Critical exponents for solvent extraction resolved using SAXS

Journal of Physical Chemistry B

Volumn 118, Issue 1, 2014, Pages 315-322

  Ellis, Ross J ^a  

^a ARGONNE NATIONAL LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CRITICAL CONCENTRATION; CRITICAL TEMPERATURES; SMALL ANGLE X-RAY SCATTERING; SOLUTE CONCENTRATIONS; THERMODYNAMIC PARAMETER; THIRD PHASE FORMATION; VARIABLE TEMPERATURE; WATER-IN-OIL MICROEMULSIONS;

MICROEMULSIONS;

SOLVENT EXTRACTION;

EID: 84892581711     PISSN: 15206106     EISSN: 15205207     Source Type: Journal    
DOI: 10.1021/jp408078v     Document Type: Article

References (59)

1. Osseo-Asare, K. Aggregation, reversed micelles, and microemulsions in liquid-liquid-extraction-The tri-normal-butyl phosphate-diluent-water- electrolyte system Adv. Colloid Interface Sci. 1991, 37, 123-173
2. Osseo-Asare, K. In Third Phase Formation in Solvent Extraction: a Microemulsion Model; Metal Separation Technologies Beyond 2000: Integrating Novel Chemistry with Processing; Warrendale, P. A.; Liddell, K. C.; Chaiko, D. J., Eds.; Minerals, Metals & Materials Society: Warrendale, PA, 1999; pp 339-346.
3. Erlinger, C.; Belloni, L.; Zemb, T.; Madic, C. Attractive interactions between reverse aggregates and phase separation in concentrated malonamide extractant solutions Langmuir 1999, 7) 2290-2300
4. Chiarizia, R.; Briand, A.; Jensen, M. P.; Thiyagarajan, P. SANS study of reverse micelles formed upon the extraction of inorganic acids by TBP in n -octane Solvent Extr. Ion Exch. 2008, 26, 333-359
5. Plaue, J.; Gelis, A.; Czerwinski, K. Plutonium third phase formation in the 30% TBP/nitric acid/hydrogenated polypropylene tetramer system Solvent Extr. Ion Exch. 2006, 24, 271-282
6. Testard, F.; Zemb, T.; Bauduin, P.; Berthon, L. Third-phase formation in liquid/liquid extraction: A colloidal approach. In Ion Exchange and Solvent Extraction: A Series of Advances; Moyer, B. A., Ed.; CRC Press: Boca Raton, FL, 2010; Vol. 19, pp 381-428.
7. 3, TBP- n -dodecane system Langmuir 2003, 19 (23) 9592-9599
8. Nave, S.; Mandin, C.; Martinet, L.; Berthon, L.; Testard, F.; Madic, C.; Zemb, T. Supramolecular organisation of tri-n-butyl phosphate in organic diluent on approaching third phase transition Phys. Chem. Chem. Phys. 2004, 6 (4) 799-808
9. Bellocq, A.-M. In Critical Behavior of Surfactant Solutions; Springer: Berlin, 1994; pp 521-58.
10. Bellocq, A. M.; Honorat, P.; Roux, D. Experimental evidence for a continuous variation of effective critical exponents in a microemulsion system J. Phys. (Les Ulis, Fr.) 1985, 46, 743-8
11. Bellocq, A. M.; Roux, D. In Phase Diagram and Critical Behavior of a Quaternary Microemulsion System; CRC Press: Boca Raton, FL, 1987; pp 33-77.
12. Roux, D.; Bellocq, A. M. Experimental evidence for an apparent field variable in a critical microemulsion system Phys. Rev. Lett. 1984, 52, 1895-8
13. Kotlarchyk, M.; Chen, S. H.; Huang, J. S. Critical behavior of a microemulsion studied by small-angle neutron scattering Phys. Rev. A 1983, 28, 508-11
14. Huang, J. S.; Kim, M. W. Microemulsions near critical points Proc. Int. Sch. Phys. Enrico Fermi 1985, 90, 864-75
15. Cazabat, A. M.; Langevin, D.; Meunier, J.; Pouchelon, A. Critical behavior in microemulsions Adv. Colloid Interface Sci. 1982, 16, 175-99
16. Johnston, R. G.; Clark, N. A.; Wiltzius, P.; Cannell, D. S. Critical behavior near a vanishing miscibility gap Phys. Rev. Lett. 1985, 54, 49-52
17. Dorshow, R.; De, B. F.; Bunton, C. A.; Nicoli, D. F. Critical-like behavior observed for a five-component microemulsion Phys. Rev. Lett. 1981, 47, 1336-9
