Molecular tilt on monolayer-protected nanoparticles.

L Giomi; M J Bowick; X. Ma; A. Majumdar

doi:10.1209/0295-5075/97/36005

Molecular tilt on monolayer-protected nanoparticles.

L Giomi, M J Bowick, X. Ma, A. Majumdar

Mathematics And Statistics

Research output: Contribution to journal › Article › peer-review

6 Citations (Scopus)

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Abstract

The structure of the tilted phase of monolayer-protected nanoparticles is investigated by means of a simple Ginzburg-Landau model. The theory contains two dimensionless parameters representing the preferential tilt angle and the ratio epsilon between the energy cost due to spatial variations in the tilt of the coating molecules and that of the van der Waals interactions which favors the preferential tilt. We analyze the model for both spherical and octahedral particles. On spherical particles, we find a transition from a tilted phase, at small epsilon, to a phase where the molecules spontaneously align along the surface normal and tilt disappears. Octahedral particles have an additional phase at small epsilon characterized by the presence of six topological defects. These defective configurations provide preferred sites for the chemical functionalization of monolayer-protected nanoparticles via place-exchange reactions and their consequent linking to form molecules and bulk materials.

Original language	English
Number of pages	6
Journal	EPL (Europhysics Letters)
Volume	97
Issue number	3
DOIs	https://doi.org/10.1209/0295-5075/97/36005
Publication status	Published - 6 Feb 2012

Keywords

monolayer-protected nanoparticles
Ginzburg-Landau model
tilt angles

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10.1209/0295-5075/97/36005

Giomi-etal-EPL2012-Molecular-tilt-monolayer-protected-nanoparticlesAccepted author manuscript, 1.64 MB

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title = "Molecular tilt on monolayer-protected nanoparticles.",

abstract = "The structure of the tilted phase of monolayer-protected nanoparticles is investigated by means of a simple Ginzburg-Landau model. The theory contains two dimensionless parameters representing the preferential tilt angle and the ratio epsilon between the energy cost due to spatial variations in the tilt of the coating molecules and that of the van der Waals interactions which favors the preferential tilt. We analyze the model for both spherical and octahedral particles. On spherical particles, we find a transition from a tilted phase, at small epsilon, to a phase where the molecules spontaneously align along the surface normal and tilt disappears. Octahedral particles have an additional phase at small epsilon characterized by the presence of six topological defects. These defective configurations provide preferred sites for the chemical functionalization of monolayer-protected nanoparticles via place-exchange reactions and their consequent linking to form molecules and bulk materials.",

keywords = "monolayer-protected nanoparticles, Ginzburg-Landau model, tilt angles",

