in surmounting barriers to molecular chemisorption on a surface as the first step to dissociation. Moreover, systems for which the experimental evidence supports such a mechanism also demonstrate that molecularly chemisorbed intermediates can be spectroscopically observed at low temperatures and coverages from exposure to a gas in thermal equilibrium at room temperature. Likewise, such observations have not been measured for systems which are consistent with direct dissociation. A consideration of this trend regarding the existence of molecularly chemisorbed states and the implications for the dominant, dissociative chemisorption pathway at high kinetic energy is presented for a number of gas surface systems.     

Ultrasound-assisted hydrogenation of cinnamaldehyde

The hydrogenation, employing hydrogen gas, of cinnamaldehyde was performed using Pd-black and Raney Ni catalysts at 298+/-3 K in a water-cooled (jacketed) reaction vessel. Sampling at pre-determined time intervals and GC/MS analysis yielded time-dependent product state distribution information. A kinetic modeling of the data revealed that cinnamaldehyde was both hydrogenated directly to the final product benzenepropanol, as well as a fraction being converted to the intermediate benzenepropanal, where the latter was subsequently hydrogenated to benzenepropanol. Comparing the ultrasound-assisted and blank (stirred) experiments revealed that a higher maximum relative concentration of the intermediate benzenepropanal was formed in the ultrasound experiments compared to the stirred experiment. The activity of the ultrasound experiments compared to blank were 9-fold and 20-fold greater for the Pd-black and Raney Ni catalysts, respectively. Finally, an application of the Bell-Evans-Polanyi principle to yield an estimate of the ratio of rate coefficients for benzenepropanal and benzenepropanol formation was performed by considering chemical group energy differences and surface adsorption energy differences in the first mechanistic step of hydrogenation.     

ICP-OES研究活性炭无纺布对镉的吸附

重金属污染是一个相当严重的环境问题。镉具有很强的生物毒性和不可降解性,对生态环境和人体健康有极大威胁,被列为优先控制污染物。环境中镉的主要污染源是电镀、采矿和化学工业等部门的废水,如何简单高效去除水中的镉,有重要的社会意义和经济意义。目前,水中重金属的去除方法有化学沉淀、膜分离、离子交换、吸附、电解等,其中吸附法因简单高效而广泛应用。活性炭纤维是一种新型活性炭,孔径小且均匀,表面官能团发达,吸附性能好,逐步应用于水处理领域。以电感耦合等离子体光谱为检测手段,佐以比表面积分析,X射线衍射,元素分析和傅里叶变换红外光谱,研究比较了三种活性炭纤维(纤维炭网、活性炭无纺布、活性炭纤维毡)的结构特点及其对水中镉的吸附性能。三种活性炭纤维结构基本类似,具有较发达的孔隙结构。活性炭无纺布极性较强,表面有丰富的羟基、羧基、醛基等含氧官能团,对水中镉的吸附作用最大。因此,选择活性炭无纺布为吸附剂进行后续实验。研究了活性炭无纺布吸附镉的影响因素,如溶液pH,吸附时间等。溶液pH影响吸附剂表面电荷及水中镉的存在状态。水中镉的去除效率随溶液初始pH的增大而增大,在较低pH时,吸附剂与Cd2+间存在静电斥力,同时H+和Cd2+存在竞争吸附,pH>9时,镉的去除是吸附与沉淀协同作用的结果,选择pH为6～7。在吸附的初始阶段,活性炭无纺布对Cd2+的吸附量迅速增加,10 min时,吸附率达到72%。随着吸附位点逐渐被Cd2+所填充,吸附速率逐渐变慢,300 min时,吸附容量基本无变化,吸附趋于平衡。优化了镉的吸附条件后,进行等温吸附实验和动力学实验。结果表明,25 ℃时,吸附时间为300 min,pH 6.0条件下,当镉的平衡浓度在20.00 mg·L-1时,活性炭无纺布对镉的单位质量吸附量和单位比表面积吸附量分别是3.04 mg·g-1和0.035 mg·m-2。用Langmuir方程(R2=0.997, K_L =1.796 L·mg-1)和Freundich方程(R2=0.895, K_F=0.918 L·mg-1, n=2.12)拟合活性炭无纺布对镉的等温吸附数据,Langmuir方程计算的理论吸附量为3.07 mg·g-1,与实验值相当,并且线性系数更高,说明该体系的吸附符合Langmuir方程,主要为单分子层吸附。Langmuir分离因子介于0和1之间,表明活性炭无纺布对镉的吸附容易进行。用准一级动力学方程、准二级动力学方程、颗粒内扩散方程和Elovich方程四种动力学模型拟合吸附过程。在吸附的前5 min,镉在活性炭无纺布上的吸附符合颗粒内扩散方程(R2=0.985),吸附主要受颗粒内扩散控制。在吸附的5～300 min,颗粒内扩散方程拟合较差。整个吸附过程符合准二级动力学方程(R2=0.999,k₂=0.367 g·mg-1·min-1),Elovich方程(R2=0.981,a=0.271 mg·g-1, b=0.083 mg·g-1·(lg min)-1)和准一级动力学方程(R2=0.927,k₁=0.008 8 min-1)次之,颗粒内扩散方程(R2=0.785)最差。活性炭无纺布对镉的吸附过程是一种化学作用为主的吸附过程。对5.00 mg·L-1含镉水样,活性炭无纺布投放量为10 g·L-1时,吸附后水中镉的浓度小于0.10 mg·L-1,符合《污水综合排放标准》(GB 8978-1996)。活性炭无纺布可同时吸附镉,铜,铅,铬等重金属离子,选择性较差。但在电镀、采矿等实际废水中重金属种类复杂,适当提高吸附剂投放量,可同时去除多种重金属。利用活性炭无纺布吸附处理含镉水样,处理效果好、操作简单,可以作为去除水中镉的吸附剂,为含镉废水的处理提供了技术支持和理论基础。     

Calculation of the temperature-dependent energy characteristics of adsorption systems based on transition metals

Self-consistent calculations of the temperature-dependent absorption energy and electron work function on the surface of absorption systems based on transition metals have been performed via the electron-density functional method. The influence of substrate surface relaxation on the energy characteristics of adsorption systems is investigated. Gradient corrections to kinetic and exchange-correlation energies are estimated to describe a strong inhomogeneity arising in the electron system of the subsurface region. The influence of electron-ion interaction on energy characteristics is calculated with the use of the Ashcroft pseudopotential. The temperature-dependent formation of various adsorption structures from transition metal atoms is discussed.     

On the reality of spin and helicity

The possibilities of a realistic interpretation of quantum mechanics are investigated by means of a statistical analysis of experiments performed on the simplest type of quantum systems carrying spin or helicity. To this end, fundamental experiments, some new, for measuring polarization are reviewed and (re)analyzed. Theunsharp reality of spin is essential in the interpretation of some of these experiments and represents a natural motivation for recent generalizations of quantum mechanics to a theory incorporating effect-valued measures as unsharp observables and generalized systems of imprimitivity.     

Kinetic and theoretical studies of metal ion adsorption in KDP solution

Metal ion adsorption in saturated aqueous potassium dihydrogen phosphate solution was analyzed using kinetic, equilibrium model and computational chemistry approaches. The isotherm constants (K_F and n) in the Freundlich model and the first order Lagergren kinetic model parameter k assist with a general understanding of the fundamental adsorption behavior of trivalent and divalent metal ions. The electrostatic force based on electrostatic potential distribution was found to be an essential feature for metal ion adsorption via a correlation between the ESP values of each metal ion and these experimental parameters.