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

Table A2.

Mean escape time (τ) of a given molecule, errors and total traveling distance of the confined molecule in a spherical cavity (cavity diameter 102 nm and 103 nm) for different entrance–escape hole diameters (h) calculated by the diffusion and the non-interactive random walk models.

h (nm) Cavity Diameter D = 102 nm Cavity Diameter D = 103 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 × 10−8 5.71 × 10−5 1.8 × 10−6 3.68 × 107 1.2 × 106 3.98 × 10−5 5.3 × 10−2 1.7 × 10−3 3.42 × 1010 1.1 × 109
0.5 2.39 × 10−8 2.00 × 10−5 6 × 10−7 1.29 × 107 4.1 × 105 2.39 × 10−5 2.01 × 10−2 6.3 × 10−4 1.3 × 1010 4.1 × 108
1 1.19 × 10−8 4.63 × 10−6 1.4 × 10−7 2.99 × 106 9 × 104 1.19 × 10−5 5.43 × 10−3 1.6 × 10−4 3.5 × 109 1.1 × 108
2 5.98 × 10−9 1.22 × 10−6 4 × 10−8 7.89 × 105 2.5 × 104 5.98 × 10−6 1.33 × 10−3 4.1 × 10−5 8.56 × 108 2.7 × 107
5 2.39 × 10−9 1.95 × 10−7 6 × 10−9 1.26 × 105 4 × 103 2.39 × 10−6 1.92 × 10−4 6.7 × 10−6 1.24 × 108 4.3 × 106
10 1.19 × 10−9 5.18 × 10−8 1.6 × 10−9 3.34 × 104 1060 1.19 × 10−6 4.99 × 10−5 1.6 × 10−6 3.22 × 107 1.1 × 106
20 5.97 × 10−10 1.21 × 10−8 3 × 10−10 7821 244 5.97 × 10−7 1.23 × 10−5 4.1 × 10−7 7.93 × 107 2.6 × 105
50 2.39 × 10−10 1.87 × 10−9 5 × 10−11 1204 35 2.39 × 10−7 1.99 × 10−6 6.4 × 10−8 1.28 × 106 4.1 × 104
100 1.19 × 10−7 5.07 × 10−7 1.5 × 10−8 3.27 × 105 9.8 × 103
200 5.97 × 10−8 1.25 × 10−7 3.7 × 10−9 8.05 × 104 2.4 × 103
500 2.39 × 10−8 1.88 × 10−8 5.6 × 10−10 1.21 × 104 3.6 × 102