Optical constants

Refractive index of Bi2Se3 (Bismuth selenide)

Fang et al. 2020: 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
4.5231
Extinction coefficient k
3.25405
Permittivity ε1
9.86956
Permittivity ε2
29.4368
Absorption coefficient α
695909 cm⁻¹
Penetration depth δ = λ/(2πk)
28.7394 nm
Abbe number Vd
—
Chromatic dispersion dn/dλ
10.937 µm⁻¹
Group index ng
-1.90348
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: 4-layer (4L) film; n,k 0.193–1.69 µm
bi2se3 = ls.fetch_refractiveindex("main", "Bi2Se3", "Fang-4L", 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

4-layer, 4L

Conditions

film thickness
4L
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: 4-layer (4L) film; n,k 0.193–1.69 µm: n and k versus wavelength
λ (µm)nk
0.1930.9113681.448455
0.1940.903831.457399
0.1950.8966011.466776
0.1960.8896871.476566
0.1970.8830941.486749
0.1980.8768281.497305
0.1990.8708921.508214
0.20.865291.519459
0.2010.8600231.531019
0.2020.8550951.542877
0.2030.8505041.555014
0.2040.8462531.567414
0.2050.842341.58006
0.2060.8387641.592936
0.2070.8355251.606026
0.2080.8326191.619315
0.2090.8300461.632789
0.210.8278011.646433
0.2110.8258821.660235
0.2120.8242871.674182
0.2130.823011.688262
0.2140.8220491.702463
0.2150.8213991.716773
0.2160.8210561.731184
0.2170.8210171.745683
0.2180.8212771.760263
0.2190.8218321.774913
0.220.8226771.789626
0.2210.8238081.804392
0.2220.8252211.819204
0.2230.8269111.834055
0.2240.8288751.848937
0.2250.8311071.863843
0.2260.8336041.878768
0.2270.8363621.893703
0.2280.8393761.908645
0.2290.8426421.923587
0.230.8461571.938523
0.2310.8499161.953448
0.2320.8539171.968358
0.2330.8581541.983247
0.2340.8626251.99811
0.2350.8673252.012944
0.2360.8722522.027743
0.2370.8774022.042503
0.2380.8827712.057221
0.2390.8883562.071891
0.240.8941542.086512
0.2410.9001622.101077
0.2420.9063762.115584
0.2430.9127942.130029
0.2440.9194122.144409
0.2450.9262272.158719
0.2460.9332362.172956
0.2470.9404372.187118
0.2480.9478262.2012
0.2490.95542.215199
0.250.9631562.229113
0.2510.9710922.242937
0.2520.9792042.256669
0.2530.987492.270305
0.2540.9959462.283842
0.2551.004572.297278
0.2561.0133592.310609
0.2571.0223092.323831
0.2581.0314172.336943
0.2591.0406812.349941
0.261.0500972.362822
0.2611.0596622.375584
0.2621.0693732.388223
0.2631.0792272.400736
0.2641.089222.413122
0.2651.0993492.425376
0.2661.109612.437497
0.2671.1200012.449482
0.2681.1305172.461328
0.2691.1411552.473032
0.271.1519112.484593
0.2711.1627822.496008
0.2721.1737632.507274
0.2731.1848512.518389
0.2741.1960412.529351
0.2751.207332.540157
0.2761.2187142.550807
0.2771.2301882.561297
0.2781.2417472.571627
0.2791.2533882.581793
0.281.2651062.591796
0.2811.2768972.601632
0.2821.2887552.611301
0.2831.3006772.620802
0.2841.3126572.630133
0.2851.3246912.639293
0.2861.3367742.648282
0.2871.3489012.657099
0.2881.3610662.665743
0.2891.3732652.674214
0.291.3854942.682511
0.2911.3977452.690635
0.2921.4100162.698586
0.2931.42232.706364
0.2941.4345922.71397
0.2951.4468872.721403
0.2961.459182.728666
0.2971.4714662.735759
0.2981.4837392.742683
0.2991.4959952.74944
0.31.5082282.756032
0.3011.5204342.76246
0.3021.5326062.768726
0.3031.5447422.774834
0.3041.5568352.780784
0.3051.568882.78658
0.3061.5808742.792225
0.3071.5928122.797722
0.3081.6046892.803074
