Thank you for visiting nature.com. You are using a browser version with limited support for CSS. To obtain the best experience, we recommend you use a more up to date browser (or turn off compatibility mode in Internet Explorer). In the meantime, to ensure continued support, we are displaying the site without styles and JavaScript.

# Au@Ag Core–Shell Nanorods Support Plasmonic Fano Resonances

## Abstract

In this work, we investigated experimentally and theoretically the plasmonic Fano resonances (FRs) exhibited by core–shell nanorods composed of a gold core and a silver shell (Au@Ag NRs). The colloidal synthesis of these Au@Ag NRs produces nanostructures with rich plasmonic features, of which two different FRs are particularly interesting. The FR with spectral location at higher energies (3.7 eV) originates from the interaction between a plasmonic mode of the nanoparticle and the interband transitions of Au. In contrast, the tunable FR at lower energies (2.92–2.75 eV) is ascribed to the interaction between the dominant transversal LSPR mode of the Ag shell and the transversal plasmon mode of the Au@Ag nanostructure. The unique symmetrical morphology and FRs of these Au@Ag NRs make them promising candidates for plasmonic sensors and metamaterials components.

## Introduction

Localized surface plasmon resonances (LSPRs) of metal nanoparticles, defined as collective oscillations of free electrons, have been extensively studied in recent years due to their versatility for a variety of applications, such as sensing, energy harvesting, and catalysis1,2,3,4,5. In particular, all-plasmonic Fano resonances (FRs) have attracted great interest during the past decade6,7,8. FRs are a type of resonant scattering phenomenon that gives rise to an asymmetric line-shape9,10. They have considerable potential for applications like waveguiding11,12, subwavelength optical imaging13,14, low-loss metamaterials preparation12,15, chemical and biological sensing12,16,17, and energy harvesting18,19, to name a few.

FRs are produced by the coupling of a discrete state with a continuum – e.g., between a narrow and a wide plasmon mode – and several plasmonic nanostructures have been proposed to display them20. Structural symmetry-breaking is the most common approach because it induces a non-uniform electromagnetic environment around the nanostructure, leading to the effective coupling between broad and narrow multipolar plasmon resonances. Examples of this approach are non-concentric multilayered nanoshells21,22,23, heterodimer nanostructures6,24,25, ring-disk nanocavities26,27,28, full nanocavities29, nanoparticle clusters7,30,31,32, and nanocrystals supported on substrates16,33. The main disadvantage of this strategy is that the complex and/or asymmetric nanostructures are fabricated using intricate and expensive techniques27, and/or only work under specific conditions34, which largely reduce their applicability.

In contrast, the generation of plasmonic FRs in highly symmetric metal nanoparticles is much more challenging; indeed, only a few examples of them exist, such as bimetallic nanoparticles25,35,36, metallic nanoshells8,21, and in some metal@dielectric37,38,39 an all-dielectric40 core–shell nanostructures. However, these systems are easier to fabricate and are thus more attractive from the application point of view. In this work, we report the observation of two different FRs on core–shell nanorods (NRs) composed of a Au core and a Ag shell (Au@Ag NRs). In this system, the spectrally localized LSPR modes of the Ag shell (the discrete levels) couple to the Au interband transitions (the continuum), showing remarkable tunability of the FRs. Although these Au@Ag NRs had been previously synthesized by a colloidal seed-mediated method41,42, their plasmonic modes had not been identified so far as FRs.

## Results and Discussion

In order to investigate the role of Ag overgrowth over Au NRs on the emergence of FRs, Au@Ag NRs with different amounts of Ag were synthesized (see Methods section), as shown in Fig. 1. The cuboid morphology displayed by the Au@Ag NRs had already been previously observed due to stabilization of the {100} facets of Ag ffc nanocrystals41. The dimensions and composition of the different nanostructures are collected in Table 1.

The optical response of these nanostructures is depicted in Fig. 2. Au NRs exhibit the typical LSPRs, with one peak located at 1000 nm and the other one at 510 nm, corresponding to the longitudinal and transversal plasmon modes, respectively. On the other hand, Au@Ag NRs present richer plasmonic features. For instance, the presence of the longitudinal plasmon mode can still be observed, but it blue-shifts with the increasing Ag content (i.e., with the decreasing aspect ratio, see Table 1). More interestingly, two clear FRs arise, with approximate spectral locations at 3.7 eV (335 nm) and 2.92 (425 nm)–2.75 eV (450 nm); hereafter, we will refer to them as FR1 and FR2, respectively. The typical charge distribution is very different for both FRs, as can be seen in Fig. 2b,c.

