Skip to main content

Photoluminescence decay rate of silicon nanoparticles modified with gold nanoislands


We investigated plasmon-assisted enhancement of emission from silicon nanoparticles (ncs-Si) embedded into porous SiO x matrix in the 500- to 820-nm wavelength range. In the presence in the near-surface region of gold nanoisland film, ncs-Si exhibited up to twofold luminescence enhancement at emission frequencies that correspond to the plasmon resonance frequency of Au nanoparticles. Enhancement of the photoluminescence (PL) intensity was attributed to coupling with the localized surface plasmons (LSPs) excited in Au nanoparticles and to increase in the radiative decay rate of ncs-Si. It has been shown that spontaneous emission decay rate of ncs-Si modified by thin Au film over the wide emission spectral range was accelerated. The emission decay rate distribution was determined by fitting the experimental decay curves to the stretched exponential model. The observed increase of the PL decay rate distribution width for the Au-coated nc-Si-SiO x sample in comparison with the uncoated one was explained by fluctuations in the surface-plasmon excitation rate.


78. 67. Bf; 78.55.-m


Enhancement of the intensity and emission rate of quantum emitters is of significant interest during the past decade. One of the approaches to enhance luminescence efficiency of low-dimensional materials is to realize the coupling of electronic excitation in quantum dots and wells with the surface plasmons (SPs) supported by metal nanostructures. Metal nanostructures can be of two types: planar metal films and non-planar metal nanostructures such as nanoparticle arrays and thin semicontinuous metal films consisting of disorder-shaped nanostructures. When a planar metal film is placed above a luminescent material, the emission decay rate of it increases due to excitation of the propagating mode surface plasmons [1, 2]. Surface plasmon excitations in bounded geometries such as nanostructured metal particles are localized surface plasmons (LSPs). The resonant excitation of LSPs on the surface of nanostructured metallic particles by an incident light causes strong light scattering and absorption and enhanced local electromagnetic fields [3]. In non-planar metal nanostructures, localized modes of the SPs play an important role in changing the decay rate of luminescent material. The decay rate characteristics for non-planar metal nanostructures are different from those for planar films, e.g., strong dependence of the decay rate on wavelength [4], polarization [5], and fluctuation of decay rate distribution [6]. Changes in the photoluminescence (PL) intensity and the spontaneous decay rate due to deposition of metal nanostructures are observed in a semiconductor nanocrystals and organic materials [79]. It has been shown that the PL intensity of silicon nanocrystals can be considerably enhanced by placing an Ag island array with different sizes and pitches [10]. Further, polarization-selective enhancement of PL was realized by using an anisotropic metal structure [11]. There are no investigations on the effect of metal nanoparticles on the radiative recombination of silicon nanoparticles in anisotropic dielectric matrix. In this paper, we studied the emission decay rate of ncs-Si embedded into the SiO x matrix possessing a porous column-like structure covered with a thin Au film. We show evidence of enhanced radiative recombination in Au-coated nc-Si-SiO x structures resulting from the coupling between ncs-Si and LSPs excited in Au nanoparticles.



The investigated samples were produced by thermal evaporation of Cerac Inc., Milwaukee, WI, USA, silicon monooxide SiО with 99.9% purity in vacuum (the residual pressure (1…2)∙10−3 Pa). During glance angle-SiО deposition, the substrate (polished Si wafer) was oriented at the angle α = 75° between the normal to the substrate surface and the direction to the evaporator. The thickness of oblique deposited films was chosen with the range 400…600 nm. Because of additional oxidation by residual gases during evaporation of SiO, the compositionally non-stoichiometric SiO x (x ~ 1.5) films were deposited in the vacuum chamber. After their deposition, the porous SiO x films were annealed in the vacuum chamber at 975°C for 15 min to grow ncs-Si.

