Optical constants
Refractive index of Pd (Palladium)
Johnson and Christy 1974: n,k 0.188–1.94 µm
- Data
- tabulated nk
- Range
- 0.188–1.937 µm
- Points
- 49
- Licence
- CC0-1.0
Plot
Click the plot to set the calculator wavelength.
At one wavelength
- Refractive index n
- 1.6912
- Extinction coefficient k
- 4.0504
- Permittivity ε1
- -13.5456
- Permittivity ε2
- 13.7001
- Absorption coefficient α
- 866216 cm⁻¹
- Penetration depth δ = λ/(2πk)
- 23.0889 nm
- Abbe number Vd
- —
- Chromatic dispersion dn/dλ
- 2 µm⁻¹
- Group index ng
- 0.516
- 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): Johnson and Christy 1974: n,k 0.188–1.94 µm
pd = ls.fetch_refractiveindex("main", "Pd", "Johnson", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(pd.range_nm) # (188, 1937) 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_d9979aa5e6d1/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/johnson-christy-1974).
# ... 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:10.1103/physrevb.9.5056 Optical constants of transition metals: Ti, V, Cr, Mn, Fe, Co, Ni, and Pd, Physical Review B (1974)
Cite
P. Johnson and R. Christy. Optical constants of transition metals: Ti, V, Cr, Mn, Fe, Co, Ni, and Pd. Physical Review B, 9, 5056-5070 (1974), doi:10.1103/physrevb.9.5056; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)
Data
49 rows as published| λ (µm) | n | k |
|---|---|---|
| 0.188 | 0.84 | 1.38 |
| 0.192 | 0.85 | 1.42 |
| 0.195 | 0.85 | 1.46 |
| 0.199 | 0.85 | 1.5 |
| 0.203 | 0.86 | 1.55 |
| 0.207 | 0.87 | 1.6 |
| 0.212 | 0.89 | 1.65 |
| 0.216 | 0.91 | 1.7 |
| 0.221 | 0.92 | 1.76 |
| 0.226 | 0.94 | 1.81 |
| 0.231 | 0.97 | 1.86 |
| 0.237 | 1.0 | 1.91 |
| 0.243 | 1.04 | 1.95 |
| 0.249 | 1.08 | 1.99 |
| 0.255 | 1.11 | 2.03 |
| 0.262 | 1.13 | 2.07 |
| 0.269 | 1.16 | 2.1 |
| 0.276 | 1.19 | 2.13 |
| 0.284 | 1.18 | 2.18 |
| 0.292 | 1.18 | 2.23 |
| 0.301 | 1.2 | 2.29 |
| 0.311 | 1.21 | 2.35 |
| 0.32 | 1.21 | 2.42 |
| 0.332 | 1.2 | 2.5 |
| 0.342 | 1.22 | 2.57 |
| 0.354 | 1.23 | 2.65 |
| 0.368 | 1.24 | 2.74 |
| 0.381 | 1.26 | 2.83 |
| 0.397 | 1.3 | 2.93 |
| 0.413 | 1.33 | 3.03 |
| 0.431 | 1.37 | 3.14 |
| 0.451 | 1.41 | 3.26 |
| 0.471 | 1.46 | 3.39 |
| 0.496 | 1.52 | 3.54 |
| 0.521 | 1.57 | 3.68 |
| 0.549 | 1.64 | 3.84 |
| 0.582 | 1.68 | 4.02 |
| 0.617 | 1.75 | 4.21 |
| 0.659 | 1.8 | 4.42 |
| 0.704 | 1.86 | 4.65 |
| 0.756 | 1.95 | 4.89 |
| 0.821 | 2.06 | 5.19 |
| 0.892 | 2.23 | 5.5 |
| 0.984 | 2.34 | 5.89 |
| 1.088 | 2.52 | 6.33 |
| 1.216 | 2.66 | 6.9 |
| 1.393 | 2.8 | 7.65 |
| 1.61 | 3.01 | 8.59 |
| 1.937 | 3.34 | 9.89 |
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
- —
Room temperature