Further Increase In Concentration Research Articles

Response of Jatropha on a Clay Soil to Different Concentrations of Micronutrients

In recent years Jatropha curcas L. has emerged as a biofuel crop with potential for its production in marginal land with application of treated sewage water. Since this is a new crop for its profitable cultivation, additional research is needed to develop optimal management programs, including macro and micronutrients applications. A pot experiment was conducted in a Greenhouse at the National Research Center, Dokki, Cairo, Egypt, during 2010 summer to evaluate effects of varying concentrations of iron (Fe), manganese (Mn), and zinc (Zn) in irrigation water (0, 50, 100, 150, 200 and 250 ppm) on the growth, biomass production, photosynthetic pigments, and mineral nutrients status in the plants. Increasing concentrations of Fe, Mn, and Zn in irrigation water up to 150 ppm increased the biomass weight, photosynthetic pigments, and nutrient uptake by Jatropha plants. Further increase in concentrations of micronutrients showed negative effects on the above response parameters. Therefore, this study demonstrates that Jatropha can be grown under irrigation using waste water containing reasonable concentrations of micronutrients and heavy metals. This property of Jatropha provides some support for potential use of this crop for phytoremediation of metal contaminated soils. However, long term field research is needed to further verify both the above beneficial effects.

In vitro propagation of Cichorium intybus L. and quantification of enhanced secondary metabolite (esculin).

In this report, rapid and effective shoot as well as root regeneration system through direct multiplication was successfully developed for Cichorium intybus L. Furthermore, the effect of exogenous growth regulators (TDZ and IAA) at different concentrations on the regulation process of the plant was also studied. Enhanced production of esculin in developed C. intybus L. was evaluated using leaf extract. Only on the expense of 20 days, regeneration was seen and very low dose of TDZ was seen to be more effective. When 0.02 mg/L of TDZ was combined with 1.5mg/L of IAA, nearly 100% of explants produced shoots with the highest number of regenerated shoots (85.37). With further increase in concentration (≥ 0.05 mg/L), the number of shoots per explants get decreased. A lower NAA to IBA ratio (1.0mg/L of IBA and 0.5mg/L of NAA) seemed to be more effective for root generation and considered to be the most effective combination among the tried groups. IBA was more effective in root development than NAA, but both were comparatively effective. On quantitative analysis by RP-HPLC, the 76.23% of Esculin were found in leaf extract of the in vitro developed C. intybus L. This amount was 26.77% higher than normal grown plants.

Phase Behavior of Lipid–Based Lyotropic Liquid Crystals in Presence of Colloidal Nanoparticles

We have investigated the microstructure and phase behavior of monoglyceride-based lyotropic liquid crystals in the presence of hydrophilic silica colloidal particles of size comparable to or slightly exceeding the repeat units of the different liquid crystalline phases. Using small angle X-ray scattering (SAXS) and differential scanning calorimetry (DSC), we compare the structural properties of the neat mesophases with those of the systems containing silica colloidal particles. It is found that the colloidal particles always macrophase separate in inverse bicontinuous cubic phases of gyroid (Ia3d) and double diamond (Pn3m) symmetries. SAXS data for the inverse columnar hexagonal phase (H(II)) and lamellar phase (L(α)) suggest that a low volume fraction of the nanoparticles can be accommodated within the mesophases, but that at concentrations above a given threshold, the particles do macrophase separate also in these systems. The behavior is interpreted in terms of the enthalpic and entropic interactions of the nanoparticles with the lamellar and hexagonal phases, and we propose that, in the low concentration limit, the nanoparticles are acting as point defects within the mesophases and, upon further increase in concentration, initiate nucleation of nanoparticles clusters, leading to a macroscopic phase separation.

Structural investigation of conducting polythiophene composites

Abstract Polythiophene (PTh) – polyvinyl acetate (PVAc) composite films were prepared by chemical oxidative polymerization with ZnCl2 as oxidant, in methanol solvent at room temperature. In this study DC conductivity as a function of temperature was measured. An attempt has been made to investigate the effect of temperature and concentration of ZnCl2 oxidant on the conductivity of polythiophene and polyvinyl acetate composite films. For fixed wt% of PVAc, the DC electrical conductivity initially increases with the molar concentration of ZnCl2 which increases the rate of polymerization and then decreases with further increase in concentration of ZnCl2 due to reduced segmental motion of the polymer. The Fourier transforms infrared (FTIR) spectra reveal that the structure remains the same throughout the series. The small shift in the observed peak frequencies is due to composition change of ZnCl2, but the overall trend of the IR spectra is the same. From the finger print region it is observed that the terminal branching is completely absent. The ionic transference number is calculated from the polarization current versus time plot. Ionic contribution is found to be dominant. The thermo gravimetry (TG) curves of the samples show single step degradation.