To better understand the origin of the FRs, we have to discuss first the LSPR modes of the cubic morphology. A cube sustains an infinite number of plasmon modes16, but six of them account for 96% of the total oscillator strength43. Indeed, the FRs observed in the Au@Ag NRs can be ascribed to the two LSPR modes with the lowest energy, which represent almost 70% of the total oscillator strength43, as the other modes fall in the region of interband transitions of Ag. The charge distribution for these two main modes is represented schematically in Fig. 2d,e. In both modes, charges are concentrated on the corners of the cube43,44, with charges of the same sign located on opposite sides. However, mode II presents also charges of opposite sign located on the edges of the cube16. Both modes have a large electric dipole moment and couple strongly to light, with oscillator strengths of 0.44 and 0.24 for plasmon modes I and II, respectively43. However, the dominant mode (I) exhibits remarkable tunability compared to the other mode16. This is particularly true when the cube is elongated in one direction45; the main plasmon splits into a longitudinal and a transversal mode (Fig. 2f,g), with the former red-shifting as a function of the aspect ratio while the displacement for the latter is practically null.

Figure 3 shows the FDTD simulations performed to help us understand the origin of the FRs. No FR is observed when the light is polarized along the longitudinal axis of the nanoparticles (Fig. 3a,b) whereas both FRs appear with transversal polarization (Fig. 3b). FR1 only appears in the Au@Ag NRs (Fig. 3c,d), which suggests that it is caused by the interaction between a plasmonic mode of the nanoparticle and the interband transitions of Au. In fact, this FR is very similar to that observed previously for a spherical core–shell plasmonic nanostructure, ascribed to coupling of the Ag shell anti-bonding mode, which corresponds to the negative parity of the dipoles; i.e., the antisymmetric field (see Fig. 2b)25.

On the other hand, FR2 is present for both the Au@Ag NRs and the Ag shell. Hence, it can be ascribed to the interaction between the dominant transversal LSPR mode of the Ag shell and the transversal plasmon mode of the whole nanostructure. This latter transversal mode can be clearly seen in Fig. 3c,d for a nanostructure with identical aspect ratio but with the dimensions reduced to 1/3 those of the original particle. The scattering is negligible for this small particle and, hence, the transversal plasmon mode is observed without the FR.

In order to obtain additional insights into the characteristics of FR2, we fitted it with the expressions developed by Gallinet and Martin for FRs on a continuum-like wide LSPR mode having a Lorenzian shape20,46:

$${Q}_{{\rm{sca}}}(E)=\frac{{a}^{2}}{\left(\frac{{E}^{2}-{E}_{{\rm{s}}}^{2}}{2{E}_{{\rm{s}}}{\Gamma }_{{\rm{s}}}}\right)+1}\times \frac{{\left(\frac{{E}^{2}-{E}_{{\rm{a}}}^{2}}{2{E}_{{\rm{a}}}{\Gamma }_{{\rm{a}}}}+q\right)}^{2}+b}{{\left(\frac{{E}^{2}-{E}_{{\rm{a}}}^{2}}{2{E}_{{\rm{a}}}{\Gamma }_{{\rm{a}}}}\right)}^{2}+1}$$
(1)

The two terms of Eq. (1) represent, respectively, the symmetric pseudo-Lorentzian line shape (subscript ‘s’) and the Fano-like asymmetric line shape (subscript ‘a’). In this equation, a is the maximum amplitude of the Lorentzian resonance, Es is the resonance energy position, and Γs is its approximate spectral width. Likewise, for the asymmetric FR, Ea is the position of the resonance center, Γa gives an approximation of its spectral width, q is the asymmetry parameter, and b is the modulation damping parameter originating from intrinsic losses. To better fit our spectra, we added a sigmoidal term [B1 + A1/(1 + exp(−A2*(EE0)))] to account for the interband absorption of Au8. Here B1, A1, A2, and E0 are the offset, amplitude, slope, and position of the sigmoid, respectively. As can be seen in Fig. 3d, the fit of the Fano profile is excellent. The isolated profile of the FR (i.e., the asymmetric term) is shown in the inset of Fig. 3d. This clearly confirms that the features of the spectrum of Au@Ag NRs are dominated by two FRs, one of them produced by the interaction of a plasmonic mode of the Ag shell with the interband transitions of Au and the other by the interaction between two plasmonic modes of the whole Au@Ag NRs.

