Optical constants
Refractive index of Ni (Nickel)
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
- 1.163
- Extinction coefficient k
- 5.71846
- Permittivity ε1
- -31.3482
- Permittivity ε2
- 13.3012
- Absorption coefficient α
- 1.22295e+06 cm⁻¹
- Penetration depth δ = λ/(2πk)
- 16.354 nm
- Abbe number Vd
- —
- Chromatic dispersion dn/dλ
- 2.38531 µm⁻¹
- Group index ng
- -0.238602
- 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: n,k 0.0176–2.48 µm
ni = ls.fetch_refractiveindex("main", "Ni", "Werner", 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_2a4be6ba2749/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).
# ... 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 | 0.8996 | 0.1556 |
| 0.017712 | 0.8961 | 0.1579 |
| 0.017839 | 0.8927 | 0.1608 |
| 0.017969 | 0.8883 | 0.1644 |
| 0.0181 | 0.8829 | 0.1688 |
| 0.018233 | 0.8765 | 0.174 |
| 0.018368 | 0.8686 | 0.1802 |
| 0.018505 | 0.8595 | 0.1891 |
| 0.018644 | 0.8476 | 0.2012 |
| 0.018785 | 0.8343 | 0.2193 |
| 0.018929 | 0.8181 | 0.2475 |
| 0.019074 | 0.8046 | 0.2939 |
| 0.019222 | 0.8093 | 0.3688 |
| 0.019373 | 0.8758 | 0.4647 |
| 0.019525 | 1.0291 | 0.4941 |
| 0.01968 | 1.1437 | 0.3939 |
| 0.019837 | 1.1528 | 0.288 |
| 0.019997 | 1.1258 | 0.2287 |
| 0.02016 | 1.0979 | 0.1986 |
| 0.020325 | 1.0758 | 0.1827 |
| 0.020493 | 1.0584 | 0.1738 |
| 0.020664 | 1.0447 | 0.1685 |
| 0.020838 | 1.0337 | 0.1659 |
| 0.021014 | 1.0252 | 0.1644 |
| 0.021194 | 1.0176 | 0.1631 |
| 0.021377 | 1.0117 | 0.1631 |
| 0.021562 | 1.0063 | 0.163 |
| 0.021752 | 1.0019 | 0.1637 |
| 0.021944 | 0.9975 | 0.1644 |
| 0.02214 | 0.9941 | 0.165 |
| 0.022339 | 0.9907 | 0.1655 |
| 0.022543 | 0.9878 | 0.1665 |
| 0.022749 | 0.9849 | 0.1675 |
| 0.02296 | 0.9825 | 0.1684 |
| 0.023175 | 0.9802 | 0.1699 |
| 0.023393 | 0.9779 | 0.1713 |
| 0.023616 | 0.976 | 0.1721 |
| 0.023843 | 0.9737 | 0.1736 |
| 0.024075 | 0.9719 | 0.1749 |
| 0.024311 | 0.9701 | 0.1763 |
| 0.024551 | 0.9683 | 0.1776 |
| 0.024797 | 0.9665 | 0.179 |
| 0.025047 | 0.9647 | 0.1809 |
| 0.025303 | 0.9629 | 0.1823 |
| 0.025564 | 0.9612 | 0.1841 |
| 0.02583 | 0.9594 | 0.1855 |
| 0.026102 | 0.9577 | 0.1874 |
| 0.02638 | 0.956 | 0.1893 |
| 0.026663 | 0.9542 | 0.1913 |
| 0.026953 | 0.9525 | 0.1932 |
| 0.027249 | 0.9508 | 0.1951 |
| 0.027552 | 0.9491 | 0.197 |
| 0.027862 | 0.9474 | 0.199 |
| 0.028178 | 0.9452 | 0.201 |
| 0.028502 | 0.9435 | 0.203 |
| 0.028834 | 0.9413 | 0.205 |
| 0.029173 | 0.9391 | 0.2071 |
| 0.02952 | 0.9369 | 0.2092 |
| 0.029876 | 0.9348 | 0.2118 |
| 0.03024 | 0.9326 | 0.2139 |
| 0.030613 | 0.9299 | 0.2162 |
| 0.030996 | 0.9267 | 0.2185 |
| 0.031388 | 0.9241 | 0.2213 |
| 0.031791 | 0.9204 | 0.2238 |
| 0.032204 | 0.9172 | 0.2262 |
