Open Access Nano Commentary

Photo-induced electric polarizability of Fe3O4 nanoparticles in weak optical fields

Valentin A Milichko12*, Anton I Nechaev3, Viktor A Valtsifer3, Vladimir N Strelnikov3, Yurii N Kulchin1 and Vladimir P Dzyuba1

Author Affiliations

1 Institute of Automation and Control Processes, FEB RAS, Radio 5, Vladivostok 690041, Russia

2 Far Eastern Federal University, Sukhanova 8, Vladivostok 690950, Russia

3 Institute of Technical Chemistry, UB RAS, Academician Korolyov 3, Perm 614013, Russia

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Nanoscale Research Letters 2013, 8:317  doi:10.1186/1556-276X-8-317


The electronic version of this article is the complete one and can be found online at: http://www.nanoscalereslett.com/content/8/1/317


Received:23 May 2013
Accepted:1 July 2013
Published:9 July 2013

© 2013 Milichko et al.; licensee Springer.

This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Using a developed co-precipitation method, we synthesized spherical Fe3O4 nanoparticles with a wide nonlinear absorption band of visible radiation. Optical properties of the synthesized nanoparticles dispersed in an optically transparent copolymer of methyl methacrylate with styrene were studied by optical spectroscopy and z-scan techniques. We found that the electric polarizability of Fe3O4 nanoparticles is altered by low-intensity visible radiation (I ≤ 0.2 kW/cm2; λ = 442 and 561 nm) and reaches a value of 107 Å3. The change in polarizability is induced by the intraband phototransition of charge carriers. This optical effect may be employed to improve the drug uptake properties of Fe3O4 nanoparticles.

PACS

33.15.Kr

78.67.Bf

42.70.Nq

Keywords:
Magnetite nanoparticles; Electric polarizability; Low-intensity visible radiation

Background

Magnetite (FeO*Fe2O3, or Fe3O4) nanoparticles, and materials based on them, have been successfully used to solve applied problems in biology and magneto-optics. Pronounced superparamagnetic [1-4] and ferromagnetic [5] properties at room temperature enable the use of these nanoparticles in magnetic resonance imaging [6-9] and biosensing [9] as well as in drug delivery and drug uptake applications [8-13]. Because they possess magneto-optical properties [14,15], Fe3O4 nanoparticles have also been used to develop tunable filters [16,17] and optical switches [18,19] that operate under magnetic fields.

In fact, Fe3O4 nanoparticles have been examined for the presence of unique magnetic properties because magnetite is a narrow-gap semiconductor [20-22] and the optical properties of other semiconductor nanoparticles have been thoroughly studied. Currently, there are several experimental and theoretical works dedicated to studying the optical properties of both bulk magnetite [23-26] and its nanoparticles [27-29]. However, some specific optical properties of Fe3O4 nanoparticles (in particular, the effects of electric polarizability on their biological activity, conductivity, ferroelectricity, and electro-optical properties) as well as the nature of these properties remain virtually unexplored.

In this paper, we demonstrate that Fe3O4 nanoparticles exhibiting a wide nonlinear absorption band of visible radiation (1.7:3.7 eV) are able to significantly change their electric polarizability when exposed to low-intensity visible radiation (I ≤ 0.2 kW/cm2). The observed change in polarizability was induced by the intraband phototransition of nanoparticle charge carriers, and polarizability changes were orders of magnitude greater than those of semiconductor nanoparticles and molecules [30,31].

Experiments

Synthesis of nanoparticles

There are several techniques for the synthesis of Fe3O4 nanoparticles with an arbitrary shape and size and for their dispersal in different matrices [4,5,11,12,27,29,32-36]. In this study, we synthesized nanoparticles using co-precipitation method [1,2,13-15,37,38], dispersed them in monomeric methyl methacrylate with styrene (MMAS), and polymerized this composition using pre-polymerization method.

