Onset of Intense Surface Enhanced Raman Scattering and Aggregation in the Au @ Ag System

Gold core/silver shell (Au@Ag) nanoparticles of ∼37 ± 5 nm diameter generate intense SERS (λEX = 785 nm) responses in solution when they interact with the SERS labels rhodamine 6G (R6G), 4-mercaptopyridine (MPY), and 4-mercaptobenzoic acid (MBA). Herein the relationship between SERS intensity, aggregation, and adsorption phenomenon isobserved by titrating Au@Ag with the above labels. As the labels adsorb to the Au@Ag, they drive aggregation as evidenced by the creation of NIR extinction peaks, and the magnitude of this NIR extinction (measured at 830 nm) correlates very closely to magnitude of the intense SERS signals. The label MBA is an exception since it does not trigger aggregation nor does it result in intense SERS; rather intense SERS is recovered only afterMBA coated Au@Ag is aggregated with KCl. An “inner filter”model is introduced and applied to compensate for solution extinction when the exciting laser radiation is significantly attenuated.This model permits a summary of the SERS responses in the form of plots of SERS intensity versus the aggregate absorption at 830 nm, which shows the excellent correlation between intense SERS and LSPR bands extinction.


Introduction
Over the past few decades, the advent of surface enhanced Raman scattering (SERS) has proven enormously powerful for the spectral detection of certain molecules [1].In a recent example, fruit peels with trace amounts of the pesticide thiram were sprayed with a nanoparticle solution and analyzed in situ yielding surprisingly low detection limits [2].This simple preparation permitted SERS detection of the unique thiram spectrum directly from the fruit specimens using an affordable semiconductor laser-based (785 nm) detection system.But the sensitivity of SERS is demonstrated most dramatically by single molecule resonance Raman with nanoparticle-aggregate structures [3][4][5][6].Many applications derive from this uniquely sensitive and selective spectral fingerprinting such as in gas phase chemical analysis [7], cellular analysis [8][9][10], and tip-enhanced [11] spectroscopy (TERS) which permits the collection of Raman spectra accompanying scanning probe microscopy.Yet exploitation of SERS for chemical analysis remains suboptimal in many practical settings because of the specific set of conditions needed to produce the singularly intense emission which accompanies that small minority of very "hot" SERS emitters [12].Correlated measurements of particle structure and SERS spectra reveal that intense emission is correlated to nanoparticle pairs or small aggregates, likely possessing ∼1 nm interparticle gaps that host the target molecule [13,14].Recent examples of this include the development of dimer or trimer nanostructures that show extraordinary enhancement [15,16].
The enhancement mechanisms underpinning the SERS effect are often classified in one of two ways: either electromagnetic (EM) or chemical (CE) in origin.Amplification of incident optical electric fields by localized surface plasmon resonance (LSPR), which appear in noble metal nanoparticles, and of surface asperities of various geometries is essential to the SERS phenomenon [17].Chemical enhancement may ultimately be a catch-term for numerous contributions including chemical bonding between the adsorbate molecule and the metal [18,19], electron transfer [20], resonance with electronic states [21], and underpinnings related to the inhomogeneity (e.g., lower symmetry) of local fields relative to isotropic radiation [22].
An additional aspect of SERS is that the electric field enhancement of the Raman effect is expected to scale as |  | 2 |  | 2 , when both the incident and reradiating fields enjoy similar plasmon enhancement [23][24][25].For this reason, the relatively modest plasmonic optical fields, which at certain locations on a nanoparticle or assembly may yield 100-fold field increases, can therefore potentially yield prodigious (100 2 )(100 2 ) = 10 8 -fold total enhancements when both incident (  ) and Raman shifted (  ) frequencies are near enough to resonance with the operative LSPR mode to enjoy large enhancement.Therefore, the incident excitation intensity and the shape and resonance wavelength of the nanoparticle play important roles in defining the electric field enhancements induced by LSPR [26].In most cases, the enhancements in   and   are nearly the same because the LSPR bands are broad compared to the Stokes shifts in normal Raman.In this case, the above enhancement may equate to ∼ 8  .Of particular importance to this work is the observation that intense SERS is not necessarily associated with a large LSPR intensity which is observable in the far field, that is, that LSPR which corresponds to a detectable signal using conventional optics.For example, Kleinman et al., in a single-particle study, observed optimal SERS enhancements at wavelengths between 785 and 830 nm for a collection of "hot spot" emitters.These wavelengths were much longer than those associated with the LSPR peaks, indicating that a mechanism other than far-field observable LSPR was responsible for the hot spots observed [14].
Nonetheless, intense SERS signals are generally ascribed to field enhancements at the junctions of nanoparticle dimers [13] and trimers and are often larger than those of the single dipolar particle [27][28][29].Nanoparticle aggregates are of interest since they should present many such "hot" nanogaps [29,30].Accordingly, surfaces such as "metal films over nanospheres" [31], nanorings [32], and crescents [33] make good surface SERS substrates.Diffusing nanoparticle dimers and small aggregates also produce intense SERS [15,34].In the examples above however, the LSPR spectra clearly indicate the aggregation state of the SERS emitters.
In this paper we document the relationship between NP aggregation (which is simply driven with the SERS labels themselves [35]) and the SERS emission, observed as a function of label concentration.In essence, this is a SERS titration because the titrant (SERS label) is added gradually while monitoring the SERS signals.Similar "titrimetric" approaches have been explored with an eye to optimizing photothermal ablation therapies [36] tailoring the interaction of amino acids with Au particles [37] and in the context of understanding the SERS response of larger aggregates [38].In this latter report the temporal aspect of aggregation in a kinetically limited setting (using biotin/avidin) is studied, and the increase and subsequent decrease in SERS intensities are modeled using a variety of methods including electrodynamics and DLVO and DLS calculations and indicate maximum enhancement from small clusters (dimers and trimers).In contrast, this report presents a direct correlation between SERS and aggregate extinction which has not been presented before to our knowledge.However, Kleinman et al. recently showed that a direct correlation between aggregate extinction and SERS is not supported by single-particle studies [14].In this case, the far-field observable scattering spectra ( MAX ∼ 585 nm) do not predict  MAX for the SERS EF, which appears to peak at 785 nm and then declines gradually.So, in this report, the direct and clear correlation between the aggregate extinction and the SERS signal of the particles may prove controversial.
For the present report, the choice of Au@Ag core-shell nanoparticles is related to the favorable SERS intensities associated with these particles [2,39] as well as their suitability to the 785 nm excitation source.The titrimetric approach used permits measurements of the correlation between the amounts of titrant used, the intense SERS observed, and the optical extinction spectra (and thereby the aggregation state of the Au@Ag) [40].Lastly a variety of SERS labels (titrants), rhodamine 6G (R6G), 4-mercaptopyridine (MPY), and 4mercaptobenzoic acid (MBA) (which alone does not trigger aggregation but can later be aggregated via titration with KCl solution), illustrate general agreement and impart a degree of generality to the conclusions.These conclusions are that the intensity of the SERS response invariably correlates to the aggregate absorption band measured at 830 nm, whether this band appears gradually, abruptly, or following the addition of label and then of the non-SERS active aggregant KCl.