0.3091.61652.808284
0.311.6282432.813357
0.3111.6399122.818295
0.3121.6515042.823103
0.3131.6630152.827786
0.3141.6744422.832346
0.3151.6857812.83679
0.3161.697032.841121
0.3171.7081852.845344
0.3181.7192432.849464
0.3191.7302022.853486
0.321.7410612.857415
0.3211.7518162.861256
0.3221.7624652.865014
0.3231.7730092.868695
0.3241.7834442.872304
0.3251.7937712.875847
0.3261.8039872.879328
0.3271.8140932.882754
0.3281.8240882.886129
0.3291.8339732.88946
0.331.8437462.892751
0.3311.853412.896008
0.3321.8629632.899237
0.3331.8724092.902443
0.3341.8817462.90563
0.3351.8909782.908804
0.3361.9001042.91197
0.3371.9091292.915133
0.3381.9180522.918298
0.3391.9268772.921469
0.341.9356072.924651
0.3411.9442422.927849
0.3421.9527882.931066
0.3431.9612462.934306
0.3441.969622.937574
0.3451.9779132.940873
0.3461.9861282.944207
0.3471.994272.947579
0.3482.0023422.950992
0.3492.0103472.954449
0.352.0182912.957952
0.3512.0261762.961505
0.3522.0340072.965109
0.3532.0417882.968767
0.3542.0495232.97248
0.3552.0572162.97625
0.3562.0648732.980079
0.3572.0724972.983967
0.3582.0800922.987916
0.3592.0876622.991926
0.362.0952132.995997
0.3612.1027483.000132
0.3622.1102723.004328
0.3632.1177893.008587
0.3642.1253023.012908
0.3652.1328163.017291
0.3662.1403353.021735
0.3672.1478633.026239
0.3682.1554043.030803
0.3692.1629623.035425
0.372.1705393.040104
0.3712.178143.044839
0.3722.1857683.049628
0.3732.1934263.054469
0.3742.2011183.059361
0.3752.2088473.064302
0.3762.2166153.069289
0.3772.2244263.074321
0.3782.2322813.079395
0.3792.2401853.08451
0.382.2481383.089662
0.3812.2561443.094849
0.3822.2642043.10007
0.3832.272323.10532
0.3842.2804953.110598
0.3852.2887293.115901
0.3862.2970263.121226
0.3872.3053853.126571
0.3882.3138083.131932
0.3892.3222973.137308
0.392.3308533.142695
0.3912.3394763.14809
0.3922.3481673.153492
0.3932.3569283.158897
0.3942.3657573.164302
0.3952.3746573.169704
0.3962.3836273.175102
0.3972.3926673.180492
0.3982.4017783.185873
0.3992.4109593.19124
0.42.4202113.196592
0.4012.4295333.201926
0.4022.4389253.20724
0.4032.4483873.212531
0.4042.4579183.217798
0.4052.4675173.223037
0.4062.4771843.228246
0.4072.4869183.233424
0.4082.4967193.238569
0.4092.5065863.243677
0.412.5165173.248748
0.4112.5265123.253779
0.4122.536573.258768
0.4132.5466893.263714
0.4142.5568693.268615
0.4152.5671093.273469
0.4162.5774073.278275
0.4172.5877623.283031
0.4182.5981723.287736
0.4192.6086383.292388
0.422.6191563.296986
0.4212.6297263.301529
0.4222.6403473.306015
0.4232.6510173.310443
0.4242.6617353.314814
0.4252.6724983.319124
0.4262.6833073.323374
0.4272.694163.327562
0.4282.7050543.331688
0.4292.7159893.335752
0.432.7269633.339751
0.4312.7379753.343686
0.4322.7490233.347556
0.4332.7601063.351361
0.4342.7712223.355101
0.4352.7823713.358773
0.4362.793553.36238
0.4372.8047583.365919
0.4382.8159953.369391
0.4392.8272573.372796
0.442.8385453.376133
0.4412.8498573.379403
0.4422.8611923.382605
0.4432.8725473.385739
0.4442.8839233.388805
0.4452.8953183.391804
0.4462.906733.394735
0.4472.9181583.397599
0.4482.9296023.400395
0.4492.941063.403125
0.452.952533.405787
0.4512.9640133.408383
0.4522.9755063.410913
0.4532.987013.413376
0.4542.9985213.415774
0.4553.0100413.418107
0.4563.0215683.420374
0.4573.0331013.422577
0.4583.0446393.424717