In the first step (Figure 1a), Fe3O4 nanoparticles were synthesized by co-precipitation of soluble salts of ferrous and ferric ions with an aqueous ammonia solution: FeSO4*7H2O + 2FeCl3*6H2O + 8NH3*H2O ↔ Fe3O4 + 6NH4Cl + (NH4)2SO4 + 20H2O.

thumbnailFigure 1. The developed co-precipitation method. (a) The synthesis of Fe3O4 nanoparticles with a monolayer of oleic acid by the developed co-precipitation method and (b) the composite MMAS + Fe3O4 preparation.

Oleic acid (in a mass ratio of 0.7:1 with the formed Fe3O4) was added to a 0.5% solution of iron salts (FeSO4/FeCl3 = 1:2.2 molar ratio) in 0.1 M HCl. The aqueous solution of iron salts was heated to 80°C, followed by the addition of concentrated aqueous ammonia (20% excess). The solution was heated and stirred for an hour.

Stabilized nanoparticles were then extracted from the aqueous phase into a nonpolar organic solvent hexane at a ratio of 1:1. The organic layer containing the iron oxide Fe3O4 was separated from the aqueous medium. The sample was centrifuged for 15 min (6,000 rpm) to remove larger particles. Excess acid was removed with ethanol.

The size of the nanoparticles was determined by dynamic light scattering method (Zetasizer Nano ZS, Malvern, UK). Measurements were conducted in hexane with a laser wavelength of 532 nm. The average hydrodynamic diameter of the synthesized nanoparticles was 15 nm, as illustrated in Figure 2.

thumbnailFigure 2. Nanoparticle size. The average hydrodynamic diameter of the synthesized nanoparticles (15 nm) dispersed in hexane was determined by dynamic light scattering method (Zetasizer Nano ZS, Malvern, UK) at a laser wavelength of 532 nm.

Composite preparation

The second step (Figure 1b) focused on obtaining a solid composite based on Fe3O4 nanoparticles and MMAS. The organic solvent containing nanoparticles and monomers (methyl methacrylate with styrene) was subjected to stirring and ultrasonic homogenization. To prevent nanoparticle aggregation during the polymerization process, we used the pre-polymerization method at 75°C because the nanoparticles had different affinities to the monomer and polymer.

Finally, the composite was synthesized in situ by radical polymerization. The polymerization of methyl methacrylate with styrene (in the mass ratio of 20:1) proceeded for over 10 h (in a temperature gradient mode that progressed from 55°C to 110°C) in the presence of benzoyl peroxide (10−3 mol/L).

The obtained solid composites had 0.001%, 0.003%, 0.005%, and 0.01% volume concentrations of Fe3O4 nanoparticles in MMAS. Importantly, the synthesized Fe3O4 nanoparticles generally had a thick layer of acids [36,39] surrounding them to prevent aggregation of the nanoparticle. In our case, the synthesized Fe3O4 nanoparticles had a monolayer of oleic acid that allowed the nanoparticles to exhibit their specific optical properties.

UV–vis spectroscopy

Room-temperature optical absorbance spectra of pure MMAS (Figure 3, black curve) and of the composites were obtained using a Varian Cary 5000I spectrophotometer (Agilent Technologies, Santa Clara, CA, USA) over the wavelength range of 300 to 1,500 nm. These spectra allowed the derivation of the absorbance spectra for Fe3O4 nanoparticle arrays (Figure 3, color curves). Figure 3 shows the absorbance values (Abs) and the absorption coefficients (α = (Abs × ln 10)/l, where l = 7.95 mm is the length of the composite) measured at a maximum radiation intensity of 1 μW/cm2.

thumbnailFigure 3. Absorbance spectra for the MMAS and Fe3O4 nanoparticle array. The optical absorbance spectra for pure MMAS and Fe3O4 nanoparticle arrays with 0.001%, 0.003%, 0.005%, and 0.01% volume concentrations.

z-Scan experiments

Because they have absorption bands of 380 to 650 nm, Fe3O4 nanoparticles should exhibit an optical response upon external radiation with wavelengths in this band [40]. To detect the optical response of the nanoparticles contained in the composite (0.005% nanoparticle volume concentration), we used the standard z-scan technique [41]. This technique enabled the analysis of changes in the absorption coefficient Δα(I) and refractive index Δn(I) of the composite and pure MMAS, which were induced by weak optical radiation with different intensities 0 to 0.14 kW/cm2.

