Optical constants
Refractive index of WSe2 (Tungsten diselenide)
Jung et al. 2019: monolayer (1L) film; n,k 0.38–0.89 µm
- Data
- tabulated nk
- Range
- 0.3814–0.8935 µm
- Points
- 187
- Licence
- CC0-1.0
Plot
Click the plot to set the calculator wavelength.
At one wavelength
- Refractive index n
- 4.28628
- Extinction coefficient k
- 0.995298
- Permittivity ε1
- 17.3816
- Permittivity ε2
- 8.53225
- Absorption coefficient α
- 212854 cm⁻¹
- Penetration depth δ = λ/(2πk)
- 93.9612 nm
- Abbe number Vd
- —
- Chromatic dispersion dn/dλ
- -0.725632 µm⁻¹
- Group index ng
- 4.71266
- 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
# WSe2 (Tungsten diselenide): Jung et al. 2019: monolayer (1L) film; n,k 0.38–0.89 µm
wse2 = ls.fetch_refractiveindex("main", "WSe2", "Jung", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(wse2.range_nm) # (381.35, 893.52) nm
eps = wse2.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_346d5da5c5c5/lightsmith"
wse2 = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(wse2.source) # citation and provenance travel with the data
Any dataset here, as the library's Tabulated material (wse2/jung-2019).
# ... load wse2 as above, then:
sim = ls.Simulation(
particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=wse2)],
medium_index=1.0,
wavelengths=ls.WavelengthRange(start_nm=400, stop_nm=893, 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
- film thickness
- 1L
- substrate
- Al2O3
References
- doi:10.1515/nanoph-2018-0120 Measuring the optical permittivity of two‐dimensional materials without <i>a priori</i> knowledge of electronic transitions, Nanophotonics (2018)
Cite
Gwang‐Hun Jung, SeokJae Yoo and Q‐Han Park. Measuring the optical permittivity of two‐dimensional materials without <i>a priori</i> knowledge of electronic transitions. Nanophotonics, 8, 263-270 (2018), doi:10.1515/nanoph-2018-0120; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)
Data
187 rows as published| λ (µm) | n | k |
|---|---|---|
| 0.38135 | 3.08203 | 1.95659 |
| 0.38252 | 3.05476 | 2.00042 |
| 0.3837 | 3.04461 | 1.98312 |
| 0.38489 | 3.0816 | 1.97088 |
| 0.38608 | 3.06977 | 1.97912 |
| 0.38728 | 3.06446 | 1.97558 |
| 0.38849 | 3.05422 | 2.00015 |
| 0.38971 | 3.03114 | 2.02603 |
| 0.39093 | 3.01982 | 2.03767 |
| 0.39217 | 3.03715 | 2.03936 |
| 0.39341 | 3.0311 | 2.07739 |
| 0.39466 | 3.02584 | 2.105 |
| 0.39591 | 3.04488 | 2.12127 |
| 0.39718 | 3.02847 | 2.14903 |
| 0.39845 | 3.02396 | 2.19497 |
| 0.39973 | 3.0382 | 2.23131 |
| 0.40102 | 3.04432 | 2.24805 |
| 0.40231 | 3.06119 | 2.28599 |
| 0.40362 | 3.0953 | 2.30014 |
| 0.40493 | 3.10966 | 2.33721 |
| 0.40625 | 3.12732 | 2.38221 |
| 0.40759 | 3.16646 | 2.41202 |
