Martin Mayer1, Leonardo Scarabelli2, Katia March3, Thomas Altantzis4, Moritz Tebbe1, Mathieu Kociak3, Sara Bals4, F Javier García de Abajo5,6, Andreas Fery1, Luis M Liz-Marzán2,7. 1. †Physical Chemistry II, University of Bayreuth, Universitätsstraße 30, 95440 Bayreuth, Germany. 2. ‡CIC biomaGUNE, Paseo de Miramón 182, 20009 Donostia-San Sebastián, Spain. 3. §Laboratoire de Physique des Solides CNRS/UMR8502, University Paris-Sud, Bâtiment 510, Orsay 91405, France. 4. ∥EMAT, University of Antwerp, Groenenborgerlaan 171, 2020 Antwerp, Belgium. 5. ⊥ICFO-Institut de Ciencies Fotoniques, Mediterranean Technology Park, 08860 Castelldefels (Barcelona), Spain. 6. ∇ICREA-Institució Catalana de Recerca i Estudis Avançats, Passeig Lluís Companys, 23, 08010 Barcelona, Spain. 7. ¶Ikerbasque, Basque Foundation for Science, 48013 Bilbao, Spain.
Abstract
Inspired by the concept of living polymerization reaction, we are able to produce silver-gold-silver nanowires with a precise control over their total length and plasmonic properties by establishing a constant silver deposition rate on the tips of penta-twinned gold nanorods used as seed cores. Consequently, the length of the wires increases linearly in time. Starting with ∼210 nm × 32 nm gold cores, we produce nanowire lengths up to several microns in a highly controlled manner, with a small self-limited increase in thickness of ∼4 nm, corresponding to aspect ratios above 100, whereas the low polydispersity of the product allows us to detect up to nine distinguishable plasmonic resonances in a single colloidal solution. We analyze the spatial distribution and the nature of the plasmons by electron energy loss spectroscopy and obtain excellent agreement between measurements and electromagnetic simulations, clearly demonstrating that the presence of the gold core plays a marginal role, except for relatively short wires or high-energy modes.
Inspired by the concept of living polymerization reaction, we are able to produce silver-gold-silver nanowires with a precise control over their total length and plasmonic properties by establishing a constant silver deposition rate on the tips of penta-twinned gold nanorods used as seed cores. Consequently, the length of the wires increases linearly in time. Starting with ∼210 nm × 32 nm gold cores, we produce nanowire lengths up to several microns in a highly controlled manner, with a small self-limited increase in thickness of ∼4 nm, corresponding to aspect ratios above 100, whereas the low polydispersity of the product allows us to detect up to nine distinguishable plasmonic resonances in a single colloidal solution. We analyze the spatial distribution and the nature of the plasmons by electron energy loss spectroscopy and obtain excellent agreement between measurements and electromagnetic simulations, clearly demonstrating that the presence of the gold core plays a marginal role, except for relatively short wires or high-energy modes.
Plasmons,
the collective excitations of conduction electrons supported by metallic
nanostructures, enable the confinement of electromagnetic radiation
on a subwavelength nanometer scale. This phenomenon holds great potential
for a vast range of applications in optics, including metamaterials
design,[1−3] biosensing,[4,5] therapeutics,[6,7] solar energy harvesting,[8] and photocatalysis.[9] Alongside the continued progress in the synthesis
of noble metal nanoparticles with new exotic shapes and increased
monodispersity, the manufacture of bimetallic nanostructures represents
an alternative strategy to enrich the library of plasmonic structures
at our disposal.[10] Epitaxial seeded growth
is one of the most widely used approaches for the preparation of such
structures, where one or more metal precursors are reduced or coreduced
on the surface of a previously prepared core of a different metal.[11] The geometry of the obtained bimetallic system
mainly depends on the lattice matching of the metal species involved,[12,13] on the seed morphology,[14] and on the
growth mode on different crystallographic facets, which can be influenced
by facet-specific capping agents.[15] The
particular case of Au@Ag bimetallic nanoparticles has attracted much
attention from the scientific community because of their complementary
properties: though gold nanoparticles can be easily modulated in shape
and size,[16−19] the lower optical losses of silver render a better plasmonic performance,
for instance, in the amplification of weak optical processes such
as Raman scattering,[20] fluorescence,[21] and IR spectroscopy.[22] Among many other examples, Seo et al. reported the preparation of
silver–gold–silver pentatwinned nanorods through epitaxial
growth of silver on a pentatwinned gold nanorod core in an ethylene
glycol solution of polyvinylpyrrolidone.[23] Recently, Li et al. performed the same reaction in water,[24] which was further studied by Gómez-Graña
et al. to elucidate the growth mechanism behind the formation of the
silver shell using high-resolution electron microscopy in combination
with density functional theory (DFT) calculations.[19] It is important to underline that the production of high
aspect ratio nanowires relies on the selective deposition of Ag on
{111} tip facets, whereas a similar overgrowth reaction with gold
would lead to a decrease in aspect ratio, as previously reported.[25] Such elongated structures can be regarded as
the plasmonic analogues of radiofrequency antennas, but with the resonance
shifted into the visible-near IR (Vis-NIR) range of the electromagnetic
spectrum.[26] Like their radiofrequency counterparts,
optical antennas are characterized by several multipolar plasmon oscillations,
which can be separated into bright and dark modes, depending on their
ability to couple efficiently (bright) or not (dark) to incident/scattered
far-field radiation.[27,28] Although the former can be exploited
in the development of signal processing devices[29] and Raman/IR/fluorescence-based sensors, the latter is
useful for enhanced absorption spectroscopy and photothermia.[30]In order to efficiently engineer the near-field
electromagnetic confinement and implement the application of optical
antennas, it is useful to have a detailed understanding of the relationship
between the antenna structure and the spatial/spectral distributions
of the different plasmon modes.[31,32] In this respect, the
near-field properties of pure gold and silver nanorods have been investigated
by various research groups, both theoretically[28,33] and experimentally, using different imaging techniques that exploit
either resonant optical illumination (e.g., dark-field spectroscopy,[34,35] apertureless scanning near-field optical microscopy[36−38] (aSNOM), and photoemission electron microscopy[39,40]) or fast electrons (cathodoluminescence[41] and electron energy-loss spectroscopy[27,42−44] (EELS)). In contrast, detailed studies of the plasmon near-field
behavior of Au@Ag bimetallic nanostructures have not been reported.
