Optical constants
Refractive index of Zn (Zinc)
Werner et al. 2009: DFT calculations; 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
- 2.49953
- Extinction coefficient k
- 6.75228
- Permittivity ε1
- -39.3456
- Permittivity ε2
- 33.7551
- Absorption coefficient α
- 1.44404e+06 cm⁻¹
- Penetration depth δ = λ/(2πk)
- 13.8501 nm
- Abbe number Vd
- —
- Chromatic dispersion dn/dλ
- 15.3296 µm⁻¹
- Group index ng
- -6.50812
- 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: DFT calculations; n,k 0.0176–2.48 µm
zn = ls.fetch_refractiveindex("main", "Zn", "Werner-DFT", 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_7e211d7b1c34/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-dft).
# ... 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 | 0.9396 | 0.042 |
| 0.017712 | 0.939 | 0.0426 |
| 0.017839 | 0.9391 | 0.0437 |
| 0.017969 | 0.9386 | 0.0442 |
| 0.0181 | 0.9376 | 0.0448 |
| 0.018233 | 0.9365 | 0.0459 |
| 0.018368 | 0.935 | 0.0476 |
| 0.018505 | 0.9351 | 0.0497 |
| 0.018644 | 0.9357 | 0.0508 |
| 0.018785 | 0.9358 | 0.0513 |
| 0.018929 | 0.9347 | 0.0508 |
| 0.019074 | 0.9326 | 0.0531 |
| 0.019222 | 0.9322 | 0.0552 |
| 0.019373 | 0.934 | 0.0573 |
| 0.019525 | 0.935 | 0.0572 |
| 0.01968 | 0.9344 | 0.0557 |
| 0.019837 | 0.9333 | 0.0557 |
| 0.019997 | 0.9306 | 0.0543 |
| 0.02016 | 0.9242 | 0.0557 |
| 0.020325 | 0.9224 | 0.0618 |
| 0.020493 | 0.9227 | 0.0661 |
| 0.020664 | 0.9231 | 0.071 |
| 0.020838 | 0.9243 | 0.0736 |
| 0.021014 | 0.9268 | 0.0771 |
| 0.021194 | 0.9301 | 0.0785 |
| 0.021377 | 0.9317 | 0.0773 |
| 0.021562 | 0.9322 | 0.0772 |
| 0.021752 | 0.9317 | 0.0773 |
| 0.021944 | 0.9312 | 0.0779 |
| 0.02214 | 0.9323 | 0.0788 |
| 0.022339 | 0.9306 | 0.0779 |
| 0.022543 | 0.9286 | 0.0792 |
| 0.022749 | 0.9278 | 0.0825 |
| 0.02296 | 0.9281 | 0.0857 |
| 0.023175 | 0.9294 | 0.0882 |
| 0.023393 | 0.9315 | 0.088 |
| 0.023616 | 0.9309 | 0.087 |
| 0.023843 | 0.9295 | 0.0888 |
| 0.024075 | 0.9307 | 0.0903 |
| 0.024311 | 0.9307 | 0.0908 |
| 0.024551 | 0.9322 | 0.0896 |
| 0.024797 | 0.9294 | 0.0882 |
| 0.025047 | 0.9256 | 0.0881 |
| 0.025303 | 0.9194 | 0.0914 |
| 0.025564 | 0.917 | 0.0998 |
| 0.02583 | 0.9215 | 0.1058 |
| 0.026102 | 0.9249 | 0.107 |
| 0.02638 | 0.9265 | 0.1069 |
| 0.026663 | 0.9264 | 0.1063 |
| 0.026953 | 0.9266 | 0.1079 |
| 0.027249 | 0.9255 | 0.1075 |
| 0.027552 | 0.9232 | 0.111 |
| 0.027862 | 0.9229 | 0.1127 |
| 0.028178 | 0.92 | 0.1158 |
| 0.028502 | 0.9206 | 0.1206 |
| 0.028834 | 0.9213 | 0.1254 |
| 0.029173 | 0.9249 | 0.1281 |
| 0.02952 | 0.9264 | 0.1312 |
| 0.029876 | 0.9308 | 0.1316 |
| 0.03024 | 0.9308 | 0.1321 |
| 0.030613 | 0.9327 | 0.134 |
| 0.030996 | 0.9344 | 0.1343 |
| 0.031388 | 0.9358 | 0.1368 |
| 0.031791 | 0.9394 | 0.1357 |
