Optical constants

Refractive index of MoSe2 (Molybdenum diselenide)

Munkhbat et al. 2022: multilayer flakes; n,k(o) 0.30–1.69 µm

Data
tabulated nk
Range
0.3–1.69 µm
Points
977
Optical axis
o
Licence
CC0-1.0

Uniaxial crystal, axes: oe

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.3–1.69 µm
Refractive index n
5.08526
Extinction coefficient k
1.33
Permittivity ε1
24.0909
Permittivity ε2
13.5268
Absorption coefficient α
284433 cm⁻¹
Penetration depth δ = λ/(2πk)
70.3153 nm
Abbe number Vd
—
Chromatic dispersion dn/dλ
-3.466 µm⁻¹
Group index ng
7.12188
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

# MoSe2 (Molybdenum diselenide): Munkhbat et al. 2022: multilayer flakes; n,k(o) 0.30–1.69 µm
mose2 = ls.fetch_refractiveindex("main", "MoSe2", "Munkhbat-o", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(mose2.range_nm)  # (300, 1690) nm
eps = mose2.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

Multilayer flakes. In-plane (ordinary ray, o). Room temperature.

Conditions

direction
o

References

B. Munkhbat, P. Wrobel, T. J. Antosiewicz, T. O. Shegai. Optical constants of several multilayer transition metal dichalcogenides spectroscopic ellipsometry in the 300–1700 nm range: High index, anisotropy, and hyperbolicity. ACS Photonics 9, 2398–2407 (2022) (Numerical data kindly provided by Tomasz Antosiewicz)
  • doi:10.1021/acsphotonics.2c00433 Optical Constants of Several Multilayer Transition Metal Dichalcogenides Measured by Spectroscopic Ellipsometry in the 300–1700 nm Range: High Index, Anisotropy, and Hyperbolicity, ACS Photonics (2022)

Cite

Battulga Munkhbat, Piotr Wróbel, Tomasz J. Antosiewicz and Timur O. Shegai. Optical Constants of Several Multilayer Transition Metal Dichalcogenides Measured by Spectroscopic Ellipsometry in the 300–1700 nm Range: High Index, Anisotropy, and Hyperbolicity. ACS Photonics, 9, 2398-2407 (2022), doi:10.1021/acsphotonics.2c00433; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

