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

Table A4.

Mean escape time (τ) and associated errors of different number molecules confined in a 10-nm spherical cavity for different entrance–escape hole diameters (h) calculated by the interactive random walk models for 102 runs.

Cavity Diameter = 10 nm
N (Number of Molecules) h = 1 nm h = 2 nm h = 5 nm
τ (s) Error (s) τ (s) Error (s) τ (s) Error (s)
1 1.35 × 10−8 1.5 × 10−9 2.59 × 10−9 4.6 × 10−10 2.42 × 10−10 2.7 × 10−11
2 1.33 × 10−8 1.3 × 10−9 2.07 × 10−9 2.3 × 10−10 2.97 × 10−10 4.7 × 10−11
3 1.09 × 10−8 1.3 × 10−9 1.74 × 10−9 1.7 × 10−10 2.06 × 10−10 2.5 × 10−11
4 1.35 × 10−8 1.5 × 10−9 2.21 × 10−9 3.2 × 10−10 2.00 × 10−10 1.8 × 10−11
5 1.10 × 10−8 1.1 × 10−9 1.57 × 10−9 1.7 × 10−10 2.00 × 10−10 2.4 × 10−11
6 1.43 × 10−8 1.4 × 10−9 1.78 × 10−9 1.7 × 10−10 2.14 × 10−10 2.5 × 10−11
7 1.55 × 10−8 1.6 × 10−9 1.85 × 10−9 1.9 × 10−10 2.51 × 10−10 3.1 × 10−11
8 1.21 × 10−8 1.1 × 10−9 2.10 × 10−9 2.2 × 10−10 2.03 × 10−10 2.1 × 10−11
9 1.23 × 10−8 1.1 × 10−9 2.07 × 10−9 2.0 × 10−10 2.54 × 10−10 2.4 × 10−11
10 1.17 × 10−8 1.3 × 10−9 1.73 × 10−9 1.5 × 10−10 2.31 × 10−10 3.1 × 10−11
12 1.28 × 10−8 1.2 × 10−9 1.82 × 10−9 1.7 × 10−10 1.88 × 10−10 2.4 × 10−11
15 1.29 × 10−8 1.2 × 10−9 1.66 × 10−9 1.6 × 10−10 2.21 × 10−10 2.3 × 10−11
20 1.13 × 10−8 1.0 × 10−9 1.74 × 10−9 1.5 × 10−10 2.40 × 10−10 2.5 × 10−11