Colloids and Surfaces A: Physicochem. Eng. Aspects 419 (2013) 125–132 Contents lists available at SciVerse ScienceDirect Colloids and Surfaces A: Physicochemical and Engineering Aspects journal homepage: www.elsevier.com/locate/colsurfa Atomic-scale interactions of the interface between chitosan and Fe3 O4 Linhui Qiang a , Zhanfeng Li a , Tianqi Zhao a , Shuangling Zhong b , Hongyan Wang a , Xuejun Cui a,∗ a b College of Chemistry, Jilin University, Changchun, 130012, PR China College of Resources and Environment, Jilin Agricultural University, Changchun, 130118, PR China h i g h l i g h t s g r a p h i c a l a b s t r a c t We built the interface model between chitosan and Fe3 O4 . The (1 1 1) interface has strongest interaction than other interfaces. There was high probability of formed hydrogen bonds of (1 1 1) interface. There were interactions between Fe3 O4 and nitrogen atoms of chitosan. a r t i c l e i n f o Article history: Received 13 August 2012 Received in revised form 2 November 2012 Accepted 24 November 2012 Available online 4 December 2012 Keywords: Molecular dynamics simulation Adsorption Chitosan Fe3 O4 Interface a b s t r a c t Molecular dynamics (MD) simulation was employed to study chitosan adsorption on different Fe3 O4 crystallographic planes at the atomic level. The interaction energy between chitosan and different Fe3 O4 surfaces indicates that the interaction of chitosan and Fe3 O4 (1 1 1) surfaces is stronger than that of (1 1 0) and (0 0 1) surfaces. The concentration profiles show that hydrogen and amino groups of chitosan could form strong interactions with the surfaces of Fe3 O4 . The radial distribution function show that the probability of forming hydrogen bonds between groups of chitosan and oxygen atoms on Fe3 O4 (1 1 1) surface is more than that of Fe3 O4 (1 1 0) surface, and the nitrogen atoms and iron atoms on the surface have weak physical interactions. This study provides useful information in understanding the interfacial interaction mechanism at the atomistic scale for polymer and mineral. © 2012 Elsevier B.V. All rights reserved. 1. Introduction The iron oxide nanoparticles (Fe3 O4 NPs) were a kind of important magnetic material. It has been widely used in bio-separation, hyperthermia and magnetic guided drug targeting [1–4]. For biomedical applications, Fe3 O4 NPs were often treated by surface modification which could increase the functionality and improve the biocompatibility of the Fe3 O4 NPs [5]. Chitosan obtained by deacetylation of chitin was a unique natural linear cationicpolymer, which was the structural element in the exoskeleton of crustaceans ∗ Corresponding author at: College of Chemistry, Jilin University, Qianjin Street 2699#, Changchun, 130012, PR China. Tel.: +86 431 85168470; fax: +86 431 85168470. E-mail address: cui xj@jlu.edu.cn (X. Cui). 0927-7757/$ – see front matter © 2012 Elsevier B.V. All rights reserved. http://dx.doi.org/10.1016/j.colsurfa.2012.11.055 and cell walls of fungi. Chitosan had many beneficial properties such as a low toxicity, low immunogenicity, excellent biocompatibility, biodegradability and as well as a high positive charge density. Due to its high positive charge density, it could easily form polyelectrolyte complexes with negatively charged nucleotides or drugs by electrostatic interaction [6–8]. Recently, chitosan modified magnetic particles (MPs) have gained significant attention for biomedical applications. Li et al. has reported the MPs can provide excellent biocompatility, biodegradability and low toxicity without compromising their magnetic targeting [9]. Sun et al. have prepared magnetic targeting chitosan nanoparticles as a drug delivery system and imaging agents for photodynamic therapy to cancer treatment [10]. Nguyen and co-workers have developed a novel chitosan Fe3 O4 nanobiocomposite-based platform for electrochemical detection of HIV-1 [11]. Although, MPs have applied in many fields, the 126 L. Qiang et al. / Colloids and Surfaces A: Physicochem. Eng. Aspects 419 (2013) 125–132 interaction between chitosan and Fe3 O4 are rarely reported that of is importance both from the academic viewpoint and in applied fields. Molecular dynamic (MD) simulation