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Optics Express

Optics Express

  • Editor: Andrew M. Weiner
  • Vol. 21, Iss. 16 — Aug. 12, 2013
  • pp: 19103–19112
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Layer-by-layer self-assembly of plexcitonic nanoparticles

Brendan G. DeLacy, Wenjun Qiu, Marin Soljačić, Chia Wei Hsu, Owen D. Miller, Steven G. Johnson, and John D. Joannopoulos  »View Author Affiliations


Optics Express, Vol. 21, Issue 16, pp. 19103-19112 (2013)
http://dx.doi.org/10.1364/OE.21.019103


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Abstract

Colloidal suspensions of multilayer nanoparticles composed of a silver core, a polyelectrolyte spacer layer (inner shell), and a J-aggregate cyanine dye outer shell have been prepared for the first time. Absorption properties of the colloid were measured in the visible region. This multilayer architecture served as a framework for examining the coupling of the localized surface plasmon resonance exhibited by the silver core with the molecular exciton exhibited by the J-aggregate outer shell. The polyelectrolyte spacer layer promotes the formation of an excitonic J-aggregate while serving as a means of controlling the plasmon-exciton (i.e. plexciton) coupling strength through changing the distance between the core and the shell. An analytical expression based on Mie Theory and the Transfer Matrix Method was obtained for describing the optical response of these multilayered nanostructures. Computational and experimental results indicate that the absorption wavelength of the J-aggregate form of the dye is dependent on both the distance of the dye layer from the silver core and the degree of dye aggregation.

© 2013 OSA

1. Introduction

Silver and gold nanoparticles have been studied extensively for their unique optical properties in the UV, visible, and infrared regions of the electromagnetic spectrum [1

1. M. Kerker, The Scattering of Light and Other Electromagnetic Radiation (Academic Press, 1969).

4

4. H. Wang, D. W. Brandl, P. Nordlander, and N. J. Halas, “Plasmonic nanostructures: artificial molecules,” Acc. Chem. Res. 40(1), 53–62 (2007). [CrossRef] [PubMed]

]. These properties arise from the collective oscillation of conduction band electrons throughout the particle in response to optical excitation, a process commonly termed as localized surface plasmon resonance. Resonance occurs when the frequency of incident radiation is at or near the frequency of the electronic oscillation. This resonance results in a strong enhancement of the local electric field, useful for surface-enhanced Raman scattering (SERS), surface-enhanced fluorescence, and the study of nonlinear optical response [5

5. K. Kneipp, H. Kneipp, I. Itzkan, R. R. Dasari, and M. S. Feld, “Ultrasensitive chemical analysis by Raman spectroscopy,” Chem. Rev. 99(10), 2957–2976 (1999). [CrossRef] [PubMed]

7

7. P. J. Chakraborty, “Metal nanoclusters in glasses as nonlinear photonic materials,” J. Mater. Sci. 33(9), 2235–2249 (1998). [CrossRef]

]. Additionally, the size and morphology of the silver and gold nanoparticles have a significant impact on surface plasmon resonance frequency and therefore have a great significance in such fields as sensors and photonic devices.

Cyanine dyes are commonly used in spectral sensitization, and have potential application in novel optoelectronic materials [8

8. T. Tani, Photographic Sensitivity, (Oxford University, 1995).

]. Structurally, these dyes consist of two heterocyclic units that are connected by an odd number of methine groups (CH)n (n = 1,3,5, etc.). The color of the dye is mainly determined by the length of the polymethine chain [9

9. F. Würthner, T. E. Kaiser, and C. R. Saha-Möller, “J-Aggregates: from serendipitous discovery to supramolecular engineering of functional dye materials,” Angew. Chem. Int. Ed. Engl. 50(15), 3376–3410 (2011). [CrossRef] [PubMed]

]. A particularly intriguing property of cyanine dyes is their tendency to aggregate under certain conditions in solution. These so called J-aggregates exhibit a narrow absorption band that is red shifted with respect to the monomer absorption band [9

9. F. Würthner, T. E. Kaiser, and C. R. Saha-Möller, “J-Aggregates: from serendipitous discovery to supramolecular engineering of functional dye materials,” Angew. Chem. Int. Ed. Engl. 50(15), 3376–3410 (2011). [CrossRef] [PubMed]

]. The shift in absorption of the aggregate has been described by a Frenkel exciton model, in which excited states are formed by the coherent coupling of molecular transition dipoles [10

10. A. S. Davydov, Theory of Molecular Excitons (Plenum, 1971).

,11

11. M. van Burgel, D. A. Wiersma, and K. Duppen, “The dynamics of one-dimensional excitons in liquids,” J. Chem. Phys. 102(1), 20–33 (1995). [CrossRef]

].

