Optical constants
Refractive index of Zn (Zinc)
Werner et al. 2009: n,k 0.0176–2.48 µm
- Data
- tabulated nk
- Range
- 0.01759–2.48 µm
- Points
- 150
- Licence
- CC0-1.0
Plot
Click the plot to set the calculator wavelength.
At one wavelength
- Refractive index n
- 1.04016
- Extinction coefficient k
- 5.31758
- Permittivity ε1
- -27.1947
- Permittivity ε2
- 11.0622
- Absorption coefficient α
- 1.13721e+06 cm⁻¹
- Penetration depth δ = λ/(2πk)
- 17.5869 nm
- Abbe number Vd
- —
- Chromatic dispersion dn/dλ
- 2.95296 µm⁻¹
- Group index ng
- -0.695003
- Group velocity dispersion
- — fs²/mm
- Dispersion parameter D
- — ps/(nm·km)
- Photon energy
- 2.11001 eV
ε = (n + ik)², α = 4πk/λ, ng = n − λ dn/dλ, GVD = λ³/(2πc²) d²n/dλ², D = −(λ/c) d²n/dλ². Group-velocity dispersion is given for formula data only.
Use it in Lightsmith
Load this data in Python, simulate in one more line
pip install lightsmith
import lightsmith as ls
# Zn (Zinc): Werner et al. 2009: n,k 0.0176–2.48 µm
zn = ls.fetch_refractiveindex("main", "Zn", "Werner", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(zn.range_nm) # (17.586, 2479.68) nm
eps = zn.eps([633]) # complex permittivity
Downloads the original record once (pinned to the imported snapshot) and caches it.
import json, urllib.request
import lightsmith as ls
url = "https://materials.lightsmith.dev/v1/datasets/ds_0f0609406c8b/lightsmith"
zn = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(zn.source) # citation and provenance travel with the data
Any dataset here, as the library's Tabulated material (zn/werner-2009).
# ... load zn as above, then:
sim = ls.Simulation(
particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=zn)],
medium_index=1.0,
wavelengths=ls.WavelengthRange(start_nm=400, stop_nm=1000, num=81),
)
res = ls.solve(sim) # exact Mie for a sphere
print(res.q_ext) # extinction efficiency at each wavelength
Same spec runs with DDA, FDTD, BEM or T-matrix: ls.compare(sim, ["mie", "dda"]).
Lightsmith is open source (MIT): Mie, T-matrix, BEM, DDA, FDTD, RCWA, TMM, mode solvers and inverse design behind one spec, on CPU or GPU. GitHub.
Comments and conditions
References
- doi:10.1063/1.3243762 Optical Constants and Inelastic Electron-Scattering Data for 17 Elemental Metals, Journal of Physical and Chemical Reference Data (2009)
Cite
Wolfgang S. M. Werner, Kathrin Glantschnig and Claudia Ambrosch-Draxl. Optical Constants and Inelastic Electron-Scattering Data for 17 Elemental Metals. Journal of Physical and Chemical Reference Data, 38, 1013-1092 (2009), doi:10.1063/1.3243762; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)