The structure of obliquely deposited SiO x films was studied by SEM apparatus (ZEISS EVO 50XVP, Oberkochen, Germany). In Figure 1a, the cross-sectional view of SiO x film oblique deposited on silicon wafer is shown. As can be seen in the figure, the investigated SiO x films have a porous inclined pillar-like structure with the pillar diameters of 10 to 100 nm. The porosity of films depends on the angle of deposition and equals to 53% for α = 75°. High-temperature annealing of these films does not change the porosity and pillar-like structure of the samples [12].

Figure 1
figure 1

Cross-section view and AFM topology. (a) SEM micrograph of SiO x film cross-section and (b) AFM topology of the surface of 5 nm gold film annealed at 450°C.

The obtained nc-Si-SiO x structures were passivated in the HF vapor, which results in the enhancement of the PL intensity by approximately 200 times [13]. Thin Au layers were deposited on one part of the passivated nc-Si-SiO x structures by thermal evaporation and then annealed at 450°C in vacuum. The mass thickness of the Au layers was about 5 nm. Studying topology of the Au layers was carried out with an atomic force microscope (AFM) NanoScope IIIa (produced by Digital Instrument, Tonawanda, NY, USA). An axonometric AFM image of the Au layer surface is presented in Figure 1b. One can see that the Au layer is semicontinuous and consists of nanoislands.

The photoluminescence spectra were recorded at room temperature using a system based on a ZMR-2 monochromator equipped by a photomultiplier tube and detection system. The PL spectra were normalized to the spectral sensitivity of the experimental system. The PL signal was excited by radiation of a N2 laser at the wavelength 337 nm. The excitation and detection of PL emission was carried out through the front side of samples. In PL spectra, we took into account the transmittance of exciting light and PL emission through an Au film. The absorbance properties of reference Au films, evaporated on glass substrates, were investigated by means of transmission and reflection measurements by using the spectrometer NanoPlasmon-2048 VIS, Boston, MA, USA.

Decay curve measurements were performed using the N2 laser with the pulse duration 9 ns and pulsed oscillograph C1-54. The system time resolution was 0.5 μs.

Results and discussion

To understand the effect of Au nanoparticles on the PL emission of ncs-Si embedded into SiO x matrix, we measured the PL spectra of nc-Si-SiO x structures with and without thin Au layer. Figure 2 shows the PL spectrum of the nc-Si-SiO x structures uncoated (a) and coated (b) by Au film. The uncoated nc-Si-SiO x structure exhibits strong PL emission within the wavelength range 500 to 820 nm with a peak near 660 nm, which could be attributed to exciton recombination in ncs-Si [14]. A more than twofold increase of the PL intensity from the structure covered with Au layer was clearly observed. A maximum PL enhancement factor of 2.2 was observed at 640…660 nm (after taking into account the transmittance of exciting light and PL emission through the Au film).

Figure 2
figure 2

PL spectra of nc-Si-SiO x structures. (a) Without Au layer, (b) with Au 5 nm layer, and (c) absorbance spectra for Au 5 nm film, annealed at 450°C.

Figure 2c shows absorbance spectra of Au layer evaporated on glass substrate simultaneously with that evaporated on the nc-Si-SiO x structure. The absorbance spectra of Au film presented the typical wide absorption band in the visible region of the spectrum. Maximum of this band at 640…660 nm corresponds to the resonance of the LSPs excited in Au nanoparticles [15]. Close peak positions of the ncs-Si emission and absorption of Au nanoparticles indicate that excitons generated in ncs-Si could effectively couple to electron vibrations at the surface of Au nanoparticles because the emission frequency is matched to the plasmon resonance one. The PL enhancement can arise from the increased external quantum efficiency of ncs-Si PL (correlates to an increase of the radiative decay rate). When exciton dipole moment of nc-Si strongly couple to the local electric field of LSPs in Au layer, the nc-Si-LSP coupling, according to Fermi's golden rule, increases the radiative recombination rate [16, 17], resulting in increase of radiative efficiency. A more direct demonstration of enhanced exciton recombination involved comparative measurements of the PL decay rate from investigated structures.

