At one wavelength

Refractive index n: 3.8256
Extinction coefficient k: 0.8378

Permittivity ε₁: 13.9333
Permittivity ε₂: 6.41018

Absorption coefficient α: 179171 cm⁻¹
Penetration depth δ = λ/(2πk): 111.625 nm

Abbe number V_d: —
Chromatic dispersion dn/dλ: -39 µm⁻¹

Group index n_g: 26.742
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): Zhang et al. 2015: monolayer (1L) film; n,k 0.40–0.75 µm
mos2 = ls.fetch_refractiveindex("main", "MoS2", "Zhang", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(mos2.range_nm)  # (400, 750) 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_38ff872ead0a/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/zhang-2015).

# ... 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=750, 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

Monocrystalline monolayer MoS2; Synthesized with chemical vapor deposition (CVD) method; Room temperature.

References

H. Zhang, Y. Ma, Y. Wan, X. Rong, Z. Xie, W. Wang, L. Dai. Measuring the refractive index of highly crystalline monolayer MoS₂ with high confidence. Sci. Rep. 5, 8440 (2015) (Numerical data kindly provided by Hui Zhang)

doi:10.1038/srep08440 Measuring the Refractive Index of Highly Crystalline Monolayer MoS2 with High Confidence, Scientific Reports (2015)

Cite

Hui Zhang et al.. Measuring the Refractive Index of Highly Crystalline Monolayer MoS2 with High Confidence. Scientific Reports, 5, 8440 (2015), doi:10.1038/srep08440; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

