Optical constants

Refractive index of MoS₂ (Molybdenum disulfide)

Ermolaev et al. 2020: bulk; n(o),k 0.290–3.30 µm

Data: tabulated nk
Range: 0.29–3.3 µm
Points: 3011
Optical axis: o
Licence: CC0-1.0

Uniaxial crystal, axes: oe

Axis Log x Log y

Click the plot to set the calculator wavelength.

At one wavelength

Refractive index n: 4.86569
Extinction coefficient k: 1.21875

Permittivity ε₁: 22.1896
Permittivity ε₂: 11.8601

Absorption coefficient α: 260641 cm⁻¹
Penetration depth δ = λ/(2πk): 76.7339 nm

Abbe number V_d: —
Chromatic dispersion dn/dλ: -0.88 µm⁻¹

Group index n_g: 5.38278
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): Ermolaev et al. 2020: bulk; n(o),k 0.290–3.30 µm
mos2 = ls.fetch_refractiveindex("main", "MoS2", "Ermolaev-o", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(mos2.range_nm)  # (290, 3300) 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_b5e71b65998e/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/ermolaev-2020-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"]).

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

Ordinary ray (o).
Optical constants of in-plane component of dielectric tensor of bulk MoS₂ measured by spectroscopic ellipsometry.

Conditions

direction: o

References

G. A. Ermolaev, Yu. V. Stebunov, A. A. Vyshnevyy, D. E. Tatarkin, D. I. Yakubovsky, S. M. Novikov, D. G. Baranov, T. Shegai, A. Y. Nikitin, A. V. Arsenin, V. S. Volkov. Broadband optical properties of monolayer and bulk MoS₂. NPJ 2D Mater. Appl., 4, 21 (2020) (Numerical data kindly provided by Georgy Ermolaev)

doi:10.1038/s41699-020-0155-x Broadband optical properties of monolayer and bulk MoS2, npj 2D Materials and Applications (2020)

Cite

Georgy A. Ermolaev et al.. Broadband optical properties of monolayer and bulk MoS2. npj 2D Materials and Applications, 4, 21 (2020), doi:10.1038/s41699-020-0155-x; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

