1. Introduction
Gold nanoparticles (NPs) have emerged as a central figure in the advancement of nanotechnology and materials science, owing to their unique optical properties, particularly the phenomenon of localized surface plasmon resonance (LSPR) [
1]. This phenomenon, which results from the collective oscillation of conduction band electrons in gold NPs under light excitation, has fueled extensive research due to its potential applications across a broad spectrum of fields including photonics, optoelectronics, biomedicine, and sensing technologies [
2,
3]. The optical properties of gold NPs, such as their absorption and scattering spectra, are governed by LSPR, which can be finely tuned across the visible and near-infrared spectrum by adjusting the NPs' physical parameters. Research has shown that the size of gold NPs plays a critical role in determining their LSPR characteristics, with smaller particles predominantly absorbing light and larger particles scattering it. For instance, it was demonstrated that the LSPR wavelength redshifts as the size of the gold nanosphere increases, highlighting the tunability of NPs for specific applications based on size adjustments alone [
4]. Furthermore, the shape of gold NPs significantly impacts their optical properties, with non-spherical nanoparticles such as rods, triangles, and stars exhibiting multiple plasmon resonance peaks corresponding to their various geometrical features. It was shown that shape and geometry of gold nanorods influence their optical absorption and local field enhancement, crucial for applications in surface-enhanced Raman spectroscopy [
5]. The surrounding dielectric environment also modifies the LSPR of gold NPs, affecting their optical sensitivity and enabling the design of environment-responsive systems. Djorović et al. introduced a method to enhance the characterization of gold NPs through the measurement of the extinction to absorption ratio, offering a new way to assess the volume and dielectric function of NPs with increased accuracy [
6].
This tunability of the LSPR, coupled with the strong electromagnetic field enhancement near the nanoparticle surface, makes gold NPs ideal candidates for enhancing the performance of photonic devices especially in the field of the new optical media [
7]. The enhancement of rare earth ions (REI) luminescence through the LSPR of gold NPs presents a sophisticated interplay of multifactorial dependencies critical for the advancement of photonic and optoelectronic devices. This enhancement process is primarily governed by the energy overlap between the LSPR of the gold NPs and the absorption energies of the REI, which are suitable for their excitation [
8]. Hence the precise tuning of the LSPR band for specific REI is crucial for the development of advanced optical materials.
One of the most perfect media for the development of optical materials utilizing the advantages of gold NPs and REI interactions is glass. The incorporation of gold NPs into glass matrices provides a promising platform for exploiting the LSPR phenomena, enabling novel applications in optics, sensing, and photonics [
9]. Hence, beyond their aesthetic appeal, glasses embedded with gold NPs have garnered significant interest for applications in photonics and nonlinear optics [
10,
11]. The integration of gold NPs into glasses combines the desirable mechanical and chemical properties of the glass with the unique plasmonic properties of the NPs. This synergy is being explored for the development of efficient laser materials, for enhancing the third-order nonlinear optical susceptibility and for surface-enhanced Raman spectroscopy. As in the other media, the efficacy of these applications of gold NPs formed in glass is critically dependent on the characteristics of the LSPR band, which in turn are influenced by the abovementioned factors. Recent experiments have demonstrated the formation of gold NPs in glass with a red-shifted LSPR band in different glass systems [
12,
13,
14]. Laser irradiation of glass also marking a significant leap forward in the domain of the formation of NPs with tunable LSPR band [
15,
16,
17]. These studies collectively underline the significant potential of gold NPs in glass matrices for enhancing and manipulating LSPR for various technological applications. But the ability to tune the plasmonic properties of NPs in a wide range remains a challenge, the solution to which can open new opportunities for the development of advanced optical devices and sensors, exploiting on the unique interactions between light and matter at the nanoscale.
Hence, in this study, for the first time we explored the potential of gold NPs precipitatation in ZnO-Al2O3-SiO2 glass and showed the possibility to generate ultra-broad LSPR band. Obtained results allowed us to suggest a scenario responsible for such abnormal LSPR band broadening which includes possible interparticle plasmonic coupling effect taking place during the liquid-liquid phase separation of the glass under heat treatment. The formation of gold NPs with an ultra-broad LSPR band in glasses holds promise for sensitizing rare earth ion luminescence for new photonics devices.