| 0.40892 | 3.19809 | 2.44432 |
| 0.41027 | 3.24552 | 2.46555 |
| 0.41163 | 3.28427 | 2.49235 |
| 0.413 | 3.32858 | 2.51183 |
| 0.41437 | 3.37308 | 2.53643 |
| 0.41576 | 3.4367 | 2.55013 |
| 0.41715 | 3.48817 | 2.56635 |
| 0.41856 | 3.54398 | 2.58881 |
| 0.41997 | 3.61098 | 2.57392 |
| 0.42139 | 3.66755 | 2.5755 |
| 0.42282 | 3.72521 | 2.57612 |
| 0.42426 | 3.78418 | 2.56366 |
| 0.42572 | 3.85104 | 2.53135 |
| 0.42718 | 3.90481 | 2.51203 |
| 0.42865 | 3.95247 | 2.48159 |
| 0.43013 | 4.00791 | 2.44652 |
| 0.43162 | 4.0548 | 2.40644 |
| 0.43313 | 4.09729 | 2.35799 |
| 0.43464 | 4.13439 | 2.31438 |
| 0.43616 | 4.15763 | 2.2645 |
| 0.4377 | 4.1885 | 2.21584 |
| 0.43924 | 4.20651 | 2.16913 |
| 0.4408 | 4.22827 | 2.12226 |
| 0.44237 | 4.23877 | 2.06915 |
| 0.44395 | 4.24973 | 2.02249 |
| 0.44554 | 4.25473 | 1.97822 |
| 0.44714 | 4.25503 | 1.93657 |
| 0.44875 | 4.25571 | 1.89866 |
| 0.45038 | 4.24997 | 1.85711 |
| 0.45201 | 4.24874 | 1.8142 |
| 0.45366 | 4.23426 | 1.78983 |
| 0.45532 | 4.21706 | 1.75831 |
| 0.45699 | 4.21815 | 1.73244 |
| 0.45868 | 4.20146 | 1.70169 |
| 0.46037 | 4.19403 | 1.68242 |
| 0.46208 | 4.17344 | 1.65058 |
| 0.46381 | 4.15979 | 1.62902 |
| 0.46554 | 4.15394 | 1.6096 |
| 0.46729 | 4.12717 | 1.60288 |
| 0.46905 | 4.11479 | 1.58934 |
| 0.47083 | 4.1107 | 1.58046 |
| 0.47262 | 4.09613 | 1.57004 |
| 0.47442 | 4.076 | 1.56261 |
| 0.47624 | 4.05899 | 1.56054 |
| 0.47806 | 4.05143 | 1.56804 |
| 0.47991 | 4.04788 | 1.56368 |
| 0.48177 | 4.02731 | 1.57325 |
| 0.48364 | 4.02027 | 1.58352 |
| 0.48553 | 4.02168 | 1.59331 |
| 0.48743 | 4.02125 | 1.606 |
| 0.48935 | 4.01745 | 1.61585 |
| 0.49128 | 4.03198 | 1.63694 |
| 0.49323 | 4.04094 | 1.65835 |
| 0.49519 | 4.06228 | 1.66544 |
| 0.49717 | 4.08468 | 1.68833 |
| 0.49917 | 4.11682 | 1.69571 |
| 0.50118 | 4.14257 | 1.70887 |
| 0.5032 | 4.18198 | 1.71729 |
| 0.50525 | 4.22598 | 1.71128 |
| 0.50731 | 4.27028 | 1.70222 |
| 0.50938 | 4.30864 | 1.68388 |
| 0.51148 | 4.35807 | 1.6672 |
| 0.51359 | 4.39659 | 1.63332 |
| 0.51572 | 4.43226 | 1.59072 |
| 0.51787 | 4.45207 | 1.55371 |
| 0.52003 | 4.47692 | 1.51022 |
| 0.52221 | 4.49806 | 1.46551 |
| 0.52441 | 4.51115 | 1.42219 |
| 0.52663 | 4.51481 | 1.37801 |
| 0.52887 | 4.51445 | 1.3366 |
| 0.53113 | 4.51261 | 1.29567 |
| 0.53341 | 4.50561 | 1.2593 |
| 0.53571 | 4.49109 | 1.21692 |
| 0.53802 | 4.48358 | 1.18943 |
| 0.54036 | 4.47216 | 1.15865 |
| 0.54271 | 4.45636 | 1.12915 |
| 0.54509 | 4.44205 | 1.0979 |
| 0.54749 | 4.42947 | 1.08158 |
| 0.54991 | 4.41191 | 1.06851 |
| 0.55235 | 4.39548 | 1.04868 |
| 0.55482 | 4.37906 | 1.03343 |
| 0.5573 | 4.36557 | 1.01553 |
| 0.55981 | 4.35128 | 0.99841 |
| 0.56234 | 4.33363 | 0.99798 |