0.4593.056183.426792
0.463.0677263.428804
0.4613.0792743.430754
0.4623.0908243.432642
0.4633.1023763.434468
0.4643.1139273.436232
0.4653.1254793.437937
0.4663.137033.439581
0.4673.1485793.441166
0.4683.1601273.442692
0.4693.1716723.444159
0.473.1832143.445569
0.4713.1947533.446922
0.4723.2062883.448218
0.4733.2178193.449458
0.4743.2293453.450643
0.4753.2408663.451773
0.4763.2523823.452849
0.4773.2638923.453872
0.4783.2753973.454841
0.4793.2868953.455758
0.483.2983883.456623
0.4813.3098743.457436
0.4823.3213533.458199
0.4833.3328263.458912
0.4843.3442923.459575
0.4853.3557523.460189
0.4863.3672053.460754
0.4873.3786513.461271
0.4883.390093.46174
0.4893.4015233.462162
0.493.4129493.462538
0.4913.4243683.462867
0.4923.4357813.46315
0.4933.4471883.463388
0.4943.4585893.463581
0.4953.4699833.463729
0.4963.4813723.463832
0.4973.4927563.463892
0.4983.5041343.463908
0.4993.5155073.46388
0.53.5268753.463809
0.5013.5382393.463695
0.5023.5495993.463539
0.5033.5609543.46334
0.5043.5723063.463098
0.5053.5836553.462814
0.5063.5950013.462488
0.5073.6063443.46212
0.5083.6176853.46171
0.5093.6290243.461258
0.513.6403623.460763
0.5113.6516983.460227
0.5123.6630343.459649
0.5133.6743693.459028
0.5143.6857043.458365
0.5153.697043.45766
0.5163.7083763.456912
0.5173.7197133.456121
0.5183.7310523.455287
0.5193.7423933.454409
0.523.7537353.453488
0.5213.765083.452523
0.5223.7764293.451514
0.5233.787783.45046
0.5243.7991353.449361
0.5253.8104933.448216
0.5263.8218563.447025
0.5273.8332233.445788
0.5283.8445953.444503
0.5293.8559713.443171
0.533.8673533.441791
0.5313.878743.440362
0.5323.8901323.438884
0.5333.901533.437355
0.5343.9129343.435776
0.5353.9243433.434145
0.5363.9357593.432462
0.5373.947183.430726
0.5383.9586083.428936
0.5393.9700413.427092
0.543.9814813.425192
0.5413.9929263.423236
0.5424.0043783.421223
0.5434.0158353.419152
0.5444.0272973.417023
0.5454.0387653.414834
0.5464.0502383.412584
0.5474.0617163.410273
0.5484.0731983.407899
0.5494.0846843.405462
0.554.0961743.402961
0.5514.1076673.400394
0.5524.1191633.397762
0.5534.1306623.395062
0.5544.1421623.392295
0.5554.1536633.389458
0.5564.1651643.386551
0.5574.1766663.383574
0.5584.1881673.380525
0.5594.1996653.377403
0.564.2111623.374207
0.5614.2226553.370937
0.5624.2341443.367592
0.5634.2456273.36417
0.5644.2571043.360671
0.5654.2685743.357094
0.5664.2800363.353439
0.5674.2914893.349704
0.5684.302933.345888
0.5694.314363.341992
0.574.3257783.338014
0.5714.3371813.333953
0.5724.3485683.32981
0.5734.3599393.325583
0.5744.3712913.321271
0.5754.3826243.316875
0.5764.3939353.312394
0.5774.4052243.307826
0.5784.4164893.303173
0.5794.4277293.298433
0.584.4389413.293606
0.5814.4501253.288692
0.5824.4612793.283691
0.5834.47243.278602
0.5844.4834883.273425
0.5854.4945413.26816
0.5864.5055573.262808
0.5874.5165353.257368
0.5884.5274723.251839
0.5894.5383673.246223
0.594.5492193.24052
0.5914.5600253.234729
0.5924.5707843.228851
0.5934.5814943.222886
0.5944.5921543.216835
0.5954.6027613.210698
0.5964.6133153.204475
0.5974.6238123.198168
0.5984.6342523.191776
0.5994.6446333.1853
0.64.6549543.178741
0.6014.6652113.1721
0.6024.6754053.165377
0.6034.6855323.158574
0.6044.6955933.151691
0.6054.7055843.144729
0.6064.7155053.13769
0.6074.7253533.130574
0.6084.7351283.123381
0.6094.7448283.116115