has been proven a valuable tool for investigating polymer–inorganic interface and the stability. Jia et al. have simulated the interface between self-assembled monolayer on Au (1 1 1) surface and epoxy resin [12]. Zhang et al. have researched the chitosan behaviors on different hydroxyapatire crystallographic planes at the atomic level [13]. Yue et al. have reported the deposition processes of gold nanoparticles on the magnetite surface through a molecular dynamics method [14]. In this paper, MD simulation was employed to study the interaction mechanism of chitosan and Fe3 O4 in atom scale. It was beneficial to choose a better condition of producing MPs. Moreover, it could provide evidence for choosing a proper drug or nucleotide, which was used for targeting delivery systems. Table 1 The chitosan models used to calculate the solubility parameter ı. Repeat units Molecule numbers Atom numbers Cell lengths Parallel models 2 5 10 15 20 25 40 60 80 100 34 14 7 5 4 3 2 1 1 1 1564 1498 1554 1660 1768 1656 1764 1322 1762 2202 30.12 30.37 30.36 31.07 31.74 31.06 31.74 28.83 31.73 34.18 5 5 5 5 5 5 5 5 5 5 qi qj + i>j Aij 2. Simulation details The simulation was conducted with the Materials Studio v4.3 package (Acclrys) using the condensed-phase optimized molecular potentials for atomistic simulation studies (COMPASS) force field. Moreover, in MD simulation, the cut-off distance of 10 Å was used in our study. The COMPASS force field was a general all-atom force field for molecular dynamic simulation that was developed using the state-of-the-art ab initio and empirical parameterization techniques [15]. The functional form of COMPASS force field was given as follows [16]: = pot + [K2 (b − b0 )2 + K3 (b − b0 )3 + K4 (b − b0 )4 ] (a) b H2 ( − 0 )2 + H3 ( − 0 )3 + H4 ( − 0 )4 (b) + i>j (l) εri,j rij9 − Bij rij6 (m) This equation includes the terms that count the effects of bond stretching (a), bending (b), torsion (c), out-of-plane coordinate (d), cross effects of (a), (b), (c) and (d)((e)–(k)), Columbic interaction (l) and van der Waals interaction (m). K, H, F and V are force field parameters b, and ϕ stand for bond length, bending angle and torsion angle, respectively. COMPASS force field has been successfully used for a long time on the prediction of structural, conformational, and adsorption for polymer–inorganic interface system under a wide range of conditions of temperature and pressure, such as the adsorption behavior of alkenes on Al2 O3 surface by Li and Choi [17]. 2.1. Chitosan model + [1 [1 − cos(ϕ − ϕ10 )] + 2 [1 − cos(2ϕ In this work, the chain length of chitosan in this simulation was determined by calculating the solubility parameter ı according to Eq. (n): − ϕ20 )] ϕ +3 [1 − cos(3ϕ + − ϕ30 )]] K 2 (c) (d) + b b b b ϕ + + + + b (e) F ( − 0 )( − 0 ) (f) Fb (b − b0 )( − 0 ) (g) (b − b0 )[V1 cosϕ + V2 cos 2ϕ + V2 cos 3ϕ] (h) (b − b 0 )[V1 cos ϕ+V 2 cos 2ϕ + V2 cos 3ϕ] (i) ( − 0 )[V1 cos ϕ + V2 cos 2ϕ + V3 cos 3ϕ] (j) ϕ + Fbb (b − b0 )(b − b 0 ) ϕ + ϕ Kϕ cos ϕ( − 0 )( − 0 ) (k) ı= √ CSD = Ecoh V (n) where CED represents cohesive energy density, Ecoh represents the cohesive energy and V is the volume of polymer. To reduce the statistical error, the parallel experiments were conducted using for each system investigated. While for every system, five simulations have been conducted. Table 1 presented the details of the chitosan models used to calculate the solubility parameter ı. First, the amorphous structures of chitosan with different chain lengths were built. Then chitosan molecule was optimized by the steepest descent and conjugate gradient method. During the procedure of structure optimization, the maximum number for the minimization was 10,000. At last, all of the chitosan molecules have reached the convergence before iteration times achieve 10,000. To obtain an energy-minimized state, the chitosan structure was annealed by performing dynamics simulations for 100 ps at each temperature, which increased from 298 K to 500 K and then decreased to 298 K with a step of 20.2 K. The simulations have performed with the time step of 1 fs at the isothermal-isobaric ensemble (NPT) which the pressure is 0.0001 Gpa. Finally, the chitosan chain was performed