4. Discussion
The analysis of the obtained results allows us to conclude that in this work during the heat treatment of ZAS glass containing Au additives it was possible to form gold NPs, which have an ultra-wide LSPR band (over 1000 nm), while changing the parameters of heat treatment allows to vary the shape and position of the band. In our opinion, these results are of interest both from the fundamental scientific point of view and can find certain practical applications. However, it is also important to determine the mechanism responsible for such a change in optical properties.
The factors that influence the change in the shape and position of the LSPR band of metal nanoparticles (Au, Ag, Cu) in glasses include: (i) change in the size of nanoparticles; (ii) change in the shape of nanoparticles; (iii) change in the refractive index of the medium around the nanoparticle; and (iv) the presence of interactions between closely spaced nanoparticles. Each of these factors is further discussed in detail below.
(i) It is known that an increase in the size of nanoparticles in glass leads to a change in the color of the glass caused by an increase in the intensity and a change in the shape of the LSPR band, as well as a shift of the band maximum to the red region of the spectrum [
11,
29]. Thus, in many works using different glass-forming systems it was shown that with increasing the temperature of glass treatment, there is a process of increasing the size of NPs and the associated first increase in the intensity and then the red shift of the LSPR band [
29,
30,
31]. In [
14] it was shown that increasing the size of gold NPs formed in tellurite glass leads to both broadening of the LSPR band and the manifestation of a dichroism effect similar in description to that obtained in our work. At the same time, in our work, despite the fact that the TEM data (
Figure 5 and
Figure 9) shows an increase in the size of gold NPs with an increasing treatment temperature, the dynamics of the change in the position and shape of the LSPR bands do not correspond to the previously described results. Moreover, the results of the calculations of the LSPR band of a gold NPs in ZAS glass medium does not describe the experimental spectra in any way.
Figure 11 shows that despite of the nanoparticle size the calculated spectra are way far from the experimental results. Thus, only the change in the size of gold NPs in the process of heat treatment does not allow us to describe the mechanism of ultra-broadening of the LSPR band.
(ii) Changing the shape of NPs to a shape other than spherical has a significant effect on the LSPR band and the position of the LSPR maximum: elongated particles are characterized by splitting of the LSPR band into two components (with two maxima - in the short-wave and long-wave regions of the spectrum), which become dependent on the polarization of the incident light [
32,
33]. The formation of elongated NPs in glasses has been demonstrated using a variety of systems and methods, including mechanical deformation of glasses in which spherical NPs are formed [
34,
35,
36] and as a result of intensive laser irradiation of glasses with NPs [
37,
38]. In a series of papers by Som T. and Karmakar B. Sb
2O
3-based glasses with elliptical gold NPs with aspect ratios from 1.2 to 2.1 were synthesized. The glasses exhibited a dichroism effect similar to that described in our work, the LSPR band for compositions with high Au content in the cited works was broadened, the band maximum shifted to the red region, and no splitting of the band into two components was observed. The authors attribute the mechanism of deformation of gold NPs to the high viscosity of the glass melt, without providing additional explanations, the authors also do not provide the calculated spectra of the LSPR bands for the experimentally determined sizes of NPs, so it is not possible to validate the proposed model [
25,
39]. Analysis of TEM images in our work demonstrates that the shape of most NPs is close to spherical and the presence of elongated or elliptical particles could not be detected. Fitting of the experimental spectrum of sample 780-20 with elliptical particles (
Figure 11 bottom panel) allows us to describe the spectrum, but the size of NPs corresponding to the calculated spectrum should be larger than 58 nm with aspect ratio of 1.63, which is not confirmed by the TEM data, as well as by the data of XRD and Raman spectroscopy, since presence of such large particles should be detected in X-ray diffraction patterns and Raman spectra, which was not observed experimentally (
Figure 3).
