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The crystal structure of 30 nm hydroxyapatite powder synthesized under ultrasonic irradiation was simulated according to X-ray powder diffraction data

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https://www.eduzhai.net American Journal of M aterials Science 2013, 3(4): 84-90 DOI: 10.5923/j.materials.20130304.04 Modelling the Crystal Structure of a 30 nm Sized Particle based Hydroxyapatite Powder Synthesised under the Influence of Ultrasound Irradiation from X-ray powder Diffraction Data Ravi Krishna Brundavanam, Gé rrard Eddy Jai Poine rn*, De rek Fawce tt Depart Murdoch Applied Nanotechnology Research Group , Department of Physics, Energy Studies and Nanotechnology, School of Engineering and Energy, M urdoch University, Murdoch, Western Australia 6150, Australia Abstract Hydro xyapatite (HAP) is a biocompatib le ceramic that is widely used in a number of bio medical applications and devices. Due the close similarity between nanometer scale fo rms of HAP and the mineral phase found in the natural bone matrix, recent studies have focused on understanding the structure of HAP for its inclusion in a new generation of novel composites. In this study two commerc ia lly available software packages Materials Studio and Endeavour® 1.7b were used to model the crystal structure of a nanometre scale HAP powder fro m X-ray powder diffraction data. The nanometre scale HAP used in this study was prepared via a wet precipitation technique under the influence of ultrasonic irrad iation. The main reactants in this process were[Ca(NO3)2] and[KH2PO4], while[NH4OH] was used as the precipitator. During the process the calciu m phosphate ratio was set at 1.67 and the pH was maintained at 9. The resultant slurries were then thermally t reated in rad iant tube furnace to produce nanometre scale particles with a mean diameter o f 30 n m. Keywords Hydro xyapatite, Powder X-ray Diffraction, Crystal Structure Modelling 1. Introduction The determination of the crystal structure of a new material is frequently the prerequisite for the rational understanding of the solid state properties of a material. Although single crystal X-ray diffraction is a useful technique for determin ing crystal and molecular structures, there are many solids that can only be prepared as microcrystalline powders and therefore cannot be studied using the single crystal diffract ion technique. For these solids, it is necessary to use the powder diffraction technique and then analyse the resulting data to determine the materials structure. To achieve this goal, several analysis techniques have been developed to resolve the diffraction data since the publication of the original Rietveld method in 1969[1]. Generally, these analysis techniques generate a structural model ‘ab initio’ (i.e. without any knowledge of the structure) fro m a powder diffraction pattern using a Rietveld refinement technique [2-4]. Analysis of powder diffraction data has attracted a great *Corresponding author: g.poinern@murdoch.edu.au (Gérrard Eddy Jai Poinern) Published online at https://www.eduzhai.net Copyright © 2013 Scientific & Academic Publishing. All Rights Reserved deal of interest and as a result, considerable progress has been made in developing new techniques that can be used to solve a variety of crystal structures. For examp le, using a direct-space structural solution technique it is possible to solve increasingly complex crystal structures directly from powder diffraction data[5]. Since the advent of the Rietveld refinement technique, determin ing the crystalline structure fro m powder diffraction data has proven to be an indispensable tool for characterising materials fro m X-ray diffraction data and as result, the technique is popular with cry s tallo g rap h ers . Determination of the crystal structure begins with no prior knowledge of the structural arrangement of the atoms or mo lecules with in the unit cell. The powder X-ray diffraction technique is used to obtain a d iffraction pattern and subsequent analysis of the pattern produces an initial crystal structure. If the quality of the init ial structure solution is reasonably good, then the Rietveld refinement technique can be directly used to