author = "L Giomi and Bowick, {M J} and X. Ma and A. Majumdar",

note = "[1] M.-C. Daniel and D. Astruc, Chem. Rev. 104, 293 (2004). [2] J. C. Love, L. A. Estro , J. K. Kriebel, R. G. Nuzzo, and G. M. Whitesides, Chem. Rev. 105, 1103 (2005). [3] R. P. Andres, J. D. Bielefeld, J. I. Henderson, D. B. Janes, V. R. Kolagunta, C. P. Kubiak, W. J. Mahoney, and R. G. Osifchin, Science 273, 1690 (1996). [4] C. P. Collier, R. J. Saykally, J. J. Shiang, S. E. Henrichs, and J. R. Heath, Science 277, 1978 (1997). [5] G. Han, P. Ghosh, and V. M. Rotello, Nanomedicine 2, 113 (2007). [6] L. Pasquato, P. Pengo, and P. Scrimin, Supramol. Chem. 17, 163 (2004). [7] D. G. Georganopoulou, L. Chang, J. M. Naam, C. S. Thaxton, E. J. Mufson, W. L. Klein, and C. A. Markin, Proc. Natl. Acad. Sci. U.S.A. 102, 2273 (2005). [8] H. Ditlbacher, J. Krenn, G. Schider, A. Leitner, and F. Aussenberg, Appl. Phys. Lett. 81, 1762 (2002). [9] R. MacFarlane, B. Lee, M. Jones, N. Harris, G. Schatz, and C. Mirkin, Science 334, 204 (2011). [10] O. Salata, J. Nanobiotechnology 2, 3 (2004). [11] W. D. Luedtke and U. Landman, J. Phys. Chem. B 102, 6566 (1998). [12] D. Zanchet, B. D. Hall, and D. J. Ugarte, Phys. Chem. B 104, 11013 (2000). [13] U. Landman and W. D. Luedtke, Faraday Discuss. 125, 1 (2004). [14] P. K. Ghorai and S. Glotzer, J. Phys. Chem. C 111, 15857 (2007). [15] M. Eisenberg and R. Guy, Am. Math. Mon. 86, 571 (1979). [16] M. J. Bowick and L. Giomi, Adv. Phys. 58, 449 (2009). [17] A. M. Turner, V. Vitelli, and D. R. Nelson, Rev. Mod. Phys. 82, 1301 (2010). [18] D. R. Nelson, Nano Lett. 2, 1125 (2002). [19] G. A. DeVries, M. Brunnbauer, Y. Hu, A. M. Jackson, B. Long, B. T. Neltner, O. Uzun, B. H. Wunsch, and F. Stellacci, Science 315, 358 (2007). [20] S. Rapino and F. Zerbetto, Small 3, 386 (2007). [21] F. C. MacKintosh and T. C. Lubensky, Phys. Rev. Lett. 67, 1169 (1991). [22] D. A. Outka, J. Stohr, J. Rabe, J. D. Swalen, and H. H. Rotermund, Phys. Rev. Lett. 59, 1321 (1987). [23] H. Sellers, A. Ulman, Y. Shnidman, and J. E. Eilers, J. Am. Chem. Soc. 115, 9389 (1993). [24] M. D. Porter, T. B. Bright, D. L. Allara, and C. E. D. Chidsey, J. Am. Chem. Soc. 109, 3559 (1987). [25] R. G. Nuzzo, L. H. Dubois, and D. L. Allara, J. Am. Chem. Soc. 112, 558 (1990). [26] T. T. Ehler, N. Malmberg, and L. J. Noe, J. Phys. Chem. B 101, 1268 (1997). [27] M. Tinkham, Introduction to Superconductivity (McGraw-Hill, New York, 1996). [28] G. A. DeVries, F. R. Talley, R. P. Carney, and F. Stellacci, Adv. Mater. 20, 4243 (2008).",

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doi = "10.1209/0295-5075/97/36005",

language = "English",

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TY - JOUR

T1 - Molecular tilt on monolayer-protected nanoparticles.

AU - Giomi, L

AU - Bowick, M J

AU - Ma, X.

AU - Majumdar, A.