(iii) The refractive index of the medium around NPs has a great influence on the position of the LSPR band: as the refractive index increases, the maximum of the band shifts to the red region of the spectrum; this effect is the basis for sensors that can detect trace amounts of substances [
40]. Using this effect, noble metal NPs were synthesized in amorphous films based on SiO
2 containing different content of oxides with high refractive index (TiO
2, ZrO
2). At the same time, the position of the LSPR band maximum in these NPs was tuned in the range up to 600 nm by varying the content of oxides with high refractive index, thus changing the average value of the refractive index of the medium around NPs [
41,
42]. Moreover, based on this effect, in our previous works [
43,
44] we have shown the possibility of tuning the position of the maximum of the LSPR band of gold NPs in glasses of the ZnO-MgO-Al
2O
3-SiO
2 system containing TiO
2 and ZrO
2 additives. During the heat treatment in glasses along with the growth of NPs, at first the processes of phase separation took place with the formation of amorphized zones enriched in TiO
2 and ZrO
2 (components with high refractive index), and with further increase in the temperature of treatment, ZnAl
2O
4 crystals were formed in glasses, while TiO
2 and ZrO
2 components were uniformly distributed in the matrix. Amorphized zones enriched in TiO
2 and ZrO
2 increased the local refractive index of the medium around NPs, which influenced the position of the LSPR band, the maximum of which was shifted by more than 100 nm to the red region of the spectrum.
The analysis of TEM images in the current work also demonstrates the presence of phase separation zones (
Figure 6 and
Figure 7), but due to the fact that the glass composition does not contain TiO
2 and ZrO
2, the chemical composition of the liquation zones seems to be enriched only in ZnO [
28]. The refractive index n
D for ZnO is in the range of 1.6-1.78 according to the research data [
45,
46], which is not very different from the refractive index value for glass (n
D = 1.569), but at the same time may have an effect on the LSPR band shift. The variation of the refraction index in the simulated optical spectra lead to very high values, above 2.0 (
Figure 11 middle panel). Such a high refraction index values are not expected in the glass under the study, since the densest component, ZnO has refraction index not higher than 2.0, but this phenomenon may have a partial effect on the overall LSPR band.
(iv) The interaction between closely spaced plasmonic NPs can also be considered as a factor that has a great influence on the optical properties of the whole system [
47]. It was experimentally demonstrated that a systematic change in the distance between gold NPs on the SiO
2 surface from 15 to 0.5 nm leads to a nonlinear broadening of the LSPR band: at a minimum distance, the dipole-dipole interaction between gold NPs leads to a maximum broadening of the band [
48], the authors showed that such a system is well described within the Maxwell-Garnett theory. In other work gold NPs formed by a femtosecond laser beam on an Al
2O
3 substrate showed a broadened LSPR band at the highest irradiation energies, which was also explained by the reduction of the distance between NPs and their intense dipole-dipole interaction [
49]. Jiménez, J. A. et al. in a series of works on the example of phosphate glasses containing NPs of silver, gold and copper, also described the effect of nonlinear broadening of the LSPR band in the framework of dipole and plasmonic interaction of closely spaced NPs [
22,
23,
50]. For these glasses, the authors also described a dichroism effect similar to the effect obtained in the glasses in this work. Laser irradiation of the initial glass with NPs acted as a driver for the formation of zones with increased content of closely located silver NPs, which led to the formation of "super-nucleation" domains separated by amorphous zones of 15-20 nm in size, not containing NPs [
50].
A comparative analysis of the change in the position of the LSPR band of the studied glass samples heat-treated for 20 h, as well as their calculated sizes and distances between the particles depending on the treatment temperature is shown in
Figure 12. It can be seen that the shift of the maximum of the LSPR band from ≈ 1100 nm to ≈ 600 nm with increasing treatment temperature is accompanied by an increase in both NPs sizes and distances between them. This suggests that the observed in this work effect of ultra-broadening of the LSPR band in glasses can be related to the plasmonic interaction between closely spaced NPs.
To verify this hypothesis, we calculated the optical absorption spectra for agglomerates of NPs using multiple spheres T-matrix approach as it implemented in MSTM code [
51,
52]. In the calculations, the NPs were represented as spheres with dielectric function calculated by the Riuox formula [
53] in a media with refraction index of 1.6. To simulate the closely packed agglomerate, the centers of the spheres were located at the nodes of a face-centered lattice with spacing so that the gap between NPs is 1 nm. The size of the NPs of 10 nm and the gap between them of 1 nm were selected as a smallest possible value for which the classical electrodynamic calculations are valid. The consideration of smaller sizes requires an application of size-corrected dielectric functions and smaller gaps lead to the rise of electron tunneling.