Data
150 rows as published| λ (µm) | n | k |
|---|---|---|
| 0.017586 | 0.9522 | 0.0688 |
| 0.017712 | 0.9523 | 0.0693 |
| 0.017839 | 0.9518 | 0.0704 |
| 0.017969 | 0.9519 | 0.0709 |
| 0.0181 | 0.9514 | 0.072 |
| 0.018233 | 0.9515 | 0.0725 |
| 0.018368 | 0.951 | 0.0736 |
| 0.018505 | 0.951 | 0.0741 |
| 0.018644 | 0.9506 | 0.0752 |
| 0.018785 | 0.9507 | 0.0763 |
| 0.018929 | 0.9502 | 0.0768 |
| 0.019074 | 0.9498 | 0.0779 |
| 0.019222 | 0.9499 | 0.079 |
| 0.019373 | 0.9494 | 0.08 |
| 0.019525 | 0.9495 | 0.0811 |
| 0.01968 | 0.949 | 0.0817 |
| 0.019837 | 0.9491 | 0.0827 |
| 0.019997 | 0.9487 | 0.0838 |
| 0.02016 | 0.9488 | 0.0848 |
| 0.020325 | 0.9484 | 0.0859 |
| 0.020493 | 0.9479 | 0.087 |
| 0.020664 | 0.948 | 0.0881 |
| 0.020838 | 0.9476 | 0.0892 |
| 0.021014 | 0.9477 | 0.0902 |
| 0.021194 | 0.9473 | 0.0913 |
| 0.021377 | 0.9469 | 0.0924 |
| 0.021562 | 0.947 | 0.094 |
| 0.021752 | 0.9466 | 0.0951 |
| 0.021944 | 0.9467 | 0.0961 |
| 0.02214 | 0.9463 | 0.0972 |
| 0.022339 | 0.9459 | 0.0988 |
| 0.022543 | 0.946 | 0.0999 |
| 0.022749 | 0.9457 | 0.1015 |
| 0.02296 | 0.9453 | 0.1026 |
| 0.023175 | 0.9454 | 0.1037 |
| 0.023393 | 0.945 | 0.1053 |
| 0.023616 | 0.9452 | 0.1069 |
| 0.023843 | 0.9448 | 0.108 |
| 0.024075 | 0.9445 | 0.1096 |
| 0.024311 | 0.9441 | 0.1112 |
| 0.024551 | 0.9442 | 0.1123 |
| 0.024797 | 0.9439 | 0.1139 |
| 0.025047 | 0.9436 | 0.1155 |
| 0.025303 | 0.9438 | 0.1171 |
| 0.025564 | 0.9434 | 0.1187 |
| 0.02583 | 0.9431 | 0.1203 |
| 0.026102 | 0.9428 | 0.122 |
| 0.02638 | 0.943 | 0.1235 |
| 0.026663 | 0.9427 | 0.1252 |
| 0.026953 | 0.9424 | 0.1268 |
| 0.027249 | 0.9421 | 0.129 |
| 0.027552 | 0.9418 | 0.1306 |
| 0.027862 | 0.9421 | 0.1322 |
| 0.028178 | 0.9418 | 0.1343 |
| 0.028502 | 0.9416 | 0.1365 |
| 0.028834 | 0.9413 | 0.1381 |
| 0.029173 | 0.9411 | 0.1403 |
| 0.02952 | 0.9409 | 0.1424 |
| 0.029876 | 0.9406 | 0.1441 |
| 0.03024 | 0.9404 | 0.1462 |
| 0.030613 | 0.9402 | 0.1484 |
| 0.030996 | 0.94 | 0.1505 |
| 0.031388 | 0.9399 | 0.1532 |
| 0.031791 | 0.9398 | 0.1554 |
| 0.032204 | 0.9396 | 0.1575 |
| 0.032627 | 0.9395 | 0.1602 |
| 0.033062 | 0.9393 | 0.1623 |
| 0.033509 | 0.9388 | 0.1651 |
| 0.033968 | 0.9386 | 0.1673 |
| 0.03444 | 0.9386 | 0.1699 |
| 0.034925 | 0.9385 | 0.1726 |
| 0.035424 | 0.938 | 0.1754 |
| 0.035937 | 0.9379 | 0.1781 |
| 0.036466 | 0.9374 | 0.1808 |
| 0.03701 | 0.9375 | 0.184 |
| 0.037571 | 0.937 | 0.1868 |
| 0.038149 | 0.9365 | 0.1901 |
| 0.038745 | 0.9367 | 0.1932 |
| 0.03936 | 0.9362 | 0.196 |
