Optical constants

Refractive index of In2O3-SnO2 (Indium tin oxide, ITO)

Minenkov et al. 2024: on Si wafer, top; n,k 0.191–1.69 µm

Data
tabulated nk
Range
0.1915–1.689 µm
Points
706
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.1915–1.689 µm
Refractive index n
1.87332
Extinction coefficient k
0.0095375
Permittivity ε1
3.50924
Permittivity ε2
0.0357336
Absorption coefficient α
2039.68 cm⁻¹
Penetration depth δ = λ/(2πk)
9805.45 nm
Abbe number Vd
—
Chromatic dispersion dn/dλ
-0.75625 µm⁻¹
Group index ng
2.31769
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

# In2O3-SnO2 (Indium tin oxide, ITO): Minenkov et al. 2024: on Si wafer, top; n,k 0.191–1.69 µm
in2o3_sno2 = ls.fetch_refractiveindex("other", "In2O3-SnO2", "Minenkov-wafer-top", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(in2o3_sno2.range_nm)  # (191.46, 1688.69) nm
eps = in2o3_sno2.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

88 nm thick sputter-coated, graded ITO layer on a SiO2-Si wafer. Top part of the layer.

Conditions

film thickness
88e-9
substrate
SiO2/Si

References

A. Minenkov, S. Hollweger, J. Duchoslav, O. Erdene-Ochir, M. Weise, E. Ermilova, A. Hertwig, M. Schiek. Monitoring the electrochemical failure of indium tin oxide electrodes via operando ellipsometry. ACS Appl Mater Interfaces 16, 9517-9531 (2024) (Numerical data kindly provided by Manuela Schiek)
  • doi:10.1021/acsami.3c17923 Monitoring the Electrochemical Failure of Indium Tin Oxide Electrodes via Operando Ellipsometry Complemented by Electron Microscopy and Spectroscopy, ACS Applied Materials & Interfaces (2024)

Cite

Alexey Minenkov et al.. Monitoring the Electrochemical Failure of Indium Tin Oxide Electrodes via Operando Ellipsometry Complemented by Electron Microscopy and Spectroscopy. ACS Applied Materials & Interfaces, 16, 9517-9531 (2024), doi:10.1021/acsami.3c17923; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

