基于金属型碳纳米管在电场中变形的柱壳理论

洪文亮; 郭兴明

doi:10.3879/j.issn.1000-0887.2010.03.001

基于金属型碳纳米管在电场中变形的柱壳理论

doi: 10.3879/j.issn.1000-0887.2010.03.001

上海大学上海市应用数学和力学研究所,上海 200072

基金项目: 国家自然基金资助项目(10972128;10472061);教育部博士点基金资助项目(20060280015);上海市重点学科建设基金资助项目(S30106)

详细信息

作者简介:
洪文亮(1983- ),男,江西九江人,硕士(E-mail:hong246094@163.com);郭兴明(1964- ),男,湖南常德人,教授(联系人.E-mail:xmguo@shu.edu.cn).

中图分类号: O343;TB383
计量
- 文章访问数: 1692
- HTML全文浏览量: 142
- PDF下载量: 948
- 被引次数: 0
出版历程
- 收稿日期: 1900-01-01
- 修回日期: 2010-02-04
- 刊出日期: 2010-03-15

Deformation of Metallic Single-Walled Carbon Nanotubes in the Electric Field Based on Elastic Theory

Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P. R. China

摘要

摘要: 提出了关于金属型碳纳米管在电场中变形的柱壳理论．借助于半球模型，得到了金属型碳纳米管在电场中的电荷与电场分布的解析解．将带电碳原子所受的电场力看作是碳纳米管的内力，根据柱壳理论碳纳米管在电场中的变形被解析地给出．结果表明：碳纳米管的长径比对碳纳米管在电场中的变形有重大影响，长径比越大，碳纳米管的变形越明显；碳纳米管的径向变形沿轴向是不均匀的，最大的径向变形出现于碳纳米管的端部；更为有意义的是，即使外加电场不够大，对于长径比很大的碳纳米管仍然可以表现出明显的变形．
- 手性碳纳米管 /
- 电致变形 /
- 解析解
Abstract: The electromechanical properties of metallic single-walled carbon nanotubes (SWCNTs) in the electric field are demonstrated via a column shell model. A model of hemisphere was in troduced to determine the charge distribution and localelectric field on SWCNTs. It is shown that, regarding the SWCNT's an elastic column shell, the analytical solutions of charged SWCNT's axial strain and radial strain are obtained. Single-walled carbon nanotubes with higher aspectratio can show greater deformation and the greatestradial deformation appears at the end of the tube, and significant axial strain can be induced in CNTs with long length (around 100 nm) even though the applied electric field is not strong enough; when the SWCNTs are fixed at both ends the radius of SWCNTs become smaller along axial position. These results redound to our understanding of metallic SWCNTs electrom echanical properties in the electric field and SWCNTs applications on nanoelectronic device and nanoelectrom echanical systems.
- single-walled carbon nanotubes /
- charged deformation /
- analytis solution

HTML全文

参考文献(18)