977 rows as published
MoSe2 (Molybdenum diselenide), Munkhbat et al. 2022: multilayer flakes; n,k(o) 0.30–1.69 µm: n and k versus wavelength
λ (µm)nk
0.32.8558422.765701
0.3012.8727512.761092
0.3022.8893512.755998
0.3032.9056092.750435
0.3042.9214952.744421
0.3052.9369782.737977
0.3062.9520322.731125
0.3072.9666272.72389
0.3082.980742.716298
0.3092.9943472.708379
0.313.0074262.700162
0.3113.0199592.69168
0.3123.0319272.682965
0.3133.0433172.674053
0.3143.0541162.664978
0.3153.0643142.655778
0.3163.0739042.646489
0.3173.0828822.637149
0.3183.0912452.627794
0.3193.0989942.618463
0.323.1061332.609193
0.3213.1126672.600021
0.3223.1186052.590983
0.3233.1239562.582114
0.3243.1287342.573448
0.3253.1329542.565019
0.3263.1366332.556859
0.3273.1397892.548998
0.3283.1424442.541465
0.3293.144622.534287
0.333.146342.527491
0.3313.147632.5211
0.3323.1485152.515135
0.3333.1490232.509618
0.3343.1491832.504566
0.3353.1490222.499995
0.3363.148572.495921
0.3373.1478562.492356
0.3383.1469112.48931
0.3393.1457652.486792
0.343.1444472.48481
0.3413.1429892.483368
0.3423.1414192.482471
0.3433.1397672.482121
0.3443.1380642.482318
0.3453.1363372.483061
0.3463.1346142.484348
0.3473.1329252.486175
0.3483.1312952.488537
0.3493.1297532.491428
0.353.1283222.494841
0.3513.1270292.498766
0.3523.1258982.503196
0.3533.1249532.508118
0.3543.1242162.513522
0.3553.1237092.519397
0.3563.1234552.525728
0.3573.1234722.532503
0.3583.1237812.539708
0.3593.1244012.547327
0.363.1253492.555346
0.3613.1266432.563748
0.3623.1282992.572518
0.3633.1303332.581638
0.3643.132762.591093
0.3653.1355942.600863
0.3663.1388492.610932
0.3673.1425362.621281
0.3683.146672.631893
0.3693.151262.642747
0.373.1563172.653826
0.3713.1618522.665111
0.3723.1678752.676581
0.3733.1743932.688216
0.3743.1814152.699998
0.3753.1889492.711906
0.3763.1970012.72392
0.3773.2055782.736018
0.3783.2146862.748179
0.3793.224332.760384
0.383.2345142.772609
0.3813.2452422.784834
0.3823.2565172.797036
0.3833.2683422.809193
0.3843.2807182.821283
0.3853.2936462.833282
0.3863.3071282.845168
0.3873.3211612.856916
0.3883.3357452.868504
0.3893.3508772.879907
0.393.3665552.891101
0.3913.3827732.902062
0.3923.3995272.912764
0.3933.4168112.923183
0.3943.4346172.933294
0.3953.4529362.943071
0.3963.4717592.95249
0.3973.4910742.961525
0.3983.5108692.970152
0.3993.531132.978344
0.43.5518422.986078
0.4013.5729872.993329
0.4023.5945473.000072
0.4033.6165033.006285
0.4043.6388323.011945
0.4053.6615113.017029
0.4063.6845163.021517
0.4073.707823.025388
0.4083.7313963.028624
0.4093.7552133.031206
0.413.779243.03312
0.4113.8034473.034351
0.4123.8277973.034886
0.4133.8522583.034715
0.4143.8767923.033829
0.4153.9013633.032222
0.4163.9259333.029891
0.4173.9504643.026834
0.4183.9749173.023052
0.4193.9992543.018548
0.424.0234343.013331
0.4214.0474213.007408
0.4224.0711753.000792
0.4234.094662.993498
0.4244.1178392.985543
0.4254.1406762.976947
0.4264.1631392.967732
0.4274.1851962.957923
0.4284.2068152.947548
0.4294.227972.936636
0.434.2486342.925217
0.4314.2687852.913324
0.4324.2884012.900992
0.4334.3074652.888256
0.4344.3259622.875152
0.4354.3438782.861717
0.4364.3612052.847989
0.4374.3779362.834005
0.4384.3940662.819802
0.4394.4095962.805419
0.444.4245262.79089
0.4414.438862.776253
0.4424.4526052.761543
0.4434.4657712.746792
0.4444.4783672.732033
0.4454.4904082.717298
0.4464.5019092.702615
0.4474.5128862.688013
0.4484.5233572.673517
0.4494.5333412.65915
0.454.5428612.644936
0.4514.5519362.630893
0.4524.5605892.617041
0.4534.5688432.603395
0.4544.5767222.589969
0.4554.5842492.576776
0.4564.5914482.563827
0.4574.5983422.55113
0.4584.6049552.538691
0.4594.6113112.526517
0.464.6174332.514611
0.4614.6233432.502975
0.4624.6290642.49161
0.4634.6346182.480516
0.4644.6400262.469689
0.4654.6453112.459126
0.4664.6504952.448819
0.4674.6555912.438754
0.4684.6606092.428928
0.4694.6655642.419336
0.474.6704712.409971
0.4714.6753432.400828
0.4724.6801932.391898
0.4734.6850332.383173