Time-resolved PL measurements were performed using the same luminescent uncoated and Au-coated nc-Si-SiO x samples. Figure 3 shows the ncs-Si PL decay curve measured for the uncoated (a) and Au-coated (b) nc-Si-SiO x samples at 660 nm. One can see that the PL decay of the Au-coated samples is accelerated as compared to that in the uncoated ones. All experimental curves of PL decay might be described well by a stretched exponential function:

I PL t = C t β 1 exp t τ 0 β

where C, τ0, and β are a constant, decay time, and stretched parameter ( 0 < β ≤ 1), respectively. It is known that this model is widely used for the decay curve analysis of Si nanocrystals [18]. The least squares fit of Equation 1 to experimental data brings values of τ0 and β. The obtained decay times τ0 were equal to 16 and 5.2 μs for uncoated and Au-coated nc-Si-SiO x samples, respectively. It was determined also that the dispersion parameter β for nc-Si-SiO x structures without and with the gold layer decreased from 0.76 to 0.53, respectively. The latter β value corresponds to a larger distribution width of decay rates for Au-nc-Si-SiO x interface. In the case of stretched exponential relaxation function, the PL decay might be analyzed more thoroughly by recovering the distribution of recombination rates [18]. So, having the constants of τ0 and β, taken from experimental data fit to (1), it is possible to obtain the average decay time constant < τ>, which can be defined by:

τ = τ 0 β 1 Ã β 1

where Г is the gamma function. The average decay times < τ > were equal to 18.9 μs for the uncoated and 9.4 μs for Au-coated samples. It is seen that the parameter β and decay time decrease for nc-Si-SiO x structures coated with Au layer. Accordingly, the decay rate (k = τ0−1) at 660 nm is increased from 6.25 × 104 s−1 for uncoated to 19.2 × 104 s−1 for the Au-coated samples, an enhancement by a factor approximately 3.

Figure 3
figure 3

PL decay curves measured at λ= 660 nm. (a) nc-Si-SiO x structure not covered with Au layer; (b) nc-Si-SiO x structure covered with Au 5 nm layer.

In order to investigate the wavelength dependence of the decay rates, we measured PL decay curves in a whole emission wavelength range. These results are shown in Figure 4. The decay rate increases as the emission wavelength is shortened both for uncoated (a) and the Au-coated (b) nc-Si-SiO x samples due to the quantum size effect.

Figure 4
figure 4

Wavelength dependence of the PL decay rates of nc-Si-SiO x structure. Without Au layer (solid squares) and with Au layer (open circles). Dashed curve is PL spectra of nc-Si-SiO x structure.

Using the values of τ0 and β measured at λ = 660 nm, we calculated the asymptotic form of the decay rates probability density function Ф(k) that may be obtained by the saddle point method [19]:

Ф k = 2 πβ 1 a / 2 exp a

where a = β(1 − β)−1 and τ = τ0[β(1 − β)1/a]−1. Figure 5 shows the Ф(k) distributions calculated from Equation 3 for nc-Si-SiO x and Au-nc-Si-SiO x samples. We can see increase in the decay rate distribution width for the Au-coated nc-Si-SiO x sample in comparison with the uncoated one. A possible reason of the Ф(k) broadening may be the uncertainty in the distance between deposited Au nanoparticles and nc-Si embedded into porous SiO x matrix because the surface of the HF vapor-etched nc-Si-SiO x layer has a significant roughness. Such an uncertainty in the metal-emitter distance could lead to fluctuations in the local density of optical states (LDOS). This is because the change in the LDOS, due to the surface plasmon excitation, is strongly dependent on this distance [20], i.e., the excitation rate of LSPs could be largely influenced by the uncertainty in the metal-emitter distance. Therefore, the larger decay rate fluctuation is attributed to the fluctuations in the surface-plasmon excitation rate.

Figure 5
figure 5

Decay rate distributions of nc-Si-SiO x structures with and without Au 5 nm layer.