to calculate the solubility parameter ı of each component. When a stable value, ı, was obtained, it was confirmed that the number of repeating units was sufficient for this simulation [18]. Fig. 1(a) displayed the dependence of ı for chitosan on the number of repeating unites. We can find that when the number of repeating units reaches 20, ı approached a constant value and was close to the experimental data (10.6 ± 0.8) [19], so we chose 20 as the L. Qiang et al. / Colloids and Surfaces A: Physicochem. Eng. Aspects 419 (2013) 125–132 127 Fig. 1. (a) The solubility parameter depend on the number of repeating unites and (b) the 3D model of the chitosan chain (20 monomers). Carbon: gray; hydrogen: white; nitrogen: blue; oxygen: red. (For interpretation of the references to color in this figure legend, the reader is referred to the web version of the article.) representative of chitosan chain length in this work. The 3D structure of the optimized chitosan chain was shown in Fig. 1(b). 2.2. Fe3 O4 model Fe3 O4 has a cubic inverse spinal structure with a lattice constant of 0.8397 nm and eight formula units (Fe24 O32 ). In this study, the initial coordinates were taken form the crystallography open database which the CIF number is 9006184. In order to validate the applicability of the COMPASS force field to Fe3 O4 , we compared the experimental lattice parameters of Fe3 O4 crystal with those obtained after the MD simulation using COMPASS. MD calculation was carried out on the Fe3 O4 system for 200 ps with the time step of 0.5 fs the isothermal Cisobaric ensemble (NPT) at 298 K. The lattice parameters after the MD simulation of the Fe3 O4 are a = b = c = 0.8394 nm; ˛ = ˇ = = 90◦ , which were very close to those obtained from the experimental data [20]. This demonstrated that the COMPASS force field was applicable to the Fe3 O4 simulation. In this work, the (1 1 1), (1 1 0) and (0 0 1) surfaces of Fe3 O4 were chosen to study the interaction with chitosan, because they were the dominant surfaces observed in experiments. The surfaces of Fe3 O4 were built by cleaving the crystal along the crystallographic planes. The dimensions of the Fe3 O4 surfaces were as follows: Fe3 O4 (1 1 1), 95 Å × 95 Å × 15 Å (a × b × c), ˛ = ˇ = 90◦ , = 120◦ ; Fe3 O4 (1 1 0), 101 Å × 71 Å × 15 Å, ˛ = ˇ = = 90◦ ; Fe3 O4 (0 0 1), 95 Å × 95 Å × 15 Å, ˛ = ˇ = = 90◦ (see Fig. 2). The minimization process was completed by the steepest descent method with the convergence of 1000 kcal/mol and the conjugate gradient method with the convergence of 10 kcal/mol. 2.3. The interaction between chitosan and Fe3 O4 The optimized chitosan chain was added onto the built Fe3 O4 surfaces, and then the ‘vacuum slab’ with the height of 200 Å was put upon the chitosan–Fe3 O4 system with 3D periodic boundary conditions. The initialization model of the Fe3 O4 surface with the Fig. 2. The model of the Fe3 O4 (1 1 1), (1 1 0) and (0 0 1) surfaces. Iron: blue; oxygen: red. (For interpretation of the references to color in this figure legend, the reader is referred to the web version of the article.) chitosan was shown in Fig. 3. The surfaces of Fe3 O4 were fixed before simulations. The MD simulations of the adsorption of chitosan on Fe3 O4 surface were studied in the canonical ensemble (NVT) at 298 K. The temperature of the systems was kept through the Andersen method. The time step was 1.0 fs and the dynamics balance time was 500.0 ps. The further 20 ps MD simulation was performed under the same conditions to record the trajectory of all the atoms in the system. After reaching equilibrium state, the binding energy between the chitosan chain and the Fe3 O4 surfaces were calculated to evaluate the interfacial interactions. The concentration profiles of the atoms (in the oxygen and amino groups of the chitosan) and the atoms (in the chitosan backbone) were used to examine the activity of groups and backbone of the chitosan during the adsorption process. The radial distribution function (RDF) of different atoms could be used to understand the interaction of chitosan/Fe3 O4 on the atom scale. 