706 rows as published
In2O3-SnO2 (Indium tin oxide, ITO), Minenkov et al. 2024: on Si wafer, top; n,k 0.191–1.69 µm: n and k versus wavelength
λ (µm)nk
0.191462.123050.61165
0.193052.125620.62636
0.194652.130530.63792
0.196252.137130.64653
0.197842.144860.65244
0.199442.153280.65588
0.201042.1620.65713
0.202632.170710.65645
0.204232.179170.65412
0.205832.18720.65039
0.207422.194640.64551
0.209022.20140.63974
0.210622.207410.63331
0.212222.212660.62642
0.213812.217130.61928
0.215412.220870.61209
0.217012.223910.60501
0.21862.226340.5982
0.22022.228250.59179
0.22182.229750.5859
0.22342.230970.58062
0.224992.232050.57602
0.226592.233160.57216
0.228192.234450.56905
0.229792.236090.56668
0.231392.238280.56501
0.232982.241170.56395
0.234582.244930.5634
0.236182.24970.56319
0.237782.255610.56315
0.239382.262750.56304
0.240972.271150.56263
0.242572.28080.56165
0.244172.291640.55983
0.245772.303550.55692
0.247372.316330.55267
0.248972.329760.54691
0.250572.343540.53947
0.252162.357380.5303
0.253762.370950.51938
0.255362.383950.50676
0.256962.396090.49258
0.258562.407120.47701
0.260162.416840.46026
0.261762.425110.4426
0.263362.431850.42426
0.264962.437010.4055
0.266562.440630.38656
0.268152.442750.36766
0.269752.443450.34897
0.271352.442840.33067
0.272952.441050.31288
0.274552.438190.29569
0.276152.434410.27918
0.277752.429810.26339
0.279352.424520.24837
0.280952.418650.2341
0.282552.41230.2206
0.284152.405560.20786
0.285752.398510.19585
0.287352.391220.18455
0.288952.383750.17393
0.290552.376170.16395
0.292152.36850.15459
0.293752.36080.14581
0.295352.35310.13758
0.296952.345420.12986
0.298552.337790.12263
0.300152.330230.11584
0.301752.322740.10948
0.303352.315360.10352
0.304952.308080.09792
0.306552.300920.09267
0.308152.293870.08773
0.309752.286950.0831
0.311352.280160.07875
0.312952.27350.07465
0.314552.266970.07081
0.316152.260580.06718
0.317752.254310.06377
0.319352.248170.06055
0.320952.242170.05753
0.322552.236290.05467
0.324162.230530.05197
0.325762.22490.04942
0.327362.219390.04702
0.328962.2140.04475
0.330562.208720.0426
0.332162.203550.04057
0.333762.198490.03864
0.335362.193540.03682
0.336962.18870.0351
0.338562.183950.03346
0.340162.17930.03191
0.341762.174750.03044
0.343362.170290.02905
0.344972.165920.02773
0.346572.161630.02647
0.348172.157430.02527
0.349772.153320.02414
0.351372.149280.02306
0.352972.145320.02203
0.354572.141440.02106
0.356172.137620.02013
0.357772.133880.01925
0.359382.130210.01841
0.360982.126610.01761
0.362582.123060.01685
0.364182.119580.01613
0.365782.116170.01544
0.367382.112810.01478
0.368982.10950.01416
0.370582.106260.01356
0.372192.103060.013
0.373792.099920.01246
0.375392.096830.01195
0.376992.093790.01146
0.378592.09080.01099
0.380192.087850.01055
0.381792.084950.01013
0.383392.082090.00973
0.3852.079280.00935
0.38662.076510.00899
0.38822.073770.00864
0.38982.071080.00832
0.39142.068430.00801
0.3932.065810.00771
0.39462.063230.00744
0.396212.060680.00717
0.397812.058170.00692
0.399412.055690.00669
0.401012.053250.00647
0.402612.050830.00626
0.404212.048450.00606
0.405812.046090.00587
0.407422.043770.0057
0.409022.041470.00553
0.410622.039210.00538
0.412222.036970.00523
0.413822.034750.0051
0.415422.032570.00498
0.417022.03040.00486
0.418632.028270.00475
0.420232.026150.00466
0.421832.024060.00457
0.423432.021990.00449
0.425032.019950.00441
0.426632.017930.00435
0.428232.015930.00429
0.429842.013950.00424
0.431442.011990.00419
0.433042.010050.00415
0.434642.008130.00412
0.436242.006230.00409
0.437842.004340.00407
0.439442.002480.00406
0.441052.000640.00405
0.442651.998810.00405
0.444251.9970.00405
0.445851.995210.00406
0.447451.993440.00408
0.449051.991680.00409
0.450651.989940.00412
0.452251.988220.00415
0.453861.986510.00418
0.455461.984820.00422
0.457061.983140.00426
0.458661.981480.00431
0.460261.979840.00436
0.461861.978220.0044
0.463461.976610.00445
0.465061.975020.0045