obtain a high quality solution in the structural refinement stage of the analysis[6]. In general, the in itial crystal structure solution obtained fro m the powder diffraction data is a greater challenge than the subsequent structural refinement stage. So the main emphasis in recent years has focused on the initial structure solution stage, since determining the initial crystal structure using powder diffraction data is not a straight forward American Journal of M aterials Science 2013, 3(4): 84-90 85 procedure. The procedure is complex and generally involves six sequential steps: 1) data collection; 2) indexing; 3) unit cell refinement; 4) space group selection; 5) structure solution; and 6) Rietveld refinement. However, the main problem arises during the indexing step. Despite a wide range of indexing programs, the task is quite challenging especially if the quality of the data is lo w or impurities are present in the sample. A flo wchart of the sequential six step procedure is presented in Figure 1. diffraction study of a nanometre scale crystalline HAP powders synthesised under the influence of u ltrasound irradiation. The powders were thermally treated using a convention tube furnace to produce spherical part icles with a mean d iameter o f 30 ± 5 n m. The results of the X-ray powder diffraction data were then used in two commercially available software packages Materials Studio and Endeavour® 1.7b to develop a 3D crystal structure model of the HAP powder samp le. Two refinement techniques, namely Pawley refinement and Rietveld refinement, were available fro m the software packages. The Endeavour® 1.7b provided the Pawley refinement, while the Materials Studio package incorporated the Rietveld refinement technique. Both modelling packages complimented each other and were ab le to successfully produce a 3D crystal structure model of the HAP powder sample. 2. Materials and Methods Figure 1. Generalised flowchart of a typical procedure used to determine the crystal structure solution from X-ray powder diffraction data Bone tissue is a natural two phase organic-inorganic ceramic co mposite consisting of collagen fibrils and an embedded well-ordered inorganic nano-crystalline component. The primary organic phase of the bone matrix is Type I collagen, which is secreted by osteoblast cells. The collagen forms self-assembled bundles of fibrils, which predominately orientate themselves parallel to the load-bearing axis of the bone. During the self assembly process a gap or hole, typically around 40 n m in size is formed between the ends of the fibrils. Th is pattern creates discrete and discontinuous sites for the deposition of plate-like HAP crystals, which forms the embedded second phase of the bone matrix[7]. The small crystal plates of HAP [Ca10 (PO4)6 (OH)2] are typically 50 n m in length, around 25 n m wide and on average 3 n m thick. A single unit cell of HAP consists of 44 atoms, wh ich include 10 calciu m ato ms, 6 (PO4) tetrahedra, and 2 OH- groups that are all organized into a he xagonal atomic structure[8-11]. The aim of this study was to undertake an X-ray powder 2.1. Materials The main reactants used to synthesis the nanometre sized HAP powders were calciu m nitrate tetrahydrate [Ca(NO3)2.4H2O] and potassium di-hydrogen phosphate [KH2PO4], wh ile the pH control of the solutions was achieved by the addition of ammon iu m hydro xide[NH4OH]. All analytical grade reagents used in this work were supplied by Chem-Supply (Australia). The solutions containing the reactants were synthesised under the influence of ult rasound irradiation, which was provided by an UP50H Ultrasound Processor[50 W, 30 kHz, MS7 Sonotrode (7mm d iameter, 80 mm length)] supplied by Hielscher Ultrasound Technology. All aqueous solutions used throughout this study were made using Milli-Q® water (18.3 MΩ cm-1) produced by an ult rapure water system (Barnstead Ultrapure Water System D11931; Thermo Scientific, Dubuque, IA). 