Determining the sintering kinetics of Fe and Fe_xO_y-Nanoparticles in a well-defined model flow reactor

References

• Babick, F., L. Hillemann, M. Stintz, T. Dillenburger, M. Pitz, A. Hellmann, S. Antonyuk, S. Ripperger, F. J. T. Huber, S. Will, et al. 2018. Multiparameter characterization of aerosols. Chem. Ing. Tech. 90 (7):923–36. doi:10.1002/cite.201700094.
   Web of Science ®Google Scholar
• Blake, R. L., R. E. Hessevick, T. Zoltai, and L. W. Finger. 1966. Refinement of the hematite structure. Am. Mineral. 51 (1–2):123–9.
   Web of Science ®Google Scholar
• Cho, K., C. Hogan, and P. Biswas. 2007. Study of the mobility, surface area, and sintering behavior of agglomerates in the transition regime by tandem differential mobility analysis. J. Nanopart. Res. 9 (6):1003–12. doi:10.1007/s11051-007-9243-5.
   Web of Science ®Google Scholar
• DeCarlo, P., J. Slowik, D. Worsnop, P. Davidovits, and J. Jimenez. 2004. Particle morphology and density characterization by combined mobility and aerodynamic diameter measurements. Part 1: theory. Aerosol Sci. Technol. 38 (12):1185–205. doi:10.1080/027868290903907.
   Web of Science ®Google Scholar
• Eggersdorfer, M., D. Kadau, H. Herrmann, and S. Pratsinis. 2012. Aggregate morphology evolution by sintering: number & diameter of primary particles. J Aerosol Sci . 46:7–19. doi:10.1016/j.jaerosci.2011.11.005.
   PubMed Web of Science ®Google Scholar
• Eggersdorfer, M., and S. Pratsinis. 2013. Restructuring of aggregates and their primary particle size distribution during sintering. AIChE J. 59 (4):1118–26. doi:10.1002/aic.14043.
   Web of Science ®Google Scholar
• Ewels, P., T. Sikora, V. Serin, C. Ewels, and L. Lajaunie. 2016. A complete overhaul of the electron energy-loss spectroscopy and X-ray absorption spectroscopy database: Eelsdb.Eu. Microsc. Microanal. 22 (3):717–24. doi:10.1017/S1431927616000179.
   PubMed Web of Science ®Google Scholar
• Feldhoff, A., J. Martynczuk, M. Arnold, M. Myndyk, I. Bergmann, V. Šepelák, W. Gruner, U. Vogt, A. Hähnel, and J. Woltersdorf. 2009. Spin-state transition of iron in (perovskite). J. Solid State Chem. 182 (11):2961–71. doi:10.1016/j.jssc.2009.07.058.
   Web of Science ®Google Scholar
• Fleet, M. E. 1981. The structure of magnetite. Acta Crystallogr. B Struct. Crystallogr. Cryst. Chem. 37 (4):917–20. doi:10.1107/S0567740881004597.
   Google Scholar
• Friedlander, S. K., and M. K. Wu. 1994. Linear rate law for the decay of the excess surface area of a coalescing solid particle. Phys Rev B Condens Matter . 49 (5):3622–4. doi:10.1103/PhysRevB.49.3622.
   PubMed Web of Science ®Google Scholar
• German, R. M. 1996. Sintering Theory and Practice. New York: John Wiley & Sons.
   Google Scholar
• Goudeli, E., A. Gröhn, and S. Pratsinis. 2016. Sampling and dilution of nanoparticles at high temperature. Aerosol Sci. Technol. 50 (6):591–604. doi:10.1080/02786826.2016.1168922.
   Web of Science ®Google Scholar
• Hallberg, R. T., L. Ludvigsson, C. Preger, B. O. Meuller, K. A. Dick, and M. E. Messing. 2018. Hydrogen-assisted spark discharge generated metal nanoparticles to prevent oxide formation. Aerosol Sci. Technol. 52 (3):347–58. doi:10.1080/02786826.2017.1411580.
   Web of Science ®Google Scholar
• Hontañón, E., J. Palomares, M. Stein, X. Guo, R. Engeln, H. Nirschl, and F. E. Kruis. 2013. The transition from spark to arc discharge and its implications with respect to nanoparticle production. J. Nanopart. Res. 15 (9):1957. doi:10.1007/s11051-013-1957-y.
   Web of Science ®Google Scholar
• Hull, A. W. 1917. A new method of x-ray crystal analysis. Phys. Rev 10 (6):661–96. doi:10.1103/PhysRev.10.661.
