One-click electromagnetism at the nanoscale

Zinc oxide (ZnO) nanoparticle UV-vis and scattering

Questions & answers

What is the UV-vis (UV–visible) spectrum of zinc oxide nanoparticles?

In UV–visible spectroscopy, ZnO, a wide-gap semiconductor (band gap about 3.3 eV): its nanoparticles absorb strongly below about 375 nm, with an excitonic absorption edge near 360–375 nm, and are transparent in the visible apart from scattering by larger particles. Quantum confinement shifts the edge to shorter wavelengths for particles under about 7 nm.

Why are zinc oxide nanoparticles in sunscreen transparent?

Particles of 20–50 nm scatter almost no visible light (less than 2 % of the optimum per gram, table above), so the cream looks clear, while their band-gap absorption still blocks UVA and UVB: at 350 nm nearly all of a small particle's extinction is absorption. Larger pigment-grade ZnO (a few hundred nanometres) looks white.

What is the refractive index of zinc oxide?

About 2.0 at 550 nm for crystalline ZnO (ordinary ray; the extraordinary is slightly higher), falling to about 1.93 in the near-infrared. Porous films and powders measure lower (1.6–1.8). The calculators offer Bond (1965) crystal data and Aguilar et al. (2019) thin-film data with UV absorption.

Why is ZnO a weaker white pigment than TiO2?

Its refractive index (about 2.0) is lower than TiO2's (2.5–2.7), so the contrast with the binder is smaller and each gram scatters less; the best size is also larger, about 540 nm versus 270 nm. See the TiO₂ page.

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

Yes: zinc oxide 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.

UV absorption and visible scattering of ZnO particles of any size in any medium, in one click, from exact Mie theory: sunscreen transparency, haze and whiteness.

Zinc oxide particle size vs scattering and UV absorption

ZnO spheres in a resin or glass of refractive index about 1.5 (a sunscreen or paint binder), from exact Mie theory with this site's solver. Visible scattering per gram peaks at 540 nm; small particles stay clear while absorbing UV.

DiameterVisible scattering per volumeScattering efficiency at 550 nmAbsorbed share at 350 nm (UV)Look
20 nm< 1 %0.0001100 %transparent (UV blocker)
30 nm< 1 %0.000599 %transparent (UV blocker)
50 nm1 %0.003995 %transparent (UV blocker)
100 nm9 %0.0681 %hazy
150 nm23 %0.2272 %hazy
200 nm39 %0.4764 %hazy
300 nm70 %1.3056 %white
400 nm90 %2.2552 %white
540 nm100 %3.3951 %white
700 nm93 %3.8851 %white

Visible scattering: crystal data of Bond (1965), 450–780 nm, per particle volume relative to the best size. UV: thin-film data of Aguilar et al. (2019) at 350 nm, which include the band-gap absorption (crystal data do not cover the UV). Medium: glass.

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