Optical constants

Refractive index of TiN (Titanium nitride)

Shkondin et al. 2017: n,k 0.211–1.69 µm

Data
tabulated nk
Range
0.2107–1.689 µm
Points
698
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.2107–1.689 µm
Refractive index n
1.85068
Extinction coefficient k
1.05828
Permittivity ε1
2.30506
Permittivity ε2
3.91707
Absorption coefficient α
226323 cm⁻¹
Penetration depth δ = λ/(2πk)
88.3695 nm
Abbe number Vd
—
Chromatic dispersion dn/dλ
-5.86478 µm⁻¹
Group index ng
5.29682
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

# TiN (Titanium nitride): Shkondin et al. 2017: n,k 0.211–1.69 µm
tin = ls.fetch_refractiveindex("main", "TiN", "Shkondin", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(tin.range_nm)  # (210.73, 1688.88) nm
eps = tin.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

105 nm thick titanium nitride (TiN) film on Si substrate as deposited (not annealed).

Conditions

film thickness
105e-9
substrate
Si

References

E. Shkondin, T. Repän, O. Takayama, A. V. Lavrinenko. High aspect ratio titanium nitride trench structures as plasmonic biosensor. Opt. Mater. Express 7, 4171-4182 (2017) (Numerical data kindly provided by Osamu Takayama)
  • doi:10.1364/ome.7.004171 High aspect ratio titanium nitride trench structures as plasmonic biosensor, Optical Materials Express (2017)

Cite

E. Shkondin, T. Repän, O. Takayama and A. V. Lavrinenko. High aspect ratio titanium nitride trench structures as plasmonic biosensor. Optical Materials Express, 7, 4171 (2017), doi:10.1364/ome.7.004171; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

