UNDERSTANDING VARIATION IN PARTITION COEFFICIENT, Kd ...

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Figure I.1. Linear regression between thorium K d values and pH for the pH range from 4 to 8. [The single K d value at pH 10 is identified by the filled circle.] Table I.3. Calculated aqueous speciation of thorium as a function of pH. [The composition of the water and details of the aqueous speciation calculations are presented in Chapter 5. Total thorium concentration used in the aqueous speciation calculations is 1 ng/ml.] pH Dominant Aqueous Species 2+ 3 ThF2 ThF + 3 2- 7 Th(HPO4) 3 I.5 Percent (%) of Total Dissolved Thorium " 9 Th(OH) 4 (aq) 99 54 42 98
The regression equation between the pH range of 4 to 8 that is shown in Figure I.1 is log (Th K d) = -0.13 + 0.69(pH). (I.1) The statistics for this equation are presented in Table I.4. The fact that the P-value for the intercept coefficient is $0.05 indicates that the intercept is not significantly (P $ 0.05) different than 0. The fact that the P-value for the slope coefficient is #0.05 indicates that the slope is significantly (P $ 0.05) different than 1. The lower and upper 95 percent coefficients presented in Table I.4 reflect the 95 percent confidence limits of the coefficients. They were used to calculate the upper and lower limits of expected thorium K d values at a given pH value. I.2.3 Approach Linear regression analyses were conducted with data collected from the literature. These analyses were used as guidance for selecting appropriate K d values for the look-up table. The K d values used in the look-up tables could not be based entirely on statistical consideration because the statistical analysis results were occasionally nonsensible. For example, the data showed a negative correlation between clay content and thorium K d values. This trend contradicts well established principles of surface chemistry. Instead, the statistical analysis was used to provide guidance as to the approximate range of values to use and to identify meaningful trends between the thorium K d values and the solid phase parameters. Thus, the K d values included in the look-up table were in part selected based on professional judgment. Again, only low-ionic strength solutions similar to that expected in far-field ground waters were considered in these analyses. Table I.4. Regression coefficient and their statistics relating thorium K d values and pH. [log (Th K d) = -0.13 + 0.69(pH), based on data presented in Figure I.1.] Coefficients Standard Error I.6 t- Statistic P-value Lower 95% Upper 95% Intercept Coefficient 2.22 1.06 0.47 0.64 -1.77 2.76 Slope Coefficient 0.57 0.18 3.24 0.006 0.19 0.95
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United States Office of Air and Rad
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NOTICE The following two-volume rep
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This publication is the result of a
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TO COMMENT ON THIS GUIDE OR PROVIDE
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CONTENTS NOTICE ...................
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Concentrations Extractable Iron Con
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Appendix A - Acronyms and Abbreviat
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Figure E.1. Variation of K d for Cr
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Table 5.16. Uranium(VI) aqueous spe
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Table H.3. Simple and multiple regr
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1.0 Introduction The objective of t
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discussed. The geochemical modeling
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2.0 The K d Model The simplest and
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track many more parameters and some
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of interest. The retardation factor
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(e.g., soil). An increasing body of
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complexation constants for the cont
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the soil column. Additionally, the
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Element Table 5.2. Concentrations o
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5.2.3 Aqueous Speciation Cadmium fo
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5.2.4 Dissolution/Precipitation/Cop
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cadmium, indicating that cadmium an
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5.2.6.2.2 Limits of K d Values with
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organic chelates (e.g., EDTA). Init
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(tarapacaite) in chromium sludge fr
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K d). Soils containing Mn oxides ox
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Table 5.7. Estimated range of Kd va
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most common valence state of lead e
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Table 5.8. Lead aqueous species inc
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Under reducing conditions, galena (
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C Adsorption of lead increases with
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(Choppin, 1983). Plutonium hydrolyt
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Table 5.10. Plutonium aqueous speci
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5.6.5 Sorption/Desorption Plutonium
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content in the system. Additionally
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much greater concentrations. Thus,
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exchanged which they attributed to
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up tables was based in part on thei
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organic complexes likely predominat
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Thorium undergoes hydrolysis in aqu
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The distribution of thorium aqueous
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from about 10 -8.5 mol/l (0.0007 mg
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Based on the assumptions and limita
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5.10 Tritium Geochemistry And K d V
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uranium. Uranium(VI) species domina
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gives 0.1 to 10 µg/l as the range
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mineral in reducing ore zones (Fron
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Percent Distribution 100 80 60 40 2
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5.11.6 Partition Coefficient, K d ,
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No attempt was made to statisticall
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Table 5.18. Selected chemical and t
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Another objective of this report is
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6.0 REFERENCES Adriano, D. C. 1992.