0.4744.6898762.374645
0.4754.6947322.366305
0.4764.699612.358143
0.4774.7045212.350149
0.4784.7094732.342314
0.4794.7144742.334627
0.484.7195292.327078
0.4814.7246472.319657
0.4824.7298322.312353
0.4834.735092.305156
0.4844.7404242.298056
0.4854.7458382.291042
0.4864.7513362.284103
0.4874.7569182.27723
0.4884.7625882.270413
0.4894.7683472.263641
0.494.7741952.256905
0.4914.7801332.250195
0.4924.7861592.243502
0.4934.7922752.236816
0.4944.7984772.230128
0.4954.8047662.223431
0.4964.8111382.216715
0.4974.8175922.209971
0.4984.8241242.203193
0.4994.8307322.196371
0.54.8374122.1895
0.5014.8441612.18257
0.5024.8509742.175577
0.5034.8578462.168512
0.5044.8647752.16137
0.5054.8717542.154144
0.5064.8787782.146829
0.5074.8858422.13942
0.5084.8929412.13191
0.5094.9000692.124297
0.514.907222.116574
0.5114.9143882.108737
0.5124.9215662.100784
0.5134.9287492.09271
0.5144.9359292.084512
0.5154.94312.076187
0.5164.9502552.067733
0.5174.9573872.059147
0.5184.964492.050428
0.5194.9715562.041574
0.524.9785782.032583
0.5214.9855492.023456
0.5224.9924622.014191
0.5234.9993092.004788
0.5245.0060831.995247
0.5255.0127771.98557
0.5265.0193841.975755
0.5275.0258961.965806
0.5285.0323061.955723
0.5295.0386081.945508
0.535.0447931.935164
0.5315.0508551.924692
0.5325.0567881.914097
0.5335.0625831.90338
0.5345.0682351.892546
0.5355.0737371.881599
0.5365.0790821.870542
0.5375.0842641.859381
0.5385.0892771.848119
0.5395.0941161.836763
0.545.0987731.825318
0.5415.1032451.81379
0.5425.1075251.802184
0.5435.1116081.790507
0.5445.115491.778766
0.5455.1191671.766968
0.5465.1226331.75512
0.5475.1258851.74323
0.5485.128921.731304
0.5495.1317331.719352
0.555.1343231.707382
0.5515.1366871.695401
0.5525.1388221.683419
0.5535.1407271.671445
0.5545.14241.659486
0.5555.143841.647554
0.5565.1450471.635656
0.5575.146021.623802
0.5585.1467611.612003
0.5595.1472691.600267
0.565.1475471.588603
0.5615.1475951.577023
0.5625.1474171.565536
0.5635.1470151.554151
0.5645.1463921.542878
0.5655.1455531.531727
0.5665.1445021.520707
0.5675.1432441.509828
0.5685.1417841.499099
0.5695.1401291.488529
0.575.1382861.478128
0.5715.1362611.467904
0.5725.1340631.457865
0.5735.13171.448019
0.5745.1291811.438375
0.5755.1265161.428938
0.5765.1237151.419717
0.5775.1207881.410717
0.5785.1177481.401945
0.5795.1146051.393404
0.585.1113721.3851
0.5815.1080621.377037
0.5825.1046881.369217
0.5835.1012621.361642
0.5845.0978011.354315
0.5855.0943161.347234
0.5865.0908231.3404
0.5875.0873371.333811
0.5885.0838711.327463
0.5895.080441.321355
0.595.0770591.315479
0.5915.0737431.30983
0.5925.0705051.304401
0.5935.0673591.299184
0.5945.0643171.294167
0.5955.0613941.289341
0.5965.0585991.284693
0.5975.0559441.28021
0.5985.0534391.275878
0.5995.0510921.271681
0.65.0489111.267602
0.6015.0469011.263625
0.6025.0450671.259731
0.6035.0434121.255902
0.6045.0419361.25212
0.6055.0406381.248365
0.6065.0395161.244618
0.6075.0385651.24086
0.6085.0377781.237072
0.6095.0371461.233236
0.615.036661.229334
0.6115.0363061.225351
0.6125.036071.221272
0.6135.0359371.217082
0.6145.0358891.212769
0.6155.0359081.208324
0.6165.0359731.203738
0.6175.0360631.199005
0.6185.0361581.194121
0.6195.0362341.189084
0.625.0362711.183896
0.6215.0362451.178559
0.6225.0361351.173079
0.6235.0359191.167464
0.6245.0355771.161725
0.6255.035091.155872
0.6265.0344391.149921
0.6275.0336081.143888
0.6285.0325821.13779
0.6295.0313471.131648
0.635.0298921.125482
0.6315.0282081.119314
0.6325.0262871.113166
0.6335.0241251.107062
0.6345.0217191.101026
0.6355.0190681.095082
0.6365.0161731.089255
0.6375.0130391.083568
0.6385.009671.078046
0.6395.0060751.072712
0.645.0022641.067589
0.6414.9982471.062698
0.6424.9940391.058063
0.6434.9896541.053701
0.6444.985111.049635
0.6454.9804231.045881
0.6464.9756151.042456
0.6474.9707061.039377
0.6484.9657191.036658
0.6494.9606761.034313
0.654.9556041.032354
0.6514.9505281.03079
0.6524.9454751.029631
0.6534.9404731.028884
0.6544.9355511.028555
