Optical constants

Refractive index of Bi2Se3 (Bismuth selenide)

Fang et al. 2020: 6-layer (6L) 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
4.61537
Extinction coefficient k
3.77885
Permittivity ε1
7.02193
Permittivity ε2
34.8816
Absorption coefficient α
808142 cm⁻¹
Penetration depth δ = λ/(2πk)
24.7481 nm
Abbe number Vd
—
Chromatic dispersion dn/dλ
13.817 µm⁻¹
Group index ng
-3.5035
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

# Bi2Se3 (Bismuth selenide): Fang et al. 2020: 6-layer (6L) film; n,k 0.193–1.69 µm
bi2se3 = ls.fetch_refractiveindex("main", "Bi2Se3", "Fang-6L", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(bi2se3.range_nm)  # (193, 1690) nm
eps = bi2se3.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

6-layer, 6L

Conditions

film thickness
6L
substrate
sapphire

References

M. Fang, Z. Wang, H. Gu, M. Tong, B. Song, X. Xie, T. Zhou, X. Chen, H. Jiang, T. Jiang, S. Liu. Layer-dependent dielectric permittivity of topological insulator Bi2Se3 thin films. Appl. Surf. Sci. 509, 144822 (2020) (Numerical data kindly provided by Baokun Song)

Cite

Mingsheng Fang et al.. Layer-dependent dielectric permittivity of topological insulator Bi2Se3 thin films. Applied Surface Science, 509, 144822 (2020), doi:10.1016/j.apsusc.2019.144822; 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
Bi2Se3 (Bismuth selenide), Fang et al. 2020: 6-layer (6L) film; n,k 0.193–1.69 µm: n and k versus wavelength
λ (µm)nk
0.1930.8638391.396754
0.1940.8566021.417791
0.1950.8507081.435947
0.1960.8456841.451974
0.1970.8412141.466422
0.1980.8370881.479701
0.1990.8331641.492126
0.20.8293461.503943
0.2010.8255731.515344
0.2020.8218081.526485
0.2030.818031.537491
0.2040.8142341.548464
0.2050.8104231.559484
0.2060.8066081.570618
0.2070.8028031.581918
0.2080.7990291.593427
0.2090.7953081.605176
0.210.7916621.617189
0.2110.7881171.629482
0.2120.7846951.642068
0.2130.7814221.65495
0.2140.778321.668131
0.2150.7754111.681607
0.2160.7727161.695372
0.2170.7702521.709418
0.2180.7680381.723733
0.2190.7660881.738304
0.220.7644171.753118
0.2210.7630351.768158
0.2220.7619531.783408
0.2230.7611791.798852
0.2240.7607191.814472
0.2250.7605781.830252
0.2260.760761.846174
0.2270.7612671.862221
0.2280.76211.878377
0.2290.7632581.894625
0.230.764741.910952
0.2310.7665441.927341
0.2320.7686671.943778
0.2330.7711061.96025
0.2340.7738551.976744
0.2350.7769111.993248
0.2360.7802692.00975
0.2370.7839212.02624
0.2380.7878642.042707
0.2390.7920912.059142
0.240.7965952.075536
0.2410.801372.091882
0.2420.806412.10817
0.2430.8117092.124395
0.2440.817262.140549
0.2450.8230572.156627
0.2460.8290932.172622
0.2470.8353622.188529
0.2480.8418582.204344
0.2490.8485742.220062
0.250.8555062.235678
0.2510.8626462.251189
0.2520.869992.266591
0.2530.8775312.281881
0.2540.8852642.297055
0.2550.8931842.312111
0.2560.9012852.327046
0.2570.9095632.341857
0.2580.9180122.356542
0.2590.9266272.371098
0.260.9354042.385524
0.2610.9443372.399817
0.2620.9534222.413975
0.2630.9626562.427997
0.2640.9720322.441881
0.2650.9815472.455625
0.2660.9911972.469228
0.2671.0009772.482688
0.2681.0108822.496004
0.2691.020912.509175
0.271.0310562.522198
0.2711.0413152.535073
0.2721.0516832.547799
0.2731.0621582.560375
0.2741.0727332.572799
0.2751.0834072.58507
0.2761.0941742.597188
0.2771.1050312.609151
0.2781.1159732.620959
0.2791.1269972.632611
0.281.1380992.644106
0.2811.1492752.655443
0.2821.160522.666622
0.2831.1718312.677642
0.2841.1832032.688503
0.2851.1946332.699205
0.2861.2061172.709746
0.2871.217652.720128
0.2881.2292282.730349
0.2891.2408482.74041
0.291.2525052.75031
0.2911.2641952.760051
0.2921.2759132.769631
0.2931.2876562.779052
