Optical constants

Refractive index of Bi2Se3 (Bismuth selenide)

Fang et al. 2020: 2-layer (2L) 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
4.12903
Extinction coefficient k
2.06791
Permittivity ε1
12.7727
Permittivity ε2
17.077
Absorption coefficient α
442242 cm⁻¹
Penetration depth δ = λ/(2πk)
45.2241 nm
Abbe number Vd
—
Chromatic dispersion dn/dλ
4.762 µm⁻¹
Group index ng
1.33088
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: 2-layer (2L) film; n,k 0.193–1.69 µm
bi2se3 = ls.fetch_refractiveindex("main", "Bi2Se3", "Fang-2L", 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

2-layer, 2L

Conditions

film thickness
2L
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: 2-layer (2L) film; n,k 0.193–1.69 µm: n and k versus wavelength
λ (µm)nk
0.1930.9093051.429264
0.1940.8988251.461199
0.1950.8918881.486854
0.1960.8871511.50816
0.1970.8838111.526388
0.1980.881371.542406
0.1990.8795091.556831
0.20.8780241.570116
0.2010.8767851.582598
0.2020.8757091.594534
0.2030.8747511.606123
0.2040.8738881.617519
0.2050.8731121.628842
0.2060.8724321.640184
0.2070.871861.651617
0.2080.8714171.663195
0.2090.8711251.674957
0.210.871011.686932
0.2110.8710971.699135
0.2120.8714111.711577
0.2130.8719771.72426
0.2140.8728161.737181
0.2150.8739491.750331
0.2160.8753951.763699
0.2170.8771691.77727
0.2180.8792861.791028
0.2190.8817561.804955
0.220.8845881.81903
0.2210.8877881.833234
0.2220.8913611.847545
0.2230.895311.861945
0.2240.8996341.876411
0.2250.9043331.890925
0.2260.9094041.905467
0.2270.9148431.920019
0.2280.9206461.934563
0.2290.9268061.949083
0.230.9333161.963563
0.2310.9401691.977987
0.2320.9473581.992343
0.2330.9548722.006617
0.2340.9627052.020798
0.2350.9708462.034873
0.2360.9792872.048834
0.2370.9880182.062669
0.2380.9970312.076372
0.2391.0063142.089934
0.241.015862.103347
0.2411.0256592.116604
0.2421.0357032.129701
0.2431.0459812.14263
0.2441.0564862.155387
0.2451.0672092.167967
0.2461.0781422.180365
0.2471.0892752.192579
0.2481.1006022.204603
0.2491.1121132.216435
0.251.1238022.228072
0.2511.1356612.239511
0.2521.1476822.250749
0.2531.1598572.261785
0.2541.1721812.272615
0.2551.1846452.283238
0.2561.1972422.293652
0.2571.2099672.303855
0.2581.2228112.313846
0.2591.2357692.323624
0.261.2488332.333187
0.2611.2619972.342534
0.2621.2752552.351664
0.2631.2885992.360577
0.2641.3020252.369272
0.2651.3155252.377748
0.2661.3290922.386004
0.2671.3427212.394041
0.2681.3564062.401859
0.2691.3701392.409457
0.271.3839162.416835
0.2711.3977292.423994
0.2721.4115722.430934
0.2731.425442.437657
0.2741.4393252.444161
0.2751.4532232.45045
0.2761.4671272.456523
0.2771.481032.462382
0.2781.4949272.468028
0.2791.5088122.473463
0.281.5226792.478689
0.2811.5365232.483707
0.2821.5503362.488521
0.2831.5641142.493132
0.2841.5778512.497543
0.2851.5915422.501756
0.2861.605182.505775
0.2871.6187612.509603
0.2881.6322792.513243
0.2891.645732.516698
0.291.6591082.519972
0.2911.6724082.523069
0.2921.6856262.525994
0.2931.6987572.528749
0.2941.7117962.53134
0.2951.724742.533772
0.2961.7375852.536048
0.2971.7503262.538174
0.2981.7629612.540154
0.2991.7754852.541995
0.31.7878952.5437
0.3011.800192.545276
0.3021.8123642.546727
0.3031.8244172.54806
0.3041.8363462.54928
0.3051.8481482.550392
0.3061.8598222.551403
0.3071.8713672.552318
0.3081.8827812.553144
0.3091.8940642.553885
0.311.9052132.554548
0.3111.916232.555138
0.3121.9271132.555663
0.3131.9378622.556126
0.3141.9484792.556535
0.3151.9589622.556895
0.3161.9693132.557211
0.3171.9795342.55749
0.3181.9896242.557737
0.3191.9995872.557957
0.322.0094222.558155
0.3212.0191332.558337
0.3222.0287212.558508
0.3232.0381882.558673
