NICA-Donnan Model

The ND model, introduced by the Wageningen group (Benedetti et al. 1995 Benedetti, Van Riemsdijk, and Koopal 1996 Kinniburgh et al. 1996, 1999 Milne, Kinniburgh, and Tipping 2001 Milne et al. 2003), is composed of the NICA isotherm for intrinsic interaction (Eqnations 13.21 throngh 13.23) and a simple Dorman phase for ion accumulation, a generalized form of Equation 13.25 is 

Qnma Abundance of type 2 sites (assumed phenolic) 

M + affinity constant for sites of type 1 log Kfi 2 Idem for type 2 

Fitted from experiment Fitted from experiment Fitted from experiment 

Fitted from experiment Fitted from experiment 

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Recent studies have shown that the NICA-Donnan model fits very well to the acid-base titration data of HAs and FAs form organic amendments and of unamended and amended soils, pointing out substantial differences in site densities,... 

Koopal, L. K., Saito,T., Pinheiro, J. R, and Van Riemsdijk, W. H. (2005). Ion binding to natural organic matter General considerations and the NICA-Donnan model. Colloids Surf. A 265,40-54. 

Milne, C. J., Kinniburgh, D. G, and Tipping, E. (2001). Generic NICA-Donnan model parameters for proton binding by humic substances. Environ. Sci. Technol. 35, 2049-2059. 

Plaza, C., Senesi, N., Polo, A., and Brunetti, G. (2005b). Acid-base properties of humic and fulvic acids formed during composting by the NICA-Donnan model. Environ. Sci. Technol. 39, 7141-7146. 

An alternative type of component additivity approach is to use different adsorption models for different adsorbents (Weng et al., 2001, 2002). These authors described Cd2+, Zn2+, and NP+ binding in soils by combining the diffuse layer model for hydrous ferric oxide, the CD-MUSIC model for goethite, the Donnan model for illite, and the nonideal competitive adsorption (NICA) Donnan model (Kmniburgh et al., 1999) for humic acid. 

Christensen, J. B., E. Tipping, D. G. Kinnibuigh, C. Gr0n, and T. H. Christensen. 1998. Proton binding by gronndwater fulvic acids of different age, origins, and structure modeled with the model V and NICA-Donnan model. Environmental Science and Technology 32,... 

Fernandez, J. M., C. Plaza, N. Senesi, and A. Polo. 2007. Acid-hase properties of humic substances from composted and thermally-dried sewage sludges and amended soils as determined hy potentiometric titration and the NICA-Donnan model. Chemosphere 69, no. 4 630-635. doi 10.1016/j.chemosphere.2007.02.063. 

NICA-Donnan model. Environmental Science Technology 30, no. 5 1687-1698. doi 10.1021/es950695h. 

Vidali, R., E. Remoundaki, and M. Tsezos. 2011. An experimental and modelling study of Cu binding on humic acids at various solution conditions. Application of the NICA-Donnan model. Water, Air, Soil Pollution 218, no. 1 487-497. doi 10.1007/ si 1270-010-0662-z. 

Christl and Kretzschmar (2001) studied the interaction of copper with fulvic acid and hematite, and the results were compared with model calculations based on the linear additivity assumption. The sorption data for the ion-single sorbent systems were modeled with a basic Stem model (BSM) (Section 12.2.2) for hematite and the NICA-Donnan model for fulvic acid. In the second step, pH-dependent sorption of Cu and fulvic acid in systems containing Cu, hematite, and fulvic acid was investigated in batch sorption experiments. Comparison of the experimental data with model calculations shows that Cu sorption in binary hematite-fulvic acid systems is systematically underestimated by up to 30% by using the linear additivity assumption, as shown in Figure 14.4. 

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