Figure 13a shows the results of calculations of the absorption spectra of an isolated gold NPs of 10 nm and agglomerates of NPs of the same size containing 19, 43 and 87 NPs. It can be seen that as the number of particles in the agglomerate increases from 1 to 87, there is a shift of the main absorption maximum. However, the magnitude of this shift is of the order of 50 nm, which does not allow us to describe the observed shifts in resonance from 600 to 750 nm or more. However, in addition to the shift in the position of the main peak, a tendency to decrease its intensity and increase the intensity of the satellite long-wavelength peak as the number of NPs in the agglomerate increases is noticeable. In case of agglomerate of 87 NPs, the intensities of these peaks are equalized. The trend is such that as the number of NPs in the agglomerate increases, one would expect to reproduce the experimental curve. However, the quantitative description requires too extensive computation resources. Nevertheless, based on the obtained data, we assume that the agglomeration of NPs may be the main contributor to the visible splitting of the LSPR bands and their significant broadening.
Figure 13b compares the absorption and scattering spectra calculated for isolated nanoparticle and agglomerate of 87 nanoparticles. The wavelength position of absorption and scattering peaks are almost identical, so that there is no difference in transmitted and reflected color of the sample. In contrast, the scattering and absorption spectra for agglomerates are very different, which alters the color of material depending on the sample illumination. This explains the observed dichroism of the samples by the presence of closely packed agglomerates of nanoparticles.
Thus, the scenario of changes in the optical properties of glasses observed in this work can be explained as follows. Phase separation processes take place in glass during the heat treatment in a narrow temperature range. As a result, formation of localized amorphous regions of the order of 15 nm in size, enriched apparently in ZnO occur. In these regions the formation of NPs can be energetically more favorable, so it leads to the formation of a kind of "plasmonic domains" with a high concentration of closely located particles, which is expressed in their plasmonic interaction and broadening of the LSPR spectrum. The presence of high concentrations of ZnO inside the domains can also lead to an increase in the local refractive index around the nanoparticles and an additional redshift of the band. As the treatment temperature increases, the phase separation process is gradually replaced by the process of nucleation and growth of the crystalline phase, in connection with which the "plasmonic domains" disintegrate and the distance between the nanoparticles increases, which leads to a decrease in the plasmonic interaction effect and is expressed in the narrowing and blue shift of the LSPR band. At the same time, the increasing dichroism effect in the glass samples obtained by heat treatment at higher temperature seems to be also related to the interactions between nanoparticles as well as formed nanocrystals of ZAS s.s. phase.
Figure 1.
Absorption spectra of the raw glass and glasses heat-treated in the 800-850 °C range for 5 h. Insets show visual appearance of glasses treated at 800 and 850 °C in transmitted and reflected light (left and right panel respectively). Each glass sample size is ≈ 1 cm x 1 cm.
Figure 1.
Absorption spectra of the raw glass and glasses heat-treated in the 800-850 °C range for 5 h. Insets show visual appearance of glasses treated at 800 and 850 °C in transmitted and reflected light (left and right panel respectively). Each glass sample size is ≈ 1 cm x 1 cm.
Figure 2.
Absorption spectra of the raw glass and glasses heat-treated in the 750-820 °C range for 20 h. Insets show visual appearance of glasses treated at 800 and 815 °C in transmitted and reflected light (left and right panel respectively). Each glass sample size is ≈ 1 cm x 1 cm.
Figure 2.
Absorption spectra of the raw glass and glasses heat-treated in the 750-820 °C range for 20 h. Insets show visual appearance of glasses treated at 800 and 815 °C in transmitted and reflected light (left and right panel respectively). Each glass sample size is ≈ 1 cm x 1 cm.
Figure 3.
XRD patterns glasses heat-treated heat treated for 5 h (a) and 20 h (b); Raman spectra of raw glass and glasses heat treated for 5 h (c) and 20 h (d). Heat treatment temperatures are indicated.
Figure 3.
XRD patterns glasses heat-treated heat treated for 5 h (a) and 20 h (b); Raman spectra of raw glass and glasses heat treated for 5 h (c) and 20 h (d). Heat treatment temperatures are indicated.
Figure 4.
TEM and HRTEM images of glass samples heat treated for 5 h at 815 °C (a) and 850 °C (b). Insets show enlarged images and Fourier-filtered images of the marked zones with corresponded numbers.
Figure 4.
