Optical constants

Refractive index of MoSe₂ (Molybdenum diselenide)

Hsu et al. 2019: monolayer (1L) film; n,k 0.40–0.86 µm

Data: tabulated nk
Range: 0.397–0.857 µm
Points: 2001
Licence: CC0-1.0

Axis Log x Log y

Click the plot to set the calculator wavelength.

At one wavelength

Refractive index n: 5.42157
Extinction coefficient k: 1.09729

Permittivity ε₁: 28.1894
Permittivity ε₂: 11.8981

Absorption coefficient α: 234666 cm⁻¹
Penetration depth δ = λ/(2πk): 85.2275 nm

Abbe number V_d: —
Chromatic dispersion dn/dλ: -6.95652 µm⁻¹

Group index n_g: 9.50923
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

# MoSe2 (Molybdenum diselenide): Hsu et al. 2019: monolayer (1L) film; n,k 0.40–0.86 µm
mose2 = ls.fetch_refractiveindex("main", "MoSe2", "Hsu-1L", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(mose2.range_nm)  # (396.97, 856.98) nm
eps = mose2.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_018e463ca4d7/lightsmith"
mose2 = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(mose2.source)  # citation and provenance travel with the data

Any dataset here, as the library's Tabulated material (mose2/hsu-2019-1l).

# ... load mose2 as above, then:
sim = ls.Simulation(
    particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=mose2)],
    medium_index=1.0,
    wavelengths=ls.WavelengthRange(start_nm=400, stop_nm=856, 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

Monolayer (1-layer, 1L)

Conditions

film thickness: 1L

References

C. Hsu, R. Frisenda, R. Schmidt, A. Arora, S. M. de Vasconcellos, R. Bratschitsch, H. S. J. van der Zant, A. Castellanos-Gomez. Thickness-dependent refractive index of 1L, 2L, and 3L MoS₂, MoSe₂, WS₂, and WSe₂. Adv. Optical Mater. 7, 1900239 (2019) (Numerical data kindly provided by Andres Castellanos-Gomez)

doi:10.1002/adom.201900239 Thickness‐Dependent Refractive Index of 1L, 2L, and 3L MoS 2 , MoSe 2 , WS 2 , and WSe 2, Advanced Optical Materials (2019)

Cite

Chunwei Hsu et al.. Thickness‐Dependent Refractive Index of 1L, 2L, and 3L MoS 2 , MoSe 2 , WS 2 , and WSe 2. Advanced Optical Materials, 7, 1900239 (2019), doi:10.1002/adom.201900239; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

