Optical constants
Refractive index of Pt (Platinum)
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
- 2.15644
- Extinction coefficient k
- 4.90455
- Permittivity ε1
- -19.4044
- Permittivity ε2
- 21.1527
- Absorption coefficient α
- 1.04888e+06 cm⁻¹
- Penetration depth δ = λ/(2πk)
- 19.0679 nm
- Abbe number Vd
- —
- Chromatic dispersion dn/dλ
- 3.7921 µm⁻¹
- Group index ng
- -0.0718038
- 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
# Pt (Platinum): Werner et al. 2009: DFT calculations; n,k 0.0176–2.48 µm
pt = ls.fetch_refractiveindex("main", "Pt", "Werner-DFT", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(pt.range_nm) # (17.586, 2479.68) nm
eps = pt.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_980ac718a0e0/lightsmith"
pt = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(pt.source) # citation and provenance travel with the data
Any dataset here, as the library's Tabulated material (pt/werner-2009-dft).
# ... load pt as above, then:
sim = ls.Simulation(
particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=pt)],
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 | 0.8021 | 0.0966 |
| 0.017712 | 0.7969 | 0.1054 |
| 0.017839 | 0.7955 | 0.1219 |
| 0.017969 | 0.8267 | 0.1204 |
| 0.0181 | 0.8093 | 0.1094 |
| 0.018233 | 0.8021 | 0.111 |
| 0.018368 | 0.8011 | 0.1292 |
| 0.018505 | 0.8035 | 0.1033 |
| 0.018644 | 0.7779 | 0.1144 |
| 0.018785 | 0.77 | 0.148 |
| 0.018929 | 0.8102 | 0.1395 |
| 0.019074 | 0.7889 | 0.1394 |
| 0.019222 | 0.7811 | 0.1453 |
| 0.019373 | 0.7784 | 0.158 |
| 0.019525 | 0.782 | 0.1688 |
| 0.01968 | 0.7778 | 0.1703 |
| 0.019837 | 0.7611 | 0.1905 |
| 0.019997 | 0.8071 | 0.2819 |
| 0.02016 | 0.9058 | 0.1463 |
| 0.020325 | 0.8318 | 0.134 |
| 0.020493 | 0.8064 | 0.1389 |
| 0.020664 | 0.789 | 0.1502 |
| 0.020838 | 0.785 | 0.1681 |
| 0.021014 | 0.7805 | 0.171 |
| 0.021194 | 0.7764 | 0.1784 |
| 0.021377 | 0.7697 | 0.1858 |
| 0.021562 | 0.7694 | 0.1975 |
| 0.021752 | 0.7603 | 0.2098 |
| 0.021944 | 0.7778 | 0.2256 |
| 0.02214 | 0.778 | 0.2243 |
| 0.022339 | 0.7855 | 0.226 |
| 0.022543 | 0.7696 | 0.2352 |
| 0.022749 | 0.8035 | 0.2732 |
| 0.02296 | 0.8074 | 0.2167 |
| 0.023175 | 0.7804 | 0.2191 |
| 0.023393 | 0.762 | 0.2336 |
| 0.023616 | 0.755 | 0.249 |
| 0.023843 | 0.7564 | 0.2723 |
| 0.024075 | 0.7564 | 0.2849 |
| 0.024311 | 0.7599 | 0.3007 |
| 0.024551 | 0.7513 | 0.3154 |
| 0.024797 | 0.7351 | 0.3469 |
| 0.025047 | 0.7198 | 0.4383 |
| 0.025303 | 0.9274 | 0.6189 |
| 0.025564 | 1.1642 | 0.2817 |
| 0.02583 | 0.9654 | 0.1704 |
| 0.026102 | 0.8944 | 0.1895 |
| 0.02638 | 0.861 | 0.2009 |
| 0.026663 | 0.848 | 0.2052 |
| 0.026953 | 0.8089 | 0.2058 |
| 0.027249 | 0.7845 | 0.2396 |
| 0.027552 | 0.795 | 0.2793 |
| 0.027862 | 0.8251 | 0.266 |
| 0.028178 | 0.8035 | 0.2582 |
| 0.028502 | 0.7949 | 0.2774 |
| 0.028834 | 0.8245 | 0.2662 |
| 0.029173 | 0.7931 | 0.249 |
| 0.02952 | 0.7684 | 0.2596 |