Finally, we have studied the behavior of the FRs as a function of the refractive index of the medium, to evaluate their potential use as sensors (Fig. 4). First, as depicted in Fig. 4a, we dispersed Au8@Ag92 NRs in three different media (see Methods section): water (n = 1.33), isopropyl alcohol (n = 1.377) and chloroform (n = 1.466). As can be seen in the inset of this figure, FR2 and the longitudinal plasmon mode exhibit a very similar dependence on n, but is slightly more sensitive for the former. FR1, on the other hand, shows no appreciable variations on position or shape for the different media. Moreover, we performed FDTD simulations of the optical response of the same Au@Ag NR for light polarized transversal to the nanostructure and different refractive indices (between 1 and 2, including the experimental values). From a fit to this data with the model described by Eq. (1), we extracted the position and shape of FR2 (Fig. 4b) and the transversal LSPR mode (not shown). As can be seen in the inset of Fig. 4b, their shift is very similar but, again, it is slightly larger for FR2. Hence, we can conclude that for these nanostructures FR2 is slightly better than the LSPR for sensing applications whereas FR1 is almost independent of the environment.

## Conclusions

In summary, we have shown that a nanostructure composed of a Au NR covered with a silver shell is a very simple symmetrical nanoparticle that exhibits two different FRs. In addition to geometric simplicity, these nanoparticles are easy to synthesize using a standard colloidal method. Therefore, the configuration we are proposing is a very advantageous alternative to previous systems exhibiting FRs, surpassing them in simplicity, tunability, and intensity of the resonances. We have also shown that the tunable FR located at lower energies is strongly dependent on the refractive index of the surrounding medium. This may open the door to a number of applications, such as in sensing, where FRs have often been proposed as a good alternative to LSPRs but which have been seldom realized experimentally due to the complexity of the systems able to generate intense FRs.

## Methods

### Colloidal synthesis

#### Chemicals

All the products were obtained from Sigma Aldrich, namely, cetyltrimethylammonium bromide (CTAB, ≥99%), cetyltrimethylammonium chloride (CTAC, 25% w/w aqueous solution), n-decanol (98%), gold(III) chloride trihydrate (HAuCl4·3H2O, ≥99.9%), nitric acid silver(I) salt (AgNO3, ≥99.0%), L-ascorbic acid (≥99%), and sodium tetrahydridoborate (NaBH4, 99%). Deionized water was used in the syntheses of nanoparticles (resistivity 18.2 MΩ cm at 298 K). The organic solvents with spectrophotometric grade and poly(ethylene glycol) methyl ether thiol (Mw = 6000) were purchased from Sigma-Aldrich.

#### Synthesis of Au NRs

The Au NRs were prepared using a seeded growth method with some modifications47:

##### Synthesis of 1–2 nm au seeds

200 µL of a 0.05 M HAuCl4 solution and 100 µL of a 0.1 M ascorbic acid solution were added under stirring (ca. 500 rpm) to 20 mL of a 50 mM CTAB and 13.5 mM n-decanol solution in a 50 mL glass beaker. The temperature was maintained between 25 and 27 °C. After 1–2 min, 800 µL of a freshly prepared 0.02 M NaBH4 solution was injected into the previous colorless solution under vigorous stirring (1000 rpm using a PTFE plain magnetic stirring bar: 30 × 6 mm), affording a brownish-yellow solution. The seed was aged for 1 h at 25–27 °C prior to use.

##### Synthesis of small anisotropic seeds (21 nm in length and 7.5 nm in width)

In a typical synthesis, 300 mL of a 50 mM CTAB and 11 mM n-decanol solution was placed in a 500 mL Erlenmeyer and 3000 µL of 0.05 M HAuCl4, 2400 µL of 0.01 M AgNO3, 21 mL of 1 M HCl, and 3900 µL of 0.1 M ascorbic acid were sequentially added. The temperature of the solution was maintained at 25 °C. Then, 18 mL of the 1–2 nm seed solution was added under stirring. The mixture was left undisturbed at 25 °C for at least 4 h until the solution changed from colorless to dark brownish gray. The obtained small anisotropic seeds (longitudinal LSPR located at 725–730 nm) were centrifuged at 14000–15000 rpm for 60 min. The precipitate was redispersed with 100 mL of 10 mM CTAB solution and centrifuged under the same conditions. The final Au concentration was fixed to 4.65 mM (Abs400nm: 1, optical path: 0.1 cm).

