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Copper nanoparticle UV-vis spectrum calculator

Questions & answers

What is the UV-vis peak of copper nanoparticles?

For clean copper spheres in water the plasmon peak is near 550 nm up to about 40 nm, then red-shifts: about 556 nm at 50 nm, 582 nm at 80 nm and 594 nm at 100 nm (table above). Measured colloids often peak at 560–600 nm because of size distribution, ligands and a thin oxide layer.

Why is copper's plasmon peak weaker and broader than gold's or silver's?

Copper's interband absorption (electrons excited from the d band) begins near 2.1 eV, about 590 nm, right where the plasmon sits. That extra loss damps and broadens the resonance, so copper shows a shoulder-like peak on a rising absorption background instead of the sharp line of silver.

Why are copper nanoparticles red-brown?

They absorb green and yellow light around the plasmon (550–600 nm) and, through interband transitions, everything bluer; what is transmitted is mostly red, which reads as copper-red to brown (colour column in the table).

How does oxidation change the spectrum of copper nanoparticles?

Copper oxidizes quickly in air and water. A Cu2O or CuO skin (refractive index about 2.5–2.7) red-shifts the peak and damps it; a thick shell can wipe it out. Model it in the calculator by adding a shell with a custom refractive index, and compare with your measurement to estimate the oxide thickness.

What is the molar extinction coefficient of copper nanoparticles?

At the peak, about 4.7 × 108 M−1 cm−1 for 20 nm spheres, 4.3 × 109 for 40 nm and 1.1 × 1011 for 100 nm in water (table above). Use c = A / (ε ℓ) for the particle concentration.

Is the calculation exact?

Yes: Mie theory solves Maxwell's equations exactly for spheres and layered spheres, at any size. The inputs are the measured optical constants of copper and of the medium.

Can I compute copper nanospheres, core–shell nanoparticles, arrays, near fields, heating or substrates?

Yes: copper nanospheres and core–shell nanoparticles (add a shell) are available in every calculator, from spectra to optical properties: near-field enhancement maps, dimers and hot spots, nanoparticle arrays and lattice resonances, particles on a substrate, emitters and the Purcell factor, nanorods and laser heating.

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 nanoparticle size vs UV-vis peak

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.

DiameterPlasmon peak (λmax)Molar extinction coefficientScattering shareColour
5 nm549 nm6.92 × 106 M−1 cm−1< 1 %
10 nm549 nm5.59 × 107 M−1 cm−1< 1 %
20 nm549 nm4.65 × 108 M−1 cm−11 %
30 nm549 nm1.68 × 109 M−1 cm−12 %
40 nm549 nm4.33 × 109 M−1 cm−15 %
50 nm556 nm9.40 × 109 M−1 cm−110 %
60 nm565 nm1.82 × 1010 M−1 cm−116 %
80 nm582 nm5.39 × 1010 M−1 cm−133 %
100 nm594 nm1.11 × 1011 M−1 cm−155 %
150 nm639 nm2.45 × 1011 M−1 cm−189 %
200 nm769 nm3.36 × 1011 M−1 cm−195 %

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).

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