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


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.


33.15.Kr, 78.67.Bf, 42.70.Nq


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 [14] and ferromagnetic [5] properties at room temperature enable the use of these nanoparticles in magnetic resonance imaging [69] and biosensing [9] as well as in drug delivery and drug uptake applications [813]. 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 [2022] 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 [2326] and its nanoparticles [2729]. 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].


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, 3236]. In this study, we synthesized nanoparticles using co-precipitation method [1, 2, 1315, 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.

Figure 1
figure 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.

Figure 2
figure 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.

Figure 3
figure 3

Absorbance spectra for the MMAS and Fe 3 O 4 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 ,

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.

Figure 4
figure 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.

Figure 5
figure 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

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.


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.

Figure 6
figure 6

The values of changes in the absorption coefficient, refractive index, and polarizability of Fe 3 O 4 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 ,

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) [2022], 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 [4547]:

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

where e was the electron charge, c was the speed of light, ϵ0 was the electric constant, m e was the electron mass, and N e 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

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.


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.





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Methyl methacrylate with styrene.


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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).

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Correspondence to Valentin A Milichko.

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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.

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Milichko, V.A., Nechaev, A.I., Valtsifer, V.A. et al. Photo-induced electric polarizability of Fe3O4 nanoparticles in weak optical fields. Nanoscale Res Lett 8, 317 (2013).

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  • Magnetite nanoparticles
  • Electric polarizability
  • Low-intensity visible radiation