128 L. Qiang et al. / Colloids and Surfaces A: Physicochem. Eng. Aspects 419 (2013) 125–132 Fig. 4. The configuration of chitosan chain on Fe3 O4 (1 1 1) surface: (a) and (1 1 0) surface: (b) after MD calculation. Carbon: gray; hydrogen: white; nitrogen: blue; oxygen: red; iron:blue. (For interpretation of the references to color in this figure legend, the reader is referred to the web version of the article.) and (1 1 0) surfaces for the following interaction study of chitosan/ Fe3 O4 interfaces. 3.2. The chain behavior of chitosan on Fe3 O4 surfaces Fig. 3. The configuration of chitosan chain on Fe3 O4 (1 1 1) surface: (a) before MD calculation and (b) after MD calculation. Carbon: gray; hydrogen: white; nitrogen: blue; oxygen: red; iron:blue. (For interpretation of the references to color in this figure legend, the reader is referred to the web version of the article.) 3. Result and discussion 3.1. The interaction energy between chitosan and Fe3 O4 surface The interaction energy (Ei ) reflected the interfacial compatibility and interaction. Ei between Fe3 O4 and chitosan could be calculated by the following equation (o): Ei = ECS + EFe − EFeCS S (o) where EFeCS represents for the energy of Fe3 O4 with chitosan after MD simulation, EFe is the energy of the Fe3 O4 by removing the chitosan and ECS is the energy of the chitosan chain after removing the Fe3 O4 surface. S denotes the area of the Fe3 O4 surface. The greater value of Ei implied stronger interaction, and more compatibility of the two components. Table 2 presented the interaction energy of chitosan/Fe3 O4 . It can be found that the value of Ei between chitosan and (1 1 1) surface was larger than that of the other surface. Therefore, the interaction between chitosan and (1 1 1) surface was greater than those of (1 1 0) and (0 0 1) surfaces, the interface interactions between chitosan/(1 1 0) surface and chitosan/(0 0 1) surface were very similar. The present results were in agreement with the results of theoretical calculation of Yang et al. [21]. Moreover, the surface free energy was nearly equal between (1 1 0) and (0 0 1) surfaces and they had similar surface structures. Therefore, we choose (1 1 1) After adsorption, there might be some physical or chemical interactions between polymer and inorganic surface. These interactions might lead to the configuration changes of polymer. The changes of molecular models before and after adsorption simulation could be observed by MD simulation. In this study, all the chitosans of different interfaces had the same initial configuration (see Fig. 3(a)). Fig. 4 showed the configuration of the chitosan on (1 1 1) and (1 1 0) surfaces after MD simulation. It could be seen that the chitosan chain before simulation shows the helical conformation. And amino and hydrogen groups distributed in both sides of the chitosan. After MD simulation, the whole chitosan chain was adsorbed on (1 1 1) surface. The helical conformation changed to a planar conformation (see Fig. 4(a)). However, the configuration of chitosan/(1 1 0) surface was different from chitosan/(1 1 1) surface after MD simulation (see Fig. 4(b)). A part of chitosan chain on the (1 1 0) surface showed a distorted planar. This phenomenon might be due to the different interaction of two interfaces. We can preliminary investigated the interaction between the polymer and the surface using the concentration profile. The concentration profile was a function of the positions along the axes of the Fe3 O4 surface and a distribution of the specific atom or group in the polymer. In this study, we calculated the concentration profile of the hydrogen, oxygen, carbon and nitrogen atoms on the chitosan chain along the axis normal to Fe3 O4 surface. We investigated the concentration profile of hydrogen atoms from the hydrogen and amino groups on chitosan chain on the different surface. We could find that the concentration profiles were located in the range of 8–20 Å before the MD simulation (see Fig. 5(a)). After the MD simulation, the concentration profile of the hydrogen atoms on (1 1 1) surface (see Fig. 5(a)) was located in the range of 2–3 Å. This was a very close distance between hydrogen atoms and Fe3 O4 surfaces. There might be some interaction. The location Table 2 The interaction energy between different Fe3 O4 surfaces and