0.3242.0475382.558836
0.3252.0567732.559002
0.3262.0658952.559176
0.3272.0749082.559363
0.3282.0838152.559565
0.3292.092622.559787
0.332.1013252.560033
0.3312.1099362.560306
0.3322.1184542.56061
0.3332.1268852.560947
0.3342.1352322.561321
0.3352.1434992.561735
0.3362.151692.56219
0.3372.159812.562689
0.3382.1678632.563234
0.3392.1758532.563828
0.342.1837852.56447
0.3412.1916622.565164
0.3422.199492.565909
0.3432.2072712.566708
0.3442.2150122.56756
0.3452.2227162.568467
0.3462.2303862.569429
0.3472.2380292.570445
0.3482.2456472.571516
0.3492.2532452.572641
0.352.2608272.573821
0.3512.2683972.575054
0.3522.2759582.57634
0.3532.2835152.577677
0.3542.2910712.579066
0.3552.298632.580503
0.3562.3061952.581989
0.3572.3137692.583521
0.3582.3213572.585099
0.3592.328962.586719
0.362.3365822.588381
0.3612.3442272.590082
0.3622.3518962.59182
0.3632.3595922.593593
0.3642.3673172.595399
0.3652.3750752.597235
0.3662.3828662.5991
0.3672.3906942.60099
0.3682.398562.602903
0.3692.4064662.604836
0.372.4144142.606788
0.3712.4224042.608755
0.3722.4304392.610734
0.3732.438522.612723
0.3742.4466472.61472
0.3752.4548222.616721
0.3762.4630452.618725
0.3772.4713182.620727
0.3782.479642.622726
0.3792.4880132.624719
0.382.4964362.626704
0.3812.504912.628677
0.3822.5134352.630636
0.3832.5220112.632579
0.3842.5306382.634503
0.3852.5393152.636406
0.3862.5480432.638285
0.3872.5568212.640138
0.3882.5656492.641962
0.3892.5745252.643756
0.392.583452.645517
0.3912.5924222.647242
0.3922.6014422.648931
0.3932.6105072.65058
0.3942.6196172.652188
0.3952.6287712.653753
0.3962.6379682.655273
0.3972.6472082.656747
0.3982.6564882.658172
0.3992.6658072.659547
0.42.6751652.66087
0.4012.6845592.66214
0.4022.6939892.663355
0.4032.7034542.664515
0.4042.7129512.665617
0.4052.722482.666661
0.4062.7320392.667645
0.4072.7416272.668569
0.4082.7512412.66943
0.4092.7608812.670229
0.412.7705452.670964
0.4112.7802322.671635
0.4122.7899392.67224
0.4132.7996662.67278
0.4142.809412.673253
0.4152.8191712.673658
0.4162.8289472.673996
0.4172.8387352.674266
0.4182.8485362.674467
0.4192.8583462.674599
0.422.8681652.674661
0.4212.8779912.674655
0.4222.8878222.674578
0.4232.8976582.674431
0.4242.9074962.674215
0.4252.9173342.673928
0.4262.9271732.673572
0.4272.9370092.673145
0.4282.9468422.672649
0.4292.956672.672083
0.432.9664932.671447
0.4312.9763072.670742
0.4322.9861132.669968
0.4332.9959092.669125
0.4343.0056932.668213
0.4353.0154652.667233
0.4363.0252222.666186
0.4373.0349642.665071
0.4383.044692.663889
0.4393.0543992.662641
0.443.0640892.661327
0.4413.0737592.659948
0.4423.0834082.658504
0.4433.0930352.656996
0.4443.102642.655424
0.4453.112222.653789
0.4463.1217762.652092
0.4473.1313052.650334
0.4483.1408082.648514
0.4493.1502842.646635
0.453.1597312.644695
0.4513.1691482.642697
0.4523.1785362.640642
0.4533.1878932.638529
0.4543.1972182.636359
0.4553.2065112.634134
0.4563.2157722.631854
0.4573.2249992.62952
0.4583.2341912.627133
0.4593.2433492.624693
0.463.2524722.622202
0.4613.2615592.61966
0.4623.2706092.617068
0.4633.2796232.614427
0.4643.28862.611738
0.4653.2975392.609002
0.4663.3064412.606219
0.4673.3153042.60339
0.4683.3241292.600517
0.4693.3329142.597599
0.473.3416612.594638
0.4713.3503682.591636
0.4723.3590362.588591
0.4733.3676632.585506
0.4743.3762512.582381
0.4753.3847992.579217
0.4763.3933062.576014
0.4773.4017732.572774
0.4783.41022.569498
0.4793.4185862.566185
0.483.4269322.562838
0.4813.4352382.559456
0.4823.4435032.55604
0.4833.4517272.552592
0.4843.4599112.549111
0.4853.4680552.545599
0.4863.4761592.542056
0.4873.4842232.538484
0.4883.4922472.534881
0.4893.5002312.53125
0.493.5081752.527591
0.4913.516082.523905