3011 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), Ermolaev et al. 2020: bulk; n(o),k 0.290–3.30 µm: n and k versus wavelength
λ (µm)	n	k
0.29	2.9768	2.65075
0.291	2.98483	2.64028
0.292	2.99229	2.62986
0.293	2.9992	2.61952
0.294	3.00556	2.60927
0.295	3.01139	2.59913
0.296	3.01668	2.58913
0.297	3.02145	2.57928
0.298	3.02571	2.56961
0.299	3.02947	2.56013
0.3	3.03272	2.55091
0.301	3.03551	2.54186
0.302	3.03784	2.53305
0.303	3.03969	2.52455
0.304	3.04111	2.51633
0.305	3.0421	2.50833
0.306	3.04266	2.50069
0.307	3.04282	2.49337
0.308	3.04259	2.48637
0.309	3.04197	2.47976
0.31	3.04099	2.47345
0.311	3.03966	2.46756
0.312	3.03798	2.462
0.313	3.03598	2.45686
0.314	3.03369	2.45217
0.315	3.03108	2.44784
0.316	3.02818	2.44394
0.317	3.02503	2.4405
0.318	3.02163	2.4375
0.319	3.01801	2.43497
0.32	3.01413	2.43288
0.321	3.01006	2.43128
0.322	3.0058	2.43015
0.323	3.00135	2.42952
0.324	2.99673	2.42938
0.325	2.992	2.42974
0.326	2.98712	2.43062
0.327	2.98217	2.43202
0.328	2.97707	2.43395
0.329	2.97192	2.43641
0.33	2.96669	2.43941
0.331	2.96146	2.44294
0.332	2.95619	2.44702
0.333	2.9509	2.45168
0.334	2.9456	2.45692
0.335	2.94038	2.46268
0.336	2.93518	2.46905
0.337	2.9301	2.47594
0.338	2.92509	2.48343
0.339	2.92017	2.49153
0.34	2.91538	2.50025
0.341	2.91078	2.5095
0.342	2.90638	2.51928
0.343	2.90214	2.52979
0.344	2.89814	2.54083
0.345	2.89442	2.55238
0.346	2.89097	2.56457
0.347	2.88781	2.5774
0.348	2.88499	2.59074
0.349	2.88252	2.60471
0.35	2.88042	2.61932
0.351	2.87875	2.63442
0.352	2.87752	2.64999
0.353	2.87676	2.66619
0.354	2.87649	2.683
0.355	2.87676	2.70044
0.356	2.87758	2.71812
0.357	2.879	2.73658
0.358	2.88104	2.75544
0.359	2.88372	2.77468
0.36	2.8871	2.79446
0.361	2.89122	2.81479
0.362	2.89606	2.83543
0.363	2.90173	2.85657
0.364	2.90818	2.87797
0.365	2.91552	2.89981
0.366	2.9237	2.92184
0.367	2.93274	2.94402
0.368	2.94288	2.9668
0.369	2.95384	2.9894
0.37	2.96599	3.01252
0.371	2.97897	3.03536
0.372	2.99308	3.05839
0.373	3.00837	3.08154
0.374	3.02468	3.1045
0.375	3.04223	3.12747
0.376	3.06083	3.15013
0.377	3.08047	3.1724
0.378	3.1014	3.19448
0.379	3.12363	3.21628
0.38	3.14691	3.23746
0.381	3.17122	3.25797
0.382	3.19683	3.27794
0.383	3.2234	3.29706
0.384	3.25125	3.31546
0.385	3.27998	3.33283
0.386	3.30954	3.34911
0.387	3.34022	3.3644
0.388	3.37198	3.37859
0.389	3.40436	3.39143
0.39	3.43724	3.40287
0.391	3.47093	3.41296
0.392	3.50491	3.42152
0.393	3.53905	3.42854
0.394	3.57364	3.43406
0.395	3.60811	3.43798
0.396	3.64276	3.44034
0.397	3.677	3.44111
0.398	3.71113	3.44034
0.399	3.74455	3.43807
0.4	3.77713	3.43439
0.401	3.80914	3.42933
0.402	3.84006	3.42305
0.403	3.86978	3.4157
0.404	3.89858	3.40729
0.405	3.92599	3.39809
0.406	3.95232	3.38813
0.407	3.97715	3.37769
0.408	4.0005	3.36696
0.409	4.02265	3.35595
0.41	4.04334	3.34499
0.411	4.06261	3.33424
0.412	4.08079	3.32371