##### Au NRs with LSPR at 1000 nm

In a typical synthesis, 2500 µL of 0.01 M AgNO3, 1000 µL of 0.05 M HAuCl4, 9000 µL of 1 M HCl, and 800 µL of a 0.1 M ascorbic acid solution were added under stirring to 100 mL of a 50 mM CTAB and 11 mM n-decanol solution at 28 °C. Then, 0.5 mL of the small anisotropic seed suspension was added under stirring. The mixture was left undisturbed for 6 h. The Au NRs were forced to settle as sediment (by centrifugation at 7000 rpm, 30 min) to remove the excess of surfactant and redispersed in 10 mL of a 25 mM CTAC solution (Au NR stock solution). This procedure was repeated twice to remove CTAB traces. Finally, they were redispersed in 2.5 mL of a 25 mM CTAC solution. The resulting Au NRs presented an average length of 102 ± 5 nm and diameter of 18 ± 2 nm.

#### Synthesis of Au@Ag NRs

The nanoparticles were prepared following a seeded growth method with some modifications41. Briefly, 500 µL of 0.01 M AgNO3 and 50 µL of a 0.01 M ascorbic acid solution were added to 10 mL of a 25 mM CTAC solution. The concentration of Au NRs in the growth mixture was varied to obtain different Ag shell thicknesses (Table 2). Then, the mixture was heated up to 65 °C and left undisturbed for 12 h. Finally, the nanoparticles were centrifuged for 30 min at 5000 rpm and redispersed in 10 mL of a 25 mM CTAC solution.

#### Polyethylene glycol functionalization of Au@Ag NRs

An aqueous solution of poly(ethylene glycol) methyl ether thiol (6 kDa) previously sonicated for 5 min was added to Au@Ag NRs (1 nM, 5 mL) stabilized with CTAC (1 mM) under stirring for 3 h. Then, the excess of free ligand was removed from the solution by four centrifugation cycles (6500 rpm, 90 min). In each cycle, the supernatant was removed and the precipitate was redispersed in the same volume of solvent. The order of solvent transfer was water, isopropyl alcohol and chloroform.

#### Transmission electron microscopy (TEM)

Low magnification TEM images were obtained on a JEOL JEM-1400PLUS transmission electron microscope operating at an acceleration voltage of 120 kV. Carbon-coated 400 square mesh copper grids were used. For TEM grid preparation, 1.5 mL of the mixture was centrifuged (in 1.5 mL Eppendorf tubes) and redispersed in 1.5 mL of a 1 mM CTAC solution. Then, the nanoparticles were centrifuged again (same parameters) and redispersed in 20 μL of a 1 mM CTAC solution. Finally, 3 μL of water and 1 μL of the nanoparticle suspension were deposited on a carbon-coated 400 square mesh copper grid (placed on Parafilm) and allowed to dry slowly.

#### UV–vis–NIR Spectroscopy

Extinction spectra were recorded on a UVICONXL spectrophotometer (Bio-Tex Instruments). All experiments were carried out at 298 K using quartz cuvettes with an optical path length of either 2 mm or 1 cm.

### Optical Simulations

Optical response and near-field enhancements were calculated using the method of finite differences in the time domain (FDTD), as implemented in the free software package MEEP48. In this method, Maxwell equations are solved by a second-order approximation. Space is divided into a discrete grid, the Yee grid49, and the fields are evolved in time using discrete time steps. A schematic representation of the geometry used for the calculation is shown in Fig. 5. Simulations were performed for the nanostructures oriented along the three Cartesian axes. In all calculations, we employed a spatial resolution of 0.5 nm. For the refractive index, we applied the bulk values of Ag and Au fixed by Johnson and Christy50, using a Drude term and five Lorentzians51. For the calculations in Fig. 3, the refractive index of the surrounding medium was fixed at 1.33 (water) whereas different values between 1 and 2 where used to study the sensing capabilities of the FRs. In Fig. 5, d1 and d2 are, respectively, the rod diameter and the box side. Likewise, L1 and L2 represent the length of the rod and the box, respectively. The edges of the box were rounded with a radius of 2 nm, to make it more similar to the experimental structures (see Fig. 1).

