Optical constants
Refractive index of MoS2 (Molybdenum disulfide)
Zotev et al. 2023: n,k(o) 0.36–1.0 µm
- Data
- tabulated nk
- Range
- 0.36–1 µm
- Points
- 402
- Optical axis
- o
- Licence
- CC0-1.0
Uniaxial crystal, axes: oe
Plot
Click the plot to set the calculator wavelength.
At one wavelength
- Refractive index n
- 4.49475
- Extinction coefficient k
- 1.3315
- Permittivity ε1
- 18.4299
- Permittivity ε2
- 11.9695
- Absorption coefficient α
- 284754 cm⁻¹
- Penetration depth δ = λ/(2πk)
- 70.2362 nm
- Abbe number Vd
- —
- Chromatic dispersion dn/dλ
- 1.875 µm⁻¹
- Group index ng
- 3.393
- 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): Zotev et al. 2023: n,k(o) 0.36–1.0 µm
mos2 = ls.fetch_refractiveindex("main", "MoS2", "Zotev-o", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(mos2.range_nm) # (360, 1000) nm
eps = mos2.eps([633]) # 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_35d1bd1b761a/lightsmith"
mos2 = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(mos2.source) # citation and provenance travel with the data
Any dataset here, as the library's Tabulated material (mos2/zotev-2023-o).
# ... 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 wavelength
Same 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
- direction
- o
References
- doi:10.1002/lpor.202200957 Van der Waals Materials for Applications in Nanophotonics, Laser & Photonics Reviews (2023)
Cite
Panaiot G. Zotev et al.. Van der Waals Materials for Applications in Nanophotonics. Laser & Photonics Reviews, 17, 2200957 (2023), doi:10.1002/lpor.202200957; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)
Data
402 rows as published| λ (µm) | n | k |
|---|---|---|
| 0.36 | 2.413 | 2.89 |
| 0.3616 | 2.445 | 2.902 |
| 0.3632 | 2.476 | 2.914 |
| 0.3648 | 2.509 | 2.925 |
| 0.3664 | 2.541 | 2.935 |
| 0.368 | 2.574 | 2.944 |
| 0.3696 | 2.607 | 2.954 |
| 0.3712 | 2.64 | 2.962 |
| 0.3728 | 2.673 | 2.969 |
| 0.3744 | 2.706 | 2.976 |
| 0.376 | 2.739 | 2.982 |
| 0.3776 | 2.773 | 2.987 |
| 0.3792 | 2.806 | 2.992 |
| 0.3808 | 2.839 | 2.996 |
| 0.3824 | 2.872 | 2.999 |
| 0.384 | 2.905 | 3.001 |
| 0.3856 | 2.937 | 3.003 |
| 0.3872 | 2.97 | 3.004 |
| 0.3888 | 3.002 | 3.005 |
| 0.3904 | 3.034 | 3.004 |
| 0.392 | 3.065 | 3.003 |
| 0.3936 | 3.097 | 3.002 |
| 0.3952 | 3.128 | 3.0 |
| 0.3968 | 3.158 | 2.997 |
| 0.3984 | 3.188 | 2.994 |
| 0.4 | 3.218 | 2.99 |
| 0.4016 | 3.247 | 2.986 |
| 0.4032 | 3.275 | 2.982 |
| 0.4048 | 3.303 | 2.977 |
| 0.4064 | 3.331 | 2.972 |
| 0.408 | 3.358 | 2.967 |
