Study of the CEE mechanism by voltammetry and chronoamperometry

1986 ◽  
Vol 64 (12) ◽  
pp. 2319-2323 ◽  
Author(s):  
Andrzej Lasia
Keyword(s):  
Finite Difference ◽  
Kinetic Parameters ◽  
Chemical Reaction ◽  
Electrode Surface ◽  
Linear Sweep Voltammetry ◽  
Electrochemical Reactions ◽  
Linear Sweep ◽  
Bivalent Metal ◽  
Finite Difference Technique ◽  
Implicit Finite Difference

The electroreduction of bivalent metal cations may proceed by a CEE mechanism with a heterogenous chemical reaction on the electrode surface. The applications of the convolutive linear sweep voltammetry and chronoamperometry to study that mechanism are presented. The behaviour of the electrochemical reactions was simulated using an implicit finite difference technique for different values of kinetic parameters. The simulated curves were analysed and an agreement between the introduced and obtained data was found.

Model Berangka Untuk Perlakuan Muka Air Tanah Dari Pengaruh Imbuhan Fana

1983 ◽  
pp. 41-55
Author(s):  
Wan Mokthar Nawang ◽  
Md. Zaid Ali
Keyword(s):  
Finite Difference ◽  
Groundwater Recharge ◽  
Numerical Solutions ◽  
Experimental Results ◽  
Piecewise Constant ◽  
Finite Difference Technique ◽  
Unconfined Aquifers ◽  
Implicit Finite Difference

Masalah imbuhfana ke atas muka air tanah dari akuifer bebas berhad adalah diselesaikan menggunakan kaedah berangka beza berhad implisit. Keputusan penyelesaian berangka disahkan baik berbanding dengan kaedah analitik dan ujikaji makmal. Seterusnya kelakuan muka air tanah diselidiki mengenakan imbuh-imbuh jenis sekata,imbuh sekata berubah dengan masa dan imbuh berkurang secara lelurus dengan masa. The problem of transient groundwater recharge from strip basins to finite unconfined aquifers is solved numerically by implicit finite difference technique. The numerical solutions are verified by comparison with analytical and experimental results. The behaviour of watertable is further examined by applying set of different recharge i.e. constant, piecewise constant, and decreasing linearly with time recharge.

Polarographic determination of azobenzene

1986 ◽  
Vol 51 (1) ◽  
pp. 25-33 ◽  
Author(s):  
Jiří Barek ◽  
Roman Hrnčíř
Keyword(s):  
Detection Limit ◽  
Electrode Surface ◽  
Linear Sweep Voltammetry ◽  
Polarographic Determination ◽  
Hanging Mercury Drop Electrode ◽  
Linear Sweep ◽  
Aqueous Methanol ◽  
Mercury Drop Electrode

Conditions were found for the determination of azobenzene by means of DC, AC, TAST, DP, and FSDP polarography and linear sweep voltammetry on a hanging mercury drop electrode in the medium of aqueous methanol, which ensures a sufficient solubility of azobenzene. In the latter two methods, the detection limit was around 10-8 mol/l; a still lower value could be attained by preliminary accumulation of azobenzene, i.e. adsorption on the electrode surface.

scholarly journals Current calculation of irreversible electrode reaction mechanismsin linear sweep voltammetry

2021 ◽  
Vol 9 (3) ◽  
Author(s):  
Ján Mocák ◽  
Estera Rábarová
Keyword(s):  
Chemical Reaction ◽  
Infinite Series ◽  
Digital Simulation ◽  
Linear Sweep Voltammetry ◽  
Electrode Reaction ◽  
Potential Range ◽  
Linear Sweep ◽  
Potential Region ◽  
Current Function ◽  
Simulation Techniques

Application of exponential infinite series gives highly accurate analytical solution contributing to the theory of linear sweep voltammetry for single scan experiments. We have calculated theoretical dimensionless current function (usually denoted as π1/2χ(bt)) at relevant potentials for irreversible charge transfer without a coupled chemical reaction. For this purpose several transformation techniques were used, which convert the derived infinite series into summable sequences. Since infinite series of further electrochemical mechanisms with irreversible electrode reaction have similar features (particularly those comprising preceding and catalytic chemical reaction), the same approach can be successfully applied also for further electrochemical mechanisms. The respective infinite series are divergent in the most important potential region at and after voltammetric peak therefore their transformation by Epsilon and Levin transform techniques was used. Necessary arbitrary precision arithmetic (APA) was implemented by UBASIC. The results were compared to the customary solution of Nicholson and Shain, who computed the current-potential curves by means of numerical solution of the integral equations but with a much lower precision. Our results were obtained in a broad potential range including the potential regions where the series are divergent. Obtained current functions are precise to 12 valid decimal numbers, which is utilizable for evaluation of the results achieved by various faster but less precise digital simulation techniques.

scholarly journals A Nonstandard Finite Difference Method for a Generalized Black–Scholes Equation