Nitrogen potential recovery and concentration of ammonia from swine manure using electrodialysis coupled with air stripping

The practice of intensive animal production in certain areas has resulted in excessive manure production for the available regional land base. Consequently, there is a need to develop treatment technologies to recover the valuable nutrients that manure contains so that the resulting product can be transported and used as fertilizer on agricultural land. The project presented here used electrodialysis in a dilution/concentration configuration to transfer the manure ammonia in the diluate solution by electromigration to an adjacent solution separated by an ion-exchange membrane under the driving force of an electrical potential. Then, air stripping from the electrodialysis-obtained concentrate solution without pH modification was used to isolate the ammonia in an acidic solution. An optimal process operating voltage of 17.5 V was first determined on the basis of current efficiency and total energy consumption. During the process, the swine manure pH varied from 8.5 to 8.2, values favourable for NH(4)(+) electromigration. Total ammonia nitrogen reached 21,352 mg/L in the concentrate solution, representing approximately seven times the concentration in the swine manure. Further increases in concentration were limited by water transfer from the diluate solution due to electroosmosis and osmosis. Applying vacuum to the concentrate reservoir was found to be more efficient than direct concentrate solution aeration for NH(3) recuperation in the acid trap, given that the ammonia recuperated under vacuum represented 14.5% of the theoretical value of the NH(3) present in the concentrate solution as compared to 6.2% for aeration. However, an excessively low concentrate solution pH (8.6-8.3) limited NH(3)volatilization toward the acid trap. These results suggest that the concentrate solution pH needs to be raised to promote the volatile NH(3) form of total ammonia nitrogen.

Emulsion stabilization using ionic liquid [BMIM] +[NTf 2] − and performance evaluation on the extraction of chromium

This study focuses on the role of a hydrophobic ionic liquid 1-butyl-3-methylimidazolium bis(trifluoromethylsulfonyl)imide, [BMIM] +[NTf 2] − in the preparation of emulsion liquid membrane (ELM) phase containing kerosene as solvent, Span 80 as surfactant, NaOH as internal phase and TOMAC (tri-n-octylmethylammonium chloride) a second ionic liquid as carrier. The first time used [BMIM] +[NTf 2] − in ELM was found to play the role of a stabilizer. The emulsion prepared using [BMIM] + [NTf 2] − has a long period of stability of about 7 h (at 3% (w/w) of [BMIM] +[NTf 2] −) which otherwise has a brief stability up to only 7 min. The stability of the emulsion increases with the increase in concentration of [BMIM] +[NTf 2] − up to 3% (w/w). Nevertheless, with further increase in concentration of [BMIM] +[NTf 2] −, a reduction in the stability occurs. The extraction experiments were carried out after holding the ELM for 2 h after the preparation and a removal efficiency of approximately 80% was obtained for Cr. The destabilization of the emulsion was studied by observing the change in the interface height. An empirical correlation for the stability of the emulsion has been proposed.

Effect of Nitrogen on Mechanical Properties of 20MnSi at High Temperature

The effect of nitrogen on the mechanical properties of 20MnSi steel at high temperature was investigated. Mechanical tensile test was conducted using a Gleeble-1500D. Microstructure and fractograms were analyzed using SEM and TEM. The results indicate that nitrogen in concentration of 0.4 ~ 0.6% improves the grain boundaries and grain refinement, and thus the strength and section shrinkage and plasticity of the steel. Further increase in concentration of nitrogen has little effect on section shrinkage.