## Data availability

The data generated and analysed during the current study will be made available from the corresponding author on reasonable request.

## References

1. 1.

Hirsch, L. R., Jackson, J. B., Lee, A., Halas, N. J. & West, J. L. A whole blood immunoassay using gold nanoshells. Anal. Chem. 75, 2377–2381 (2003).

2. 2.

Alivisatos, P. The use of nanocrystals in biological detection. Nat. Biotechnol. 22, 47–52 (2004).

3. 3.

González-Rubio, G. et al. Femtosecond laser reshaping yields gold nanorods with ultranarrow surface plasmon resonances. Science 358, 640–644 (2017).

4. 4.

Gummaluri, V. S., Nair, R. V., Krishnan, S. R. & Vijayan, C. Femtosecond laser-pumped plasmonically enhanced near-infrared random laser based on engineered scatterers. Opt. Lett. 42, 5002–5005 (2017).

5. 5.

Park, J.-E., Jung, Y., Kim, M. & Nam, J.-M. Quantitative nanoplasmonics. ACS Cent. Sci. 4, 1303–1314 (2018).

6. 6.

Bachelier, G. et al. Fano profiles induced by near-field coupling in heterogeneous dimers of gold and silver nanoparticles. Phys. Rev. Lett. 101, 197401 (2008).

7. 7.

Lassiter, J. B. et al. Fano resonances in plasmonic nanoclusters: Geometrical and chemical tunability. Nano Lett. 10, 3184–3189 (2010).

8. 8.

Peña-Rodríguez, O., Rivera, A., Campoy-Quiles, M. & Pal, U. Tunable Fano resonance in symmetric multilayered gold nanoshells. Nanoscale 5, 209–216 (2013).

9. 9.

Fano, U. Effects of configuration interaction on intensities and phase shifts. Phys. Rev. 124, 1866–1878 (1961).

10. 10.

Ott, C. et al. Lorentz meets Fano in spectral line shapes: A universal phase and its laser control. Science 340, 716–720 (2013).

11. 11.

Kang, M., Park, J., Lee, I.-M. & Lee, B. Floating dielectric slab optical interconnection between metal-dielectric interface surface plasmon polariton waveguides. Opt. Express, OE 17, 676–687 (2009).

12. 12.

Luk’yanchuk, B. et al. The Fano resonance in plasmonic nanostructures and metamaterials. Nat. Mater. 9, 707–715 (2010).

13. 13.

Yang, S.-C. et al. Plasmon hybridization in individual gold nanocrystal dimers: Direct observation of bright and dark modes. Nano Lett. 10, 632–637 (2010).

14. 14.

Caselli, N. et al. Ultra-subwavelength phase-sensitive Fano-imaging of localized photonic modes. Light: Science & Applications 4, e326 (2015).

15. 15.

Liu, N. et al. Planar metamaterial analogue of electromagnetically induced transparency for plasmonic sensing. Nano Lett. 10, 1103–1107 (2010).

16. 16.

Zhang, S., Bao, K., Halas, N. J., Xu, H. & Nordlander, P. Substrate-induced Fano resonances of a plasmonic nanocube: A route to increased-sensitivity localized surface plasmon resonance sensors revealed. Nano Lett. 11, 1657–1663 (2011).

17. 17.

Lu, H., Liu, X., Mao, D. & Wang, G. Plasmonic nanosensor based on Fano resonance in waveguide-coupled resonators. Opt. Lett., OL 37, 3780–3782 (2012).

18. 18.

Aubry, A. et al. Plasmonic light-harvesting devices over the whole visible spectrum. Nano Lett. 10, 2574–2579 (2010).

19. 19.

Zarrabi, F. B. & Naser-Moghadasi, M. Plasmonic split ring resonator with energy enhancement for the application of bio-sensing and energy harvesting based on the second harmonic generation and multi Fano resonance. Journal of Alloys and Compounds 706, 568–575 (2017).

20. 20.

Gallinet, B. & Martin, O. J. F. Influence of electromagnetic interactions on the line shape of plasmonic Fano resonances. ACS Nano 5, 8999–9008 (2011).

21. 21.

