Chin. Phys. Lett.  2009, Vol. 26 Issue (6): 066201    DOI: 10.1088/0256-307X/26/6/066201
CONDENSED MATTER: STRUCTURE, MECHANICAL AND THERMAL PROPERTIES |
Size- and Temperature-Dependent Thermal Expansion Coefficient of a Nanofilm
ZHOU Li-Jun1, GUO Jian-Gang2, ZHAO Ya-Pu3
1Department of Mechanical Engineering, Tianjin University of Technology and Education, Tianjin 3002222Department of Mechanics, Tianjin University, Tianjin 3000723State Key Laboratory of Nonlinear Mechanics, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190
Cite this article:   
ZHOU Li-Jun, GUO Jian-Gang, ZHAO Ya-Pu 2009 Chin. Phys. Lett. 26 066201
Download: PDF(246KB)  
Export: BibTeX | EndNote | Reference Manager | ProCite | RefWorks
Abstract The thermal expansion coefficient (TEC) of an ideal crystal is derived by using a method of Boltzmann statistics. The Morse potential energy function is adopted to show the dependence of the TEC on the temperature. By taking the effects of the surface relaxation and the surface energy into consideration, the dimensionless TEC of a nanofilm is derived. It is shown that with decreasing thickness, the TEC can increase or decrease, depending on the surface relaxation of the nanofilm.
Keywords: 62.25.+g      65.80.+n      68.35.-p     
Received: 21 November 2008      Published: 01 June 2009
PACS:  62.25.+g  
  65.80.+n  
  68.35.-p (Solid surfaces and solid-solid interfaces: structure and energetics)  
TRENDMD:   
URL:  
https://cpl.iphy.ac.cn/10.1088/0256-307X/26/6/066201       OR      https://cpl.iphy.ac.cn/Y2009/V26/I6/066201
Service
E-mail this article
E-mail Alert
RSS
Articles by authors
ZHOU Li-Jun
GUO Jian-Gang
ZHAO Ya-Pu
[1] Renault P O et al 2003 Appl. Phys. Lett. 83473
[2] Salvadori M C et al 2003 Phys. Rev. B 67153404
[3] Villain P et al 2002 Appl. Phys. Lett. 81 4365
[4] Nilsson S G et al 2004 Appl. Phys. Lett. 853555
[5] Streitz F H, Cammarata R C and Sieradzki K 1994 Phys.Rev. B 49 10699
[6] Wang J, Huang Q A and Yu H 2008 Chin. Phys. Lett. 25 1403
[7] Wang J, Huang Q A and Yu H 2008 J. Phys. D: Appl.Phys. 41 165406
[8] Wang J, Huang Q A and Yu H 2008 Appl. Surf. Sci. 256 2449
[9] Gu M X, Sun C Q, Chen Z, Yeung T C A, Li S, Tan C M andNosik V 2007 Phys. Rev. B 75 125403
[10] Ao Z M, Li S and Jiang Q 2008 Appl. Phys. Lett. 93 081905
[11] Guo J G and Zhao Y P 2005 J. Appl. Phys. 98074306
[12] Guo J G and Zhao Y P 2007 Surf. Rev. Lett. 14667
[13] Guo J G and Zhao Y P 2007 Nanotechnoloy 18295701
[14] Guo J G, Zhou L J and Zhao Y P 2008 Surf. Rev.Lett. 15 599
[15] Zhou L G and Huang H C 2004 Appl. Phys. Lett. 84 1940
[16] Wolf D 1991 Appl. Phys. Lett. 58 2081
[17] Shenoy V B 2005 Phys. Rev. B 71 094104
[18] Villain P, Beauchamp P, Badwi K F, Goudeau P and RenaultPO 2004 Scripta Mater. 50 1247
[19] Zhao Y H and Lu K 1997 Phys. Rev. B 56 14330
[20] Kuru Y, Wohlschlogel M, Welzel U and Mittemeijer E J 2007 Appl. Phys. Lett. 90 243113
[21] Fang W L and Lo C Y 2000 Sensors Actuators A 84 310
[22] Wagner M 1992 Phys. Rev. B 45 635
[23] Yang C C, Xiao M X, Li W and Jiang Q 2006 SolidState Commun. 139 148
[24] Pathak S and Shenoy V B 2005 Phys. Rev. B 72113404
[25] Cleland A N 2003 Foundations of Nanomechanics(Berlin: Springer)