Experimental
2.1.Preparation of Au@Ag Nanoparticles.Au@Ag nanoparticles were prepared using a chemical metal reduction procedure following Liu et al. [2] but with some minor refinements which we found to improve particle consistency.Gold nanoparticles were synthesized first following the singlephase water based Turkevich method [41].The protocol used was as follows: first 98.5 mg of hydrogen tetrachloroaurate (HAuCl 4 , Acros, reagent grade) is added to 2.5 mL of well-purified water (>10 MΩ cm, recirculating Millipore polisher/deionizer with 4.5 m filter, used throughout) to prepare a 0.10 M stock solution; a silver nitrate (Acros Ultrapure) stock solution (1.15 mM) is similarly prepared and stored at 4 ∘ C for no more than 30 days before use.Trisodium citrate (Acros, 98%, 3.40 mM, and 25 mL) and ascorbic acid (Fischer, 99.8%, 1.00 M, and 25 mL) solutions were prepared freshly for each synthesis.A reflux apparatus (250 mL, threeneck round bottom flask with condenser) cleaned with aqua regia containing a Teflon coated stir bar is then charged with 100 mL ultrapure water and then 295 L HAuCl 4 (added via syringe fitted with a 0.2 m nylon filter tip).Next, 1.56 mL of trisodium citrate solution is added via filter-tipped syringe to the vigorously stirred, room-temperature HAuCl 4 solution.The solution is stirred at room temperature for 15 minutes before heating to 100 ∘ C which is maintained for 60 min.At that time a color change from a pale yellow to a ruby red is observed.Stirred solutions are allowed to cool to room temperature over 30 minutes.At this point, 1 mL aliquots of the Au core solutions were removed for UV-visible extinction measurement (Cary-50 Bio, 200-1000 nm) and the extinction band shapes and peak wavelengths ( MAX ∼ 518 nm) checked to confirm their conformity to expected values.Ag shell formation was done either immediately following Au core preparation or following overnight storage at 4 ∘ C. Shells are added as follows: first, 7.5 mL of ascorbic acid solution is added via filter-tipped syringe as above, and, then, 15 mL of AgNO 3 solution is gradually infused via syringe pump and through a nylon filter at a rate of 3.15 mL per hour, thus triggering a gradual reduction of Ag onto the Au cores [2].All solutions are benchmarked for SERS activity using R6G (standard protocol) at time of preparation and before other experimentation in order to ensure consistency.The above produces Au@Ag nanoparticles of predominantly spherical shape with a diameter of approximately 37 ± 5 nm as seen in high resolution TEM images (Figure 2, courtesy of SJSU Professor Folarin Erogbogbo at the UCSC MACS Facility at NASA-AMES).
Raman spectra were collected using an Enwave Optronics EZ-Raman (785 nm, 300 mW max power) spectrometer in a backscattering geometry and at an optical resolution of ∼7 cm −1 and set to approximately 150 mW.Spectra shown are the average of four 4-second scans.The lens tube used has a 7.0 mm focal length positioned such that the optical path was 6.0 mm into the liquid volume of the cuvette.Visible absorbance spectra were obtained either concurrently or just following Raman collection using an absorbance spectrometer.The absorption setup employs an Ocean Optics LS1 tungsten halogen light source, coupled via a 400 m multimode fiber optic cable to a pair of collimating lenses and analyzed using an Ocean Optics USB 650 spectrometer.The data acquisition, storage, and analysis were done using a custom software routine (National Instruments LabView 8.2).A schematic of this system is provided in Figure 1.
Spectroscopic titration experiments were conducted by serial additions of small aliquots of SERS label to a wellstirred cuvette using micropipettes.The protocol is as follows: 1.00 mL of as-prepared nanoparticle solutions is diluted with an equal volume of water into a clean silica cuvette, which is vigorously stirred (6 mm × 3 mm Teflon coated magnetic stir bar, ca.600 RPM) throughout.Absorbance and SERS spectra are recorded at an interval corresponding to 60 s following the addition of SERS label (e.g., R6G) and using a dedicated set of pipettors (Fisher Pipetman) to improve reproducibility of experiments.Titrations comprised a series of injections of 2.0, 3.2, 5.0, 8.0, and 12.6 L, respectively, for each titrant solution in increasing order of concentration, 1.0, 10, 100, 1000, and 10,000 M.This produces a log-linear series of increasing quantities of label with only a small total volume change.Using this protocol it was possible to generate a series of concentrations ranging from 1 nM and up to 250 M in a sequence of 25 steps.After each addition of titrant, a one-minute adsorption time was allowed followed by the acquisition of the Raman and the UV-Vis spectra.The timing of the acquisitions of SERS and UV-Vis spectra was originally serial (SERS first) and later was done simultaneously.Numerous iterations of all experiments were performed yielding consistent results in terms of general trend, although in some cases the peak SERS signals were much smaller.

