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

Table A5.

Mean escape time (τ) and associated errors of different number molecules confined in a 15-nm spherical cavity for different entrance–escape hole diameters (h) calculated by the interactive random walk models for 102 runs.

Cavity Diameter = 15 nm
N (Number of Molecules) h = 1 nm h = 2 nm H = 5 nm h = 7.5 nm
τ Error (s) τ (s) Error (s) τ (s) Error (s) τ (s) Error (s)
1 1.41 × 10−9 1.4 × 10−10 6.17 × 10−9 7.0 × 10−10 7.61 × 10−10 1.1 × 10−10 2.95 × 10−10 3.6 × 10−11
2 1.38 × 10−9 1.4 × 10−10 7.26 × 10−9 8.3 × 10−10 8.49 × 10−10 8.1 × 10−11 2.88 × 10−10 2.7 × 10−11
3 1.57 × 10−9 1.6 × 10−10 6.39 × 10−9 7.5 × 10−10 7.52 × 10−10 7.7 × 10−11 3.88 × 10−10 5.9 × 10−11
4 1.50 × 10−9 1.4 × 10−10 7.29 × 10−9 6.8 × 10−10 8.47 × 10−10 8.8 × 10−11 3.93 × 10−10 5.2 × 10−11
5 1.39 × 10−9 1.4 × 10−10 7.09 × 10−9 6.8 × 10−10 8.47 × 10−10 9.2 × 10−11 3.77 × 10−10 4.3 × 10−11
6 1.46 × 10−9 1.3 × 10−10 6.13 × 10−9 7.7 × 10−10 8.37 × 10−10 1.1 × 10−10 3.21 × 10−10 4.2 × 10−11
7 1.27 × 10−9 1.2 × 10−10 7.26 × 10−9 7.4 × 10−10 6.41 × 10−10 7.0 × 10−11 3.72 × 10−10 4.3 × 10−11
8 1.30 × 10−9 1.4 × 10−10 6.37 × 10−9 6.8 × 10−10 6.60 × 10−10 6.8 × 10−11 2.65 × 10−10 3.3 × 10−11
9 1.82 × 10−9 1.8 × 10−10 6.11 × 10−9 6.1 × 10−10 7.77 × 10−10 7.6 × 10−11 3.88 × 10−10 4.1 × 10−11
10 1.41 × 10−9 1.4 × 10−10 6.49 × 10−9 6.9 × 10−10 8.88 × 10−10 1.0 × 10−10 2.67 × 10−10 3.3 × 10−11
12 1.23 × 10−9 1.5 × 10−10 6.90 × 10−9 7.8 × 10−10 7.38 × 10−10 8.1 × 10−11 3.21 × 10−10 4.0 × 10−11
15 1.53 × 10−9 1.5 × 10−10 6.52 × 10−9 6.9 × 10−10 7.58 × 10−10 7.7 × 10−11 2.96 × 10−10 3.2 × 10−11
20 1.47 × 10−9 1.3 × 10−10 6.19 × 10−9 5.3 × 10−10 9.07 × 10−10 8.9 × 10−11 3.39 × 10−10 4.5 × 10−11