Excitonic Transitions and Off-resonant Optical Limiting in CdS Quantum Dots Stabilized in a Synthetic Glue Matrix
Stable films containing CdS quantum dots of mean size 3.4 nm embedded in a solid host matrix are prepared using a room temperature chemical route of synthesis. CdS/synthetic glue nanocomposites are characterized using high resolution transmission electron microscopy, infrared spectroscopy, differential scanning calorimetry and thermogravimetric analysis. Significant blue shift from the bulk absorption edge is observed in optical absorption as well as photoacoustic spectra indicating strong quantum confinement. The exciton transitions are better resolved in photoacoustic spectroscopy compared to optical absorption spectroscopy. We assign the first four bands observed in photoacoustic spectroscopy to 1s e –1s h , 1p e –1p h , 1d e –1d h and 2p e –2p h transitions using a non interacting particle model. Nonlinear absorption studies are done using z-scan technique with nanosecond pulses in the off resonant regime. The origin of optical limiting is predominantly two photon absorption mechanism.
KeywordsExciton Nanomaterials Optical limiting Nonlinearity Photoacoustics
Semiconductor nanocrystals have been receiving considerable attention over the past several years as model systems exhibiting quantum confinement effects and hence as potential candidate materials for device applications such as optical limiting and optical switching [1–6]. Optical limiting has been reported for semiconductor doped glasses [1, 2] and semiconductor nanoparticle solutions [4, 5]. An area of recent focus has been the development of simple and efficient methods of synthesis for obtaining these materials in a stable and device-friendly form in large quantities where synthesis of nanocrystals in a polymer host plays an important role [7, 8]. Nanocrystals embedded in solid polymer films have the advantages of transparency and high optical, thermal, and chemical stability apart from low cost, reproducibility and ease of preparation. The composite films retain the optical properties of the nanocrystals while providing a convenient matrix and remain stable for considerably longer durations compared to those dispersed in solutions.
Cadmium sulphide is a direct bandgap II–VI semiconductor material with a bulk band gap of 2.38 eV and exciton Bohr radius of 3 nm. Bulk CdS is known to be a very good nonlinear optical material . Semiconductor nanocrystals of size comparable to bulk exciton radius are known to exhibit excitonic features arising from discretization of the band edge due to strong quantum confinement [10, 11]. The excitonic features in the absorption and luminescence spectra show significant blue shift with decreasing particle size, making the optical properties size dependent .
Knowledge of the electronic transitions is essential in understanding the linear and nonlinear optical properties of these materials. The spectroscopic techniques used for the investigation of energy levels are mostly optical absorption, photoluminescence and Raman spectroscopy [13–16], which have provided considerable insight into the excitonic transitions. Another form of spectroscopy that could be used effectively to gather better resolved spectral information is photoacoustic spectroscopy (PAS), particularly in the case of samples such as polymer-stabilized CdS nanocrystals where nonradiative transitions dominate and luminescence gets quenched. This technique is used in the present work for probing the electronic transitions in CdS quantum dots and correlating the observed data with the theoretical transitions obtained from a noninteracting particle model.
Optical nonlinearties have been studied using different experimental techniques like degenerate four wave mixing (DFWM), z-scan technique, optical interferometry and nonlinear absorption. Reports are available on large nonlinearities observed in CdS nanocrystals using DFWM and pump probe experiments [17–21] and also on the relaxation dynamics of these materials using femtosecond time resolved pump probe and photoluminescence studies [22, 23]. Recently He et al.  studied two photon absorption and Kerr nonlinearity of CdS nanocrystals synthesized by ion exchange method in Nafion film using pump probe and optical Kerr effect techniques with 350 fs pulses at 800 nm. The z-scan technique can give information regarding both nonlinear refraction and nonlinear absorption. Most of the work done on the nonlinear optical properties of semiconductor nanocrystals are on semiconductor doped glasses. One major limitation of semiconductor doped glasses is the photodarkening effect. A few reports are there on the nonlinear optical properties of semiconductor nanocrystals suspended in solutions. The volume fraction of nanocrystals in solutions is usually small resulting in weak nonlinear response. Thus, polymer-embedded nanomaterials appear to be better candidate materials for the study of nonlinear optical response.
Nonlinear refraction has been studied in CdS nanocrystals incorporated in polydiacetylene  and polystyrene  using nanosecond pulses in the near resonant regime. It is well known that resonant nonlinearity is large but has a slow response with large linear absorption. On the other hand, off resonant nonlinearity has ultrafast response. Semiconductor nanocrystals with large nonlinearity are also known to be attractive candidate materials for optical limiting. Optical limiters are devices which have constant transmittance at low input fluences and a decrease in transmittance at high fluences. These devices are used to protect optical sensors and eyes from laser induced damage.
