Optical constants
Refractive index of Ni (Nickel)
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
- 2.15616
- Extinction coefficient k
- 4.29808
- Permittivity ε1
- -13.8244
- Permittivity ε2
- 18.5347
- Absorption coefficient α
- 919184 cm⁻¹
- Penetration depth δ = λ/(2πk)
- 21.7584 nm
- Abbe number Vd
- —
- Chromatic dispersion dn/dλ
- 7.22561 µm⁻¹
- Group index ng
- -2.08961
- 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
# Ni (Nickel): Werner et al. 2009: DFT calculations; n,k 0.0176–2.48 µm
ni = ls.fetch_refractiveindex("main", "Ni", "Werner-DFT", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ni.range_nm) # (17.586, 2479.68) nm
eps = ni.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_2ceb49771a25/lightsmith"
ni = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(ni.source) # citation and provenance travel with the data
Any dataset here, as the library's Tabulated material (ni/werner-2009-dft).
# ... load ni as above, then:
sim = ls.Simulation(
particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=ni)],
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 | 0.884 | 0.116 |
| 0.017712 | 0.9017 | 0.1225 |
| 0.017839 | 0.9139 | 0.1012 |
| 0.017969 | 0.8945 | 0.085 |
| 0.0181 | 0.8809 | 0.0891 |
| 0.018233 | 0.8702 | 0.096 |
| 0.018368 | 0.8619 | 0.1044 |
| 0.018505 | 0.8532 | 0.1137 |
| 0.018644 | 0.8444 | 0.1267 |
| 0.018785 | 0.8365 | 0.1441 |
| 0.018929 | 0.8296 | 0.1681 |
| 0.019074 | 0.8299 | 0.1994 |
| 0.019222 | 0.8398 | 0.2352 |
| 0.019373 | 0.8127 | 0.2541 |
| 0.019525 | 0.9924 | 0.6338 |
| 0.01968 | 1.2183 | 0.1354 |
| 0.019837 | 1.0754 | 0.0916 |
| 0.019997 | 1.0261 | 0.0887 |
| 0.02016 | 1.0022 | 0.0913 |
| 0.020325 | 0.9897 | 0.0925 |
| 0.020493 | 0.983 | 0.0916 |
| 0.020664 | 0.9786 | 0.0879 |
| 0.020838 | 0.9693 | 0.0805 |
| 0.021014 | 0.9571 | 0.0778 |
| 0.021194 | 0.9464 | 0.0819 |
| 0.021377 | 0.9404 | 0.0856 |
| 0.021562 | 0.9365 | 0.0892 |
| 0.021752 | 0.9341 | 0.0926 |
| 0.021944 | 0.9322 | 0.0944 |
| 0.02214 | 0.9309 | 0.0924 |
| 0.022339 | 0.9259 | 0.0913 |
| 0.022543 | 0.9207 | 0.0934 |
| 0.022749 | 0.9166 | 0.096 |
| 0.02296 | 0.9131 | 0.0986 |
| 0.023175 | 0.9114 | 0.1031 |
| 0.023393 | 0.9115 | 0.1042 |
| 0.023616 | 0.9102 | 0.1022 |
| 0.023843 | 0.9018 | 0.1009 |
| 0.024075 | 0.8941 | 0.1068 |
| 0.024311 | 0.8911 | 0.1139 |
| 0.024551 | 0.8913 | 0.12 |
| 0.024797 | 0.8919 | 0.1245 |
| 0.025047 | 0.8929 | 0.1277 |
| 0.025303 | 0.8942 | 0.1292 |
| 0.025564 | 0.8953 | 0.129 |
| 0.02583 | 0.892 | 0.1289 |
| 0.026102 | 0.8904 | 0.1297 |
| 0.02638 | 0.8871 | 0.1302 |
| 0.026663 | 0.8846 | 0.1323 |
| 0.026953 | 0.8819 | 0.1332 |
| 0.027249 | 0.8771 | 0.1351 |
| 0.027552 | 0.873 | 0.1386 |
| 0.027862 | 0.8711 | 0.1441 |
| 0.028178 | 0.8699 | 0.1437 |
| 0.028502 | 0.8657 | 0.1461 |
| 0.028834 | 0.8609 | 0.1487 |
| 0.029173 | 0.8562 | 0.1518 |
| 0.02952 | 0.8515 | 0.155 |