Symmetry ◽  
2022 ◽  
Vol 14 (1) ◽  
pp. 141
Author(s):  
Mohammad Mehdizadeh Khalsaraei ◽  
Mohammad Mehdi Rashidi ◽  
Ali Shokri ◽  
Higinio Ramos ◽  
Pari Khakzad
Keyword(s):  
Finite Difference ◽  
Order Of Convergence ◽  
Space Variable ◽  
Finite Difference Technique ◽  
Black Scholes Model ◽  
Implicit Finite Difference Scheme ◽  
Black Scholes ◽  
Implicit Finite Difference ◽  
Nonstandard Finite Difference ◽  
Good Agreement

An implicit finite difference scheme for the numerical solution of a generalized Black–Scholes equation is presented. The method is based on the nonstandard finite difference technique. The positivity property is discussed and it is shown that the proposed method is consistent, stable and also the order of the scheme respect to the space variable is two. As the Black–Scholes model relies on symmetry of distribution and ignores the skewness of the distribution of the asset, the proposed method will be more appropriate for solving such symmetric models. In order to illustrate the efficiency of the new method, we applied it on some test examples. The obtained results confirm the theoretical behavior regarding the order of convergence. Furthermore, the numerical results are in good agreement with the exact solution and are more accurate than other existing results in the literature.

Parallelization of the Factored Implicit Finite Difference Technique

AIAA Journal ◽  
1993 ◽  
Vol 31 (9) ◽  
pp. 1725-1727
Author(s):  
Abraham N. Varghese ◽  
Peter E. Raad
Keyword(s):  
Finite Difference ◽  
Finite Difference Technique ◽  
Implicit Finite Difference

Computer Simulation of the Response of Amperometric Biosensors in Stirred and non Stirred Solution

2003 ◽  
Vol 8 (1) ◽  
pp. 3-18 ◽  
Author(s):  
R. Baronas ◽  
F. Ivanauskas ◽  
J. Kulys
Keyword(s):  
Mathematical Model ◽  
Computer Simulation ◽  
Finite Difference ◽  
Mass Transport ◽  
Enzyme Reaction ◽  
Analyte Concentration ◽  
Amperometric Biosensors ◽  
Finite Difference Technique ◽  
Enzyme Layer ◽  
Biosensor Response

A mathematical model of amperometric biosensors has been developed to simulate the biosensor response in stirred as well as non stirred solution. The model involves three regions: the enzyme layer where enzyme reaction as well as mass transport by diffusion takes place, a diffusion limiting region where only the diffusion takes place, and a convective region, where the analyte concentration is maintained constant. Using computer simulation the influence of the thickness of the enzyme layer as well the diffusion one on the biosensor response was investigated. The computer simulation was carried out using the finite difference technique.

Modelling of Moisture Movement in Wood during Outdoor Storage

2001 ◽  
Vol 6 (2) ◽  
pp. 3-14 ◽  
Author(s):  
R. Baronas ◽  
F. Ivanauskas ◽  
I. Juodeikienė ◽  
A. Kajalavičius
Keyword(s):  
Experimental Data ◽  
Finite Difference ◽  
Climatic Conditions ◽  
Two Dimensional ◽  
Moisture Movement ◽  
Finite Difference Technique ◽  
Long Term Storage ◽  
Space Formulation ◽  
Term Storage

A model of moisture movement in wood is presented in this paper in a two-dimensional-in-space formulation. The finite-difference technique has been used in order to obtain the solution of the problem. The model was applied to predict the moisture content in sawn boards from pine during long term storage under outdoor climatic conditions. The satisfactory agreement between the numerical solution and experimental data was obtained.

Effect of cetyltrimethylammonium bromide on the electrochemiluminiscence and electrooxidation of luminol

1983 ◽  
Vol 48 (2) ◽  
pp. 477-483 ◽  
Author(s):  
Jan Lasovský ◽  
František Grambal
Keyword(s):  
Cetyltrimethylammonium Bromide ◽  
Linear Sweep Voltammetry ◽  
Critical Micellar Concentration ◽  
Peak Height ◽  
Anodic Peak ◽  
Alkaline Solutions ◽  
Platinum Electrodes ◽  
Micellar Solutions ◽  
Linear Sweep ◽  
Low Concentrations

The electrooxidation of luminol in alkaline solutions in the presence of cetyltrimethylammonium bromide (I) was studied by linear sweep voltammetry on fixed and vibrating platinum electrodes. The presence of I in low concentrations (below the critical micellar concentration) brings about aggregation of the luminol, which is manifested by an increase in the anodic peak height and its shift towards lower potentials. In micellar solutions the peak height decreases owing to the slower diffusion of the bulkier micelles, the shift to lower potentials being preserved. The light-voltage curves correspond with the voltammetric curves, exhibiting identical shifts of the peak potentials in dependence on the concentration of the surfactant.

Sign in / Sign up

Export Citation Format

Share Document