| 0.4096 | 3.384 | 2.961 |
| 0.4112 | 3.41 | 2.955 |
| 0.4128 | 3.435 | 2.949 |
| 0.4144 | 3.459 | 2.944 |
| 0.416 | 3.483 | 2.938 |
| 0.4176 | 3.507 | 2.932 |
| 0.4192 | 3.53 | 2.927 |
| 0.4208 | 3.552 | 2.921 |
| 0.4224 | 3.574 | 2.917 |
| 0.424 | 3.595 | 2.912 |
| 0.4256 | 3.617 | 2.908 |
| 0.4272 | 3.637 | 2.904 |
| 0.4288 | 3.658 | 2.901 |
| 0.4304 | 3.678 | 2.899 |
| 0.432 | 3.699 | 2.897 |
| 0.4336 | 3.719 | 2.897 |
| 0.4352 | 3.74 | 2.896 |
| 0.4368 | 3.76 | 2.897 |
| 0.4384 | 3.782 | 2.899 |
| 0.44 | 3.804 | 2.901 |
| 0.4416 | 3.826 | 2.904 |
| 0.4432 | 3.849 | 2.909 |
| 0.4448 | 3.875 | 2.913 |
| 0.4464 | 3.9 | 2.919 |
| 0.448 | 3.927 | 2.925 |
| 0.4496 | 3.957 | 2.932 |
| 0.4512 | 3.988 | 2.938 |
| 0.4528 | 4.02 | 2.946 |
| 0.4544 | 4.055 | 2.953 |
| 0.456 | 4.093 | 2.959 |
| 0.4576 | 4.133 | 2.965 |
| 0.4592 | 4.175 | 2.97 |
| 0.4608 | 4.221 | 2.973 |
| 0.4624 | 4.269 | 2.974 |
| 0.464 | 4.319 | 2.973 |
| 0.4656 | 4.371 | 2.969 |
| 0.4672 | 4.426 | 2.961 |
| 0.4688 | 4.482 | 2.95 |
| 0.4704 | 4.539 | 2.936 |
| 0.472 | 4.597 | 2.917 |
| 0.4736 | 4.656 | 2.893 |
| 0.4752 | 4.714 | 2.864 |
| 0.4768 | 4.77 | 2.831 |
| 0.4784 | 4.825 | 2.793 |
| 0.48 | 4.878 | 2.751 |
| 0.4816 | 4.928 | 2.705 |
| 0.4832 | 4.974 | 2.655 |
| 0.4848 | 5.016 | 2.602 |
| 0.4864 | 5.054 | 2.547 |
| 0.488 | 5.088 | 2.489 |
| 0.4896 | 5.117 | 2.43 |
| 0.4912 | 5.141 | 2.371 |
| 0.4928 | 5.161 | 2.311 |
| 0.4944 | 5.178 | 2.251 |
| 0.496 | 5.189 | 2.192 |
| 0.4976 | 5.197 | 2.135 |
| 0.4992 | 5.201 | 2.078 |
| 0.5008 | 5.202 | 2.023 |
| 0.5024 | 5.201 | 1.97 |
| 0.504 | 5.196 | 1.919 |
| 0.5056 | 5.189 | 1.87 |
| 0.5072 | 5.181 | 1.823 |
| 0.5088 | 5.171 | 1.779 |
| 0.5104 | 5.159 | 1.736 |
| 0.512 | 5.145 | 1.695 |
| 0.5136 | 5.131 | 1.657 |
| 0.5152 | 5.116 | 1.621 |
| 0.5168 | 5.1 | 1.586 |
| 0.5184 | 5.084 | 1.553 |
| 0.52 | 5.066 | 1.523 |
| 0.5216 | 5.049 | 1.494 |
| 0.5232 | 5.031 | 1.466 |
| 0.5248 | 5.013 | 1.441 |
| 0.5264 | 4.995 | 1.416 |
| 0.528 | 4.977 | 1.394 |
| 0.5296 | 4.958 | 1.372 |
| 0.5312 | 4.94 | 1.353 |
| 0.5321 | 4.93 | 1.342 |
| 0.5328 | 4.922 | 1.334 |
| 0.5344 | 4.904 | 1.316 |
| 0.536 | 4.886 | 1.3 |
| 0.5376 | 4.868 | 1.285 |
| 0.5392 | 4.85 | 1.271 |
| 0.5408 | 4.832 | 1.259 |
| 0.5424 | 4.815 | 1.247 |
| 0.544 | 4.798 | 1.236 |
| 0.5456 | 4.781 | 1.226 |
| 0.5472 | 4.764 | 1.218 |
| 0.5488 | 4.747 | 1.21 |
| 0.5504 | 4.731 | 1.203 |
| 0.552 | 4.715 | 1.197 |
| 0.5536 | 4.699 | 1.193 |
| 0.5552 | 4.684 | 1.189 |
| 0.5568 | 4.668 | 1.186 |
