Mesoscopic study of the effects of gel concentration and materials on the formation of precipitation patterns

Langmuir

Volumn 28, Issue 32, 2012, Pages 11745-11754

  Chen, Li ^a,b   Kang, Qinjun ^b   He, Ya Ling ^a   Tao, Wen Quan ^a  

^a XI'AN JIAOTONG UNIVERSITY   (China)

^b LOS ALAMOS NATIONAL LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CRYSTAL GROWTH MODEL; GEL CONCENTRATION; GEL MATERIALS; GEL POROSITY; HETEROGENEOUS REACTIONS; LATTICE BOLTZMANN METHODS (LBM); LIESEGANG; MESOSCOPIC MODELS; MESOSCOPICS; POROUS STRUCTURES; PRECIPITATION PATTERNS; REGULAR BANDS; TRANSITION PATTERNS; TREE-LIKE PATTERNS;

COMPUTER SIMULATION; CRYSTAL GROWTH; FORESTRY; NUCLEATION; SURFACE REACTIONS;

PRECIPITATES;

ELECTROLYTE;

ARTICLE; CHEMICAL STRUCTURE; CHEMISTRY; CONFORMATION; DIFFUSION; GEL; HYDRODYNAMICS; POROSITY; SURFACE PROPERTY;

DIFFUSION; ELECTROLYTES; GELS; HYDRODYNAMICS; MODELS, MOLECULAR; MOLECULAR CONFORMATION; POROSITY; SURFACE PROPERTIES;

EID: 84865155369     PISSN: 07437463     EISSN: 15205827     Source Type: Journal    
DOI: 10.1021/la3020095     Document Type: Article

References (51)