| 0.029876 | 0.8476 | 0.1593 |
| 0.03024 | 0.8411 | 0.1629 |
| 0.030613 | 0.8339 | 0.1685 |
| 0.030996 | 0.8284 | 0.1768 |
| 0.031388 | 0.8242 | 0.185 |
| 0.031791 | 0.8211 | 0.193 |
| 0.032204 | 0.8173 | 0.2025 |
| 0.032627 | 0.8146 | 0.2111 |
| 0.033062 | 0.813 | 0.2214 |
| 0.033509 | 0.8129 | 0.2319 |
| 0.033968 | 0.8153 | 0.2422 |
| 0.03444 | 0.8199 | 0.2476 |
| 0.034925 | 0.8223 | 0.2493 |
| 0.035424 | 0.8201 | 0.2561 |
| 0.035937 | 0.8239 | 0.2567 |
| 0.036466 | 0.8192 | 0.2533 |
| 0.03701 | 0.8051 | 0.2571 |
| 0.037571 | 0.7926 | 0.2687 |
| 0.038149 | 0.7893 | 0.2882 |
| 0.038745 | 0.7948 | 0.2995 |
| 0.03936 | 0.802 | 0.3117 |
| 0.039995 | 0.8077 | 0.2972 |
| 0.040651 | 0.7918 | 0.281 |
| 0.041328 | 0.7543 | 0.2738 |
| 0.042029 | 0.7081 | 0.3008 |
| 0.042753 | 0.6686 | 0.3522 |
| 0.043503 | 0.6674 | 0.4128 |
| 0.04428 | 0.6765 | 0.4612 |
| 0.045085 | 0.6897 | 0.5154 |
| 0.04592 | 0.7191 | 0.5632 |
| 0.046786 | 0.7654 | 0.6023 |
| 0.047686 | 0.8134 | 0.6233 |
| 0.048621 | 0.8692 | 0.6281 |
| 0.049594 | 0.9153 | 0.6146 |
| 0.050606 | 0.9513 | 0.5839 |
| 0.05166 | 0.9554 | 0.5485 |
| 0.052759 | 0.9586 | 0.5357 |
| 0.053906 | 0.9459 | 0.5106 |
| 0.055104 | 0.9242 | 0.5021 |
| 0.056356 | 0.9004 | 0.5037 |
| 0.057667 | 0.8749 | 0.5172 |
| 0.05904 | 0.8532 | 0.5421 |
| 0.06048 | 0.8378 | 0.5753 |
| 0.061992 | 0.8321 | 0.6159 |
| 0.063582 | 0.8399 | 0.6584 |
| 0.065255 | 0.8583 | 0.6926 |
| 0.067018 | 0.8737 | 0.7193 |
| 0.06888 | 0.887 | 0.7435 |
| 0.070848 | 0.9011 | 0.7752 |
| 0.072932 | 0.9213 | 0.8092 |
| 0.075142 | 0.9504 | 0.8428 |
| 0.07749 | 0.9891 | 0.8731 |
| 0.07999 | 1.0421 | 0.8933 |
| 0.082656 | 1.0925 | 0.8732 |
| 0.085506 | 1.1111 | 0.8622 |
| 0.08856 | 1.1403 | 0.8445 |
| 0.09184 | 1.1283 | 0.7875 |
| 0.095372 | 1.0765 | 0.8086 |
| 0.099187 | 1.0645 | 0.8469 |
| 0.10332 | 1.0635 | 0.8684 |
| 0.107812 | 1.032 | 0.8798 |
| 0.112713 | 0.9803 | 0.9466 |
| 0.11808 | 0.9956 | 1.0682 |
| 0.123984 | 1.087 | 1.1035 |
| 0.13051 | 1.0458 | 1.1255 |
| 0.13776 | 1.0736 | 1.2262 |
| 0.145864 | 1.1251 | 1.2719 |
| 0.15498 | 1.1499 | 1.3188 |
| 0.165312 | 1.1273 | 1.3107 |
| 0.17712 | 1.0002 | 1.4627 |
| 0.190745 | 0.9778 | 1.7488 |
| 0.20664 | 1.1887 | 2.1485 |
| 0.225426 | 1.8849 | 2.163 |
| 0.247968 | 1.9972 | 1.583 |
| 0.261019 | 1.5795 | 1.3732 |
| 0.27552 | 1.2474 | 1.6426 |
| 0.291728 | 1.1685 | 1.9286 |
| 0.30996 | 1.1632 | 2.1879 |
| 0.330625 | 1.2019 | 2.4408 |
| 0.354241 | 1.2801 | 2.692 |
| 0.38149 | 1.3985 | 2.9424 |
| 0.413281 | 1.5675 | 3.1356 |
| 0.450852 | 1.6111 | 3.3295 |
| 0.495937 | 1.6956 | 3.6809 |
| 0.551041 | 1.892 | 4.1311 |
| 0.619921 | 2.3897 | 4.4457 |
| 0.708481 | 2.526 | 4.6066 |
| 0.826561 | 2.6303 | 5.0874 |
| 0.991874 | 2.7829 | 5.8264 |
| 1.239842 | 3.1325 | 6.9165 |
| 1.653123 | 3.1188 | 8.4249 |
| 2.479684 | 3.0684 | 12.9552 |
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.