   Google Scholar
• Kim, S., J. Wang, M. Emery, W. Shin, G. Mulholland, and D. Pui. 2009. Structural property effect of nanoparticle agglomerates on particle penetration through fibrous filter. Aerosol Sci. Technol. 43 (4):344–55. doi:10.1080/02786820802653763.
   Web of Science ®Google Scholar
• Kirchhof, M. J., H. Förster, H. J. Schmid, and W. Peukert. 2012. Sintering kinetics and mechanism of vitreous nanoparticles. J. Aerosol Sci. 45:26–39. doi:10.1016/j.jaerosci.2011.10.006.
   Web of Science ®Google Scholar
• Kirchhof, M. K., H. J. Schmid, and W. Peukert. 2004. Reactor system for the study of high-temperature short-time sintering of nanoparticles. Rev. Sci. Instrum. 75 (11):4833–40. doi:10.1063/1.1809258.
   Web of Science ®Google Scholar
• Knight, P. C., J. P. K. Seville, H. Kamiya, and M. Horio. 2000. Modelling of sintering of iron particles in high-temperature gas fluidisation. Chem. Eng. Sci. 55 (20):4783–7. doi:10.1016/S0009-2509(00)00055-5.
   Web of Science ®Google Scholar
• Koch, W., and S. K. Friedlander. 1990. The effect of particle coalescence on the surface area of a coagulating aerosol. J. Colloid Interface Sci. 140 (2):419–27. doi:10.1016/0021-9797(90)90362-R.
   Web of Science ®Google Scholar
• Kolb, M., and H. Herrmann. 1987. Surface fractals in irreversible aggregation. Phys. Rev. Lett. 59 (4):454–7. doi:10.1103/PhysRevLett.59.454.
   PubMed Web of Science ®Google Scholar
• Kramer, C., and R. German. 1978. Low-temperature sintering of iron oxides. J. Am. Ceramic Soc. 61 (7–8):340–2. doi:10.1111/j.1151-2916.1978.tb09324.x.
   Web of Science ®Google Scholar
• Krishnan, K. 1990. Iron L3,2 near-edge fine structure studies. Ultramicroscopy 32 (4):309–11. doi:10.1016/0304-3991(90)90076-X.
   Web of Science ®Google Scholar
• Kruis, F. E., K. Kusters, S. Pratsinis, and B. Scarlett. 1993. A simple model for the evolution of the characteristics of aggregate particles undergoing coagulation and sintering. Aerosol Sci. Technol. 19 (4):514–26. doi:10.1080/02786829308959656.
   Web of Science ®Google Scholar
• Kuczynski, G. C. 1949. Self-diffusion in sintering of metallic particles. J. Mineral. Metal Mater. Soc. 1 (2):169–78. doi:10.1007/BF03398090.
   Google Scholar
• Lagarias, J., J. Reeds, M. Wright, and P. Wright. 1998. Convergence properties of the nelder–mead simplex method in low dimensions. SIAM J. Optim. 9 (1):112–47. doi:10.1137/S1052623496303470.
   Web of Science ®Google Scholar
• Li, Z., and H. Wang. 2004. Thermophoretic force and velocity of nanoparticles in the free molecule regime. Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 70 (2 Pt 1):021205. doi:10.1103/PhysRevE.70.021205. }.
   PubMed Web of Science ®Google Scholar
• Liao, B.-X., W.-C. Gong, Z. Li, and C.-J. Tsai. 2019. A mass correction method for the aerosol particle mass analyzer to measure the particle mass of sub-50 nm nanoparticles. Aerosol Sci. Technol. 53 (9):1056–66. doi:10.1080/02786826.2019.1626345.
   Web of Science ®Google Scholar
• Lutterotti, L. 2010. Total pattern fitting for the combined size–strain–stress–texture determination in thin film diffraction. Nucl. Instrum. Methods Phys. Res, Sect. B 268 (3–4):334–40. doi:10.1016/j.nimb.2009.09.053.
   Web of Science ®Google Scholar
• Manchili, S., J. Wendel, E. Hryha, and L. Nyborg. 2020. Analysis of iron oxide reduction kinetics in the nanometric scale using hydrogen. Nanomaterials. 10 (7):1276. doi:10.3390/nano10071276.
   Web of Science ®Google Scholar
• Matsumura, G. 1971. Sintering of iron wires. Acta Metall. 19 (8):851–5. doi:10.1016/0001-6160(71)90141-6.
   Google Scholar
• Mikami, T., H. Kamiya, and M. Horio. 1996. The mechanism of defluidization of iron particles in a fluidized bed. Powder Technol. 89 (3):231–8. doi:10.1016/S0032-5910(96)03187-7.