1. Shinbrot, T.; Muzzio, F. J. Noise to order Nature 2001, 410, 251-258 (Pubitemid 32216603)
2. Whitesides, G. M.; Grzybowski, B. A. Self-assembly at all scales Science 2002, 295, 2418-2421 (Pubitemid 34270248)
3. Liesegang, R. E. Ueber einige eigenschaften von gallerten Naturwiss. Wochenschr. 1896, 11, 353-362
4. Grzybowski, B. A.; Bishop, K. J. M.; Campbell, C. J.; Fialkowski, M.; Smoukov, S. K. Micro- and nanotechnology via reaction-diffusion Soft Matter 2005, 1, 114-128 (Pubitemid 41420017)
5. Ostwald, W. Besprechung der Arbeit Liesegang A-Linien; Engelmann: Leipzig, 1897.
6. Wagner, C. Mathematical analysis of the formation of periodic precipitations J. Colloid Sci. 1950, 5, 85-97
7. Prager, S. Periodic precipitation J. Chem. Phys. 1956, 25, 279
8. Smith, D. A. On Ostwald's supersaturation theory of rhythmic precipitation (Liesegang's rings) J. Chem. Phys. 1984, 81, 3102-3115
9. Venzl, G.; Ross, J. Nucleation and colloidal growth in concentration gradients (Liesegang rings) J. Chem. Phys. 1982, 77, 1302-1306
10. Lifshitz, I. M.; Slyozov, V. V. The kinetics of precipitation from supersaturated solid solutions J. Phys. Chem. Solids 1961, 19, 35-50
11. Feeney, R.; Schmidt, S. L.; Strickholm, P.; Chadam, J.; Ortoleva, P. Periodic precipitation and coarsening waves: applications of the competitive particle growth model J. Chem. Phys. 1982, 78, 1293
12. Morse, H. W.; Pierce, G. W. Proc. Am. Acad. Arts Sci. 1903, 38, 625
13. Mueller, S. C.; Kai, S.; Ross, J. Periodic precipitation patterns in the presence of concentration gradients. 1. Dependence on ion product and concentration difference J. Phys. Chem. 1982, 86, 4078-4087
14. Jablczynski, K. Memoires presentes à la société chimique les anneaux de Liesegang Bull. Soc. Chim. Fr. 1923, 33, 1592-1602
15. Matalon, R.; Packter, A. The Liesegang phenomenon. I. Sol protection and diffusion J. Colloid Sci. 1955, 10, 46-62
16. Müller, S. C.; Kai, S.; Ross, J. Curiosities in periodic precipitation patterns Science 1982, 216, 635-637
17. Molnar, F., Jr.; Izsak, F.; Lagzi, I. Design of equidistant and revert type precipitation patterns in reaction-diffusion systems Phys. Chem. Chem. Phys. 2008, 10, 2368-2373
18. Toramaru, A.; Harada, T.; Okamura, T. Experimental pattern transitions in a Liesegang system Phys. D: Nonlinear Phenom. 2003, 183, 133-140
19. Lagzi, I.; Ueyama, D. Pattern transition between periodic Liesegang pattern and crystal growth regime in reaction-diffusion systems Chem. Phys. Lett. 2009, 468, 188-192
20. Büki, A.; Kárpáti-Smidróczki, é.; Zrínyi, M. Two dimensional chemical pattern formation in gels. Experiments and computer simulation Physica A 1995, 220, 357-375
21. Lagzi, I. Formation of Liesegang patterns in an electric field Phys. Chem. Chem. Phys. 2002, 4, 1268-1270
22. Bena, I.; Droz, M.; Lagzi, I.; Martens, K.; Rácz, Z.; Volford, A. Designed patterns: flexible control of precipitation through electric currents Phys. Rev. Lett. 2008, 101, 075701
23. Lagzi, I. Controlling and engineering precipitation patterns Langmuir 2012, 28, 3350-3354
24. Barge, L. M.; Nealson, K. H.; Petruska, J. Organic influences on inorganic patterns of diffusion-controlled precipitation in gels Chem. Phys. Lett. 2010, 493, 340-345
25. Fiałkowski, M.; Bitner, A.; Grzybowski, B. A. Wave optics of Liesegang rings Phys. Rev. Lett. 2005, 94, 018303
26. Chopard, B.; Luthi, P.; Droz, M. Reaction-diffusion cellular automata model for the formation of Leisegang patterns Phys. Rev. Lett. 1994, 72, 1384-1387 (Pubitemid 24975802)
27. Chopard, B.; Luthi, P.; Droz, M. Microscopic approach to the formation of Liesegang patterns J. Stat. Phys. 1994, 76, 661-677
28. Jahnke, L.; Kantelhardt, J. W. Equidistant band formation of precipitation in a reaction-diffusion process New J. Phys. 2010, 12, 023009
29. Jahnke, L.; Kantelhardt, J. W. Consequences of fluctuations in Liesegang pattern formation Europhys. Lett. 2008, 84, 48006
30. Jahnke, L.; Kantelhardt, J. W. Comparison of models and lattice-gas simulations for Liesegang patterns Eur. Phys. J. 2008, 161, 121-141
31. Succi, S. The Lattice Boltzmann Equation for Fluid Dynamics and Beyond; Oxford University Press: Oxford, U.K., 2001.
32. Chen, S.; Doolen, G. D. Lattice Boltzmann method for fluid flows Annu. Rev. Fluid Mech. 1998, 30, 329-364
33. Fabritiis, G. d.; Mansutti, A.; Succi, S. Mesoscopic models of liquid/solid phase transitions Int. J. Mod. Phys. C 1998, 9, 1405-1415 (Pubitemid 128479620)
34. Miller, W.; Succi, S.; Mansutti, D. Lattice Boltzmann model for anisotropic liquid-solid phase transition Phys. Rev. Lett. 2001, 86, 3578-3581 (Pubitemid 32416181)
35. Kang, Q.; Zhang, D.; Lichtner, P. C.; Tsimpanogiannis, I. N. Lattice Boltzmann model for crystal growth from supersaturated solution Geophys. Res. Lett. 2004, 31, L21604
36. Kang, Q.; Lichtner, P. C.; Zhang, D. Lattice Boltzmann pore-scale model for multicomponent reactive transport in porous media J. Geophys. Res. 2006, 111, B05203
37. Kang, Q.; Lichtner, P. C.; Zhang, D. An improved lattice Boltzmann model for multicomponent reactive transport in porous media at the pore scale Water Resour. Res. 2007, 43, W12S14
38. 2 sequestration Transp. Porous Media 2010, 82, 197-213
39. Dee, G. T. The patterns produced by precipitation at a moving reaction front Physica D 1986, 23, 340-344
40. Droz, M.; Magnin, J.; Zrinyi, M. Liesegang patterns: studies on the width law J. Chem. Phys. 1999, 110, 9618
41. Sullivan, S. P.; Sani, F. M.; Johns, M. L.; Gladden, L. F. Simulation of packed bed reactors using lattice Boltzmann methods Chem. Eng. Sci. 2005, 60, 3405-3418 (Pubitemid 40554203)
42. Chen, L.; Luan, H.-B.; He, Y.-L.; Tao, W.-Q. Pore-scale flow and mass transport in gas diffusion layer of proton exchange membrane fuel cell with interdigitated flow fields International Journal of Thermal Sciences 2012, 51, 132-144
43. Chen, L.; Luan, H.; Feng, Y.; Song, C.; He, Y.-L.; Tao, W.-Q. Coupling between finite volume method and lattice Boltzmann method and its application to fluid flow and mass transport in proton exchange membrane fuel cell Int. J. Heat Mass Transfer 2012, 55, 3834-3848
44. 2- Colloids Surf., A 2009, 332, 192-199
45. Chen, L.; Kang, Q. LBMReaTran (qkang@lanl.gov; lichen@lanl.gov), 2012.
46. Pernstich, K. P.; Ginés, R.; Caseri, W. R. Rhythmic crystal growth into hierarchical patterns by polymer-mediated self-assembly Small 2011, 7, 788-795
47. Antal, T.; Droz, M.; Magnin, J.; Rácz, Z.; Zrinyi, M. Derivation of the Matalon-Packter law for Liesegang patterns J. Chem. Phys. 1998, 109, 9479
48. Rácz, Z. Formation of Liesegang patterns Physica A 1999, 274, 50-59 (Pubitemid 30523110)
49. Antal, T.; Droz, M.; Magnin, J.; Rácz, Z. Formation of Liesegang patterns: a spinodal decomposition scenario Phys. Rev. Lett. 1999, 83, 2880-2883 (Pubitemid 129689894)
50. Connington, K.; Kang, Q.; Viswanathan, H.; Abdel-Fattah, A.; Chen, S. Peristaltic particle transport using the lattice Boltzmann method Phys. Fluids 2009, 21, 053301
51. Wang, M.; Kang, Q. Modeling electrokinetic flows in microchannels using coupled lattice Boltzmann methods J. Comput. Phys. 2010, 229, 728-744