| 0.5584 | 4.653 | 1.184 |
| 0.56 | 4.639 | 1.183 |
| 0.5616 | 4.625 | 1.182 |
| 0.5632 | 4.611 | 1.183 |
| 0.5648 | 4.598 | 1.185 |
| 0.5664 | 4.585 | 1.188 |
| 0.568 | 4.572 | 1.192 |
| 0.5696 | 4.561 | 1.197 |
| 0.5712 | 4.549 | 1.203 |
| 0.5728 | 4.539 | 1.21 |
| 0.5744 | 4.529 | 1.218 |
| 0.576 | 4.521 | 1.228 |
| 0.5776 | 4.513 | 1.238 |
| 0.5792 | 4.506 | 1.25 |
| 0.5808 | 4.5 | 1.263 |
| 0.5824 | 4.496 | 1.277 |
| 0.584 | 4.493 | 1.293 |
| 0.5856 | 4.493 | 1.309 |
| 0.5872 | 4.494 | 1.327 |
| 0.5888 | 4.497 | 1.345 |
| 0.5904 | 4.503 | 1.365 |
| 0.592 | 4.511 | 1.385 |
| 0.5936 | 4.523 | 1.405 |
| 0.5952 | 4.537 | 1.426 |
| 0.5968 | 4.555 | 1.447 |
| 0.5984 | 4.578 | 1.467 |
| 0.6 | 4.603 | 1.486 |
| 0.6016 | 4.634 | 1.502 |
| 0.6032 | 4.668 | 1.516 |
| 0.6048 | 4.706 | 1.526 |
| 0.6064 | 4.748 | 1.531 |
| 0.608 | 4.79 | 1.532 |
| 0.6096 | 4.838 | 1.526 |
| 0.6112 | 4.883 | 1.513 |
| 0.6128 | 4.929 | 1.494 |
| 0.6144 | 4.973 | 1.467 |
| 0.616 | 5.013 | 1.433 |
| 0.6176 | 5.046 | 1.394 |
| 0.6192 | 5.076 | 1.35 |
| 0.6208 | 5.096 | 1.303 |
| 0.6224 | 5.113 | 1.253 |
| 0.624 | 5.116 | 1.205 |
| 0.6256 | 5.118 | 1.157 |
| 0.6272 | 5.109 | 1.112 |
| 0.6288 | 5.098 | 1.071 |
| 0.6304 | 5.079 | 1.034 |
| 0.632 | 5.059 | 1.002 |
| 0.6336 | 5.034 | 0.976 |
| 0.6352 | 5.009 | 0.955 |
| 0.6368 | 4.981 | 0.94 |
| 0.6384 | 4.954 | 0.93 |
| 0.64 | 4.927 | 0.926 |
| 0.6416 | 4.9 | 0.928 |
| 0.6432 | 4.876 | 0.935 |
| 0.6448 | 4.853 | 0.948 |
| 0.6464 | 4.833 | 0.966 |
| 0.648 | 4.818 | 0.99 |
| 0.6496 | 4.808 | 1.02 |
| 0.6512 | 4.803 | 1.055 |
| 0.6528 | 4.808 | 1.095 |
| 0.6544 | 4.821 | 1.14 |
| 0.656 | 4.847 | 1.188 |
| 0.6576 | 4.887 | 1.237 |
| 0.6592 | 4.945 | 1.28 |
| 0.6608 | 5.02 | 1.32 |
| 0.6624 | 5.112 | 1.35 |
| 0.664 | 5.22 | 1.35 |
| 0.6656 | 5.337 | 1.33 |
| 0.6672 | 5.454 | 1.27 |
| 0.6688 | 5.557 | 1.18 |
| 0.6704 | 5.639 | 1.072 |
| 0.672 | 5.69 | 0.944 |
| 0.6736 | 5.708 | 0.814 |
| 0.6752 | 5.701 | 0.689 |
| 0.6768 | 5.672 | 0.578 |
| 0.6784 | 5.629 | 0.483 |
| 0.68 | 5.578 | 0.403 |
| 0.6816 | 5.522 | 0.339 |
| 0.6832 | 5.466 | 0.287 |
| 0.6848 | 5.41 | 0.246 |
| 0.6864 | 5.358 | 0.213 |
| 0.688 | 5.308 | 0.187 |
| 0.6896 | 5.261 | 0.167 |
| 0.6912 | 5.218 | 0.151 |
| 0.6928 | 5.177 | 0.138 |
| 0.6944 | 5.14 | 0.129 |
| 0.696 | 5.105 | 0.121 |
| 0.6976 | 5.073 | 0.115 |
| 0.6992 | 5.044 | 0.111 |
| 0.7008 | 5.016 | 0.107 |
| 0.7024 | 4.991 | 0.105 |
| 0.704 | 4.967 | 0.103 |
| 0.7056 | 4.945 | 0.101 |
| 0.7072 | 4.925 | 0.1 |