| 0.032627 | 0.913 | 0.2295 |
| 0.033062 | 0.9088 | 0.2322 |
| 0.033509 | 0.9036 | 0.2357 |
| 0.033968 | 0.8986 | 0.2398 |
| 0.03444 | 0.8926 | 0.2442 |
| 0.034925 | 0.8849 | 0.2492 |
| 0.035424 | 0.8767 | 0.2561 |
| 0.035937 | 0.8659 | 0.2662 |
| 0.036466 | 0.8536 | 0.2858 |
| 0.03701 | 0.8588 | 0.3295 |
| 0.037571 | 0.921 | 0.3198 |
| 0.038149 | 0.9047 | 0.2835 |
| 0.038745 | 0.8831 | 0.2808 |
| 0.03936 | 0.8672 | 0.2865 |
| 0.039995 | 0.8537 | 0.2946 |
| 0.040651 | 0.8421 | 0.3052 |
| 0.041328 | 0.8303 | 0.3168 |
| 0.042029 | 0.8199 | 0.3305 |
| 0.042753 | 0.8095 | 0.3453 |
| 0.043503 | 0.7997 | 0.3626 |
| 0.04428 | 0.7916 | 0.3815 |
| 0.045085 | 0.7841 | 0.4023 |
| 0.04592 | 0.7784 | 0.4253 |
| 0.046786 | 0.7748 | 0.4498 |
| 0.047686 | 0.7743 | 0.4759 |
| 0.048621 | 0.7771 | 0.5019 |
| 0.049594 | 0.7829 | 0.5282 |
| 0.050606 | 0.7922 | 0.5529 |
| 0.05166 | 0.8041 | 0.5758 |
| 0.052759 | 0.8178 | 0.5949 |
| 0.053906 | 0.8312 | 0.6106 |
| 0.055104 | 0.8437 | 0.6228 |
| 0.056356 | 0.8532 | 0.6324 |
| 0.057667 | 0.8592 | 0.6413 |
| 0.05904 | 0.8608 | 0.6511 |
| 0.06048 | 0.8592 | 0.6634 |
| 0.061992 | 0.8553 | 0.6793 |
| 0.063582 | 0.8505 | 0.7002 |
| 0.065255 | 0.8466 | 0.7258 |
| 0.067018 | 0.8447 | 0.7559 |
| 0.06888 | 0.8462 | 0.79 |
| 0.070848 | 0.8517 | 0.8266 |
| 0.072932 | 0.8623 | 0.8652 |
| 0.075142 | 0.8777 | 0.9041 |
| 0.07749 | 0.8983 | 0.9423 |
| 0.07999 | 0.9231 | 0.9783 |
| 0.082656 | 0.9517 | 1.0108 |
| 0.085506 | 0.9826 | 1.039 |
| 0.08856 | 1.014 | 1.0626 |
| 0.09184 | 1.0441 | 1.0808 |
| 0.095372 | 1.0702 | 1.0951 |
| 0.099187 | 1.0909 | 1.1064 |
| 0.10332 | 1.1034 | 1.1174 |
| 0.107812 | 1.1072 | 1.1313 |
| 0.112713 | 1.1019 | 1.1525 |
| 0.11808 | 1.0893 | 1.1847 |
| 0.123984 | 1.0723 | 1.2328 |
| 0.13051 | 1.0568 | 1.3007 |
| 0.13776 | 1.0513 | 1.3893 |
| 0.145864 | 1.0687 | 1.4934 |
| 0.15498 | 1.1173 | 1.5901 |
| 0.165312 | 1.1659 | 1.649 |
| 0.17712 | 1.1608 | 1.7048 |
| 0.190745 | 1.1244 | 1.8183 |
| 0.20664 | 1.0981 | 1.9957 |
| 0.225426 | 1.1021 | 2.2335 |
| 0.247968 | 1.1658 | 2.5377 |
| 0.261019 | 1.2409 | 2.7109 |
| 0.27552 | 1.3623 | 2.8823 |
| 0.291728 | 1.5359 | 3.0174 |
| 0.30996 | 1.7308 | 3.0636 |
| 0.330625 | 1.8491 | 3.0017 |
| 0.354241 | 1.7887 | 2.9265 |
| 0.38149 | 1.5692 | 2.9942 |
| 0.413281 | 1.3147 | 3.2825 |
| 0.450852 | 1.1294 | 3.7654 |
| 0.495937 | 1.0475 | 4.4014 |
| 0.551041 | 1.0758 | 5.1912 |
| 0.619921 | 1.2401 | 6.1846 |
| 0.708481 | 1.6301 | 7.488 |
| 0.826561 | 2.5232 | 9.2866 |
| 0.991874 | 4.8909 | 11.6849 |
| 1.239842 | 10.8285 | 11.8415 |
| 1.653123 | 12.4317 | 5.895 |
| 2.479684 | 7.1193 | 4.0993 |
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.