0.413	4.09769	3.31368
0.414	4.11365	3.30417
0.415	4.12854	3.29543
0.416	4.14251	3.28756
0.417	4.15569	3.28062
0.418	4.16841	3.27461
0.419	4.18063	3.26967
0.42	4.19267	3.26576
0.421	4.20451	3.26299
0.422	4.2163	3.26132
0.423	4.22819	3.26075
0.424	4.24049	3.26123
0.425	4.25316	3.26272
0.426	4.26652	3.2652
0.427	4.28052	3.26858
0.428	4.29523	3.27276
0.429	4.31078	3.27764
0.43	4.32747	3.2832
0.431	4.34516	3.28927
0.432	4.3642	3.29582
0.433	4.38406	3.30254
0.434	4.40538	3.30952
0.435	4.42824	3.31662
0.436	4.45196	3.32352
0.437	4.47727	3.33029
0.438	4.50422	3.33681
0.439	4.53196	3.34275
0.44	4.56132	3.34818
0.441	4.59183	3.35288
0.442	4.62344	3.35675
0.443	4.6566	3.35971
0.444	4.69075	3.36161
0.445	4.72581	3.36235
0.446	4.76227	3.36182
0.447	4.79888	3.35997
0.448	4.83732	3.3566
0.449	4.8757	3.35179
0.45	4.91512	3.34531
0.451	4.95422	3.33735
0.452	4.99479	3.32744
0.453	5.03476	3.316
0.454	5.07534	3.30263
0.455	5.11572	3.28754
0.456	5.15578	3.27072
0.457	5.19538	3.25221
0.458	5.23508	3.23169
0.459	5.27407	3.2095
0.46	5.31288	3.18528
0.461	5.35011	3.15993
0.462	5.38693	3.13263
0.463	5.42259	3.10391
0.464	5.45701	3.07385
0.465	5.49067	3.04201
0.466	5.52236	3.00956
0.467	5.55313	2.9755
0.468	5.58288	2.93985
0.469	5.61052	2.90398
0.47	5.63701	2.86672
0.471	5.66184	2.82883
0.472	5.68498	2.79041
0.473	5.70681	2.75089
0.474	5.72658	2.71176
0.475	5.74502	2.67173
0.476	5.76178	2.63159
0.477	5.77716	2.59072
0.478	5.79065	2.55067
0.479	5.80278	2.51006
0.48	5.81335	2.46971
0.481	5.82257	2.42896
0.482	5.83016	2.38936
0.483	5.83647	2.34949
0.484	5.8414	2.31017
0.485	5.84503	2.27144
0.486	5.84741	2.23335
0.487	5.84863	2.19522
0.488	5.84871	2.15783
0.489	5.8477	2.12119
0.49	5.84568	2.08535
0.491	5.84264	2.04963
0.492	5.83877	2.01542
0.493	5.83398	1.98139
0.494	5.82838	1.94823
0.495	5.82192	1.9153
0.496	5.81489	1.88388
0.497	5.80707	1.85273
0.498	5.79865	1.82246
0.499	5.78968	1.79308
0.5	5.78019	1.76457
0.501	5.77023	1.73693
0.502	5.75963	1.70961
0.503	5.7486	1.68315
0.504	5.73715	1.65755
0.505	5.72525	1.63283
0.506	5.7127	1.60893
0.507	5.70037	1.58595
0.508	5.68823	1.56414
0.509	5.67574	1.54259
0.51	5.66289	1.52132
0.511	5.65022	1.50119
0.512	5.6372	1.48134
0.513	5.62412	1.46218
0.514	5.61099	1.44369
0.515	5.59782	1.42586
0.516	5.58464	1.40867
0.517	5.57117	1.39175
0.518	5.55798	1.3758
0.519	5.54453	1.3601
0.52	5.53111	1.34499
0.521	5.51773	1.33046
0.522	5.5041	1.31619
0.523	5.49083	1.30276
0.524	5.47733	1.28959
0.525	5.4639	1.27694
0.526	5.45056	1.2648
0.527	5.4373	1.25317
0.528	5.42384	1.24177
0.529	5.41078	1.23111
0.53	5.39753	1.22067
0.531	5.38439	1.21069
0.532	5.37137	1.20117
0.533	5.35817	1.19187
0.534	5.34539	1.18322
0.535	5.33244	1.17479
0.536	5.31991	1.16696
0.537	5.30723	1.15935
0.538	5.29468	1.15214
0.539	5.28197	1.14516
0.54	5.2697	1.13872
0.541	5.25729	1.13252
0.542	5.2453	1.12682