| 0.7088 | 4.907 | 0.098 |
| 0.7104 | 4.889 | 0.097 |
| 0.712 | 4.872 | 0.095 |
| 0.7136 | 4.856 | 0.093 |
| 0.7152 | 4.84 | 0.092 |
| 0.7168 | 4.825 | 0.09 |
| 0.7184 | 4.811 | 0.089 |
| 0.72 | 4.798 | 0.087 |
| 0.7216 | 4.785 | 0.086 |
| 0.7232 | 4.772 | 0.084 |
| 0.7248 | 4.76 | 0.083 |
| 0.7264 | 4.748 | 0.082 |
| 0.728 | 4.736 | 0.08 |
| 0.7296 | 4.725 | 0.079 |
| 0.7312 | 4.715 | 0.077 |
| 0.7328 | 4.704 | 0.076 |
| 0.7344 | 4.694 | 0.075 |
| 0.736 | 4.684 | 0.073 |
| 0.7376 | 4.674 | 0.072 |
| 0.7392 | 4.665 | 0.071 |
| 0.7408 | 4.655 | 0.069 |
| 0.7424 | 4.646 | 0.068 |
| 0.744 | 4.638 | 0.067 |
| 0.7456 | 4.629 | 0.065 |
| 0.7472 | 4.621 | 0.064 |
| 0.7488 | 4.612 | 0.063 |
| 0.7504 | 4.604 | 0.062 |
| 0.752 | 4.596 | 0.061 |
| 0.7536 | 4.589 | 0.059 |
| 0.7552 | 4.581 | 0.058 |
| 0.7568 | 4.574 | 0.057 |
| 0.7584 | 4.566 | 0.056 |
| 0.76 | 4.559 | 0.055 |
| 0.7616 | 4.552 | 0.054 |
| 0.7632 | 4.545 | 0.053 |
| 0.7648 | 4.538 | 0.052 |
| 0.7664 | 4.531 | 0.05 |
| 0.768 | 4.525 | 0.049 |
| 0.7696 | 4.518 | 0.048 |
| 0.7712 | 4.512 | 0.047 |
| 0.7728 | 4.506 | 0.046 |
| 0.7744 | 4.499 | 0.045 |
| 0.776 | 4.493 | 0.044 |
| 0.7776 | 4.487 | 0.043 |
| 0.7792 | 4.482 | 0.043 |
| 0.7808 | 4.476 | 0.042 |
| 0.7824 | 4.47 | 0.041 |
| 0.784 | 4.464 | 0.04 |
| 0.7856 | 4.459 | 0.039 |
| 0.7872 | 4.453 | 0.038 |
| 0.7888 | 4.448 | 0.037 |
| 0.7904 | 4.442 | 0.036 |
| 0.792 | 4.437 | 0.035 |
| 0.7936 | 4.432 | 0.035 |
| 0.7952 | 4.427 | 0.034 |
| 0.7968 | 4.422 | 0.033 |
| 0.7984 | 4.417 | 0.032 |
| 0.8 | 4.412 | 0.031 |
| 0.8016 | 4.407 | 0.031 |
| 0.8032 | 4.402 | 0.03 |
| 0.8048 | 4.397 | 0.029 |
| 0.8064 | 4.392 | 0.029 |
| 0.808 | 4.388 | 0.028 |
| 0.8096 | 4.383 | 0.027 |
| 0.8112 | 4.379 | 0.026 |
| 0.8128 | 4.374 | 0.026 |
| 0.8144 | 4.37 | 0.025 |
| 0.816 | 4.365 | 0.024 |
| 0.8176 | 4.361 | 0.024 |
| 0.8192 | 4.357 | 0.023 |
| 0.8208 | 4.352 | 0.023 |
| 0.8224 | 4.348 | 0.022 |
| 0.824 | 4.344 | 0.021 |
| 0.8256 | 4.34 | 0.021 |
| 0.8272 | 4.336 | 0.02 |
| 0.8288 | 4.332 | 0.02 |
| 0.8304 | 4.328 | 0.019 |
| 0.832 | 4.324 | 0.018 |
| 0.8336 | 4.32 | 0.018 |
| 0.8352 | 4.316 | 0.017 |
| 0.8368 | 4.312 | 0.017 |
| 0.8384 | 4.308 | 0.016 |
| 0.84 | 4.305 | 0.016 |
| 0.8416 | 4.301 | 0.015 |
| 0.8432 | 4.297 | 0.015 |
| 0.8448 | 4.294 | 0.014 |
| 0.8464 | 4.29 | 0.014 |
| 0.848 | 4.287 | 0.014 |
| 0.8496 | 4.283 | 0.013 |
| 0.8512 | 4.28 | 0.013 |
| 0.8528 | 4.276 | 0.012 |
| 0.8544 | 4.273 | 0.012 |
| 0.856 | 4.269 | 0.011 |
| 0.8576 | 4.266 | 0.011 |
