Differentiation, semidifferentiation and semi-integration of a digital signals based on Fourier transformations

Yu, Junsheng; Zhang, Zuxun

doi:10.1016/0022-0728(95)04328-4

Cited by 16 publications

(9 citation statements)

References 38 publications

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“…Application of Eqs. (12) and (13) has several advantages over application of Eqs. (9) and (10) because in the latter cases the widths of the descending and ascending sections of the peaks may vary freely.…”

Section: Calculationmentioning

confidence: 99%

“…As a result, the accuracy of determination of the electrochemical parameters (E p , e p , αn) of overlapped peaks is higher for Eqs. (12) and (13). (Fig.…”

Section: Calculationmentioning

confidence: 99%

“…(2) is completely symmetrical (Fig. 1) [4,12,42,52,62], the term preceding cosh −2 is equal to the peak height. A more complicated situation arises for an irreversible electron transfer, when the expression of the semiderivative peak is given by a series (Eq.…”

Section: Introductionmentioning

confidence: 99%

“…Mathematical methods based on semi-differentiation and semi-integration offer an interesting alternative to classical analysis of voltammetric curves [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20]. Various electrochemical processes, such as redox reactions with reduced and oxidised species present in the same phase [6,14,[21][22][23][24][25][26][27][28][29][30][31][32][33][34][35], adsorption on surfaces of electrodes [36][37][38], electrodeposition [39][40][41][42][43][44][45][46][47]…”

Section: Introductionmentioning

confidence: 99%

“…The most extensive mathematical treatment related to these methods was applied to the electrochemical reactions were both oxidised and reduced form are soluble in the electrolyte phase and their transport proceeds under conditions of semi-infinite linear diffusion [4]. The semi-differentiation, which is the subject of this manuscript, allows transformation of strongly asymmetric diffusive current peaks into much more symmetrical, bell-shaped semi-derivative signals with well-defined end [4,12,42,52]. Application of such procedure is very helpful for separation of overlapped voltammetric peaks, the benefits depend on the extent of their overlapping.…”

Section: Introductionmentioning

confidence: 99%

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Semi-differential analysis of irreversible voltammetric peaks

Grdeń

2016

J Solid State Electrochem

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Voltammetric peaks obtained by simulation of electrochemical reactions under conditions of linear semi-infinite diffusion with an irreversible electron transfer process are analysed using a semi-differentiation procedure. Obtained semi-derivative peaks, separated or overlapped, are fitted with appropriate mathematical functions. The functions used for data fitting include a function describing symmetrical peaks, proposed by several authors for fitting irreversible semiderivative peaks, and two alternative functions that express asymmetric shape of the irreversible semi-derivative signals. When applied to the overlapped irreversible semi-derivative peaks, the latter two functions allow calculating certain electrochemical parameters with a better accuracy as compared with the function derived for the symmetrical peaks.

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Section: Calculationmentioning

confidence: 99%

“…As a result, the accuracy of determination of the electrochemical parameters (E p , e p , αn) of overlapped peaks is higher for Eqs. (12) and (13). (Fig.…”

Section: Calculationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Semi-differential analysis of irreversible voltammetric peaks

Grdeń

2016

J Solid State Electrochem

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Linear Sweep and Cyclic Voltammetry

Speiser

2003

Encyclopedia of Electrochemistry

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The sections in this article are Introduction Historical Background Potential Scan Voltammetries—Definitions Scope of the Chapter Theory of Potential Scan Voltammetries General Reversible Electron Transfer Kinetics of Electron Transfer Coupled Homogeneous Chemical Kinetics Adsorption and Surface‐Bound Redox Species Nonlinear Diffusion Restricted Diffusion Simulation Practical Considerations Electrodes and Cells Solvents and Supporting Electrolytes Experimental Limitations Artifacts and how to Avoid Them Present Methodological Developments Voltammetry at Ultramicroelectrodes Fast Scan Techniques Voltammetry without Supporting Electrolyte Voltammetry Under Hydrodynamic Conditions Voltammetric Spectroelectrochemistry Derivative Voltammetry Semiintegral (“Convolution”) and Semiderivative Voltammetry Applications Typical Voltammograms—Classical Applications Selected Recent Examples Conclusion Acknowledgments

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Methods to Investigate Mechanisms of Electroorganic Reactions

Speiser

2004

Encyclopedia of Electrochemistry

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The sections in this article are Introduction Scope: Methods of Molecular Electrochemistry Historical Development Why and How to Investigate Mechanisms of Electroorganic Reactions Steps of Electrode Reaction Mechanisms General Transport Electron Transfer Chemical Kinetic Steps Adsorption Organic Electrode Reaction Mechanisms Electron Transfer Initiates Chemistry Nomenclature of Electrode Reaction Mechanisms Formal Description of Events at an Electrode Current‐Potential‐Time Relationships Concentration Profiles Methods of Mechanistic Electroorganic Chemistry Classification Controlled‐Potential Techniques Controlled‐Current Techniques Hydrodynamic Voltammetry Exhaustive Electrolysis Techniques How to Gain Access to Kinetics, Thermodynamics, and Mechanisms of Electroorganic Reactions Qualitative and Quantitative Investigation of Electrode Reaction Mechanisms General Recommendations for Mechanistic Analysis Some Mechanistic Examples Pure ET Reactions Follow‐up Reactions Preequilibria to ETs Catalytic Reactions How to Gain Additional Information about Electroorganic Reaction Mechanisms Simulation Ultramicroelectrodes Electrogravimetry Spectroelectrochemistry Conclusion Acknowledgment

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Differentiation, semidifferentiation and semi-integration of a digital signals based on Fourier transformations

Cited by 16 publications

References 38 publications

Semi-differential analysis of irreversible voltammetric peaks

Semi-differential analysis of irreversible voltammetric peaks

Linear Sweep and Cyclic Voltammetry

Methods to Investigate Mechanisms of Electroorganic Reactions

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