2001 rows as published

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

MoSe2 (Molybdenum diselenide), Hsu et al. 2019: monolayer (1L) film; n,k 0.40–0.86 µm: n and k versus wavelength
λ (µm)	n	k
0.39697	3.746	1.301
0.39719	3.6958	1.3242
0.39741	3.7714	1.3238
0.39762	3.8152	1.3236
0.39784	3.8342	1.3207
0.39806	3.8463	1.32
0.39827	3.851	1.3195
0.39849	3.8534	1.32
0.39871	3.8603	1.3221
0.39893	3.8725	1.3217
0.39914	3.8783	1.3221
0.39936	3.8757	1.3234
0.39958	3.8635	1.3247
0.39979	3.8556	1.3259
0.40001	3.8413	1.3289
0.40023	3.8312	1.3327
0.40045	3.818	1.3365
0.40066	3.8048	1.3403
0.40088	3.7926	1.345
0.4011	3.7815	1.3496
0.40132	3.7683	1.3551
0.40153	3.754	1.3615
0.40175	3.7407	1.3678
0.40197	3.7275	1.3742
0.40219	3.7153	1.3814
0.4024	3.7032	1.3894
0.40262	3.691	1.3983
0.40284	3.6799	1.4072
0.40306	3.6677	1.4161
0.40327	3.6566	1.4258
0.40349	3.6455	1.4356
0.40371	3.6344	1.4453
0.40393	3.6222	1.455
0.40414	3.6079	1.4656
0.40436	3.5937	1.4762
0.40458	3.5804	1.4868
0.4048	3.5672	1.4974
0.40501	3.5529	1.5088
0.40523	3.5397	1.5202
0.40545	3.5275	1.5308
0.40567	3.5143	1.5422
0.40589	3.5021	1.5528
0.4061	3.4889	1.5642
0.40632	3.4757	1.5757
0.40654	3.4635	1.5871
0.40676	3.4513	1.5985
0.40698	3.4402	1.61
0.40719	3.4302	1.6222
0.40741	3.4222	1.6337
0.40763	3.4132	1.6459
0.40785	3.4042	1.6582
0.40806	3.3952	1.6705
0.40828	3.3884	1.6819
0.4085	3.3794	1.6942
0.40872	3.3714	1.7065
0.40893	3.3646	1.7187
0.40915	3.3587	1.731
0.40937	3.3529	1.7424
0.40959	3.3471	1.7547
0.40981	3.3423	1.7661
0.41002	3.3376	1.7784
0.41024	3.3328	1.7907
0.41046	3.328	1.803
0.41068	3.3233	1.8152
0.4109	3.3196	1.8275
0.41111	3.3148	1.8398
0.41133	3.3111	1.8521
0.41155	3.3074	1.8643
0.41177	3.3048	1.8766
0.41199	3.3021	1.8889
0.41221	3.2995	1.9003
0.41242	3.2958	1.9126
0.41264	3.2921	1.9257
0.41286	3.2894	1.938
0.41308	3.2847	1.9511
0.4133	3.281	1.9642
0.41352	3.2762	1.9774
0.41373	3.2725	1.9896
0.41395	3.2688	2.0028
0.41417	3.2651	2.015
0.41439	3.2624	2.0273
0.41461	3.2598	2.0396
0.41482	3.2571	2.0519
0.41504	3.2545	2.0633
0.41526	3.2519	2.0756
0.41548	3.2492	2.0878
0.4157	3.2476	2.0993
0.41592	3.2471	2.1098
0.41613	3.2466	2.1204
0.41635	3.2481	2.1302
0.41657	3.2487	2.1391
0.41679	3.2503	2.1479
0.41701	3.2508	2.1568
0.41723	3.2524	2.1649
0.41745	3.254	2.1738
0.41766	3.2556	2.1826
0.41788	3.2582	2.1907
0.4181	3.2598	2.1987
0.41832	3.2624	2.2068
0.41854	3.264	2.214
0.41876	3.2667	2.2212
0.41898	3.2683	2.2292
0.41919	3.2698	2.2364
0.41941	3.2714	2.2436
0.41963	3.272	2.2516
0.41985	3.2725	2.2597
0.42007	3.273	2.2677
0.42029	3.2746	2.2758
0.42051	3.2762	2.2838
0.42072	3.2778	2.2919
0.42094	3.2794	2.2999
0.42116	3.2799	2.3079
0.42138	3.2815	2.316
0.4216	3.2831	2.324
0.42182	3.2857	2.3321
0.42204	3.2873	2.3401
0.42226	3.2899	2.3473
0.42247	3.2926	2.3553
0.42269	3.2942	2.3642
0.42291	3.2968	2.3723
0.42313	3.3005	2.3803
0.42335	3.3042	2.3884
0.42357	3.3069	2.3964