0.2941.299422.788314
0.2951.31122.797417
0.2961.3229912.806363
0.2971.3347912.815151
0.2981.3465952.823783
0.2991.3583982.832261
0.31.3701962.840585
0.3011.3819862.848756
0.3021.3937622.856776
0.3031.4055222.864647
0.3041.4172612.87237
0.3051.4289752.879948
0.3061.440662.887381
0.3071.4523132.894674
0.3081.4639282.901827
0.3091.4755032.908843
0.311.4870342.915725
0.3111.4985182.922476
0.3121.509952.929098
0.3131.5213282.935594
0.3141.5326482.941968
0.3151.5439072.948223
0.3161.5551012.954362
0.3171.5662292.960389
0.3181.5772872.966307
0.3191.5882722.97212
0.321.5991822.977832
0.3211.6100142.983448
0.3221.6207672.98897
0.3231.6314382.994403
0.3241.6420252.999751
0.3251.6525273.005019
0.3261.6629423.010211
0.3271.6732693.015332
0.3281.6835073.020385
0.3291.6936543.025375
0.331.7037093.030308
0.3311.7136733.035186
0.3321.7235453.040016
0.3331.7333253.044802
0.3341.7430123.049548
0.3351.7526073.054258
0.3361.762113.058938
0.3371.7715223.063591
0.3381.7808443.068223
0.3391.7900763.072837
0.341.799223.077438
0.3411.8082773.082031
0.3421.8172483.086619
0.3431.8261363.091206
0.3441.8349423.095797
0.3451.8436673.100395
0.3461.8523163.105005
0.3471.8608893.109629
0.3481.8693893.114272
0.3491.8778193.118936
0.351.8861823.123626
0.3511.894483.128343
0.3521.9027173.133092
0.3531.9108963.137875
0.3541.9190193.142694
0.3551.9270913.147552
0.3561.9351143.152451
0.3571.9430923.157394
0.3581.9510293.162382
0.3591.9589293.167417
0.361.9667943.172501
0.3611.9746283.177634
0.3621.9824363.18282
0.3631.9902213.188057
0.3641.9979863.193348
0.3652.0057363.198693
0.3662.0134743.204092
0.3672.0212043.209546
0.3682.028933.215056
0.3692.0366543.22062
0.372.0443823.22624
0.3712.0521163.231914
0.3722.059863.237642
0.3732.0676173.243424
0.3742.0753913.249259
0.3752.0831853.255146
0.3762.0910033.261084
0.3772.0988473.267072
0.3782.106723.273109
0.3792.1146263.279193
0.382.1225683.285323
0.3812.1305473.291496
0.3822.1385683.297713
0.3832.1466323.30397
0.3842.1547423.310265
0.3852.1629013.316598
0.3862.1711093.322966
0.3872.1793713.329366
0.3882.1876873.335797
0.3892.196063.342256
0.392.2044913.348742
0.3912.2129823.355251
0.3922.2215343.361782
0.3932.230153.368332
0.3942.238833.374899
0.3952.2475753.38148
0.3962.2563873.388073
0.3972.2652663.394676
0.3982.2742143.401286
0.3992.2832313.4079
0.42.2923183.414517
0.4012.3014753.421134
0.4022.3107033.427748
0.4032.3200013.434357
0.4042.3293723.440959
0.4052.3388133.447551
0.4062.3483273.454131
0.4072.3579123.460697
0.4082.3675683.467247
0.4092.3772953.473778
0.412.3870943.480288
0.4112.3969633.486775
0.4122.4069023.493238
0.4132.4169113.499673
0.4142.4269893.506079
0.4152.4371363.512455
0.4162.447353.518797
0.4172.4576323.525105
0.4182.4679793.531377
0.4192.4783933.537611
0.422.488873.543805
0.4212.4994123.549958
0.4222.5100163.556068
0.4232.5206823.562134
0.4242.5314093.568154
0.4252.5421953.574127
0.4262.5530393.580051
0.4272.5639413.585926
0.4282.5748993.591751
0.4292.5859123.597523
0.432.5969793.603243
0.4312.6080983.608909
0.4322.6192693.614519
0.4332.630493.620074
0.4342.641763.625573
0.4352.6530783.631014
0.4362.6644423.636397
0.4372.6758513.641721
0.4382.6873053.646986
0.4392.6988013.652191
0.442.7103383.657336
0.4412.7219163.66242
0.4422.7335323.667442
0.4432.7451873.672403
0.4442.7568783.677302
0.4452.7686043.682138
0.4462.7803653.686912
0.4472.7921583.691624
0.4482.8039843.696272
0.4492.815843.700858
0.452.8277263.705381
0.4512.839643.70984
0.4522.8515823.714237
0.4532.863553.718571
0.4542.8755443.722842
0.4552.8875623.72705
0.4562.8996033.731196
0.4572.9116673.735279
0.4582.9237533.7393
0.4592.9358593.743259
0.462.9479853.747156