We have synthesized a nanocomposite material incorporating strongly confined CdS nanocrystals of average size 3.4 nm stabilized in a synthetic glue matrix. The samples are free standing films with good optical quality and photostability. The excitonic transitions are studied using optical and photoacoustic spectroscopy and the results are correlated with a non interacting particle model. PAS studies show that the energy corresponding to the first excitonic transition is Eg = 2.69 eV. Further, we have also investigated strong absorptive nonlinearity excited by nanosecond laser pulses in the off resonant regime at 532 nm. The observed optical limiting behavior is discussed on the basis of two photon absorption process.
The method of synthesis used for the present work is based on a chemical route for preparing PbS nanocomposite films reported by us recently . The precursors used are cadmium acetate and sodium sulphide of analytic grade. A commercially available, transparent, water soluble poly(vinyl acetate) (PVAc) glue purchased from Crown Chemicals Chennai, India is used as the host matrix to prepare the nanocomposite. The samples are prepared by processing equimolar quantities of sodium sulphide and cadmium acetate in the glue medium, stirring continuously. The solution was poured into petridishes and air dried to obtain stable optical quality films. The concentrations of cadmium acetate used are 0.5, 1, 2 and 3 mM in 50 ml aqueous solution of the glue. The four samples corresponding to these four different concentrations are designated as C1, C2, C3 and C4 respectively. The concentration of sodium sulphide used in each case is such that an equimolar ratio of Cd2+:S2− is obtained in all cases. The composite films are found to be very stable and they retain their physical properties for long periods of time. The thickness of the films used in the present study is 126 μm.
The morphological characterization is done using a Jeol 3010 high resolution transmission electron microscope with an accelerating voltage of 300 kV. The IR spectrum is recorded with a Perkin Elmer Spectrum One Fourier transform infrared (FTIR) spectrophotometer to obtain information about the surface of the nanocrystal.
Thermogravimetric analysis are performed using a Perkin Elmer Pyris 6 thermogravimetric analyzer (TGA). Thermal decompositions are recorded between 30 °C and 900 °C. The heating rate is 10 °C min−1. The differential scanning calorimetry (DSC) studies are done with a NETZSCZ DSC (200 Phox). The experiments are performed under a nitrogen atmosphere. The heating rate is 10 °C min−1.
Optical absorption spectra are recorded on a Jasco V-570 spectrometer in the wavelength region 300 nm–600 nm in which the host matrix is transparent. The photoacoustic spectroscopic studies are done by the gas microphone technique . The spectrum is recorded using an automated home-built photoacoustic spectrometer. A xenon arc lamp of 500 W is used as the excitation source. The light beam is passed through a monochromator (Jobin Yvon), modulated using a mechanical chopper (SR540, Stanford research systems) and focused to an airtight photoacoustic (PA) cell. The modulation frequency is 10 Hz. The PA cell consists of an aluminium cylinder with an option for inserting a microphone in its periphery. The periodically chopped beam is allowed to fall on the sample kept inside the PA cell through the transparent cell window. The nonradiative transitions within the sample heat up the boundary layer of air in contact with the sample. The periodic heating effect causes the layer to function as a vibrating piston. This results in periodic pressure fluctuations inside the cell which are detected by the sensitive microphone (G.R.A.S). The amplitude and phase angle of the PA signal are finally detected by a lock in amplifier (SR830, Stanford research systems) whose reference channel is connected from the chopper. The spectral measurements are carried out at room temperature in the wavelength range of 360–600 nm in steps of 2 nm. The PA spectrum is corrected for variations in source intensity as a function of wavelength using carbon black absorber for normalization. The nonlinear absorption studies are done by the z-scan technique  using 7 ns pulses from a Nd-YAG laser emitting at the second harmonic wavelength of 532 nm. The spatial intensity profile of the laser is found to be near Gaussian by beam profile measurements using the knife edge method. An automated open aperture z-scan set up is used to measure intensity dependent transmission. The laser beam is focused using a lens of focal length 185 mm and the transmittance is measured using a pyroelectric energy probe as a function of sample position z by translating the sample along the beam axis (z-axis). The sample sees a different fluence at each position of z. The small fluctuations in the pulse energy are accounted for by using a reference energy probe. The pulse-to-pulse energy stability is found to be approximately 5%. Depending on the absorption mechanism involved, we get a Lorentzian or inverted Lorentzian with its maximum or minimum at the focal point, z = 0 where the fluence is a maximum.