chitosan. Fe3 O4 surface EFeCS (kcal mol−1 ) EFe (kcal mol−1 ) ECS (kcal mol−1 ) Area (Å2 ) Ei (kcal mol−1 Å2 ) (1 1 1) (1 1 0) (0 0 1) 9476231 5004281 6747614 9477341 5003214 6746660 1384 1295 1278 9025 7171 9025 0.277 0.032 0.036 L. Qiang et al. / Colloids and Surfaces A: Physicochem. Eng. Aspects 419 (2013) 125–132 129 in Fig. 5(b), the concentration profile of the oxygen atoms/(1 1 1) surface was located in range of 2–4 Å and the first peak was located in 3.2 Å. The concentration of the oxygen atoms/(1 1 0) surfaces was located in range of 2–5 Å, the first peak was located in 3.2 Å. It means that the strongest interactions of the oxygen atoms between the different Fe3 O4 surfaces were similar. From the concentration profile of chitosan/(1 1 0) surface, there was some small peak located in range of 6–12 Å. Because chitosan chain had a part of distortion, some of hydrogen group was far away from the (1 1 0) surface (see Fig. 4(b)). The same phenomenon of concentration profile of other atoms could be observed (The weaker interaction of (110) interface might cause of this phenomenon). Then the normalized first peak area of (1 1 1) interface was 0.54 and that of (1 1 0) interface was 0.43. Therefore, there were more oxygen atoms of hydrogen group on the (1 1 1) surface in the closest distance. Fig. 5(c) showed the concentration profile of nitrogen atoms both chitosan/(1 1 1) surface and chitosan/(1 1 0) surface. The first peak of chitosan/(1 1 1) surface was located in 3 Å, most of nitrogen atoms distribute in range of 2–5.5 Å. The closest distance between the nitrogen atoms and 1 1 0 surface was 3.5 Å, and many nitrogen atoms was located in range of 2–8 Å. The first peak areas were normalized. The peak area of chitosan/(1 1 1) was about two times than that of chitosan/(1 1 0) surface, the normalized peak area of chitosan/(1 1 1) was 0.20 while the normalized peak area of chitosan/(1 1 0) was 0.11. Therefore the interactions of the nitrogen/surface have bigger difference between chitosan/(1 1 1) surface and chitosan/(1 1 0) surface. The concentration profiles of carbon, oxygen and hydrogen atoms from the chitosan backbone on different surface were shown in Fig. 6. Compared with the atoms of hydrogen and amino groups on chitosan chain, hydrogen, oxygen and nitrogen atoms which belong to backbone had a longer distance from Fe3 O4 surface. It means that the interaction between carbon, oxygen, hydrogen atoms of chitosan backbone and surface was weaker than that of hydrogen and amino groups. Therefore, the interactions of between chitosan and Fe3 O4 may mainly come from the groups of chitosan. Moreover, the atoms of hydrogen and amino groups were closer than the atoms of chitosan backbone. 3.3. Atom-scale interaction analysis Fig. 5. Concentration profiles of different atoms of hydrogen and amino groups of chitosan on Fe3 O4 (1 1 1) surface and (1 1 0) surface: (a) hydrogen, (b) oxygen and (c) nitrogen atoms before and after the MD calculation. The interaction of different atoms could be investigated by the distance of them. Therefore, the interaction between chitosan and Fe3 O4 surface could be further investigated by calculating the distance between the atoms of chitosan and the atoms of Fe3 O4 surface on atom scale. The radial distribution function (RDF) could calculate this distance between different atoms. RDF represents the probability density of A and B at a distance of r with respect to the bulk phase in a completely random distribution. RDF is defined as (p): V of first peak indicated the closet distance between the atoms and surfaces. Moreover, the strongest interaction has occurred in the closest distance. And the normalized peak area was used to compare the concentration distribution of the atom which have the closest distance on the surface. From Fig. 5(a), the first peak of chitosan/(1 1 1) surface was located in 2 Å; and the first peak of chitosan/(1 1 0) surface was located in 2.5 Å. Then, The normalized first peak area of (1 1 1) surface was 0.71 which is higher than that of (1 1 0) surface (0.42). That was to say there were more hydrogen atoms on the (1 1 1) surface in the closest distance than on the (1 1 0) surface. Therefore, there