The metallic core composition and size, excitonic shell composition, degree of J-aggregate formation within the excitonic shell, and distance between the plasmonic core and excitonic shell are among the factors that play the most significant roles in controlling optical response. Metallic core particles and excitonic dyes of varying composition are readily available and selection is based on the intrinsic optical properties of the material. In terms of particle shape, a range of metallic core shapes such as spheres, rods, and platelets may be fabricated using well documented solution-based techniques [17

17. P. C. Lee and D. Meisel, “Adsorption and surface-enhanced Raman dyes on silver and gold sols,” J. Phys. Chem. 86(17), 3391–3395 (1982). [CrossRef]

20

20. N. R. Jana, L. Gearheart, and C. J. Murphy, “Wet chemical synthesis of silver nanorods and nanowires of controllable aspect ratio,” Chem. Commun. (Camb.) 0(7), 617–618 (2001). [CrossRef]

]. However, spacer layer thickness and its impact on plasmon-exciton coupling in these nanoparticle systems have not been studied systematically. The spacer layer must serve the two-fold purpose of promoting the formation of a J-aggregate shell while also creating a distance, with specified length, between the metallic core and excitonic shell. To that end, we report the use of a variably thick polyelectrolyte spacer layer as a means of building multilayered plexcitonic nanoparticles and controlling plasmon-exciton distance. Specifically, we report the use of alternating cationic poly(diallyldimethyl ammonium chloride) (PDADMAC) and anionic poly(styrene sulfonate) (PSS) as a spacer layer between a silver core and a J-aggregate outer shell. The layer-by-layer self-assembly of oppositely charged polyelectrolytes has been used extensively as a means of coating and functionalizing colloidal particles [21

21. G. B. Sukhorukov, E. Donath, H. Lichtenfel, E. Knippel, M. Knippel, A. Budde, and H. Möhwald, “Layer-by-layer self assembly of polyelectrolytes on colloidal particles,” Coll. and Surf. A: Phys. and Eng. Aspects 137(1-3), 253–266 (1998). [CrossRef]

,22

22. G. B. Sukhorukov, E. Donath, S. Davis, H. Lichtenfeld, F. Caruso, V. I. Popov, and H. Möhwald, “Stepwise polyelectrolyte assembly on particle surfaces: a novel approach to colloid design,” Polym. Adv. Technol. 9(10-11), 759–767 (1998). [CrossRef]

]. The thickness of the polyelectrolyte spacer layer was controlled in this study by varying the number of PDADMAC/PSS layers that were adsorbed. The outer J-aggregate shell was formed by adsorbing the cationic form of PIC onto the outermost anionic PSS layer. A schematic of the double-shell structure is provided in Fig. 1(a)
Fig. 1 Schematic of (A) a double-shell structure composed of a silver metallic core, a spacer layer consisting of alternating layers PDADMAC/PSS polyelectrolytes, and a 1,1’-diethyl-2,2’-cyanine iodide (PIC) exterior shell. The outer radius and dielectric function of individual layers are (Ri, εi, i = 1,2,…, n). The dielectric function of the medium is εm. (B) The electrostatic adsorption of (PIC) J-aggregates onto a silver core/polyelectrolyte spacer. Na+, Cl-, and I- ions are not drawn for clarity. Figures are not drawn to scale.
. Figure 1(b) provides a schematic of the electrostatic adsorption of 1,1’-diethyl-2,2-cyanine (PIC) J-aggregates at the surface of a PDADMAC/PSS coated silver nanoparticle. The use of a polyelectrolyte spacer layer may be incorporated into a wide range of core-shell systems, regardless of geometry and composition. Therefore, this approach may be used as a means of studying plasmon-exciton coupling in a wide range of multilayered plexcitonic structures.

In order to explain the measured absorption features of the Ag/polyelectrolyte/PIC composite nanoparticles, Mie Theory and the Transfer Matrix Method were used to calculate the optical response of these multilayered nanospheres. Numerical simulations yielded good agreement with experimental results. Specifically, the impact of polyelectrolyte spacer layer thickness on the shift of the exciton frequency was elucidated. These results indicate that a polyelectrolyte spacer layer is a plausible means for tuning plasmon-exciton coupling in colloidal suspensions of multilayered plexcitonic nanoparticles.

