| Type of processing | Method of fractal dimension calculation (non-dimensional) | ||
| Cube counting | Triangulation | Power spectrum | |
| Co ions in solution | 2.61 | 2.71 | 2.10 |
| ICPAr Plasma | 2.60 | 2.69 | 2.30 |
| Gold ions in solution | 2.49 | 2.60 | 1.69 |
| Pd ion in solution | 2.63 | 2.74 | 2.35 |
| Reference (grown on as-prepared alumina) | 2.58 | 2.66 | 2.26 |
| 30-nm sputtered gold | 2.59 | 2.64 | 2.22 |
| Petal-like pattern on solid silica | 2.61 | 2.67 | 1.33 |
| Tree-likepattern on solid silica | 2.45 | 2.54 | 1.54 |