One-click electromagnetism at the nanoscale
The extinction (UV-vis), absorption and scattering spectrum of copper nanospheres of any size, in any solvent, with or without an oxide shell: in one click, from exact Mie theory.
Copper spheres in water, from exact Mie theory with this site's solver. The calculator above gives the full spectrum for any size, solvent or oxide shell.
| Diameter | Plasmon peak (λmax) | Molar extinction coefficient | Scattering share | Colour |
|---|---|---|---|---|
| 5 nm | 549 nm | 6.92 × 106 M−1 cm−1 | < 1 % | |
| 10 nm | 549 nm | 5.59 × 107 M−1 cm−1 | < 1 % | |
| 20 nm | 549 nm | 4.65 × 108 M−1 cm−1 | 1 % | |
| 30 nm | 549 nm | 1.68 × 109 M−1 cm−1 | 2 % | |
| 40 nm | 549 nm | 4.33 × 109 M−1 cm−1 | 5 % | |
| 50 nm | 556 nm | 9.40 × 109 M−1 cm−1 | 10 % | |
| 60 nm | 565 nm | 1.82 × 1010 M−1 cm−1 | 16 % | |
| 80 nm | 582 nm | 5.39 × 1010 M−1 cm−1 | 33 % | |
| 100 nm | 594 nm | 1.11 × 1011 M−1 cm−1 | 55 % | |
| 150 nm | 639 nm | 2.45 × 1011 M−1 cm−1 | 89 % | |
| 200 nm | 769 nm | 3.36 × 1011 M−1 cm−1 | 95 % |
Copper optical constants: Johnson & Christy (1972); water: Hale & Querry (1973). Plasmon peak: the dipole (longest-wavelength) extinction maximum. Molar extinction coefficient at the peak, ε = NA Cext / (1000 ln 10). Colour: a colloid with absorbance 1 at the peak in a 1 cm cuvette, in daylight. Bulk optical constants; real particles under about 10 nm have broader peaks, and an oxide skin shifts them (see the questions below).