Rodríguez-González et al. studied the effect of a silver
shell on the plasmonic behavior of gold nanodumbbell cores, describing
a complex plasmonic scenario where the transversal mode of the core–shell
system cannot be directly related to an equivalent silver nanorod.[45] To the best of our knowledge, the only available
study of the plasmonic properties of silver–gold–silver
nanorods is the work by Ahn et al. using dark-field spectroscopy,
which indicated no influence of the gold core.[35]The most important prerequisites for a precise engineering
of the plasmonic properties of noble metal nanoparticles are monodispersity
and size tunability. As maintaining a narrow size distribution becomes
more difficult when anisotropy is increased, we developed, as we report
here, the concept of controlled living nanowire growth for the production of monodisperse silver–gold–silver
nanowires (AgAuAg NWs), by analogy with controlled living polymerization
reactions.[46] Controlling the addition of
silver precursors by means of a syringe pump device, we managed to
achieve a linear growth rate of silver on the gold cores. This procedure
allowed us to prevent the nucleation of silver nanoparticles during
nanowire growth, to significantly improve the monodispersity of the
product, and to accurately predict the final dimensions of the bimetallic
system. As a result, AgAuAg NW colloids were obtained which display
up to nine well-defined plasmon resonance peaks spreading over the
entire Vis-NIR wavelength range, with a tight control on the total
NW length up to several microns, corresponding to aspect ratios above
100. Direct electron-microscopy-based visualization of the plasmon
near-field spatial distributions provided essential information toward
eventual optimization and rational application of this bimetallic
system. We thus present here a complete optical-extinction and EELS
analysis of plasmon modes supported by AgAuAg NWs, which are compared
to boundary-element method (BEM) electromagnetic simulations,[47,48] allowing us to assess the influence of the central gold nanorod.
We show that the presence of the gold core influences the high-energy
spectral range, whereas it becomes progressively irrelevant in the
Vis-NIR region, where the spectroscopic behavior resembles that of
a monometallic silver nanowire.To push the quality of Ag NW
synthesis beyond the existing limits, any side reactions and secondary
nucleation should be suppressed completely. Thus, the aims in NW synthesis
are similar to those in polymer synthesis, where a small polydispersity
index is desired. Consequently, we can apply the well-known concept
of controlled living polymerization reactions (CLPR) to the one-dimensional NW growth reaction. The criteria for CLPR
as defined by IUPAC standards involve the complete suppression of
termination and side reactions and a constant number of actively growing
chains throughout the polymerization.[46] Furthermore, the initiation reaction should be much faster than
the propagation reaction. As a consequence, the degree of polymerization—and
thus the resulting chain length—is determined only by the ratio
of monomer to initiator concentrations Pn = [M0]/[I0]. In the following, we introduce the concept of controlled
living nanowire growth, which allows us to synthesize bimetallic
AgAuAg NWs with remarkably narrow size distributions and nanometer
precision in length. As previously described by various groups, epitaxial
silver overgrowth of pentatwinned gold nanorods (PT Au NRs) in the
presence of surfactants with chloride counterions leads to one-dimensional
growth of bimetallic AgAuAg rods/wires.[19,24,35] This can be explained by the adsorption of chloride
onto the lateral {100} facets resulting in less favored silver reduction.
