Optical constants
Refractive index of Pd (Palladium)
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
- 0.365268
- Extinction coefficient k
- 4.75422
- Permittivity ε1
- -22.4692
- Permittivity ε2
- 3.47313
- Absorption coefficient α
- 1.01673e+06 cm⁻¹
- Penetration depth δ = λ/(2πk)
- 19.6708 nm
- Abbe number Vd
- —
- Chromatic dispersion dn/dλ
- -1.66667 µm⁻¹
- Group index ng
- 1.3446
- 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
# Pd (Palladium): Werner et al. 2009: n,k 0.0176–2.48 µm
pd = ls.fetch_refractiveindex("main", "Pd", "Werner", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(pd.range_nm) # (17.586, 2479.68) nm
eps = pd.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_bb2195d3501f/lightsmith"
pd = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(pd.source) # citation and provenance travel with the data
Any dataset here, as the library's Tabulated material (pd/werner-2009).
# ... load pd as above, then:
sim = ls.Simulation(
particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=pd)],
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 | 0.8049 | 0.0938 |
| 0.017712 | 0.803 | 0.099 |
| 0.017839 | 0.8019 | 0.1054 |
| 0.017969 | 0.8008 | 0.1111 |
| 0.0181 | 0.8005 | 0.1174 |
| 0.018233 | 0.8003 | 0.1243 |
| 0.018368 | 0.8013 | 0.1304 |
| 0.018505 | 0.8023 | 0.1365 |
| 0.018644 | 0.8044 | 0.1417 |
| 0.018785 | 0.8066 | 0.1469 |
| 0.018929 | 0.8088 | 0.1521 |
| 0.019074 | 0.812 | 0.1558 |
| 0.019222 | 0.8144 | 0.159 |
| 0.019373 | 0.8169 | 0.1622 |
| 0.019525 | 0.8191 | 0.1642 |
| 0.01968 | 0.8206 | 0.1657 |
| 0.019837 | 0.8221 | 0.1667 |
| 0.019997 | 0.8223 | 0.1678 |
| 0.02016 | 0.8219 | 0.1691 |
| 0.020325 | 0.8203 | 0.1701 |
| 0.020493 | 0.8182 | 0.1717 |
| 0.020664 | 0.8157 | 0.1741 |
| 0.020838 | 0.8126 | 0.1772 |
| 0.021014 | 0.8087 | 0.1818 |
| 0.021194 | 0.8048 | 0.1864 |
| 0.021377 | 0.8008 | 0.1929 |
| 0.021562 | 0.7965 | 0.2009 |
| 0.021752 | 0.7927 | 0.2107 |
| 0.021944 | 0.7894 | 0.2217 |
| 0.02214 | 0.7858 | 0.2354 |
| 0.022339 | 0.7806 | 0.2556 |
| 0.022543 | 0.7903 | 0.3107 |
| 0.022749 | 0.8519 | 0.277 |
| 0.02296 | 0.8407 | 0.2736 |
| 0.023175 | 0.8443 | 0.2807 |
| 0.023393 | 0.8529 | 0.2872 |
| 0.023616 | 0.8646 | 0.2909 |
| 0.023843 | 0.8769 | 0.2914 |
| 0.024075 | 0.8885 | 0.2887 |
| 0.024311 | 0.8985 | 0.2833 |
| 0.024551 | 0.906 | 0.2754 |
| 0.024797 | 0.9105 | 0.2663 |
| 0.025047 | 0.9117 | 0.2572 |
| 0.025303 | 0.9098 | 0.2484 |
| 0.025564 | 0.905 | 0.2409 |
| 0.02583 | 0.8975 | 0.2357 |
| 0.026102 | 0.8879 | 0.2331 |
| 0.02638 | 0.8769 | 0.2344 |
| 0.026663 | 0.8659 | 0.2402 |
| 0.026953 | 0.8558 | 0.2518 |
| 0.027249 | 0.8511 | 0.2691 |
| 0.027552 | 0.8561 | 0.2897 |
| 0.027862 | 0.873 | 0.3053 |
| 0.028178 | 0.8964 | 0.3074 |
| 0.028502 | 0.9135 | 0.2939 |
| 0.028834 | 0.9168 | 0.2749 |
| 0.029173 | 0.9078 | 0.2611 |
| 0.02952 | 0.8939 | 0.2551 |