2.2. Synthesis of n-HAP P owders The procedure for producing the nanometre sized HAP powder begins with adding a 40 mL solution o f 0.32M calciu m n itrate tetrahydrate into a small glass beaker. The pH of the solution was then adjusted to 9.0 by slowly adding and mixing appro ximately 2.5 mL of ammoniu m hydroxide. The resulting solution was then exposed to ultrasonic irradiation for 1 h, with the processor set to 50 W and maximu m amplitude. At the end of the first hour a 60 mL solution of 0.19 M potassium di-hydrogen phosphate was then slowly added drop-wise into the first solution while undergoing a second hour of ultrasonic irradiat ion. During the second hour the Calciu m:Phosphate[Ca:P] rat io was maintained at 1.67, while the pH of the solution was checked and maintained at 9.0. At the end of the second hour, the solution was then filtered using centrifugation (15,000 g) for 20 minutes at roo m temperature, the resultant white precip itate sample was then placed into a fused silica 86 Ravi Krishna Brundavanam et al.: M odelling the Crystal Structure of a 30 nm Sized Particle based Hydroxyapatite Powder Synthesised under the Influence of Ultrasound Irradiation from X-ray powder Diffraction Data crucible. The crucible was then placed into a tube furnace and thermally treated at 400 ˚C for 2 h. At the end of the thermal t reatment the sample ended up as a wh ite agglomerated mass. Once cooled, the sample was ball milled to break up the agglo merations and produce an ultrafine nanometre sized HAP powder, see schematic procedure presented in Figure 2. Th is synthesis procedure is repeated until a sufficient amount of the nanometre sized HAP powder was available for X-ray powder d iffraction (XRD) and Field Emission Scanning Electron Microscopy (FESEM ). 2.3. XRD and FES EM Characterisati on Techni ques The size, crystalline structure and morphology of the synthesised nanometre sized HAP powders were primarily investigated using X-ray powder diffraction (XRD). The XRD data was then used to model the crystal structure of the synthesised HAP using Rietveld refinement techniques and computer simu lations. The Field Emission Scanning Electron Microscopy (FESEM) technique was used to study both the size and morphology of the synthesised particles. Powder XRD spectra were recorded at roo m temperature, using a Siemens D500 series diffracto meter [Cu Kα = 1.5406 Å radiation source] operating at 40 kV and 30 mA. The diffraction patterns were collected over a 2θ range fro m 20° to 60° with an incremental step size of 0.04° using flat plane geometry. The acquisition time was set at 2 seconds for each scan. The crystalline size of the particles in the powders was calculated using the Debye-Scherrer equation[Equation 1] fro m the respective XRD patterns and estimated fro m the corresponding FESEM micrographs. The recorded powder XRD data was then used in subsequent modelling techniques. The mo rphological features of the nanometre sized HAP powders were investigated using FESEM. All micrographs were taken using a h igh resolution FESEM [Zeiss 1555 VP-FESEM ] at 3 kV with a 30 µm aperture operating under a pressure of 1×10-10 Torr. In addition, the FESEM micrographs were also used to estimate the nano-HAP particle size by graphically measuring the size o f each particle. The particle size of every particle in a 500 n m square grid was measured and then the mean particle size was determined fro m the collected data. 2.4. Modelling the Nanometre Sized HAP from Powder XRD The software used in modelling the X-ray powder diffraction pattern in this research was the Materials Studio version 4.4[12] and the Endeavour 1.7b[13] programs. In addition, powder indexing was used to determine unit cell parameters and the Pawley refinement procedure was used to determine the space group using the Reflex Module of the Materials Studio software package. The HAP crystal structure solution of the experimental X-ray powder diffraction data was solved using the Endeavour 1.7b software package. And the final HAP structure solution was refined using the Rietveld refinement procedure wh ich is a function in the Reflex Module of Materials Studio software. Figure 2. Schematic of the synthesis procedure used to produce nanometre scale HAP powders American Journal of M aterials Science 2013, 3(4): 84-90 87 3. Results and Discussions 3.1. Results of XRD and FES EM Analysis A typical powder XRD pattern of a synthesised nanometre sized HAP powder thermally treated at 400˚C for 2 h is presented in Figure 3(a). Inspection of Figure 