0.466671.973440.00455
0.468271.971870.0046
0.469871.970310.00465
0.471471.968770.0047
0.473071.967230.00475
0.474671.965710.00481
0.476271.96420.00486
0.477871.96270.00491
0.479471.961210.00496
0.481071.959730.00502
0.482671.958250.00507
0.484281.956790.00512
0.485881.955340.00518
0.487481.953890.00523
0.489081.952450.00529
0.490681.951020.00534
0.492281.94960.0054
0.493881.948190.00546
0.495481.946780.00551
0.497081.945380.00557
0.498681.943990.00563
0.500281.94260.00569
0.501881.941230.00575
0.503481.939850.0058
0.505081.938490.00586
0.506681.937130.00592
0.508281.935770.00598
0.509891.934420.00604
0.511491.933080.00611
0.513091.931740.00617
0.514691.930410.00623
0.516291.929080.00629
0.517891.927760.00635
0.519491.926440.00642
0.521091.925130.00648
0.522691.923820.00654
0.524291.922520.00661
0.525891.921220.00668
0.527491.919920.00674
0.529091.918630.00681
0.530691.917340.00687
0.532291.916060.00694
0.533891.914780.00701
0.535491.91350.00707
0.537091.912230.00714
0.538681.910960.00721
0.540281.909690.00728
0.541881.908430.00735
0.543481.907170.00742
0.545081.905920.00749
0.546681.904660.00756
0.548281.903410.00763
0.549881.902160.0077
0.551481.900920.00778
0.553081.899680.00785
0.554681.898440.00792
0.556281.89720.008
0.557881.895960.00807
0.559481.894730.00814
0.561071.89350.00822
0.562671.892270.0083
0.564271.891040.00837
0.565871.889820.00845
0.567471.888590.00853
0.569071.887370.0086
0.570671.886150.00868
0.572271.884930.00876
0.573861.883720.00884
0.575461.88250.00892
0.577061.881290.009
0.578661.880080.00908
0.580261.878870.00916
0.581861.877660.00924
0.583451.876450.00932
0.585051.875240.00941
0.586651.874040.00949
0.588251.872830.00957
0.589851.871630.00966
0.591441.870430.00974
0.593041.869220.00983
0.594641.868020.00991
0.596241.866820.01
0.597831.865620.01009
0.599431.864430.01017
0.601031.863230.01026
0.602631.862030.01035
0.604221.860830.01044
0.605821.859640.01053
0.607421.858440.01062
0.609021.857250.01071
0.610611.856050.0108
0.612211.854860.01089
0.613811.853660.01099
0.61541.852470.01108
0.6171.851280.01117
0.61861.850080.01127
0.620191.848890.01136
0.621791.84770.01146
0.623391.84650.01155
0.624981.845310.01165
0.626581.844120.01174
0.628181.842920.01184
0.629771.841730.01194
0.631371.840540.01204
0.632961.839340.01214
0.634561.838150.01224
0.636161.836960.01234
0.637751.835760.01244
0.639351.834570.01254
0.640941.833370.01264
0.642541.832180.01274
0.644131.830980.01285
0.645731.829790.01295
0.647321.828590.01306
0.648921.827390.01316
0.650511.82620.01327
0.652111.8250.01337
0.65371.82380.01348
0.65531.82260.01359
0.656891.82140.01369
0.658491.82020.0138
0.660081.8190.01391
0.661681.81780.01402
0.663271.81660.01413
0.664871.815390.01424
0.666461.814190.01436
0.668051.812990.01447
0.669651.811780.01458
0.671241.810570.0147
0.672841.809370.01481
0.674431.808160.01493
0.676021.806950.01504
0.677621.805740.01516
0.679211.804530.01527
0.68081.803320.01539
0.68241.80210.01551
0.683991.800890.01563
0.685581.799670.01575
0.687181.798460.01587
0.688771.797240.01599
0.690361.796020.01611
0.691961.79480.01623
0.693551.793580.01636
0.695141.792360.01648
0.696731.791130.01661
0.698321.789910.01673
0.699921.788690.01686
0.701511.787460.01698
0.70311.786230.01711
0.704691.7850.01724
0.706281.783770.01737
0.707881.782540.0175
0.709471.78130.01763
0.711061.780070.01776
0.712651.778830.01789
0.714241.777590.01802
0.715831.776350.01815
0.717421.775110.01829
0.719021.773870.01842
0.720611.772630.01856
0.72221.771380.01869
0.723791.770130.01883
0.725381.768880.01897
0.726971.767630.0191
0.728561.766380.01924
0.730151.765130.01938
0.731741.763870.01952
0.733331.762620.01966
0.734921.761360.01981
0.736511.76010.01995
0.73811.758840.02009
0.739691.757570.02024
0.741281.756310.02038
0.742871.755040.02053
0.744461.753770.02067
0.746041.75250.02082
0.747631.751230.02097
0.749221.749950.02112
0.750811.748680.02127