0.614.7544513.108775
0.6114.7639973.101363
0.6124.7734623.093881
0.6134.7828483.086328
0.6144.7921513.078708
0.6154.801373.07102
0.6164.8105053.063268
0.6174.8195553.055451
0.6184.8285173.047572
0.6194.8373923.039633
0.624.8461773.031633
0.6214.8548723.023576
0.6224.8634763.015463
0.6234.8719883.007296
0.6244.8804072.999075
0.6254.8887322.990803
0.6264.8969632.982482
0.6274.9050982.974113
0.6284.9131372.965698
0.6294.921082.957238
0.634.9289252.948736
0.6314.9366732.940193
0.6324.9443222.931611
0.6334.9518722.922992
0.6344.9593242.914337
0.6354.9666752.905648
0.6364.9739272.896928
0.6374.9810792.888177
0.6384.988132.879398
0.6394.9950812.870593
0.645.0019312.861763
0.6415.008682.852909
0.6425.0153292.844035
0.6435.0218772.83514
0.6445.0283242.826229
0.6455.0346712.817301
0.6465.0409172.808358
0.6475.0470632.799404
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0.6495.0590562.781463
0.655.0649022.772481
0.6515.070652.763492
0.6525.0762992.7545
0.6535.081852.745504
0.6545.0873022.736508
0.6555.0926582.727512
0.6565.0979162.718518
0.6575.1030782.709528
0.6585.1081452.700542
0.6595.1131162.691563
0.665.1179932.682592
0.6615.1227762.67363
0.6625.1274652.66468
0.6635.1320632.655741
0.6645.1365682.646815
0.6655.1409832.637905
0.6665.1453072.62901
0.6675.1495422.620133
0.6685.1536892.611274
0.6695.1577482.602435
0.675.161722.593617
0.6715.1656062.584821
0.6725.1694082.576048
0.6735.1731252.567299
0.6745.1767592.558576
0.6755.180312.549879
0.6765.1837812.54121
0.6775.1871712.532568
0.6785.1904822.523956
0.6795.1937142.515374
0.685.1968692.506824
0.6815.1999482.498305
0.6825.2029512.489819
0.6835.205882.481366
0.6845.2087362.472948
0.6855.211522.464565
0.6865.2142322.456218
0.6875.2168752.447908
0.6885.2194482.439634
0.6895.2219532.431399
0.695.2243912.423202
0.6915.2267632.415044
0.6925.2290712.406926
0.6935.2313142.398848
0.6945.2334952.390811
0.6955.2356142.382815
0.6965.2376722.37486
0.6975.239672.366948
0.6985.241612.359079
0.6995.2434932.351252
0.75.2453192.343469
0.7015.2470892.33573
0.7025.2488052.328034
0.7035.2504682.320383
0.7045.2520792.312777
0.7055.2536382.305216
0.7065.2551472.2977
0.7075.2566062.29023
0.7085.2580172.282805
0.7095.2593812.275426
0.715.2606992.268094
0.7115.2619722.260807
0.7125.26322.253567
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0.7145.2655272.239227
0.7155.2666282.232127
0.7165.2676892.225074
0.7175.268712.218068
0.7185.2696932.211108
0.7195.2706382.204196
0.725.2715462.197331
0.7215.2724192.190512
0.7225.2732572.183741
0.7235.2740612.177017
0.7245.2748322.170339
0.7255.2755712.163709
0.7265.2762782.157125
0.7275.2769552.150588
0.7285.2776032.144097
0.7295.2782222.137653
0.735.2788132.131256
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0.925.3204871.352564
0.9215.3203081.349092
0.9225.3201151.345624
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0.9275.3189361.328374
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0.9315.3177361.314691
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0.9435.3127621.274405
0.9445.3122551.271107
0.9455.3117351.267819
0.9465.31121.264541
0.9475.3106511.261274
0.9485.3100891.258017
0.9495.3095131.254771
0.955.3089231.251537
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0.965.3022841.219839
0.9615.3015491.216738