18. Ben, A. I.; Ober, R.; Nakache, E.; Williams, C. E. A small angle X-ray scattering investigation of the structure of a ternary water-in-oil microemulsion Colloids Surf. 1992, 69, 87-97
19. Cai, H.-L.; An, X.-Q.; Liu, B.; Qiao, Q.-A.; Shen, W.-G. Critical Behavior of {DMA + AOT + n-Octane} Nonaqueous Microemulsion with the Molar Ratio (ω = 2.66) of DMA to AOT J. Solution Chem. 2010, 39, 718-726
20. Jayalakshmi, Y.; Beysens, D. Critical behavior of a ternary microemulsion studied by turbidity, density, and refractive index Phys. Rev. A 1992, 45, 8709-18
21. Saidi, Z.; Mathew, C.; Peyrelasse, J.; Boned, C. Percolation and critical exponents for the viscosity of microemulsions Phys. Rev. A 1990, 42, 872-6
22. Van, D. M. A.; Casteleijn, G.; Joosten, J. G. H.; Levine, Y. K. Percolation in oil-continuous microemulsions. A dielectric study of Aerosol OT/water/isooctane J. Chem. Phys. 1986, 85, 626-31
23. Sorensen, C. M. Critical exponent doubling in microemulsion systems Chem. Phys. Lett. 1985, 117, 606-8
24. Lachaise, J.; Graciaa, A.; Pedeboscq, P.; Martinez, A.; Rousset, A. Opalescence of microemulsions close to the demixing point C. R. Seances Acad. Sci., Ser. 2 1982, 295, 545-50
25. Brush, S. G. History of the Lenz-Ising model Rev. Mod. Phys. 1967, 39, 883-93
26. Sengers, J. V.; Sengers, A. L. The critical region Chem. Eng. News 1968, 46, 104-18
27. Ellis, R. J.; Audras, M.; Antonio, M. R. Mesoscopic aspects of phase transitions in a solvent extraction system Langmuir 2012, 28, 15498-15504
28. Gatrone, R. C.; Kaplan, L.; Horwitz, E. P. The synthesis and purification of the carbamoylmethylphosphine oxides Solvent Extr. Ion Exch. 1987, 5, 1075-116
29. Keiderling, U.; Gilles, R.; Wiedenmann, A. Application of silver behenate powder for wavelength calibration of a SANS instrument-a comprehensive study of experimental setup variations and data processing techniques J. Appl. Crystallogr. 1999, 32, 456-463
30. Guinier, A.; Fournet, G. Small-Angle Scattering of X-rays; John Wiley & Sons: New York, 1955; 268 pp.
31. 5 mixtures and microemulsions with n -octane J. Chem. Phys. 1999, 110, 10623-10632
32. Fritz, G.; Bergmann, A.; Glatter, O. Evaluation of small-angle scattering data of charged particles using the generalized indirect Fourier transformation technique J. Chem. Phys. 2000, 113, 9733-9740
33. Glatter, O.; Fritz, G.; Lindner, H.; Brunner-Popela, J.; Mittelbach, R.; Strey, R.; Egelhaaf, S. U. Nonionic micelles near the critical point: micellar growth and attractive interaction Langmuir 2000, 16, 8692-8701
34. Percus, J. K.; Yevick, G. J. Analysis of classical statistical mechanics by means of collective coordinates Phys. Rev. 1958, 110, 1-13
35. 3/TBP- n -dodecane system Sep. Sci. Technol. 2003, 38, 3313-3331
36. 3-TBP, n -dodecane system Solvent Extr. Ion Exch. 2003, 21, 1-27
37. Chiarizia, R.; Jensen, M. P.; Rickert, P. G.; Kolarik, Z.; Borkowski, M.; Thiyagarajan, P. Extraction of zirconium nitrate by TBP in n-octane: Influence of cation type on third phase formation according to the "sticky spheres" model Langmuir 2004, 20, 10798-10808
38. Antonio, M. R.; Chiarizia, R.; Gannaz, B.; Berthon, L.; Zorz, N.; Hill, C.; Cote, G. Aggregation in solvent extraction systems containing a malonamide, a dialkylphosphoric acid and their mixtures Sep. Sci. Technol. 2008, 43, 2572-2605
39. Barker, J. A.; Henderson, D. Perturbation theory and equation of state for fluids. II. Successful theory of liquids J. Chem. Phys. 1967, 47, 4714-21
40. Fritz, G.; Glatter, O. Structure and interaction in dense colloidal systems: evaluation of scattering data by the generalized indirect Fourier transformation method J. Phys.: Condens. Matter 2006, 18, S2403-S2419