Results and Discussion
Raman spectral results for titration experiments are shown in Figure 3.The spectral positions are consistent with those in literature reports for R6G [25], 4-MPY [42], and 4-MBA [43].R6G SERS (top) spectra often reached a high intensity over a quite small range of concentrations.Of the 26 spectra shown (covering 0.001 M to 250 M, label concentration), detectable SERS is first observed at 1 M (total added label); then the intensity peaks sharply at 2 M and gradually declines as [R6G] concentrations increase.Throughout this range (∼2 to 200 M), relative SERS band intensities remain roughly constant.At their peak, these signals correspond to an enhancement factor [44] of where  SERS and  Raman are the integrated band intensities and  Surf and  Vol are the numbers of molecules interrogated in each setting, respectively.It shows the enhanced SERS signal over the normal Raman signal [44].The absolute scattering cross section can be estimated by using the absolute cross section of R6G (measured at  EX = 633 nm but corrected to 785 nm) as 1.25 × 10 −21 cm 2 sr −1 which we estimated as below.To estimate the absolute cross sections, we have used a literature value for the 1364 cm −1 band of R6G (1.8 × 10 −27 cm 2 sr −1 , measured using  EX = 633 nm) and the following relation [45]: where The normal Raman differential cross sections for the 1364 cm −1 band of R6G [44] for  EX = 633 nm must be corrected for the ∼] 4 frequency dependence of cross section on excitation frequency [44] given by where ] EX is the excitation frequency and ] Vib is the frequency of the Raman vibrational mode.The correction factor is therefore And therefore the absolute cross section of R6G comes out to In the case of MPY (Figure 3, middle), the SERS response is both more gradual and more sensitive at low concentrations.For example, the MPY SERS spectrum is clearly detectable at 0.001 M (first injection), then steadily grows until about 0.4 M, and then gradually declines.MBA spectra (bottom), in contrast, never become highly intense in this setting but rather begin to generate a weak but detectable signal near 1 M which then gradually increases, reaching a peak intensity just below 10 M, but with signal levels ∼100 times lower than that observed for MPY.Selected peak wavenumbers for these three analytes are indicated in Figure 3.Both the overall spectral fingerprints and the peak values agree well with literature reports of SERS using these molecules [13,46,47].
Figure 4 illustrates the corresponding optical (VIS-NIR, 400-1000 nm) extinction (absorbance plus scattering) spectra.The spectra are consistent with literature reports of similarly prepared Au@Ag: broad extinction at wavelengths less than 500 nm and a distinct, nearly Gaussian peak at ∼515 nm attributable to the dipolar localized surface plasmon resonance of noninteracting Au@Ag nanoparticles [2].Over the course of the titrations, an exchange of extinction intensity was observed as the dipolar LSPR band decreased and a new and progressively broadening band, which originally appeared at  ∼ 750-1000 nm, arose.This band presumably indicates nanoparticle dimers and higher aggregates.These spectral changes closely followed the SERS onsets.As was the case for SERS signals, R6G addition did not noticeably alter the optical spectra until [R6G] reached M levels, at which point the transformation from monomeric to aggregate spectra began abruptly.Optical spectra of the nanoparticle dipolar band were obscured above [R6G] ∼1 M because the strong R6G absorption at 515 nm overlapped the dipolar LSPR band.Notwithstanding this problem, NIR extinction was observed to evolve, increasing in overall intensity, broadening and red-shifting with each addition of R6G up to the maximum (2 M) concentration observed.MPY optical results were similar but far more gradual in onset.As extinction at 515 decreased steadily, NIR bands arose and red-shifted.Addition of MBA did not lead to gross spectral changes in contrast to both R6G and MPY but MBA did (see below) give rise to subtle shifts in  SPR .Interestingly, there appears to be an approximately isosbestic point near 560 nm (see circle in Figure 4, middle), indicating a possible direct exchange from monomeric nanoparticles to some new aggregate state or states that have similar extinction at this wavelength.
The important spectral changes: rising SERS intensities (left ordinate) alongside rising NIR extinction (right) are displayed versus label concentration in Figure 5.The two figures clearly change synchronously as titrant is added.The abrupt transition in SERS intensity for R6G is accompanied by an abrupt change in the NIR extinction of nanoparticle aggregates in the solution.
