Optical constants
Refractive index of Pt (Platinum)
Rakić et al. 1998: Brendel-Bormann model; n,k 0.248–12.4 µm
- Data
- tabulated nk
- Range
- 0.248–12.4 µm
- Points
- 200
- Licence
- CC0-1.0
Plot
Click the plot to set the calculator wavelength.
At one wavelength
- Refractive index n
- 2.18799
- Extinction coefficient k
- 3.92846
- Permittivity ε1
- -10.6455
- Permittivity ε2
- 17.1908
- Absorption coefficient α
- 840137 cm⁻¹
- Penetration depth δ = λ/(2πk)
- 23.8056 nm
- Abbe number Vd
- —
- Chromatic dispersion dn/dλ
- 2.83348 µm⁻¹
- Group index ng
- 0.523036
- 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): Rakić et al. 1998: Brendel-Bormann model; n,k 0.248–12.4 µm
pt = ls.fetch_refractiveindex("main", "Pt", "Rakic-BB", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(pt.range_nm) # (247.97, 12398) 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_9d3b3b50a7b3/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/rakic-1998-bb).
# ... 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
[Calculation script (Python)]
- doi:10.1364/ao.37.005271 Optical properties of metallic films for vertical-cavity optoelectronic devices, Applied Optics (1998)
Cite
Aleksandar D. Rakić, Aleksandra B. Djurišić, Jovan M. Elazar and Marian L. Majewski. Optical properties of metallic films for vertical-cavity optoelectronic devices. Applied Optics, 37, 5271 (1998), doi:10.1364/ao.37.005271; [Calculation script (Python)]; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)
Data
200 rows as published| λ (µm) | n | k |
|---|---|---|
| 0.24797 | 1.4979 | 1.681 |
| 0.25289 | 1.48 | 1.7252 |
| 0.25791 | 1.4657 | 1.772 |
| 0.26303 | 1.4552 | 1.8208 |
| 0.26825 | 1.4484 | 1.8711 |
| 0.27358 | 1.4451 | 1.9223 |
| 0.27901 | 1.4452 | 1.974 |
| 0.28455 | 1.4483 | 2.0259 |
| 0.2902 | 1.4543 | 2.0776 |
| 0.29596 | 1.4628 | 2.129 |
| 0.30184 | 1.4734 | 2.1798 |
| 0.30783 | 1.486 | 2.2299 |
| 0.31394 | 1.5003 | 2.2793 |
| 0.32017 | 1.5158 | 2.3279 |
| 0.32653 | 1.5325 | 2.3758 |
| 0.33301 | 1.5501 | 2.4229 |
| 0.33962 | 1.5683 | 2.4694 |
| 0.34637 | 1.587 | 2.5154 |
| 0.35324 | 1.6061 | 2.561 |
| 0.36025 | 1.6254 | 2.6062 |
| 0.36741 | 1.6448 | 2.6513 |
| 0.3747 | 1.6643 | 2.6963 |
| 0.38214 | 1.6838 | 2.7414 |
| 0.38973 | 1.7032 | 2.7867 |
| 0.39746 | 1.7225 | 2.8323 |
| 0.40535 | 1.7418 | 2.8785 |
| 0.4134 | 1.7611 | 2.9253 |
| 0.42161 | 1.7804 | 2.9727 |
| 0.42998 | 1.7998 | 3.021 |
| 0.43852 | 1.8193 | 3.0702 |
| 0.44722 | 1.839 | 3.1204 |
| 0.4561 | 1.8591 | 3.1717 |
