Optical constants

Refractive index of MoS2 (Molybdenum disulfide)

Song et al. 2019: 4-layer (4L) film; n,k 0.193–1.69 µm

Data
tabulated nk
Range
0.193–1.69 µm
Points
1084
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.193–1.69 µm
Refractive index n
3.6503
Extinction coefficient k
1.09786
Permittivity ε1
12.1194
Permittivity ε2
8.01507
Absorption coefficient α
234788 cm⁻¹
Penetration depth δ = λ/(2πk)
85.1831 nm
Abbe number Vd
—
Chromatic dispersion dn/dλ
1.915 µm⁻¹
Group index ng
2.52505
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

# MoS2 (Molybdenum disulfide): Song et al. 2019: 4-layer (4L) film; n,k 0.193–1.69 µm
mos2 = ls.fetch_refractiveindex("main", "MoS2", "Song-4L", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(mos2.range_nm)  # (193, 1690) nm
eps = mos2.eps([633])  # complex permittivity

Downloads the original record once (pinned to the imported snapshot) and caches it.

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

4-layer, 4L

Conditions

film thickness
4L
substrate
c-sapphire

References

B. Song, H. Gu, M. Fang, X. Chen, H. Jiang, R. Wang, T. Zhai, Y.-T. Ho, S. Liu. Layer-dependent dielectric function of wafer-scale 2D MoS2. Adv. Optical Mater. 7, 1801250 (2019) (Numerical data kindly provided by Baokun Song)
  • doi:10.1002/adom.201801250 Layer‐Dependent Dielectric Function of Wafer‐Scale 2D MoS <sub>2</sub>, Advanced Optical Materials (2018)

Cite

Baokun Song et al.. Layer‐Dependent Dielectric Function of Wafer‐Scale 2D MoS <sub>2</sub>. Advanced Optical Materials, 7, 1801250 (2018), doi:10.1002/adom.201801250; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