0.543	5.23318	1.12135
0.544	5.2212	1.11625
0.545	5.20938	1.11149
0.546	5.19743	1.10698
0.547	5.18591	1.10292
0.548	5.17426	1.0991
0.549	5.16279	1.09562
0.55	5.15173	1.09256
0.551	5.1403	1.08968
0.552	5.1293	1.08719
0.553	5.11847	1.08503
0.554	5.10754	1.08315
0.555	5.09704	1.08162
0.556	5.08645	1.08038
0.557	5.07603	1.07946
0.558	5.0658	1.07886
0.559	5.05574	1.07858
0.56	5.04562	1.07862
0.561	5.03594	1.07897
0.562	5.0262	1.07965
0.563	5.01666	1.08067
0.564	5.00733	1.082
0.565	4.9982	1.08367
0.566	4.98929	1.08565
0.567	4.9806	1.08797
0.568	4.97191	1.09067
0.569	4.96347	1.09373
0.57	4.95548	1.09704
0.571	4.94754	1.10077
0.572	4.93987	1.10486
0.573	4.93248	1.10929
0.574	4.92519	1.1142
0.575	4.91839	1.11934
0.576	4.91175	1.12499
0.577	4.90561	1.13085
0.578	4.89967	1.13723
0.579	4.89411	1.14399
0.58	4.88896	1.15113
0.581	4.88411	1.15886
0.582	4.87985	1.16675
0.583	4.87607	1.17502
0.584	4.87271	1.18391
0.585	4.86992	1.19317
0.586	4.86779	1.20255
0.587	4.86622	1.21254
0.588	4.86534	1.22289
0.589	4.86519	1.23388
0.59	4.86581	1.24489
0.591	4.86727	1.25619
0.592	4.86966	1.26808
0.593	4.87303	1.2802
0.594	4.8773	1.29218
0.595	4.88276	1.30462
0.596	4.88938	1.31713
0.597	4.89745	1.33
0.598	4.90657	1.34241
0.599	4.91702	1.35462
0.6	4.92921	1.36686
0.601	4.94249	1.37831
0.602	4.95764	1.3895
0.603	4.97436	1.39989
0.604	4.99261	1.40932
0.605	5.01237	1.41758
0.606	5.03359	1.42447
0.607	5.0562	1.42976
0.608	5.08079	1.43332
0.609	5.10578	1.43472
0.61	5.13246	1.43384
0.611	5.15982	1.43037
0.612	5.18676	1.4244
0.613	5.21453	1.41545
0.614	5.24197	1.40357
0.615	5.26946	1.38827
0.616	5.29497	1.37052
0.617	5.31889	1.35003
0.618	5.34148	1.32628
0.619	5.36104	1.30098
0.62	5.37847	1.27293
0.621	5.39283	1.24327
0.622	5.40397	1.21249
0.623	5.41182	1.18106
0.624	5.41635	1.14945
0.625	5.41764	1.1181
0.626	5.41581	1.08744
0.627	5.41089	1.05691
0.628	5.40343	1.0287
0.629	5.39322	1.00131
0.63	5.38079	0.97589
0.631	5.36692	0.95327
0.632	5.35103	0.93212
0.633	5.33382	0.91327
0.634	5.3156	0.89674
0.635	5.29598	0.88211
0.636	5.27645	0.87025
0.637	5.25661	0.86065
0.638	5.236	0.85302
0.639	5.21609	0.84778
0.64	5.19574	0.84451
0.641	5.17574	0.84337
0.642	5.15624	0.84425
0.643	5.13734	0.84711
0.644	5.11917	0.85186
0.645	5.10182	0.85845
0.646	5.08539	0.86684
0.647	5.07001	0.87699
0.648	5.05528	0.88926
0.649	5.04231	0.90283
0.65	5.03033	0.91858
0.651	5.01997	0.93604
0.652	5.01162	0.95451
0.653	5.00488	0.97519
0.654	5.00026	0.99744
0.655	4.99799	1.02117
0.656	4.9983	1.0463
0.657	5.0016	1.07361
0.658	5.00795	1.10111
0.659	5.01776	1.12947
0.66	5.0318	1.15944
0.661	5.04951	1.18862
0.662	5.07237	1.21859
0.663	5.10022	1.24777
0.664	5.13326	1.27543
0.665	5.17161	1.30076
0.666	5.21526	1.32286
0.667	5.26405	1.34072
0.668	5.31758	1.35329
0.669	5.37522	1.3595
0.67	5.43605	1.35835
0.671	5.50113	1.34866
