Nonlinear Resonance Interaction between Conjugate Circumferential Flexural Modes in Single-Walled Carbon Nanotubes

Table 2

Natural frequencies of the radial breathing mode (m = 0, n = 0) of the free-free SWCNT of Table 1 for different values of radius R and same value of aspect ratio L/D. Comparisons between Sanders-Koiter elastic shell theory (SKT) (present model) and experimental resonant Raman spectroscopy (RRS) [11].

Radius	Aspect ratio	Natural frequency (THz)		Difference (%)
R (nm)	L/D	SKT (present model)	RRS [11]
0.509	10	6.905	7.165	3.63
0.518	10	6.785	7.105	4.50
0.527	10	6.669	6.865	2.85
0.569	10	6.177	6.295	1.87
0.705	10	5.025	5.276	4.76
0.708	10	4.964	5.216	4.83
0.718	10	4.895	5.066	3.37
0.733	10	4.788	4.947	3.21
0.746	10	4.711	4.917	4.19
0.764	10	4.594	4.797	4.23
0.770	10	4.559	4.737	3.76
0.782	10	4.494	4.677	3.91
0.799	10	4.393	4.617	4.85
0.814	10	4.318	4.527	4.62
0.822	10	4.271	4.437	3.74
0.847	10	4.150	4.317	4.04