0.42379	3.3095	2.4044
0.42401	3.3132	2.4116
0.42423	3.3169	2.4188
0.42444	3.3206	2.426
0.42466	3.3243	2.4332
0.42488	3.328	2.4404
0.4251	3.3317	2.4476
0.42532	3.3365	2.4548
0.42554	3.3413	2.462
0.42576	3.346	2.4692
0.42598	3.3519	2.4756
0.4262	3.3577	2.4819
0.42642	3.3635	2.4883
0.42663	3.3683	2.4955
0.42685	3.3741	2.5018
0.42707	3.3799	2.5082
0.42729	3.3857	2.5145
0.42751	3.3915	2.5209
0.42773	3.3984	2.5272
0.42795	3.4053	2.5335
0.42817	3.4122	2.5399
0.42839	3.418	2.5462
0.42861	3.4238	2.5526
0.42883	3.4296	2.5589
0.42905	3.4354	2.5653
0.42926	3.4413	2.5716
0.42948	3.4471	2.578
0.4297	3.4529	2.5843
0.42992	3.4598	2.5898
0.43014	3.4667	2.5962
0.43036	3.4735	2.6025
0.43058	3.4804	2.6089
0.4308	3.4873	2.6152
0.43102	3.4942	2.6216
0.43124	3.5011	2.6271
0.43146	3.5079	2.6326
0.43168	3.5159	2.6381
0.4319	3.5238	2.6436
0.43212	3.5317	2.6491
0.43234	3.5397	2.6546
0.43256	3.5476	2.6601
0.43278	3.5556	2.6656
0.433	3.5635	2.6711
0.43322	3.5714	2.6766
0.43343	3.5804	2.6821
0.43365	3.5894	2.6876
0.43387	3.5984	2.6923
0.43409	3.6074	2.6969
0.43431	3.6164	2.7016
0.43453	3.6254	2.7071
0.43475	3.6344	2.7126
0.43497	3.6434	2.7181
0.43519	3.6524	2.7236
0.43541	3.6614	2.7291
0.43563	3.6704	2.7346
0.43585	3.6804	2.7393
0.43607	3.6905	2.7439
0.43629	3.7005	2.7486
0.43651	3.7106	2.7532
0.43673	3.7196	2.7579
0.43695	3.7286	2.7625
0.43717	3.7376	2.768
0.43739	3.7466	2.7727
0.43761	3.7556	2.7774
0.43783	3.7646	2.782
0.43805	3.7735	2.7867
0.43827	3.7836	2.7905
0.43849	3.7937	2.7943
0.43871	3.8037	2.7981
0.43893	3.8138	2.8019
0.43915	3.8228	2.8066
0.43937	3.8317	2.8104
0.43959	3.8407	2.8142
0.43981	3.8497	2.818
0.44003	3.8587	2.8218
0.44025	3.8688	2.8248
0.44047	3.8788	2.8277
0.44069	3.8878	2.8315
0.44091	3.8979	2.8345
0.44113	3.9079	2.8375
0.44135	3.918	2.8404
0.44157	3.927	2.8442
0.44179	3.936	2.848
0.44201	3.945	2.851
0.44223	3.954	2.854
0.44245	3.963	2.8569
0.44267	3.972	2.8607
0.44289	3.981	2.8646
0.44311	3.991	2.8675
0.44333	4.0	2.8705
0.44355	4.009	2.8734
0.44377	4.018	2.8764
0.44399	4.028	2.8794
0.44421	4.037	2.8832
0.44443	4.046	2.8861
0.44465	4.055	2.8891
0.44487	4.064	2.8921
0.44509	4.073	2.8942
0.44531	4.082	2.8971
0.44553	4.091	2.9001
0.44575	4.1	2.9031
0.44597	4.109	2.9052
0.44619	4.119	2.9073
0.44641	4.128	2.9094
0.44663	4.1381	2.9115
0.44685	4.1471	2.9145
0.44707	4.1561	2.9175
0.44729	4.1651	2.9196
0.44751	4.1741	2.9217
0.44774	4.1831	2.9247
0.44796	4.1921	2.9276
0.44818	4.2011	2.9297
0.4484	4.2101	2.9327
0.44862	4.219	2.9357
0.44884	4.228	2.9378
0.44906	4.237	2.9399
0.44928	4.246	2.9429
0.4495	4.254	2.945
0.44972	4.2619	2.9479
0.44994	4.2709	2.9501
0.45016	4.2788	2.9522
0.45038	4.2868	2.9543
0.4506	4.2958	2.9564
0.45082	4.3048	2.9585
0.45104	4.3138	2.9606
0.45127	4.3228	2.9619
0.45149	4.3317	2.964
0.45171	4.3407	2.9661
0.45193	4.3497	2.9674
0.45215	4.3587	2.9695
0.45237	4.3677	2.9716
0.45259	4.3767	2.9729
