Design of Harmonic AFM Probe Subjected to van der Waals Force in the Modified Couple Stress Theory

Table 4

Comparison of the dimensionless frequencies determined by the proposed probe and similarity formula (46) at the tip-sample distance D₀ = 8 nm (, ξ₁ = 0.3, ξ₂ = 0.6, 1.022422, , , , , D₀ = 8 nm, and ).

δ
		Proposed method	Equation (42)
0.0	2.8879	2.8879	2.8879	0.000	0.000
0.1	—	3.0289	3.0289	0.000	0.000
0.2	—	3.1636	3.1636	0.000	0.000
0.3	—	3.2928	3.2927	0.000	0.000
0.4	—	3.4171	3.4171	0.000	0.000
0.5	—	3.5370	3.5370	0.000	0.000
0.6	—	3.6530	3.6530	0.000	0.000
0.7	—	3.7654	3.7654	0.000	0.000
0.8	—	3.8746	3.8746	0.000	0.000
0.9	—	3.9808	3.9808	0.000	0.000
1.0	—	4.0842	4.0842	0.000	0.000