0.4923.5239462.520191
0.4933.5317732.516452
0.4943.5395612.512686
0.4953.5473112.508895
0.4963.5550222.50508
0.4973.5626952.501241
0.4983.5703312.497378
0.4993.5779292.493491
0.53.585492.489583
0.5013.5930142.485652
0.5023.6005022.481699
0.5033.6079532.477725
0.5043.6153692.473729
0.5053.6227492.469714
0.5063.6300942.465677
0.5073.6374042.461621
0.5083.644682.457546
0.5093.6519222.45345
0.513.659132.449336
0.5113.6663042.445203
0.5123.6734462.441051
0.5133.6805552.43688
0.5143.6876322.432691
0.5153.6946762.428484
0.5163.701692.424259
0.5173.7086722.420016
0.5183.7156232.415756
0.5193.7225432.411477
0.523.7294342.407181
0.5213.7362942.402867
0.5223.7431252.398536
0.5233.7499272.394187
0.5243.75672.38982
0.5253.7634442.385435
0.5263.770162.381033
0.5273.7768482.376613
0.5283.7835082.372175
0.5293.790142.367718
0.533.7967452.363244
0.5313.8033232.358751
0.5323.8098742.35424
0.5333.8163982.34971
0.5343.8228962.345161
0.5353.8293672.340593
0.5363.8358122.336006
0.5373.842232.331399
0.5383.8486232.326773
0.5393.854992.322127
0.543.861332.31746
0.5413.8676452.312773
0.5423.8739342.308066
0.5433.8801972.303337
0.5443.8864342.298587
0.5453.8926442.293816
0.5463.8988292.289023
0.5473.9049872.284208
0.5483.911122.279371
0.5493.9172252.274511
0.553.9233042.269628
0.5513.9293572.264722
0.5523.9353822.259793
0.5533.941382.25484
0.5543.947352.249863
0.5553.9532932.244862
0.5563.9592072.239837
0.5573.9650932.234787
0.5583.9709512.229712
0.5593.9767792.224612
0.563.9825772.219487
0.5613.9883462.214337
0.5623.9940852.209161
0.5633.9997922.20396
0.5644.0054692.198733
0.5654.0111132.193479
0.5664.0167262.1882
0.5674.0223062.182895
0.5684.0278522.177564
0.5694.0333652.172206
0.574.0388442.166822
0.5714.0442882.161413
0.5724.0496962.155977
0.5734.0550692.150515
0.5744.0604052.145027
0.5754.0657042.139513
0.5764.0709652.133974
0.5774.0761872.128409
0.5784.0813712.122819
0.5794.0865152.117204
0.584.091622.111563
0.5814.0966832.105898
0.5824.1017062.100209
0.5834.1066862.094496
0.5844.1116232.088758
0.5854.1165182.082998
0.5864.1213692.077215
0.5874.1261762.071409
0.5884.1309382.065581
0.5894.1356542.059731
0.594.1403252.05386
0.5914.1449492.047968
0.5924.1495262.042057
0.5934.1540552.036125
0.5944.1585372.030175
0.5954.162972.024206
0.5964.1673542.01822
0.5974.1716882.012216
0.5984.1759732.006196
0.5994.1802082.00016
0.64.1843921.994108
0.6014.1885241.988043
0.6024.1926061.981963
0.6034.1966361.975871
0.6044.2006131.969766
0.6054.2045391.96365
0.6064.2084121.957523
0.6074.2122321.951386
0.6084.2159991.94524
0.6094.2197131.939086
0.614.2233731.932924
0.6114.226981.926755
0.6124.2305341.92058
0.6134.2340331.9144
0.6144.2374791.908216
0.6154.240871.902028
0.6164.2442081.895838
0.6174.2474921.889646
0.6184.2507231.883453
0.6194.2538991.877259
0.624.2570211.871067
0.6214.260091.864876
0.6224.2631051.858687
0.6234.2660661.852501
0.6244.2689751.846319
0.6254.271831.840142
0.6264.2746331.83397
0.6274.2773821.827805
0.6284.2800791.821646
0.6294.2827241.815496
0.634.2853171.809354
0.6314.2878591.803221
0.6324.2903491.797099
0.6334.2927881.790987
0.6344.2951771.784887
0.6354.2975151.778799
0.6364.2998041.772724
0.6374.3020431.766663
0.6384.3042331.760615
0.6394.3063751.754583
0.644.3084681.748567
0.6414.3105141.742566
0.6424.3125121.736582
0.6434.3144641.730615
0.6444.316371.724667
0.6454.318231.718737
0.6464.3200441.712826
0.6474.3218141.706934
0.6484.323541.701063
0.6494.3252231.695212
0.654.3268621.689382
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0.6524.3300141.677787
0.6534.3315271.672023
0.6544.3331.666282
0.6554.3344331.660564
0.6564.3358261.654869
0.6574.337181.649199
0.6584.3384961.643552