| 0.039995 | 0.9358 | 0.1993 |
| 0.040651 | 0.9354 | 0.2026 |
| 0.041328 | 0.9352 | 0.2064 |
| 0.042029 | 0.9349 | 0.2097 |
| 0.042753 | 0.934 | 0.2131 |
| 0.043503 | 0.9338 | 0.2169 |
| 0.04428 | 0.9331 | 0.2208 |
| 0.045085 | 0.9328 | 0.224 |
| 0.04592 | 0.9322 | 0.228 |
| 0.046786 | 0.9315 | 0.2319 |
| 0.047686 | 0.9305 | 0.2364 |
| 0.048621 | 0.9294 | 0.2405 |
| 0.049594 | 0.9288 | 0.2444 |
| 0.050606 | 0.9274 | 0.2491 |
| 0.05166 | 0.9263 | 0.2531 |
| 0.052759 | 0.9244 | 0.258 |
| 0.053906 | 0.923 | 0.2627 |
| 0.055104 | 0.9212 | 0.2676 |
| 0.056356 | 0.9189 | 0.2726 |
| 0.057667 | 0.9161 | 0.2778 |
| 0.05904 | 0.9128 | 0.2832 |
| 0.06048 | 0.9097 | 0.2891 |
| 0.061992 | 0.9055 | 0.2949 |
| 0.063582 | 0.901 | 0.3013 |
| 0.065255 | 0.896 | 0.308 |
| 0.067018 | 0.8901 | 0.3151 |
| 0.06888 | 0.8834 | 0.3232 |
| 0.070848 | 0.8751 | 0.3314 |
| 0.072932 | 0.8662 | 0.3411 |
| 0.075142 | 0.856 | 0.3517 |
| 0.07749 | 0.844 | 0.3637 |
| 0.07999 | 0.8304 | 0.3775 |
| 0.082656 | 0.815 | 0.3939 |
| 0.085506 | 0.7981 | 0.4135 |
| 0.08856 | 0.7791 | 0.437 |
| 0.09184 | 0.7589 | 0.4658 |
| 0.095372 | 0.7388 | 0.5008 |
| 0.099187 | 0.7209 | 0.5438 |
| 0.10332 | 0.7093 | 0.5942 |
| 0.107812 | 0.708 | 0.6483 |
| 0.112713 | 0.7192 | 0.6966 |
| 0.11808 | 0.7342 | 0.7273 |
| 0.123984 | 0.7318 | 0.74 |
| 0.13051 | 0.6955 | 0.7541 |
| 0.13776 | 0.6304 | 0.7971 |
| 0.145864 | 0.5561 | 0.8811 |
| 0.15498 | 0.4922 | 1.0066 |
| 0.165312 | 0.4516 | 1.167 |
| 0.17712 | 0.4444 | 1.357 |
| 0.190745 | 0.4937 | 1.5648 |
| 0.20664 | 0.6184 | 1.7124 |
| 0.225426 | 0.6196 | 1.7464 |
| 0.247968 | 0.4994 | 1.9795 |
| 0.261019 | 0.4873 | 2.172 |
| 0.27552 | 0.5524 | 2.394 |
| 0.291728 | 0.7446 | 2.4832 |
| 0.30996 | 0.6411 | 2.4613 |
| 0.330625 | 0.5362 | 2.7034 |
| 0.354241 | 0.524 | 2.9907 |
| 0.38149 | 0.5508 | 3.2986 |
| 0.413281 | 0.6029 | 3.6376 |
| 0.450852 | 0.6794 | 4.0209 |
| 0.495937 | 0.7858 | 4.4636 |
| 0.551041 | 0.9322 | 4.985 |
| 0.619921 | 1.1356 | 5.6116 |
| 0.708481 | 1.4247 | 6.3811 |
| 0.826561 | 1.8489 | 7.3486 |
| 0.991874 | 2.4976 | 8.5981 |
| 1.239842 | 3.5417 | 10.2617 |
| 1.653123 | 5.3318 | 12.5605 |
| 2.479684 | 8.6709 | 15.947 |
Optical transmission calculator
Free-standing sample in vacuum, normal incidence- Transmittance T
- —
- Reflectance R
- —
Fresnel reflection calculator
- Rp
- —
- Rs
- —
- R = (Rp+Rs)/2
- —
- Phase φp
- —
- Phase φs
- —
- Brewster angle θB
- —
- Critical angle θC
- —
Experimental data: Derived from reflection electron energy-loss spectroscopy (REELS) spectra.