2. Experimental methods

Silver nitrate, trisodium citrate tribasic dihydrate, sodium poly(styrene sulfonate) (PSS, MW ~70,000), poly(diallyldimethyl ammonium chloride) (PDADMAC, medium molecular weight 26062-79-3), sodium phosphate monobasic dihydrate, sodium phosphate dibasic dihydrate, and 1,1’-diethyl-2,2’-cyanine iodide were purchased from Sigma Aldrich (St. Louis, MO).

Silver nanoparticles were prepared using a modified procedure by Lee and Meisel in which Ag+ ions are chemically reduced in aqueous solution [17

17. P. C. Lee and D. Meisel, “Adsorption and surface-enhanced Raman dyes on silver and gold sols,” J. Phys. Chem. 86(17), 3391–3395 (1982). [CrossRef]

]. Approximately 110 mg of AgNO3 were dissolved in 400 mL deionized H2O (18MΩ) and placed in a 1L 3-neck flask. A condenser tube (250 mm jacket length) was placed on the center neck of the flask to minimize evaporation losses. An addition funnel, containing 10 mL of 1% (wt/wt) trisodium citrate solution, was attached to a second neck of the flask. The solution was magnetically stirred and heated to 100°C using a heating jacket and temperature controller (Glass-Col, Terre Haute, IN) while refluxing. Once the boiling point was reached, the trisodium citrate solution was slowly added drop-wise. The mixture was heated and stirred for an additional hour at 100°C. The solution was then cooled to room temperature and stirring continued for an additional hour. Assuming a 100% yield, the silver colloid had an approximate concentration of 0.3 mg/mL.

A standard solution of 1,1-diethyl-2,2’cyanine iodide (PIC) was prepared by dissolving 25 mg PIC in 100 mL phosphate buffer (pH = 6.0).

Silver core – polyelectrolyte shell nanoparticles were prepared by exposing the silver sol to supersaturated concentrations of polyelectrolytes. First, 10 mL Ag sol were transferred to a 50 mL polypropylene centrifuge tube. The sample was centrifuged at 4000 RPM for 15 minutes and the supernatant containing excess citrate was removed. 5 mL H2O were then added to the tube followed by sonication. Next, 5 mL PDADMAC (1 mg/mL, 0.01 M NaCl) were added, and the suspension was vigorously mixed for 1 minute. The solution was allowed to stand for 30 minutes. Centrifugation (4000 RPM, 15 minutes) was used to remove the supernatant and excess polymer. Two cycles of a 10 mL water addition, followed by sonication, centrifugation, and supernatant removal were performed to ensure the removal of excess polymer. The same solution concentration and procedures used for the adsorption of PDADMAC were used for adsorption of additional polyelectrolyte layers (i.e. PSS, 1 mg/mL, 0.01 M NaCl). Combinations of 2, 4, and 6 polyelectrolyte layers, i.e. (PDADMAC/PSS)1,2,3, were adsorbed onto the silver particles. The Ag core – polyelectrolyte shell nanoparticles were resuspended in 5 mL water with sonication.

For the in situ generation of a J-aggregate shell on the silver core – polyelectrolyte shell nanoparticles, the concentration of the Ag core - polyelectrolyte shell nanoparticle suspension was adjusted until absorbance measurements yielded an approximate absorbance of 0.5 to 1.5 absorbance units. This involved diluting 1 mL of the suspension to 25 mL with water. 3 mL of the diluted suspension were then placed in a 10 mm optical path quartz cuvette. 100 µL aliquots of PIC standard (0.25 mg/mL) were added to the cuvette, followed by mixing and immediate absorbance measurement.

Ag/polyelectrolyte/PIC composite nanoparticles were also prepared by exposing Ag core - polyelectrolyte shell nanoparticles to PIC for 24 hours. This involved placing 5 mL Ag core - polyelectrolyte shell nanoparticles in a 50 mL polypropylene centrifuge tube, follow by the addition of 5 mL of PIC standard. The samples sat for 24 hours to ensure adequate adsorption and aggregation of the dye onto the surface of the particles. The following day, the colloidal suspensions were centrifuged at 4000 RPM for 15 minutes, and the supernatant discarded for removal of excess PIC standard. The solid nanoparticles were washed with 10 mL water followed by sonication, centrifugation, and supernatant removal to ensure the removal of excess PIC. The particles were then resuspended in 5 mL water and sonicated. Finally, excessively large NPs were removed using a 0.22 µm Millex GP syringe filter. This procedure was repeated for each of the Ag/polyelectrolyte/PIC NP combinations.