3(a) reveals the presence of crystalline nano metre sized HAP phases, which were found to be consistent with the phases listed in the ICDD database. The main (h k l) indices for nanometre sized HAP: (002), (211), (300), (202), (130), (002), (222) and (213) being indicated in Figure 3(a). The crystalline size, t(hkl), of the synthesized nano-HAP powder was calculated fro m the XRD pattern using the Debye-Scherrer equation[14-17]. t( hkl ) = 0.9λ B cosθ(hkl) (1) where, λ is the wavelength of the monochromatic X-ray beam, B is the Full Width at Half Maximu m (FWHM) of the peak at the maximu m intensity, θ(hkl) is the peak diffraction angle that satisfies Bragg’s law for the (h k l) plane and t(hkl) is the crystallite size. The (002) reflection peak fro m the XRD pattern was used to calculate the nano-HAP crystallite size in this study from the Debye-Scherrer equation and was estimated to have a mean value of 30 ± 5 n m. The FESEM microscopy technique was used to investigate the size and mo rphology of the nanometre sized HAP powders synthesised in this study. A typical micrograph of the synthesised HAP powders is presented in Figure 3(b). Inspection of Figure 3(b) reveals the presence of a sphere like particle mo rphology, wh ich is similar to the particle morphologies previously reported in the literature [15-17]. The mean particle size determined fro m the FESEM micrographs found a mean particle d iameter of 28 ± 5 n m, which co mpared favourably to the calculated mean value of 30 ± 5 n m fro m the XRD spectra. 3.2. Modelling the Powder XRD Data Indexing experimental powder diffract ion data is often the most challenging step in determining a crystal structure for a novel synthetic material. The Materials Studio software package contains the Reflex algorith m module, which provides access to the well-known and popular indexing algorith ms, ITO[18], TREOR90[19] and DICVOL91[20]. In itially, the Cu Kα rad iation source (background) used to measure the XRD pattern was subtracted from the data before the Reflex algorithm module was used to analyse the XRD data. Pattern indexing was carried out using the indexing module TREOR90 and a He xagonal solution was found with unit cell para meters of a = b ~ 9.389 Å, c ~ 6.869 Å, α = β = 90° and γ = 120°. Subsequent Pawley refinement was used to validate the results of powder indexing, since any incorrect cell data has the potential to produce significant deviation between the simu lated and the experimental powder patterns. The refinement confirmed good agreement between the calculated and the experimental data. The resultant we ighted profile R-factor (Rwp) value was (5.39%), while the weighted parameter after background subtraction Rwp (w/o bck) was estimated to be 4.97%. The space group analysis revealed a hexagonal lattice type, with a space group of P63/ m. The results of the refinement are present in Figure 4. Figure 3. (a) Typical experimental powder XRD spectrum of HAP sample, (b) FESEM micrograph showing the spherical morphology of 30 ± 5 nm HAP particles 88 Ravi Krishna Brundavanam et al.: M odelling the Crystal Structure of a 30 nm Sized Particle based Hydroxyapatite Powder Synthesised under the Influence of Ultrasound Irradiation from X-ray powder Diffraction Data Figure 4. Pawley refinement reports of the unit cell parameters for the synthesised HAP powder sample The Endeavour® program was used to determine the crystal structure solution. Initially , the unit cell parameters and space group data from the Pawley refinement were entered into the Endeavour® software package. Further data such as the contents of the unit cell based on the formula sum for HA P[Ca10(PO4)6(OH)2] was entered atom by atom. The advantage of using the Pawley refinement data was that it significantly reduced the computing time and gave a rapid convergence of the data. During the structure solution calculation, the Endeavour® software matches the calculated diffraction pattern of each trial crystal structure to the "experimental” diffraction pattern. The structure solution was successfully comp leted and all crystal structure data necessary for the Rietveld refinement procedure determined. Unfortunately, the current version o f Endeavour® was unable to perform the Rietveld