0.45281	4.3857	2.975
0.45303	4.3947	2.9771
0.45325	4.4026	2.9793
0.45347	4.4116	2.9814
0.45369	4.4206	2.9835
0.45391	4.4286	2.9856
0.45414	4.4365	2.9877
0.45436	4.4444	2.989
0.45458	4.4534	2.9911
0.4548	4.4624	2.9932
0.45502	4.4714	2.9945
0.45524	4.4804	2.9966
0.45546	4.4894	2.9979
0.45568	4.4984	2.9992
0.4559	4.5074	3.0013
0.45612	4.5164	3.0025
0.45635	4.5254	3.0038
0.45657	4.5344	3.0051
0.45679	4.5434	3.0064
0.45701	4.5524	3.0076
0.45723	4.5614	3.0089
0.45745	4.5704	3.0102
0.45767	4.5794	3.0114
0.45789	4.5873	3.0127
0.45811	4.5952	3.014
0.45834	4.6032	3.0152
0.45856	4.6111	3.0165
0.45878	4.619	3.0178
0.459	4.627	3.0191
0.45922	4.6349	3.0203
0.45944	4.6429	3.0216
0.45966	4.6508	3.0229
0.45988	4.6598	3.0241
0.4601	4.6677	3.0254
0.46033	4.6767	3.0258
0.46055	4.6847	3.0271
0.46077	4.6937	3.0275
0.46099	4.7016	3.0288
0.46121	4.7106	3.0292
0.46143	4.7185	3.0296
0.46165	4.7275	3.0301
0.46187	4.7354	3.0305
0.4621	4.7434	3.0309
0.46232	4.7513	3.0313
0.46254	4.7603	3.0309
0.46276	4.7693	3.0305
0.46298	4.7783	3.0301
0.4632	4.7862	3.0296
0.46342	4.7942	3.0292
0.46365	4.8011	3.0296
0.46387	4.809	3.0292
0.46409	4.8159	3.0288
0.46431	4.8238	3.0284
0.46453	4.8307	3.0279
0.46476	4.8386	3.0275
0.46498	4.8455	3.0271
0.4652	4.8534	3.0267
0.46542	4.8614	3.0262
0.46564	4.8693	3.0258
0.46586	4.8762	3.0254
0.46608	4.8831	3.025
0.46631	4.8899	3.0246
0.46653	4.8968	3.0241
0.46675	4.9048	3.0229
0.46697	4.9127	3.0216
0.46719	4.9206	3.0203
0.46741	4.9286	3.0199
0.46764	4.9365	3.0186
0.46786	4.9444	3.0174
0.46808	4.9524	3.0161
0.4683	4.9603	3.0148
0.46852	4.9683	3.0127
0.46875	4.9762	3.0114
0.46897	4.9841	3.0093
0.46919	4.9921	3.008
0.46941	5.0	3.0068
0.46963	5.0079	3.0047
0.46986	5.0159	3.0025
0.47008	5.0238	3.0013
0.4703	5.0317	2.9992
0.47052	5.0397	2.997
0.47074	5.0466	2.9949
0.47096	5.0534	2.9928
0.47119	5.0603	2.9907
0.47141	5.0672	2.9886
0.47163	5.0741	2.9865
0.47185	5.081	2.9843
0.47208	5.0878	2.9814
0.4723	5.0947	2.9793
0.47252	5.1016	2.9763
0.47274	5.1085	2.9733
0.47296	5.1153	2.9704
0.47318	5.1222	2.9683
0.47341	5.128	2.9653
0.47363	5.1339	2.9623
0.47385	5.1397	2.9594
0.47407	5.1466	2.9564
0.4743	5.1534	2.9534
0.47452	5.1603	2.9505
0.47474	5.1672	2.9467
0.47496	5.1741	2.9429
0.47518	5.1799	2.9399
0.47541	5.1857	2.9369
0.47563	5.1915	2.9331
0.47585	5.1974	2.9293
0.47607	5.2032	2.9255
0.47629	5.209	2.9225
0.47652	5.2148	2.9187
0.47674	5.2217	2.9149
0.47696	5.2275	2.9111
0.47719	5.2333	2.9073
0.47741	5.2392	2.9035
0.47763	5.245	2.8997
0.47785	5.2508	2.8959
0.47807	5.2566	2.8921
0.4783	5.2624	2.8883
0.47852	5.2683	2.8844
0.47874	5.2741	2.8806
0.47896	5.2799	2.8768
0.47919	5.2857	2.873
0.47941	5.2915	2.8692
0.47963	5.2974	2.8646
0.47985	5.3021	2.8599
0.48008	5.3069	2.8561
0.4803	5.3127	2.8523
0.48052	5.3185	2.8485
0.48074	5.3243	2.8438
0.48097	5.3291	2.8392
0.48119	5.3339	2.8345
0.48141	5.3386	2.8298
0.48163	5.3434	2.8252
0.48186	5.3481	2.8205