In the case of R6G, the abrupt transition from monomeric nanoparticles to aggregate is hypothesized to be an aggregation event.To calculate the approximate barrier to aggregation for R6G, DLVO theory has been used and it has been employed recently in the nanoparticle context [48].DLVO theory treats colloid stability in terms of a balance of attractive (e.g., van der Waals) forces and repulsive (e.g., electrical double layer) forces.Hence, DLVO provides a framework for understanding the crucial phenomenon of nanoparticle aggregation, a major determinant of SERS phenomena.The first term in the DLVO barrier calculation is the electrostatic repulsive energy for the two spheres of radius  with zeta-potential () approaching each other in a medium of Debye length  −1 , with  as center to center distance, and is given by Above  is the Boltzmann constant,  is the temperature,   is the relative permittivity of water, and  0 is the vacuum permittivity.The Debye length, , is given by Here  is the valency of the ions comprising the double layer (±1 in the present case),  is the electronic charge, and  ∞ is the number density of ion in bulk solution which was estimated in this work from solution conductivity using the following relation [49]: where  is the specific conductivity (measured by conductivity probe (Cole Parmer, 19815-00)) of the particle solution, Λ is the equivalent conductivity of the electrolyte solute (NaCl was used in this case), and  is the electrolyte concentration, and, within the bounds of this estimate, also  = , the solution ionic strength.In this estimate of , all conductivity is attributed to NaCl, which admittedly neglects differences in Λ between NaCl and other less abundant constituents such as hydrogen ion, nitrate, citrate, and ascorbate.However, given the measured pH = 3.55 and negligible calculated concentrations of other ions, this estimate is expected to have only a minor impact on the -potential calculation.Therefore, as only minor approximations are necessitated, and considering the constant pH and conductivity observed in the NP solutions, there is little reason to expect that the trend in the magnitude of the DLVO energy barrier should derogate severely from that predicted here.In order to estimate changes in the -potential of Au@Ag nanoparticles as they adsorb R6G, experiments were performed to measure their electrophoretic mobility.In these simple experiments, 50 L injections of nanoparticles were pipetted into a quiescent solution of citrate buffer (adjusted to the same pH and ionic strength as in the optical measurements) in a commercial gel electrophoresis apparatus (EmbiTec Run-One containing only aqueous buffer and no gel).The electrophoretic mobility of the particles was measured under a 64 V/cm electric field by observing the drift of the center of the particle aliquots using a video camera.The resulting mobility was then used to calculate the electrophoretic mobility of the particle specimens and, in turn, to calculate the -potential of the particles by applying the Smoluchowski equation, which relates the zeta-potential () with the electrophoretic mobility (  ): where  is the dynamic viscosity of the dispersion medium, where   = V/, the ratio of drift velocity of the particle to the applied electric field.
The second term in the DLVO expression is the attractive van der Waals interaction energy between particles of radius  and is given by Above  is the Hamaker constant.The interaction between the two particles can be expressed by combining the above described two terms: Using accepted values of  [48], plots of  tot versus distance were made for a variety of  values, which correspond to different measured [R6G].For larger  values, a peak in the energy could be seen as the distance decreases toward contact (Figure 6).This peak is responsible for the stability of the colloid solution, and as  decreases, the peak disappears, and nanoparticle solutions are expected to aggregate.It was found, as expected, that as  decreases, so does the barrier, disappearing near  = 40 mV.Therefore the conclusion that spectral changes are the result of aggregation is supported by DLVO theory as described above.The inset in the upper left corner of Figure 5 illustrates DLVO calculations derived from electrophoretic mobility measurements which allowed us to estimate how the -potential of the particles declined as a function of added R6G in the range corresponding to the abrupt aggregation.
For each [R6G] point in the figure, the approximate barrier to aggregation was computed using DLVO [48].Therefore, our observations of the spectral signature of aggregation appearing abruptly at 1 M are consistent with the above calculations which predict the collapse of Coulombic barrier at this point.
Similarly, MPY SERS and the nanoparticle NIR LSPR are coincident but rise very gradually and continue to rise over three orders of magnitude in [MPY] (Figure 5, middle).In contrast to the above, MBA SERS signals (bottom) are quite weak.But this is not because MBA fails to adsorb to the Au@Ag.It can be deduced that the MBA molecules are adsorbing by examination of the LSPR wavelength ( SPR ) as this value is expected to vary as surface adsorption occurs according to the relationship [50] where  is the intrinsic LSPR dielectric sensitivity, Δ is the difference in refractive index between the adsorbate and the displaced solvent,  is the adsorbate layer thickness, and   is the evanescent wave penetration depth of the plasmonic field.As the coverage of adsorbate reaches unity, Δ value approaches a limit.In Figure 5, the blue triangular symbols indicate Δ SPR and clearly reveal the expected Langmuirian red-shift expected for the adsorption of a layer of MBA.The absolute magnitude of the shift cannot be fully evaluated without more experimentation with Au@Ag nanoparticles.In Figure 7 we address the question of why MBA SERS spectra are so weak despite the