Optical constants
Refractive index of MoS2 (Molybdenum disulfide)
Yim et al. 2014: 3-nm film; n,k 0.38–0.90 µm
- Data
- tabulated n + tabulated k
- Range
- 0.3824–0.8881 µm
- Points
- 16
- State
- crystalline
- Licence
- CC0-1.0
Plot
Click the plot to set the calculator wavelength. Note: k data cover 382.127-887.428 nm only; k = 0 elsewhere in the n range 382.417-888.102 nm.
At one wavelength
- Refractive index n
- 3.20613
- Extinction coefficient k
- 1.42437
- Permittivity ε1
- 8.25044
- Permittivity ε2
- 9.13346
- Absorption coefficient α
- 304616 cm⁻¹
- Penetration depth δ = λ/(2πk)
- 65.6565 nm
- Abbe number Vd
- —
- Chromatic dispersion dn/dλ
- 14.6466 µm⁻¹
- Group index ng
- -5.40021
- 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: 3-nm film; n,k 0.38–0.90 µm
mos2 = ls.fetch_refractiveindex("main", "MoS2", "Yim-3nm", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(mos2.range_nm) # (382.417, 888.102) 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_a223670e19b5/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-2014-3nm).
# ... 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=888, 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
- 3.01e-9
- substrate
- SiO2/Si
- k data cover 382.127-887.428 nm only; k = 0 elsewhere in the n range 382.417-888.102 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 16 wavelengths, the same grid as the API and the library| λ (µm) | n | k |
|---|---|---|
| 0.382417 | 2.1604 | 1.897877 |
| 0.396592 | 2.51564 | 2.002342 |
| 0.416745 | 2.91656 | 1.994902 |
| 0.434018 | 3.27182 | 1.868887 |
| 0.459558 | 3.6455 | 1.423704 |
| 0.473278 | 3.60961 | 1.148081 |
| 0.492746 | 3.47388 | 0.9076364 |
| 0.523764 | 3.10205 | 0.827367 |
| 0.548934 | 2.95726 | 1.003352 |
| 0.571265 | 2.96688 | 1.267122 |
| 0.591157 | 3.25823 | 1.452823 |
| 0.606431 | 3.56764 | 1.388501 |
| 0.628912 | 3.74081 | 1.13939 |
| 0.652291 | 3.70488 | 0.9063007 |
| 0.728738 | 3.47881 | 0.6538829 |
| 0.888102 | 3.37157 | 0 |
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
- —
3.01 nm film synthesized by vapor phase sulfurization. ~290 nm thick SiO2 substrate thermally grown on <100> oriented crystalline Si wafer.