Special Service and Features
Observation of inhomogeneous plasmonic field distribution in a nanocavity
Posted On:
24 AUG 2020 7:37PM by PIB Chennai
The progress of plasmon-based technologies relies on an understanding of the properties of the enhanced electromagnetic fields generated by the coupling nanostrucutres. Plasmon-enhanced applications include advanced spectroscopies, optomechanics, optomagnetics and biosensing. In all plasmon-based techniques and applications, field intensity distribution is a decisive factor. The currently available plasmon imaging and molecular recognition techniques take advantage of the inhomogeneous field in the transverse plane (xy). However, little is known about the field distribution in the longitudinal direction (z), i.e., the actual magnitude of the field gradient along the longitudinal direction has never been measured experimentally. Especially, precise determination of plasmon field intensity distribution within a nanogap remains challenging.
To overcome these obstacles and to measure the inhomogeneity along the longitudinal direction (z) in a nanocavity, a group of international researchers worked on this mission and came out with their findings which is reported in the latest issue of Nature Nanotechnology journal. This international research team includes Dr. M. Kathiresan, a scientist from the CSIR-Central Electrochemical Research Institute (CSIR-CECRI), Karaikudi, TN.
![](data:image/png;base64,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)
Dr. M. Kathiresan
A self-assembled monolayer (SAM) based molecular ruler was made from a set of viologens with which the plasmon field distribution in the longitudinal (z) direction of a nanocavity was measured precisely with ~2-Å spatial resolution. Molecular ruler composes of a set of viologen-based monolayers assembled on an atomically flat Au(111) single-crystal surface. A nanocavity of well-defined size was then constructed around each self-assembled monolayer (SAM) by placing either core/shell Au/glass nanoparticles or bare Au nanoparticles on top. The size of the nanocavity was measured based on the height of the SAM. By acquiring surface-enhanced Raman scattering (SERS) spectra from the set of viologens, relative field strengths at different longitudinal positions in the nanocavity were measured. Spatial resolution for measurement of longitudinal field distribution is limited by the difference in the position of the probe moiety, along with each type of viologen molecule, and it is ~2 Å. We have shown that the electric field strength is inhomogeneous with an unexpectedly large gradient, as a result of the self-focusing effect of individual molecules in the molecular monolayer to form a plasmonic comb in the nanocavity.
This research not only enriches the fundamental understanding of the plasmonic field distribution in nanocavities, it may also be applied in variety of applications, including plasmon-enhanced reactions, photo-selective bond dissociation, ultra-high-resolution Raman chemical imaging and optical force-controlled assembly of nanostructures for nanodevices
(Release ID: 1648286)
Visitor Counter : 134
Read this release in:
Tamil