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 |