Mukherjee, S. et al. Fanoshells: Nanoparticles with built-in Fano resonances. Nano Lett. 10, 2694–2701 (2010).

22. 22.

Ho, J., Luk’yanchuk, B. & Zhang, J. Tunable Fano resonances in silver-silica-silver multilayer nanoshells. Appl. Phys. A 107, 133–137 (2012).

23. 23.

Wu, D., Jiang, S. & Liu, X. A tunable Fano resonance in silver nanoshell with a spherically anisotropic core. J. Chem. Phys. 136, 034502 (2012).

24. 24.

Yang, Z.-J., Zhang, Z.-S., Zhang, W., Hao, Z.-H. & Wang, Q.-Q. Twinned Fano interferences induced by hybridized plasmons in Au-Ag nanorod heterodimers. Appl. Phys. Lett. 96, 131113 (2010).

25. 25.

Peña-Rodríguez, O. et al. Enhanced Fano resonance in asymmetrical Au:Ag heterodimers. J. Phys. Chem. C 115, 6410–6414 (2011).

26. 26.

Hao, F. et al. Symmetry breaking in plasmonic nanocavities: Subradiant LSPR sensing and a tunable Fano resonance. Nano Lett. 8, 3983–3988 (2008).

27. 27.

Sonnefraud, Y. et al. Experimental realization of subradiant, superradiant, and Fano resonances in ring/disk plasmonic nanocavities. ACS Nano 4, 1664–1670 (2010).

28. 28.

Cui, J., Ji, B., Song, X. & Lin, J. Efficient modulation of multipolar Fano resonances in asymmetric ring-disk/split-ring-disk nanostructure. Plasmonics 14, 41–52 (2019).

29. 29.

Verellen, N. et al. Fano resonances in individual coherent plasmonic nanocavities. Nano Lett. 9, 1663–1667 (2009).

30. 30.

Fan, J. A. et al. Self-assembled plasmonic nanoparticle clusters. Science 328, 1135–1138 (2010).

31. 31.

Fan, J. A. et al. Fano-like interference in self-assembled plasmonic quadrumer clusters. Nano Lett. 10, 4680–4685 (2010).

32. 32.

Mirin, N. A., Bao, K. & Nordlander, P. Fano resonances in plasmonic nanoparticle aggregates. J. Phys. Chem. A 113, 4028–4034 (2009).

33. 33.

Chen, H. et al. Observation of the Fano resonance in gold nanorods supported on high-dielectric-constant substrates. ACS Nano 5, 6754–6763 (2011).

34. 34.

Pellarin, M. et al. Fano transparency in rounded nanocube dimers induced by gap plasmon coupling. ACS Nano 10, 11266–11279 (2016).

35. 35.

Wu, D., Jiang, S. & Liu, X. Tunable Fano resonances in three-layered bimetallic Au and Ag nanoshell. J. Phys. Chem. C 115, 23797–23801 (2011).

36. 36.

Erwin, W. R. & Bardhan, R. Directional scattering and sensing with bimetallic Fanocubes - A complex Fano resonant plasmonic nanostructure. J. Phys. Chem. C 120, 29423–29431 (2016).

37. 37.

Chen, H. et al. Fano resonance in (gold core)-(dielectric shell) nanostructures without symmetry breaking. Small 8, 1503–1509 (2012).

38. 38.

Sancho-Parramon, J. & Jelovina, D. Boosting Fano resonances in single layered concentric core–shell particles. Nanoscale 6, 13555–13564 (2014).

39. 39.

Arruda, T. J., Martinez, A. S. & Pinheiro, F. A. Tunable multiple Fano resonances in magnetic single-layered core-shell particles. Phys. Rev. A 92, 023835 (2015).

40. 40.

Kong, X. & Xiao, G. Fano resonance in high-permittivity dielectric spheres. J. Opt. Soc. Am. A 33, 707–711 (2016).

41. 41.

Gómez‐Graña, S., Pérez‐Juste, J., Alvarez‐Puebla, R. A., Guerrero‐Martínez, A. & Liz‐Marzán, L. M. Nanorods: Self-assembly of Au@Ag nanorods mediated by gemini surfactants for highly efficient SERS-active supercrystals. Adv. Opt. Mater. 1, 471–471 (2013).

42. 42.