For radiation sources, we used semiconductor lasers of continuous wave (cw) radiation with wavelengths of 442 nm (blue) and 561 nm (yellow) providing maximal intensities of 0.07 and 0.14 kW/cm2. Lenses with focal lengths of 75 mm provided the beam waists ω0 = 102 and 110 μm for blue and yellow radiation (Figure 4b). The length (L) of experimental samples of the MMAS and the composite was 2.7 mm (inset in Figure 3). Because the Rayleigh range z0 = πnω2 / λ exceeded 10 cm, the calculation of Δα and Δn was performed using the formulae [40,41]:

Δα I = 2 2 Δ Τ I L , Δn I = γI = λ Δ Τ pv I × α + Δα I 0.812 π 1 S 0.27 1 e α + Δα I L , (1)

where ΔT(I) (Figure 4a) and ΔTpv(I) (Figure 5b) were the integral transmitted intensity and the normalized transmittance between the peak and valley at different radiation intensities, respectively; λ and α were the radiation wavelength and absorption coefficient (Figure 3), respectively, and S was the fraction of radiation transmitted by the aperture without the sample, which was 0.184.

thumbnailFigure 4. z-Scan results for the MMAS. (a) Curves for z-scans with open (circle) T(I) and closed (square) Tpv(I) apertures at radiation wavelengths of 442 nm (red points, 60 W/cm2) and 561 nm (blue points, 133 W/cm2) for the MMAS sample (L = 2.7 mm). (b) Profilometer images for the beam waists ω0.

thumbnailFigure 5. z-Scan results for the composite. Curves for z-scans with open (circle) T(I) and closed (square) Tpv(I) apertures at radiation wavelengths of 442 nm (a) (red points, 19 W/cm2; blue points, 54 W/cm2) and 561 nm (b) (red points, 40 W/cm2; blue points, 93 W/cm2) for the composite sample (L = 2.7 mm) containing Fe3O4 nanoparticle with a 0.005% volume concentration.

The experimental curves T(I) and Tpv(I), which contain information about ΔT and ΔTpv, showed that only the reverse saturable absorption of yellow radiation occurred in pure MMAS (Figure 4a). In contrast, the composite manifested the expected optical response: the shape of the experimental curves T(I) and Tpv(I) indicated the saturable absorption of visible radiation in the composite and a negative change in its refractive index (Figure 5), and the values of ΔT(I) and ΔTpv(I) increased linearly with increasing intensities of blue (Figure 5a) and yellow (Figure 5b) radiation.

The approximation of Tpv based on the theoretical curves (solid lines in Figure 5) was performed using the equation [42]:

T = 1 + 2 ρ x 2 + 2 x 3 ρ x 2 + 9 x 2 + 1 Δ Φ (2)

where the coupling factor ρ = Δα × λ / 4π × Δn and the phase shift due to nonlinear refraction ΔΦ = 2π × Δn × Leff / λ had the following values: ρ = 0.09 and ΔΦ = −0.23 and −0.5 for blue radiation with intensities of 0.019 and 0.054 kW/cm2 and ρ = 0.05 and ΔΦ = −0.7 and −1.45 for yellow radiation with intensities of 0.04 and 0.093 kW/cm2.

