Abstract
An energy criterion is proposed for the level of agglomeration (coalescence) of nanowires fixed at the base on a rigid substrate and immersed in a continuous medium (air, liquid), which excludes capillary phenomena. This criterion, based on the competition between the elastic energy of a bent nanowire and its surface formation energy, can also be applied to the attachment of nanowires to a surface and (in a modified form) to the coalescence of details of micro- and nanomachines. Nanowires for surface-enhanced Raman scattering, obtained by template synthesis based on track membranes, with subsequent removal of polymer, are considered as a specific example.
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Notes
Actually, since pores are distributed fairly nonuniformly [24], this relation is valid for only specific small areas with a close-to-constant n value.
The model does not take into account the work on displacement of nanowire centroid with an increase or decrease in the degree of coalescence. On the assumption that this displacement does not exceed dh ≈ dL, one can show that this work, in view of wire nanosizes, is several orders of magnitude smaller than dEs.
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ACKNOWLEDGMENTS
We are grateful to A.V. Naumov for helpful remarks.
Measurements were performed using equipment of the Shared Research Center of the Shubnikov Institute of Crystallography, Federal Scientific Research Centre “Crystallography and Photonics,” Russian Academy of Sciences.
Funding
This study was performed within the State assignment for the Moscow Pedagogical State University on the subject “Physics of Nanostructured Materials: Fundamental Research and Applications in Materials Science, Nanotechnologies, and Photonics.”
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Translated by Yu. Sin’kov
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Razumovskaya, I.V., Kovalets, N.P., Bedin, S.A. et al. Agglomeration of Nanowires on a Substrate for Surface-Enhanced Raman Scattering. J. Exp. Theor. Phys. 132, 818–823 (2021). https://doi.org/10.1134/S1063776121050058
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DOI: https://doi.org/10.1134/S1063776121050058