0.6554.930741.028648
0.6564.926071.029166
0.6574.9215751.030109
0.6584.9172861.031475
0.6594.9132381.033261
0.664.9094661.035462
0.6614.9060051.038068
0.6624.9028921.04107
0.6634.9001651.044454
0.6644.8978631.048203
0.6654.8960231.052295
0.6664.8946831.056706
0.6674.893881.061411
0.6684.8936541.066381
0.6694.8940441.071579
0.674.8950931.076968
0.6714.8968461.082503
0.6724.8993651.088127
0.6734.9026841.093706
0.6744.9067581.099167
0.6754.911581.10446
0.6764.9171461.109532
0.6774.9234531.11432
0.6784.9304911.11876
0.6794.9382481.122785
0.684.9467021.126324
0.6814.9558281.129308
0.6824.9655861.131664
0.6834.9759341.133322
0.6844.9868151.134214
0.6854.9981661.134277
0.6865.0099131.133451
0.6875.0219751.131686
0.6885.0342611.128939
0.6895.0466731.125177
0.695.059111.120381
0.6915.0714641.114541
0.6925.0836271.107664
0.6935.0954911.099768
0.6945.106951.090887
0.6955.1179041.081067
0.6965.1282561.070368
0.6975.1379231.058862
0.6985.1468291.046627
0.6995.154911.033754
0.75.1621161.020337
0.7015.1684081.006475
0.7025.1737620.9922687
0.7035.1781680.9778174
0.7045.1816250.9632193
0.7055.1841470.9485684
0.7065.1857570.9339532
0.7075.1864860.9194556
0.7085.1863740.9051504
0.7095.1854680.891104
0.715.1838160.877375
0.7115.1814740.8640134
0.7125.1784970.8510611
0.7135.1749420.8385521
0.7145.1708650.8265131
0.7155.1663240.8149639
0.7165.1613730.8039179
0.7175.1560640.7933832
0.7185.1504460.7833626
0.7195.1445670.7738547
0.725.1384710.7648544
0.7215.1321980.7563535
0.7225.1257870.7483411
0.7235.119270.7408044
0.7245.112680.7337287
0.7255.1060450.7270982
0.7265.0993890.7208961
0.7275.0927360.7151052
0.7285.0861050.7097076
0.7295.0795130.7046857
0.735.0729750.7000216
0.7315.0665050.695698
0.7325.0601140.6916976
0.7335.053810.6880039
0.7345.0476030.6846008
0.7355.0414970.6814729
0.7365.0354970.6786054
0.7375.0296080.6759844
0.7385.0238320.6735967
0.7395.018170.6714299
0.745.0126230.6694725
0.7415.0071910.6677137
0.7425.0018730.6661437
0.7434.9966690.6647535
0.7444.9915740.6635349
0.7454.9865880.6624807
0.7464.9817080.6615845
0.7474.976930.6608408
0.7484.9722510.6602449
0.7494.9676670.6597932
0.754.9631740.6594826
0.7514.9587690.6593114
0.7524.9544470.6592785
0.7534.9502050.6593837
0.7544.9460380.6596279
0.7554.9419430.6600128
0.7564.9379160.6605412
0.7574.9339540.6612167
0.7584.9300540.6620442
0.7594.9262130.6630294
0.764.9224290.6641791
0.7614.91870.6655012
0.7624.9150250.6670047
0.7634.9114040.6686999
0.7644.9078380.670598
0.7654.9043290.6727118
0.7664.9008790.6750549
0.7674.8974920.6776424
0.7684.8941750.6804908
0.7694.8909350.6836177
0.774.8877820.6870421
0.7714.8847260.6907843
0.7724.8817840.6948658
0.7734.8789710.6993095
0.7744.876310.7041392
0.7754.8738230.7093798
0.7764.8715410.715057
0.7774.8694970.7211972
0.7784.8677290.7278268
0.7794.8662830.7349721
0.784.8652110.7426585
0.7814.8645730.7509098
0.7824.8644350.7597474
0.7834.8648760.7691888
0.7844.8659820.7792464
0.7854.867850.7899256
0.7864.8705890.8012223
0.7874.8743170.8131209
0.7884.8791670.8255907
0.7894.8852780.8385826
0.794.8928010.8520252
0.7914.9018930.8658204
0.7924.9127140.8798388
0.7934.9254210.8939157
0.7944.9401650.9078465
0.7954.9570770.9213846
0.7964.9762620.9342389
0.7974.9977870.946076
0.7985.0216660.9565213
0.7995.0478410.9651661
0.85.0761720.971592
0.8015.1064340.9753821
0.8025.1383060.9761421
0.8035.1713750.9735262
0.8045.2051420.9672627
0.8055.239040.9571789
0.8065.272460.9432201
0.8075.3047810.9254612
0.8085.3354050.9041079
0.8095.3637910.8794871
0.815.3894840.852027
0.8115.4121350.8222298
0.8125.4315150.7906405
0.8135.4475130.7578144
0.8145.4601310.7242886
0.8155.4694670.6905581
0.8165.4756960.6570598
0.8175.4790510.6241622
0.8185.4797990.5921628
0.8195.478230.5612894
0.825.4746320.5317057
0.8215.469290.5035189
0.8225.4624710.4767886
0.8235.4544220.4515351
0.8245.4453640.4277484
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1.694.1896170.0

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
—