Discussion

The saturable absorption of visible radiation with intensities less than 0.14 kW/cm2 in the composite and the negative change in the refractive index were due to the presence of Fe3O4 nanoparticles since pure MMAS showed only the relatively weak reverse saturable absorption of yellow radiation. Therefore, the experimental data ΔT(I) and ΔTpv(I) obtained for the composite could be used to calculate the values of Δα(I) and Δn(I) for Fe3O4 nanoparticle arrays (Equation 1), and these values are listed in Figure 6.

thumbnailFigure 6. The values of changes in the absorption coefficient, refractive index, and polarizability of Fe3O4 nanoparticles. (a) The dependency of changes in the absorption coefficients Δα of pure MMAS (circle) and Fe3O4 nanoparticle arrays (square and rhombus) on the intensity of radiation with wavelengths of 442 nm and 561 nm. (b) The dependency of changes in the refractive index Δn and polarizability Δα3) of Fe3O4 nanoparticle arrays on the intensity of radiation with wavelengths of 442 nm (rhombus) and 561 nm (square); red dashed lines present the contribution of the thermal effect of cw radiation on the change in the refractive index (Equation 3), and blue dashed lines are theoretical approximations based on the approach of free carrier absorption (Equation 4).

Because the observed dependence of Δn on the radiation intensity I (Figure 6b) for Fe3O4 nanoparticle arrays could be considered a linear function, it can be assumed that Δn was caused by the thermal effect of the radiation. We estimated the contribution of this effect to the changes of the composite refractive index using the equation [43]:

Δ n therm = Δ Ε × dn dT c hc ρ d , (3)

where chc was the MMAS heat capacity (0.7 J/g·K), ρd was the MMAS density (1.3 g/cm3), dn/dT was the MMAS thermo-optic coefficient (−10−5 K−1), and ΔE was the energy absorbed by the composite per unit volume per second. The thermal effect of cw low-intensity radiation on the change in the refractive index (red dashed lines in Figure 6b) was relatively small (not more than 20% for blue radiation and 8% for yellow radiation).

Generally, the possibility of a nonthermal optical response of the composite due to external optical radiation is associated with the polarization of Fe3O4 nanoparticles in the external field E. Nanoparticle polarization occurs at the spatial separation of positive and negative charges, i.e., at the electron transition to higher allowed energy states (quantum number l ≠ 0). These transitions should be accompanied by the absorption of external radiation. In our case, we observed the absorption of radiation with wavelengths of 380 to 650 nm (Figure 3). This absorption band consisted of three maxima (380, 480, and 650 nm), indicating the broadened quantum-size states for the electrons in Fe3O4 nanoparticles. Because the bandgap of magnetite is rather small (approximately 0.2 eV) [20-22], the conduction and valence bands of the nanoparticles should be coupled due to quantum-size effect [44]. Therefore, the transitions of Fe3O4 nanoparticle electrons to higher energy states by the action of photons with energies of 2.3 eV (λ = 561 nm) and 2.6 eV (λ = 442 nm) can be considered intraband transitions. In turn, these transitions result in changes in the refractive index of the media as follows [45-47]:

Δn I = e 2 λ 2 8 π 2 c 2 n 0 ϵ 0 m e N e (4)

where e was the electron charge, c was the speed of light, ϵ0 was the electric constant, me was the electron mass, and Ne was the concentration of excited electrons, which depends on the number of photons in the beam or the radiation intensity I.

Using Equation 4 to approximate the experimentally observed behavior of Δn(I) (Figure 6b, blue dashed lines), we estimated that the concentration of optically excited electrons in Fe3O4 nanoparticles was approximately 1023 m−3, being the radiation intensity of less than 0.14 kW/cm2.