Consequently, silver is only reduced and deposited epitaxially on
the {111} facets at the NR tips, so the PT Au NR seeds can act as
bifunctional initiators bearing two initiation sites. After deposition
of the very first silver monolayer the initiator becomes an active
species that is subsequently overgrown in one-dimensional fashion
by continuous reduction of silver ions at the metal surface during
NW growth. We identify the following requirements to obtain a living
controlled nanocrystal growth mechanism: (i) the initiation of crystal
growth takes place simultaneously and much faster than the continuous
reduction of Ag+ ions at the metal surface of the active
species; (ii) all particles have to persist as active growing species
for selective deposition of Ag atoms throughout the complete experiment;
and (iii) the reduction and deposition of Ag+ must be quantitative,
so that the growth of the particles is proportional to the amount
of added silver precursor and a precise control over the final NW
dimensions can be achieved.The first condition is met by using PT Au NRs with
a narrow size distribution as seeds, uncoupling completely nucleation
and elongation. Furthermore, the ex-situ synthesis of the PT initiator
guarantees a homogeneous and simultaneous initiation at both ends
upon addition of silver precursor. Consequently, the preparation of
high quality PT Au NR seeds is of primary importance toward a precise
growth of monodisperse AgAuAg NWs. PT Au NRs with average length of
210 ± 10 nm and width of 34 ± 1 nm were prepared as previously
described by Pérez-Juste et al., with minor modifications (see
Experimental Section).[49] The purified PT
Au NRs show a shape yield around 99%, (Figure S1A–C, Supporting Information) and can be used as seeds
after redispersion in 10 mM benzyldimethylhexadecylammonium chloride
(BDAC). As evidenced by UV–vis-NIR spectroscopy (Figure S1F, Supporting Information), the characteristic transversal
and longitudinal dipolar, as well as longitudinal quadrupolar plasmon
modes can be identified for the pure PT Au NR dispersion. Further
inspection of the high-energy region reveals the presence of an octupolar
mode as a shoulder below 600 nm (inset Figure S1F, Supporting Information). The narrow dipolar plasmon band,
with a quality factor of 6.45 (Figure S2, Supporting
Information), and the high intensity ratio between the dipolar
and the transversal modes confirm the narrow size distribution of
the PT Au NR seeds.The second requirement can be fulfilled through careful adjustment
of a low silver reduction rate to facilitate anisotropic growth.[10,50] Therefore, the silver overgrowth reaction conditions were set according
to the following three conditions: (1) slow silver reduction at slightly
acidic conditions and elevated temperature;[19] (2) BDAC as surfactant, which drastically reduces the reduction
rate as compared to nonaromatic surfactants;[51] and most importantly, (3) continuous addition of silver nitrate
and ascorbic acid by means of a microfluidic pump setup from separated
reservoirs. The continuous and slow addition prevents the accumulation
of unreacted Ag+ within the growth solution, which might
lead to secondary nucleation and nonspecific silver deposition.UV–vis-NIR extinction spectra after various reaction times
during NW growth were correlated with TEM images. All spectra were
collected after transferring the NWs into heavy water so as to expand
the detection wavelength window up to 2500 nm, avoiding the strong
absorbance of water around 1350 nm (see experimental section). We
observed an initial blue shift of about 20 nm, along with a slight
reduction of the overall aspect ratio when a thin silver layer (approximately
2 nm) grows on all facets (sides and tips). However, after coverage
of the PT Au NR cores with this initial thin layer, silver deposits
on the nanowire tips only. This results in a significant and gradual
redshift of all plasmon modes, whereas multipolar, higher energy plasmon
modes emerge as silver deposition continues. Optical extinction spectra
of the resulting length-controlled AgAuAg NWs are shown in Figure A, top, along with
representative TEM images for selected sizes (Figure D–G), illustrating the striking monodispersity
typically achieved by the growth method described above (see Table
S1 and Figure S3, Supporting Information). In particular, the plasmon spectral features are narrow and mainly
limited by intrinsic absorption and radiative losses, rather than
by particle size dispersion (see below). The corresponding BEM calculated
extinction spectra (Figure A, bottom solid lines, see Methods) show an excellent agreement
with the experimental spectra, as well as a gradually increasing similarity
with spectra calculated for pure Ag NWs with the same overall dimensions
(Figure A, bottom
dashed lines).
Figure 1
(A) Upper panel: Vis-NIR
spectra recorded during silver growth; the PT Au NR core is displayed
as a black dotted curve; Lower panel: calculated (BEM) extinction
spectra of AgAuAg (solid curves) and pure Ag (dashed curves) NWs with
dimensions corresponding to the experimental ones (same color code).
(B) Resonance wavelengths for the dipolar (cyan) and second through
fifth order multipolar modes (green, dark green, orange, and red,
respectively) vs AgEn. The aspect ratio (purple)
is also plotted for reference. Solid lines are linear fits to the
data. The position of the corresponding modes for the PT Au NR cores
are plotted as open symbols. (C) Wavelength shift of the dipolar plasmon
mode for growth with a faster addition rate (red), and for the standard
rate on PT Au NRs with different dimensions (180 × 34 nm, blue;
180 × 32 nm, green; 210 × 32 nm, cyan). The dashed gray
line represents a theoretical estimate, using the silver-to-gold volume
ratio in one nanowire as AgEn. The open black circle
is the common origin. D-G: Representative TEM images at four different
values of AgEn = 0.72, 1.2, 2.4, 11.52, corresponding
to silver elongations per tip of 33 ± 6 nm, 61 ± 9 nm,
130 ± 20 nm, and 660 ± 90 nm, and longitudinal dipolar
plasmon resonances at 1405, 1630, and 2170 nm, respectively. The dipolar
plasmon for G lies beyond our measurement spectral window.
The quality factor (Q-factor) is the characteristic
figure of merit of any resonator, as it indicates how many oscillations
are undergone by a particular oscillator (see Supporting Information for the calculation details). During
silver elongation, the Q-factor of the dipolar mode decays exponentially
(Figure S2, Supporting Information), which
can be explained considering that radiative coupling to the far-field
increases with the length of the antenna, together with the relative
dissipation, causing the peaks to broaden.[52] When comparing the experimental Q-factors with the ones obtained
from the BEM simulated spectra of Figure A, the calculated ones are found to be only
25% higher compared to the experimental ones. This clearly emphasizes
the low polydispersity of the samples. Interestingly, the decay slope
is similar in both experiment and theory, suggesting again that there
is no significant increase in the polydispersity of AgAuAg NWs during
silver growth. Overall, the resulting polydispersity of the product
is remarkably narrow and clearly emphasized by the narrowness of the
plasmon bands in Figure A. In order to achieve a more meaningful comparison between the widths
of experimental and calculated spectra, we used TEM analysis to predict
the contribution of the polydispersity to the FWHM, which is missing
in the calculation. In fact, the FWHM of the experimental peaks is
constituted by a Lorentzian component, intrinsically related to the
nanoparticle properties, and a Gaussian component, related to the
size distribution in the colloidal solution. The latter is what we
normally evaluate using different techniques like transmission electron
microscopy (TEM), dynamic light scattering (DLS), or small-angle X-ray
scattering (SAXS). The finite size distribution within each sample
accounts for a moderate increase in FWHM of the observed plasmon features
(see Figure S4, Supporting Information).
