site-percolation model and activated-tunnelling calculation
Ag particles on bcc Rb-CD-MOF cavity lattice model · Model
bcc lattice of Rb-CD-MOF cavity sites; 1.4 v/v% Ag loading; particle diameters 0.8, 1.2 and 1.6 nm; 100 simulations per site occupancy value
| Property | Reported value | Normalised value | Uncertainty | Origin and quality | Source |
|---|---|---|---|---|---|
| Upper bound on number fraction of large silver crystals | at most 0.005% of total number of nanocrystals | — | — | Text Approximate | S16 · Section 9 · Figure S11 |
| Upper bound on large >3 nm silver crystals | large >3 nm crystals could make up as much as 0.14% of all silver | — | — | Text Approximate | S16 · Section 9 · Figure S11 |
| Calculated activation energy for 0.8 nm particles | ~0.98 eV from Figure 4c | — | — | Figure Axis Approximate | 5 · Results and Discussion · Figure 4c |
| Calculated activation energy for 1.2 nm particles | ~0.6 eV from Figure 4c | — | — | Figure Axis Approximate | 5 · Results and Discussion · Figure 4c |
| Calculated activation energy for 1.6 nm particles | ~0.43 eV from Figure 4c | — | — | Figure Axis Approximate | 5 · Results and Discussion · Figure 4c |
| Estimated dielectric constant of CD-MOF | 1.54 | — | — | Text Exact Reported | 5 · Results and Discussion · Figure 4 |
| Calculated site occupancy for 0.8 nm Ag particles | site occupancy 0.32 | — | — | Text Exact Reported | S15 · Section 9 · Table S3 |
| Calculated site occupancy for 1.2 nm Ag particles | site occupancy 0.1 | — | — | Text Exact Reported | S15 · Section 9 · Table S3 |
| Calculated site occupancy for 1.6 nm Ag particles | site occupancy 0.046 | — | — | Text Exact Reported | S15 · Section 9 · Table S3 |
| Modelled average surface-to-surface tunnelling distance for 0.8 nm particles | ~1.89 nm from Figure 4b | — | — | Figure Axis Approximate | 5 · Results and Discussion · Figure 4b |
| Modelled average surface-to-surface tunnelling distance for 1.2 nm particles | ~1.86 nm from Figure 4b | — | — | Figure Axis Approximate | 5 · Results and Discussion · Figure 4b |
| Modelled average surface-to-surface tunnelling distance for 1.6 nm particles | ~2.1 nm from Figure 4b | — | — | Figure Axis Approximate | 5 · Results and Discussion · Figure 4b |
| Site percolation threshold: 1st through 5th nearest lattice sites | 0.048 | — | — | SI Table Exact Reported | S14 · Section 9 · Table S3 |
| Site percolation threshold: 1st nearest lattice site | 0.245 | — | — | SI Table Exact Reported | S14 · Section 9 · Table S3 |
| Site percolation threshold: 1st through 4th nearest lattice sites | 0.054 | — | — | SI Table Exact Reported | S14 · Section 9 · Table S3 |
| Site percolation threshold: 1st and 2nd nearest lattice sites | 0.18 | — | — | SI Table Exact Reported | S14 · Section 9 · Table S3 |
| Site percolation threshold: 1st through 6th nearest lattice sites | 0.044 | — | — | SI Table Exact Reported | S14 · Section 9 · Table S3 |
| Site percolation threshold: 1st through 3rd nearest lattice sites | 0.099 | — | — | SI Table Exact Reported | S14 · Section 9 · Table S3 |