The amplitude of the nanoparticle polarization is determined by |E| of the external field and the nanoparticle susceptibility (χ) or polarizability (α) measured in cubic angstrom. In turn, the change in the refractive index induced by the radiation is associated with the change in nanoparticle polarizability Δα3) by classical relations [48]. Therefore, we could calculate the values of Δα3) for Fe3O4 nanoparticle using the experimental values of Δn(I) and the following equations (SI):

ϵ = n 2 I k 2 I = 1 + χ Δχ = Δα Å 3 10 30 N m 3 (5)

where ϵ was the real part of the dielectric constant, the composite refractive index n(I) = n0 + Δn(I), and n0 was the refractive index of pure MMAS (approximately 1.5). The extinction coefficient k = αλ / 4π was significantly less than n(I) and could be ignored; χ was the nanoparticle susceptibility, and N was the nanoparticle concentration (approximately 2.3 × 1019 m−3). Therefore, the values of Δα3) for Fe3O4 nanoparticle were calculated using the formula Δα3) ≈ 2n × Δn(I) × 1030 / N and are presented in Figure 6b.

The obtained values for the changes in nanoparticle polarizability are orders of magnitude greater than those for semiconductor nanoparticles and molecules [30,31] in extremely weak optical fields. In addition, the average nanoparticle volume was approximately 2.2 × 106 Å3, and the maximum value of Δα3) was 9 × 106 Å3. Thus, we can conclude that the nanoparticle polarization should be formed by several optical intraband transitions of nanoparticle electrons in weak optical fields.

Conclusions

We used the developed co-precipitation method to synthesize spherical Fe3O4 nanoparticles covered with a monolayer of oleic acid that possessed a wide nonlinear absorption band of visible radiation 1.7 to 3.7 eV. The synthesized nanoparticles were dispersed in the optically transparent copolymer methyl methacrylate with styrene, and their optical properties were studied by optical spectroscopy and z-scan techniques. We report that the electric polarizability of Fe3O4 nanoparticles changes due to the effect of low-intensity visible radiation (I ≤ 0.2 kW/cm2; λ = 442 and 561 nm) and reaches a relatively high value of 107 Å3. The change in polarizability is induced by the intraband phototransition of charge carriers and can be controlled by the intensity of the visible radiation used. This optical effect observed in magnetic nanoparticles may be employed to significantly improve the drug uptake properties of Fe3O4 nanoparticles.

Abbreviations

Abs: Absorbance; Cw: Continuous wave; MMAS: Methyl methacrylate with styrene.

Competing interests

The authors declare that they have no competing interests.

Authors’ contributions

VM designed and performed the optical experiments (z-scan and spectroscopy), participated in the analysis and interpretation of data, and prepared the draft and final version of the manuscript. AN, VV, and VS designed and performed the chemical experiments, achieved that nanoparticle was covered with a monolayer of oleic acid, prepared the sections ‘Synthesis of nanoparticle’ and ‘Composite preparation’. YK and VD conceived of the study, participated in the analysis and interpretation of data, helped to draft the final version of the manuscript. All the authors read and approved the final manuscript.

Acknowledgments

The work was supported by the Programs of Presidium of Russian Academy of Science (12-I-OFN-05, 12-I-P24-05, 12-II-UO-02-002) and by the Program of UB RAS (12-S-Z-1004).

References

  1. Gass J, Poddar P, Almand J, Srinath S, Srikanth H: Superparamagnetic polymer nanocomposites with uniform Fe3O4 nanoparticle dispersions.

    Adv Funct Mater 2006, 16:71-75. Publisher Full Text OpenURL

  2. Wan J, Tang G, Qian Y: Room temperature synthesis of single-crystal Fe3O4 nanoparticles with superparamagnetic property.

    Appl Phys A 2007, 86:261-264. OpenURL

  3. Mürbe J, Rechtenbach A, Töpfer J: Synthesis and physical characterization of magnetite nanoparticles for biomedical application.

    Mater Chem Phys 2008, 110:426-433. Publisher Full Text OpenURL

  4. Hashimoto H, Fujii T, Nakanishi M, Kusano Y, Ikeda Y, Takada J: Synthesis and magnetic properties of magnetite-silicate nanocomposites derived from iron oxide of bacterial origin.

