Axis Log x Log y

Click the plot to set the calculator wavelength.

At one wavelength

Refractive index n: 4.34698
Extinction coefficient k: 1.0955

Permittivity ε₁: 17.6961
Permittivity ε₂: 9.52421

Absorption coefficient α: 234282 cm⁻¹
Penetration depth δ = λ/(2πk): 85.3671 nm

Abbe number V_d: —
Chromatic dispersion dn/dλ: -13.223 µm⁻¹

Group index n_g: 12.1168
Group velocity dispersion: — fs²/mm

Dispersion parameter D: — ps/(nm·km)
Photon energy: 2.11001 eV

ε = (n + ik)², α = 4πk/λ, n_g = 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): Jung et al. 2019: monolayer (1L) film; n,k 0.38–0.89 µm
mos2 = ls.fetch_refractiveindex("main", "MoS2", "Jung", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(mos2.range_nm)  # (381.3, 893.41) 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_8aecfa429ac8/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/jung-2019).

# ... 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=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"]).

Materials guide Open a sphere of it in Studio Quick start Ask the community

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

CVD-grown monolayer; Room temperature

Conditions

film thickness: 1L
substrate: Al2O3

References

G.-H. Jung, S. Yoo, Q.-H. Park. Measuring the optical permittivity of two-dimensional materials without a priori knowledge of electronic transitions. Nanophotonics 8, 263-270 (2019) - see Supplementary materials

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

188 rows as published

CSV comma separated TXT tab separated YAML n, k Full database record original YAML All quantities CSV JSON metadata