[26] Wang Z D, Zhao X X, Jiang S Q and Lu J J 2005 Polymer Test. 24 839
[27] Tada H, Kumpel A E, Lathrop R E, Slanina J B, Nieva P,Zavracky P, Miaoulis I N and Wong P Y 2000 J. Appl. Phys. 87 4189
[28] Wang S R, Liang Z Y, Gonnet P, Liao Y H, Wang B and ZhangC 2007 Adv. Function. Mater. 17 87
[29] Morse P M 1929 Phys. Rev. 34 57
[30] Lim T C 2008 J. Math. Chem. 43 1573
[31] Lim T C 2007 Mol. Phys. 105 1013
[32] Lincoln R C, Koliwad K M and Ghate P B 1967 Phys.Rev. 157 463
[33] Cammarata R C 1994 Prog. Surf. Sci. 46 1
Related articles from Frontiers Journals
[1] LI Deng-Feng **, GUO Zhi-Cheng, LI Bo-Lin, DONG Hui-Ning, XIAO Hai-Yan . Structural and Electronic Properties of Sulfur-Passivated InAs(001) ( 2×6 ) Surface[J]. Chin. Phys. Lett., 2011, 28(8): 066201
[2] ZHOU Li-Ling . Unique Properties of Heat Generation in Nanoscale Systems[J]. Chin. Phys. Lett., 2011, 28(12): 066201
[3] HUANG Hai-Chao, WANG Hai-Bo, YAN Dong-Hang. Heterojunction Effect in Weak Epitaxy Growth Thin Films Investigated by Kelvin Probe Force Microscopy[J]. Chin. Phys. Lett., 2010, 27(8): 066201
[4] LI Deng-Feng, XIAO Hai-Yan, XUE Shu-Wen, YANG Li, ZU Xiao-Tao. Surface Structure and Electronic Property of InP(001)-(2×1)S Surface: A First-Principles Study[J]. Chin. Phys. Lett., 2010, 27(4): 066201
[5] YUN Jiang-Ni, ZHANG Zhi-Yong, YAN Jun-Feng, ZHANG Fu-Chun. First Principles Study of Adsorption and Reaction of CO on SrTiO3 (100) Surface: the Role of Surface Oxygen Vacancies[J]. Chin. Phys. Lett., 2010, 27(1): 066201
[6] YIN Bing, DONG Shun-Le. Molecular Dynamical Simulation of Water/Ice Phase Transitions within Carbon Nanotubes under Various Pressures[J]. Chin. Phys. Lett., 2009, 26(8): 066201
[7] HUANG Wei-Qi, LÜ, Quan, XU Li, ZHANG Rong-Tao, WANG Hai-Xu, JIN Feng. Various Trap States at SiGe-SiO2 Interface Formed by a Pulsed Laser[J]. Chin. Phys. Lett., 2009, 26(2): 066201
[8] FENG Kan, LI Zheng. Buckling Analysis of Soft Nanostructure in Nanoimprinting[J]. Chin. Phys. Lett., 2009, 26(12): 066201
[9] TANG Zhe, YANG Shen-Yuan, JIANG Ying, WANG Wen-Xin, JIA Jin-Feng, XUEQi-Kun, WANG En-Ge, WU Ke-Hui. Bi- and Au-Induced Reconstructions on GaAs(001)-2×4 Surface[J]. Chin. Phys. Lett., 2008, 25(8): 066201
[10] HUANG Xiao-Peng, HUAI Xiu-Lan. Molecular Dynamics Simulation of Thermal Conductivity in Si--Ge Nanocomposites[J]. Chin. Phys. Lett., 2008, 25(8): 066201
[11] CAO Bing-Yang, HOU Quan-Wen. Thermal Conductivity of Carbon Nanotubes Embedded in Solids[J]. Chin. Phys. Lett., 2008, 25(4): 066201
[12] HUNDUR Yakup, GUVENC Ziya B, HIPPLER Rainer. Dynamical Analysis of Sputtering at Threshold Energy Range: Modelling of Ar+Ni(100) Collision System[J]. Chin. Phys. Lett., 2008, 25(2): 066201
[13] YANG Meng-Jin, LAI Wen-Sheng, PAN Feng. Elastic Modulus and Hardness of Cr--Nb Nano-Multilayers[J]. Chin. Phys. Lett., 2007, 24(9): 066201
[14] GE Yong, DONG Jin-Ming. Heat Conductivity of One-Dimensional Carbon Chain in an External Potential[J]. Chin. Phys. Lett., 2007, 24(9): 066201
[15] YUAN Shi-Jun, KONG Yong, LI Fa-Shen. Mechanical Properties of Single-Walled (5,5) Carbon Nanotubes with Vacancy Defects[J]. Chin. Phys. Lett., 2007, 24(7): 066201
Viewed
Full text


Abstract