Abstract
In the processes of preparation and application of nanomaterials, the chemical reactions of nanoparticles are often involved, and the size of nanoparticles has dramatic influence on the reaction kinetics. Nevertheless, there are many conflicts on regularities of size dependence of reaction kinetic parameters, and these conflicts have not been explained so far. In this paper, taking the reaction of nano-ZnO (average diameter is from 20.96 to 53.31 nm) with acrylic acid solution as a system, the influence regularities of the particle size on the kinetic parameters were researched. The regularities were consistent with that in most literatures, but inconsistent with that in a few of literatures, the reasons for the conflicts were interpreted. The reasons can be attributed to two factors: one is improper data processing for fewer data points, and the other is the difference between solid particles and porous particles. A general regularity of the size dependence of reaction kinetics for solid particles was obtained. The regularity shows that with the size of nanoparticles decreasing, the rate constant and the reaction order increase, while the apparent activation energy and the pre-exponential factor decrease; and the relationships of the logarithm of rate constant, the logarithm of pre-exponential factor, and the apparent activation energy to the reciprocal of the particle size are linear, respectively.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Abdel-Wareth W, Xu X (2012) Particle size effect on ammonium perchlorate decomposition kinetics. J Aerosp Power 27(5):1179–1184
Abdul Mujeeb VM, Muraleedharan K, Kannan MP, Ganga Devi T (2012) The effect of particle size on the thermal decomposition kinetics of potassium bromate. J Therm Anal Calorim 108(3):1171–1182
Antonijević MM, Janković ZD, Dimitrijević MD (2004) Kinetics of chalcopyrite dissolution by hydrogen peroxide in sulphuric acid. Hydrometallurgy 71(3):329–334
Coda B, Tognotti L (2000) The prediction of char combustion kinetics at high temperature. Exp Thermal Fluid Sci 21(1):79–86
Criado JM, Ortega A (1992) A study of the influence of particle size on the thermal decomposition of CaCO3 by means of constant rate thermal analysis. Thermochim Acta 195:163–167
Cui ZX, Zhao MZ, Lai WP, Xue YQ (2011) Thermodynamics of size effect on phase transition temperatures of dispersed phases. J Phys Chem C 115(46):22796–22803
Eletskii AV, Zitserman VYE, Kobzev GA (2015) Nanocarbon materials: physicochemical and exploitation properties, synthesis methods, and enegretic applications. Teplofiz Vys Temp 53(1):117–140
Jagtap SB, Pande AR, Gokarn AN (1992) Kinetics of thermal decomposition of siderite: effect of particle size. Int J Miner Process 36(1):113–124
Khan SA, Zulfequar M, Husain M (2002) On the crystallization kinetics of amorphous Se80 In 20−x Pbx. Solid State Commun 123(10):463–468
Liu R, Zhang T, Yang L, Zhou Z (2014) Effect of particle size on thermal decomposition of alkali metal picrates. Thermochim Acta 583:78–85
Lu Y, Zhang X, Chen M (2013) Size effect on nucleation rate for homogeneous crystallization of nanoscale water film. J Phys Chem B 117(35):10241–10249
Ma W, Jacobs G, Sparks DE, Gnanamani MK, Pendyala VRR, Yen CH, Klettlinger JLS, Tomsik TM, Davis BH (2011) Fischer–Tropsch synthesis: support and cobalt cluster size effects on kinetics over Co/Al2O3 and Co/SiO2 catalysts. Fuel 90(2):756–765
Nugroho YS, McIntosh AC, Gibbs BM (2000) Low-temperature oxidation of single and blended coals. Fuel 79(15):1951–1961
Shin JH, Bae DH (2014) Effect of the TiO2 nanoparticle size on the decomposition behaviors in aluminum matrix composites. Mater Chem Phys 143(3):1423–1430
Shui M, Yue L, Hua Y, Xu Z (2002) The decomposition kinetics of the SiO2 coated nano-scale calcium carbonate. Thermochim Acta 386(1):43–49
Simakova OA, Murzina EV, Murzin DY (2014) Structure sensitivity in heterogeneous catalysis with noncompetitive adsorption of reactants: selective oxidation of lignan hydroxymatairesinol to oxomatairesinol over gold catalysts. C R Chim 17(7):770–774
Svoboda R, Málek J (2013) Crystallization kinetics of amorphous Se. J Therm Anal Calorim 114(2):473–482
Taylor LS, York P (1998) Effect of particle size and temperature on the dehydration kinetics of trehalose dihydrate. Int J Pharm 167(1):215–221
Van Dooren AA, Müller BW (1983) Effects of experimental variables on the determination of kinetic parameters with differential scanning calorimetry. I. Calculation procedures of Ozawa and Kissinger. Thermochim Acta 65(2):257–267
Wang BX, Zhou LP, Peng XF (2006) Surface and size effects on the specific heat capacity of nanoparticles. Int J Thermophys 27(1):139–151
Xue YQ, Zhao H, Du JP (2006) Effect of particle size on kinetic parameters of heterogeneous reactions. Wuji Huaxue Xuebao 22(11):1952–1956
Xue YQ, Xia XY, Cui ZX, Shi JQ (2014) The size dependences of kinetic parameters of a nanoparticle reaction in theory and experiment. J Comput Theor Nanosci 11:1–7
Yoshioka T, Motoki T, Okuwaki A (2001) Kinetics of hydrolysis of poly (ethylene terephthalate) powder in sulfuric acid by a modified shrinking-core model. Ind Eng Chem Res 40(1):75–79
Zhou L, Rai A, Piekiel N, Ma X, Zachariah MR (2008) Ion-mobility spectrometry of nickel nanoparticle oxidation kinetics: application to energetic materials. J Phys Chem C 112(42):16209–16218
Acknowledgments
This work was supported by the National Natural Science Foundation of China (No. 21373147).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Cui, Z., Duan, H., Xue, Y. et al. An investigation of the general regularity of size dependence of reaction kinetics of nanoparticles. J Nanopart Res 17, 208 (2015). https://doi.org/10.1007/s11051-015-3017-2
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s11051-015-3017-2