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. 2020 Jun 2;10(6):1101. doi: 10.3390/nano10061101

Table A1.

Mean escape time (τ) of a given molecule, errors and total traveling distance of the confined molecule in a spherical cavity (cavity diameter D of 1 nm and 10 nm) for different entrance–escape hole diameters (h) calculated by the diffusion and the non-interactive random walk models.

h (nm) Cavity Diameter D = 1 nm Cavity Diameter D = 10 nm
Diffusion Random Walk Diffusion Random Walk
τ (s) τ (s) Error (s) Distance (nm) Error (nm) τ(s) τ (s) Error (s) Distance (nm) Error (nm)
0.3 3.98 × 10−14 5.51 × 10−11 1.7 × 10−12 35.5 1.1 3.98 × 10−11 5.57 × 10−8 1.7 × 10−9 35,931 1133
0.5 2.39 × 10−14 1.91 × 10−11 5 × 10−13 12.4 0.3 2.39 × 10-11 2.19 × 10−8 7 × 10−10 14,151 465
1 1.19 × 10-11 4.93 × 10−9 1.6 × 10−10 3182 107
2 5.98 × 10-12 1.28 × 10−9 4 × 10−11 822 26
5 2.39 × 10−12 1.90 × 10−10 5 × 10−12 128 4