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Germanium nanoparticle optical properties

Questions & answers

What are the optical properties of germanium nanoparticles?

Germanium has one of the highest refractive indices of common materials (about 4.0–5.2 from the visible to the near-infrared) and a small band gap (0.66 eV), so it absorbs strongly throughout the visible. Germanium nanospheres therefore absorb visible light efficiently and show Mie resonances, magnetic and electric dipoles, mainly in the near-infrared: about 742 nm (MD) for 150 nm and 923 nm for 200 nm spheres (table above).

What is the refractive index of germanium?

About 5.2 + 2.1i at 550 nm and about 4.2 at 1550 nm, where absorption is small. The calculators use the ellipsometry data of Nunley et al. (2016), with Aspnes & Studna (1983) as an alternative.

Germanium or silicon nanoparticles?

Silicon has sharper resonances in the visible and absorbs little above about 500 nm; germanium resonates further into the infrared, absorbs strongly in the visible (useful for photothermal heating and photodetection) and has a higher index at telecom wavelengths. Compare them on the silicon page.

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

Yes, including simulation of the germanium nanoparticle UV-vis spectrum, optical properties of nanospheres and core–shell particles, near-field enhancement, array lattice resonances, substrates and heating; germanium is available in every calculator: near-field maps, arrays, particles on substrates and laser heating.

Absorption, scattering and extinction spectra of germanium nanospheres of any size, with their near-infrared Mie resonances, in one click, from exact Mie theory.

Germanium nanoparticle size vs Mie resonances

Germanium spheres in air, from exact Mie theory with this site's solver. Germanium's index is very high (about 4–5) but it absorbs strongly in the visible, so its resonances are clearest in the near-infrared.

DiameterMagnetic dipole (MD)Electric dipole (ED)Qsca at MDAbsorbed share at MD
150 nm742 nm649 nm1.3767 %
200 nm923 nm759 nm2.4655 %
250 nm1127 nm892 nm3.6247 %
300 nm1327 nm1037 nm5.0736 %

Germanium optical constants: Nunley et al. (2016), 300 K; in air. MD: the longest-wavelength scattering peak; ED: the next one. Below about 150 nm the resonances fall in the visible, where absorption smears them out.

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