1084 rows as published
MoS2 (Molybdenum disulfide), Song et al. 2019: 4-layer (4L) film; n,k 0.193–1.69 µm: n and k versus wavelength
λ (µm)nk
0.1931.43931.620206
0.1941.4473021.631907
0.1951.455461.642944
0.1961.4637351.653362
0.1971.4720891.663202
0.1981.4804921.672505
0.1991.4889131.681306
0.21.4973271.689644
0.2011.5057111.69755
0.2021.5140451.70506
0.2031.522311.712203
0.2041.530491.71901
0.2051.5385731.725512
0.2061.5465471.731735
0.2071.5544011.737707
0.2081.5621281.743455
0.2091.5697211.749004
0.211.5771761.754378
0.2111.584491.759602
0.2121.591661.764698
0.2131.5986861.769688
0.2141.6055691.774594
0.2151.6123111.779435
0.2161.6189161.784232
0.2171.6253881.789002
0.2181.6317321.793764
0.2191.6379551.798535
0.221.6440651.803329
0.2211.650071.808163
0.2221.6559791.813049
0.2231.6618021.818001
0.2241.6675511.823032
0.2251.6732361.828151
0.2261.678871.833368
0.2271.6844651.838694
0.2281.6900351.844134
0.2291.6955941.849697
0.231.7011551.855388
0.2311.7067321.861211
0.2321.7123411.867169
0.2331.7179961.873266
0.2341.7237121.879502
0.2351.7295051.885877
0.2361.7353891.89239
0.2371.741381.89904
0.2381.7474931.905822
0.2391.7537421.912732
0.241.7601421.919765
0.2411.7667071.926914
0.2421.7734521.934172
0.2431.780391.94153
0.2441.7875341.948977
0.2451.7948961.956503
0.2461.8024881.964097
0.2471.8103221.971745
0.2481.8184081.979434
0.2491.8267551.987149
0.251.8353721.994874
0.2511.8442682.002594
0.2521.8534492.010292
0.2531.862922.01795
0.2541.8726872.025549
0.2551.8827522.033071
0.2561.8931192.040496
0.2571.9037872.047805
0.2581.9147582.054978
0.2591.9260292.061994
0.261.9375982.068832
0.2611.9494592.075472
0.2621.9616072.081894
0.2631.9740362.088076
0.2641.9867362.093999
0.2651.9996962.099643
0.2662.0129062.104987
0.2672.0263532.110014
0.2682.0400212.114703
0.2692.0538952.119039
0.272.0679582.123003
0.2712.0821912.126581
0.2722.0965752.129757
0.2732.1110882.132518
0.2742.1257082.13485
0.2752.1404122.136744
0.2762.1551772.13819
0.2772.1699762.139179
0.2782.1847852.139706
0.2792.1995782.139766
0.282.2143272.139354
0.2812.2290052.138471
0.2822.2435872.137117
0.2832.2580432.135294
0.2842.2723472.133006
0.2852.2864722.130259
0.2862.300392.12706
0.2872.3140772.12342
0.2882.3275072.119349
0.2892.3406532.114861
0.292.3534932.109969
0.2912.3660032.10469
0.2922.3781622.09904
0.2932.3899482.093039
0.2942.4013422.086705
0.2952.4123262.080061
0.2962.4228832.073129
0.2972.4329982.06593
0.2982.4426562.058488
0.2992.4518452.050828
0.32.4605542.042975
0.3012.4687742.034953
0.3022.4764962.026788
0.3032.4837152.018505
0.3042.4904252.010131
0.3052.4966242.00169
0.3062.5023071.993208
0.3072.5074761.984712
0.3082.512131.976225
0.3092.5162711.967772
0.312.5199021.959378
0.3112.5230261.951067
0.3122.525651.942862
0.3132.5277791.934786
0.3142.5294191.926861
0.3152.5305791.919109
0.3162.5312671.911551
0.3172.5314931.904208
0.3182.5312651.897099
0.3192.5305961.890244
0.322.5294961.883661
0.3212.5279771.877369
0.3222.526051.871385
0.3232.5237281.865725
0.3242.5210251.860407
0.3252.5179531.855445
0.3262.5145261.850857
0.3272.5107591.846655
0.3282.5066651.842856
0.3292.5022591.839473
0.332.4975551.836519
0.3312.492571.834009
0.3322.4873191.831954
0.3332.4818161.830368
0.3342.4760791.829263
0.3352.4701241.828651
0.3362.4639681.828545
0.3372.4576271.828955
0.3382.451121.829894
0.3392.4444631.831372
0.342.4376771.833401
0.3412.430781.835992
0.3422.4237911.839154
0.3432.416731.8429
0.3442.4096191.847239
0.3452.4024791.852181
0.3462.3953331.857737
0.3472.3882021.863915
0.3482.3811131.870725
0.3492.3740891.878176
0.352.3671571.886277
0.3512.3603441.895036
0.3522.3536791.90446
0.3532.347191.914557
0.3542.340911.925332
0.3552.334871.936791
0.3562.3291051.948939
0.3572.323651.961779
0.3582.3185421.975313
0.3592.3138211.989543
0.362.3095262.004467
0.3612.3057022.020082
0.3622.3023922.036384
0.3632.2996422.053365
0.3642.2975032.071014
0.3652.2960242.08932
0.3662.2952572.108263
