2009
DOI: 10.1016/j.jcis.2009.04.049
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Application of a constrained regularization method to extraction of affinity distributions: Proton and metal binding to humic substances

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Cited by 7 publications
(11 citation statements)
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References 84 publications
(143 reference statements)
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“…Also, conditional affinity distributions can be obtained using constrained regularization methods. 24 If the proton affinity spectrum g(log K H ) is known, a conditional metal affinity distribution f(log K M ) can be estimated solving numerically the equation (assuming uncorrelated proton and metal affinity spectra): 24 …”
Section: ■ Introductionmentioning
confidence: 99%
“…Also, conditional affinity distributions can be obtained using constrained regularization methods. 24 If the proton affinity spectrum g(log K H ) is known, a conditional metal affinity distribution f(log K M ) can be estimated solving numerically the equation (assuming uncorrelated proton and metal affinity spectra): 24 …”
Section: ■ Introductionmentioning
confidence: 99%
“…These models generally include a description of the intrinsic binding constants in terms of a distribution, the affinity distribution or affinity spectrum, and an electrostatic contribution to account for the colloidal behavior of HS. The intrinsic affinity distribution has been assumed to be either discrete (effectively similar to a mixture of weak acids) ,, or continuous, with some assumed distribution function, ,,, but in both cases two main types of groups or sites have been included: carboxylic sites, with p K a in the range 3−5, and phenolic ones, with p K a about 8−10. The electrostatic contribution modeling has also followed two basic lines: one treated the humic substances as rigid particles, ,, applying standard colloid chemistry models, whereas other authors applied, albeit sometimes in a restricted and approximate way, the concept of Donnan equilibrium. ,, In Tipping's WHAM models V and VI , a Donnan phase is assumed, surrounding the humic particles and containing only positively charged counterions, whereas the electrostatic effect on binding is accounted by an empirical Boltzmann factor; here the humic particles are assumed to be of fixed size (one value for fulvic acids, FA, and another one for humic acids, HA).…”
Section: Introductionmentioning
confidence: 99%
“…With the aim of introduce physically more realistic modeling, in this work a new electrostatic model for humic substances, the elastic polyelectrolyte network (EPN) model is proposed. This electrostatic model will be combined with a continuous affinity spectrum, in principle obtained from conditional spectrum calculations, and afterward adjusted as part of the procedure. In the following sections, the electrostatic model is introduced and combined with an intrinsic affinity spectrum, the numerical procedures are presented and fitting to literature data is performed.…”
Section: Introductionmentioning
confidence: 99%
“…Esta metodologia permitiu verificar que as constantes de acidez são influenciadas pelos íons metálicos. 58 Em outro trabalho interessante sobre a aplicação da equação NICA, Orsetti et al 59 utilizaram um procedimento padronizado para extrair a distribuição de afinidade condicional a partir das curvas de titulação para o hidrogênio e para Cd(II), Pb(II) e Cu(II). Neste trabalho constataram que para o hidrogênio as distribuições são, na maioria dos casos, bimodais (carboxílicos e fenólicos), como assumido na literatura.…”
Section: O Significado Da Equação Nica E Sua Aplicação Na Complexaçãounclassified