Optical constants
Refractive index of MoS2 (Molybdenum disulfide)
Yim et al. 2014: 20-nm film; n,k 0.38–0.90 µm
- Data
- tabulated n + tabulated k
- Range
- 0.3815–0.8847 µm
- Points
- 15
- State
- crystalline
- Licence
- CC0-1.0
Plot
Click the plot to set the calculator wavelength. Note: k data cover 382.938-889.147 nm only; k = 0 elsewhere in the n range 381.514-884.671 nm.
At one wavelength
- Refractive index n
- 4.06807
- Extinction coefficient k
- 1.16015
- Permittivity ε1
- 15.2033
- Permittivity ε2
- 9.43911
- Absorption coefficient α
- 248108 cm⁻¹
- Penetration depth δ = λ/(2πk)
- 80.61 nm
- Abbe number Vd
- —
- Chromatic dispersion dn/dλ
- -2.44904 µm⁻¹
- Group index ng
- 5.50712
- 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
# MoS2 (Molybdenum disulfide): Yim et al. 2014: 20-nm film; n,k 0.38–0.90 µm
mos2 = ls.fetch_refractiveindex("main", "MoS2", "Yim-20nm", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(mos2.range_nm) # (381.514, 884.671) nm
eps = mos2.eps([633]) # complex permittivityDownloads 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_4055ec5f30ab/lightsmith"
mos2 = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(mos2.source) # citation and provenance travel with the dataAny dataset here, as the library's Tabulated material (mos2/yim-2014-20nm).
# ... load mos2 as above, then:
sim = ls.Simulation(
particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=mos2)],
medium_index=1.0,
wavelengths=ls.WavelengthRange(start_nm=400, stop_nm=884, num=81),
)
res = ls.solve(sim) # exact Mie for a sphere
print(res.q_ext) # extinction efficiency at each wavelengthSame 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
Conditions
- film thickness
- 19.88e-9
- substrate
- SiO2/Si
- k data cover 382.938-889.147 nm only; k = 0 elsewhere in the n range 381.514-884.671 nm
References
- doi:10.1063/1.4868108 Investigation of the optical properties of MoS <sub>2</sub> thin films using spectroscopic ellipsometry, Applied Physics Letters (2014)
Cite
Chanyoung Yim et al.. Investigation of the optical properties of MoS <sub>2</sub> thin films using spectroscopic ellipsometry. Applied Physics Letters, 104, 103114 (2014), doi:10.1063/1.4868108; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)
Data
Computed on 15 wavelengths, the same grid as the API and the library| λ (µm) | n | k |
|---|---|---|
| 0.381514 | 2.39671 | 0 |
| 0.405058 | 3.0524 | 3.113168 |
| 0.420636 | 3.40763 | 3.138354 |
| 0.444958 | 4.12678 | 3.079873 |
| 0.461636 | 4.64557 | 2.755816 |
| 0.476379 | 4.9188 | 2.254705 |
| 0.49361 | 4.85572 | 1.773456 |
| 0.518094 | 4.57462 | 1.297285 |
| 0.565865 | 4.1213 | 1.115269 |
| 0.598976 | 4.04021 | 1.217117 |
| 0.62965 | 4.19537 | 1.313532 |
| 0.663614 | 4.46871 | 1.213666 |
| 0.698508 | 4.50563 | 0.9574468 |
| 0.733987 | 4.43343 | 0.7679715 |
| 0.884671 | 4.17153 | 0.4350695 |
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
- —
19.88 nm film synthesized by vapor phase sulfurization. ~290 nm thick SiO2 substrate thermally grown on <100> oriented crystalline Si wafer.