0.4612.9601293.750992
0.4622.9722923.754766
0.4632.9844733.75848
0.4642.9966693.762133
0.4653.0088823.765726
0.4663.021113.76926
0.4673.0333533.772734
0.4683.0456093.776149
0.4693.0578793.779506
0.473.0701613.782804
0.4713.0824563.786045
0.4723.0947623.789229
0.4733.107083.792355
0.4743.1194083.795426
0.4753.1317473.798441
0.4763.1440963.801401
0.4773.1564553.804306
0.4783.1688233.807156
0.4793.18123.809953
0.483.1935863.812696
0.4813.2059813.815387
0.4823.2183843.818025
0.4833.2307963.820611
0.4843.2432153.823146
0.4853.2556433.825629
0.4863.2680793.828063
0.4873.2805243.830446
0.4883.2929763.832779
0.4893.3054363.835063
0.493.3179043.837298
0.4913.3303813.839485
0.4923.3428663.841624
0.4933.355363.843715
0.4943.3678623.845759
0.4953.3803733.847756
0.4963.3928933.849706
0.4973.4054233.851609
0.4983.4179623.853467
0.4993.4305113.855278
0.53.443073.857044
0.5013.4556393.858764
0.5023.468223.860439
0.5033.4808113.862068
0.5043.4934143.863653
0.5053.506033.865193
0.5063.5186573.866687
0.5073.5312983.868137
0.5083.5439513.869542
0.5093.5566193.870902
0.513.56933.872217
0.5113.5819973.873487
0.5123.5947083.874712
0.5133.6074353.875891
0.5143.6201793.877025
0.5153.6329393.878113
0.5163.6457163.879156
0.5173.6585113.880151
0.5183.6713243.881101
0.5193.6841563.882002
0.523.6970073.882857
0.5213.7098773.883664
0.5223.7227683.884422
0.5233.735683.885132
0.5243.7486133.885792
0.5253.7615683.886402
0.5263.7745453.886961
0.5273.7875443.887469
0.5283.8005673.887925
0.5293.8136133.888328
0.533.8266833.888678
0.5313.8397773.888973
0.5323.8528963.889213
0.5333.866043.889397
0.5343.879213.889524
0.5353.8924053.889592
0.5363.9056263.889602
0.5373.9188733.889552
0.5383.9321473.88944
0.5393.9454473.889266
0.543.9587743.889029
0.5413.9721283.888728
0.5423.9855083.888361
0.5433.9989163.887926
0.5444.012353.887424
0.5454.0258123.886852
0.5464.03933.88621
0.5474.0528153.885495
0.5484.0663563.884707
0.5494.0799243.883844
0.554.0935173.882905
0.5514.1071363.881889
0.5524.1207813.880793
0.5534.134453.879618
0.5544.1481443.87836
0.5554.1618613.877019
0.5564.1756023.875593
0.5574.1893653.874081
0.5584.203153.872481
0.5594.2169563.870792
0.564.2307823.869013
0.5614.2446283.867141
0.5624.2584923.865176
0.5634.2723743.863115
0.5644.2862723.860959
0.5654.3001853.858704
0.5664.3141123.85635
0.5674.3280523.853895
0.5684.3420033.851338
0.5694.3559653.848678
0.574.3699343.845912
0.5714.3839123.843041
0.5724.3978953.840062
0.5734.4118813.836975
0.5744.425873.833778
0.5754.439863.83047
0.5764.4538483.827049
0.5774.4678343.823516
0.5784.4818143.819868
0.5794.4957883.816105
0.584.5097533.812226
0.5814.5237073.80823
0.5824.5376473.804116
0.5834.5515733.799883
0.5844.5654813.795531
0.5854.579373.791058
0.5864.5932373.786465
0.5874.607083.781751
0.5884.6208973.776916
0.5894.6346843.771958
0.594.6484413.766878
0.5914.6621643.761675
0.5924.6758513.75635
0.5934.6894993.750902
0.5944.7031073.745331
0.5954.7166713.739637
0.5964.7301893.73382
0.5974.7436593.727881
0.5984.7570773.72182
0.5994.7704423.715637
0.64.7837513.709332
0.6014.7970013.702906
0.6024.810193.696361
0.6034.8233153.689695
0.6044.8363753.682911
0.6054.8493663.676009
0.6064.8622853.66899
0.6074.8751313.661854
0.6084.8879013.654604
0.6094.9005923.64724
0.614.9132033.639763
0.6114.9257313.632174
0.6124.9381733.624476
0.6134.9505283.616669
0.6144.9627933.608755
0.6154.9749653.600736
0.6164.9870443.592613
0.6174.9990263.584387
0.6185.010913.576062
0.6195.0226943.567637
0.625.0343763.559116
0.6215.0459533.550501
0.6225.0574253.541792
0.6235.0687893.532993
0.6245.0800433.524106
0.6255.0911873.515131
0.6265.1022183.506073
0.6275.1131363.496932
0.6285.1239373.487712
