Strus Mark C, Lahiji Roya R, Ares Pablo, López Vicente, Raman Arvind, Reifenberger Ron
Birck Nanotechnology Center, Purdue University, West Lafayette, IN, USA.
Nanotechnology. 2009 Sep 23;20(38):385709. doi: 10.1088/0957-4484/20/38/385709. Epub 2009 Aug 28.
The interplay between local mechanical strain energy and lateral frictional forces determines the shape of carbon nanotubes on substrates. In turn, because of its nanometer-size diameter, the shape of a carbon nanotube strongly influences its local electronic, chemical, and mechanical properties. Few, if any, methods exist for resolving the strain energy and static frictional forces along the length of a deformed nanotube supported on a substrate. We present a method using nonlinear elastic rod theory in which we compute the flexural strain energy and static frictional forces along the length of single walled carbon nanotubes (SWCNTs) manipulated into various shapes on a clean SiO(2) substrate. Using only high resolution atomic force microscopy images of curved single walled nanotubes, we estimate flexural strain energy distributions on the order of attojoules per nanometer and the static frictional forces between a SWCNT and SiO(2) surface to be a minimum of 230 pN nm(-1).
局部机械应变能与横向摩擦力之间的相互作用决定了碳纳米管在基底上的形状。反过来,由于其纳米级的直径,碳纳米管的形状强烈影响其局部电子、化学和机械性能。几乎没有(如果有的话)方法可以解析沿支撑在基底上的变形纳米管长度方向的应变能和静摩擦力。我们提出了一种使用非线性弹性杆理论的方法,在该方法中,我们计算了在清洁的SiO(2)基底上被操纵成各种形状的单壁碳纳米管(SWCNT)长度方向的弯曲应变能和静摩擦力。仅使用弯曲单壁纳米管的高分辨率原子力显微镜图像,我们估计弯曲应变能分布在每纳米阿焦耳量级,并且SWCNT与SiO(2)表面之间的静摩擦力至少为230 pN nm(-1)。