0.3672.2952582.127824
0.3682.2960812.147977
0.3692.2977852.168689
0.372.3004282.189924
0.3712.3040692.211639
0.3722.3087672.233782
0.3732.314582.256295
0.3742.3215652.279109
0.3752.3297762.302148
0.3762.3392612.325325
0.3772.3500642.348541
0.3782.3622172.371691
0.3792.3757462.394656
0.382.390662.417309
0.3812.4069542.439516
0.3822.4246042.461135
0.3832.4435662.482024
0.3842.4637692.502039
0.3852.4851222.521043
0.3862.5075062.538909
0.3872.5307782.555527
0.3882.5547752.570809
0.3892.5793122.584694
0.392.6041972.597156
0.3912.6292282.608203
0.3922.654212.617883
0.3932.6789582.626281
0.3942.7033072.633515
0.3952.7271222.639732
0.3962.7502992.645102
0.3972.7727742.649807
0.3982.7945212.654036
0.3992.8155522.657969
0.42.8359142.661778
0.4012.8556842.665615
0.4022.8749632.669607
0.4032.8938692.673856
0.4042.9125332.678435
0.4052.9310882.68339
0.4062.949672.68874
0.4072.9684082.694483
0.4082.9874252.700592
0.4093.0068322.707023
0.413.0267272.71372
0.4113.0471962.720611
0.4123.068312.727618
0.4133.0901272.734655
0.4143.112692.741634
0.4153.136032.748462
0.4163.1601672.755046
0.4173.1851072.761296
0.4183.2108482.767121
0.4193.2373752.772433
0.423.2646672.777148
0.4213.2926942.781187
0.4223.3214192.784473
0.4233.3507962.786936
0.4243.3807772.78851
0.4253.4113052.789135
0.4263.442322.788756
0.4273.4737572.787326
0.4283.5055492.784801
0.4293.5376252.781147
0.433.569912.776332
0.4313.6023292.770334
0.4323.6348072.763136
0.4333.6672652.754728
0.4343.6996262.745105
0.4353.7318132.734271
0.4363.7637492.722233
0.4373.7953592.709006
0.4383.8265712.694612
0.4393.8573142.679075
0.443.887522.662427
0.4413.9171252.644704
0.4423.9460682.625947
0.4433.9742922.606201
0.4444.0017452.585515
0.4454.0283792.563938
0.4464.0541522.541528
0.4474.0790232.518338
0.4484.1029612.49443
0.4494.1259362.46986
0.454.1479242.444691
0.4514.1689082.418983
0.4524.1888732.392796
0.4534.207812.366191
0.4544.2257132.339227
0.4554.2425822.311962
0.4564.258422.284454
0.4574.2732322.256755
0.4584.287032.22892
0.4594.2998272.201
0.464.3116382.173042
0.4614.3224822.145092
0.4624.3323792.117193
0.4634.3413532.089387
0.4644.3494272.061711
0.4654.3566272.0342
0.4664.3629792.006887
0.4674.3685111.979802
0.4684.3732521.952972
0.4694.3772311.926422
0.474.3804751.900176
0.4714.3830151.874252
0.4724.384881.84867
0.4734.3860981.823445
0.4744.3866981.79859
0.4754.3867081.774119
0.4764.3861561.750041
0.4774.3850691.726364
0.4784.3834731.703097
0.4794.3813941.680244
0.484.3788571.657809
0.4814.3758861.635798
0.4824.3725051.61421
0.4834.3687351.593047
0.4844.3645991.572309
0.4854.3601171.551996
0.4864.355311.532106
0.4874.3501951.512637
0.4884.3447931.493586
0.4894.3391191.474951
0.494.3331911.456726
0.4914.3270251.438908
0.4924.3206351.421494
0.4934.3140361.404477
0.4944.3072411.387853
0.4954.3002641.371616
0.4964.2931161.355763
0.4974.2858091.340286
0.4984.2783541.325181
0.4994.2707611.310441
0.54.263041.296061
0.5014.25521.282036
0.5024.2472511.268359
0.5034.2391991.255026
0.5044.2310521.24203
0.5054.2228191.229366
0.5064.2145061.217028
0.5074.2061191.205012
0.5084.1976641.193311
0.5094.1891471.181922
0.514.1805721.170838
0.5114.1719461.160056
0.5124.1632731.14957
0.5134.1545571.139376
0.5144.1458021.129469
0.5154.1370121.119846
0.5164.1281911.110502
0.5174.1193421.101433
0.5184.1104681.092636
0.5194.1015731.084107
0.524.0926591.075843
0.5214.0837281.067841
0.5224.0747851.060098
0.5234.065831.052611
0.5244.0568661.045378
0.5254.0478951.038396
0.5264.038921.031663
0.5274.0299421.025177
0.5284.0209641.018937
0.5294.0119871.012941
0.534.0030131.007187
0.5313.9940451.001674
0.5323.9850830.996403
0.5333.976130.99137
0.5343.9671880.986578
0.5353.9582580.982024
0.5363.9493440.97771
0.5373.9404450.973634
0.5383.9315660.969798
0.5393.9227080.966202
0.543.9138740.962846
0.5413.9050650.959732
0.5423.8962850.956861
0.5433.8875370.954234
0.5443.8788240.951853
0.5453.8701480.949719
0.5463.8615140.947834
0.5473.8529250.946201
