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

Table A6.

Mean escape time (τ) and associated errors of different number molecules confined in a 20-nm spherical cavity for different entrance–escape hole diameters (h) calculated by the interactive random walk models for 102 runs.

Cavity Diameter = 20 nm
N (Number of Molecules) h = 1 nm h = 2 nm h = 5 nm h = 10 nm
τ (s) Error (s) τ (s) Error (s) τ (s) Error (s) τ (s) Error (s)
1 1.26 × 10−7 1.6 × 10−8 1.74 × 10−8 2.0 × 10−9 2.27 × 10−9 3.85 × 10−10 4.89 × 10−10 7.03 × 10−11
2 7.59 × 10−8 7.5 × 10−9 1.69 × 10−8 1.8 × 10−9 1.82 × 10−9 2.24 × 10−10 4.07 × 10−10 4.78 × 10−11
3 9.88 × 10−8 9.5 × 10−9 1.63 × 10−8 1.7 × 10−9 1.91 × 10−9 2.04 × 10−10 3.46 × 10−10 4.19 × 10−11
4 9.80 × 10−8 8.5 × 10−9 1.51 × 10−8 1.7 × 10−9 1.70 × 10−9 1.85 × 10−10 4.17 × 10−10 5.17 × 10−11
5 9.22 × 10−8 9.6 × 10−9 1.75 × 10−8 1.8 × 10−9 1.96 × 10−9 2.24 × 10−10 4.54 × 10−10 4.66 × 10−11
6 8.20 × 10−8 7.7 × 10−9 1.32 × 10−8 1.3 × 10−9 1.87 × 10−9 2.11 × 10−10 3.51 × 10−10 4.63 × 10−11
7 8.51 × 10−8 8.3 × 10−9 1.51 × 10−8 1.2 × 10−9 1.87 × 10−9 1.87 × 10−10 4.48 × 10−10 5.82 × 10−11
8 9.64 × 10−8 8.5 × 10−9 1.43 × 10−8 1.5 × 10−9 1.90 × 10−9 2.05 × 10−10 4.10 × 10−10 4.13 × 10−11
9 6.85 × 10−8 5.9 × 10−9 1.66 × 10−8 1.6 × 10−9 1.88 × 10−9 2.15 × 10−10 3.56 × 10−10 3.69 × 10−11
10 9.94 × 10−8 9.6 × 10−9 1.56 × 10−8 1.5 × 10−9 2.05 × 10−9 2.18 × 10−10 4.32 × 10−10 4.07 × 10−11
12 8.36 × 10−8 9.8 × 10−9 1.55 × 10−8 1.5 × 10−9 1.77 × 10−9 1.81 × 10−10 4.77 × 10−10 5.87 × 10−11
15 8.01 × 10−8 7.7 × 10−9 1.40 × 10−8 1.4 × 10−9 2.23 × 10−9 2.01 × 10−10 3.88 × 10−10 4.80 × 10−11
20 7.68 × 10−8 7.8 × 10−9 1.49 × 10−8 1.6 × 10−9 1.69 × 10−9 1.89 × 10−10 4.26 × 10−10 4.87 × 10−11