Reconsideration of theoretical basis of Freundlich adsorption isotherm equation

References

• Barrow , N.J. 1987 . Reactions with Variable-Charge Soils , 16 – 29 . Dordrecht : Martinus Nijhoff Publishers .
   Google Scholar
• Bowden , J.W. , Nagarajah , S. , Barrow , N.J. , Posner , A.N. and Quirk , J.P. 1980 . Describing the adsorption of phosphate, citrate and selenite on a variable-charge mineral surface . Aust. J. Soil Res. , 18 : 49 – 60 .
   Web of Science ®Google Scholar
• Kittel , C. and Kroemer , H. 1980 . Thermal Physics , 2nd ed. , San Francisco : W.H. Freeman and Company .
   Google Scholar
• Lax , P. , Burstein , S. and Lax , A. 1976 . Calculus with Applications and Computing , Vol. 1 , 87 – 160 . New York : Springer-Verlag .
   Google Scholar
• Mekaru , T. and Uehara , G. 1972 . Anion adsorption in ferruginous tropical soils . Soil Sci. Soc. Am. Proc. , 36 : 296 – 300 .
   Web of Science ®Google Scholar
• Nakahara , O. 1994 . Two simple isotherms describing cation adsorption on Andisols . Soil Sci. Plant Nutr. , 40 : 83 – 94 .
   Web of Science ®Google Scholar
• Nakahara , O. 1996 . Reconsideration of theoretical basis of Freundlich adsorption isotherm equation. I. The problem . Soil Sci. Plant Nutr. , 42 : 41 – 49 .
   Web of Science ®Google Scholar
• Nakahara , O. and Wada , S.-I. 1994 . Cl- adsorption on Andisols from CaCl2 and MgCl2 solutions . Soil Sci. Plant Nutr. , 39 : 645 – 652 .
   Google Scholar
• Nakahara , O. and Wada , S.-I. 1995a . Surface complexation model of cation adsorption on humic soils. 1. K+and Ca2+ adsorption . Soil Sci. Plant Nutr. , 41 : 659 – 669 .
   Web of Science ®Google Scholar
• Nakahara , O. and Wada , S.-I. 1995b . Surface complexation model of cation adsorption on humic soils. 2. K+-Ca2+ exchange . Soil Sci. Plant Nutr. , 41 : 671 – 679 .
   Web of Science ®Google Scholar
• Nanzyo , M. 1991 . Stoichiometry for the decrease in the amount of phosphate-induced negative charges of clay fractions of Andisols . Soil Sci. Plant Nutr. , 37 : 357 – 361 .
   Web of Science ®Google Scholar
• Okamura , Y. and Wada , K. 1983 . Electric charge characteristics of horizons of Ando (B) and Red-Yellow B soils and weathered pumices . J. Soil Sci. , 34 : 287 – 295 .
   Web of Science ®Google Scholar
• Parfitt , R.L. 1989 . Phosphate reactions with natural allophane, ferrihydrite and goethite . J. Soil Sci. , 40 : 359 – 369 .
   Web of Science ®Google Scholar
• Sakagami , K. , Nakahara , O. and Hamada , R. 1993 . Soluble silica in a tephra-derived Spodosol in the mountainous region of Chichibu, Japan . Soil Sci. Plant Nutr. , 39 : 139 – 151 .
   Web of Science ®Google Scholar
• Schalscha , E.B. , Pratt , P.F. , Kinjo , T. and Amer , A.J. 1972 . Effect of phosphate salts as saturating solution in cation exchange capacity determination . Soil Sci. Soc. Am. Proc. , 36 : 912 – 914 .
   Web of Science ®Google Scholar
• Schulze , D.G. 1989 . “ An introduction to soil mineralogy ” . In Minerals in Soil Environments , Edited by: Dixon , J.B. and Weed , S.B. 1 – 34 . Madison : Soil Science Society of America . In
   Google Scholar
• Sposito , G. 1981 . The operational definition of the zero point of charge in soils . Soil Sci. Soc. Am. J. , 45 : 292 – 297 .
   Web of Science ®Google Scholar
• Wada , S.-I. Practical significance of the variability of charge . Proceedings of the Ninth International Soil Classification Workshop—Properties, Classification, and Utilization of Andisols and Paddy Soils . Edited by: Kinloch , D.I. , Shoji , S. , Beinroth , F.H. and Eswaran , H. pp. 558 – 566 . Washington , D.C. : Soil Management Support Services . In
   Google Scholar
• Wada , S.-I. and Kawabata , K. 1991 . Ion adsorption on variable charge materials and thermodynamics of ion exchange . Soil Sci. Plant Nutr. , 37 : 191 – 200 .
   Web of Science ®Google Scholar
• Wilson , K.G. 1983 . The renormalization group and critical phenomena . Rev. Mod. Phys. , 55 : 583 – 600 .
   Web of Science ®Google Scholar
• Zachara , J.M. , Smith , S.C. , Resch , C.T. and Cowan , C.E. 1992 . Cadmium sorption to soil separates containing layer silicates and iron and aluminum oxides . Soil Sci. Soc. Am. J. , 56 : 1074 – 1084 .
   Web of Science ®Google Scholar
• Zachara , J.M. , Smith , S.C. , McKinley , J.P. and Resch , C.T. 1993 . Cadmium sorption on specimen and soil smectites in sodium and calcium electrolyte . Soil Sci. Soc. Am. J. , 57 : 1491 – 1501 .
   Web of Science ®Google Scholar
• Ziper , G. , Komarneni , S. and Baker , D.E. 1988 . Specific cadmium sorption in relation to the crystal chemistry of clay minerals . Soil Sci. Soc. Am. J. , 52 : 49 – 53 .
   Web of Science ®Google Scholar