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Bensen, D. W. 1960. Review of Soil
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Metals by Geomedia. Variables, Mech
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EPA (U.S. Environmental Protection
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Griffin, R. A., A. K. Au, and R. R.
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+ Keeney-Kennicutt, W. L., and J. W
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Mattigod, S. V., A. L. Page, and I.
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Oscarson, D. W., and H. B. Hume. 19
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Relyea, J. F. and D. A. Brown. 1978
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Schultz, R. K., R. Overstreet, and
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Szalay, A. 1964. “Cation Exchange
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Yariv, S., and H. Cross. 1979. Geoc
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APPENDIX A Acronyms, Abbreviations,
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PC Personal computers operating und
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A.3.0 List of Symbols and Notation
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APPENDIX B Definitions
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Clay Content - particle size fracti
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Polynuclear Species - an aqueous sp
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C.1.0 Background Appendix C Partiti
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Cadmium K d Table C.2. Correlation
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C.3.0 Data Set for Soils Table C.4
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Cd K d (ml/g) Clay Cont. (wt%) pH C
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D.1.0 Background Appendix D Partiti
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A second data set (see Section D.4)
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Table D.3. Correlation coefficients
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By transposing the CEC and cesium K
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Table D.6. Cesium K d values measur
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eported in Table D.8 are described
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a 1 b 1 Range of Solution Cs Concen
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Figure D.4. Generalized cesium Freu
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Table D.10. Estimated range of K d
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D.3.0 K d Data Set for Soils and Pu
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Cesium Kd (ml/g) Clay (wt.% ) Mica
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Cesium K d (ml/g) Clay (wt%) Mica (
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Bruggenwert, M. G. M., and A. Kamph
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Shiao, S. Y., P. Rafferty, R. E. Me
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E.1.0 Background Appendix E Partiti
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chromium-reductive soils may stem f
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E.2.0 Approach The approach used to
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Table E.3. Estimated range of K d v
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Table E.4. Data from Rai et al. (19
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E.4.0 References Davis, J. A. and J
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APPENDIX F Partition Coefficients F
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(CEC) of the soils. Such an anomaly
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Table F.1. Summary of K d values fo
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Figure F.2. Variation of K d as a f
Page 220 and 221: F.4.0 References Abd-Elfattah, A.,
Page 222 and 223: APPENDIX G Partition Coefficients F
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Page 234 and 235: Table G.2. Regression models for pl
Page 236 and 237: G.4.0 References Barney, G. S. 1984
Page 238 and 239: Nelson, D. M., R. P. Larson, and W.
Page 240 and 241: APPENDIX H Partition Coefficients F
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Page 244 and 245: Figure H.1. Relation between stront
Page 246 and 247: Figure H.2. Relation between stront
Page 248 and 249: H.2.4 Approach Figure H.4. Relation
Page 250 and 251: A second look-up table (Table H.5)
Page 252 and 253: Sr K d (ml/g) Clay Content (%) pH C
Page 254 and 255: Sr K d (ml/g) Clay Content (%) pH C
Page 256 and 257: Sr K d (ml/g) Clay Conten t (%) pH
Page 264 and 265: Konishi, M., K. Yamamoto, T. Yanagi
Page 266 and 267: APPENDIX I Partition Coefficients F
Page 268 and 269: descriptive statistics of the thori
Page 272 and 273: The look-up table (Table I.5) for t
Page 274 and 275: Thorium K d (ml/g) pH Clay (wt.%) C
Page 276 and 277: Rai, D., A. R. Felmy, D. A. Moore,
Page 278 and 279: J.1.0 Background Appendix J Partiti
Page 280 and 281: J.2.2 Uranium K d Studies on Soils
Page 282 and 283: Washington. The studies included an
Page 284 and 285: and then decreases with increasing
Page 286 and 287: Kd (ml/g) 100,000 10,000 1,000 100
Page 288 and 289: papers. Warnecke et al. (1984) indi
Page 290 and 291: Anderson et al. (1982) summarize an
Page 292 and 293: McKinley and Scholtis (1993) compar
Page 294 and 295: In a similar comparison of sorption
Page 296 and 297: J.3.1 K d Values as a Function ff p
Page 298 and 299: discussed, and one would have to ma
Page 300 and 301: al., 1992; and others). These refer
Page 302 and 303: · Manskaya et al. (1956) studied a
Page 304 and 305: concentrations of humic acid, there
Page 306 and 307: pH U Kd (ml/g) Clay Cont. (wt.%) CE
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pH U Kd (ml/g) Clay Cont. (wt.%) CE
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J.6.0 References Ames, L. L., J. E.
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Erikson, R. L., C. J. Hostetler, R.
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R. C. Ewing. Materials Research Soc
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Sheppard, M. I., and D. H. Thibault
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Yamamoto, T., E. Yunoki, M. Yamakaw
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