Electrospinning of Biosyn®-based tubular conduits: Structural, morphological, and mechanical characterizations

Electrospinning has garnered special attention recently due to its flexibility in producing extracellular matrix-like non-woven fibers on the nano-/microscale and its ability to easily fabricate seamless three-dimensional tubular conduits. Biosyn®, a bioabsorbable co-polymer of glycolide, dioxanone, and trimethylene carbonate, was successfully electrospun into tubular conduits for the first time for soft tissue applications. At an electric field strength of 1 kV cm −1 over a distance of 22 cm (between the Taylor cone and the collector) and at a flow rate of 1.5 ml h −1 different concentrations of Biosyn/HFP solutions (5–20%) were spun into nanofibers and collected on a rotating mandrel (diameter 4 mm) at 300 and 3125 r.p.m. Scaffolds were characterized for structural and morphological properties by differential scanning calorimetry and scanning electron microscopy and for mechanical properties by uniaxial tensile testing (in both the circumferential and longitudinal directions). Biosyn® tubular scaffolds (internal diameter 4 mm) have been shown to exhibit a highly porous structure (60–70%) with a randomly oriented nanofibrous morphology. The polymer solution concentration directly affects spinnability and fiber diameter. At very low concentrations (⩽5%) droplets were formed due to electrospraying. However, as the concentration increased the solution viscosity increased and a “bead-on-string” morphology was observed at 10%. A further increase in concentration to 13% resulted in “bead-free” nanofibers with diameters in the range 500–700 nm. Higher concentrations (⩾20%) resulted in the formation of microfibers (1–1.4 μm diameter) due to increased solution viscosity. It has also been noted that increasing the mandrel speed from 300 to 3125 r.p.m. produced a reduction in the fiber size. Uniaxial tensile testing of the scaffolds revealed the mechanical properties to be attractive for soft tissue applications. As the fiber diameters of the scaffold decrease the tensile strength and modulus increase. There is no drastic change in tensile properties of the scaffolds tested under hydrated and dry conditions. However, a detailed study on the biodegradation and biomechanics of electrospun Biosyn conduits under physiological pressure conditions is required to ensure potential application as a vascular graft.

Characterisation Studies and Impact of Chemical Treatment on Mechanical Properties of Sisal Fiber

The availability of natural fibers with their high performance and low cost contributes to a healthy ecosystem and fulfills the economic interests of the society. Sisal fiber, which is easily cultivated, is one of the most widely used natural fibers. For the present studies, characterisation of locally available sisal fiber of M.P. state in India was carried out with the investigation on the effect of alkali treatment with a wide range of different concentrations on the mechanical properties of sisal fiber. The physical and chemical properties of sisal fiber were analyzed with known methods and results were found to be similar to earlier reported values. Alkali treatment was carried out with different concentrations and mechanical properties were evaluated with Lloyd Fiber Testing Instrument. The results show that the chemical treatment enhances the mechanical properties of fiber up to a limit and is found to decrease with further increase in concentration. Scanning Electron Microscopy was used to investigate the morphology of untreated and alkali treated sisal fibers which indicated that the different concentrations of alkali alter the fiber surfaces with variations. Sisal fibers before and after alkali treatment were characterised further by thermogravimetry to establish their thermal stability, and measurements showed that alkali treated fiber became more thermal resistant than the untreated fiber and it was also noticed that thermal resistance decreases at higher concentration.

Comparing colloidal phase separation induced by linear polymer and by microgel particles

Depletion interactions give rise to phase separation in colloid-polymer mixtures at sufficiently high concentrations of both species. Similarly a fluid-solid phase separation is expected for binary hard sphere (BHS) mixtures, however in practice it appears such mixtures are very prone to form metastable (jammed) states. Here pNIPAM microgel particles are used to induce depletion attractions between polystyrene latex spheres. Such microgels can be modelled as hard spheres with a polymer brush-like outer layer. Mixtures with a microgel/polystyrene size ratio of 0.11 showed a fluid-solid phase separation, in good agreement with predictions for BHS. Gel states were obtained on further increase of concentration, around the position of the predicted metastable BHS fluid-fluid binodal, echoing previous claims of the significance of a hidden fluid-fluid phase boundary as the precursor to gelation. It thus appears that the slight deformability of the microgel particles reduces the tendency for mixtures to remain in jammed states relative to binary hard sphere systems. Nevertheless the mixtures did tend to form gels more easily than mixtures of the same polystyrene spheres with linear polymer coils at a similar polymer/colloid size ratio.

