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Published in: Rheologica Acta 5/2009

01-06-2009 | Original Contribution

Rotational and translational diffusivities of germanium nanowires

Authors: Bennett D. Marshall, Virginia A. Davis, Doh C. Lee, Brian A. Korgel

Published in: Rheologica Acta | Issue 5/2009

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Abstract

Understanding the rheological behavior of dilute dispersions of cylindrical nanomaterials in fluids is the first step towards the development of rheological models for these materials. Individual particle tracking was used to quantify the rotational and translational diffusivities of high-aspect-ratio germanium nanowires in alcohol solvents at room temperature. In spite of their long lengths and high aspect ratios, the rods were found to undergo Brownian motion. This work represents the first time that the effects of solvent viscosity and confinement have been directly measured and the results compared to proposed theoretical models. Using viscosity as a single adjustable parameter in the Kirkwood model for Brownian rods was found to be a facile and versatile way of predicting the diffusivities of nanowires across a broad range of length scales.

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Literature
go back to reference Broersma S (1981) Viscous force and torque constants for a cylinder. J Chem Phys 74:6989–6990CrossRefADS Broersma S (1981) Viscous force and torque constants for a cylinder. J Chem Phys 74:6989–6990CrossRefADS
go back to reference Chatterjee T, Khrishnamoorti R (2007) Dynamic consequences of the fractal network of nanotube-poly(ethylene oxide) nanocomposites. Phys Rev E 75:114307CrossRef Chatterjee T, Khrishnamoorti R (2007) Dynamic consequences of the fractal network of nanotube-poly(ethylene oxide) nanocomposites. Phys Rev E 75:114307CrossRef
go back to reference Davis VA et al (2004) Phase behavior and rheology of SWNTs in superacids. Macromolecules 37:154–160CrossRefADS Davis VA et al (2004) Phase behavior and rheology of SWNTs in superacids. Macromolecules 37:154–160CrossRefADS
go back to reference Doi M, Edwards SF (1986) The theory of polymer dynamics. Oxford University Press, Oxford Doi M, Edwards SF (1986) The theory of polymer dynamics. Oxford University Press, Oxford
go back to reference Donald AM, Windle AH (1992) Liquid crystalline polymers. Cambridge University Press, Cambridge Donald AM, Windle AH (1992) Liquid crystalline polymers. Cambridge University Press, Cambridge
go back to reference Duggal R, Pasquali M (2006) Dynamics of individual single-walled carbon nanotubes in water by real-time visualization. Phys Rev Lett 96:246104PubMedCrossRefADS Duggal R, Pasquali M (2006) Dynamics of individual single-walled carbon nanotubes in water by real-time visualization. Phys Rev Lett 96:246104PubMedCrossRefADS
go back to reference Gittes F et al (1993) Flexural rigidity of microtubules and actin-filaments measured from thermal fluctuations in shape. J Cell Biol 120:923–934PubMedCrossRef Gittes F et al (1993) Flexural rigidity of microtubules and actin-filaments measured from thermal fluctuations in shape. J Cell Biol 120:923–934PubMedCrossRef
go back to reference Hanrath T, Korgel BA (2004) Chemical surface passivation of Ge nanowires. J Am Chem Soc 126:15466–15472PubMedCrossRef Hanrath T, Korgel BA (2004) Chemical surface passivation of Ge nanowires. J Am Chem Soc 126:15466–15472PubMedCrossRef
go back to reference Hunt AJ et al (1994) The force exerted by a single kinesin molecule against a viscous load. Biophys J 67:766–781PubMedCrossRefADS Hunt AJ et al (1994) The force exerted by a single kinesin molecule against a viscous load. Biophys J 67:766–781PubMedCrossRefADS
go back to reference Kirkwood JG, Plock RJ (1956) Non-Newtonian viscoelastic properties of rod-like molecules in solution. J Chem Phys 24:665–669CrossRefADS Kirkwood JG, Plock RJ (1956) Non-Newtonian viscoelastic properties of rod-like molecules in solution. J Chem Phys 24:665–669CrossRefADS