Other model used for the statistical analysis of the time-resolved emission from the assembly of semiconductor quantum dots was proposed by van Driel et al. [21], which takes into consideration the log-normal distribution of decay rates. This model was used under studies of spontaneous emission decay rate, an assembly of Si nanocrystals in porous silicon (PSi) near semicontinuous gold films [22]. For the Au/PSi samples, the log-normal model gave a good fit with the experimental dates. It has been shown that PL decay rates also strongly modified upon deposition of a thin Au film. The decay rate fluctuation in Au/PSi samples was related to the fluctuations in the LDOS.


We investigated the photoluminescence spectra of the silicon nanoparticles, embedded into porous SiO x matrix, coated by Au-nanoisland layer. It has been shown that the spontaneous emission decay rate of the excited ncs-Si in the sample coated by Au nanoislands was accelerated. Close peak positions of the nc-Si emission and absorption of Au nanoparticles indicate that excitons generated in ncs-Si could effectively couple to the local surface plasmons excited at the surface of Au nanoparticles and increase the radiative recombination rate. We studied also the wavelength dependence of the PL decay rates in the samples with and without Au layer. The emission decay rate distribution was determined by fitting of the experimental decay curves within frameworks of the stretched exponential model. It was supposed that for the Au-coated nc-Si-SiO x samples, the larger width in the decay rate distribution might be attributed to the fluctuations in the surface-plasmon excitation rate due to the uncertainty in the metal-emitter distance.



atomic force microscope


local density of optical states


localized surface plasmons




scanning electron microscopy


surface plasmons.


  1. Barnes WL: Fluorescence near interfaces: the role of photonic mode. J Mod Opt Mod Phys 1998, 45: 661–699. 10.1080/09500349808230614

    Article  Google Scholar 

  2. Ford GW, Weber WH: Electromagnetic interactions of molecules with metal surfaces. Phys Rep 1984, 113: 195–287. 10.1016/0370-1573(84)90098-X

    Article  Google Scholar 

  3. Kim BH, Cho CH, Mun JS, Kwon MK, Park TY, Kim JS, Byeon CC, Lee J, Park SJ: Enhancement of the external quantum efficiency of a silicon quantum dot light-emitting diode by localized surface plasmons. Adv Mater 2008, 20: 3100–3103. 10.1002/adma.200703096

    Article  Google Scholar 

  4. Garoff S, Weitz DA, Gersten JI: Electrodynamics at rough metal surfaces: photochemistry and luminescence of absorbates near metal island films. J Chem Phys 1984, 81: 5189–5200. 10.1063/1.447466

    Article  Google Scholar 

  5. Wang Y, Yang T, Tuominen MT, Acherman M: Radiative rate enhancement in ensembles of hybrid metal–semiconductor nanostructures. Phys Rev 2009, 102: 163001.

    Google Scholar 

  6. Krachmalnicoff V, Castanie E, Wilde De Y, Carminati R: Fluctuations of the local density of states probe localized surface plasmons on disordered metal films. Phys Rev Lett 2010, 105: 183901.

    Article  Google Scholar 

  7. Lyyke AM, Stobbe S, Sondberg SA, Lodahl P: Strongly modified plasmon-matter interaction with mesocopic quantum emitters. Nat Phys 2010, 7: 215–218.

    Google Scholar 

  8. Munechika K, Chen Y, Tillack AF, Kulkarni AP, Plante IJ-L, Ginger DS: Spectral control of plasmonic emission enhancement from quantum dots near single silver nanoprisms. Nano Lett 2010, 10: 2598–2603. 10.1021/nl101281a

    Article  Google Scholar 

  9. Lakowicz JR, Shen Y, Auria SD, Malicka J, Fang J, Gryczynski Z, Gryczynski I: Radiative decay engineering: 2. Effect of silver island films on fluorescence intensity, lifetimes and resonance energy transfer. Anal Biochem 2002, 277: 261–277.