Changes in the apparent viscosity profiles of casein suspensions as affected by plant enzymes

The aim of this work was to study the degree of hydrolysis and changes in the apparent viscosity of casein suspensions as a result of various enzymes addition. Suspensions with 3, 12 and 15 g/100 mL of casein, at pH 5.2, 6.0 and 6.5 were prepared in buffer solutions. Previous standardization; plant (papain and bromelain) and animal (chymosin) enzymes were added to hydrolize the casein suspensions. A control with no enzyme addition was used. The rheological behaviour was determined using a rotational rheometer (Haake RV20), with a cone and plate geometry. The Casson and the power law equations were applied to the data. The degree of hydrolysis was a function of the enzyme, pH and casein concentration, presenting chymosin the highest values. All enzymes showed the highest activity at acidic pH. Also, some substrate inhibition was observed. All samples behaved as non-Newtonian, shear-thinning systems with a yield stress value. In all cases, a significant increase in the viscosity was observed when shifting from 3 to 12 g/100 mL. Further increase in concentration caused an opposite effect. Changes in pH of the casein suspensions affected the viscosity, presenting maximum values at pH 6.0. The Casson equation fitted the results better than the power law model.

Interfacial shear rheology of asphaltenes at oil–water interface and its relation to emulsion stability: Influence of concentration, solvent aromaticity and nonionic surfactant

The interfacial shear rheology of asphaltene film at toluene–heptane/brine interface has been studied. The oscillation mode of a rheometer utilizing a biconical geometry has been employed to determine film structure and mechanical strength of the interfacial layer, as a function of interface age, solvent aromaticity and asphaltene concentration. With 60% toluene–40% heptane as oil solvent, a concentration threshold around 2–5 g/L asphaltenes was found for the formation of gel-like structure at oil/brine interface, after aging for 6–7 h. This concentration is close to the concentration threshold for the formation of stable W/O emulsion. Further increase in concentration from 5 to 10 g/L gives similar interfacial modulus values, indicating that a saturation state of the interfacial layer is reached. At a given asphaltenes concentration 5 g/L, the storage modulus decreases when increasing the proportion of toluene and vanish with 100% toluene, however, much higher modulus was obtained for the same asphaltene concentration in 30% toluene which has flocculation inside. In addition, when nonionic surfactant coexist with asphaltenes in the bulk phase, only viscous interface was detected, which may attribute to the effect of surfactant for displacing asphaltenes at the interface and inhibiting asphaltene cluster formation in the bulk phase.

Programmed cell death in plants: protective effect of phenolic compounds against chitosan and H2O2.

Addition of chitosan or H2O2 caused destruction of nuclei of epidermal cells (EC) in the epidermis isolated from pea leaves. Phenol, a substrate of the apoplastic peroxidase-oxidase, in concentrations of 10(-10)-10(-6) M prevented the destructive effect of chitosan. Phenolic compounds 2,4-dichlorophenol, catechol, and salicylic acid, phenolic uncouplers of oxidative phosphorylation pentachlorophenol and 2,4-dinitrophenol, and a non-phenolic uncoupler carbonyl cyanide m-chlorophenylhydrazone, but not tyrosine or guaiacol, displayed similar protective effects. A further increase in concentrations of the phenolic compounds abolished their protective effects against chitosan. Malate, a substrate of the apoplastic malate dehydrogenase, replenished the pool of apoplastic NADH that is a substrate of peroxidase-oxidase, prevented the chitosan-induced destruction of the EC nuclei, and removed the deleterious effect of the increased concentration of phenol (0.1 mM). Methylene Blue, benzoquinone, and N,N,N',N'-tetramethyl-p-phenylenediamine (TMPD) capable of supporting the optimal catalytic action of peroxidase-oxidase cancelled the destructive effect of chitosan on the EC nuclei. The NADH-oxidizing combination of TMPD with ferricyanide promoted the chitosan-induced destruction of the nuclei. The data suggest that the apoplastic peroxidase-oxidase is involved in the antioxidant protection of EC against chitosan and H2O2.