go back to reference Li GL, Tang JX (2004) Diffusion of actin filaments within a thin layer between two walls. Phys Rev E 69:061921CrossRefADS Li GL, Tang JX (2004) Diffusion of actin filaments within a thin layer between two walls. Phys Rev E 69:061921CrossRefADS
go back to reference Lu X et al (2005) High yield solution-liquid–solid synthesis of germanium nanowires. J Am Chem Soc 127:15718–15719PubMedCrossRef Lu X et al (2005) High yield solution-liquid–solid synthesis of germanium nanowires. J Am Chem Soc 127:15718–15719PubMedCrossRef
go back to reference Maeda H, Maeda Y (2007) Direct observation of brownian dynamics of hard colloidal nanorods. Nano Lett 7:3329–3335PubMedCrossRef Maeda H, Maeda Y (2007) Direct observation of brownian dynamics of hard colloidal nanorods. Nano Lett 7:3329–3335PubMedCrossRef
go back to reference Mukhija D, Solomon MJ (2007) Translational and rotational dynamics of colloidal rods by direct visualization with confocal microscopy. J Colloid Interface Sci 314:98–106PubMedCrossRef Mukhija D, Solomon MJ (2007) Translational and rotational dynamics of colloidal rods by direct visualization with confocal microscopy. J Colloid Interface Sci 314:98–106PubMedCrossRef
go back to reference Murphy CJ et al (2005) Anisotropic metal nanoparticles: synthesis, assembly, and optical applications. J Phys Chem B 109:13857–13870PubMedCrossRef Murphy CJ et al (2005) Anisotropic metal nanoparticles: synthesis, assembly, and optical applications. J Phys Chem B 109:13857–13870PubMedCrossRef
go back to reference Parra-Vasquez ANG et al (2007) Simple length determination of single-walled carbon nanotubes by viscosity measurements in dilute suspensions. Macromolecules 40:4043–4047CrossRefADS Parra-Vasquez ANG et al (2007) Simple length determination of single-walled carbon nanotubes by viscosity measurements in dilute suspensions. Macromolecules 40:4043–4047CrossRefADS
go back to reference Saxton MJ (1997) Single-particle tracking: the distribution of diffusion coefficients. Biophys J 72:1744–1753PubMedCrossRef Saxton MJ (1997) Single-particle tracking: the distribution of diffusion coefficients. Biophys J 72:1744–1753PubMedCrossRef
go back to reference Smith DA et al (2008) Young’s modulus and size-dependent mechanical quality factor of nanoelectromechanical germanium nanowire resonators. J Phys Chem C 112:10725–10729CrossRef Smith DA et al (2008) Young’s modulus and size-dependent mechanical quality factor of nanoelectromechanical germanium nanowire resonators. J Phys Chem C 112:10725–10729CrossRef
go back to reference Song YS (2006) Rheological characterization of carbon nanotubes/poly(ethylene oxide) composites. Rheol Acta 46:231–238CrossRef Song YS (2006) Rheological characterization of carbon nanotubes/poly(ethylene oxide) composites. Rheol Acta 46:231–238CrossRef
go back to reference Wang D, Dai H (2006) Germanium nanowires: from synthesis, surface chemistry, and assembly to devices. Appl Phys A Mater Sci Process 85:217–225CrossRefADS Wang D, Dai H (2006) Germanium nanowires: from synthesis, surface chemistry, and assembly to devices. Appl Phys A Mater Sci Process 85:217–225CrossRefADS
go back to reference Yakobson BI, Couchman LS (2004) Carbon nanotubes: supramolecular mechanics. In: Schwarz JA, Contescu CI, Putyera K (eds) Dekker encyclopedia of nanoscience and nanotechnology. Marcel Dekker, New York, pp 587–601 Yakobson BI, Couchman LS (2004) Carbon nanotubes: supramolecular mechanics. In: Schwarz JA, Contescu CI, Putyera K (eds) Dekker encyclopedia of nanoscience and nanotechnology. Marcel Dekker, New York, pp 587–601
go back to reference Yang Y et al (2006) Thermal and rheological properties of carbon nanotube-in-oil dispersions. J Appl Physi 99:114307CrossRefADS Yang Y et al (2006) Thermal and rheological properties of carbon nanotube-in-oil dispersions. J Appl Physi 99:114307CrossRefADS
Metadata
Title
Rotational and translational diffusivities of germanium nanowires
Authors
Bennett D. Marshall
Virginia A. Davis
Doh C. Lee
Brian A. Korgel
Publication date
01-06-2009
Publisher
Springer-Verlag
Published in
Rheologica Acta / Issue 5/2009
Print ISSN: 0035-4511
Electronic ISSN: 1435-1528
DOI
https://doi.org/10.1007/s00397-009-0361-0

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