A more precise assessment is provided by comparing the wavelength
width of the measured (Δλexp) and theoretical (Δλth)
spectra, assuming that the excess in the former one originates from
the finite size distribution of NW sizes for each given sample (ΔL). We then have Δλexp ∼ Δλth+m·ΔL, where m is the
slope of the plot of plasmon wavelength peak vs NW length, extracted
from Figure B. In Table the values of ΔL extracted from this analysis of the optical spectra (ΔLOPT) are compared with the
size distributions obtained from TEM analysis (ΔLTEM). The results show an acceptable agreement, considering
that the number of NWs measured by TEM for each sample is much smaller
than those contributing to UV–vis-NIR spectra.
Table 1
Total Length Distribution
for AgAuAg NWs with Increasing Elongation Degrees AgEn, Evaluated by TEM Analysis, ΔLTEM, and Comparing Experimental and Calculated Optical Spectra, ΔLOPT
AgEn
ΔLTEM (nm)
ΔLOPT (nm)
0.24
20.3
17.6
0.36
19.5
18.7
0.48
19.8
24.3
0.72
21.9
27.5
0.84
29.2
29.7
1.20
36.3
29.7
1.92
39.8
34.2
2.40
42.9
39.1
The last requirement to achieve
a living polymerization reaction (linear growth) can be met by selecting
an addition rate that is slower than the reaction rate. In this way,
a linear zero-order kinetic path is enforced and the resonance wavelengths
of the longitudinal modes, as well as the corresponding aspect ratios
evaluated from TEM measurements (see Table S1, Supporting Information), turn out to scale linearly with time.
Furthermore, as the conversion rate for silver is close to 100%, the
linear shifts are directly proportional to the amount of added Ag+. This proportionality is referred to in what follows as the degree of silver elongation, AgEn, defined as the molar
ratio of added silver salt to gold seeds (i.e., [Ag+]/[Au0]), in analogy to the concept of degree of polymerization. We plotted in Figure B the resonance wavelengths for all the longitudinal plasmons that
were recorded within our measurement spectral window (ranging from
the dipolar mode up to the fifth order mode) vs AgEn. Note that we disregarded some high-energy spectral features that
cannot be clearly resolved apart from the transverse mode. This plot
clearly reveals a linear slope for all modes, up to aspect ratios
above 20 and AgEn value of almost 6. In other words,
this plot indicates that the reaction proceeds according to zero order
kinetics and that no termination or passivation occurs. The corresponding
regression fits (solid lines) yield a Pearson R2 above 0.999 for all the modes and for the aspect ratio. As
a control experiment, we increased the rate of Ag+ addition
by a factor of 1.25. The resulting plasmon shifts were plotted in Figure C (red dots), showing
that the faster addition rate leads to nonlinear shifts. Because the
reaction does not comply in the case of a higher addition rate, the
apparent AgEn increases significantly faster than
the plasmon band shift, which represents the actual growth rate. Furthermore,
under these conditions, excess silver nitrate accumulates in solution,
leading to secondary nucleation, formation of AgCl nuclei, nonspecific
deposition of silver on the growing particle surface, and uncontrolled
increase of the reaction rate. All these effects reduce the amount
of available silver ions for deposition on the NW tips and consequently
compromise the linear growth and impair an accurate prediction of
the final length of the produced AgAuAg NWs. Interestingly, spherical
particles with diameters around 500 nm were observed upon TEM inspection
of the resulting colloid, which are likely due to crystallization
of AgCl present in solution upon drying of the dispersion on the TEM
grid (Figure S5, Supporting Information). We also found that the thickness of the NWs was significantly
larger than expected, in contrast to living reaction conditions (see
Table S2, Supporting Information). An increase
of the reaction temperature also leads to faster reaction rates and
uncontrolled growth, so we conclude that the living reaction conditions
are highly sensitive to changes in reaction kinetics, either induced
by increased temperature or faster precursor addition. The generality
of this method was confirmed by carrying out different experiments
under controlled living nanowire growth conditions
but starting with different PT Au NR core dimensions, which also led
to linear growth and reproducible evolution of the plasmonic features
(Figure C). We used
the silver to gold volume ratio of a single bimetallic nanowire as
the AgEn parameter for BEM simulations (Figure A, bottom), so as
to estimate the theoretical linear behavior (dashed line in Figure C). The observed
deviation can be explained taking into account the presence of a small
amount of Au byproducts (different particle shapes), on which silver
is also reduced, as well as some uncertainty in the initial Au nanorod
concentration, due to the purification step ([Au0] was
estimated using the absorbance at 400 nm, as detailed in the experimental
section). The obtained agreement is a strong confirmation that all
added silver ions were reduced and selectively deposited on the AgAuAg
NW tips. It is worth noting that we have not found any limitation
in the final length of the NWs, our longest experiment resulting in
3.4 μm NWs (corresponding to a AgEn of 40.32)
(Figure S6, Supporting Information).(A) Upper panel: Vis-NIR
spectra recorded during silver growth; the PT Au NR core is displayed
as a black dotted curve; Lower panel: calculated (BEM) extinction
spectra of AgAuAg (solid curves) and pure Ag (dashed curves) NWs with
dimensions corresponding to the experimental ones (same color code).