0.9625.30081.213651
0.9635.3000391.210577
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0.9665.2976811.201439
0.9675.2968711.198421
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0.9715.2935091.186495
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0.9965.268691.117885
0.9975.2675821.115375
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0.9995.2653451.110416
1.05.2642161.107966
1.00255.2613661.101929
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1.01755.2436441.068499
1.025.240631.063416
1.02255.2376111.058479
1.0255.2345951.053691
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1.055.2062141.014311
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1.0555.2014011.008297
1.05755.1991751.00551
1.065.1970841.002862
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1.06755.1917580.995676
1.075.1903410.9935
1.07255.1891240.991414
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1.15.1911950.968707
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1.125.2078160.940197
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1.135.2167180.919023
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1.2355.1432010.659498
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1.35.0521570.571613
1.30255.0488030.56898
1.3055.0454620.566391
1.30755.0421340.563844
1.315.0388190.56134
1.31255.0355170.558877
1.3155.0322290.556454
1.31755.0289520.554071
1.325.0256890.551727
1.32255.0224390.549422
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1.32755.0159760.544923
1.335.0127630.54273
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1.33755.0031990.536362
1.345.0000350.53431
1.34254.9968840.532291
1.3454.9937440.530307
1.34754.9906160.528355
1.354.98750.526437
1.35254.9843960.524551
1.3554.9813040.522698
1.35754.9782220.520876
1.364.9751530.519086
1.36254.9720950.517328
1.3654.9690480.5156
1.36754.9660120.513904
1.374.9629880.512238
1.37254.9599750.510603
1.3754.9569730.508998
1.37754.9539810.507423
1.384.9510010.505878
1.38254.9480320.504363
1.3854.9450740.502878
1.38754.9421270.501422
1.394.939190.499996
1.39254.9362650.498599
1.3954.9333510.497231
1.39754.9304470.495893
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1.40254.9246730.493303
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1.40754.9189440.490831
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1.41254.9132590.488474
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1.41754.907620.486235
1.424.9048180.485159
1.42254.9020280.484112
1.4254.899250.483095
1.42754.8964830.482107
1.434.8937290.481148
1.43254.8909880.480219
1.4354.8882590.479319
1.43754.8855430.47845
1.444.8828410.47761
1.44254.8801520.4768
1.4454.8774760.47602
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1.454.8721680.474551
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1.464.8617330.471977
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1.664.7735640.473573
1.66254.7739960.47251
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1.674.7752030.468937
1.67254.7755650.467624
1.6754.7759030.466253
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1.684.7764950.463342
1.68254.7767440.461807
1.6854.7769580.460223
1.68754.7771370.45859
1.694.7772770.456912

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
—