might be stronger interaction of hydrogen atoms/(1 1 1) surface than hydrogen atoms/(1 1 0) surface. The concentrations of oxygen atoms that belong to the hydrogen group of chitosan on different surface were investigated. As shown gAB (r) = ı(r − |rAi − rBj |) i= / j (NA NB − NAB )4r 2 dr (p) where i and j refer to the ith and jth atoms of group A of NA atoms and group B of NB atoms, NAB is the number of atoms common to both groups A and B, angle brackets imply averaging over different configurations. As mentioned Section 3.2, the atoms of groups were closer on the surface than the atoms of chitosan backbone. The distance of the hydrogen atoms of groups on Fe3 O4 surfaces were very close to the bond length of the hydrogen bond. Hydrogen bond is the interaction of a hydrogen atom with an electronegative atom, such as nitrogen, oxygen or fluorine that comes from another molecule or chemical group. Hydrogen bond could occur between molecules, or within different parts of a single molecule. There were many 130 L. Qiang et al. / Colloids and Surfaces A: Physicochem. Eng. Aspects 419 (2013) 125–132 Fig. 6. Concentration profiles of different atoms of chitosan backbone on Fe3 O4 (1 1 1) surface and (1 1 0) surface: (a) hydrogen, (b) oxygen and (c) nitrogen atoms before and after the MD calculation. intramolecular hydrogen bonds in the chitosan chain, which was responsible for the helical conformation. The distance of different atoms have been calculated by RDF (see Figs. 7 and 8). The first peak position is the closest distance between the two atoms, and the peak height indicates the probability that the two atoms appear in this distance. Fig. 7(a) shows the RDF between hydrogen atoms, from hydrogen and amino groups of chitosan, and oxygen atoms of surfaces. The first peak is located at 1.9 Å. And the peak height which belongs to chitosan/(1 1 1) surface was higher than the chitosan/(1 1 0) surface. It is known that the mean bond length of ‘O H· · ·O’ formed by two water molecules is 1.9 Å. The distance between two oxygen atoms is close to the value of 2.8 Å, and the distance between oxygen atoms and nitrogen atoms is about 2.8 Å [22,23]. Thus, we Fig. 7. The radial distribution function between different atoms of the hydrogen and amino groups and the oxygen atoms of the (1 1 1) and (1 1 0) surface: (a) hydrogen, (b) oxygen and (c) nitrogen. consider that the hydrogen atoms of groups on chitosan chain have formed hydrogen bonds with the oxygen atoms of Fe3 O4 surfaces. Moreover, the probability of formed hydrogen bonds between the hydrogen atoms and the oxygen atoms of (1 1 1) surface is higher. The reason may be that the oxygen atoms of the (1 1 1) surface had the high activity, they could interact with other atoms easily. This was consistent with the experimental results [24]. Another distance was between the acceptor and donor of forming hydrogen bonds need to discuss. Then we could find which kind of hydrogen atoms easily formed hydrogen bonds with the oxygen atoms on Fe3 O4 surface. The possible acceptor of X H bond was nitrogen and oxygen atoms of chitosan and the possible donor Y is oxygen atoms of the Fe3 O4 surface. Fig. 7(b) presented the RDF between the oxygen atoms of hydrogen group in chitosan chain and oxygen L. Qiang et al. / Colloids and Surfaces A: Physicochem. Eng. Aspects 419 (2013) 125–132 131 between nitrogen atoms of amino group on chitosan chain and iron atoms of (1 1 1) surface is higher than that of (1 1 0) surface. It can be seen from Fig. 8(b), the closest distance between oxygen atoms and iron atoms of 1 1 1 surfaces is 3.5 Å and that of (1 1 0) surface is located at 3.8 Å. The radius of the oxygen atoms are 0.48 Å. The sum of the radius values of the two atoms is smaller remarkably than the distance between oxygen atoms and iron atoms. Therefore the iron atoms of (1 1 1) and (1 1 0) surfaces have weak interaction with the oxygen atoms of hydrogen groups on chitosan chain. 