TEM and HRTEM images of glass samples heat treated for 5 h at 815 °C (a) and 850 °C (b). Insets show enlarged images and Fourier-filtered images of the marked zones with corresponded numbers.
Figure 5.
Particle size distribution (a-c) and interparticle distance (d-f) obtained from the TEM images of the glass samples treated for 5 h at 800, 815 and 850 °C (from left to right).
Figure 5.
Particle size distribution (a-c) and interparticle distance (d-f) obtained from the TEM images of the glass samples treated for 5 h at 800, 815 and 850 °C (from left to right).
Figure 6.
TEM and HRTEM images of glass samples heat-treated for 20 h at 800 °C. Insets show enlarged images and Fourier filtered images of the marked zones with corresponded numbers.
Figure 6.
TEM and HRTEM images of glass samples heat-treated for 20 h at 800 °C. Insets show enlarged images and Fourier filtered images of the marked zones with corresponded numbers.
Figure 7.
TEM and HRTEM images of glass samples heat treated for 20 h at 810 °C. Insets show enlarged images and Fourier filtered images of the marked zones with corresponded numbers.
Figure 7.
TEM and HRTEM images of glass samples heat treated for 20 h at 810 °C. Insets show enlarged images and Fourier filtered images of the marked zones with corresponded numbers.
Figure 8.
TEM and HRTEM images of glass samples heat treated for 20 h at 815 °C. Insets show enlarged images and Fourier filtered images of the marked zones with corresponded numbers.
Figure 8.
TEM and HRTEM images of glass samples heat treated for 20 h at 815 °C. Insets show enlarged images and Fourier filtered images of the marked zones with corresponded numbers.
Figure 9.
Particle size distribution (a-c) and interparticle distance (d-f) obtained from the TEM images of the glass samples treated for 20 h at 800, 810 and 815 °C (from left to right).
Figure 9.
Particle size distribution (a-c) and interparticle distance (d-f) obtained from the TEM images of the glass samples treated for 20 h at 800, 810 and 815 °C (from left to right).
Figure 11.
The comparison of experimental absorption spectrum of the sample 780-20 (blue dots) with calculated spectra for different models of single gold nanoparticles: top panel – 50 nm spherical particle (red dashes) and 10 nm spherical particle (solid red) both in the in matrix with nD = 1.6; middle panel – 50 nm spherical particle (purple dashed) and 10 nm spherical particle (solid purple) both in the in matrix with nD = 2.0; bottom panel – 60 nm oblate spheroid particle and 10 nm oblate spheroid particle both in the in matrix with nD = 1.6. The smaller 10 nm particles cannot explain the experimental data, while big particles (50-60 nm) able to describe the experiment, but does not present in the sample.
Figure 11.
The comparison of experimental absorption spectrum of the sample 780-20 (blue dots) with calculated spectra for different models of single gold nanoparticles: top panel – 50 nm spherical particle (red dashes) and 10 nm spherical particle (solid red) both in the in matrix with nD = 1.6; middle panel – 50 nm spherical particle (purple dashed) and 10 nm spherical particle (solid purple) both in the in matrix with nD = 2.0; bottom panel – 60 nm oblate spheroid particle and 10 nm oblate spheroid particle both in the in matrix with nD = 1.6. The smaller 10 nm particles cannot explain the experimental data, while big particles (50-60 nm) able to describe the experiment, but does not present in the sample.
Figure 12.
Evolution with the heat treatment temperature at 20 h of the following parameters: LSPR band peak position (squares), particle size (triangles) and interparticle distance (circles).
Figure 12.
Evolution with the heat treatment temperature at 20 h of the following parameters: LSPR band peak position (squares), particle size (triangles) and interparticle distance (circles).
Figure 13.
(a) Absorption efficiencies calculated for isolated gold nanoparticle and agglomerates containing 19, 43, or 87 nanoparticles. (b) Absorption and scattering efficiencies calculated for agglomerate of 87 nanoparticles (solid curves) and isolated nanoparticle (short dashes).
Figure 13.
(a) Absorption efficiencies calculated for isolated gold nanoparticle and agglomerates containing 19, 43, or 87 nanoparticles. (b) Absorption and scattering efficiencies calculated for agglomerate of 87 nanoparticles (solid curves) and isolated nanoparticle (short dashes).