0.75241.74740.02142
0.753991.746120.02157
0.755581.744840.02172
0.757161.743560.02187
0.758751.742270.02202
0.760341.740980.02218
0.761931.73970.02234
0.763521.73840.02249
0.76511.737110.02265
0.766691.735820.0228
0.768281.734520.02296
0.769871.733220.02312
0.771451.731920.02328
0.773041.730620.02344
0.774631.729310.02361
0.776211.7280.02377
0.77781.726690.02393
0.779391.725380.0241
0.780971.724070.02426
0.782561.722750.02443
0.784141.721440.02459
0.785731.720120.02476
0.787321.718790.02493
0.78891.717470.0251
0.790491.716140.02527
0.792071.714820.02544
0.793661.713480.02561
0.795241.712150.02579
0.796831.710820.02596
0.798411.709480.02614
0.81.708140.02631
0.801581.70680.02649
0.803171.705450.02667
0.804751.704110.02685
0.806331.702760.02702
0.807921.701410.02721
0.80951.700050.02739
0.811091.69870.02757
0.812671.697340.02775
0.814251.695980.02794
0.815841.694620.02812
0.817421.693250.02831
0.8191.691890.02849
0.820581.690520.02868
0.822171.689140.02887
0.823751.687770.02906
0.825331.686390.02925
0.826911.685010.02944
0.82851.683630.02964
0.830081.682240.02983
0.831661.680860.03002
0.833241.679470.03022
0.834821.678080.03042
0.836411.676680.03061
0.837991.675280.03081
0.839571.673880.03101
0.841151.672480.03121
0.842731.671080.03141
0.844311.669670.03162
0.845891.668260.03182
0.847471.666850.03203
0.849051.665430.03223
0.850631.664010.03244
0.852211.662590.03265
0.853791.661170.03286
0.855371.659750.03307
0.856951.658320.03328
0.858531.656880.03349
0.860111.655450.0337
0.861691.654020.03392
0.863261.652580.03413
0.864841.651130.03435
0.866421.649690.03457
0.8681.648240.03479
0.869581.646790.035
0.871161.645340.03522
0.872731.643880.03545
0.874311.642430.03567
0.875891.640960.03589
0.877471.63950.03612
0.879041.638030.03635
0.880621.636560.03657
0.88221.635090.0368
0.883771.633620.03703
0.885351.632140.03726
0.886931.630660.0375
0.88851.629170.03773
0.890081.627690.03796
0.891651.62620.0382
0.893231.62470.03844
0.894811.623210.03867
0.896381.621710.03891
0.897961.620210.03915
0.899531.61870.0394
0.901111.61720.03964
0.902681.615690.03988
0.904251.614170.04013
0.905831.612660.04038
0.90741.611140.04062
0.908981.609620.04087
0.910551.608090.04112
0.912121.606560.04137
0.91371.605030.04163
0.915271.60350.04188
0.916841.601960.04213
0.918421.600420.04239
0.919991.598880.04265
0.921561.597330.04291
0.923131.595780.04317
0.92471.594230.04343
0.926281.592670.04369
0.927851.591110.04396
0.929421.589550.04422
0.930991.587980.04449
0.932561.586410.04476
0.934131.584840.04503
0.93571.583270.0453
0.937281.581690.04557
0.938851.580110.04585
0.940421.578520.04612
0.941991.576930.0464
0.943561.575340.04668
0.945131.573750.04695
0.946691.572150.04724
0.948261.570550.04752
0.949831.568950.0478
0.95141.567340.04809
0.952971.565730.04837
0.954541.564110.04866
0.956111.56250.04895
0.957681.560870.04924
0.959241.559250.04953
0.960811.557620.04983
0.962381.555990.05012
0.963951.554360.05042
0.965511.552720.05072
0.967081.551080.05101
0.968651.549430.05132
0.970211.547790.05162
0.971781.546130.05192
0.973351.544480.05223
0.974911.542820.05253
0.976481.541160.05284
0.978041.539490.05315
0.979611.537820.05346
0.981171.536150.05378
0.982741.534480.05409
0.98431.53280.05441
0.985871.531110.05473
0.987431.529430.05505
0.9891.527740.05537
0.990561.526040.05569
0.992121.524350.05602
0.993691.522650.05634
0.995251.520940.05667
0.996811.519230.057
0.998381.517520.05733
0.999941.515810.05766
1.013381.500890.0606
1.016811.497040.06137
1.020241.493170.06214
1.023671.489280.06293
1.027091.485370.06373
1.030521.481440.06453
1.033951.477490.06535
1.037381.473520.06617
1.040811.469530.06701
1.044231.465520.06785
1.047661.461490.06871
1.051091.457430.06957
1.054521.453360.07044
1.057951.449270.07133
1.061371.445150.07222
1.06481.441010.07313
1.068231.436850.07404
1.071661.432670.07497
1.075091.428470.07591
1.078511.424250.07686
1.081941.420.07782