(B) Resonance wavelengths for the dipolar (cyan) and second through
fifth order multipolar modes (green, dark green, orange, and red,
respectively) vs AgEn. The aspect ratio (purple)
is also plotted for reference. Solid lines are linear fits to the
data. The position of the corresponding modes for the PT Au NR cores
are plotted as open symbols. (C) Wavelength shift of the dipolar plasmon
mode for growth with a faster addition rate (red), and for the standard
rate on PT Au NRs with different dimensions (180 × 34 nm, blue;
180 × 32 nm, green; 210 × 32 nm, cyan). The dashed gray
line represents a theoretical estimate, using the silver-to-gold volume
ratio in one nanowire as AgEn. The open black circle
is the common origin. D-G: Representative TEM images at four different
values of AgEn = 0.72, 1.2, 2.4, 11.52, corresponding
to silver elongations per tip of 33 ± 6 nm, 61 ± 9 nm,
130 ± 20 nm, and 660 ± 90 nm, and longitudinal dipolar
plasmon resonances at 1405, 1630, and 2170 nm, respectively. The dipolar
plasmon for G lies beyond our measurement spectral window.We selected two samples with significantly different
NW lengths to discuss the influence of the PT Au NR core on the optical
properties of the bimetallic particles. We analyzed the optical extinction
spectra from NWs in heavy water solution (Figure ) and carried out a detailed EELS analysis
(Figures ,4). Both experimental methods were supported by BEM
calculations. The first sample had AgEn = 0.5, corresponding
to a total aspect ratio of 6.7, and 25 nm Ag extending beyond each
tip of the PT Au NR core. We compare in Figure A the Vis-NIR spectrum (black solid curve)
with the calculated extinction spectrum of a NW with the average dimensions,
either containing the PT Au NR core (red-dotted curve) or being made
of pure Ag (blue dash-dotted curve). The simulations reveal in this
case a clear influence of the PT Au NR core on all the plasmon modes,
particularly in the short wavelength (high energy) region. The second
sample corresponds to AgEn = 5.3, aspect ratio 25,
and 360 nm of Ag from each tip. The 3D reconstructed volume of the
two samples obtained by the Total Variation Minimization (TVM)[53] technique, applied to a tilt series of HAADF-STEM
images (Figure B and 2D) clearly shows that the PT Au NR core is located
in the center, with 2 nm of silver on the lateral facets (also considered
for the simulations). The pentagonal cross section of the particle–characteristic
for PT NRs–is preserved, as evidenced by the cross section
in Figure B and 2D. Remarkably, the low polydispersity of the synthesized
AgAuAg NWs allowed us to detect nine LSPR bands in solution (Figure C), and we find again
a good agreement with the BEM simulated extinction spectrum. In this
case, however, the differences between simulations with and without
the gold core are significantly smaller, and mainly observed in the
high-energy region. It should be noted that the permittivities of
silver and gold are well described through a common Drude expression
ε(ω) = εb – ωp2/ω(ω + iγ) in the IR region, where
the so-called classical plasma energy is given by ℏωp ∼ 9 eV,[54] as determined
by the density of s conduction electrons (i.e., the
same in both metals, because each atom contributes with one s electron and their atomic densities are nearly identical).
The difference between these two metals lies in the level of losses
(ℏγ = 25 meV for silver and 71 meV for gold) and in the
background screening produced by d-band polarization
(εb = 4 in silver and 9.5 in gold). Consequently,
in the infrared spectral region (i.e., λ > ∼1000 nm),
the second term dominates in the Drude expression, the precise value
of εb becomes irrelevant, and both silver and gold
behave in a similar fashion, except that the latter produces more
inelastic optical losses (through a larger damping rate γ).
Besides these intrinsic material properties, which lead to similar
optical behavior in the NIR, there is a geometrical effect associated
with the NW: for a given mode order (e.g., the lowest-order dipolar
mode), the wavelength shifts deeper into the IR with increasing NW
length, and eventually the mode size becomes comparable to λ/2,
giving rise to a relatively larger contribution of radiative damping,
which again makes the two metals look more similar. These considerations
explain why the AgAuAg bimetallic NWs have similar properties to those
of pure Ag wires with the same outer geometry, particularly for infrared
modes and long NWs (Figure A).
Figure 2
(A) Vis-NIR spectrum of a colloid of short (AgEn = 0.5) AgAuAg NWs (black line) compared to simulated spectra in
the presence (red) and absence (blue) of the PT Au NR core. (B) Representative
TEM image showing the high monodispersity of the sample. (C), (D)
Same as (A) and (B) for a sample of longer NWs (AgEn = 5.3). Inset of (C) Zoom of the highlighted area discerning high
order modes 5, 6, and 7. At the right subpanels of (B) and (D), 3D
TEM visualizations of the reconstructed nanowires are presented (green
and yellow correspond to silver and gold, respectively), both from
one tip (left) and along their length (right).
Figure 3
(A) Spatial distribution
of plasmon modes for a short AgAuAg NW (AgEn = 0.5)
as measured by EELS; the numbers refer to the same modes as in the
Vis-NIR spectrum of Figure A. (B) BEM simulations of EELS maps associated with the plasmon
modes shown in A, for a NW containing the PT Au NR core. (C) Simulations
for a pure Ag NW with the same dimensions. The simulated maps are
normalized to the maximum intensity in each case. The silver (gold)
surface is indicated with solid (broken) white lines in the calculated
maps.