    Article  Google Scholar 

  10. Biteen JS, Lewis N, Atwater HA, Mertens H, Polman A: Spectral tuning of plasmon-enhanced silicon quantum dot luminescence. Appl Phys Lett 2006, 88: 131109. 10.1063/1.2191411

    Article  Google Scholar 

  11. Mertens H, Biteen JS, Atwater HA, Polman A: Polarization selective plasmon-enhanced silicon quantum dot luminescence. Nano Lett 2006, 6: 2622–2625. 10.1021/nl061494m

    Article  Google Scholar 

  12. Indutnyy IZ, Maidanchuk IY, Min’ko NI: Visible photoluminescence from annealed porous SiOx films. Optoelectron and Adv Mater 2005, 7: 1231–1236.

    Google Scholar 

  13. Dan’ko VA, Bratus’ VY, Indutnyi IZ, Lisovskyy IP, Zlobin SO, Michailovska KV, Shepeliavyi PE: Controlling the photoluminescence spectra of porous nc-Si–SiOx structures by vapor treatment. Semicond Phys Quantum Electron Optoelectron 2010, 13: 413–417.

    Google Scholar 

  14. Heitmann J, Muller F, Yi L, Zacharias M, Kovalev D, Eichhorn F: Excitons in Si nanocrystals: confinement and migration effect. Phys Rev B 2004, 69: 195309.

    Article  Google Scholar 

  15. Kim JI, Jung DR, Kim J, Nahm C, Byun S, Lee S, Park B: Surface-plasmon-coupled photoluminescence from CdS nanoparticles with Au film. Solid State Commun 2012, 152: 1767–1770. 10.1016/j.ssc.2012.05.008

    Article  Google Scholar 

  16. Fermi E: Quantum theory of radiation. Rev Mod Phys 1932, 4: 87–132. 10.1103/RevModPhys.4.87

    Article  Google Scholar 

  17. Delerue C, Allan G, Reynaud C, Guillois O, Ledoux G, Huisken F: Multiexponential photoluminescence decay in indirect-gap semiconductor nanocrystals. Phys Rev B 2006, 73: 235318.

    Article  Google Scholar 

  18. Zatrub G, Podhorodecki A, Misiewicz J, Cardin J, Gourbilleau F: On the nature of the stretched exponential plotoluminescence decay for silicon nanocrystals. Nanoscale Res Lett 2011, 6: 106. 10.1186/1556-276X-6-106

    Article  Google Scholar 

  19. Saito R, Murayama K: A universal distribution function of relaxation in amorphous materials. Solid State Commun 1987, 63: 625. 10.1016/0038-1098(87)90867-2

    Article  Google Scholar 

  20. Novotny L, Hecht B: Principles of Nano-Optics. Cambridge: Cambridge University Press; 2013:564.

    Google Scholar 

  21. Van Driel A, Nicolaev I, Vergeer P, Lodahl P, Vanmaekelbergh D, Vos W: Statistical analysis of time-resolved emission from ensembles of semiconductor quantum dots: interpretation of exponential decay models. Phys Rev B 2007, 75: 035329.

    Article  Google Scholar 

  22. Nakamura T, Tiwari B, Adachi S: Strongly modified spontaneous emission decay rate of silicon nanocrystals near semicontinuous gold films. Opt Express 2012, 20: 26548. 10.1364/OE.20.026548

    Article  Google Scholar 

Download references


Authors are grateful to Dr. O.S. Litvin for the AFM measurements and V. Litvin for the optical measurements.

Author information

Authors and Affiliations


Corresponding author

Correspondence to Viktor Dan’ko.

Additional information

Competing interests

The authors declare that they have no competing interests.

Authors’ contributions

The idea of the study was conceived by VD and II. PS and II produced investigated structure. KM performed the photoluminescence measurements as well as calculation and initiated the first draft of the manuscript. All authors read and approved the final manuscript.

Authors’ original submitted files for images

Rights and permissions

Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Reprints and Permissions

About this article

Cite this article

Dan’ko, V., Michailovska, K., Indutnyi, I. et al. Photoluminescence decay rate of silicon nanoparticles modified with gold nanoislands. Nanoscale Res Lett 9, 165 (2014).

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI:


  • Si nanoparticle
  • Nanostructure
  • Photoluminescence
  • Localized surface plasmon
  • Plasmon-induced enhancement
  • Nanoisland film