obvious structural similarity to MPY and given that intense SERS is reported for MBA in the literature in different settings [51].Our data suggest that, in the setting used, MBA does not trigger aggregation and that the weak SERS signal that we do collect is due to monomeric Au@Ag coated with MBA.This weak signal, plotted in Figure 5 (bottom), shows a limiting case where the aggregate-associated, highly intense SERS does not appearpresumably a dipolar LSPR underpins these signals.The idea that MBA does not induce aggregation is consistent with the negative free particle -potential for these particles.The cationic dye molecules neutralize the negative potential and trigger aggregation, but the anionic MBA does not.On the other hand, it is possible to aggregate the Au@Ag after coating with MBA.To do this, the particles are pretitrated (in a single MBA addition) to [MBA] = 1.7 M, corresponding to nearly full surface coverage based on Δ SPR signal, and then a stepwise titration using KCl as the added titrant is done.KCl is chosen both because of its promotion of SERS signals [18] and because it promotes aggregation by increasing the solution ionic strength.Figure 7 top and middle portions illustrate the SERS intensities and optical extinction spectra as a function of KCl concentration to the Au@Ag [MBA] system.The onset of SERS signals appears abruptly at [KCl] ∼3 mM and quickly peaks at [KCl] ∼20 mM.This very sudden transition is similar to the case of R6G.Optical extinction in the NIR increases in a closely corresponding way, trading intensity from the dipolar plasmon band into aggregate bands over approximately the same range of concentrations.These NP plasmon spectra resemble the MPY progression to a degree, suggestive of an approximately isosbestic point near 560 to 570 nm.All of the above observations suggest that the intense SERS observed is connected to the aggregation state.Since the relative aggregate concentration can be measured approximately by the absorbance in the NIR region, it makes sense to plot the SERS signals as a function of this absorbance.But the SERS intensity data need to be corrected for light attenuation for both the incoming (785 nm excitation) and outgoing (emitted Stokes Raman wavelengths).These corrections to the SERS output intensity were made to compensate for solution absorption of both the 785 nm Raman excitation beam and the Stokes shifted emission and are similar to those described for the correction of primary and secondary absorption effects in fluorescence spectroscopy in the analytical chemistry text by Holler et al. [52] but simplified by consideration of emission intensity arising only from the focal point of the excitation laser.
This approximation is justified by the optical configuration of the Raman probe.The collection optics focus the emission from the laser focal point onto the end of a fiber optic, thereby behaving as a spatial filter and therefore rejecting radiation emanating from other points in space within the cuvette.The calculation is facilitated because, in these experiments, we have made concurrent and in situ measurements of the solution absorption at both  EX = 785 nm and the Stokes Raman wavelength,  EM , for each SERS measurement.The focal point of the 785 nm laser excitation beam lies at a point approximately 6 mm within the solution contained in the cuvette.(This consideration includes the 7 mm focal length of the lens tube minus 1 mm for the cuvette wall and a small setback between the focusing lens and cuvette walls.)Therefore we may confidently compute the attenuation of the input laser experienced in the solution at the focal point, which according to Beer's law is where  EX is molar absorptivity at  EX = 785 nm,  is absorber concentration and  is pathlength in solution,  fp  characterize as a function of added label in the titration experiments.The intensity of the emitting species in the beam focus will be But, we must consider the attenuation of this Raman emission by the solution as it travels from the focus to the collection lens on the Raman probe.This distance is the same as that transited by the excitation beam and the emitted beam is attenuated according to the absorptivity  EM at the Stokes (EM) wavelength yielding a measurable intensity ( Raman The measured attenuated Raman intensity can be related to the emission process at the focus by combining the above: The exponents  EX  and  EM  are derived directly from the concurrently acquired extinction measurements.The power dependence of SERS emission, , is assumed to be 2, consistent with current || 4 models of plasmon field enhancement of the incident and emitted beams [23]. Figure 8 illustrates representative corrected  SERS versus  AGGREGATE (830 nm) measurements for the three analytes.Note that in acquiring these data it is important that the SERS and absorption data are acquired at the same time because of the dynamic nature of the aggregation process.The spectral correction is also crucial as, without it, SERS is lower at high absorbance and exhibits negative deviation from linearity above  > 0.05-0.1.This figure summarizes one of the more strikingly consistent aspects of Au@Ag SERS: the intense SERS signals in this system are clearly in direct proportion to the aggregate absorption bands intensities near 830 nm.