4. Conclusions Fig. 8. The radial distribution function between different atoms of the hydrogen and amino groups and the iron atoms of the (1 1 1) and (1 1 0) surface: (a) oxygen and (b) nitrogen. atoms of the Fe3 O4 surfaces. The first peaks were located at 2.8 Å, the peak height of (1 1 1) surface was higher than that of (1 1 0) surface. Thus, the hydrogen groups have more probability of forming hydrogen bonds with the oxygen atoms of (1 1 1) surface than that of (1 1 0) surface. It means that the difference of interactional energy from the different surface (from Section 3.1) may be caused by the hydrogen bonds which formed by hydrogen groups of chitosan and the oxygen of Fe3 O4 surface. Then we further investigated the RDF between nitrogen atoms of amino groups and oxygen atoms of the Fe3 O4 surface, as show in Fig. 7(c). Their first peaks are located at 2.8 Å, and the peak height of (1 1 1) surface is higher than (1 1 0) surface. It means that the hydrogen atoms of amino group are hard to forming hydrogen bonds with the oxygen atoms of (1 1 0) surface. The oxygen atoms of (1 1 1) surface have higher activity than other oxygen atoms which from (1 1 0) surface. There might be some others interactions between chitosan and surface of Fe3 O4 except hydrogen bonds. The interactions might be formed between the iron atoms of Fe3 O4 surface and the nitrogen or oxygen atoms of groups in chitosan. Fig. 8(a) shows the RDF between iron atoms and nitrogen atoms. We found that the first peak which belongs to (1 1 1) surface is located at 2.9 Å. The radius of the nitrogen atoms and iron atom are 0.75 Å and 1.65 Å respectively. Their distance is similar to the sum of the radius values of the two atoms. Thus, some interactions between nitrogen and iron atoms might be occured. The same experimental results are obtained by FT-IR [24]. As shown in Fig. 8(a), the first peak of (1 1 0) surface is located at 3 Å, which is similar with (1 1 1) surface, but the height of peak (1 1 1) surface is about two times than that of (1 1 0) surface. Thus, the probability of occurred interaction The MD simulation was used to study the behaviors of chitosan chain on the (1 1 1), (1 1 1) and (1 1 0) surfaces of Fe3 O4 based on atomic scale. The interaction energy of different interfaces, RDF and the concentration profiles between different atoms on chitosan chain with the atoms on the Fe3 O4 surfaces was studied. The result of the interaction energy indicated that the chitosan chain has more intensely interacts with the (1 1 1) surface than the (1 1 0) and (0 0 1) surfaces of Fe3 O4 . The concentration profiles show that there are more atoms of groups absorbed on the surfaces than the atoms of chitosan backbone. The groups on chitosan chain have higher concentration on the (1 1 1) surface than (1 1 0) surface at the same distance. It implied that the interaction mainly occurred between atom of the groups on chitosan chain and the (1 1 1) surface of Fe3 O4 . RDF further revealed the interaction among the atoms. The hydrogen atoms of hydrogen and amino groups could form hydrogen bonds with the oxygen atoms on (1 1 1) and (1 1 0) surfaces. However, the hydrogen atoms of groups have more probability of forming hydrogen bonds with (1 1 1) than that of (1 1 0) surfaces. Moreover, nitrogen atoms has stronger interaction with the iron atoms of (1 1 1) than that of (1 1 0) surface. In summary according to these results, the chitosan have more probability of adsorbing on the (1 1 1) surface than (1 1 0) and (0 0 1) surfaces of Fe3 O4 . Acknowledgments This work was supported by the National Natural Science Foundation of China (nos. 21104023 and 21106052), and the Specialized Research Fund for the Doctoral Program of Higher Education of PR China (no. 20090061120078). References [1] R.Y. Hong, T.T. Pan, H.Z. Li, Microwave synthesis of magnetic Fe3 O4 nanoparticles used as a precursor of nanocomposites and ferrofluids, J. Magn. Magn. Mater. 303 (2006) 60–68. [2] H. Zhou, J. Lee, T.J. Park, S.J. Lee, J.Y. Park, J. Lee, Ultrasensitive DNA monitoring by Au–Fe3 O4 nanocomplex, Sens. Actuat. B Chem. 163 (2012) 224–232. [3] J. Wang, Y. Chen, B.A. Chen, J.H. Ding, G.H. Xia, C. Gao, J.A. Cheng, N. Jin, Y. Zhou, X.M. Li, M. Tang, X.M. Wang, Pharmacokinetic parameters and tissue distribution of magnetic Fe3 O4 nanoparticles in mice, Int. J. Nanomed. 