All UV/Vis absorption spectra were measured in a quartz cuvette (10 mm optical path length) using a V-670 spectrophotometer (JASCO Co.). Spectra were measured from 190 nm to 800 nm. Transmission electron microscopy (TEM) images were observed in a FEI (Hillsboro, OR) Tecnai 12 TWIN TEM operating at 100kV. Samples were prepared by placing 5.0 µL of the particle solution onto a freshly ionized 300 copper mesh carbon coated/formvar grid. The samples were allowed to dry completely. Images were collected using an Olympus Soft Imaging System (Lakeland, CO) Megaview III digital camera. Figures were assembled in Adobe Photoshop using only linear adjustments in brightness and contrast. For the determination of zeta-potential, a Zetasizer Nano ZS (Malvern Instruments) was used to measure the electrophoretic mobilities of colloidal particles. The mobility µ was converted into a ζ-potential using the Smoluchowski relation (ζ = µη/ε, where η is the viscosity of the solvent and ε is the permittivity of the solvent). The hydrodynamic radius was also determined using the Zetasizer Nano ZS instrument. This measurement is a dynamic light scattering technique.

3. Theoretical methods

In order to calculate the optical response of the Ag/polyelectrolyte/PIC nanocomposites, we generalize Mie theory to multilayer nanospheres via the Transfer Matrix Method [23

23. W. Qiu, B. G. DeLacy, S. G. Johnson, J. D. Joannopoulos, and M. Soljačić, “Optimization of broadband optical response of multilayer nanospheres,” Opt. Express 20(16), 18494–18504 (2012). [CrossRef] [PubMed]

25

25. C. Bohren and D. Huffman, Absorption and Scattering of Light by Small Particles, (John Wiley & Sons,1983).

]. For multilayer nanospheres, the electric field can be decomposed into orthogonal channels labeled by (σ,l), where σ takes TE or TM, and l = 1, 2, 3,… [26

26. R. E. Hamam, A. Karalis, J. D. Joannopoulos, and M. Soljačić, “Coupled-mode theory for general free-space resonant scattering of waves,” Phys. Rev. A 75(5), 053801 (2007). [CrossRef]

29

29. Z. Ruan and S. Fan, “Design of subwavelength superscattering nanospheres,” Appl. Phys. Lett. 98(4), 043101 (2011). [CrossRef]

]. The scattering and absorption cross-sections are the sum of contributions from each channel, and the extinction cross-section is the sum of scattering and absorption cross-sections:

σsca=σl=1λ28π(2l+1)|1rσ,l|2
(1)
σsca=σl=1λ28π(2l+1)|1rσ,l|2σext=σsca+σabs
(2)

In order to determine rσ,l, we decompose the electric field inside each shell into incoming and outgoing spherical waves with coefficients (An, Bn). The coefficients of adjacent shells are connected by the transfer matrix of that interface, whose elements are determined by the boundary condition of TE or TM modes:
[Ai+1Bi+1]=Mi+1,i[AiBi]
(3)
The transfer matrix of the whole system can be calculated by combining the transfer matrices of individual interfaces:
[An+1Bn+1]=Mn+1,Mn,n1...M3,2,M2,1[A1B1]=M[A1B1]
(4)
Since the second kind of spherical Bessel function is singular at the origin, we can set A1 = B1 = 1. Therefore,
r1=Bn+1An+1=M21+M22M11+M12
(5)
Incorporation of the appropriate dielectric constant for the aggregated form of PIC is required for the total cross-section calculations. We use a model that describes the red shifted energy of aggregate forms of cyanine dyes, in which [30

30. T. Kobayashi, J-Aggregates, (World Scientific Publishing Co. Pte. Ltd., 1996).

]:
ε=ε02Vcos(πNc+1)
(6)
Here V is the nearest neighbor coupling energy, Nc is the number of coherently coupled molecules that make up the aggregate, and ε0 is the frequency dependent dielectric constant of the monomer. Using this model for PIC, a red-shifted J-aggregate absorption peak at 575 nm is expected for aggregates composed of 14 or more dye molecules. This prediction is consistent with numerous experimental observations in which aggregated forms of PIC, both in solution and adsorbed onto surfaces, exhibit absorption at 575 nm [16

16. A. Yoshida, Y. Yonezawa, and N. Kometani, “Tuning of the spectroscopic properties of composite nanoparticles by the insertion of a spacer layer: effect of exciton-plasmon coupling,” Langmuir 25(12), 6683–6689 (2009). [CrossRef] [PubMed]

,31

31. A. Dixon, C. Duncan, and H. Samha, “Self assembly of cyanine dye on clay nanoparticles,” Am. J. Undergrad. Res. 3, 29–34 (2005).