N1 - [1] M.-C. Daniel and D. Astruc, Chem. Rev. 104, 293 (2004). [2] J. C. Love, L. A. Estro, J. K. Kriebel, R. G. Nuzzo, and G. M. Whitesides, Chem. Rev. 105, 1103 (2005). [3] R. P. Andres, J. D. Bielefeld, J. I. Henderson, D. B. Janes, V. R. Kolagunta, C. P. Kubiak, W. J. Mahoney, and R. G. Osifchin, Science 273, 1690 (1996). [4] C. P. Collier, R. J. Saykally, J. J. Shiang, S. E. Henrichs, and J. R. Heath, Science 277, 1978 (1997). [5] G. Han, P. Ghosh, and V. M. Rotello, Nanomedicine 2, 113 (2007). [6] L. Pasquato, P. Pengo, and P. Scrimin, Supramol. Chem. 17, 163 (2004). [7] D. G. Georganopoulou, L. Chang, J. M. Naam, C. S. Thaxton, E. J. Mufson, W. L. Klein, and C. A. Markin, Proc. Natl. Acad. Sci. U.S.A. 102, 2273 (2005). [8] H. Ditlbacher, J. Krenn, G. Schider, A. Leitner, and F. Aussenberg, Appl. Phys. Lett. 81, 1762 (2002). [9] R. MacFarlane, B. Lee, M. Jones, N. Harris, G. Schatz, and C. Mirkin, Science 334, 204 (2011). [10] O. Salata, J. Nanobiotechnology 2, 3 (2004). [11] W. D. Luedtke and U. Landman, J. Phys. Chem. B 102, 6566 (1998). [12] D. Zanchet, B. D. Hall, and D. J. Ugarte, Phys. Chem. B 104, 11013 (2000). [13] U. Landman and W. D. Luedtke, Faraday Discuss. 125, 1 (2004). [14] P. K. Ghorai and S. Glotzer, J. Phys. Chem. C 111, 15857 (2007). [15] M. Eisenberg and R. Guy, Am. Math. Mon. 86, 571 (1979). [16] M. J. Bowick and L. Giomi, Adv. Phys. 58, 449 (2009). [17] A. M. Turner, V. Vitelli, and D. R. Nelson, Rev. Mod. Phys. 82, 1301 (2010). [18] D. R. Nelson, Nano Lett. 2, 1125 (2002). [19] G. A. DeVries, M. Brunnbauer, Y. Hu, A. M. Jackson, B. Long, B. T. Neltner, O. Uzun, B. H. Wunsch, and F. Stellacci, Science 315, 358 (2007). [20] S. Rapino and F. Zerbetto, Small 3, 386 (2007). [21] F. C. MacKintosh and T. C. Lubensky, Phys. Rev. Lett. 67, 1169 (1991). [22] D. A. Outka, J. Stohr, J. Rabe, J. D. Swalen, and H. H. Rotermund, Phys. Rev. Lett. 59, 1321 (1987). [23] H. Sellers, A. Ulman, Y. Shnidman, and J. E. Eilers, J. Am. Chem. Soc. 115, 9389 (1993). [24] M. D. Porter, T. B. Bright, D. L. Allara, and C. E. D. Chidsey, J. Am. Chem. Soc. 109, 3559 (1987). [25] R. G. Nuzzo, L. H. Dubois, and D. L. Allara, J. Am. Chem. Soc. 112, 558 (1990). [26] T. T. Ehler, N. Malmberg, and L. J. Noe, J. Phys. Chem. B 101, 1268 (1997). [27] M. Tinkham, Introduction to Superconductivity (McGraw-Hill, New York, 1996). [28] G. A. DeVries, F. R. Talley, R. P. Carney, and F. Stellacci, Adv. Mater. 20, 4243 (2008).

PY - 2012/2/6

Y1 - 2012/2/6

N2 - The structure of the tilted phase of monolayer-protected nanoparticles is investigated by means of a simple Ginzburg-Landau model. The theory contains two dimensionless parameters representing the preferential tilt angle and the ratio epsilon between the energy cost due to spatial variations in the tilt of the coating molecules and that of the van der Waals interactions which favors the preferential tilt. We analyze the model for both spherical and octahedral particles. On spherical particles, we find a transition from a tilted phase, at small epsilon, to a phase where the molecules spontaneously align along the surface normal and tilt disappears. Octahedral particles have an additional phase at small epsilon characterized by the presence of six topological defects. These defective configurations provide preferred sites for the chemical functionalization of monolayer-protected nanoparticles via place-exchange reactions and their consequent linking to form molecules and bulk materials.

AB - The structure of the tilted phase of monolayer-protected nanoparticles is investigated by means of a simple Ginzburg-Landau model. The theory contains two dimensionless parameters representing the preferential tilt angle and the ratio epsilon between the energy cost due to spatial variations in the tilt of the coating molecules and that of the van der Waals interactions which favors the preferential tilt. We analyze the model for both spherical and octahedral particles. On spherical particles, we find a transition from a tilted phase, at small epsilon, to a phase where the molecules spontaneously align along the surface normal and tilt disappears. Octahedral particles have an additional phase at small epsilon characterized by the presence of six topological defects. These defective configurations provide preferred sites for the chemical functionalization of monolayer-protected nanoparticles via place-exchange reactions and their consequent linking to form molecules and bulk materials.

KW - monolayer-protected nanoparticles

KW - Ginzburg-Landau model

KW - tilt angles

U2 - 10.1209/0295-5075/97/36005

DO - 10.1209/0295-5075/97/36005

M3 - Article

VL - 97

JO - EPL (Europhysics Letters)

JF - EPL (Europhysics Letters)

IS - 3

ER -

Molecular tilt on monolayer-protected nanoparticles.

Abstract

Keywords

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