Optical constants
Refractive index of Rh (Rhodium)
Weaver et al. 1977: n,k 0.20–12.40 µm
- Data
- tabulated nk
- Range
- 0.2–12.4 µm
- Points
- 67
- Licence
- CC0-1.0
Plot
Click the plot to set the calculator wavelength.
At one wavelength
- Refractive index n
- 2.04478
- Extinction coefficient k
- 5.28015
- Permittivity ε1
- -23.6989
- Permittivity ε2
- 21.5934
- Absorption coefficient α
- 1.12921e+06 cm⁻¹
- Penetration depth δ = λ/(2πk)
- 17.7115 nm
- Abbe number Vd
- —
- Chromatic dispersion dn/dλ
- 1.86567 µm⁻¹
- Group index ng
- 0.948507
- 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
# Rh (Rhodium): Weaver et al. 1977: n,k 0.20–12.40 µm
rh = ls.fetch_refractiveindex("main", "Rh", "Weaver", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(rh.range_nm) # (200, 12400) nm
eps = rh.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_ebcc6f9325e3/lightsmith"
rh = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(rh.source) # citation and provenance travel with the data
Any dataset here, as the library's Tabulated material (rh/weaver-1977).
# ... load rh as above, then:
sim = ls.Simulation(
particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=rh)],
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.
References
2) Handbook of Optical Constants of Solids, Edward D. Palik, ed. Academic Press, Boston, 1985
* Ref. 2 provides numerical values for the graphical data reported in Ref. 1
- doi:10.1103/physrevb.15.4115 Optical investigation of the electronic structure of bulk Rh and Ir, Physical Review B (1977)
Cite
J. H. Weaver, C. G. Olson and D. W. Lynch. Optical investigation of the electronic structure of bulk Rh and Ir. Physical Review B, 15, 4115-4118 (1977), doi:10.1103/physrevb.15.4115; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)
Data
67 rows as published| λ (µm) | n | k |
|---|---|---|
| 0.2 | 0.78 | 1.85 |
| 0.2066 | 0.76 | 1.93 |
| 0.2138 | 0.79 | 2.0 |
| 0.2214 | 0.9 | 2.01 |
| 0.2296 | 0.8 | 2.14 |
| 0.2384 | 0.79 | 2.23 |
| 0.248 | 0.79 | 2.34 |
| 0.253 | 0.79 | 2.39 |
| 0.2583 | 0.79 | 2.46 |
| 0.2638 | 0.79 | 2.52 |
| 0.2695 | 0.78 | 2.6 |
| 0.2755 | 0.79 | 2.68 |
| 0.2818 | 0.8 | 2.76 |
| 0.2883 | 0.83 | 2.85 |
| 0.2952 | 0.84 | 2.94 |
| 0.3024 | 0.84 | 3.03 |
| 0.31 | 0.86 | 3.12 |
| 0.3179 | 0.88 | 3.23 |
| 0.3263 | 0.91 | 3.34 |
| 0.3351 | 0.95 | 3.45 |
| 0.3444 | 0.99 | 3.58 |
| 0.3542 | 1.04 | 3.71 |
| 0.3647 | 1.11 | 3.84 |
| 0.3757 | 1.2 | 3.97 |
| 0.3875 | 1.3 | 4.09 |
| 0.4 | 1.41 | 4.2 |
| 0.4133 | 1.53 | 4.29 |
| 0.4275 | 1.63 | 4.36 |
| 0.4592 | 1.8 | 4.49 |
| 0.4769 | 1.85 | 4.55 |
| 0.4959 | 1.88 | 4.65 |
| 0.5166 | 1.9 | 4.78 |
| 0.5391 | 1.94 | 4.94 |
| 0.5636 | 2.0 | 5.11 |
| 0.5904 | 2.05 | 5.3 |
| 0.6199 | 2.12 | 5.51 |
| 0.6526 | 2.2 | 5.76 |
| 0.6888 | 2.3 | 6.02 |
| 0.7293 | 2.42 | 6.33 |
| 0.7749 | 2.6 | 6.64 |
| 0.8266 | 2.78 | 6.97 |
| 0.8856 | 3.01 | 7.31 |
| 0.9537 | 3.26 | 7.63 |
| 0.9919 | 3.38 | 7.8 |
| 1.033 | 3.51 | 7.94 |
| 1.078 | 3.6 | 8.09 |
| 1.127 | 3.67 | 8.26 |
| 1.181 | 3.72 | 8.44 |
| 1.24 | 3.71 | 8.67 |
| 1.305 | 3.69 | 8.94 |
| 1.378 | 3.62 | 9.36 |
| 1.459 | 3.64 | 9.81 |
| 1.55 | 3.63 | 10.3 |
| 1.653 | 3.63 | 11.0 |
| 1.771 | 3.67 | 11.7 |
| 1.907 | 3.77 | 12.6 |
| 2.066 | 3.87 | 13.5 |
| 2.254 | 3.97 | 14.7 |
| 2.48 | 4.2 | 16.1 |
| 2.755 | 4.45 | 17.7 |
| 3.1 | 4.74 | 19.8 |
| 3.542 | 5.22 | 22.4 |
| 4.133 | 5.85 | 25.9 |
| 4.959 | 7.01 | 30.7 |
| 6.199 | 8.66 | 37.5 |
| 8.266 | 11.5 | 48.6 |
| 12.4 | 18.5 | 69.4 |
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
- —