Optical constants
Refractive index of Fe (Iron)
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
- 1.41215
- Extinction coefficient k
- 6.56039
- Permittivity ε1
- -41.0446
- Permittivity ε2
- 18.5285
- Absorption coefficient α
- 1.40300e+06 cm⁻¹
- Penetration depth δ = λ/(2πk)
- 14.2552 nm
- Abbe number Vd
- —
- Chromatic dispersion dn/dλ
- 5.04791 µm⁻¹
- Group index ng
- -1.55401
- 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
# Fe (Iron): Werner et al. 2009: n,k 0.0176–2.48 µm
fe = ls.fetch_refractiveindex("main", "Fe", "Werner", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(fe.range_nm) # (17.586, 2479.68) nm
eps = fe.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_c8e9ebc1a11b/lightsmith"
fe = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(fe.source) # citation and provenance travel with the data
Any dataset here, as the library's Tabulated material (fe/werner-2009).
# ... load fe as above, then:
sim = ls.Simulation(
particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=fe)],
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 | 0.8555 | 0.1262 |
| 0.017712 | 0.8552 | 0.1316 |
| 0.017839 | 0.8543 | 0.137 |
| 0.017969 | 0.8546 | 0.1428 |
| 0.0181 | 0.8545 | 0.1486 |
| 0.018233 | 0.8555 | 0.1543 |
| 0.018368 | 0.8566 | 0.1605 |
| 0.018505 | 0.8582 | 0.166 |
| 0.018644 | 0.8605 | 0.1714 |
| 0.018785 | 0.8633 | 0.1767 |
| 0.018929 | 0.8666 | 0.1817 |
| 0.019074 | 0.8704 | 0.1861 |
| 0.019222 | 0.8741 | 0.1899 |
| 0.019373 | 0.8775 | 0.1926 |
| 0.019525 | 0.8815 | 0.1951 |
| 0.01968 | 0.8847 | 0.1967 |
| 0.019837 | 0.8877 | 0.1977 |
| 0.019997 | 0.89 | 0.1978 |
| 0.02016 | 0.8916 | 0.1974 |
| 0.020325 | 0.8916 | 0.1974 |
| 0.020493 | 0.8908 | 0.1964 |
| 0.020664 | 0.8885 | 0.1958 |
| 0.020838 | 0.8846 | 0.1961 |
| 0.021014 | 0.8784 | 0.1964 |
| 0.021194 | 0.8704 | 0.1988 |
| 0.021377 | 0.8596 | 0.2024 |
| 0.021562 | 0.8466 | 0.2091 |
| 0.021752 | 0.8303 | 0.2198 |
| 0.021944 | 0.81 | 0.237 |
| 0.02214 | 0.7867 | 0.2644 |
| 0.022339 | 0.7617 | 0.3085 |
| 0.022543 | 0.7433 | 0.3787 |
| 0.022749 | 0.7524 | 0.4838 |
| 0.02296 | 0.8287 | 0.6106 |
| 0.023175 | 1.0068 | 0.6948 |
| 0.023393 | 1.222 | 0.6326 |
| 0.023616 | 1.3227 | 0.4642 |
| 0.023843 | 1.3147 | 0.3263 |
| 0.024075 | 1.2744 | 0.2432 |
| 0.024311 | 1.2334 | 0.1954 |
| 0.024551 | 1.1982 | 0.1665 |
| 0.024797 | 1.1692 | 0.1484 |
| 0.025047 | 1.1452 | 0.1362 |
| 0.025303 | 1.1253 | 0.128 |
| 0.025564 | 1.1081 | 0.1218 |
| 0.02583 | 1.0936 | 0.118 |
| 0.026102 | 1.0804 | 0.1148 |
| 0.02638 | 1.0685 | 0.1128 |
| 0.026663 | 1.058 | 0.1111 |
| 0.026953 | 1.0484 | 0.1102 |
| 0.027249 | 1.0397 | 0.1092 |
| 0.027552 | 1.0315 | 0.1091 |
| 0.027862 | 1.0237 | 0.1089 |
| 0.028178 | 1.0158 | 0.1093 |
| 0.028502 | 1.009 | 0.1095 |
| 0.028834 | 1.0021 | 0.1103 |
| 0.029173 | 0.9957 | 0.1115 |
| 0.02952 | 0.9887 | 0.1123 |