| 0.029876 | 0.7588 | 0.2807 |
| 0.03024 | 0.7536 | 0.2966 |
| 0.030613 | 0.7585 | 0.3105 |
| 0.030996 | 0.7518 | 0.292 |
| 0.031388 | 0.737 | 0.3182 |
| 0.031791 | 0.7277 | 0.3325 |
| 0.032204 | 0.726 | 0.3437 |
| 0.032627 | 0.7259 | 0.3492 |
| 0.033062 | 0.7097 | 0.3628 |
| 0.033509 | 0.7291 | 0.3957 |
| 0.033968 | 0.734 | 0.3712 |
| 0.03444 | 0.708 | 0.3609 |
| 0.034925 | 0.6884 | 0.3871 |
| 0.035424 | 0.6937 | 0.3964 |
| 0.035937 | 0.6585 | 0.388 |
| 0.036466 | 0.6119 | 0.4224 |
| 0.03701 | 0.6268 | 0.4571 |
| 0.037571 | 0.5993 | 0.4606 |
| 0.038149 | 0.5571 | 0.482 |
| 0.038745 | 0.4926 | 0.5715 |
| 0.03936 | 0.5032 | 0.6687 |
| 0.039995 | 0.529 | 0.7647 |
| 0.040651 | 0.5898 | 0.83 |
| 0.041328 | 0.6689 | 0.9052 |
| 0.042029 | 0.8132 | 0.9302 |
| 0.042753 | 0.9392 | 0.8667 |
| 0.043503 | 0.9544 | 0.7245 |
| 0.04428 | 0.8996 | 0.6191 |
| 0.045085 | 0.7491 | 0.6581 |
| 0.04592 | 0.7291 | 0.7461 |
| 0.046786 | 0.7807 | 0.8127 |
| 0.047686 | 0.8063 | 0.7919 |
| 0.048621 | 0.7945 | 0.8187 |
| 0.049594 | 0.7982 | 0.7836 |
| 0.050606 | 0.7122 | 0.8039 |
| 0.05166 | 0.6484 | 0.8969 |
| 0.052759 | 0.6783 | 1.0541 |
| 0.053906 | 0.7254 | 1.1221 |
| 0.055104 | 0.7676 | 1.2162 |
| 0.056356 | 0.8752 | 1.3225 |
| 0.057667 | 1.0316 | 1.3339 |
| 0.05904 | 1.0754 | 1.287 |
| 0.06048 | 1.1382 | 1.3596 |
| 0.061992 | 1.2268 | 1.4795 |
| 0.063582 | 1.5903 | 1.4642 |
| 0.065255 | 1.665 | 1.1616 |
| 0.067018 | 1.585 | 1.0744 |
| 0.06888 | 1.6578 | 0.9057 |
| 0.070848 | 1.5507 | 0.7745 |
| 0.072932 | 1.4289 | 0.7653 |
| 0.075142 | 1.3489 | 0.7896 |
| 0.07749 | 1.2902 | 0.8371 |
| 0.07999 | 1.274 | 0.9078 |
| 0.082656 | 1.3123 | 0.9445 |
| 0.085506 | 1.3202 | 0.9555 |
| 0.08856 | 1.3305 | 0.9541 |
| 0.09184 | 1.3123 | 0.9445 |
| 0.095372 | 1.2613 | 0.9705 |
| 0.099187 | 1.2393 | 1.0139 |
| 0.10332 | 1.1619 | 1.1064 |
| 0.107812 | 1.2866 | 1.2342 |
| 0.112713 | 1.2284 | 1.2569 |
| 0.11808 | 1.2686 | 1.3778 |
| 0.123984 | 1.3459 | 1.5224 |
| 0.13051 | 1.5727 | 1.6129 |
| 0.13776 | 1.6846 | 1.4363 |
| 0.145864 | 1.7015 | 1.4863 |
| 0.15498 | 1.7824 | 1.3642 |
| 0.165312 | 1.7331 | 1.3848 |
| 0.17712 | 1.7497 | 1.2253 |
| 0.190745 | 1.5107 | 1.2634 |
| 0.20664 | 1.3683 | 1.4189 |
| 0.225426 | 1.2118 | 1.6794 |
| 0.247968 | 1.1964 | 1.981 |
| 0.261019 | 1.2161 | 2.1684 |
| 0.27552 | 1.259 | 2.3352 |
| 0.291728 | 1.2919 | 2.5052 |
| 0.30996 | 1.3402 | 2.7216 |
| 0.330625 | 1.4528 | 2.9147 |
| 0.354241 | 1.5322 | 3.0868 |
| 0.38149 | 1.5915 | 3.2997 |
| 0.413281 | 1.6767 | 3.5654 |
| 0.450852 | 1.8096 | 3.8383 |
| 0.495937 | 1.8867 | 4.1583 |
| 0.551041 | 2.0178 | 4.6198 |
| 0.619921 | 2.279 | 5.1563 |
| 0.708481 | 2.5818 | 5.7772 |
| 0.826561 | 3.0929 | 6.538 |
| 0.991874 | 3.8508 | 7.4101 |
| 1.239842 | 4.9157 | 8.3099 |
| 1.653123 | 6.0673 | 8.3525 |
| 2.479684 | 3.1421 | 11.542 |
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.