Results and Discussion
Embedding nanocrystallites in stable, transparent solid matrices is important from the point of view of the nature of cluster-host interaction whereas it also renders the sample in a convenient form for potential applications. The search for convenient and economic procedures of synthesis to achieve this has hence been of frontier interest. Most of the earlier methods for the synthesis of embedded II–VI nanocrystals were in glass matrix and involved procedures such as high temperature melting and annealing and the resulting size distribution of the clusters was rather broad. On the other hand, the main advantage of synthesis of nanocrystals in polymer matrices is the low temperature procedure, at not more than 200 °C. The motivation for the present work is to explore a much simpler and economic procedure of embedding nanocrystals in a stable and transparent matrix. The method we adopted here for the synthesis of CdS nanocrystals based on the chemical replacement reaction between Cd2 +ions and S2−ions in a synthetic glue matrix is a room temperature synthesis. Within a few seconds of addition of sodium sulphide into the aqueous solution of glue matrix containing cadmium acetate salt, CdS nanocrystals are formed.
The CdS-synthetic glue composites have wide processing flexibility enabling us to make coatings of nanometer thickness, fibres and films depending on the requirement. Major challenge in the nanoparticle synthesis is to produce small size stable nanoparticles (to prevent agglomeration) with reproducibility. Synthetic glue matrix is found to be an excellent matrix overcoming these difficulties with an efficient dispersion of nanoparticles.
Characterization by HRTEM, TEM, FTIR, DSC and TGA
Optical Absorption and Photoacoustic Spectra
The optical absorption spectra of semiconductor nanocrystals are known to show a blueshifted absorption onset with features due to exciton absorption, as observed in the present work, from which it is difficult to get detailed information about the exciton transitions. On the other hand, a more direct measurement of the spectral features of the absorbed energy can be obtained from PAS which enables to observe better resolved bands. This is because large optical density and scattering from the sample tend to make the signal to noise ratio poor in the case of the optical absorption experiment where it is the intensity of the transmitted beam that is measured. However, these factors do not cause any problem to the photoacoustic response of the sample. Hence we measured the photoacoustic response of the samples in a home made PA spectrometer.
where R is the radius of the spherical nanocrystal.
where ξ n,1 is the nth zero of the spherical Bessel function.
Theoretical models such as EMA and tight binding (TB) model tend to overestimate the exciton transition energies in nanocrystals of smaller diameter compared to the transition energies obtained from the experimental results [31–33]. At the same time, both theory and experiment agree well in the case of nanocrystals of larger diameters. In the case of smaller nanocrystals the disagreement between theory and experiment may be due to using bulk material parameters such as effective mass and bandgap as numerical inputs to the theory. The main advantage of this method of analysis, used in the present work and proposed for the first time by Nandakumar et al , is that it eliminates the use of bulk parameters in the calculation. Including Coloumb interaction into the calculations would make the analysis more complete, though it has not been taken up as part of the present work in view of the strong confinement.
First few transition energies calculated for spherical quantum dots using noninteracting particle model
Difference between transition energies corresponding to 1se–1sh, 1pe–1ph, 1de–1dh, 2se–2sh, 2pe–2ph, 2de–2dh(Table1)
Optical Limiting Studies
The experimental data and theoretical fit are in good agreement, indicating that the mechanism of nonlinear absorption here is 2PA. The values of β and I s are found to be β = 1.9 × 10−9 m/W and I s = 2.3 × 1012 W/m−2 respectively, at 4.33 × 109 W/cm2 (corresponding to laser energy 80 μJ) for both the samples C3 and C4 indicating there is no accumulative optical nonlinearity with the increase in concentration. Eventhough TPA appears to be the predominant mechanism, free carrier absorption also could be operative. The absorption spectrum shows a long wavelength tail absorption which can be due to the defect levels arising from sulphur vacancies which are located below the conduction band in bulk CdS . The evidence for this defect level emission in CdS nanocrystals has been reported previously [12, 37]. So, when excited with a photon of energy 2.33 eV, the carriers may get excited to this defect level and free carrier absorption from these levels may happen as the experiments are done with pulses of nanosecond duration.
Free standing films of CdS quantum dots of mean size 3.4 nm are synthesized by a simple chemical route using synthetic glue as the host matrix. The excitonic transitions are studied using photoacoustic spectroscopy and analyzed in detail using noninteracting particle model. We assign the first four bands observed in PAS to 1s e –1s h (band E1), 1p e –1p h (band E2), 1d e –1d h (band E3) and 2p e –2p h (band E4). The origin of the optical limiting behavior is probed using z-scan technique with nanosecond laser pulses in the off resonant regime at 532 nm. The experimental data are analysed using a model incorporating saturable absorption followed by two photon absorption. The optical limiting behaviour is found to be predominantly due to two photon absorption process. Nanocomposite films in the present work have the advantages of large optical nonlinearity and transparency apart from low cost, reproducibility and ease of preparation. They also have high optical, thermal, and chemical stability and hence render the nanocrystals in form convenient for device applications.
Financial assistance from Govt. of India is gratefully acknowledged. The authors PAK and CV also wish to acknowledge the Department of Science and Technology Unit on Nanoscience, IIT Madras for help in recording high resolution transmission electron micrographs.