MoS2 (Molybdenum disulfide), Jung et al. 2019: monolayer (1L) film; n,k 0.38–0.89 µm: n and k versus wavelength
λ (µm)	n	k
0.3813	2.63041	2.96812
0.38247	2.64552	3.10081
0.38365	2.65414	3.15469
0.38484	2.65146	3.31463
0.38603	2.68557	3.22995
0.38724	2.77103	3.30205
0.38844	2.80787	3.34128
0.38966	2.82238	3.41937
0.39089	2.8338	3.44788
0.39212	2.88466	3.46888
0.39336	2.97825	3.45903
0.39461	3.04347	3.47905
0.39586	3.0769	3.55054
0.39712	3.11502	3.53123
0.3984	3.1683	3.5914
0.39968	3.21005	3.5863
0.40097	3.26404	3.63358
0.40226	3.32916	3.60926
0.40357	3.38094	3.62799
0.40488	3.43894	3.66536
0.4062	3.49118	3.68232
0.40753	3.55869	3.65513
0.40887	3.58398	3.67601
0.41022	3.64601	3.69823
0.41158	3.70868	3.69989
0.41294	3.77045	3.6946
0.41432	3.7914	3.72662
0.4157	3.88455	3.70441
0.4171	3.93837	3.75326
0.4185	4.01118	3.73666
0.41991	4.07946	3.73076
0.42134	4.10504	3.76799
0.42277	4.20759	3.76125
0.42421	4.27876	3.75198
0.42566	4.38361	3.73376
0.42712	4.46606	3.75065
0.4286	4.52671	3.73125
0.43008	4.61393	3.70725
0.43157	4.74222	3.6564
0.43307	4.78761	3.62757
0.43459	4.91475	3.57208
0.43611	4.99492	3.51814
0.43764	5.0382	3.46509
0.43919	5.13722	3.36702
0.44074	5.20124	3.32479
0.44231	5.25214	3.23803
0.44389	5.30647	3.15672
0.44548	5.34507	3.06143
0.44708	5.38378	2.99948
0.44869	5.4192	2.8955
0.45032	5.44568	2.82467
0.45195	5.48055	2.73193
0.4536	5.47746	2.65227
0.45526	5.48925	2.57811
0.45693	5.49204	2.50385
0.45862	5.49564	2.41832
0.46032	5.50634	2.34415
0.46203	5.48596	2.28553
0.46375	5.47976	2.21399
0.46548	5.47395	2.15206
0.46723	5.45773	2.08797
0.46899	5.43892	2.0249
0.47077	5.43579	1.98125
0.47256	5.41825	1.92299
0.47436	5.39184	1.86349
0.47617	5.37452	1.82871
0.478	5.35579	1.77953
0.47985	5.33204	1.71738
0.48171	5.29353	1.68705
0.48358	5.286	1.65296
0.48547	5.24936	1.62116
0.48737	5.2493	1.56303
0.48929	5.22037	1.52861
0.49122	5.19964	1.50156
0.49317	5.17467	1.46848
0.49513	5.16368	1.4324
0.49711	5.14354	1.42985
0.4991	5.13009	1.38535
0.50111	5.081	1.3878
0.50314	5.06437	1.36127
0.50518	5.05738	1.32937
0.50724	5.01914	1.30359
0.50932	5.00028	1.28043
0.51141	4.9942	1.27063
0.51352	4.96855	1.24878
0.51565	4.95836	1.23544
0.5178	4.93075	1.2381
0.51996	4.91879	1.21039
0.52215	4.89604	1.20338
0.52435	4.88363	1.17781
0.52657	4.86298	1.15752
0.52881	4.85265	1.15175
0.53106	4.83314	1.13615
0.53334	4.81023	1.12717
0.53564	4.79218	1.11882
0.53795	4.78187	1.10224
0.54029	4.75038	1.10635
0.54265	4.75442	1.08517
0.54502	4.73685	1.06128
0.54742	4.71309	1.06644
0.54984	4.69555	1.0604
0.55228	4.68019	1.06309
0.55475	4.6622	1.04702
0.55723	4.64504	1.02244
0.55974	4.61171	1.03058
0.56227	4.58957	1.02246
0.56482	4.57715	1.00809
0.5674	4.55736	1.02476
0.57	4.53819	1.0099
0.57262	4.51	1.0287
0.57527	4.49367	1.0163
0.57794	4.45169	1.02647
0.58064	4.4173	1.03257
0.58336	4.39379	1.02964
0.58611	4.36668	1.07989
0.58889	4.32992	1.10901
0.59169	4.30904	1.14262
0.59452	4.27928	1.23959
0.59737	4.27224	1.29672
0.60025	4.28454	1.38032
0.60317	4.33705	1.49465
0.6061	4.40472	1.56986
0.60907	4.52007	1.66138
0.61207	4.65956	1.6674
0.6151	4.82447	1.66078
0.61815	4.93685	1.56832
0.62124	5.02674	1.4584
0.62436	5.08431	1.32349
0.62751	5.06923	1.19626
0.63069	5.04147	1.1091
0.6339	4.9827	1.04172
0.63715	4.93061	1.00988
0.64043	4.84435	0.98413
0.64374	4.77704	1.02225
0.64709	4.72234	1.058
0.65047	4.69772	1.16675
0.65389	4.73353	1.3021
0.65735	4.86297	1.43733
0.66084	5.08824	1.51717
0.66437	5.37603	1.43856
0.66794	5.59421	1.22376
0.67155	5.65956	0.91619
0.67519	5.6141	0.6972
0.67887	5.50595	0.50708
0.6826	5.39313	0.4144
0.68637	5.28787	0.33794
0.69017	5.18832	0.30979
0.69403	5.12329	0.28629
0.69792	5.06783	0.26463
0.70186	5.0088	0.22867
0.70584	4.95581	0.23714
0.70987	4.91381	0.22656
0.71394	4.87357	0.20392
0.71806	4.84428	0.21157
0.72223	4.80865	0.19188
0.72645	4.78425	0.19019
0.73072	4.75523	0.20795
0.73503	4.72253	0.18106
0.73941	4.70582	0.1948
0.74383	4.68008	0.18551
0.7483	4.65792	0.17752
0.75283	4.63129	0.19074
0.75741	4.61125	0.17705
0.76205	4.60213	0.16422
0.76675	4.57638	0.17035
0.77151	4.55447	0.16404
0.77632	4.54087	0.16151
0.78119	4.52887	0.15445
0.78613	4.51487	0.15321
0.79113	4.49533	0.17371
0.79619	4.48384	0.13939
0.80132	4.46901	0.14497
0.80652	4.46009	0.13648
0.81179	4.44773	0.09389
0.81712	4.43142	0.12692
0.82252	4.4188	0.15386
0.828	4.39755	0.13986
0.83354	4.40194	0.11548
0.83917	4.39741	0.10955
0.84487	4.36944	0.12072
0.85065	4.3627	0.14227
0.8565	4.33722	0.11958
0.86244	4.35467	0.09488
0.86846	4.34224	0.11198
0.87456	4.31379	0.12065
0.88076	4.30008	0.10768
0.88704	4.31259	0.08579
0.89341	4.29492	0.10516

Optical transmission calculator

Free-standing sample in vacuum, normal incidence

Transmittance T: —
Reflectance R: —

Fresnel reflection calculator

R_p: —
R_s: —
R = (R_p+R_s)/2: —
Phase φ_p: —
Phase φ_s: —
Brewster angle θ_B: —
Critical angle θ_C: —

Plot