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Topology measurements of metal nanoparticles with 1 nm accuracy by Confocal Interference Scattering Microscopy

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Abstract

We present a novel scattering microscopy method to detect the orientation of individual silver nanorods and to measure their relative distances. Using confocal microscopy in combination with either the fundamental or higher order laser modes, scattering images of silver nanorods were recorded. The distance between two individual nanorods was measured with an accuracy in the order of 1 nm. We detected the orientation of isolated silver nanorods with a precision of 0.5 degree that corresponds to a rotational arch of about 1 nm. The results demonstrate the potential of the technique for the visualization of non-bleaching labels in biosciences.

©2007 Optical Society of America

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Figures (5)

Fig. 1.
Fig. 1. AFM image of a spatially isolated silver nanorod. Inset left: Profiles of the particle taken along the white dashed lines. Inset right: Image of a representative silver nanorod cut from a transmission electron microscope-micrograph (its aspect ratio equals R ≃ 2). Note that the hight (short axis) of the imaged nanorod equals b = 25 nm.
Fig. 2.
Fig. 2. Scheme of the optical setup (MC: Mode converter, SF: Spatial filter, BS: Beam splitter, L: Lens, MO: Microscope objective, SC: (x,y)-scanning stage, S: Sample). Inset (I): Intensity profiles in the focal regime of the excitation beams focused on a glass-PVA interface: Linearly polarized Gaussian mode (LPGM), left; azimuthally polarized doughnut mode (APDM), center; radially polarized doughnut mode (RPDM), right. (a)-(c): x and y in-focus intensity cross-sections (continuous/dotted line) taken from the images (d)-(f), (d)-(f): (x, y)-plane in-focus intensity profiles, (g)-(i): (x, z)-plane intensity profiles. Inset (II): Intensity profiles of the parallel beam for the three different modes. Note that the polarization is indicated by arrows.
Fig. 3.
Fig. 3. CISM images of silver nanorods on a glass cover-slide covered by PVA and excited with an APDM (left) and a RPDM (right), respectively at 514 nm. (a), (b): Experimental data, the insets show the intensity profiles along the white dashed lines. (c), (d): Simulated data. Poissonian noise was added to account for the experimental conditions.
Fig. 4.
Fig. 4. CISM images of the same three silver nanorods (1,2,3) using an LPGM (a) and a APDM (c). Left column: Experimental data. Right column: Patterns reproduced by the fit algorithm based on Equations 7 (b) and 8 (d).
Fig. 5.
Fig. 5. CISM images of the same silver nanorod excited with an APDM. The sample is rotated from picture to picture by around 10. (a)-(c): Experimental data. (d)-(f): Fitted patterns reproduced by the model function defined in Eq. 8. To guide the eye the measured angle α 0,1,2 is indicated. (g): Plot of the measured angle α versus the adjusted angle α’.

Tables (3)

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Table 1. Simulated topological evaluations

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Table 2. Relative distances (Dij ij;i, j = 1,2,3) for the three silver nanorods imaged in Fig. 4 excited by a LPGM and an APDM respectively. The results were obtained using the fit algorithm based on Equations 7 and 8

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Table 3. Orientation of the three silver nanorods imaged in Fig. 4(d) using an APDM.

Equations (8)

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E x y z = E t x y z z > z int
E x y z = E f x y z + E r x y z z z int
I F E 2 ,
I APD E r + E s 2 = E r 2 + E s 2 + 2 E s E r cos ϕ
x 1 = ( x X 1 ) cos ( ϑ ) + ( y Y 1 ) sin ( ϑ )
y 1 = ( x X 1 ) sin ( ϑ ) + ( y Y 1 ) cos ( ϑ )
f LPGM ( x 1 , y 1 ) = 1 + A A ( exp { ( x 1 w x 1 ) 2 ( y 1 w y 1 ) 2 } ) norm
f APDM x 1 y 1 x 1 y 2 x 3 y 3 = 1 + A A { ( G ( x 1 ) + G ( x 2 ) ) x 3 2 exp { ( x 3 w x 3 ) 2 ( y 3 w y 3 ) 2 } } norm
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