| 0.46515 | 1.8796 | 3.224 |
| 0.47439 | 1.9006 | 3.2774 |
| 0.48381 | 1.9222 | 3.332 |
| 0.49341 | 1.9445 | 3.3878 |
| 0.50321 | 1.9676 | 3.4447 |
| 0.5132 | 1.9916 | 3.5027 |
| 0.52339 | 2.0166 | 3.5618 |
| 0.53378 | 2.0427 | 3.6219 |
| 0.54437 | 2.0699 | 3.683 |
| 0.55518 | 2.0984 | 3.7451 |
| 0.5662 | 2.1281 | 3.8079 |
| 0.57744 | 2.1592 | 3.8715 |
| 0.58891 | 2.1917 | 3.9358 |
| 0.6006 | 2.2255 | 4.0007 |
| 0.61252 | 2.2607 | 4.0661 |
| 0.62468 | 2.2974 | 4.1318 |
| 0.63709 | 2.3354 | 4.1979 |
| 0.64973 | 2.3748 | 4.2641 |
| 0.66263 | 2.4155 | 4.3305 |
| 0.67579 | 2.4574 | 4.3969 |
| 0.6892 | 2.5006 | 4.4633 |
| 0.70289 | 2.5449 | 4.5297 |
| 0.71684 | 2.5903 | 4.5958 |
| 0.73107 | 2.6366 | 4.6618 |
| 0.74559 | 2.6837 | 4.7276 |
| 0.76039 | 2.7317 | 4.7932 |
| 0.77549 | 2.7802 | 4.8586 |
| 0.79088 | 2.8294 | 4.9238 |
| 0.80658 | 2.8789 | 4.9889 |
| 0.8226 | 2.9288 | 5.054 |
| 0.83893 | 2.979 | 5.1191 |
| 0.85558 | 3.0294 | 5.1843 |
| 0.87257 | 3.08 | 5.2498 |
| 0.88989 | 3.1306 | 5.3158 |
| 0.90756 | 3.1814 | 5.3823 |
| 0.92557 | 3.2324 | 5.4496 |
| 0.94395 | 3.2835 | 5.5178 |
| 0.96269 | 3.335 | 5.5871 |
| 0.9818 | 3.3871 | 5.6577 |
| 1.0013 | 3.4398 | 5.7297 |
| 1.0212 | 3.4934 | 5.8033 |
| 1.0414 | 3.5483 | 5.8785 |
| 1.0621 | 3.6049 | 5.9554 |
| 1.0832 | 3.6634 | 6.0341 |
| 1.1047 | 3.7245 | 6.1143 |
| 1.1266 | 3.7885 | 6.196 |
| 1.149 | 3.856 | 6.2788 |
| 1.1718 | 3.9275 | 6.3623 |
| 1.1951 | 4.0035 | 6.446 |
| 1.2188 | 4.0844 | 6.5291 |
| 1.243 | 4.1706 | 6.6107 |
| 1.2677 | 4.2623 | 6.6899 |
| 1.2929 | 4.3595 | 6.7653 |
| 1.3185 | 4.4621 | 6.8357 |
| 1.3447 | 4.5695 | 6.8998 |
| 1.3714 | 4.681 | 6.956 |
| 1.3986 | 4.7954 | 7.0031 |
| 1.4264 | 4.9111 | 7.0399 |
| 1.4547 | 5.0264 | 7.0655 |
| 1.4836 | 5.1391 | 7.0792 |
| 1.513 | 5.2469 | 7.081 |
| 1.5431 | 5.3473 | 7.071 |
| 1.5737 | 5.4381 | 7.0502 |
| 1.605 | 5.517 | 7.0198 |
| 1.6368 | 5.582 | 6.9815 |
| 1.6693 | 5.6314 | 6.9375 |
| 1.7025 | 5.664 | 6.8899 |
| 1.7363 | 5.679 | 6.8415 |
| 1.7707 | 5.6762 | 6.7946 |
| 1.8059 | 5.6555 | 6.7518 |
| 1.8417 | 5.6176 | 6.7156 |
| 1.8783 | 5.563 | 6.6881 |
| 1.9156 | 5.4931 | 6.6714 |
| 1.9536 | 5.409 | 6.6674 |
| 1.9924 | 5.3124 | 6.6776 |
| 2.0319 | 5.2048 | 6.7034 |
| 2.0723 | 5.088 | 6.7457 |
| 2.1134 | 4.9639 | 6.8054 |
| 2.1554 | 4.8343 | 6.883 |
| 2.1982 | 4.7012 | 6.9789 |
| 2.2418 | 4.5664 | 7.093 |
| 2.2863 | 4.4316 | 7.2252 |
| 2.3317 | 4.2987 | 7.3748 |
| 2.378 | 4.1689 | 7.5413 |
| 2.4252 | 4.0438 | 7.7237 |
| 2.4734 | 3.9244 | 7.9211 |
