1Key Laboratory of Low Dimensional Quantum Structures and Quantum Control of Ministry of Education, Department of Physics, Hunan Normal University, Changsha 410081 2College of Mathematics and Physics, University of South China, Hengyang 421001 3College of Mathematics and Computer Science, Hunan Normal University, Changsha 410081 4Computer and Information Engineering School, Central South University of Forestry and Technology, Changsha 410004 5Department of Physics, Guangxi University, Nanning 530004 6Department of Applied Physics, Hunan University, Changsha 410082 7International Centre for Materials Physics, Chinese Academy of Sciences, Shenyang 110015
Size Model of Critical Temperature for Grain Growth in Nano V and Au
1Key Laboratory of Low Dimensional Quantum Structures and Quantum Control of Ministry of Education, Department of Physics, Hunan Normal University, Changsha 410081 2College of Mathematics and Physics, University of South China, Hengyang 421001 3College of Mathematics and Computer Science, Hunan Normal University, Changsha 410081 4Computer and Information Engineering School, Central South University of Forestry and Technology, Changsha 410004 5Department of Physics, Guangxi University, Nanning 530004 6Department of Applied Physics, Hunan University, Changsha 410082 7International Centre for Materials Physics, Chinese Academy of Sciences, Shenyang 110015
摘要The intrinsic thermodynamical factors that dominate the stability of nanocrystallines are investigated through the microcosmic process of grain growth. The results suggest that nanocrystallines grows at a certain temperature and the critical temperature is determined by the vacancy formation energy and diffusion activation energy of the nanocrystallines. Based on the hypothesis, a simple model is proposed to predict the size-dependent critical temperature of grain growth. Within this model, we investigate the thermal stability of nanocrystallines V and Au, compared with the results available. It is shown that the critical temperature decreases with decreasing size, showing an evident size effect. The research reveals that the thermal stability is dependent on the energetic state of the nanocrystallines and the mobility of the inner atoms.
Abstract:The intrinsic thermodynamical factors that dominate the stability of nanocrystallines are investigated through the microcosmic process of grain growth. The results suggest that nanocrystallines grows at a certain temperature and the critical temperature is determined by the vacancy formation energy and diffusion activation energy of the nanocrystallines. Based on the hypothesis, a simple model is proposed to predict the size-dependent critical temperature of grain growth. Within this model, we investigate the thermal stability of nanocrystallines V and Au, compared with the results available. It is shown that the critical temperature decreases with decreasing size, showing an evident size effect. The research reveals that the thermal stability is dependent on the energetic state of the nanocrystallines and the mobility of the inner atoms.
(Theory and models of crystal growth; physics and chemistry of crystal growth, crystal morphology, and orientation)
引用本文:
LU Yun-Bin;LIAO Shu-Zhi**;PENG Hao-Jun;ZHANG Chun;ZHOU Hui-Ying;XIE Hao-Wen;OUYANG Yi-Fang;ZHANG Bang-Wei;
. Size Model of Critical Temperature for Grain Growth in Nano V and Au[J]. 中国物理快报, 2011, 28(8): 80502-080502.
LU Yun-Bin, LIAO Shu-Zhi**, PENG Hao-Jun, ZHANG Chun, ZHOU Hui-Ying, XIE Hao-Wen, OUYANG Yi-Fang, ZHANG Bang-Wei,
. Size Model of Critical Temperature for Grain Growth in Nano V and Au. Chin. Phys. Lett., 2011, 28(8): 80502-080502.
[1] Birringer R, Herr U and Gleiter H 1986 Trans. Jpn. Int. Met. Suppl 43 27
[2] Andres R P, Averback R S, Brown W L, Brus L E, Goddard W A, Kaldor K and Siegel R W 1989 J. Mater. Res. 4 704
[3] Tjong S C and Chen H 2004 Mater. Sci. Engin. R 45 1
[4] Atkinson H V 1988 Acta Metall. 36 469
[5] Lu K 1991 Scripta Metallurgica et Materialia 25 2047
[6] Gleiter H 1989 Prog. Mater. Sci. 33 223
[7] Inami T, Okuda S, Maeta H et al 1998 Mater. Trans. JIM 39 1029
[8] Inami T, Kobiyama M, Okuda S et al 1999 Nanostruct. Mater. 12 657
[9] Würschum R, Gruss S, Gissibl B et al 1997 Nanostruct. Mater. 9 615
[10] Würschum R, Reimann K, Gruss S et al 1997 Phil. Mag. B 76 407
[11] Wei M Z, Xiao S F, Yuan X J et al 2006 Sci. Chin. E 36 960
[12] Li L M, Song X Y, Zhang J X et al 2007 Prog. Nature Sci. 17 1316
[13] Gleiter H 2000 Acta Mater. 48 1
[14] Jin S F, Wang W M and Zhou J K 2005 Chin. Phys. 14 2565
[15] Estrin Y, Gottstein G and Shvindlerman L S 1999 Scripta Materialia 41 385
[16] Schmitten W, Haasen P and Häßner F 1960 Z. Metall. 51 101
[17] Lücke K and Gottstein G 1981 Acta Metall. 29 779
[18] Estrin Y and LUcke K 1981 Acta Metall. 29 791
[19] Kraftmakher Y 1998 Phys. Rep 79 299
[20] Yang C C and Li S 2007 Phys. Rev. B 75 165413
[21] Korhonen T, Puska M J and Nieminen R M 1995 Phys. Rev. B 51 9526
[22] Zhang C J and Alavi A 2005 J. Am. Chem. Soc. 127 9808
[23] Shibata T, Bunker B A, Zhang Z, Meisel D, Vardeman II C F and Gezelter J D 2002 J. Am. Chem. Soc. 124 11989
[24] Phillpot S R, Wang J, Wolf D et al 1995 Mater. Sci. Engin. A 204 76
[25] Keblinski P, Phillpot S R, Wolf D et al 1997 Nanostruct. Mater. 9 651
[26] http://www.webelements.com/
[27] Jiang Q, Li J C and Chi B Q 2002 Chem. Phys. Lett. 366 551