“…Many researches 2,3,4,5,6,7,8,9,10,11,12,13 have shown that there exists a kind of radial motion in the DWCNTs similar to the radial breathing modes (RBMs) in the SWCNTs, called as the radial breathing-like modes (RBLMs). But their relationship with the tube radii is still an open question, which is the most important for understanding the experimental RBLMs.…”