| 0.56489 | 4.32589 | 0.98342 |
| 0.56747 | 4.31444 | 0.98472 |
| 0.57007 | 4.30357 | 0.98398 |
| 0.5727 | 4.29195 | 0.98352 |
| 0.57534 | 4.28478 | 0.97794 |
| 0.57802 | 4.28317 | 0.9859 |
| 0.58071 | 4.2743 | 0.98171 |
| 0.58344 | 4.28153 | 0.98702 |
| 0.58619 | 4.2873 | 0.9985 |
| 0.58896 | 4.28529 | 0.99221 |
| 0.59176 | 4.30195 | 1.0059 |
| 0.59459 | 4.31992 | 1.00211 |
| 0.59745 | 4.34068 | 0.99937 |
| 0.60033 | 4.36559 | 0.99525 |
| 0.60324 | 4.3976 | 0.97048 |
| 0.60618 | 4.42932 | 0.95491 |
| 0.60915 | 4.45466 | 0.92275 |
| 0.61215 | 4.47466 | 0.87906 |
| 0.61517 | 4.48617 | 0.84201 |
| 0.61823 | 4.49223 | 0.78645 |
| 0.62132 | 4.48937 | 0.73732 |
| 0.62444 | 4.47244 | 0.70075 |
| 0.62759 | 4.45539 | 0.65622 |
| 0.63077 | 4.43227 | 0.62511 |
| 0.63398 | 4.41016 | 0.59366 |
| 0.63723 | 4.38394 | 0.56329 |
| 0.64051 | 4.35356 | 0.53999 |
| 0.64383 | 4.32744 | 0.51815 |
| 0.64717 | 4.3041 | 0.50722 |
| 0.65056 | 4.27599 | 0.48911 |
| 0.65398 | 4.2548 | 0.48618 |
| 0.65743 | 4.22903 | 0.4711 |
| 0.66093 | 4.20183 | 0.45989 |
| 0.66446 | 4.1848 | 0.45863 |
| 0.66803 | 4.16206 | 0.45607 |
| 0.67163 | 4.14002 | 0.45019 |
| 0.67528 | 4.11259 | 0.45373 |
| 0.67896 | 4.09185 | 0.45595 |
| 0.68269 | 4.07258 | 0.4552 |
| 0.68646 | 4.04984 | 0.44807 |
| 0.69026 | 4.02621 | 0.44339 |
| 0.69411 | 4.00543 | 0.46082 |
| 0.69801 | 3.97878 | 0.46708 |
| 0.70195 | 3.94793 | 0.46826 |
| 0.70593 | 3.91697 | 0.48597 |
| 0.70996 | 3.88124 | 0.50528 |
| 0.71403 | 3.84294 | 0.54132 |
| 0.71815 | 3.80324 | 0.58011 |
| 0.72233 | 3.77329 | 0.63792 |
| 0.72655 | 3.74464 | 0.72742 |
| 0.73081 | 3.72954 | 0.83518 |
| 0.73513 | 3.75063 | 0.96349 |
| 0.7395 | 3.82929 | 1.10841 |
| 0.74392 | 3.98469 | 1.24943 |
| 0.74839 | 4.2171 | 1.33105 |
| 0.75293 | 4.47517 | 1.29223 |
| 0.75751 | 4.70161 | 1.14597 |
| 0.76215 | 4.83928 | 0.93375 |
| 0.76685 | 4.88014 | 0.70732 |
| 0.7716 | 4.84328 | 0.5137 |
| 0.77642 | 4.7694 | 0.37402 |
| 0.7813 | 4.68901 | 0.26748 |
| 0.78623 | 4.60923 | 0.20749 |
| 0.79124 | 4.5419 | 0.17165 |
| 0.7963 | 4.48316 | 0.13838 |
| 0.80143 | 4.42754 | 0.12448 |
| 0.80662 | 4.38722 | 0.10985 |
| 0.81189 | 4.34895 | 0.09368 |
| 0.81722 | 4.31126 | 0.08799 |
| 0.82262 | 4.28711 | 0.07188 |
| 0.8281 | 4.25986 | 0.07014 |
| 0.83365 | 4.23261 | 0.06781 |
| 0.83927 | 4.21262 | 0.06821 |
| 0.84498 | 4.19449 | 0.04605 |
| 0.85075 | 4.17424 | 0.04992 |
| 0.85661 | 4.15347 | 0.05039 |
| 0.86255 | 4.14198 | 0.04614 |
| 0.86857 | 4.12095 | 0.04709 |
| 0.87468 | 4.1065 | 0.03073 |
| 0.88087 | 4.09239 | 0.03144 |
| 0.89352 | 4.0683 | 0.02343 |
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
- —
CVD-grown monolayer; Room temperature