0.48208	5.3529	2.8159
0.4823	5.3577	2.8112
0.48253	5.3624	2.8066
0.48275	5.3661	2.8019
0.48297	5.3698	2.7973
0.48319	5.3746	2.7926
0.48342	5.3794	2.7871
0.48364	5.3841	2.7816
0.48386	5.3878	2.7761
0.48408	5.3915	2.7706
0.48431	5.3963	2.7659
0.48453	5.4	2.7613
0.48475	5.4037	2.7566
0.48498	5.4074	2.752
0.4852	5.4122	2.7465
0.48542	5.4159	2.741
0.48564	5.4196	2.7355
0.48587	5.4233	2.73
0.48609	5.427	2.7244
0.48631	5.4307	2.7189
0.48654	5.4344	2.7134
0.48676	5.4381	2.7079
0.48698	5.4407	2.7024
0.4872	5.4444	2.6969
0.48743	5.4481	2.6914
0.48765	5.4519	2.6851
0.48787	5.4556	2.6796
0.4881	5.4593	2.6741
0.48832	5.463	2.6686
0.48854	5.4656	2.6631
0.48877	5.4693	2.6576
0.48899	5.473	2.6521
0.48921	5.4757	2.6466
0.48944	5.4794	2.6411
0.48966	5.4831	2.6356
0.48988	5.4857	2.6301
0.49011	5.4884	2.6246
0.49033	5.4921	2.6191
0.49055	5.4958	2.6135
0.49077	5.4984	2.608
0.491	5.5011	2.6025
0.49122	5.5048	2.5962
0.49144	5.5074	2.5907
0.49167	5.5101	2.5852
0.49189	5.5127	2.5797
0.49211	5.5153	2.5742
0.49234	5.518	2.5687
0.49256	5.5206	2.5632
0.49278	5.5233	2.5577
0.49301	5.5259	2.5522
0.49323	5.5286	2.5467
0.49345	5.5312	2.5412
0.49368	5.5328	2.5357
0.4939	5.5344	2.5302
0.49412	5.537	2.5247
0.49435	5.5386	2.5192
0.49457	5.5402	2.5137
0.49479	5.5429	2.5073
0.49502	5.5444	2.5018
0.49524	5.5471	2.4963
0.49546	5.5487	2.4908
0.49569	5.5503	2.4853
0.49591	5.5529	2.4798
0.49613	5.5545	2.4743
0.49636	5.5561	2.4688
0.49658	5.5577	2.4633
0.4968	5.5593	2.4578
0.49703	5.5619	2.4523
0.49725	5.5635	2.4468
0.49747	5.5651	2.4413
0.4977	5.5667	2.4358
0.49792	5.5683	2.4303
0.49815	5.5688	2.4248
0.49837	5.5704	2.4193
0.49859	5.572	2.4138
0.49882	5.5735	2.4083
0.49904	5.5751	2.4028
0.49927	5.5757	2.3973
0.49949	5.5772	2.3918
0.49971	5.5788	2.3862
0.49994	5.5804	2.3807
0.50016	5.582	2.3752
0.50038	5.5825	2.3697
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0.50083	5.5847	2.3596
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0.50128	5.5878	2.3503
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0.50173	5.591	2.3401
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0.50217	5.5931	2.3291
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0.50262	5.5952	2.3181
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0.50307	5.5963	2.3088
0.50329	5.5968	2.3041
0.50352	5.5974	2.2995
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0.50396	5.5995	2.2902
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0.50486	5.6026	2.2698
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0.50598	5.6063	2.2466
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0.50777	5.6127	2.2068
0.508	5.6132	2.2013
0.50822	5.6148	2.1966
0.50845	5.6153	2.192
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0.52823	5.609	1.8584
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0.52869	5.6079	1.8516
0.52891	5.6074	1.8487