Conclusions
These results underscore the crucial connection between intense SERS and the LSPR signature of aggregation in this colloidal system.This is not surprising, since LSPR connections in surface bound [13] and in the solution phase [40,[53][54][55] have long been known.However, recent singleparticle work has called into serious question the need for farfield observable LSPR [14].In all of the cases observed (aggregation with labels or with KCl), the dipolar LSPR band near 510 nm exchanges intensity with a broad NIR 750-1000 nm band which corresponds to the longitudinal and coupled plasmon resonances of the nanoparticle dimers and aggregates, respectively.What we have established in this paper is that, for the Au@Ag system, aggregation, as measured by the absorbance at ∼830 nm, is consistently connected to the onset and progression of intense SERS.The large enhancement factors that we observed (∼10 6 ) are consistent with the intense SERS being a result of the formation of junction hot spots [30] or higher-order aggregates [13].The presence of a nearly 100-fold increase in the SERS signals between nonaggregated and aggregated (with KCl) particles in the case of the nonaggregating label MBA further supports the aggregate "rule"; in this case relatively weak SERS correlates with LSPR inferred by MBA surface coverage, but intense SERS is only observed following KCl-induced aggregation.

Figure 1 :
Figure 1: Schematic of the experimental apparatus.A fast-stirred fluorescence cuvette is interrogated by both a backscattering Raman probe and a transmission visible extinction probe.The two focal points (Raman and visible) are offset by several mm.