[1]	Treacy M M J, Ebbesen T W, Gibson J M. Exceptional high Young’s modulus observed for individual carbon nanotubes[J]. Nature, 1996, 381(20): 678-680 . doi: 10.1038/381678a0
[2]	Lu J P. Elastic properties of carbon nanotubes and nanoropes[J]. Physical Review Letters, 1997, 79(7): 1297-1300.
[3]	Hamada N, Sawada S, Oshiyama A. New one-demensional conductors: graphitic microtubules[J]. Phys Rev Lett, 1992, 68(10): 1579-1581. doi: 10.1103/PhysRevLett.68.1579
[4]	White C T, Robertson D H, Mintmire J W. Energy gaps in “metallic” single-walled carbon nanotubes[C]Jena P, Behera S. Clusters and Nanostructured Materials. New York: Nova, 1996: 231-237.
[5]	Blase X, Benedict L X, Shirley E L, et al. Hybridization effects and metallicity in small radius carbon nanotubes[J]. Phys Rev Lett, 1994, 72(21): 1878-1881. doi: 10.1103/PhysRevLett.72.1878
[6]	Kane C L, Mele E J. Size, shape and low energy electronic structure of carbon nanotubes[J]. Phys Rev Lett, 1997, 78(10):1932-1935. doi: 10.1103/PhysRevLett.78.1932
[7]	Baughman R H, Zakhidov A A, de Heer W A. Carbon nanotubes—the route toward applications[J]. Science, 2002, 297(5582): 787-792. doi: 10.1126/science.1060928
[8]	Bonard J M, Dean K A, Coll B F, et al. Field emission of individual carbon nanotubes in the scanning electron microscape[J]. Phys Rev Lett, 2002, 89(19): 197602. doi: 10.1103/PhysRevLett.89.197602
[9]	ZHENG Xiao, Chen G H,Deng S Z, et al. Quantum-mechanical investigation of field-emission mechanism of a micrometer-long single-walled carbon nanotube[J]. Phys Rev Lett, 2004, 92(10): 106803.1-106803.4. doi: 10.1103/PhysRevLett.92.106803
[10]	Keblinski P, Nayak S K, Zapol P, et al. Charge distribution and stability of charged carbon nanotubes[J]. Phys Rev Lett, 2002, 89(25): 255503.1-255503.4. doi: 10.1103/PhysRevLett.89.255503
[11]	Sun G Y, Kurti J, Kertesz M, et al. Dimensional changes as a function of charge injection in single-walled carbon nanotubes[J]. JACS, 2002, 124(50):15076-15080. doi: 10.1021/ja020616j
[12]	Guo Y F, Guo W L. Mechanical and electrostatic properties of carbon nanotubes under tensile loading and electric field[J]. J Phys D: Appl Phys, 2003, 36(7): 805-811. doi: 10.1088/0022-3727/36/7/306
[13]	Guo W L, Guo Y F. Giant axial eletrostrictive deformation in carbon nanotubes[J]. Phys Rev Lett, 2003, 91(11): 115501.1-115501.4. doi: 10.1103/PhysRevLett.91.115501
[14]	Li C Y, Chou T W. Charge-induced strains in single-walled carbon nanotubes[J]. Nanotechnology, 2006, 17(18): 4624-4628. doi: 10.1088/0957-4484/17/18/015
[15]	CHUN Yu-li, CHOU Tsu-wei. Theoretical studies on the charge-induced failure of single-walled carbon nanotubes[J]. Carbon, 2007, 45(5):922-930. doi: 10.1016/j.carbon.2007.01.004
[16]	Kokkrakis G C, Modinos A, Xanthankis J P. Local eletric field at the emitting surface of a carbon nanotube[J]. J Appl Phys, 2001, 91(7): 4580-4584.
[17]	Tans S J, Devoret M H, Dai H J, et al. Individual single wall carbon nanotubes as quantum wires[J]. Nature, 1997, 386(6624): 474-477. doi: 10.1038/386474a0
[18]	Snow E S, Perkins F K, Houser E J, et al. Chemical detection with a single-walled carbon nanotubes capacitor[J]. Science, 2005, 307(5717):1942-1945. doi: 10.1126/science.1109128

施引文献

资源附件(0)

访问统计

计量

文章访问数: 1692
HTML全文浏览量: 142
PDF下载量: 948
被引次数: 0

姓名
邮箱
手机号码
标题
留言内容
验证码

留言板

基于金属型碳纳米管在电场中变形的柱壳理论

doi: 10.3879/j.issn.1000-0887.2010.03.001

作者简介:
洪文亮(1983- ),男,江西九江人,硕士(E-mail:hong246094@163.com);郭兴明(1964- ),男,湖南常德人,教授(联系人.E-mail:xmguo@shu.edu.cn).

计量

Deformation of Metallic Single-Walled Carbon Nanotubes in the Electric Field Based on Elastic Theory

计量

目录

留言板

基于金属型碳纳米管在电场中变形的柱壳理论

doi: 10.3879/j.issn.1000-0887.2010.03.001

作者简介: 洪文亮(1983- ),男,江西九江人,硕士(E-mail:hong246094@163.com);郭兴明(1964- ),男,湖南常德人,教授(联系人.E-mail:xmguo@shu.edu.cn).

计量

出版历程

Deformation of Metallic Single-Walled Carbon Nanotubes in the Electric Field Based on Elastic Theory

计量

出版历程

目录

作者简介:
洪文亮(1983- ),男,江西九江人,硕士(E-mail:hong246094@163.com);郭兴明(1964- ),男,湖南常德人,教授(联系人.E-mail:xmguo@shu.edu.cn).