Optical constants

Refractive index of Rh (Rhodium)

Windt et al. 1988: n,k 0.0024–0.122 µm

Data: tabulated nk
Range: 0.00236–0.1216 µm
Points: 36
Licence: CC0-1.0

Axis Log x Log y

Click the plot to set the calculator wavelength.

At one wavelength

Refractive index n: 0.805883
Extinction coefficient k: 0.136389

Permittivity ε₁: 0.630845
Permittivity ε₂: 0.219828

Absorption coefficient α: 1.01415e+06 cm⁻¹
Penetration depth δ = λ/(2πk): 19.7209 nm

Abbe number V_d: —
Chromatic dispersion dn/dλ: -24.5125 µm⁻¹

Group index n_g: 1.22014
Group velocity dispersion: — fs²/mm

Dispersion parameter D: — ps/(nm·km)
Photon energy: 73.3634 eV

ε = (n + ik)², α = 4πk/λ, n_g = 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): Windt et al. 1988: n,k 0.0024–0.122 µm
rh = ls.fetch_refractiveindex("main", "Rh", "Windt", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(rh.range_nm)  # (2.36, 121.57) nm
eps = rh.eps([16.9])  # 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_11bbd6a9969e/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/windt-1988).

# ... 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=3, stop_nm=121, 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"]).

Materials guide Open a sphere of it in Studio Quick start Ask the community

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

D. L. Windt, W. C. Cash, M. Scott, P. Arendt, B. Newnam, R. F. Fisher, A. B. Swartzlander. Optical constants for thin films of Ti, Zr, Nb, Mo, Ru, Rh, Pd, Ag, Hf, Ta, W, Re, Ir, Os, Pt, and Au from 24 Å to 1216 Å. Appl. Opt. 27, 246-278 (1988)

doi:10.1364/ao.27.000246 Optical constants for thin films of Ti, Zr, Nb, Mo, Ru, Rh, Pd, Ag, Hf, Ta, W, Re, Ir, Os, Pt, and Au from 24 Å to 1216 Å, Applied Optics (1988)

Cite

David L. Windt et al.. Optical constants for thin films of Ti, Zr, Nb, Mo, Ru, Rh, Pd, Ag, Hf, Ta, W, Re, Ir, Os, Pt, and Au from 24 Å to 1216 Å. Applied Optics, 27, 246 (1988), doi:10.1364/ao.27.000246; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

36 rows as published

CSV comma separated TXT tab separated YAML n, k Full database record original YAML All quantities CSV JSON metadata

Rh (Rhodium), Windt et al. 1988: n,k 0.0024–0.122 µm: n and k versus wavelength
λ (µm)	n	k
0.00236	0.99612	0.00386
0.00316	0.99615	0.00385
0.00447	0.99339	0.00219
0.00676	0.9814	0.00391
0.0114	0.9325	0.00482
0.01355	0.888	0.0162
0.01714	0.8	0.145
0.0243	0.9105	0.274
0.02563	0.9212	0.278
0.03038	0.821	0.202
0.0327	0.778	0.252
0.03568	0.73	0.298
0.03793	0.717	0.407
0.04059	0.75	0.525
0.04478	0.753	0.584
0.04607	0.757	0.638
0.04895	0.818	0.753
0.05391	0.896	0.839
0.05843	1.03	0.977
0.06163	1.11	0.972
0.06714	1.03	0.895
0.07185	1.23	0.866
0.07359	1.22	0.814
0.07437	1.3	0.833
0.08345	1.41	0.821
0.0878	1.25	0.836
0.09198	1.33	0.799
0.09321	1.18	0.779
0.09888	1.29	0.763
0.10258	1.39	0.719
0.10482	1.32	0.715
0.10667	1.27	0.725
0.10857	1.22	0.684
0.1135	1.35	0.664
0.12007	1.27	0.644
0.12157	1.14	0.582

Optical transmission calculator

Free-standing sample in vacuum, normal incidence

Transmittance T: —
Reflectance R: —

Fresnel reflection calculator

R_p: —
R_s: —
R = (R_p+R_s)/2: —
Phase φ_p: —
Phase φ_s: —
Brewster angle θ_B: —
Critical angle θ_C: —

Rh (Rhodium): all datasets

About Rh (Rhodium)

Rhodium (Rh) is a rare, silvery-white, hard metal that is part of the platinum group metals (PGMs). With its impressive resistance to corrosion and oxidation, rhodium is often used as a catalyst in the chemical industry, especially in automotive catalytic converters to reduce harmful emissions. Additionally, due to its high reflectance, rhodium finds use in mirrors and searchlights. The metal is also employed in jewelry, typically as plating for white gold and silver, given its ability to impart a bright and durable finish. In electronics, rhodium is used in electrical contacts because of its low electrical resistance and exceptional wear resistance. Owing to its scarcity and the complex process of mining, rhodium is usually more expensive than gold or platinum.

More about Rh (Rhodium) →

Provenance

Version: 1 (snapshot c5c2f18)
Source page: refractiveindex.info
Original file: database/data/main/Rh/nk/Windt.yml
ID: ds_11bbd6a9969e
API: /v1/datasets/ds_11bbd6a9969e

Plot