Optical constants

Refractive index of Re (Rhenium)

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

Data: tabulated nk
Range: 0.00236–0.1216 µm
Points: 35
Licence: CC0-1.0

Axis Log x Log y

Click the plot to set the calculator wavelength.

At one wavelength

Refractive index n: 0.931002
Extinction coefficient k: 0.0789479

Permittivity ε₁: 0.860532
Permittivity ε₂: 0.147001

Absorption coefficient α: 587035 cm⁻¹
Penetration depth δ = λ/(2πk): 34.0695 nm

Abbe number V_d: —
Chromatic dispersion dn/dλ: -4.86512 µm⁻¹

Group index n_g: 1.01322
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

# Re (Rhenium): Windt et al. 1988: n,k 0.0024–0.122 µm
re = ls.fetch_refractiveindex("main", "Re", "Windt", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(re.range_nm)  # (2.36, 121.57) nm
eps = re.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_ce025f5ede66/lightsmith"
re = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(re.source)  # citation and provenance travel with the data

Any dataset here, as the library's Tabulated material (re/windt-1988).

# ... load re as above, then:
sim = ls.Simulation(
    particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=re)],
    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

35 rows as published

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

Re (Rhenium), Windt et al. 1988: n,k 0.0024–0.122 µm: n and k versus wavelength
λ (µm)	n	k
0.00236	0.9972	0.00262
0.00316	0.99772	0.00358
0.00447	0.99431	0.00715
0.00676	0.9883	0.00912
0.0114	0.9664	0.0247
0.01355	0.9473	0.0246
0.0243	0.895	0.199
0.02563	0.881	0.181
0.03038	0.918	0.188
0.0327	0.861	0.147
0.03568	0.803	0.175
0.03793	0.766	0.204
0.04059	0.73	0.234
0.04478	0.687	0.336
0.04607	0.663	0.405
0.04895	0.702	0.521
0.05391	0.786	0.723
0.05843	0.779	0.783
0.06163	0.874	0.866
0.06714	1.023	0.969
0.07185	1.067	0.937
0.07359	1.071	0.954
0.07437	1.051	0.92
0.08345	1.102	0.853
0.0878	1.125	0.838
0.09198	1.148	0.888
0.09321	1.103	0.881
0.09888	1.221	0.91
0.10258	1.274	0.918
0.10482	1.196	0.946
0.10667	1.259	0.958
0.10857	1.2	0.905
0.1135	1.33	0.933
0.12007	1.23	0.901
0.12157	1.33	0.922

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: —

Re (Rhenium): all datasets

Windt et al. 1988: n,k 0.0024–0.122 µm n,k 0.00236–0.1216 µm default

About Re (Rhenium)

Rhenium (Re) is a silvery-white, heavy transition metal with an atomic number of 75 in the periodic table. It is found in small amounts in certain minerals like columbite and molybdenite, from which commercial rhenium is extracted as a by-product of molybdenum refinement. With one of the highest melting points among all elements, rhenium retains its strength at high temperatures, making it valuable for applications in jet engines and other high-temperature environments. Its alloys, especially with molybdenum, have excellent resistance to wear and can withstand extreme temperatures without softening. Rhenium is also used as a catalyst in certain chemical reactions, notably in the production of high-octane gasoline. Additionally, it finds applications in electrical contacts and filaments due to its high melting point and good wear resistance.

More about Re (Rhenium) →

Provenance

Version: 1 (snapshot c5c2f18)
Source page: refractiveindex.info
Original file: database/data/main/Re/nk/Windt.yml
ID: ds_ce025f5ede66
API: /v1/datasets/ds_ce025f5ede66

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