One-click electromagnetism at the nanoscale

Iron oxide nanoparticle UV-vis spectrum calculator

Questions & answers

What does UV-vis spectroscopy show for iron oxide nanoparticles?

Featureless, without a sharp plasmon peak. Hematite (α-Fe2O3) has a strong absorption edge around 550–600 nm and absorbs most of the blue and green, which makes it red, with absorption rising steeply into the UV; magnetite (Fe3O4) absorbs almost evenly across the whole visible and near-infrared (small particles even slightly more at 550 than at 400 nm, tables above), which makes it black. Small particles mostly absorb; above about 100 nm scattering becomes comparable.

Magnetite or hematite: what is the difference?

Magnetite (Fe3O4) is black and ferrimagnetic, the material of most magnetic nanoparticles (SPIONs, ferrofluids); it often oxidizes to maghemite (γ-Fe2O3), brown. Hematite (α-Fe2O3) is the red, weakly magnetic oxide of rust and red pigments. Choose either in the calculator.

What is the refractive index of iron oxide?

Magnetite: about 2.3 + 0.1i at 550 nm. Hematite: about 2.9–3.3 with k ≈ 0.4–0.5 at 550 nm (ordinary and extraordinary rays differ). Values from Querry (1985), used by the calculators.

Do iron oxide nanoparticles heat under light?

Yes. They absorb broadly, including the near-infrared, so laser light heats them (photothermal heating), separately from the magnetic hyperthermia used with alternating magnetic fields. The heating calculator gives the temperature rise for any size and intensity.

How do I find the concentration of iron oxide nanoparticles from UV-vis?

Measure the absorbance at a fixed wavelength (400 or 550 nm), take the molar extinction coefficient for your size from the tables, and use c = A / (ε ℓ); for other sizes or media the calculator gives Cext and hence ε directly.

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

Yes: both iron oxides can be used for spectra and optical properties of nanospheres and core–shell nanoparticles (add a shell), near-field enhancement maps, nanoparticle arrays and lattice resonances, particles on a substrate and laser heating.

Extinction (UV-vis), absorption and scattering spectra of magnetite (Fe3O4) and hematite (Fe2O3) nanospheres of any size, in one click, from exact Mie theory.

Magnetite (Fe₃O₄) nanoparticles: extinction by size

Magnetite spheres in water, from exact Mie theory with this site's solver.

Diameterε at 400 nmε at 550 nmAbsorbed share at 550 nm
5 nm1.91 × 105 M−1 cm−12.51 × 105 M−1 cm−1100 %
10 nm1.55 × 106 M−1 cm−12.02 × 106 M−1 cm−1100 %
20 nm1.35 × 107 M−1 cm−11.66 × 107 M−1 cm−199 %
50 nm4.60 × 108 M−1 cm−13.31 × 108 M−1 cm−185 %
100 nm1.69 × 1010 M−1 cm−16.29 × 109 M−1 cm−146 %
200 nm3.23 × 1011 M−1 cm−11.89 × 1011 M−1 cm−124 %

Molar extinction coefficient ε = NA Cext / (1000 ln 10), per mole of particles; particle concentration c = A / (ε ℓ). Spheres in water; optical constants of Querry (1985).

Hematite (α-Fe₂O₃) nanoparticles: extinction by size

Hematite spheres in water (ordinary-ray optical constants), from exact Mie theory with this site's solver.

Diameterε at 400 nmε at 550 nmAbsorbed share at 550 nm
5 nm2.95 × 106 M−1 cm−16.40 × 105 M−1 cm−1100 %
10 nm2.39 × 107 M−1 cm−15.16 × 106 M−1 cm−1100 %
20 nm2.01 × 108 M−1 cm−14.29 × 107 M−1 cm−199 %
50 nm4.45 × 109 M−1 cm−19.35 × 108 M−1 cm−186 %
100 nm5.61 × 1010 M−1 cm−12.19 × 1010 M−1 cm−155 %
200 nm2.45 × 1011 M−1 cm−12.96 × 1011 M−1 cm−142 %

Molar extinction coefficient ε = NA Cext / (1000 ln 10), per mole of particles; particle concentration c = A / (ε ℓ). Spheres in water; optical constants of Querry (1985).

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