Modeling of menisci and capillary forces from the millimeter to the micrometer size range

Journal of Physical Chemistry B

Volumn 105, Issue 2, 2001, Pages 404-412

  Grzybowski, Bartosz A ^a   Bowden, Ned ^a   Arias, Francisco ^a   Yang, Hong ^a   Whitesides, George M ^a  

^a HARVARD UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL METHODS; CRYSTAL STRUCTURE; FINITE ELEMENT METHOD; FLUORINE COMPOUNDS; FREE ENERGY; INTERFACES (MATERIALS); NUCLEIC ACIDS; PROTEINS; WATER;

CAPILLARY FORCES; MENISCI; MESOSCALE SELF ASSEMBLY; MOLECULAR SELF ASSEMBLY; PERFLUORODECALIN;

MOLECULAR DYNAMICS;

EID: 0035131944     PISSN: 15206106     EISSN: None     Source Type: Journal    
DOI: 10.1021/jp0026383     Document Type: Article

References (29)

1. Bowden, N.; Choi, I. S.; Grzybowski, B. A.; Whitesides G. M. J. Am. Chem. Soc. 1999, 727, 5373-5391.
2. Bowden, N.; Terfort, A.; Carbeck, J.; Whitesides, G. M. Science 1997, 276, 233-235.
3. Bowden, N.; Week, M.; Choi, I. S.; Whitesides, G. M. Ace. Chem. Res., in press.
4. Adamson, A. W. Physical Chemistry of Surfaces, 5th ed.; John Wiley: New York, 1990; Chapters 2, 3, 4, 13.
5. Tsujii, K. Surface Activity: Principles, Phenomena, and Applications; Academic Press: San Diego, 1998.
6. Kralchevsky, P. A.; Nagayama, K. Adv. Colloid Interface Sei. 2000, 85, 145-192.
7. Kralchevsky, P. A.; Paunov, V. N.; Nagayama, K. J. Fluid. Mech. 1995,299, 105-132.
8. Kralchevsky, P. A.; Nagayama, K. Langimtir 1994, 10, 23-38.
9. Fortes, M. A. Can. J. Chem. 1982, 60, 2889-2895.
10. For background reading on FEM, see: Hughes, J. R. The Finite Element Methodol. Linear Static and Dynamic Finite Analysis; Prentice Hall: Engelwood Cliffs, NJ, 1987.
11. Burnett, D. S. Finite Element Analysis. From Concepts to Applications; Addison-Wesley: Menlo Park, CA, 1987.
12. Desiraju, G. R. Crystal Engineering: The Design of Organic Solids; Elsevier: New York, 1989.
13. Stang, P. J.; Oleynuk, B. Ace. Chem. Res. 1997, 30, 502-518.
14. Poirer, G. E. Chem. Rev. 1997, 97, 1117-1127.
15. Whitesides, G. M.; Simanek, E. E.; Mathias, J. P.; Seto, C. T.; Chin, D. C.; Mammen, M.; Gordon, D. M. Ace. Chem. Res. 1995,28,37-44.
16. Denkov, N. D.; Kralchevsky, P. A.; Ivanov, I. B. J. Dispersion Sei. Technol. 1997, 18, 577-591.
17. Denkov, N. D.; Velev, O. D.; Kralchevsky, P. A.; Ivanov, I. B.; Yoshimura, H.; Nagayama, K. Nature 1993, 361, 26.
18. Nagayama, K.; Takeda S.; Endo, S.; Yoshimura, H. Jpn. J. Appl. Phys. 1 1995, 34, 3947-3954.
19. Rothemund, P. W. Proc. Natl Acad. Sei. U.S.A. 2000, 97, 984-989.
20. Park, S. H.; Qin, D.; Xia, Y. Adv. Mater. 1998, 10, 1028-1031.
21. Simpson, A. W.; Hodkinson, P. H. Nature 1972, 237, 230-232.
22. For the physical properties of PDMS, see: Publication No. 10-177-87, Dow Corning, Midland, MI.
23. Markina, Z. N.; Bovkun, O. P.; Zadymova, N. M.; Roskete, E.; Shchukin, E. D.; Makarov, K. N.; Gervits, L. L. Zh. Vses. Khim. O-va. Im. D. I. Mendeleeva 1988, 33, 346-348.
24. Davis, H. T. Statistical Mechanics of Phases, Interfaces, And Thin Films; VCH: New York, 1996; Chapter 7.
25. ref ≫ r, this contribution to the gravitational energy of the system is negligible.
26. Surface Evolver was developed by K. Brakke; for a review, see Brakke, K. Exp. Math. 1992, 1, 141-152. Evolver is available free of charge from a public domain (www.geom.umn.edu/software/download/evolver.html) of the Geometry Center at the University of Minnesota.
27. Abbott, N. L.; Racz, L. M.; Szekely, J.; Whitesides, G. M. J. Am. Chem. Soc. 1994, 116, 290-294.
28. The gravitational energy reported by Evolver includes the energy of wetting of the PDMS faces - if the wetting of the faces is constant while the hexagons are brought into contact (as for positive-positive or negative-negative interactions), this energy does not change with respect to the reference state, and Evolver's gravitational energy has its true meaning. If, however, the wetted area on the faces changes, the changes in gravitational energy reflect both the true gravitational effects, and the dewettinc effects.
29. Tien J.; Clark T. D.; Duffy, D. C; Whitesides, G. M. Unpublished.