    Mater Chem Phys 2012, 136:1156-1161. Publisher Full Text OpenURL

  5. Wang X, Zhao Z, Qu J, Wang Z, Qiu J: Fabrication and characterization of magnetic Fe3O4-CNT composites.

    J Phys Chem Sol 2010, 71:673-676. Publisher Full Text OpenURL

  6. Xie J, Chen K, Lee HY, Xu C, Hsu AR, Peng S, Chen X, Sun S: Ultrasmall c(RGDyK)-coated Fe3O4 nanoparticles and their specific targeting to integrin αvβ3-rich tumor cells.

    J Am Chem Soc 2008, 130:7542-7543. PubMed Abstract | Publisher Full Text | PubMed Central Full Text OpenURL

  7. Mi C, Zhang J, Gao H, Wu X, Wang M, Wu Y, Di Y, Xu Z, Mao C, Xu S: Multifunctional nanocomposites of superparamagnetic (Fe3O4) and NIR-responsive rare earth-doped up-conversion fluorescent (NaYF4:Yb, Er) nanoparticles and their applications in biolabeling and fluorescent imaging of cancer cells.

    Nanoscale 2010, 2:1141-1148. PubMed Abstract | Publisher Full Text | PubMed Central Full Text OpenURL

  8. Chen ZL, Sun Y, Huang P, Yang XX, Zhou XP: Studies on preparation of photosensitizer loaded magnetic silica nanoparticles and their anti-tumor effects for targeting photodynamic therapy.

    Nanoscale Res Lett 2009, 4:400-408. PubMed Abstract | Publisher Full Text | PubMed Central Full Text OpenURL

  9. Yang C, Wu J, Hou Y: Fe3O4 nanostructures: synthesis, growth mechanisms, properties and application.

    Chem Commun 2011, 47:5130-5141. Publisher Full Text OpenURL

  10. Wang X, Zhang R, Wu C, Dai Y, Song M, Gutmann S, Gao F, Lu G, Li J, Li X, Guan Z, Fu D, Chen B: The application of Fe3O4 nanoparticles in cancer research: a new strategy to inhibit drug resistance.

    J Biomed Mater Res A 2007, 80A(4):852-860. Publisher Full Text OpenURL

  11. Gong P, Li H, He X, Wang K, Hu J, Tan W, Zhang S, Yang X: Preparation and antibacterial activity of Fe3O4@Ag nanoparticles.

    Nanotechnology 2007, 18:1-7.

    285604

    OpenURL

  12. Liu X, Hu Q, Fang Z, Wu Q, Xie Q: Carboxyl enriched monodisperse porous Fe3O4 nanoparticles with extraordinary sustained-release property.

    Langmuir Lett 2009, 25(13):7244-7248. Publisher Full Text OpenURL

  13. Covaliu CI, Berger D, Matei C, Diamandescu L, Vasile E, Cristea C, Ionita V, Iovu H: Magnetic nanoparticles coated with polysaccharide polymers for potential biomedical applications.

    J Nanopart Res 2011, 13:6169-6180. Publisher Full Text OpenURL

  14. Wu KT, Kuo PC, Yao YD, Tsai EH: Magnetic and optical properties of Fe3O4 nanoparticle ferrofluids prepared by coprecipitation technique.

    IEEE Trans Magn 2001, 37(4):2651-2653. Publisher Full Text OpenURL

  15. Narsinga Rao G, Yao YD, Chen YL, Wu KT, Chen JW: Particle size and magnetic field-induced optical properties of magnetic fluid nanoparticles.

    Phys Rev E 2005, 72:1-6. OpenURL

  16. Liu T, Chen X, Di Z, Zhang J: Tunable magneto-optical wavelength filter of long-period fiber grating with magnetic fluids.