Figure 3 :
Figure3: Raman scattering spectra of titrants (SERS labels) rhodamine 6G (R6G, top), 4-mercaptopyridine (MPY, middle), and 4mercaptobenzoic acid (MBA, bottom) as these are titrated into ca. 1 nM Au@Ag core-shell nanoparticles.Titrant concentrations are as indicated in color bar and range from 1 nM (red) to 1 mM (blue).Peaks are consistent with values reported in the literature[56].The blue arrows indicate the peaks used for SERS integral intensity calculations.

Figure 4 :
Figure 4: Extinction spectra of Au@Ag nanoparticle solutions as a function of added titrants (SERS labels): R6G, top; MPY, middle; and MBA, bottom.Titrant concentrations are color-coded as above and spectra were acquired concurrently with the Raman spectra.

Figure 5 :
Figure 5: Variation of integrated Raman intensity (left scale, red symbols) alongside aggregate-band extinction (right scale, green symbols) as a function of SERS label titrant concentration; R6G (circles, top), MPY (squares, middle), and MBA (triangles, bottom).The bottom panel also includes the wavelength corresponding to variation in  MAX for the localized surface plasmon (blue, triangles).The scale bar indicates a red-shift (up) of 1 nm.The upper left inset shows the variation of computed DLVO barrier to particle aggregation as a function of the estimated -potential for three nanoparticle specimens incubated with different concentrations of R6G (0.0, 0.5, and 1 M).

Figure 6 :
Figure6: The theoretical potential energy relative to kT versus surface separation is plotted below for clean nanoparticles and ones preincubated in 0.5 and 1 M R6G.These clearly show the trend towards aggregation and clearly indicate that aggregation is expected for the 1 M case.

Figure 7 :
Figure 7: In this figure nanoparticle solutions are pretreated with MBA (1.7 M total concentration) and then titrated with KCl.The top panel is Raman scattering spectra of nanoparticles with preadsorbed MBA.The middle panel shows concurrently acquired extinction spectra.Concentrations are color-coded concentration as above, but now indicating KCl ranging from 1 M (red) to 100 mM (blue).The figure at the bottom illustrates the variation of integrated Raman intensity (left scale, red diamonds) and aggregate-band extinction (right scale, green diamonds).The blue arrow indicates the band used in SERS intensity calculations.

0
are the intensities at the focal point and prior to entering the solution.The emitted Raman radiation arising from this focus ( Raman) is transformed into Stokes Raman emission with a certain efficiency proportional to some power, , of the local excitation intensity.This transformation efficiency  will include various factors related to the physical states of the nanoparticle-label systems and is what we desire to

Figure 8 :
Figure 8: In this figure corrected SERS intensities are plotted against the corresponding aggregate extinction data (measured at 830 nm) for R6G (circles), MPY (squares), and MBA titrated with KCl (triangles).R6G and MBA are associated with the right -axis and MPY is associated with the left.

10 −( 10 −
EX  )  10 − EM  .(17)Since our aim in this study is to recover this intrinsic activity term ( fp 0 )  as the solution is titrated and becomes more opaque, we can correct the measured signals by dividing by the attenuation factors to produce an absorption corrected value ( EX  )  10 − EM  .