Optical constants
Refractive index of MoS2 (Molybdenum disulfide)
Yim et al. 2014: 2-nm film; n,k 0.38–0.90 µm
- Data
- tabulated n + tabulated k
- Range
- 0.3824–0.8866 µm
- Points
- 18
- State
- crystalline
- Licence
- CC0-1.0
Plot
Click the plot to set the calculator wavelength.
At one wavelength
- Refractive index n
- 2.76647
- Extinction coefficient k
- 1.48726
- Permittivity ε1
- 5.44141
- Permittivity ε2
- 8.22894
- Absorption coefficient α
- 318065 cm⁻¹
- Penetration depth δ = λ/(2πk)
- 62.8802 nm
- Abbe number Vd
- —
- Chromatic dispersion dn/dλ
- 26.6412 µm⁻¹
- Group index ng
- -12.8879
- 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: 2-nm film; n,k 0.38–0.90 µm
mos2 = ls.fetch_refractiveindex("main", "MoS2", "Yim-2nm", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(mos2.range_nm) # (382.448, 886.647) 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_bd82e090aba1/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-2014-2nm).
# ... 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=886, 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
- 1.99e-9
- substrate
- SiO2/Si
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 18 wavelengths, the same grid as the API and the library| λ (µm) | n | k |
|---|---|---|
| 0.382448 | 1.59676 | 1.500129 |
| 0.382449 | 1.58767 | 1.500158 |
| 0.393452 | 1.91549 | 1.805976 |
| 0.407106 | 2.48886 | 1.934481 |
| 0.418525 | 2.83481 | 1.755584 |
| 0.423568 | 2.93503 | 1.678899 |
| 0.444625 | 3.1995 | 1.400549 |
| 0.465239 | 3.31843 | 0.9810746 |
| 0.479315 | 3.20072 | 0.7215633 |
| 0.516095 | 2.79275 | 0.5520222 |
| 0.550838 | 2.45731 | 0.8690886 |
| 0.568685 | 2.45774 | 1.162445 |
| 0.584897 | 2.69446 | 1.459694 |
| 0.605729 | 3.24945 | 1.580257 |
| 0.625726 | 3.63166 | 1.349335 |
| 0.648841 | 3.74118 | 0.9105478 |
| 0.685993 | 3.60544 | 0.4943488 |
| 0.886647 | 2.88974 | 0.09884844 |
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
- —
1.99 nm film synthesized by vapor phase sulfurization. ~290 nm thick SiO2 substrate thermally grown on <100> oriented crystalline Si wafer.