    Appl Phys Lett 2007, 91:121116. Publisher Full Text OpenURL

  17. Li J, Liu X, Lin Y, Bai L, Li Q, Chen X: Field modulation of light transmission through ferrofluid film.

    Appl Phys Lett 2007, 91:1-3.

    253108

    OpenURL

  18. Chieh JJ, Hong CY, Yang SY, Horng HE, Yang HC: Study on magnetic fluid optical fiber devices for optical logic operations by characteristics of superparamagnetic nanoparticles and magnetic fluids.

    J Nanopart Res 2010, 12:293-300. Publisher Full Text OpenURL

  19. Xia SH, Wang J, Lu ZX, Zhang F: Birefringence and magneto-optical properties in oleic acid coated Fe3O4 nanoparticles: application for optical switch.

    Int J Nanoscience 2011, 10(3):515-520. Publisher Full Text OpenURL

  20. Balberg I, Pankove JI: Optical measurements on magnetite single crystals.

    Phys Rev Lett 1971, 27(9):596-599. Publisher Full Text OpenURL

  21. Park JH, Tjeng LH, Allen JW, Metcalf P, Chen CT: Single-particle gap above the Verwey transition in Fe3O4.

    Phys Rev B 1997, 55(19):813-817. OpenURL

  22. Jordan K, Cazacu A, Manai G, Ceballos SF, Murphy S, Shvets IV: Scanning tunneling spectroscopy study of the electronic structure of Fe3O4 surface.

    Phys Rev B 2006, 74:1-6.

    085416

    OpenURL

  23. Buchenau U, Müller I: Optical properties of magnetite.

    Solid State Commun 1972, 11:1291-1293. Publisher Full Text OpenURL

  24. Muret P: Optical absorption in polycrystalline thin films of magnetite at room temperature.

    Solid State Commun 1974, 14:1119-1122. Publisher Full Text OpenURL

  25. Schlegel A, Alvarado SF, Wachter P: Optical properties of magnetite (Fe3O4).

    J Phys C: Solid State Phys 1979, 12:1157-1164. Publisher Full Text OpenURL

  26. Fontijn WFJ, van der Zaag PJ, Devillers MAC, Brabers VAM, Metselaar R: Optical and magneto-optical polar Kerr spectra of Fe3O4 and Mg2+ - or Al3+-substituted Fe3O4.

    Phys Rev B 1997, 56(9):5432-5442. Publisher Full Text OpenURL

  27. Yasumori A, Matsumoto H, Hayashi S, Okada K: Magneto-optical properties of silica gel containing magnetite fine particles.

    J Sol–gel Sci Tech 2000, 18:249-258. PubMed Abstract | Publisher Full Text | PubMed Central Full Text OpenURL

  28. Barnakov YA, Scott BL, Golub V, Kelley L, Reddy V, Stokes KL: Spectral dependence of Faraday rotation in magnetite-polymer nanocomposites.

    J Phys Chem Solids 2004, 65:1005-1010. Publisher Full Text OpenURL

  29. Roychowdhury A, Pati SP, Mishra AK, Kumar S, Das D: Magnetically addressable fluorescent Fe3O4/ZnO nanocomposites: structural, optical and magnetization studies.

    J Phys Chem Solids 2013, 74:811-818. Publisher Full Text OpenURL

  30. Evlyukhin AB, Reinhardt C, Seidel A, Luk’yanchuk BS, Chichkov BN: Optical response features of Si-nanoparticle arrays.

    Phys Rev B 2010, 82(4):1-12.

    045404

    OpenURL

  31. Marenich AV, Cramer CJ, Truhlar DG: Reduced and quenched polarizabilities of interior atoms in molecules.

    Chem Sci 2013, 4:2349-2356. Publisher Full Text OpenURL

  32. Kang YS, Risbud S, Rabolt JF, Stroeve P: Synthesis and characterization of nanometer-size Fe3O4 and γ- Fe3O4 particles.