]. Hence, 575 nm was taken as the excitation wavelength of the J-aggregate for the complex frequency-dependent dielectric function of the PIC J-aggregate, which was approximated using:
ε(ω)=ε0+fω02ω02ω2iω0γω
(7)
Here, ε0 = εmedium = 1.85, ω0 corresponds to the excitation frequency of the J-aggregate (corresponding to 575 nm), γ is the relaxation rate, and f represents the oscillator strength. Literature values for γ range from 0.01 to 0.02, and for f range from 0.01 to 1 [32

32. H. Kuhn and H. D. Foresterling, Principles of Physical Chemistry (Wiley, 2000).

].

4. Results and discussion

The citrate reduction method used in this study yielded silver core nanoparticles with an average particle size of 54.5 nm and a standard deviation of 9.8 nm. Figure 2(a)
Fig. 2 (A) TEM image of silver nanoparticles fabricated using the citrate reduction method. (B) Experimental absorbance spectra of solutions containing 0.022 mg/mL silver sol (blue curve) and 0.023 mg/mL PIC (red curve). λmax = 442 nm for the silver sol. λmax = 523 nm for the PIC solution. (C) Zeta-potential as a function of layer number for silver particles coated with alternating layers of PDADMAC and PSS. Polyelectrolyte deposition of PDADMAC and PSS was performed in 0.01M NaCl.
displays a TEM image of the silver nanoparticles. Most of the particles have a spherical shape with a relatively narrow size distribution, although a small amount of non-spherical particles are observed. Figure 2(b) displays the absorbance spectra of the silver colloid (blue curve) and the PIC standard (red curve). The silver colloid and PIC standard solutions are characterized by an absorption λmax at 442 nm and 523 nm, respectively. Of particular note is the absence of the PIC J-aggregate peak, which is commonly observed at or near 575 nm. This observation is consistent with published data, as the concentration of the PIC standard in this solution is too low for the formation of the J-aggregate [16

16. A. Yoshida, Y. Yonezawa, and N. Kometani, “Tuning of the spectroscopic properties of composite nanoparticles by the insertion of a spacer layer: effect of exciton-plasmon coupling,” Langmuir 25(12), 6683–6689 (2009). [CrossRef] [PubMed]

,31

31. A. Dixon, C. Duncan, and H. Samha, “Self assembly of cyanine dye on clay nanoparticles,” Am. J. Undergrad. Res. 3, 29–34 (2005).

].

Insertion of a polyelectrolyte layer between the Ag core and the cyanine dye outer shell was a central theme in this study. Specifically, our goal was to demonstrate the formation of the PIC J-aggregate on a silver core – polyelectrolyte shell composite nanoparticle. The layer-by-layer self assembly of polyelectrolytes on colloidal particles is an established technique for building stable and functionalized multilayers on nanoparticles. The irreversible electrostatic interaction between cationic and anionic polyelectrolyte layers aid in stabilizing these films. In our study, the sequential addition of PDADMAC and PSS, with PSS forming the outermost polyelectrolyte layer, was used to control the thickness of the polyelectrolyte layer and to render the outer surface of the particles with a negative charge. The negative surface charge promotes the adsorption and J-aggregation of the cationic PIC dye onto the surface of the particles. Figure 2(c) provides a summary of the ζ-potential measurements of Ag particles coated with sequential layers of PDADMAC and PSS. The ζ-potential alternates between positive and negative values for the sequential additions of PDADMAC and PSS, respectively.

The J-aggregate peaks were observed at wavelengths that were comparatively longer than what is commonly reported in the literature for PIC, i.e. 575 nm. Additionally, the J-aggregate peak wavelength was found to increase with decreasing spacer thickness. These results suggest that the PIC was fully, or close to fully aggregated, and that the plasmon-exciton interaction further red shifted the J-aggregate peak. This observation is consistent with the fact that plasmon-exciton interactions are enhanced as the distance between the J-aggregate shell and the Ag core particles is diminished.