| 0.032204 | 0.9421 | 0.1327 |
| 0.032627 | 0.9406 | 0.1292 |
| 0.033062 | 0.9379 | 0.129 |
| 0.033509 | 0.9357 | 0.1283 |
| 0.033968 | 0.9349 | 0.1305 |
| 0.03444 | 0.9344 | 0.1311 |
| 0.034925 | 0.9341 | 0.1285 |
| 0.035424 | 0.9302 | 0.1279 |
| 0.035937 | 0.9255 | 0.1248 |
| 0.036466 | 0.9205 | 0.1315 |
| 0.03701 | 0.9181 | 0.1302 |
| 0.037571 | 0.9158 | 0.1332 |
| 0.038149 | 0.9105 | 0.134 |
| 0.038745 | 0.907 | 0.1367 |
| 0.03936 | 0.9014 | 0.1398 |
| 0.039995 | 0.8976 | 0.1471 |
| 0.040651 | 0.8954 | 0.1541 |
| 0.041328 | 0.9037 | 0.1632 |
| 0.042029 | 0.9091 | 0.1501 |
| 0.042753 | 0.8956 | 0.1345 |
| 0.043503 | 0.8699 | 0.1368 |
| 0.04428 | 0.8467 | 0.1577 |
| 0.045085 | 0.8425 | 0.184 |
| 0.04592 | 0.8465 | 0.2014 |
| 0.046786 | 0.8506 | 0.2181 |
| 0.047686 | 0.8632 | 0.2369 |
| 0.048621 | 0.8814 | 0.2428 |
| 0.049594 | 0.8989 | 0.2431 |
| 0.050606 | 0.9138 | 0.2282 |
| 0.05166 | 0.9162 | 0.2058 |
| 0.052759 | 0.8998 | 0.1862 |
| 0.053906 | 0.8782 | 0.1765 |
| 0.055104 | 0.8499 | 0.18 |
| 0.056356 | 0.8358 | 0.1884 |
| 0.057667 | 0.8179 | 0.1975 |
| 0.05904 | 0.7942 | 0.1996 |
| 0.06048 | 0.7615 | 0.2141 |
| 0.061992 | 0.7299 | 0.2445 |
| 0.063582 | 0.7051 | 0.29 |
| 0.065255 | 0.7014 | 0.3536 |
| 0.067018 | 0.7351 | 0.3979 |
| 0.06888 | 0.7652 | 0.4214 |
| 0.070848 | 0.7992 | 0.4298 |
| 0.072932 | 0.8266 | 0.4113 |
| 0.075142 | 0.8138 | 0.3889 |
| 0.07749 | 0.7925 | 0.3874 |
| 0.07999 | 0.7718 | 0.3945 |
| 0.082656 | 0.7487 | 0.4081 |
| 0.085506 | 0.7243 | 0.4273 |
| 0.08856 | 0.7055 | 0.4536 |
| 0.09184 | 0.6864 | 0.4691 |
| 0.095372 | 0.6444 | 0.4881 |
| 0.099187 | 0.5899 | 0.5467 |
| 0.10332 | 0.5719 | 0.6286 |
| 0.107812 | 0.5718 | 0.6978 |
| 0.112713 | 0.5819 | 0.7698 |
| 0.11808 | 0.6186 | 0.8196 |
| 0.123984 | 0.6127 | 0.8291 |
| 0.13051 | 0.5962 | 0.8755 |
| 0.13776 | 0.5782 | 0.9046 |
| 0.145864 | 0.5119 | 0.9376 |
| 0.15498 | 0.4246 | 1.0316 |
| 0.165312 | 0.3371 | 1.1361 |
| 0.17712 | 0.2035 | 1.3219 |
| 0.190745 | 0.1706 | 1.6116 |
| 0.20664 | 0.1881 | 1.8691 |
| 0.225426 | 0.2018 | 2.1477 |
| 0.247968 | 0.2396 | 2.4711 |
| 0.261019 | 0.268 | 2.6531 |
| 0.27552 | 0.3041 | 2.8509 |
| 0.291728 | 0.3511 | 3.0675 |
| 0.30996 | 0.4049 | 3.3023 |
| 0.330625 | 0.4694 | 3.5716 |
| 0.354241 | 0.5547 | 3.8798 |
| 0.38149 | 0.6688 | 4.2345 |
| 0.413281 | 0.825 | 4.6479 |
| 0.450852 | 1.0474 | 5.1361 |
| 0.495937 | 1.3838 | 5.7195 |
| 0.551041 | 1.9391 | 6.4093 |
| 0.619921 | 2.995 | 7.0555 |
| 0.708481 | 4.2348 | 6.9879 |
| 0.826561 | 5.3421 | 6.5156 |
| 0.991874 | 5.4405 | 4.586 |
| 1.239842 | 1.7149 | 5.542 |
| 1.653123 | 1.1623 | 10.1284 |
| 2.479684 | 2.0155 | 16.718 |
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
- —
Theoretical density function theory (DFT) calculations.