   Web of Science ®Google Scholar
• Okudera, H. 1997. Single crystal X-ray studies of cation-deficient magnetite. Zeitsch Kristallograph Crystal Mater. 212 (6):458–61. doi:10.1524/zkri.1997.212.6.458.
   Google Scholar
• Park, K., D. Kittelson, and P. McMurry. 2004. Structural properties of diesel exhaust particles measured by transmission electron microscopy (TEM): relationships to particle mass and mobility. Aerosol Sci. Technol. 38 (9):881–9. doi:10.1080/027868290505189.
   Web of Science ®Google Scholar
• Pratsinis, S. 1988. Simultaneous nucleation, condensation, and coagulation in aerosol reactors. J. Colloid Interface Sci. 124 (2):416–27. doi:10.1016/0021-9797(88)90180-4.
   Web of Science ®Google Scholar
• Rosenberger, T., D. Kiesler, E. Hontañón, D. Fuentes, E. Ramiro, and F. E. Kruis. 2019. Design and optimization of a medium flow differential mobility analyzer (MF-DMA) for classification of high-density particles. Aerosol Sci. Technol. 53 (10):1172–85. doi:10.1080/02786826.2019.1642443.
   Web of Science ®Google Scholar
• Rosenberger, T., A. Münzer, D. Kiesler, H. Wiggers, and F. E. Kruis. 2018. Ejector-based sampling from low-pressure aerosol reactors. J. Aerosol Sci. 123:105–15. doi:10.1016/j.jaerosci.2018.06.003.
   Web of Science ®Google Scholar
• Rosenberger, T., J. Sellmann, I. Wlokas, and F. E. Kruis. 2020. A model flow reactor design for the study of nanoparticle structure formation under well-defined conditions. Rev. Sci. Instrum. 91 (9):095114. doi:10.1063/5.0018880.
   PubMed Web of Science ®Google Scholar
• Scheckman, J., P. McMurry, and S. Pratsinis. 2009. Rapid characterization of agglomerate aerosols by in situ mass-mobility measurements. Langmuir 25 (14):8248–54. doi:10.1021/la900441e.
   PubMed Web of Science ®Google Scholar
• Schmidt-Ott, A. 1988. New approaches to in situ characterization of ultrafine agglomerates. J. Aerosol Sci. 19 (5):553–63. doi:10.1016/0021-8502(88)90207-8.
   Web of Science ®Google Scholar
• Schwyn, S., E. L. Garwin, and A. Schmidt-Ott. 1988. Aerosol generation by spark discharge. J. Aerosol Sci. 19 (5):639–42. doi:10.1016/0021-8502(88)90215-7.
   Web of Science ®Google Scholar
• Seipenbusch, M., A. Weber, A. Schiel, and G. Kasper. 2003. Influence of the gas atmosphere on restructuring and sintering kinetics of nickel and platinum aerosol nanoparticle agglomerates. J. Aerosol Sci. 34 (12):1699–709. doi:10.1016/S0021-8502(03)00355-0.
   Web of Science ®Google Scholar
• Stein, M., D. Kiesler, and F. E. Kruis. 2013. Adjustment and online determination of primary particle size in transferred arc synthesis of copper nanoparticles. Aerosol Sci. Technol. 47 (11):1276–84. doi:10.1080/02786826.2013.835484.
   Web of Science ®Google Scholar
• Tabrizi, N. S., M. Ullmann, V. Vons, U. Lafont, and A. Schmidt-Ott. 2009. Generation of nanoparticles by spark discharge. J. Nanopart. Res. 11 (2):315–32. doi:10.1007/s11051-008-9407-y.
   Web of Science ®Google Scholar
• Tavakoli, F., and J. Olfert. 2014. Determination of particle mass, effective density, mass–mobility exponent, and dynamic shape factor using an aerodynamic aerosol classifier and a differential mobility analyzer in tandem. J. Aerosol Sci. 75:35–42. doi:10.1016/j.jaerosci.2014.04.010.
   Web of Science ®Google Scholar
• Tence, M., J. Chevalier, R, and Jullien, j. 1986. On the measurement of the fractal dimension of aggregated particles by electron microscopy: experimental method, corrections and comparison with numerical models. J. Phys. France. 47 (11):1989–98. doi:10.1051/hys:0198600470110198900.
   Google Scholar
• Zhao, J., F. E. Huggins, Z. Feng, F. L. Lu, N. Shah, and G. P. Huffman. 1993. Structure of a nanophase iron oxide catalyst. J. Catal. 143 (2):499–509. doi:10.1006/jcat.1993.1293.
   Web of Science ®Google Scholar