Figure 4
(A) Spatial distribution of plasmon modes for
a long AgAuAg NW (AgEn = 5.3) as measured by EELS;
the numbers refer to the same modes as in the vis-NIR spectrum of Figure A. (B) BEM simulations
of EELS maps associated with the plasmon modes shown in (A), for a
NW containing the PT Au NR core. (C) Simulations for an Ag NW with
the same dimensions. The simulated maps are normalized to the maximum
intensity in each case. The silver (gold) surface is indicated with
solid (broken) white lines in the calculated maps.
(A) Vis-NIR spectrum of a colloid of short (AgEn = 0.5) AgAuAg NWs (black line) compared to simulated spectra in
the presence (red) and absence (blue) of the PT Au NR core. (B) Representative
TEM image showing the high monodispersity of the sample. (C), (D)
Same as (A) and (B) for a sample of longer NWs (AgEn = 5.3). Inset of (C) Zoom of the highlighted area discerning high
order modes 5, 6, and 7. At the right subpanels of (B) and (D), 3D
TEM visualizations of the reconstructed nanowires are presented (green
and yellow correspond to silver and gold, respectively), both from
one tip (left) and along their length (right).To confirm these observations, we carried out a detailed
near-field study by EELS, also supported by BEM calculations. Plasmon
mapping confirmed the symmetry and standing-wave nature of the modes
under study. We summarize in Figures and S8 (Supporting Information) the results for the short NWs (AgEn = 0.5): all
of the extinction bands observed in the far-field Vis-NIR spectrum
are also found in EELS (Figure A). The spatial distribution of the plasmons clearly indicates
the even or odd nature of each mode: modes (1–3) are the dipolar,
quadrupolar, and octupolar longitudinal modes, respectively, whereas
modes (4–5) are the accumulation of several modes (see below).
Incidentally, only odd modes can be excited using light incident with
its electric field parallel to the NW, in contrast to EELS in which
even modes are also excited due to the multipolar character of the
electron exciting field. This conclusion can be actually extended
to NWs of arbitrary orientation relative to the externally applied
field when they are sufficiently small as to neglect retardation effects
(e.g., an exp(i2πr/λ) dependence on position r and light wavelength λ). However, we are dealing
here with long NWs, with lengths that are comparable to λ, so
there is strong retardation and this is the reason why our optical
spectra reveal modes with both odd and even symmetry.[30,37,41,55] The EELS experimental maps were compared to numerically computed
maps using BEM. Simulations were carried out both in the presence
(middle panel) and in the absence (bottom panel) of the PT Au NR core.
Although the agreement between theoretical and experimental plasmon
energies in the optical measurements is excellent (see above), the
EELS modes are noticeably red-shifted with respect to theory, presumably
because of the effect of the substrate, which is not accounted for
in our simulations. However, the features in the measured and calculated
EELS spectra are in good mutual agreement (see Figure S7, Supporting Information), and we argue that the
spatial distribution of the plasmon excitation should not be too sensitive
to the observed shift. This intuition is corroborated when comparing
modes of the same symmetry, which yield very similar spatial distributions
in theory and experiment. It is important to keep in mind that the
highest-order modes observed in EELS (modes 4 and 5 in Figure ) are in fact the accumulation
of several modes, which are integrated over the finite energy range
covered within the energy-filtered images. Note that we are instead
showing monochromatic maps in the calculations, so that these high-order
maps are understandably different from those experimentally acquired.
Additionally, the number of plasmon modes (an infinite, discrete set)
has an accumulation point toward the electrostatic planar surface
plasmon (signaled by ε1 = −1 in
vacuum), as they undergo fast oscillations, so that the surface is
locally seen as flat. This explains the rather uniform distribution
of the observed map at that energy (3.7 eV for the silver-vacuum interface).
The theoretical calculations also allow us to explore the role of
the PT Au NR core in the plasmonic response, which essentially produces
a redshift of the plasmon energies, along with additional broadening
in the EELS spectra (see Figure S7, Supporting
Information). It is thus not surprising that the silver NW
has better-defined higher-order modes (second maps from the left in Figure B,C).(A) Spatial distribution
of plasmon modes for a short AgAuAg NW (AgEn = 0.5)
as measured by EELS; the numbers refer to the same modes as in the
Vis-NIR spectrum of Figure A. (B) BEM simulations of EELS maps associated with the plasmon
modes shown in A, for a NW containing the PT Au NR core. (C) Simulations
for a pure Ag NW with the same dimensions. The simulated maps are
normalized to the maximum intensity in each case. The silver (gold)
surface is indicated with solid (broken) white lines in the calculated
maps.For a long NW (Figure and S9, Supporting Information, AgEn = 5.3), EELS
characterization did allow us to identify the dipolar longitudinal
mode (1), as well as six additional multipolar modes (2—7 corresponding
to increasing order, that is, number of sign changes in the associated
induced charge along the wire), whereas the last two peaks (8–9)
correspond to an accumulation of several modes, as discussed above
for short NWs. In this case, the effect of the PT Au NR core is qualitatively
similar, but nearly marginal for low energy modes. In particular,
the lowest-order dipolar plasmon involves high plasmon strength (larger
enhancement of the near field) near the NW tips, and consequently
the near field plot looks nearly identical for the calculated AgAuAg
(Figure B) and the
pure-Ag NW (Figure C), also in excellent agreement with the experimental EELS maps (Figure A). Because the NIR
response of gold and silver is similar, as they both behave as Drude
metals, and interband transitions contribute marginally in this spectral
region, the position of the low-energy, low-order plasmons should
not change significantly between pure Au and pure Ag NWs; nonetheless
we expect to observe additional broadening in the case of gold, because
it shows higher intrinsic damping losses compared to silver (71 vs
21 meV). In Figure S10 (Supporting Information), we show calculated spectra for the corresponding pure Au NWs.