González-Rubio, G. et al. Disentangling the effect of seed size and crystal habit on gold nanoparticle seeded growth. Chem. Commun. 53, 11360–11363 (2017).

43. 43.

Fuchs, R. Theory of the optical properties of ionic crystal cubes. Phys. Rev. B 11, 1732–1740 (1975).

44. 44.

Kim, D.-S. et al. Real-space mapping of the strongly coupled plasmons of nanoparticle dimers. Nano Lett. 9, 3619–3625 (2009).

45. 45.

Gonzalez, A. L., Reyes-Esqueda, J. A. & Noguez, C. Optical properties of elongated noble metal nanoparticles. J. Phys. Chem. C 112, 7356–7362 (2008).

46. 46.

Gallinet, B. & Martin, O. J. F. Ab initio theory of Fano resonances in plasmonic nanostructures and metamaterials. Phys. Rev. B 83, 235427 (2011).

47. 47.

González-Rubio, G. et al. Disconnecting symmetry breaking from seeded growth for the reproducible synthesis of high quality gold nanorods. ACS Nano 13, 4424–4435 (2019).

48. 48.

Oskooi, A. F. et al. Meep: A flexible free-software package for electromagnetic simulations by the FDTD method. Comput. Phys. Commun. 181, 687–702 (2010).

49. 49.

Yee, K. Numerical solution of initial boundary value problems involving Maxwell’s equations in isotropic media. IEEE Trans. Antennas Propag. 14, 302–307 (1966).

50. 50.

Johnson, P. B. & Christy, R. W. Optical constants of the noble metals. Phys. Rev. B 6, 4370–4379 (1972).

51. 51.

Peña-Rodríguez, O. Modelling the dielectric function of Au-Ag alloys. J. Alloys Compd. 694, 857–863 (2017).

## Acknowledgements

This work has been funded by the Spanish Ministry of Science, Innovation and Universities (MICIU) (grants RTI2018-095844-B-I00, PGC2018-096444-B-I00 and MAT2017-86659-R) and the Madrid Regional Government (grants P2018/NMT-4389 and P2018/EMT-4437). This article is based upon work from COST Action TUMIEE (CA17126), supported by COST (European Cooperation in Science and Technology). The authors are grateful for the computer resources and technical assistance provided by the Centro de Supercomputación y Visualización de Madrid (CeSViMa) and the facilities provided by the National Center of Microscopy (Universidad Complutense de Madrid).

## Author information

Authors

### Contributions

G.G.-R., E.J. and A.G.-M. designed and performed the synthesis and characterization of all the nanoparticles. V. M.-G. performed the spectroscopy measurements of the nanoparticles at different refraction indexes. O.P.-R., P.D.-N., A.R. and J.M.P. designed and performed the calculations. O.P.-R., G.G.-R., and A.G.-M. wrote the manuscript.

### Corresponding authors

Correspondence to Ovidio Peña-Rodríguez or Andrés Guerrero-Martínez.

## Ethics declarations

### Competing interests

The authors declare no competing interests.

Publisher’s note Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

## Rights and permissions

Reprints and Permissions

Peña-Rodríguez, O., Díaz-Núñez, P., González-Rubio, G. et al. Au@Ag Core–Shell Nanorods Support Plasmonic Fano Resonances. Sci Rep 10, 5921 (2020). https://doi.org/10.1038/s41598-020-62852-9

• Accepted:

• Published:

• ### Particles and nanovoids for plasmonics

• Benjamin Sierra-Martin
•  & Antonio Fernandez-Barbero

Advances in Colloid and Interface Science (2021)

• ### Sharp Spectral Variations of the Ultrafast Transient Light Extinction by Bimetallic Nanoparticles in the Near‐UV

• , Lorenzo Di Mario
• , Cyrille Hamon
• , Doru Constantin
• , Khanh‐Van Do
• , Patrick O'Keeffe
• , Daniele Catone
•  & Bruno Palpant

• ### Controlled Alloying of Au@Ag Core–Shell Nanorods Induced by Femtosecond Laser Irradiation

• Guillermo González‐Rubio
• , Pablo Díaz‐Núñez
• , Wiebke Albrecht
• , Vanesa Manzaneda‐González
• , Luis Bañares
• , Antonio Rivera
• , Luis M. Liz‐Marzán
• , Ovidio Peña‐Rodríguez
• , Sara Bals
•  & Andrés Guerrero‐Martínez