0.6295.1346223.478414
0.635.1451893.469041
0.6315.1556373.459595
0.6325.1659643.450078
0.6335.176173.440493
0.6345.1862533.430843
0.6355.1962133.42113
0.6365.2060483.411355
0.6375.2157593.401523
0.6385.2253433.391635
0.6395.2348013.381693
0.645.2441323.3717
0.6415.2533353.36166
0.6425.2624113.351573
0.6435.2713583.341443
0.6445.2801763.331272
0.6455.2888653.321063
0.6465.2974263.310819
0.6475.3058573.300541
0.6485.3141593.290231
0.6495.3223323.279894
0.655.3303763.26953
0.6515.3382913.259143
0.6525.3460773.248735
0.6535.3537353.238307
0.6545.3612653.227863
0.6555.3686673.217405
0.6565.3759423.206935
0.6575.383093.196455
0.6585.3901123.185968
0.6595.3970093.175476
0.665.4037813.16498
0.6615.4104283.154484
0.6625.4169523.143988
0.6635.4233543.133496
0.6645.4296343.12301
0.6655.4357933.11253
0.6665.4418323.10206
0.6675.4477523.0916
0.6685.4535543.081154
0.6695.4592383.070722
0.675.4648083.060307
0.6715.4702623.04991
0.6725.4756023.039534
0.6735.480833.029178
0.6745.4859463.018847
0.6755.4909523.00854
0.6765.495852.99826
0.6775.5006392.988007
0.6785.5053222.977784
0.6795.50992.967592
0.685.5143742.957432
0.6815.5187462.947306
0.6825.5230162.937214
0.6835.5271862.927159
0.6845.5312582.91714
0.6855.5352332.90716
0.6865.5391122.89722
0.6875.5428972.88732
0.6885.5465892.877463
0.6895.5501892.867647
0.695.5536992.857876
0.6915.5571212.848149
0.6925.5604552.838468
0.6935.5637042.828832
0.6945.5668682.819244
0.6955.5699492.809705
0.6965.5729482.800213
0.6975.5758672.790771
0.6985.5787082.781379
0.6995.5814712.772038
0.75.5841592.762748
0.7015.5867722.753511
0.7025.5893122.744325
0.7035.591782.735192
0.7045.5941782.726113
0.7055.5965082.717088
0.7065.5987692.708117
0.7075.6009652.6992
0.7085.6030962.690339
0.7095.6051642.681532
0.715.607172.672782
0.7115.6091152.664087
0.7125.6110012.655448
0.7135.6128292.646866
0.7145.61462.63834
0.7155.6163162.629871
0.7165.6179782.621459
0.7175.6195872.613104
0.7185.6211442.604806
0.7195.6226512.596565
0.725.624112.588381
0.7215.625522.580255
0.7225.6268842.572185
0.7235.6282032.564173
0.7245.6294782.556218
0.7255.6307092.54832
0.7265.6318992.540479
0.7275.6330482.532696
0.7285.6341582.524969
0.7295.6352292.517298
0.735.6362632.509685
0.7315.6372612.502127
0.7325.6382242.494626
0.7335.6391532.487181
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1.315.4628680.706937
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1.335.434250.680595
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1.345.4201130.66896
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1.355.406140.658244
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1.365.3923540.648382
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1.375.378770.63932
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1.3755.3720580.635075
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1.4255.3081510.602208
1.42755.3051230.600996
1.435.3021120.599823
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1.445.2902520.595526
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1.4455.2844360.593612
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1.515.21770.582516
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1.655.1795940.599412
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1.6555.1811820.598356
1.65755.1820050.597729
1.665.1828440.597037
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1.675.1862970.593598
1.67255.187170.592571
1.6755.188040.591478
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1.685.1897610.589097
1.68255.1906070.587809
1.6855.1914390.586459
1.68755.1922550.585047
1.695.1930520.583575

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
—