Numerical analysis of the Gran methods A comparative study

Michałowski, Tadeusz; Kupiec, Krzysztof; Rymanowski, Maciej

doi:10.1016/j.aca.2007.11.020

Cited by 41 publications

(38 citation statements)

References 15 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…(96) is the basis for the modified G(II) method in its accurate version, denoted as MG(II)A method [77]. This method is especially advantageous in context of the error of analysis resulting from greater discrepancies |ϑ c -ϑ p | between true (correct, ϑ c ) and preassumed (ϑ p ) slope values for RIE has been proved; the error in V eq is significantly decreased even at greater |ϑ c -ϑ p | values [77].…”

Section: Mg(ii)a Methodsmentioning

confidence: 99%

“…1 mol/L; in Ref. [77], it was stated that β ¼ 1.7 � 10 �3 at C 01 ¼ 1.0 mol/L; this change is small and can be neglected over the V-range covered in the titration. The assumption ln(b 3 /b 2 ) ¼ const is applied below in the simplified Gran models.…”

Section: New Algorithms Referred To Fementioning

confidence: 99%

“…Such a requirement is fulfilled by some methods applied in potentiometric analysis; the best known ones are the Gran methods considered e.g., in Refs. [3,6,65,77]. The Gran methods of V eq determination can replace the currently used first-derivative method in the potentiometric titration procedure.…”

Section: Intermediary Commentsmentioning

confidence: 99%

See 2 more Smart Citations

Principles of Titrimetric Analyses According to Generalized Approach to Electrolytic Systems (GATES)

Michałowska-Kaczmarczyk¹,

Spórna‐Kucab²,

Michałowski³

2017

Advances in Titration Techniques

Self Cite

View full text Add to dashboard Cite

The generalized equivalent mass (GEM) concept, based on firm algebraic foundations of the generalized approach to electrolytic systems (GATES), is considered and put against the equivalent "weight" concept, based on a "fragile" stoichiometric reaction notation still advocated by IUPAC. The GEM is formulated a priori, with no relevance to a stoichiometry. GEM is formulated in a unified manner, and referred to systems of any degree of complexity with special emphasis put on redox systems, where generalized electron balance (GEB) is involved. GEM is formulated on the basis of all attainable (and preselected) physicochemical knowledge on the system in question, and resolved with use of iterative computer programs. It is possible to calculate coordinates of the end points taken from the vicinity of equivalence point. This way, one can choose (among others) a proper indicator and the most appropriate (from analytical viewpoint) color change of the indicator. Some interpolative and extrapolative methods of equivalence volume V eq determination are recalled and discussed. The GATES realized for GEM purposes provides the basis for optimization of analytical procedures a priori. The GATES procedure realized for GEM purposes enables to foresee and optimize new analytical methods, or modify, improve, and optimize old analytical methods.

show abstract

Section: Mg(ii)a Methodsmentioning

confidence: 99%

Section: New Algorithms Referred To Fementioning

confidence: 99%

See 1 more Smart Citation

Principles of Titrimetric Analyses According to Generalized Approach to Electrolytic Systems (GATES)

Michałowska-Kaczmarczyk¹,

Spórna‐Kucab²,

Michałowski³

2017

Advances in Titration Techniques

Self Cite

View full text Add to dashboard Cite

show abstract

“…Although it is common to find examples of applications to redox titrations [37,38] their actual use in redox titrations has been scarce [39][40][41][42]. The Gran methods were modified later [43][44][45], without unnecessary simplifications.…”

Section: Titration In Redox Systems: Earlier Approachesmentioning

confidence: 99%

On the Titration Curves and Titration Errors in Donor Acceptor Titrations of Displacement and Electronic Transference Reactions

Martín¹,

Estévez²,

Asuero³

2017

Redox - Principles and Advanced Applications

View full text Add to dashboard Cite

An overview of the state of the art concerning with earlier approaches to titration in redox systems is given in this chapter, in which an overview on redox bibliography has also been undertaken. Titration error has been the subject of a variety of excellent papers, but the number of papers dealing with titration error in redox titrations is scarce. However, a single hyperbolic sine expression for the titration error in donor/acceptor titration of displacement and electronic transference reactions is derived in this chapter. The titration error expression is applicable to symmetrical redox reactions, that is to say, those in which no polynuclear species are involved in the equilibria. The donor versus acceptor particle notation is chosen to accentuate the analogy with that used in the description of acids and bases following the steps given by the French School and other recognized authors (Budevsky, Butler, Charlot, Gauguin, Inczedy, Monnier, Rosset). A diagram for the titration error in function of the difference between the end and equivalence point (pX) is drawn in order to facilitate the graphical calculation of titration error. A detailed error analysis concerning with the propagation of systematic and random error propagation in the titration error is given.

show abstract

“…It refers both to batch and dynamic systems, whose speciation can be followed this way. Application of the simulating procedure (optimization a priori) enabled to apply some essential modifications and significant improvements of in the models applied for physicochemical and analytical needs Michałowski et al, 2008;Michałowski et al, 2011;Ponikvar et al, 2008). According to author's experience, the main difficulties in the right description of redox systems arise on the line of junction between thermodynamics and kinetics; this line is not precisely defined in many metastable systems.…”

Section: Application Of Gates and Matlab For Resolution Of Equilibriumentioning

confidence: 99%

Application of GATES and MATLAB for Resolution of Equilibrium, Metastable and Non-Equilibrium Electrolytic Systems

Michałowski¹

2011

Applications of MATLAB in Science and Engineering

View full text Add to dashboard Cite

Numerical analysis of the Gran methods A comparative study

Cited by 41 publications

References 15 publications

Principles of Titrimetric Analyses According to Generalized Approach to Electrolytic Systems (GATES)

Principles of Titrimetric Analyses According to Generalized Approach to Electrolytic Systems (GATES)

On the Titration Curves and Titration Errors in Donor Acceptor Titrations of Displacement and Electronic Transference Reactions

Application of GATES and MATLAB for Resolution of Equilibrium, Metastable and Non-Equilibrium Electrolytic Systems

Contact Info

Product

Resources

About