351 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), Zhang et al. 2015: monolayer (1L) film; n,k 0.40–0.75 µm: n and k versus wavelength
λ (µm)	n	k
0.4	2.226	2.3
0.401	2.295	2.23
0.402	2.402	2.263
0.403	2.303	2.427
0.404	2.443	2.168
0.405	2.476	2.264
0.406	2.44	2.369
0.407	2.65	2.277
0.408	2.556	2.393
0.409	2.657	2.314
0.41	2.619	2.37
0.411	2.662	2.362
0.412	2.616	2.439
0.413	2.752	2.391
0.414	2.807	2.318
0.415	2.81	2.374
0.416	2.983	2.365
0.417	2.919	2.313
0.418	2.981	2.455
0.419	2.975	2.349
0.42	3.014	2.393
0.421	3.138	2.296
0.422	3.179	2.288
0.423	3.174	2.277
0.424	3.284	2.237
0.425	3.248	2.291
0.426	3.357	2.201
0.427	3.341	2.233
0.428	3.426	2.095
0.429	3.479	2.065
0.43	3.404	2.119
0.431	3.655	1.829
0.432	3.51	1.91
0.433	3.754	1.731
0.434	3.646	1.727
0.435	3.714	1.706
0.436	3.911	1.618
0.437	3.712	1.793
0.438	3.839	1.775
0.439	3.929	1.56
0.44	4.167	1.498
0.441	4.099	1.537
0.442	4.142	1.486
0.443	4.174	1.548
0.444	4.284	1.389
0.445	4.296	1.399
0.446	4.4	1.241
0.447	4.323	1.42
0.448	4.39	1.32
0.449	4.351	1.355
0.45	4.257	1.321
0.451	4.369	1.265
0.452	4.353	1.299
0.453	4.437	1.258
0.454	4.386	1.261
0.455	4.474	1.093
0.456	4.561	1.17
0.457	4.579	1.129
0.458	4.429	1.129
0.459	4.42	1.225
0.46	4.549	1.218
0.461	4.627	1.014
0.462	4.449	1.106
0.463	4.457	1.194
0.464	4.407	1.177
0.465	4.54	1.047
0.466	4.458	0.958
0.467	4.489	0.928
0.468	4.461	1.056
0.469	4.513	0.947
0.47	4.532	0.902
0.471	4.492	0.979
0.472	4.423	0.988
0.473	4.397	0.938
0.474	4.536	1.015
0.475	4.418	0.819
0.476	4.475	0.903
0.477	4.429	0.869
0.478	4.446	0.884
0.479	4.505	0.962
0.48	4.46	0.834
0.481	4.51	0.95
0.482	4.489	0.828
0.483	4.5	0.832
0.484	4.415	0.774
0.485	4.494	0.864
0.486	4.45	0.83
0.487	4.597	0.873
0.488	4.422	0.876
0.489	4.553	0.882
0.49	4.556	0.911
0.491	4.398	0.768
0.492	4.553	0.833
0.493	4.643	0.865
0.494	4.506	0.823
0.495	4.617	0.88
0.496	4.657	0.893
0.497	4.644	0.882
0.498	4.533	0.846
0.499	4.705	0.864
0.5	4.763	0.897
0.501	4.704	0.895
0.502	4.67	0.858
0.503	4.69	0.834
0.504	4.694	0.804
0.505	4.654	0.866
0.506	4.78	0.894
0.507	4.703	0.795
0.508	4.508	0.773
0.509	4.598	0.793
0.51	4.644	0.769
0.511	4.752	0.747
0.512	4.72	0.786
0.513	4.679	0.745
0.514	4.706	0.798
0.515	4.495	0.737
0.516	4.728	0.75
0.517	4.543	0.75
0.518	4.624	0.721
0.519	4.544	0.713
0.52	4.503	0.708
0.521	4.585	0.727
0.522	4.621	0.711
0.523	4.505	0.652
0.524	4.559	0.709
0.525	4.532	0.666
0.526	4.493	0.652
0.527	4.536	0.649
0.528	4.373	0.599
0.529	4.492	0.647
0.53	4.454	0.639
0.531	4.468	0.639
0.532	4.408	0.629
0.533	4.405	0.597
0.534	4.355	0.6
0.535	4.367	0.594
0.536	4.39	0.574
0.537	4.322	0.566
0.538	4.36	0.542
0.539	4.331	0.564
0.54	4.238	0.541
0.541	4.28	0.551
0.542	4.321	0.582
0.543	4.266	0.555
0.544	4.256	0.603
0.545	4.271	0.556
0.546	4.271	0.585
0.547	4.085	0.578
0.548	4.199	0.584
0.549	4.123	0.53
0.55	4.141	0.517
0.551	4.224	0.517
0.552	4.08	0.588
0.553	4.128	0.566
0.554	4.063	0.58
0.555	4.066	0.54
0.556	4.114	0.582
0.557	3.984	0.576
0.558	4.016	0.576
0.559	4.072	0.515
0.56	4.036	0.604
0.561	4.011	0.564
0.562	4.059	0.61
0.563	3.973	0.562
0.564	3.969	0.552
0.565	3.991	0.592
0.566	4.044	0.515
0.567	4.004	0.566
0.568	3.985	0.615
0.569	3.939	0.573
0.57	3.999	0.646
0.571	4.009	0.614
0.572	3.966	0.597