In conjunction with a higher broadening, we observed a reduction in
the plasmon extinction cross section. Therefore, the PT Au NR core
can only be identified in the higher-order modes, which involve a
large intensity in the central NW region, whereas their high energies
involve very different and relatively moderate values of the dielectric
functions of the two metals. Interestingly, the second-order mode,
which also has a large weight in the center of the NW, appears at
a sufficiently low energy as to feel a similar response from both
gold and silver, as we argued above, and consequently, the calculated
energies of this mode in the long NWs are similar to those obtained
without the PT Au NR core. For such low order modes, the NW acts as
a whole plasmonic entity. In contrast, the vacuum/silver interface
plasmon is both experimentally and theoretically found to be localized
on the silver parts only. For this mode, corresponding to high wave
vectors (short wavelengths), the plasmons feel differently each metal,
and consequently the gold and silver parts act as two separated plasmonic
entities in this regime.(A) Spatial distribution of plasmon modes for
a long AgAuAg NW (AgEn = 5.3) as measured by EELS;
the numbers refer to the same modes as in the vis-NIR spectrum of Figure A. (B) BEM simulations
of EELS maps associated with the plasmon modes shown in (A), for a
NW containing the PT Au NR core. (C) Simulations for an Ag NW with
the same dimensions. The simulated maps are normalized to the maximum
intensity in each case. The silver (gold) surface is indicated with
solid (broken) white lines in the calculated maps.In conclusion, the synthesis of AgAuAg bimetallic
nanowires has been largely improved by enforcing living growth conditions
to the deposition of silver on the tips of pentatwinned Au nanorods,
which allowed us to achieve high quality colloidal dispersions with
remarkably low polydispersity. As a result, the plasmon bands observed
in colloidal NW dispersions are much narrower than those reported
for other types of both lithographic and colloidal nanoparticles within
the same IR spectral range (see Figure ). The measured quality factor (i.e., the ratio of
plasmon energy to spectral energy FWHM, which is equal to 1/(2π)
times the number of plasmon oscillations before the near-field intensity
is attenuated by a factor 1/e) is in fact reasonably close to the
calculated one for NWs of well defined size, and as we discuss above,
the difference between these two is well explained in terms of the
experimental finite size distribution, thus emphasizing our understanding
of the optical response of the NWs in terms of the local permittivities
of gold and silver. The new protocol provides the opportunity to fine-tune
the NWs length up to the micrometer scale (AR > 100), so that the
obtained optical antennas displayed a large number of plasmonic modes
that spread over the entire UV–vis-IR region (up to nine detectable
modes directly in the colloidal suspension). The role of the gold
cores on the optical response was carefully investigated by EELS,
and we demonstrated that it does not have a large effect on plasmon
propagation along the NW surface, whereas its influence is limited
to higher energy modes. The procedure opens up new possibilities for
the exploitation of plasmon resonances in the near and mid IR regions.
Figure 5
Comparison of the quality
factor of vis-NIR plasmons reported in the literature for different
nanoparticles preparation: lithography (black opened circles) and
wet-chemistry (green opened triangles). These are compared with our
results from AgAuAg NWs experiments (pink diamonds) and calculations
(blue triangles).[63−75]
Comparison of the quality
factor of vis-NIR plasmons reported in the literature for different
nanoparticles preparation: lithography (black opened circles) and
wet-chemistry (green opened triangles). These are compared with our
results from AgAuAg NWs experiments (pink diamonds) and calculations
(blue triangles).[63−75]
Materials
Benzyldimethylhexadecylammonium chloride,
hexadecyltrimethylammonium bromide (CTAB, ≥96.0%), hexadecyltrimethylammonium
chloride (CTAC, 25 wt % in water), hydrogen tetrachloroaurate trihydrate
(HAuCl4·3H2O, ≥99.9%), silver nitrate
(AgNO3, ≥99.9%), l-ascorbic acid (AA, ≥99%),
deuterium oxide (D2O, 99.9 atom % D), sodium borohydride
(NaBH4, 99%), and trisodium citrate (≥98%) were
purchased from Aldrich. All chemicals were used as received. Milli-Q
water (resistivity 18.2 MΩ·cm at 25 °C) was used in
all experiments. All glassware was washed with aqua regia, rinsed
with water, sonicated three times for 3 min with Milli-Q water, and
dried before use.
PT Au NR Synthesis
The pentatwinned
gold nanorod synthesis was adopted from the protocol of Pérez-Juste
et al. with some minor modifications.[49] These changes mainly refer to an increase of NaBH4 concentration
during citrate-capped seed growth to improve reproducibility and increase
of AA concentration during AuNR growth to improve the final yield.
3.5 nm Citrate-Capped Au Seeds
Briefly, 20 mL of a 0.125
mM HAuCl4, 0.25 mM trisodium citrate aqueous solution was
prepared and stirred for 10 min at room temperature. Next, 600 μL
of a freshly prepared 0.1 M NaBH4 solution was added quickly
under vigorous stirring. After 2 min, the stirring rate was reduced
and the seeds were aged 40 min under slow stirring at room temperature.
To ensure for complete removal of excessive NaBH4, the
solution was stirred at 40—45 °C for another 15 min.
5.5 nm CTAB-Capped Au Seeds
A 5 mL growth solution was prepared
consisting of 40 mM CTAB and 0.125 mM HAuCl4. The Au(III)
was reduced to Au(I) with 12.5 μL of a 0.1 M AA solution (f.c.