0.6594.3397741.637931
0.664.3410141.632334
0.6614.3422191.626762
0.6624.3433871.621216
0.6634.344521.615696
0.6644.3456171.610202
0.6654.3466811.604734
0.6664.3477121.599293
0.6674.3487091.593878
0.6684.3496741.58849
0.6694.3506081.583129
0.674.351511.577795
0.6714.3523821.572489
0.6724.3532241.56721
0.6734.3540361.561959
0.6744.354821.556736
0.6754.3555761.55154
0.6764.3563041.546373
0.6774.3570051.541233
0.6784.357681.536122
0.6794.3583291.531038
0.684.3589531.525983
0.6814.3595521.520955
0.6824.3601271.515956
0.6834.3606781.510985
0.6844.3612071.506042
0.6854.3617131.501127
0.6864.3621971.49624
0.6874.3626591.491382
0.6884.3631011.486551
0.6894.3635231.481747
0.694.3639241.476972
0.6914.3643061.472225
0.6924.364671.467505
0.6934.3650151.462812
0.6944.3653421.458147
0.6954.3656521.453509
0.6964.3659441.448898
0.6974.3662211.444314
0.6984.3664811.439757
0.6994.3667261.435226
0.74.3669551.430722
0.7014.367171.426245
0.7024.367371.421793
0.7034.3675571.417368
0.7044.367731.412968
0.7054.367891.408594
0.7064.3680371.404245
0.7074.3681721.399921
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0.7094.3684051.391349
0.714.3685051.387099
0.7114.3685941.382874
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0.7144.3687971.370342
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0.7174.3689131.358021
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0.7194.3689461.34992
0.724.3689491.345903
0.7214.3689451.341907
0.7224.3689321.337934
0.7234.3689121.333981
0.7244.3688841.33005
0.7254.3688491.32614
0.7264.3688071.32225
0.7274.3687581.318381
0.7284.3687031.314532
0.7294.3686411.310702
0.734.3685731.306892
0.7314.3684981.303102
0.7324.3684171.29933
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0.854.3197430.951728
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0.874.3051360.912963
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0.8824.2970080.893123
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0.894.2922150.881243
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0.924.2819530.843852
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0.9314.2821490.831341
0.9324.2822790.830187
0.9334.2824280.829028
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0.9414.2842410.819482
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0.9464.285890.813177
0.9474.2862620.811877
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0.954.2874530.80789
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0.9544.2891940.802353
0.9554.2896530.800926
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0.9714.297640.775569
0.9724.2981430.77382
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0.9974.3079360.724457
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0.9994.3083570.720133
1.04.3085420.717957
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1.0154.3091630.684545
1.01754.3088640.678904
1.024.308450.673262
1.02254.3079230.667626
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1.314.0508380.32856
1.31254.0487230.327372
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1.324.0424110.323905
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1.334.0340760.319502
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1.37753.9955820.301868
1.383.9936010.301087
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1.663.8394280.334222
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1.6753.8442730.339618
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1.683.8463570.340961
1.68253.8474750.341533
1.6853.848640.342033
1.68753.8498470.342461
1.693.8510940.342813

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
—