0.573	3.91	0.618
0.574	3.905	0.631
0.575	3.853	0.684
0.576	3.97	0.663
0.577	3.85	0.689
0.578	3.85	0.701
0.579	3.805	0.718
0.58	3.816	0.701
0.581	3.79	0.756
0.582	3.888	0.767
0.583	3.67	0.773
0.584	3.847	0.811
0.585	3.867	0.821
0.586	3.816	0.811
0.587	3.849	0.8
0.588	3.81	0.863
0.589	3.838	0.892
0.59	3.867	0.94
0.591	3.883	0.949
0.592	3.783	0.957
0.593	3.875	0.964
0.594	3.916	1.004
0.595	3.885	1.023
0.596	3.863	1.064
0.597	3.952	1.11
0.598	3.934	1.081
0.599	3.955	1.103
0.6	3.983	1.153
0.601	3.958	1.191
0.602	4.072	1.18
0.603	4.001	1.195
0.604	4.097	1.119
0.605	4.092	1.165
0.606	4.156	1.169
0.607	4.219	1.18
0.608	4.229	1.123
0.609	4.237	1.125
0.61	4.356	1.097
0.611	4.368	1.103
0.612	4.388	1.075
0.613	4.431	1.013
0.614	4.429	0.994
0.615	4.435	0.969
0.616	4.44	0.911
0.617	4.426	0.936
0.618	4.443	0.898
0.619	4.456	0.861
0.62	4.432	0.874
0.621	4.407	0.84
0.622	4.359	0.834
0.623	4.43	0.804
0.624	4.411	0.781
0.625	4.398	0.707
0.626	4.452	0.755
0.627	4.477	0.694
0.628	4.368	0.705
0.629	4.437	0.722
0.63	4.371	0.666
0.631	4.355	0.695
0.632	4.362	0.687
0.633	4.247	0.756
0.634	4.256	0.72
0.635	4.31	0.75
0.636	4.349	0.714
0.637	4.296	0.75
0.638	4.296	0.777
0.639	4.275	0.795
0.64	4.28	0.77
0.641	4.14	0.82
0.642	4.183	0.881
0.643	4.304	0.887
0.644	4.202	0.917
0.645	4.275	0.936
0.646	4.293	0.953
0.647	4.371	0.985
0.648	4.33	0.968
0.649	4.396	0.941
0.65	4.32	0.981
0.651	4.488	1.006
0.652	4.456	0.997
0.653	4.504	0.98
0.654	4.507	0.995
0.655	4.594	0.957
0.656	4.634	0.912
0.657	4.732	0.885
0.658	4.728	0.839
0.659	4.792	0.799
0.66	4.799	0.754
0.661	4.818	0.707
0.662	4.808	0.655
0.663	4.781	0.604
0.664	4.74	0.57
0.665	4.821	0.47
0.666	4.791	0.462
0.667	4.75	0.412
0.668	4.841	0.365
0.669	4.757	0.359
0.67	4.698	0.329
0.671	4.627	0.308
0.672	4.747	0.315
0.673	4.619	0.277
0.674	4.543	0.266
0.675	4.544	0.238
0.676	4.409	0.242
0.677	4.456	0.261
0.678	4.455	0.186
0.679	4.36	0.226
0.68	4.354	0.264
0.681	4.379	0.183
0.682	4.286	0.203
0.683	4.201	0.171
0.684	4.282	0.136
0.685	4.3	0.222
0.686	4.141	0.232
0.687	4.27	0.167
0.688	4.097	0.138
0.689	4.014	0.131
0.69	4.129	0.147
0.691	4.09	0.126
0.692	3.999	0.104
0.693	4.097	0.134
0.694	4.065	0.135
0.695	3.971	0.155
0.696	4.011	0.155
0.697	3.994	0.08
0.698	3.965	0.073
0.699	3.993	0.067
0.7	3.906	0.108
0.701	3.89	0.061
0.702	3.955	0.127
0.703	3.844	0.046
0.704	3.809	0.026
0.705	3.824	0.046
0.706	3.768	0.078
0.707	3.849	0.157
0.708	3.717	0.085
0.709	3.746	0.126
0.71	3.781	0.136
0.711	3.751	0.105
0.712	3.606	0.147
0.713	3.853	0.006
0.714	3.64	0.088
0.715	3.71	0.087
0.716	3.803	0.054
0.717	3.661	0.068
0.718	3.554	0.179
0.719	3.751	0.048
0.72	3.697	0.167
0.721	3.577	0.103
0.722	3.714	0.065
0.723	3.514	0.036
0.724	3.599	0.16
0.725	3.579	0.059
0.726	3.517	0.041
0.727	3.585	0.075
0.728	3.708	0.006
0.729	3.487	0.109
0.73	3.53	0.025
0.731	3.524	0.037
0.732	3.41	0.021
0.733	3.443	0.008
0.734	3.397	0.126
0.735	3.543	0.095
0.736	3.446	0.036
0.737	3.306	0.027
0.738	3.435	0.126
0.739	3.357	0.011
0.74	3.043	0.035
0.741	3.447	0.135
0.742	3.327	0.187
0.743	3.277	0.07
0.744	3.353	0.085
0.745	3.277	0.03
0.746	3.082	0.048
0.747	3.226	0.104
0.748	3.368	0.007
0.749	3.174	0.082
0.75	3.159	0.12

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