Optical constants
Refractive index of Pt (Platinum)
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
- 0.462602
- Extinction coefficient k
- 5.57464
- Permittivity ε1
- -30.8627
- Permittivity ε2
- 5.15768
- Absorption coefficient α
- 1.19219e+06 cm⁻¹
- Penetration depth δ = λ/(2πk)
- 16.7759 nm
- Abbe number Vd
- —
- Chromatic dispersion dn/dλ
- -0.0464576 µm⁻¹
- Group index ng
- 0.4899
- 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: n,k 0.0176–2.48 µm
pt = ls.fetch_refractiveindex("main", "Pt", "Werner", 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_8fdc0d60c2fe/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).
# ... 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 | 0.8718 | 0.1182 |
| 0.017712 | 0.8709 | 0.12 |
| 0.017839 | 0.8699 | 0.1213 |
| 0.017969 | 0.8695 | 0.1225 |
| 0.0181 | 0.8685 | 0.1238 |
| 0.018233 | 0.8675 | 0.1251 |
| 0.018368 | 0.8661 | 0.127 |
| 0.018505 | 0.8651 | 0.1283 |
| 0.018644 | 0.8636 | 0.1297 |
| 0.018785 | 0.8621 | 0.1311 |
| 0.018929 | 0.8606 | 0.1325 |
| 0.019074 | 0.8591 | 0.1344 |
| 0.019222 | 0.857 | 0.1359 |
| 0.019373 | 0.855 | 0.138 |
| 0.019525 | 0.8523 | 0.1396 |
| 0.01968 | 0.8503 | 0.1417 |
| 0.019837 | 0.8473 | 0.1446 |
| 0.019997 | 0.8441 | 0.1469 |
| 0.02016 | 0.8411 | 0.1498 |
| 0.020325 | 0.8376 | 0.1534 |
| 0.020493 | 0.8341 | 0.1571 |
| 0.020664 | 0.8302 | 0.162 |
| 0.020838 | 0.8258 | 0.1671 |
| 0.021014 | 0.8215 | 0.1729 |
| 0.021194 | 0.8171 | 0.1805 |
| 0.021377 | 0.8128 | 0.1889 |
| 0.021562 | 0.8091 | 0.199 |
| 0.021752 | 0.8061 | 0.2115 |
| 0.021944 | 0.8049 | 0.2255 |
| 0.02214 | 0.8071 | 0.2416 |
| 0.022339 | 0.813 | 0.2589 |
| 0.022543 | 0.8241 | 0.276 |
| 0.022749 | 0.8408 | 0.2896 |
| 0.02296 | 0.8623 | 0.2975 |
| 0.023175 | 0.8844 | 0.2968 |
| 0.023393 | 0.9034 | 0.2884 |
| 0.023616 | 0.915 | 0.2743 |
| 0.023843 | 0.9182 | 0.2592 |
| 0.024075 | 0.9124 | 0.246 |
| 0.024311 | 0.8974 | 0.2396 |
| 0.024551 | 0.8681 | 0.2482 |
| 0.024797 | 0.8233 | 0.3298 |
| 0.025047 | 1.0933 | 0.3787 |
| 0.025303 | 1.0283 | 0.2057 |
| 0.025564 | 0.9782 | 0.184 |
| 0.02583 | 0.9517 | 0.1781 |
| 0.026102 | 0.9333 | 0.1763 |
| 0.02638 | 0.9187 | 0.1763 |
| 0.026663 | 0.9068 | 0.177 |
| 0.026953 | 0.896 | 0.1786 |
| 0.027249 | 0.8858 | 0.1806 |
| 0.027552 | 0.8762 | 0.1837 |
| 0.027862 | 0.8677 | 0.1867 |
| 0.028178 | 0.8588 | 0.191 |
| 0.028502 | 0.8504 | 0.1952 |
| 0.028834 | 0.8427 | 0.2005 |
| 0.029173 | 0.8346 | 0.2061 |
| 0.02952 | 0.8272 | 0.2128 |
| 0.029876 | 0.82 | 0.2201 |
| 0.03024 | 0.8136 | 0.228 |
| 0.030613 | 0.8086 | 0.2362 |
| 0.030996 | 0.8044 | 0.2449 |
| 0.031388 | 0.8006 | 0.2529 |
| 0.031791 | 0.7979 | 0.2601 |