| 0.029876 | 0.9828 | 0.1135 |
| 0.03024 | 0.9764 | 0.1152 |
| 0.030613 | 0.9703 | 0.1165 |
| 0.030996 | 0.9644 | 0.1182 |
| 0.031388 | 0.9578 | 0.1201 |
| 0.031791 | 0.9518 | 0.1224 |
| 0.032204 | 0.9458 | 0.1248 |
| 0.032627 | 0.9398 | 0.1272 |
| 0.033062 | 0.9337 | 0.1296 |
| 0.033509 | 0.9271 | 0.1327 |
| 0.033968 | 0.9211 | 0.1357 |
| 0.03444 | 0.9145 | 0.1389 |
| 0.034925 | 0.9079 | 0.1426 |
| 0.035424 | 0.9008 | 0.1465 |
| 0.035937 | 0.8937 | 0.1505 |
| 0.036466 | 0.8866 | 0.1551 |
| 0.03701 | 0.8795 | 0.1597 |
| 0.037571 | 0.8718 | 0.1646 |
| 0.038149 | 0.8643 | 0.1701 |
| 0.038745 | 0.8562 | 0.1764 |
| 0.03936 | 0.8476 | 0.1829 |
| 0.039995 | 0.8391 | 0.1901 |
| 0.040651 | 0.8301 | 0.1976 |
| 0.041328 | 0.8212 | 0.2058 |
| 0.042029 | 0.8119 | 0.2149 |
| 0.042753 | 0.8023 | 0.225 |
| 0.043503 | 0.7923 | 0.236 |
| 0.04428 | 0.782 | 0.2481 |
| 0.045085 | 0.7715 | 0.2612 |
| 0.04592 | 0.7608 | 0.2754 |
| 0.046786 | 0.7502 | 0.2912 |
| 0.047686 | 0.7399 | 0.3088 |
| 0.048621 | 0.7301 | 0.3287 |
| 0.049594 | 0.7206 | 0.3497 |
| 0.050606 | 0.7121 | 0.3729 |
| 0.05166 | 0.7046 | 0.3981 |
| 0.052759 | 0.699 | 0.4249 |
| 0.053906 | 0.6959 | 0.4541 |
| 0.055104 | 0.6947 | 0.4844 |
| 0.056356 | 0.6968 | 0.5152 |
| 0.057667 | 0.7022 | 0.5469 |
| 0.05904 | 0.7109 | 0.5774 |
| 0.06048 | 0.7227 | 0.6061 |
| 0.061992 | 0.7369 | 0.6324 |
| 0.063582 | 0.7517 | 0.6558 |
| 0.065255 | 0.7669 | 0.6754 |
| 0.067018 | 0.7793 | 0.6923 |
| 0.06888 | 0.7889 | 0.7073 |
| 0.070848 | 0.7941 | 0.7222 |
| 0.072932 | 0.796 | 0.7393 |
| 0.075142 | 0.7944 | 0.7603 |
| 0.07749 | 0.7912 | 0.7855 |
| 0.07999 | 0.7883 | 0.8163 |
| 0.082656 | 0.7862 | 0.8522 |
| 0.085506 | 0.7869 | 0.8934 |
| 0.08856 | 0.7911 | 0.938 |
| 0.09184 | 0.7994 | 0.9864 |
| 0.095372 | 0.8123 | 1.0372 |
| 0.099187 | 0.8299 | 1.0899 |
| 0.10332 | 0.8523 | 1.1434 |
| 0.107812 | 0.8791 | 1.1966 |
| 0.112713 | 0.9105 | 1.2494 |
| 0.11808 | 0.9448 | 1.3003 |
| 0.123984 | 0.9811 | 1.3485 |
| 0.13051 | 1.0174 | 1.3943 |
| 0.13776 | 1.0508 | 1.4374 |
| 0.145864 | 1.078 | 1.4792 |
| 0.15498 | 1.0952 | 1.523 |
| 0.165312 | 1.0979 | 1.5749 |
| 0.17712 | 1.0834 | 1.644 |
| 0.190745 | 1.0524 | 1.7437 |
| 0.20664 | 1.0114 | 1.8905 |
| 0.225426 | 0.9786 | 2.1009 |
| 0.247968 | 0.9848 | 2.3822 |
| 0.261019 | 1.0157 | 2.5445 |
| 0.27552 | 1.0709 | 2.7112 |
| 0.291728 | 1.1477 | 2.8678 |
| 0.30996 | 1.2262 | 2.9991 |
| 0.330625 | 1.2657 | 3.1106 |
| 0.354241 | 1.2321 | 3.2521 |
| 0.38149 | 1.1422 | 3.4954 |
| 0.413281 | 1.0547 | 3.8792 |
| 0.450852 | 1.0197 | 4.4072 |
| 0.495937 | 1.0666 | 5.0863 |
| 0.551041 | 1.2276 | 5.9541 |
| 0.619921 | 1.5753 | 7.0964 |
| 0.708481 | 2.3096 | 8.6751 |
| 0.826561 | 4.0769 | 10.9173 |
| 0.991874 | 9.0305 | 12.9363 |
| 1.239842 | 14.9781 | 8.1082 |
| 1.653123 | 14.0346 | 3.2184 |
| 2.479684 | 12.6146 | 1.4154 |
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.