    Chem Mater 1996, 8:2209-2211. Publisher Full Text OpenURL

  33. Chen L, Yang WJ, Yang CZ: Preparation of nanoscale iron and Fe3O4 powders in a polymer matrix.

    J Mater Sci 1997, 32:3571-3575. Publisher Full Text OpenURL

  34. Long Y, Chen Z, Duvali JL, Zhang Z, Wan M: Electrical and magnetic properties of polyaniline/Fe3O4 nanostructures.

    Physica B 2005, 370:121-130. Publisher Full Text OpenURL

  35. Banert T, Peuker UA: Preparation of highly filled super-paramagnetic PMMA-magnetite nanocomposites using the solution method.

    J Mater Sci 2006, 41:3051-3056. Publisher Full Text OpenURL

  36. Li D, Jiang D, Chen M, Xie J, Wu Y, Dang S, Zhang J: An easy fabrication of monodisperse oleic acid-coated Fe3O4 nanoparticles.

    Mater Lett 2010, 64:2462-2464. Publisher Full Text OpenURL

  37. Gnanaprakash G, Mahadevan S, Jayakumar T, Kalyanasundaram P, Philip J, Raj B: Effect of initial pH and temperature of iron salt solutions on formation of magnetite nanoparticles.

    Mater Chem Phys 2007, 103:168-175. Publisher Full Text OpenURL

  38. Tural B, Özkan N, Volkan M: Preparation and characterization of polymer coated superparamagnetic magnetite nanoparticle agglomerates.

    J Phys Chem Solids 2009, 70:860-866. Publisher Full Text OpenURL

  39. Lan Q, Liu C, Yang F, Liu S, Xu J, Sun D: Synthesis of bilayer oleic acid-coated Fe3O4 nanoparticles and their application in pH-responsive Pickering emulsions.

    J Coll Interf Sci 2007, 310:260-269. Publisher Full Text OpenURL

  40. Milichko VA, Dzyuba VP, Kulchin YN: Unusual nonlinear optical properties of SiO2 nanocomposite in weak optical fields.

    Appl Phys A 2013, 11(1):319-322. OpenURL

  41. Sheik-Bahae M, Said AA, Wei TH, Hagan DJ, Van Stryland EW: Sensitive measurement of optical nonlinearities using a single beam.

    IEEE J Quantum Electron 1990, 26(4):760-769. Publisher Full Text OpenURL

  42. Liu X, Guo S, Wang H, Hou L: Theoretical study on the closed-aperture Z-scan curves in the materials with nonlinear refraction and strong nonlinear absorption.

    Opt Commun 2001, 197:431-437. Publisher Full Text OpenURL

  43. Ganeev RA, Ryasnyansky AI, Stepanov AL, Usmanov T: Nonlinear optical response of silver and copper nanoparticles in the near-ultraviolet spectral range.

    Phys Sol State 2004, 46(2):351-356. Publisher Full Text OpenURL

  44. AlL E, Rosen M: Quantum size level structure of narrow-gap semiconductor nanocrystals: effect of band coupling.

    Phys Rev B 1998, 58(11):7120-7135. Publisher Full Text OpenURL

  45. Bennett BR, Soref RA, Del Alamo J: Carrier-induced change in refractive index of InP, GaAs, and InGaAsP.

    IEEE J Quantum Electron 1990, 26(1):113-122. Publisher Full Text OpenURL

  46. Veselago VG: The electrodynamics of substances with simultaneously negative values of ϵ and μ.

    Physics-Uspekhi 1968, 10:509-514. Publisher Full Text OpenURL

  47. Yu ZG, Krishnamurthy S, Guha S: Photoexcited-carrier-induced refractive index change in small bandgap semiconductors.

    J Opt Soc Am B 2006, 23(11):2356-2360. Publisher Full Text OpenURL

  48. Akhmanov A, Nikitin SY: Physical Optics. Oxford: Oxford University Press; 1997. OpenURL