| 2.5225 | 3.8115 | 8.1325 |
| 2.5725 | 3.7059 | 8.3567 |
| 2.6236 | 3.608 | 8.5928 |
| 2.6757 | 3.5181 | 8.8395 |
| 2.7288 | 3.4365 | 9.0961 |
| 2.783 | 3.3629 | 9.3617 |
| 2.8383 | 3.2975 | 9.6354 |
| 2.8946 | 3.2401 | 9.9165 |
| 2.9521 | 3.1904 | 10.205 |
| 3.0107 | 3.1483 | 10.499 |
| 3.0704 | 3.1134 | 10.8 |
| 3.1314 | 3.0856 | 11.106 |
| 3.1936 | 3.0646 | 11.417 |
| 3.257 | 3.0502 | 11.734 |
| 3.3216 | 3.0421 | 12.056 |
| 3.3876 | 3.0402 | 12.383 |
| 3.4548 | 3.0442 | 12.714 |
| 3.5234 | 3.054 | 13.05 |
| 3.5934 | 3.0694 | 13.391 |
| 3.6647 | 3.0904 | 13.737 |
| 3.7375 | 3.1168 | 14.087 |
| 3.8117 | 3.1484 | 14.442 |
| 3.8873 | 3.1853 | 14.801 |
| 3.9645 | 3.2273 | 15.165 |
| 4.0432 | 3.2744 | 15.534 |
| 4.1235 | 3.3265 | 15.908 |
| 4.2053 | 3.3837 | 16.287 |
| 4.2888 | 3.446 | 16.67 |
| 4.374 | 3.5132 | 17.059 |
| 4.4608 | 3.5855 | 17.452 |
| 4.5494 | 3.6628 | 17.851 |
| 4.6397 | 3.7453 | 18.254 |
| 4.7318 | 3.8328 | 18.663 |
| 4.8257 | 3.9255 | 19.078 |
| 4.9216 | 4.0235 | 19.497 |
| 5.0193 | 4.1267 | 19.922 |
| 5.1189 | 4.2353 | 20.352 |
| 5.2205 | 4.3494 | 20.788 |
| 5.3242 | 4.469 | 21.229 |
| 5.4299 | 4.5941 | 21.676 |
| 5.5377 | 4.725 | 22.129 |
| 5.6476 | 4.8617 | 22.587 |
| 5.7597 | 5.0042 | 23.051 |
| 5.8741 | 5.1528 | 23.52 |
| 5.9907 | 5.3076 | 23.996 |
| 6.1096 | 5.4685 | 24.477 |
| 6.2309 | 5.6358 | 24.964 |
| 6.3546 | 5.8096 | 25.457 |
| 6.4808 | 5.9901 | 25.955 |
| 6.6094 | 6.1772 | 26.46 |
| 6.7407 | 6.3713 | 26.97 |
| 6.8745 | 6.5723 | 27.486 |
| 7.011 | 6.7805 | 28.008 |
| 7.1502 | 6.9959 | 28.536 |
| 7.2921 | 7.2188 | 29.07 |
| 7.4369 | 7.4492 | 29.609 |
| 7.5845 | 7.6874 | 30.154 |
| 7.7351 | 7.9333 | 30.705 |
| 7.8887 | 8.1872 | 31.262 |
| 8.0453 | 8.4493 | 31.824 |
| 8.205 | 8.7195 | 32.392 |
| 8.3679 | 8.9982 | 32.965 |
| 8.534 | 9.2853 | 33.544 |
| 8.7034 | 9.5811 | 34.128 |
| 8.8762 | 9.8857 | 34.717 |
| 9.0524 | 10.199 | 35.311 |
| 9.2322 | 10.522 | 35.911 |
| 9.4154 | 10.853 | 36.516 |
| 9.6024 | 11.194 | 37.125 |
| 9.793 | 11.544 | 37.74 |
| 9.9874 | 11.904 | 38.359 |
| 10.186 | 12.273 | 38.983 |
| 10.388 | 12.652 | 39.611 |
| 10.594 | 13.041 | 40.244 |
| 10.804 | 13.439 | 40.881 |
| 11.019 | 13.848 | 41.522 |
| 11.238 | 14.266 | 42.167 |
| 11.461 | 14.694 | 42.816 |
| 11.688 | 15.133 | 43.469 |
| 11.92 | 15.582 | 44.125 |
| 12.157 | 16.04 | 44.785 |
| 12.398 | 16.51 | 45.448 |
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
- —
Fit of experimental data from several sources to Brendel-Bormann (BB) model