Separation of Phenol from Aqueous Streams by a Composite Hollow Fiber Based Pervaporation Process Using Polydimethyl siloxane (PDMS)/Polyether-Block-Amide (PEBA) as Two-Layer Membranes

In order to simultaneously achieve both high permselectivity and permeability (flux) for the recovery of aromatic compounds such as phenol from aqueous streams, a composite organophilic hollow fiber based pervaporation process using PDMS/PEBA as two-layer membranes has been developed. The process employed a hydrophobic microporous polypropylene hollow fiber, having thin layers of silicones (PDMS) and PEBA polymers coating on the inside diameter. The composite membrane module is used to investigate the pervaporation behavior of phenol in water in a separate study; and that of a mixture of phenol, methanol, and formaldehyde in an aqueous stream (a typical constituent of wastewater stream of phenol-formaldehyde resin manufacturing process) in another study. The fluxes of phenol and water increase relatively linearly with increasing concentration especially at low feed concentration, and exhibit a near plateau with further increase in concentration. As a result, the phenol/water separation factor decreases as the feed concentration increases. Significant improvement in phenol/water separation factor and phenol flux is achieved for this two-layer (PDMS/PEBA) membranes as compared to that achieved using only PDMS membrane. The phenol and water fluxes and the separation factor are highly sensitive to permeate pressure as all decrease sharply with increase in permeate pressure. For this membrane, an increase in temperature increases the separation factor, and also permeation fluxes of phenol and water. An increase in feed-solution velocity does not have a significant effect on phenol and water fluxes, and also on the separation factor at least within the range of the feed-solution velocity considered. In the study of pervaporation behavior of a typical constituent of wastewater stream of phenol-formaldehyde resin manufacturing process, phenol permeation shows a much higher flux and a higher increase in flux with increase in concentration is also exhibited as compared to that exhibited by methanol permeation. This thus indicates that the membrane is more permeable to phenol than to methanol and formaldehyde.

Er3+ as glass structure modifier of Ga–Ge–S chalcogenide system

Er3+ clustering phenomenon in Ga–Ge–S chalcogenide system is studied using Raman spectroscopy. The Raman spectra from 10 to 500 cm−1 for glasses (100−y)[15Ga2S3–85GeS2]–yEr2S3 (y=0.08−5.00 mol. %) have been analyzed. To reveal the influence of the chemical composition on the glass structure the intensity of the peak corresponding to Ge–Ge (Ga–Ga) homopolar bonds has been examined. The peak intensity increase with Er2S3 concentration change in the region 0<C(Er2S3)<2 mol. % has been interpreted in terms of the sulphur deficiency in the glass resulting in the formation of S3Ge–GeS3 (S3Ga-GaS3) structural units. The further increase in concentration beyond 2 mol. % reduces the sulphur deficiency, which can be attributed to the formation of the ternary compound Er3GaS6. The structural units Er3GaS6 contain a large mol. fraction of Er3+ or, in other words, Er3+ clusters. The data obtained from the low-frequency Raman spectra (boson band) indicate strong variations of the medium-range order (MRO) in the glasses induced by Er3+. The observed behavior of the MRO size (the correlation length) with increasing of Er2S3 concentration provides for additional evidence of the Er3+ clustering.

Effect of 17-β Estradiol on the Expression of Inducible Nitric Oxide Synthase in Parent and Tamoxifen Resistant T47D Breast Cancer Cells

Indirect evidence suggests that estrogen is involved in the etiology of breast cancer. Estrogen is also thought to modulate nitric oxide (NO) in human breast tumor tissue via regulation of inducible nitric oxide synthase (iNOS). Objectives of this study were to determine whether estradiol (E2) affects iNOS expression level in breast cancer cells and to study the effect of various concentrations of E2 on cell proliferation. Immunocytochemical technique was employed to assess iNOS expression level. Proliferation of parent and 10 -6 M tamoxifen resistant cells (T47D/TAMR-6) were assessed by MTT assay in the presence of E2. Addition of E2 (10 -12 to 10 -8 M) increases the expression of iNOS in parent cells, but not T47D/TAMR-6, Further increase in concentrations of E2 (10 -8 to 10 -4 M) again decreases the expression of iNOS in parent cells, but increase that of the T47D/TAMR-6 cells. Expression of iNOS in parent cells in a medium containing 1% serum (low serum) is less than the cells grown in a medium containing 10% FBS (normal serum). This trend was not seen in T47D/TAMR-6 cells. The results of these experiments may indicate that increasing of iNOS expression decreases the viability of parent cells whilst increasing the number of T47D/ TAMR-6.

