Carbon
allotropes such as fullerenes, carbon nanotubes (CNTs),
and graphene have shown great promise for device applications in recent
times. Nanomechanical oscillators based on CNTs are well-explored
theoretically as well as experimentally. Investigations on the motion
of C60 through CNTs have revealed oscillator frequencies
of up to 74 GHz. However, the absence of mature technology in the
terahertz regime has resulted in the so-called terahertz gap. On the
basis of an analysis of the permeation of fullerenes through the nanopores
of graphynes (GYs), herein, we report the theoretical design of nanomechanical
oscillators in the 0.1–0.5 THz regime. The design strategy
involves employing electronic structure methods as well as atomistic
model potentials to probe the permeation process of a set of fullerenes,
namely, C20, C42, C50, C60, C70, and C84 through the triangular and the
rhombus-like nanopores of γ-GY-N (N = 4–6)
and r-GY-N (N = 4–5), respectively. Considering
the results from the electronic structure methods as a benchmark,
we adopt a fitting procedure to extract the optimal values of the
parameters in the atomistic model potentials that could be useful
for researchers performing force field calculations on fullerene–graphyne
systems. Our findings indicate that a discrete atomistic potential
of the improved Lennard-Jones type can describe the permeation process
leading to the oscillatory response with reasonable accuracy at a
computational cost much lower than the electronic structure calculations.