1.085371.415730.07879
1.08881.411430.07978
1.092231.407120.08077
1.095651.402780.08178
1.099081.398420.0828
1.102511.394030.08383
1.105941.389620.08488
1.109371.385190.08594
1.11281.380730.08701
1.116221.376240.08809
1.119651.371740.08919
1.123081.367210.0903
1.126511.362650.09143
1.129941.358070.09257
1.133371.353460.09373
1.13681.348830.0949
1.140221.344170.09608
1.143651.339480.09728
1.147081.334770.0985
1.150511.330030.09973
1.153941.325270.10097
1.157371.320480.10224
1.16081.315660.10352
1.164231.310810.10481
1.167661.305930.10613
1.171091.301030.10746
1.174521.29610.10881
1.177951.291140.11018
1.181381.286150.11156
1.184811.281130.11297
1.188241.276090.11439
1.191671.271010.11583
1.19511.265910.1173
1.198531.260770.11878
1.201961.25560.12029
1.205391.250410.12181
1.208831.245180.12336
1.212261.239920.12493
1.215691.234630.12652
1.219121.229310.12814
1.222551.223950.12978
1.225981.218570.13144
1.229421.213150.13312
1.232851.20770.13483
1.236281.202210.13657
1.239711.196690.13833
1.243151.191140.14012
1.246581.185550.14194
1.250011.179930.14378
1.253451.174280.14565
1.256881.168580.14755
1.260311.162860.14949
1.263751.15710.15145
1.267181.15130.15344
1.270621.145470.15546
1.274051.13960.15752
1.277491.133690.15961
1.280921.127750.16173
1.284361.121770.16389
1.287791.115750.16608
1.291231.109690.16831
1.294661.10360.17057
1.29811.097460.17288
1.301541.091290.17522
1.304971.085080.17761
1.308411.078830.18003
1.311851.072540.1825
1.315281.066210.18501
1.318721.059850.18757
1.322161.053440.19017
1.32561.046990.19282
1.329041.04050.19551
1.332481.033970.19826
1.335911.02740.20105
1.339351.020790.2039
1.342791.014140.2068
1.346231.007440.20976
1.349671.000710.21277
1.353110.993940.21584
1.356550.987120.21897
1.360.980260.22216
1.363440.973370.22541
1.366880.966430.22873
1.370320.959450.23211
1.373760.952430.23556
1.37720.945370.23908
1.380650.938280.24268
1.384090.931140.24635
1.387530.923970.25009
1.390980.916750.25391
1.394420.909510.25781
1.397870.902220.2618
1.401310.89490.26586
1.404760.887540.27002
1.40820.880150.27426
1.411650.872730.2786
1.415090.865280.28303
1.418540.85780.28756
1.421990.850290.29219
1.425430.842760.29691
1.428880.83520.30175
1.432330.827620.30668
1.435780.820020.31173
1.439220.81240.31689
1.442670.804770.32217
1.446120.797120.32756
1.449570.789470.33307
1.453020.781810.3387
1.456470.774150.34445
1.459920.76650.35033
1.463370.758840.35634
1.466830.75120.36248
1.470280.743570.36875
1.473730.735960.37515
1.477180.728370.38168
1.480640.720810.38835
1.484090.713290.39515
1.487540.70580.40209
1.4910.698360.40917
1.494450.690960.41638
1.497910.683620.42373
1.501360.676340.43121
1.504820.669130.43882
1.508280.661990.44657
1.511730.654920.45444
1.515190.647940.46244
1.518650.641040.47057
1.522110.634240.47881
1.525560.627540.48718
1.529020.620940.49565
1.532480.614450.50424
1.535940.608060.51293
1.53940.60180.52172
1.542870.595650.5306
1.546330.589630.53957
1.549790.583730.54863
1.553250.577950.55776
1.556710.572310.56697
1.560180.56680.57625
1.563640.561410.58558
1.567110.556170.59497
1.570570.551050.60441
1.574040.546070.6139
1.57750.541220.62342
1.580970.53650.63298
1.584430.531920.64256
1.58790.527460.65217
1.591370.523140.6618
1.594840.518940.67144
1.598310.514870.68109
1.601780.510920.69075
1.605250.507090.70041
1.608720.503380.71006
1.612190.499790.71971
1.615660.496310.72936
1.619130.492950.73899
1.62260.489690.7486
1.626080.486540.75821
1.629550.483490.76779
1.633020.480550.77734
1.63650.47770.78688
1.639970.474940.79639
1.643450.472280.80588
1.646930.469710.81533
1.65040.467230.82476
1.653880.464840.83416
1.657360.462520.84352
1.660840.460290.85285
1.664320.458130.86215
1.66780.456050.87141
1.671280.454040.88064
1.674760.452110.88983
1.678240.450240.89899
1.681720.448440.90811
1.68520.44670.91719
1.688690.445030.92624

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
—