0.25 mM), indicated by a fast color change from yellow-orange to transparent.
Then, 835 μL of the citrate-capped Au seeds was added quickly
and the solution was mixed by hand-shaking thoroughly. The 5.5 nm
CTAB-capped Au seeds were aged for 3 h at 23 °C prior final overgrowth.A 500 mL growth solution was prepared
containing 8 mM CTAB and 0.125 mM HAuCl4. The solution
was thermostated at 20 °C. Next 1560 μL of a 0.1 M AA (f.c.
0.313 mM) was added and gently stirred leading to a clearance of the
solution. Finally, 750 μL of 5.5 nm CTAB-capped Au seeds was
added quickly and mixed thoroughly. The solution was thermostated
at 20 °C overnight.
PT Au NR Purification
Purification
was carried out as described by Scarabelli et al.[56] For PT Au NRs of length and width ca. 200 and 30 nm, respectively,
the final surfactant concentration was set to 0.1 M through the addition
of 67.5 mL of a 25 wt % CTAC solution, leading to flocculation and
sedimentation overnight (see Supporting Information for more details about the calculation). The supernatant was discarded
and the sediment containing the NRs was redispersed in a 10 mM BDAC
solution to obtain a final Au(0) concentration of 0.25 mM (measured
using the absorbance at 400 nm).[57,58]
AgAuAg NWs
Synthesis
A total of 20 mL of the purified PT Au NR solution
containing 10 mM BDAC and 0.25 mM Au(0) was heated to 60 °C.
AgNO3 (0.004 M in water) and AA (0.016 M in 20 mM BDAC,
in order to keep the BDAC concentration constant) were added continuously
in separate syringes by a syringe pump with a rate of 0.24 mol of
Ag(I) per mol of Au(0) per hour (effective rate starting at 300 μL/h)
under slow stirring at 60 °C. Samples of 1 mL were taken after
defined time frames and the effective rate adjusted to maintain the
rate of 0.24 mol of Ag(I) per mol of Au(0) per hour during the whole
experiment (see Table S3, Supporting Information for the effective rates). For UV–vis-NIR measurements beyond
the water limit at around 1350 nm, the path length was reduced using
a 1 mm cuvette and water was exchanged by deuterated water to reduce
vibrational modes and consequently reduce overall extinction. The
samples were washed three times by centrifugation (1000—3000
rpm) and redispersing in deuterated water (concentrating the sample
down to 400 μL) to allow UV–vis-NIR measurements in the
range of 300—2500 nm in a 1 mm pathway cuvette to be performed.
Spectroscopic and TEM Characterization
Transmission electron
microscopy (TEM) images were collected with a JEOL JEM1400PLUS instrument
operating at 120 kV with carbon-coated 400 square mesh copper grids.
All samples were centrifuged twice before blotting on the grid to
reduce surfactant concentration. Optical extinction spectra were recorded
using an Agilent Cary 5000 UV–vis-NIR spectrophotometer in
deuterated water. All the presented UV–vis-NIR spectra were
multiplied by the respective dilution factors to facilitate comparison
of the data. HAADF-STEM images and electron tomography series were
acquired using an aberration corrected cubed FEI Titan 60—300
electron microscope operated at 200 kV. For the reconstruction of
the series, the total variation minimization technique (TVM) was used.
EELS plasmon maps, were acquired using a monochromated double aberration
corrected cubed FEI Titan 50—80 electron microscope operated
at 300 kV and yielding an energy resolution of 0.12 eV. For the analysis
of the two EELS data sets, first a Richardson–Lucy deconvolution
of the ZLP from the data was performed and then the ZLP was fitted
and subtracted from the result, by using Hyperspy.[59] Because the points of the map passing over the rod still
present a large background due to multiple phonon scattering and are
also noisier due to the lower counts, reducing the signal quality
from those areas, a mask was used in the place of the NW.[60]
Electromagnetic and EELS Simulations
Optical extinction spectra, electric near-field intensity maps, and
EELS intensities are calculated by solving the Maxwell equations in
the presence of either an external light plane wave or an electron
point charge moving with constant velocity (v = 0.78c, corresponding to an acceleration voltage of 300 kV),
respectively. The extinction calculations are averaged over NW orientations
and light polarizations. For EELS, the electron is incident along
a direction normal to the long wire axis. For simplicity, the wires
are simulated as axially symmetric rods of the same volume as the
actual PT NWs, using the boundary-element method and exploiting the
axial symmetry of the particles, as described elsewhere.[48] More precisely, the outer gold and silver NW
interfaces are modeled as circular cylinders with hemispherical caps.
The radius of the silver wire is considered to be 2 nm larger than
that of the gold core. The latter has a length (diameter) of 210 nm
(34 nm) in the simulations of Figure and 180 nm (32 nm) in Figures –4. Gold and
silver are represented by their tabulated frequency-dependent complex
dielectric functions.[61] The NWs are considered
to be in vacuum (ε = 1) for EELS and in deuterated water (ε
= 1 – 0.30637 λ2/(λ2 + 47.26686)
+ 0.74659λ2/(λ2 – 0.00893),
where λ is the free-space light wavelength in microns under
optical illumination[62]) for optical extinction.
Authors: Benito Rodríguez-González; Farah Attouchi; M Fernanda Cardinal; Viktor Myroshnychenko; Odile Stéphan; F Javier García de Abajo; Luis M Liz-Marzán; Mathieu Kociak Journal: Langmuir Date: 2012-04-10 Impact factor: 3.882
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