| 0.029876 | 0.8796 | 0.2581 |
| 0.03024 | 0.8685 | 0.2671 |
| 0.030613 | 0.8631 | 0.281 |
| 0.030996 | 0.8643 | 0.295 |
| 0.031388 | 0.8727 | 0.3059 |
| 0.031791 | 0.8848 | 0.3097 |
| 0.032204 | 0.8957 | 0.3054 |
| 0.032627 | 0.9013 | 0.2957 |
| 0.033062 | 0.8995 | 0.2829 |
| 0.033509 | 0.8906 | 0.2723 |
| 0.033968 | 0.8764 | 0.2647 |
| 0.03444 | 0.8589 | 0.262 |
| 0.034925 | 0.8396 | 0.2644 |
| 0.035424 | 0.8192 | 0.2722 |
| 0.035937 | 0.8001 | 0.285 |
| 0.036466 | 0.7827 | 0.3028 |
| 0.03701 | 0.7686 | 0.3253 |
| 0.037571 | 0.7586 | 0.3513 |
| 0.038149 | 0.7545 | 0.3797 |
| 0.038745 | 0.7571 | 0.4088 |
| 0.03936 | 0.7665 | 0.4364 |
| 0.039995 | 0.7821 | 0.459 |
| 0.040651 | 0.8008 | 0.4746 |
| 0.041328 | 0.8204 | 0.4827 |
| 0.042029 | 0.837 | 0.4833 |
| 0.042753 | 0.8478 | 0.4783 |
| 0.043503 | 0.8507 | 0.4708 |
| 0.04428 | 0.8451 | 0.4639 |
| 0.045085 | 0.8328 | 0.4611 |
| 0.04592 | 0.8155 | 0.4648 |
| 0.046786 | 0.7953 | 0.4759 |
| 0.047686 | 0.7762 | 0.4954 |
| 0.048621 | 0.7597 | 0.5226 |
| 0.049594 | 0.7501 | 0.5546 |
| 0.050606 | 0.7475 | 0.588 |
| 0.05166 | 0.7496 | 0.6196 |
| 0.052759 | 0.7531 | 0.6474 |
| 0.053906 | 0.7534 | 0.675 |
| 0.055104 | 0.7503 | 0.7077 |
| 0.056356 | 0.7487 | 0.7487 |
| 0.057667 | 0.7543 | 0.7987 |
| 0.05904 | 0.7723 | 0.8546 |
| 0.06048 | 0.8062 | 0.9099 |
| 0.061992 | 0.856 | 0.958 |
| 0.063582 | 0.9179 | 0.9897 |
| 0.065255 | 0.9834 | 1.0001 |
| 0.067018 | 1.0399 | 0.9891 |
| 0.06888 | 1.0767 | 0.9645 |
| 0.070848 | 1.0903 | 0.9396 |
| 0.072932 | 1.0859 | 0.9264 |
| 0.075142 | 1.0723 | 0.9316 |
| 0.07749 | 1.0599 | 0.9562 |
| 0.07999 | 1.0563 | 0.9964 |
| 0.082656 | 1.0673 | 1.0465 |
| 0.085506 | 1.095 | 1.1005 |
| 0.08856 | 1.1402 | 1.1515 |
| 0.09184 | 1.2013 | 1.1933 |
| 0.095372 | 1.2743 | 1.2202 |
| 0.099187 | 1.3537 | 1.227 |
| 0.10332 | 1.4308 | 1.2109 |
| 0.107812 | 1.4966 | 1.1733 |
| 0.112713 | 1.5421 | 1.1186 |
| 0.11808 | 1.5614 | 1.0545 |
| 0.123984 | 1.5506 | 0.9906 |
| 0.13051 | 1.5098 | 0.9362 |
| 0.13776 | 1.4393 | 0.8998 |
| 0.145864 | 1.3408 | 0.892 |
| 0.15498 | 1.2178 | 0.9263 |
| 0.165312 | 1.0837 | 1.021 |
| 0.17712 | 0.971 | 1.189 |
| 0.190745 | 0.9247 | 1.4036 |
| 0.20664 | 0.9303 | 1.5942 |
| 0.225426 | 0.8983 | 1.7939 |
| 0.247968 | 0.8956 | 2.0886 |
| 0.261019 | 0.9341 | 2.2529 |
| 0.27552 | 1.0003 | 2.4118 |
| 0.291728 | 1.0885 | 2.5516 |
| 0.30996 | 1.1837 | 2.6591 |
| 0.330625 | 1.2576 | 2.7278 |
| 0.354241 | 1.2707 | 2.7709 |
| 0.38149 | 1.19 | 2.8341 |
| 0.413281 | 1.0164 | 2.9861 |
| 0.450852 | 0.7961 | 3.2843 |
| 0.495937 | 0.5886 | 3.7425 |
| 0.551041 | 0.4262 | 4.3501 |
| 0.619921 | 0.3114 | 5.1115 |
| 0.708481 | 0.2363 | 6.0649 |
| 0.826561 | 0.1937 | 7.2961 |
| 0.991874 | 0.1818 | 8.9708 |
| 1.239842 | 0.2092 | 11.4251 |
| 1.653123 | 0.3131 | 15.4435 |
| 2.479684 | 0.6551 | 23.3736 |
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.