0.5483.8443850.944821
0.5493.83590.943697
0.553.8274720.942831
0.5513.8191090.942227
0.5523.8108160.941886
0.5533.8025970.941811
0.5543.7944610.942006
0.5553.7864140.942473
0.5563.7784630.943214
0.5573.7706170.944234
0.5583.7628840.945534
0.5593.7552750.947116
0.563.7477970.948984
0.5613.7404640.951139
0.5623.7332860.953583
0.5633.7262750.956317
0.5643.7194440.959343
0.5653.7128080.962659
0.5663.7063790.966266
0.5673.7001750.970162
0.5683.694210.974346
0.5693.6885010.978813
0.573.6830670.983559
0.5713.6779240.988579
0.5723.6730910.993865
0.5733.6685870.999407
0.5743.6644311.005196
0.5753.6606431.011218
0.5763.657241.017459
0.5773.6542411.0239
0.5783.6516641.030523
0.5793.6495251.037304
0.583.6478391.04422
0.5813.6466171.051243
0.5823.6458681.058343
0.5833.6455971.065486
0.5843.6458041.072639
0.5853.646481.079763
0.5863.6476071.086821
0.5873.6491541.093775
0.5883.6510691.100589
0.5893.6532611.107233
0.593.6555721.113698
0.5913.657631.120032
0.5923.6581511.127944
0.5933.6620411.138068
0.5943.6677731.147288
0.5953.6746981.155736
0.5963.6825731.163425
0.5973.691251.170338
0.5983.7006151.176451
0.5993.7105711.181739
0.63.7210271.186179
0.6013.7318971.189748
0.6023.7430981.192433
0.6033.7545441.194222
0.6043.7661561.195113
0.6053.7778531.195107
0.6063.7895541.194215
0.6073.8011851.192452
0.6083.8126721.189842
0.6093.8239441.186413
0.613.8349381.1822
0.6113.8455911.177243
0.6123.8558481.171587
0.6133.865661.165281
0.6143.8749831.158378
0.6153.8837781.15093
0.6163.8920141.142996
0.6173.8996641.134632
0.6183.9067081.125896
0.6193.9131321.116846
0.623.9189261.10754
0.6213.9240861.098032
0.6223.9286121.088378
0.6233.9325071.07863
0.6243.935781.068838
0.6253.9384421.059051
0.6263.9405061.049314
0.6273.9419881.03967
0.6283.9429061.030162
0.6293.943281.020829
0.633.943131.011708
0.6313.942481.002835
0.6323.9413520.994245
0.6333.9397710.98597
0.6343.937760.978043
0.6353.9353470.970498
0.6363.9325580.963366
0.6373.929420.956681
0.6383.9259660.950476
0.6393.9222260.944788
0.643.9182360.939653
0.6413.9140370.93511
0.6423.9096730.931202
0.6433.9051970.927972
0.6443.900670.925468
0.6453.8961650.923737
0.6463.8917680.922827
0.6473.8875830.922785
0.6483.8837360.923653
0.6493.8803780.92546
0.653.8776860.928222
0.6513.875870.931921
0.6523.8751670.936503
0.6533.8758420.941853
0.6543.8781690.947782
0.6553.8824190.954005
0.6563.8888170.960131
0.6573.8975060.96566
0.6583.9084920.970001
0.6593.9215940.972519
0.663.9364160.972606
0.6613.952350.969771
0.6623.9686260.963731
0.6633.9844020.954467
0.6643.9988810.942236
0.6654.0114090.927529
0.6664.0215520.910981
0.6674.0291060.893276
0.6684.0340820.875062
0.6694.0366490.856887
0.674.0370790.839174
0.6714.0356910.822223
0.6724.0328090.806218
0.6734.028740.791256
0.6744.0237540.777364
0.6754.0180810.764526
0.6764.0119110.752694
0.6774.0053980.741803
0.6783.9986640.731781
0.6793.9918020.722552
0.683.9848860.714045
0.6813.9779710.706188
0.6823.9710980.698919
0.6833.9642970.692178
0.6843.9575890.685914
0.6853.9509910.680078
0.6863.9445120.674628
0.6873.9381590.669527
0.6883.9319350.664742
0.6893.9258410.660243
0.693.9198770.656003
0.6913.9140420.652
0.6923.9083340.648213
0.6933.9027480.644623
0.6943.8972830.641214
0.6953.8919340.637972
0.6963.8866990.634883
0.6973.8815720.631935
0.6983.8765520.629119
0.6993.8716330.626424
0.73.8668120.623842
0.7013.8620860.621365
0.7023.8574510.618987
0.7033.8529050.6167
0.7043.8484430.6145
0.7053.8440630.612381
0.7063.8397620.610337
0.7073.8355380.608366
0.7083.8313870.606461
0.7093.8273070.604621
0.713.8232970.602841
0.7113.8193520.601118
0.7123.8154720.59945
0.7133.8116540.597833
0.7143.8078960.596265
0.7153.8041970.594744
0.7163.8005550.593267
0.7173.7969670.591833
0.7183.7934320.59044
0.7193.7899490.589085
0.723.7865160.587768
0.7213.7831330.586486
0.7223.7797960.585238
0.7233.7765050.584023
0.7243.773260.582839
0.7253.7700580.581686
0.7263.7668980.580562
0.7273.763780.579465
0.7283.7607020.578396