41. Sharma, S. C.; Shrestha, R. G.; Shrestha, L. K.; Aramaki, K. Viscoelastic wormlike micelles in mixed nonionic fluorocarbon surfactants and structural transition induced by oils J. Phys. Chem. B 2009, 113, 1615-1622
42. Shrestha, L. K.; Sato, T.; Dulle, M.; Glatter, O.; Aramaki, K. Effect of lipophilic tail architecture and solvent engineering on the structure of trehalose-based nonionic surfactant reverse micelles J. Phys. Chem. B 2010, 114 (.) 12008-12017
43. Shrestha, L. K.; Shrestha, R. G.; Aramaki, K. Intrinsic parameters for the structure control of nonionic reverse micelles in styrene: SAXS and rheometry studies Langmuir 2011, 27, 5862-5873
44. Shrestha, L. K.; Yamamoto, M.; Arima, S.; Aramaki, K. Charge-free reverse wormlike micelles in nonaqueous media Langmuir 2011, 27, 2340-2348
45. Chen, S. H. Small angle neutron scattering studies of the structure and interaction in micellar and microemulsion systems Annu. Rev. Phys. Chem. 1986, 37, 351-99
46. 3, TBP- n -octane system with Baxter's "sticky spheres" model Solvent Extr. Ion Exch. 2004, 22, 325-351
47. Thiyagarajan, P.; Diamond, H.; Horwitz, E. P. Small-angle neutron scattering studies of the aggregation of praseodymium trinitrate-octyl(phenyl) (N,N-diisobutylcarbanoyl) phosphine oxide (CMPO) and praseodymium trichloride-CMPO complexes in organic solvents J. Appl. Crystallogr. 1988, 21, 848-52
48. Glatter, O. The inverse scattering problem in small-angle scattering. In Neutrons, X-Rays and Light; Lindner, P.; Zemb, T., Eds.; Elsevier Science B.V.: Amsterdam, 2002; pp 73-102.
49. Ellis, R. J.; Anderson, T. L.; Antonio, M. R.; Braatz, A.; Nilsson, M. A SAXS study of aggregation in the synergistic TBP-HDBP solvent extraction system J. Phys. Chem. B 2013, 117 (19) 5916-5924
50. Ellis, R. J.; Antonio, M. R. Coordination structures and supramolecular architectures in a cerium(III)-malonamide solvent extraction system Langmuir 2012, 28, 5987-5998
51. Ellis, R. J.; Meridiano, Y.; Chiarizia, R.; Berthon, L.; Muller, J.; Couston, L.; Antonio, M. R. Periodic behavior of lanthanide coordination within reverse micelles Chem.-Eur. J. 2013, 19, 2663-75
52. Glatter, O. The interpretation of real-space information from small-angle scattering experiments J. Appl. Crystallogr. 1979, 12, 166-75
53. Bauduin, P.; Testard, F.; Berthon, L.; Zemb, T. Relation between the hydrophile/hydrophobe ratio of malonamide extractants and the stability of the organic phase: investigation at high extractant concentrations Phys. Chem. Chem. Phys. 2007, 9 (28) 3776-3785
54. Shrestha, L. K.; Sharma, S. C.; Sato, T.; Glatter, O.; Aramaki, K. Small-angle X-ray scattering (SAXS) study on nonionic fluorinated micelles in aqueous system J. Colloid Interface Sci. 2007, 316, 815-824
55. Wheeler, J. C.; Andersen, G. R. Some interesting new phase diagrams in hydrogen-bonded liquid mixtures J. Chem. Phys. 1980, 73, 5778-85
56. Venkatachalam, S.; Kumar, A.; Gopal, E. S. R. On the nature of the coexistence surface and the critical double point in a polymer plus poor solvent system J. Chem. Phys. 1995, 103, 6645-52
57. Andersen, G. R.; Wheeler, J. C. Directionality dependence of lattice models for solutions with closed loop coexistence curves J. Chem. Phys. 1978, 69, 2082-8
58. Andersen, G. R.; Wheeler, J. C. Theory of lower critical solution points in aqueous mixtures J. Chem. Phys. 1978, 69, 3403-13
59. Wheeler, J. C. Exactly soluble two-component lattice solution with upper and lower critical solution temperatures J. Chem. Phys. 1975, 62, 433-9