refinement, therefore the crystal structure data was exported to the Materials studio 4.4 software modelling package for refinement. The subsequent Rietveld refinement calculated a Rwp value of 3.49 %, which was significantly s maller than the Rwp value of 5.39% calculated by the earlier Pawley refinement procedure. And since the Rietveld Rwp value of 3.49 % was lower than the Pawley refinement value there was no need to carry out any further refinement. The summary report of the Rietveld refinement for the HAP crystal structure is presented in Figure 5, while the resulting atomic arrangement of the HAP unit cell is schematically presented in Figure 6. The only fractional coordinates that the refinement procedure was unable to resolve were the H1 and O4, items 7 and 8 respectively. The Materials Studio software is currently unable to perform satisfactory refinement of these fract ional co o rd in ates . American Journal of M aterials Science 2013, 3(4): 84-90 89 Figure 5. The Rietveld refinement report of the HAP Structure 4. Conclusions Figure 6. Schematic of the final crystal structure of the HAP sample along C-axis calculated by Rietveld refinement Nanometre scale crystalline HAP powders composed of spherical 30 ± 5 n m particles were synthesised under the influence of ultrasound irradiation and then thermally treated using a tube furnace. After the thermal treat ment, the powders were characterized using powder XRD techniques and the resulting diffraction data was analysed using two commercially availab le software packages Materials Studio and Endeavour® 1.7b. Between the two software packages, a model of the HAP crystal structure was developed. Initia lly, the Pawley refine ment method (results presented in Figure 4) was used to analyse the diffraction data. Then the refined Pawley data was incorporated into the Rietveld refinement technique (Figure 5) to develop a 3D model of the HAP crystal structure. The results of the 3D crystal structure 90 Ravi Krishna Brundavanam et al.: M odelling the Crystal Structure of a 30 nm Sized Particle based Hydroxyapatite Powder Synthesised under the Influence of Ultrasound Irradiation from X-ray powder Diffraction Data modelling were presented schematically in Figure 6. ACKNOWLEDGEMENTS This work was partly supported by the Western Australian Nanochemistry Research Institute (WANRI). Dr Derek Fawcett would like to thank the Bill & Melinda Gates Foundation for their research fellowship. The authors would like to thank Mrs. Sridevi Brundavanam for her assistance in the preparation of this article. [7] E. P. Katz, E. Wachtel, M . Yamauichi, G. L. M echanic. The structure of mineralized collagen fibrils, Connect. Tissue. Res, Vol. 21, (1989), p. 149-158. [8] A. S. Posner, A. Perloff, A. F. Diorio, Refinement of the hydroxyapatite structure, Acta. Cryst, Vol. 11, (1958), p. 308-309. [9] X. M a, D. E. Ellis, Initial stages of hydration and Zn substitution/occupation on hydroxyapatite (0001) surfaces, Biomaterials, Vol. 29, (2008), p. 257-265. [10] J. C. Elliott, Structure and chemistry of the apatites and other calcium Orthophosphates, Amsterdam: Elsevier, 1994. Disclosure The authors report no conflict of interest in this work. [11] L. Calderin, M . J. Stott, A. Rubio, Electronic and crystallographic structure of apatites, Phys. Rev. B, Vol. 67, (2003), p. 134106. [12] Accelrys Inc San Diego, CA USA: http://accelrys.com [13] Crystal Impact - Endeavour 1.7b software: http://www.crysti mp act .com REFERENCES [1] H. M . Rietveld, A profile refinement method for nuclear and magnetic structures, J. Appl. Crystal. Vol. 2, (1969), p. 65–7. [14] V. M . Rusu, C. H. Ng, M . Wilke, B. Tiersch, P. Fratzl, M . G. Peter. Size controlled hydroxyapatite nanoparticles as self-organised organic-inorganic composite materials. Biomaterials, Vol. 26, (2005), p. 5414-5426. [2] G. E. Engel, S. Wilke, O. König, K. D. M . Harris, F. J. J. [15] S. N. Danilchenko, O. G. Kukharenko, C. M oseke, I. Y. Leusen, PowderSolve: A complete package for crystal Protsenko, L. F. Sukhodub, B. Sulkio-Cleff, Determination of structure solution from powder diffraction patterns, J. Appl. the bone mineral crystallite size and lattice strain from Crystal. 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