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0.52959	5.6069	1.8389
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0.53004	5.6069	1.833
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0.53184	5.6037	1.8093
0.53207	5.6032	1.8064
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0.53252	5.6021	1.8004
0.53274	5.6016	1.7975
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0.5332	5.6005	1.7915
0.53342	5.6	1.7886
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0.56378	5.6	1.3374
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0.56697	5.5862	1.2891
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0.5738	5.5418	1.2011
0.57403	5.5402	1.1989
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0.577	5.5143	1.1697
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0.593	5.3831	1.0707
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0.607	5.3169	1.0178
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0.60791	5.3127	1.0161
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0.60837	5.3095	1.0152
0.6086	5.309	1.014
0.60883	5.3085	1.0127
0.60906	5.3079	1.0114
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0.85119	4.8476	0.0
0.85144	4.8471	0.0
0.85168	4.8466	0.0
0.85192	4.846	0.0
0.85216	4.8455	0.0
0.8524	4.846	0.0
0.85264	4.8466	0.0
0.85288	4.8481	0.0
0.85312	4.8487	0.0
0.85336	4.8471	0.0
0.8536	4.8455	0.0
0.85384	4.8439	0.0
0.85408	4.8413	0.0
0.85432	4.8386	0.0
0.85457	4.8349	0.0
0.85481	4.8302	0.0
0.85505	4.8275	0.0
0.85529	4.8228	0.0
0.85553	4.818	0.0
0.85577	4.8122	0.0
0.85601	4.8053	0.0
0.85625	4.8016	0.0
0.85649	4.7968	0.0
0.85673	4.791	0.0

Showing 2,000 of 2001 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: —

MoSe₂ (Molybdenum diselenide): all datasets

Bulk

2D structures

Multilayer flakes

About MoSe2 (Molybdenum diselenide)

Molybdenum diselenide (MoSe₂) is a layered compound similar in structure to molybdenum disulfide (MoS₂). Each layer consists of a plane of molybdenum atoms sandwiched between two planes of selenium atoms. These layers are held together by weak van der Waals forces, allowing them to be easily exfoliated. In its bulk form, MoSe₂ behaves as an indirect bandgap semiconductor. However, when reduced to a monolayer, its properties shift, and it becomes a direct bandgap semiconductor. This transition in electronic properties has attracted considerable interest in the fields of optoelectronics and nanotechnology. Potential applications include use in transistors, photodetectors, and other electronic or optoelectronic devices, especially when high-quality thin films or single layers are employed.

More about MoSe2 (Molybdenum diselenide) →

Provenance

Version: 1 (snapshot c5c2f18)
Source page: refractiveindex.info
Original file: database/data/main/MoSe2/nk/Hsu-1L.yml
ID: ds_018e463ca4d7
API: /v1/datasets/ds_018e463ca4d7

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