| 0.8592 | 4.262 | 0.011 |
| 0.8608 | 4.259 | 0.01 |
| 0.8624 | 4.256 | 0.01 |
| 0.864 | 4.253 | 0.009 |
| 0.8656 | 4.249 | 0.009 |
| 0.8672 | 4.246 | 0.009 |
| 0.8688 | 4.243 | 0.008 |
| 0.8704 | 4.24 | 0.008 |
| 0.872 | 4.237 | 0.008 |
| 0.8736 | 4.234 | 0.007 |
| 0.8752 | 4.231 | 0.007 |
| 0.8768 | 4.228 | 0.007 |
| 0.8784 | 4.225 | 0.007 |
| 0.88 | 4.222 | 0.006 |
| 0.8816 | 4.219 | 0.006 |
| 0.8832 | 4.216 | 0.006 |
| 0.8848 | 4.213 | 0.005 |
| 0.8864 | 4.21 | 0.005 |
| 0.888 | 4.207 | 0.005 |
| 0.8896 | 4.205 | 0.005 |
| 0.8912 | 4.202 | 0.004 |
| 0.8928 | 4.199 | 0.004 |
| 0.8944 | 4.196 | 0.004 |
| 0.896 | 4.194 | 0.004 |
| 0.8976 | 4.191 | 0.004 |
| 0.8992 | 4.188 | 0.003 |
| 0.9008 | 4.186 | 0.003 |
| 0.9024 | 4.183 | 0.003 |
| 0.904 | 4.18 | 0.003 |
| 0.9056 | 4.178 | 0.003 |
| 0.9072 | 4.175 | 0.002 |
| 0.9088 | 4.172 | 0.002 |
| 0.9104 | 4.17 | 0.002 |
| 0.912 | 4.167 | 0.002 |
| 0.9136 | 4.165 | 0.002 |
| 0.9152 | 4.163 | 0.002 |
| 0.9168 | 4.16 | 0.002 |
| 0.9184 | 4.158 | 0.002 |
| 0.92 | 4.156 | 0.001 |
| 0.9216 | 4.153 | 0.001 |
| 0.9232 | 4.151 | 0.001 |
| 0.9248 | 4.149 | 0.001 |
| 0.9264 | 4.146 | 0.001 |
| 0.928 | 4.144 | 0.001 |
| 0.9296 | 4.142 | 0.001 |
| 0.9312 | 4.14 | 0.001 |
| 0.9328 | 4.138 | 0.001 |
| 0.9344 | 4.135 | 0.001 |
| 0.936 | 4.133 | 0.001 |
| 0.9376 | 4.131 | 0.001 |
| 0.9392 | 4.129 | 0.0 |
| 0.9408 | 4.127 | 0.0 |
| 0.9424 | 4.125 | 0.0 |
| 0.944 | 4.123 | 0.0 |
| 0.9456 | 4.121 | 0.0 |
| 0.9472 | 4.119 | 0.0 |
| 0.9488 | 4.117 | 0.0 |
| 0.9504 | 4.114 | 0.0 |
| 0.952 | 4.112 | 0.0 |
| 0.9536 | 4.11 | 0.0 |
| 0.9552 | 4.108 | 0.0 |
| 0.9568 | 4.106 | 0.0 |
| 0.9584 | 4.104 | 0.0 |
| 0.96 | 4.102 | 0.0 |
| 0.9616 | 4.1 | 0.0 |
| 0.9632 | 4.099 | 0.0 |
| 0.9648 | 4.097 | 0.0 |
| 0.9664 | 4.095 | 0.0 |
| 0.968 | 4.093 | 0.0 |
| 0.9696 | 4.092 | 9.54e-05 |
| 0.9712 | 4.09 | 8.5e-05 |
| 0.9728 | 4.088 | 7.53e-05 |
| 0.9744 | 4.087 | 6.62e-05 |
| 0.976 | 4.085 | 5.77e-05 |
| 0.9776 | 4.083 | 4.98e-05 |
| 0.9792 | 4.081 | 4.25e-05 |
| 0.9808 | 4.08 | 3.58e-05 |
| 0.9824 | 4.078 | 2.97e-05 |
| 0.984 | 4.077 | 2.42e-05 |
| 0.9856 | 4.075 | 1.93e-05 |
| 0.9872 | 4.073 | 1.49e-05 |
| 0.9888 | 4.072 | 1.11e-05 |
| 0.9904 | 4.07 | 7.91e-06 |
| 0.992 | 4.068 | 5.24e-06 |
| 0.9936 | 4.067 | 3.13e-06 |
| 0.9952 | 4.065 | 1.56e-06 |
| 0.9968 | 4.064 | 5.34e-07 |
| 0.9984 | 4.062 | 4.61e-08 |
| 1.0 | 4.061 | 0.0 |
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
- —
Multilayer crystals. In-plane (ordinary ray, o). Room temperature.