Simulated absorbance spectra of Ag/(PDADMAC/PSS)/PIC nanoparticle composites were calculated in Fig. 4(c) in order to explain the main absorption features of the experimental data. For the dielectric constants, we used experimental frequency-dependent complex dielectric constant for the silver [33

33. E. D. Palik, Handbook of Optical Constants of Solids (Academic, 1985).

], literature values of 2.25 for PDADMAC and 2.56 for PSS [34

34. Y. Zong, F. Xu, X. Su, and W. Knoll, “Quartz crystal microbalance with integrated surface plasmon grating coupler,” Anal. Chem. 80(13), 5246–5250 (2008). [CrossRef] [PubMed]

], and Eq. (8) (with f = 0.35 and γ = 0.015) for the PIC J-aggregate. We assume a silver core of 54.5 nm (with SD = 9.8 nm), a J-aggregate dye outer shell of 5 nm, and a polyelectrolyte spacer of thickness 1 nm per bi-layer. This calculation is consistent for similar structures, in which the thickness of the polyelectrolyte bi-layers was determined to be 1.7 to 3.0 nm [21

21. G. B. Sukhorukov, E. Donath, H. Lichtenfel, E. Knippel, M. Knippel, A. Budde, and H. Möhwald, “Layer-by-layer self assembly of polyelectrolytes on colloidal particles,” Coll. and Surf. A: Phys. and Eng. Aspects 137(1-3), 253–266 (1998). [CrossRef]

,34

34. Y. Zong, F. Xu, X. Su, and W. Knoll, “Quartz crystal microbalance with integrated surface plasmon grating coupler,” Anal. Chem. 80(13), 5246–5250 (2008). [CrossRef] [PubMed]

]. The simulation result in Fig. 4(c) was in qualitative agreement with the experimental absorbance spectra in Fig. 4 (b). Namely, the experimental and simulation results demonstrate the dependence of coupling strength and shift of the exciton frequency on spacer layer thickness. The red-shifted energy of the J-aggregate peak increases as the spacer layer thickness is minimized, i.e. the plasmon-exciton interaction is maximized. Discrepancies between the experimental and simulated results, in terms of J-aggregate peak shape, may be attributed to the fact that non-spherical and/or aggregated particles were not included in the simulated results.

5. Conclusion

Acknowledgments

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G. B. Sukhorukov, E. Donath, H. Lichtenfel, E. Knippel, M. Knippel, A. Budde, and H. Möhwald, “Layer-by-layer self assembly of polyelectrolytes on colloidal particles,” Coll. and Surf. A: Phys. and Eng. Aspects 137(1-3), 253–266 (1998). [CrossRef]

22.

G. B. Sukhorukov, E. Donath, S. Davis, H. Lichtenfeld, F. Caruso, V. I. Popov, and H. Möhwald, “Stepwise polyelectrolyte assembly on particle surfaces: a novel approach to colloid design,” Polym. Adv. Technol. 9(10-11), 759–767 (1998). [CrossRef]

23.

W. Qiu, B. G. DeLacy, S. G. Johnson, J. D. Joannopoulos, and M. Soljačić, “Optimization of broadband optical response of multilayer nanospheres,” Opt. Express 20(16), 18494–18504 (2012). [CrossRef] [PubMed]

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31.

A. Dixon, C. Duncan, and H. Samha, “Self assembly of cyanine dye on clay nanoparticles,” Am. J. Undergrad. Res. 3, 29–34 (2005).

32.

H. Kuhn and H. D. Foresterling, Principles of Physical Chemistry (Wiley, 2000).

33.

E. D. Palik, Handbook of Optical Constants of Solids (Academic, 1985).

34.

Y. Zong, F. Xu, X. Su, and W. Knoll, “Quartz crystal microbalance with integrated surface plasmon grating coupler,” Anal. Chem. 80(13), 5246–5250 (2008). [CrossRef] [PubMed]

OCIS Codes
(290.2200) Scattering : Extinction
(160.4236) Materials : Nanomaterials
(290.5825) Scattering : Scattering theory

ToC Category:
Scattering

History
Original Manuscript: March 27, 2013
Manuscript Accepted: June 18, 2013
Published: August 5, 2013

Virtual Issues
Vol. 8, Iss. 9 Virtual Journal for Biomedical Optics

Citation
Brendan G. DeLacy, Wenjun Qiu, Marin Soljačić, Chia Wei Hsu, Owen D. Miller, Steven G. Johnson, and John D. Joannopoulos, "Layer-by-layer self-assembly of plexcitonic nanoparticles," Opt. Express 21, 19103-19112 (2013)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-21-16-19103


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