5 (2010) 861–866. [4] F. Yan, X.W. Zheng, Z.M. Sun, A.H. Zhao, Effect of surface modification of Fe3 O4 nanoparticles on the preparation of Fe3 O4 /polystyrene composite particles via miniemulsion polymerization, Polym. Bull. 68 (2012) 1305–1314. [5] D. Stamopoulos, V. Gogola, E. Manios, E. Gourni, D. Benaki, D. Niarchos, M. Pissas, Biocompatibility and solubility of Fe3 O4 –BSA conjugates with human, Curr. Nanosci. Blood 5 (2009) 177–181. [6] R. Riva, H. Ragelle, A. des Rieux, N. Duhem, C. Jerome, V. Preat, Chitosan and chitosan derivatives in drug delivery and tissue enginnering, Adv. Polym. Sci. 244 (2011) 19–44. [7] Y.J. Park, Y.M. Lee, S.N. Park, S.Y. Sheen, C.P. Chung, S.J. Lee, Platelet derived growth factor releasing chitosan sponge for periodontal bone regeneration, Biomaterials 21 (2000) 153–159. [8] T. Ishii, Y. Okahata, T. Sato, Mechanism of cell transfection with plasmid/chitosan complexes, Bba-Biomembranes 1514 (2001) 51–64. [9] L.L. Li, D. Chen, Y.Q. Zhang, Z.T. Deng, X.L. Ren, X.W. Meng, F.Q. Tang, J. Ren, L. Zhang, Magnetic and fluorescent multifunctional chitosan nanoparticles as a smart drug delivery system, Nanotechnology 18 (2007) 405102. 132 L. Qiang et al. / Colloids and Surfaces A: Physicochem. Eng. Aspects 419 (2013) 125–132 [10] Y. Sun, Z.L. Chen, X.X. Yang, P. Huang, X.P. Zhou, X.X. Du, Magnetic chitosan nanoparticles as a drug delivery system for targeting photodynamic therapy, Nanotechnology 20 (2009) 135102. [11] D.T. Lam, H.N. Binh, V.H. Nguyen, V.T. Hoang, L.N. Huy, X.N. Phuc, Electrochemical detection of short HIV sequences on chitosan/Fe3 O4 nanoparticle based screen printed electrodes, Mater. Sci. Eng. C Mater. 31 (2011) 477–485. [12] J. Jia, Y.D. Huang, J. Long, J.M. He, H.X. Zhang, Molecular dynamics simulation of the interface between self-assembled monolayers on Au(1 1 1) surface and epoxy resin, Appl. Surf. Sci. 255 (2009) 6451–6459. [13] H.P. Zhang, X. Lu, L.M. Fang, S.X. Qu, B. Feng, J. Weng, Atomic-scale interactions at the interface of biopolymer/hydroxyapatite, Biomed Mater 3 (2008) 044110. [14] J. Yue, X.C. Jiang, A.B. Yu, Molecular dynamics study on Au/Fe3 O4 nanocomposites and their surface function toward amino acids, J. Phys. Chem. B 115 (2011) 11693–11699. [15] H. Sun, COMPASS: an ab initio force-field optimized for condensed-phase applications-overview with details on alkane and benzene compounds, J. Phys. Chem. B 102 (1998) 7338–7364. [16] K.L. Tung, K.T. Lu, R.C. Ruaan, J.Y. Lai, Molecular dynamics study of the effect of solvent types on the dynamic properties of polymer chains in solution, Desalination 192 (2006) 380–390. [17] C.L. Li, P. Choi, Molecular dynamics study of the adsorption behavior of normal alkanes on a relaxed alpha-Al2 O3 (0 0 0 1) surface, J. Phys. Chem. C 111 (2007) 1747–1753. [18] S.S. Jawalkar, K.V.S.N. Raju, S.B. Halligudi, M. Sairam, T.M. Aminabhavi, Molecular modeling simulations to predict compatibility of poly(vinyl alcohol) and chitosan blends: a comparison with experiments, J. Phys. Chem. B 111 (2007) 2431–2439. [19] R. Ravindra, K.R. Krovvidi, Solubility parameter of chitin and chitosan, Carbohydr. Polym. 36 (1998) 121–127. [20] H.S.C. O¡N̄eill, W.A. Dollase, Crystal structures and cation distributions in simple spinels from powder XRD structural refinements: MgCr2 O4 , ZnCr2 O4 , Fe3 O4 and the temperature dependence of the cation distribution in ZnAl2 O4 , Phys. Chem. Miner. 20 (1994) 541–555. [21] T. Yang, X. Wen, J. Ren, Y. Li, J. Wang, Surface structures of Fe3 O4 (1 1 1), (1 1 0) and (0 0 1): a density functional theory study, J. Fuel Technol. Chem. 38 (1) (2010) 121–128. [22] S. Dong, X. Cui, S. Zhong, Y. Gao, Effects of temperature and concentration on the structure of ethylene oxide–propylene oxide–ethylene oxide triblock copolymer (Pluronic P65) in aqueous solution: a molecular dynamics simulation study, Mol. Simulat. 37 (2011) 1014–1022. [23] M. Mirzaei, K. Ahmadi, Investigation of CH· · ·OC and NH· · ·OC hydrogenbonding interations in crystalline thmine by DFT calculations of O-17, N-14, and H-2 NQR parameters, Biophys. Chem. 125 (2007) 411–415. [24] N.D. Cuong, T.T. Hoa, D.Q. Khieu, T.D. Lam, N.D. Hoa, Synthesis, characterization, and comparative gas-sensing properties of Fe2 O3 prepared from Fe3 O4 and Fe3 O4 –chitosan, J. Alloys Compd. 523 (2012) 120–126.