Rhodium(III) catalyzed oxidation of cyclic ketones by alkaline hexacyanoferrate(III)

The kinetics of the oxidation of 2-methyl cyclohexanone and cycloheptanone with Fe(CN)63− catalyzed by RhCl3 in alkaline medium was investigated at four temperatures. The rate follows direct proportionality with respect to lower concentrations of hexacyanoferrate(III) ion, but tends to become zero order at higher concentrations of the oxidant, while the reaction shows first-order kinetics with respect to hydroxide ion and cyclic ketone concentrations. The rate shows a peculiar nature with respect to RhCl3 concentrations in that it increases with increase in catalyst at low catalyst concentrations but after reaching a maximum, further increase in concentration retards the rate. An increase in the ionic strength of the medium increases the rate, while increase in the Fe(CN)64− concentration decreases the rate.

Nickel(II) Extraction from Sulphate Media with Bis (2,4,4‐Trimethylpentyl)Dithiophosphinic Acid Dissolved in Nonane

The paper presents data on nickel(II) extraction from sulphate solutions with nonane‐diluted bis(2,4,4‐trimethylpentyl)dithiophosphinic acid (HR). An IR spectroscopy method is used to examine the state of HR in nonane, and it was shown to exist as a monomer up to a concentration of 0.1 M. With a further increase in concentration, the acid forms associated species. The value of the concentration of the monomeric form is determined as a function of the total HR concentration in nonane in the range of 0.0–1.0 M. Based on the comparative analysis of the extraction equilibrium data together with information from the visible and IR absorption spectra of the nickel extract, the configuration of the nickel(II) complex in the organic phase was determined to be a low‐spin, square‐planar complex. The complex composition was found to correspond to the formula NiR2. The complex is hydrated, with the water very likely being bonded in the outer coordination sphere.

Optimization of Solid−Liquid Extraction of Resveratrol and Other Phenolic Compounds from Milled Grape Canes (Vitis vinifera)

Optimization of the solid-liquid extraction conditions for trans-resveratrol, trans--viniferin, ferulic acid, and total phenolics from milled grape canes has been investigated. The temperature and ethanol concentration were found to be major process variables for all responses, whereas the solvent to solid ratio was found not to be significant for any of the responses studied. The yields of trans-resveratrol, trans--viniferin, and total phenolics increased with increasing temperature. Maximum yields of trans-resveratrol (4.25 mg/g dw), trans--viniferin (2.03 mg/g), and total phenolics (9.28 mg/g dw) were predicted from the combination of a moderate ethanol concentration (50-70%) and the highest temperature (83.6 degrees C), whereas an ethanol concentration of 35% at the lowest temperature studied (16.4 degrees C) was optimal for the extraction of ferulic acid (1.05 mg/g dw). Effective diffusivity values of resveratrol in the solid phase, D eff for different extraction conditions, were calculated by fitting the experimental results to a model derived from the Fick's second law. Effective diffusivity of resveratrol in the solid phase varied from 3.1 x 10 (-13) to 26.6 x 10 (-13) m (2) s (-1) with changing extraction conditions. The increase in effective diffusivity of resveratrol was observed with increasing temperature, and the highest predicted level was obtained when using 54% ethanol/water mixture at 83.6 degrees C. The increase in ethanol concentration exhibited the favorable effect up to 50-55%, thereafter effective diffusivity decreased with a further increase in concentration.

Effect of antimony substitution on structural and electrical properties of LaFeO 3

Fine crystalline LaFeO 3 and antimony-substituted compounds have been prepared by co-precipitation method. The as synthesized materials have been sintered at 1000 °C for single-phase compound formation and evaluated for their electrical and structural properties. TG/DTA studies ascribed that the precursor powders have undergone rapid changes during the transformation of LaFeO 3 and substituted compounds. XRD data reveal the presence of well-defined sharp peaks, indicating the single-phase perovskite structure of LaFeO 3 and polycrystalline structure of LaFeO 3 and Sb 2O 3 compounds. The FT–IR spectra exhibit an absorption band corresponding to Fe–O stretching vibration, which is shifted on the substitution of Sb 3+ ions. The temperature dependent d.c. conductivity shows the semiconducting behavior of the synthesized materials. The band gap values are found to increase upto x = 0.4 and decrease on further increase in concentrations of the Sb 3+ ions. The decrease in dielectric constant with increasing frequency explained the Maxwell–Wagner Interfacial polarization model.