On the use of the Langmuir equation in the interpretation of “adsorption” phenomena. II. The “two-surface” Langmuir equation
Abstract
Abstract A rigorous, mathematical representation of a sorption isotherm as a Stieltjes transform is employed to prove a theorem about the “two‐surface” Langmuir equation. This theorem states that, if the distribution coefficient for an ion sorbed by a soil is a finite, decreasing function of the amount sorbed, q , and extrapolates to zero at some finite value of q , then the sorption isotherm can always be represented mathematically by a two‐surface Langmuir equation. Since the proof of this theorem does not depend on the chemical mechanism of ion sorption, it follows that the adjustable parameters in the two‐surface Langmuir equation cannot be interpreted in terms of surface reactions without additional, independent evidence that only adsorption on two kinds of surface site actually is involved in the ion sorption reaction.
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Linear partitioning or KD models apply only under the tested experimental conditions and reveal nothing about how trace metals are chemically taken up.
“These partitioning models are only applicable at the experimental conditions tested and say nothing about the chemical mechanisms of trace metal uptake (Sposito, 1982;Goldberg and Criscenti, 2007).”
From Trace elements at the intersection of marine biological and geochemical evolution (2016) · cites this paper as Sposito, 1982
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Adsorption of heavy metal ions on soils and soils constituents
Bradl, H. B. (2004) · Journal of Colloid and Interface Science · doi:10.1016/j.jcis.2004.04.005 · Cited by 2,064 · see citing works
Trace elements at the intersection of marine biological and geochemical evolution
Robbins, L. J., Lalonde, S. V., Planavsky, N. J., Partin, C. A., Reinhard, C. T., Kendall, B., Scott, C., Hardisty, D. S., Gill, B. C., Alessi, D. S., et al. (2016) · Earth-Science Reviews · doi:10.1016/j.earscirev.2016.10.013 · Cited by 227 · see citing works
- Authors
- Sposito, G.
- Corresponding author
- Sposito, Garrison
- ORCID
- Sposito, Garrison
- Venue
- Soil Science Society of America Journal
- Publisher
- Wiley
- Published
- 1982-11
- Volume
- 46
- Issue
- 6
- Pages
- 1147-1152
- ISSN
- 0361-5995 (ISSN-L)
- 1435-0661
- OpenAlex
- W2087474570
- Cited by
- 186
- References
- 0
- Citations by year
- 2025: 1 · 2023: 2 · 2022: 5 · 2021: 4 · 2020: 3 · 2019: 9 · 2018: 4 · 2017: 1 · 2016: 4 · 2015: 7 · 2014: 3 · 2013: 2 · 2012: 4
- FWCI
- 5.09
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Soil Science Society of America Journal (publishedVersion)
- Topics
- Physical Sciences › Environmental Science › Water Science and Technology › Adsorption and biosorption for pollutant removal
- Physical Sciences › Environmental Science › Water Science and Technology › Environmental and Analytical Chemistry Studies
- Physical Sciences › Engineering › Civil and Structural Engineering › Soil and Unsaturated Flow
- Keywords
- sorption isotherms, Stieltjes transform, ion sorption, distribution coefficient, soil sorption
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