0.7293.7576640.577353
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0.7863.6285930.543085
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0.7893.6234510.542095
0.793.6217630.541775
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0.833.5629510.532537
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0.8473.5420140.530158
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0.863.5272410.528785
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0.8623.5250530.528604
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0.9243.4659760.526082
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0.943.4528810.526199
0.9413.4520860.526215
0.9423.4512930.526231
0.9433.4505020.526249
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0.9473.4473660.526329
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0.953.4450390.526398
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0.963.4374340.526687
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0.9623.435940.526754
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0.9643.4344550.526826
0.9653.4337150.526863
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0.9993.4097130.528572
1.03.4090380.528635
1.00253.4073560.528795
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1.013.4023690.5293
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1.023.3958480.530029
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1.04753.3785840.532343
1.053.3770590.532574
1.05253.375540.532809
1.0553.3740280.533047
1.05753.3725220.533289
1.063.3710230.533534
1.06253.369530.533782
1.0653.3680430.534033
1.06753.3665620.534287
1.073.3650880.534545
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1.33.2440170.569105
1.30253.2427790.569579
1.3053.2415430.570055
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1.313.2390710.571012
1.31253.2378350.571494
1.3153.23660.571977
1.31753.2353660.572462
1.323.2341310.572949
1.32253.2328980.573438
1.3253.2316640.573929
1.32753.230430.574421
1.333.2291970.574915
1.33253.2279640.575411
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1.343.2242660.576909
1.34253.2230330.577412
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1.34753.2205690.578423
1.353.2193370.578931
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1.35753.215640.580466
1.363.2144080.580981
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1.3653.2119430.582016
1.36753.2107110.582536
1.373.2094780.583058
1.37253.2082450.583582
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1.383.2045460.585163
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1.4053.1921980.590542
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1.41253.1884870.592188
1.4153.1872480.59274
1.41753.186010.593294
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1.42253.1835320.594406
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1.42753.1810510.595525
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1.43753.1760840.597782
1.443.174840.59835
1.44253.1735970.59892
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1.453.1698610.60064
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1.50753.1409920.614301
1.513.1397260.614914
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1.51753.1359230.616763
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1.6553.0643220.653149
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1.663.0616420.654562
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1.673.0562630.657406
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1.6753.0535640.658837
1.67753.0522120.659555
1.683.0508590.660275
1.68253.0495040.660996
1.6853.0481480.661719
1.68753.046790.662444
1.693.0454310.66317

Optical transmission calculator

Free-standing sample in vacuum, normal incidence
Method
Transmittance T
—
Reflectance R
—

Fresnel reflection calculator

Direction
Rp
—
Rs
—
R = (Rp+Rs)/2
—
Phase φp
—
Phase φs
—
Brewster angle θB
—
Critical angle θC
—