0.672	5.56445	1.33031
0.673	5.62883	1.30195
0.674	5.69002	1.2641
0.675	5.74437	1.2194
0.676	5.7943	1.1657
0.677	5.83648	1.10591
0.678	5.87007	1.04179
0.679	5.89474	0.97518
0.68	5.91061	0.9078
0.681	5.91833	0.83877
0.682	5.9182	0.77432
0.683	5.9115	0.71296
0.684	5.89874	0.65325
0.685	5.88192	0.59991
0.686	5.86075	0.54914
0.687	5.83767	0.50465
0.688	5.81176	0.46287
0.689	5.78448	0.42534
0.69	5.75642	0.3918
0.691	5.72803	0.36193
0.692	5.69968	0.33539
0.693	5.67162	0.31184
0.694	5.64406	0.29098
0.695	5.6161	0.27182
0.696	5.58994	0.25555
0.697	5.56363	0.24064
0.698	5.53916	0.22797
0.699	5.51466	0.21637
0.7	5.49197	0.20652
0.701	5.46929	0.19749
0.702	5.44752	0.18954
0.703	5.42663	0.18255
0.704	5.40659	0.17641
0.705	5.38738	0.171
0.706	5.36895	0.16625
0.707	5.35127	0.16208
0.708	5.33432	0.15842
0.709	5.31805	0.15521
0.71	5.3018	0.1523
0.711	5.28683	0.14986
0.712	5.27186	0.14765
0.713	5.25806	0.14581
0.714	5.24424	0.14415
0.715	5.23099	0.14273
0.716	5.21874	0.14156
0.717	5.20649	0.14052
0.718	5.1947	0.13964
0.719	5.18338	0.13891
0.72	5.17251	0.1383
0.721	5.1621	0.13781
0.722	5.15173	0.13731
0.723	5.14215	0.13683
0.724	5.13291	0.13635
0.725	5.12396	0.13587
0.726	5.11493	0.13536
0.727	5.10654	0.13488
0.728	5.09803	0.13438
0.729	5.08978	0.13388
0.73	5.08207	0.1334
0.731	5.07425	0.1329
0.732	5.06663	0.13241
0.733	5.0592	0.13192
0.734	5.05196	0.13142
0.735	5.04489	0.13094
0.736	5.03799	0.13045
0.737	5.03125	0.12996
0.738	5.02465	0.12948
0.739	5.01821	0.12901
0.74	5.01162	0.12851
0.741	5.00545	0.12804
0.742	4.99914	0.12755
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1.821	4.12083	0.00655
1.822	4.12071	0.00655
1.823	4.12059	0.00654
1.824	4.12047	0.00654
1.825	4.12035	0.00653
1.826	4.12023	0.00653
1.827	4.1201	0.00653
1.828	4.11998	0.00652
1.829	4.11986	0.00652
1.83	4.11974	0.00652
1.831	4.11962	0.00651
1.832	4.1195	0.00651
1.833	4.11938	0.00651
1.834	4.11926	0.0065
1.835	4.11914	0.0065
1.836	4.11903	0.00649
1.837	4.11891	0.00649
1.838	4.11879	0.00649
1.839	4.11867	0.00648
1.84	4.11855	0.00648
1.841	4.11843	0.00648
1.842	4.11832	0.00647
1.843	4.1182	0.00647
1.844	4.11808	0.00647
1.845	4.11796	0.00646
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1.85	4.11738	0.00645
1.851	4.11727	0.00644
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1.856	4.11669	0.00642
1.857	4.11658	0.00642
1.858	4.11646	0.00642
1.859	4.11635	0.00641
1.86	4.11623	0.00641
1.861	4.11612	0.00641
1.862	4.11601	0.0064
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1.865	4.11567	0.00639
1.866	4.11556	0.00639
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1.872	4.11488	0.00637
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2.288	4.08128	0.00565
2.289	4.08122	0.00564

Showing 2,000 of 3011 rows. Download the CSV for all of them.

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