Optical constants
Refractive index of MoS2 (Molybdenum disulfide)
Beal and Huges 1979: bulk; n,k 0.081–1.24 µm
- Data
- tabulated nk
- Range
- 0.0811–1.236 µm
- Points
- 100
- Licence
- CC0-1.0
Plot
Click the plot to set the calculator wavelength.
At one wavelength
- Refractive index n
- 4.77392
- Extinction coefficient k
- 1.16374
- Permittivity ε1
- 21.4361
- Permittivity ε2
- 11.1112
- Absorption coefficient α
- 248876 cm⁻¹
- Penetration depth δ = λ/(2πk)
- 80.3615 nm
- Abbe number Vd
- —
- Chromatic dispersion dn/dλ
- -4.61538 µm⁻¹
- Group index ng
- 7.48592
- 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): Beal and Huges 1979: bulk; n,k 0.081–1.24 µm
mos2 = ls.fetch_refractiveindex("main", "MoS2", "Beal", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(mos2.range_nm) # (81.1, 1236) 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_49a54c982b68/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/beal-huges-1979).
# ... 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=1000, 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.
References
- doi:10.1088/0022-3719/12/5/017 Kramers-Kronig analysis of the reflectivity spectra of 2H-MoS <sub>2</sub> , 2H-MoSe <sub>2</sub> and 2H-MoTe <sub>2</sub>, Journal of Physics C: Solid State Physics (1979)
Cite
A R Beal and H P Hughes. Kramers-Kronig analysis of the reflectivity spectra of 2H-MoS <sub>2</sub> , 2H-MoSe <sub>2</sub> and 2H-MoTe <sub>2</sub>. Journal of Physics C: Solid State Physics, 12, 881-890 (1979), doi:10.1088/0022-3719/12/5/017; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)
Data
100 rows as published| λ (µm) | n | k |
|---|---|---|
| 0.0811 | 0.7401 | 1.164 |
| 0.09276 | 0.8365 | 1.364 |
| 0.1044 | 1.149 | 1.653 |
| 0.1161 | 1.507 | 1.555 |
| 0.1277 | 1.701 | 1.25 |
| 0.1394 | 1.207 | 1.055 |
| 0.1511 | 0.9899 | 1.52 |
| 0.1627 | 1.142 | 1.751 |
| 0.1744 | 1.268 | 1.961 |
| 0.1861 | 1.362 | 2.181 |
| 0.1977 | 1.579 | 2.401 |
| 0.2094 | 1.904 | 2.508 |
| 0.2211 | 2.053 | 2.504 |
| 0.2327 | 2.153 | 2.558 |
| 0.2444 | 2.243 | 2.618 |
| 0.256 | 2.459 | 2.741 |
| 0.2677 | 2.726 | 2.696 |
| 0.2794 | 2.965 | 2.584 |
| 0.291 | 3.068 | 2.399 |
| 0.3027 | 3.044 | 2.297 |
| 0.3144 | 2.997 | 2.251 |
| 0.326 | 2.98 | 2.246 |
| 0.3377 | 2.944 | 2.255 |
| 0.3493 | 2.872 | 2.364 |
| 0.361 | 2.887 | 2.586 |
| 0.3727 | 2.957 | 2.848 |
| 0.3843 | 3.128 | 3.077 |
| 0.396 | 3.568 | 3.126 |
| 0.4077 | 3.915 | 3.166 |
| 0.4193 | 4.12 | 3.156 |
| 0.431 | 4.311 | 3.14 |
| 0.4427 | 4.59 | 3.145 |
| 0.4543 | 4.936 | 3.108 |
| 0.466 | 5.446 | 2.847 |
| 0.4776 | 5.523 | 2.387 |
| 0.4893 | 5.647 | 1.923 |
| 0.501 | 5.621 | 1.558 |
| 0.5126 | 5.486 | 1.275 |
| 0.5243 | 5.31 | 1.181 |
| 0.536 | 5.2 | 1.149 |
| 0.5476 | 5.088 | 1.116 |
| 0.5593 | 4.973 | 1.082 |
| 0.5709 | 4.858 | 1.046 |
| 0.5826 | 4.797 | 1.121 |
| 0.5943 | 4.743 | 1.221 |
| 0.6059 | 4.887 | 1.472 |
| 0.6176 | 5.164 | 1.326 |
| 0.6293 | 5.254 | 1.13 |
| 0.6409 | 5.156 | 0.9746 |
| 0.6526 | 5.068 | 1.076 |
| 0.6643 | 5.074 | 1.257 |
| 0.6759 | 5.618 | 1.3 |
| 0.6876 | 5.878 | 0.7119 |
| 0.6992 | 5.712 | 0.4302 |
| 0.7109 | 5.431 | 0.3139 |
| 0.7226 | 5.246 | 0.1815 |
| 0.7342 | 5.109 | 0.03906 |
| 0.7459 | 5.031 | 0.0 |
| 0.7576 | 4.968 | 0.0 |
| 0.7692 | 4.904 | 0.0 |
| 0.7809 | 4.839 | 0.0 |
| 0.7925 | 4.771 | 0.0 |
| 0.8042 | 4.702 | 0.0 |
| 0.8159 | 4.651 | 0.0 |
| 0.8275 | 4.622 | 0.0 |
| 0.8392 | 4.592 | 0.0 |
| 0.8509 | 4.562 | 0.0 |
| 0.8625 | 4.532 | 0.0 |
| 0.8742 | 4.502 | 0.0 |
| 0.8859 | 4.474 | 0.0 |
| 0.8975 | 4.461 | 0.0 |
| 0.9092 | 4.447 | 0.0 |
| 0.9208 | 4.434 | 0.0 |
| 0.9325 | 4.42 | 0.0 |
| 0.9442 | 4.406 | 0.0 |
| 0.9558 | 4.393 | 0.0001266 |
| 0.9675 | 4.379 | 0.0002869 |
| 0.9792 | 4.365 | 0.0004482 |
| 0.9908 | 4.351 | 0.0006106 |
| 1.002 | 4.338 | 0.000774 |
| 1.014 | 4.324 | 0.0009384 |
| 1.026 | 4.31 | 0.001104 |
| 1.037 | 4.303 | 0.001268 |
| 1.049 | 4.299 | 0.001432 |
| 1.061 | 4.295 | 0.001597 |
| 1.072 | 4.29 | 0.001762 |
| 1.084 | 4.285 | 0.001927 |
| 1.096 | 4.281 | 0.002093 |
| 1.107 | 4.276 | 0.002259 |
| 1.119 | 4.272 | 0.002425 |
| 1.131 | 4.267 | 0.002592 |
| 1.142 | 4.263 | 0.002759 |
| 1.154 | 4.258 | 0.002926 |
| 1.166 | 4.254 | 0.003094 |
| 1.177 | 4.249 | 0.003262 |
| 1.189 | 4.245 | 0.003431 |
| 1.201 | 4.24 | 0.003599 |
| 1.212 | 4.236 | 0.003769 |
| 1.224 | 4.231 | 0.003938 |
| 1.236 | 4.227 | 0.004108 |
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
- —