| 0.032204 | 0.7954 | 0.2659 |
| 0.032627 | 0.7913 | 0.2704 |
| 0.033062 | 0.7858 | 0.2749 |
| 0.033509 | 0.7787 | 0.28 |
| 0.033968 | 0.7698 | 0.2858 |
| 0.03444 | 0.7603 | 0.2933 |
| 0.034925 | 0.7504 | 0.3018 |
| 0.035424 | 0.7393 | 0.3124 |
| 0.035937 | 0.7283 | 0.3247 |
| 0.036466 | 0.7174 | 0.3387 |
| 0.03701 | 0.7068 | 0.3544 |
| 0.037571 | 0.6958 | 0.373 |
| 0.038149 | 0.6853 | 0.3933 |
| 0.038745 | 0.6766 | 0.4168 |
| 0.03936 | 0.6689 | 0.4432 |
| 0.039995 | 0.6642 | 0.4735 |
| 0.040651 | 0.664 | 0.5068 |
| 0.041328 | 0.6706 | 0.5428 |
| 0.042029 | 0.6866 | 0.5782 |
| 0.042753 | 0.7135 | 0.6075 |
| 0.043503 | 0.7468 | 0.6227 |
| 0.04428 | 0.777 | 0.621 |
| 0.045085 | 0.7921 | 0.6078 |
| 0.04592 | 0.7903 | 0.5947 |
| 0.046786 | 0.7764 | 0.5906 |
| 0.047686 | 0.7571 | 0.5977 |
| 0.048621 | 0.738 | 0.6145 |
| 0.049594 | 0.7206 | 0.639 |
| 0.050606 | 0.7069 | 0.6698 |
| 0.05166 | 0.6965 | 0.7057 |
| 0.052759 | 0.6903 | 0.746 |
| 0.053906 | 0.6889 | 0.7903 |
| 0.055104 | 0.6925 | 0.8382 |
| 0.056356 | 0.7025 | 0.8897 |
| 0.057667 | 0.7197 | 0.9434 |
| 0.05904 | 0.7457 | 0.999 |
| 0.06048 | 0.7829 | 1.055 |
| 0.061992 | 0.8332 | 1.1078 |
| 0.063582 | 0.8981 | 1.1518 |
| 0.065255 | 0.9756 | 1.1793 |
| 0.067018 | 1.0582 | 1.1827 |
| 0.06888 | 1.132 | 1.1586 |
| 0.070848 | 1.1831 | 1.1153 |
| 0.072932 | 1.2052 | 1.0675 |
| 0.075142 | 1.2027 | 1.0293 |
| 0.07749 | 1.1851 | 1.0087 |
| 0.07999 | 1.1619 | 1.0065 |
| 0.082656 | 1.1398 | 1.0208 |
| 0.085506 | 1.1224 | 1.0478 |
| 0.08856 | 1.1124 | 1.0842 |
| 0.09184 | 1.11 | 1.1275 |
| 0.095372 | 1.1157 | 1.1751 |
| 0.099187 | 1.1288 | 1.2252 |
| 0.10332 | 1.149 | 1.2764 |
| 0.107812 | 1.1754 | 1.328 |
| 0.112713 | 1.2072 | 1.3792 |
| 0.11808 | 1.2427 | 1.4315 |
| 0.123984 | 1.2857 | 1.4953 |
| 0.13051 | 1.371 | 1.5237 |
| 0.13776 | 1.4624 | 1.5785 |
| 0.145864 | 1.4746 | 1.5004 |
| 0.15498 | 1.4658 | 1.522 |
| 0.165312 | 1.459 | 1.5459 |
| 0.17712 | 1.433 | 1.5768 |
| 0.190745 | 1.3774 | 1.6288 |
| 0.20664 | 1.2876 | 1.7257 |
| 0.225426 | 1.1748 | 1.9066 |
| 0.247968 | 1.1058 | 2.2174 |
| 0.261019 | 1.1449 | 2.3998 |
| 0.27552 | 1.2192 | 2.5123 |
| 0.291728 | 1.1883 | 2.6012 |
| 0.30996 | 1.1505 | 2.8379 |
| 0.330625 | 1.304 | 3.1046 |
| 0.354241 | 1.5367 | 3.0624 |
| 0.38149 | 1.2882 | 2.908 |
| 0.413281 | 0.8675 | 3.2129 |
| 0.450852 | 0.6273 | 3.7605 |
| 0.495937 | 0.5124 | 4.3965 |
| 0.551041 | 0.4643 | 5.121 |
| 0.619921 | 0.4611 | 5.9757 |
| 0.708481 | 0.5013 | 7.0273 |
| 0.826561 | 0.5979 | 8.3824 |
| 0.991874 | 0.787 | 10.2266 |
| 1.239842 | 1.1594 | 12.9215 |
| 1.653123 | 1.9756 | 17.2802 |
| 2.479684 | 4.2255 | 25.5617 |
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.