698 rows as published
TiN (Titanium nitride), Shkondin et al. 2017: n,k 0.211–1.69 µm: n and k versus wavelength
λ (µm)nk
0.210731.7088051.639257
0.212311.7233511.642573
0.213891.7379471.645703
0.215471.7525741.648621
0.217051.7672121.651306
0.218631.7818411.653741
0.220211.7964421.655912
0.221791.8109951.65781
0.223371.8254811.659428
0.224951.8398791.660762
0.226521.8541741.661811
0.22811.8683461.662577
0.229681.8823781.663062
0.231261.8962571.663272
0.232841.9099661.663212
0.234421.9234921.662892
0.236011.9368231.66232
0.237591.9499471.661508
0.239171.9628551.660467
0.240751.9755381.659209
0.242331.9879881.657747
0.243912.0001991.656095
0.245492.0121671.654267
0.247072.0238871.652277
0.248652.0353571.650139
0.250232.0465761.647867
0.251812.0575441.645476
0.253392.0682611.642981
0.254972.078731.640394
0.256562.0889551.637729
0.258142.0989381.635
0.259722.1086861.632218
0.26132.1182041.629396
0.262882.1274991.626545
0.264462.1365791.623676
0.266042.1454511.620798
0.267632.1541261.617919
0.269212.1626131.615049
0.270792.170921.612195
0.272372.179061.609362
0.273952.1870421.606556
0.275542.1948771.60378
0.277122.2025761.601039
0.27872.2101511.598335
0.280282.2176131.595667
0.281872.2249721.593038
0.283452.2322391.590445
0.285032.2394251.587887
0.286612.246541.585361
0.28822.2535931.582863
0.289782.2605941.580388
0.291362.267551.577931
0.292942.274471.575487
0.294532.281361.573046
0.296112.2882261.570603
0.297692.2950751.568148
0.299272.3019081.565674
0.300862.3087311.56317
0.302442.3155441.560628
0.304022.3223491.558038
0.305612.3291451.555391
0.307192.3359311.552677
0.308772.3427051.549887
0.310362.3494641.547012
0.311942.3562021.544043
0.313522.3629141.540973
0.315112.3695951.537793
0.316692.3762351.534498
0.318282.3828281.531082
0.319862.3893641.527538
0.321442.3958341.523864
0.323032.4022281.520057
0.324612.4085361.516115
0.326192.4147461.512036
0.327782.4208491.507822
0.329362.4268331.503474
0.330952.4326871.498995
0.332532.4384021.494389
0.334122.4439671.489661
0.33572.4493721.484816
0.337282.4546091.479863
0.338872.459671.474809
0.340452.4645461.469663
0.342042.4692321.464435
0.343622.4737211.459135
0.345212.478011.453774
0.346792.4820941.448363
0.348372.4859721.442915
0.349962.4896431.43744
0.351542.4931051.431951
0.353132.4963621.426459
0.354712.4994151.420976
0.35632.5022671.415513
0.357882.5049251.410081
0.359472.5073921.40469
0.361052.5096771.399348
0.362642.5117871.394064
0.364222.5137291.388845
0.365812.5155131.383696
0.367392.5171481.378623
0.368982.5186421.373628
0.370562.5200041.368715
0.372152.5212441.363882
0.373732.5223681.359129
0.375322.5233821.354456
0.37692.5242931.349859
0.378492.5251021.345337
0.380072.5258111.340886
0.381662.5264181.336506
0.383252.5269211.332198
0.384832.5273141.327965
0.386422.5275911.323817
0.3882.5277471.319767
0.389592.527781.315837
0.391172.5276941.312053
0.392762.5275051.308451
0.394342.5272431.305064
0.395932.526961.301925
0.397522.5267271.29905
0.39912.5266381.296421
0.400692.5267871.293976
0.402272.527241.291587
0.403862.5279841.28908
0.405442.5288651.286291
0.407032.529591.283203
0.408622.5298631.280122
0.41022.5297881.277707
0.411792.530371.276417
0.413372.5331291.275186
0.414962.5375761.270979
0.416542.5389711.262825
0.418132.5340491.256972
0.419722.5299211.259378
0.42132.53491.263152
0.422892.5436571.258693
0.424472.5467441.248693
0.426062.5439411.241072
0.427652.5406731.238306
0.429232.5404151.237809
0.430822.5430521.236465
0.43242.54681.232889
0.433992.5500151.227303
0.435582.5518861.220638
0.437162.5523621.213828
0.438752.5518231.207485
0.440342.5507751.20185
0.441922.5496651.196884
0.443512.548791.19239
0.445092.54831.18811
0.446682.5482161.183799
0.448272.5484751.179258
0.449852.5489641.174345
0.451442.5495481.168978
0.453022.5500931.163123
0.454612.5504761.156787
0.45622.5505921.150001
0.457782.5503581.142818
0.459372.5497091.135299
0.460962.54861.12751
0.462542.5470011.119518
0.464132.5448991.111388
0.465712.5422871.10318
0.46732.5391721.094948
0.468892.5355631.086744
0.470472.5314761.078608
0.472062.5269331.070581
0.473652.5219551.062693
0.475232.5165641.054973
0.476822.5107851.047443
0.478412.5046431.040122
0.479992.4981621.033025
0.481582.4913641.026165
0.483162.4842721.019551
0.484752.4769081.013189
0.486342.4692921.007087
0.487922.4614431.001245
0.489512.453380.995667
0.49112.445120.990354
0.492682.4366770.985304
0.494272.4280680.980517
0.495852.4193050.975991
0.497442.4104020.971723
0.499032.401370.967712
0.500612.392220.963953
0.50222.3829620.960443
0.503792.3736060.957179
0.505372.3641590.954157
0.506962.3546310.951373
0.508542.3450280.948823
0.510132.3353570.946505
0.511722.3256240.944412
0.51332.3158360.942543
0.514892.3059970.940894
0.516472.2961130.93946
0.518062.2861880.938238
0.519652.2762260.937226
0.521232.2662320.936418
0.522822.2562090.935813
0.52442.2461610.935408
0.525992.2360910.935198
0.527582.2260010.935182
0.529162.2158960.935357
0.530752.2057770.93572
0.532332.1956470.936268
0.533922.1855090.937
0.535512.1753650.937913
0.537092.1652160.939004
0.538682.1550670.940272
0.540262.1449170.941715
0.541852.134770.943331
0.543442.1246270.945118
0.545022.1144890.947074
0.546612.104360.949197
0.548192.0942410.951487
0.549782.0841320.953941
0.551362.0740370.956559
0.552952.0639560.959338
0.554542.0538920.962278
0.556122.0438460.965378
0.557712.033820.968635
0.559292.0238150.972049
0.560882.0138330.975619
0.562462.0038760.979343
0.564051.9939460.983221
0.565631.9840430.987252
0.567221.9741710.991434
0.568811.964330.995767
0.570391.9545221.00025
0.571981.9447491.004881
0.573561.9350121.00966
0.575151.9253141.014585
0.576731.9156561.019657
0.578321.9060411.024873
0.57991.8964691.030233
0.581491.8869431.035735
0.583071.8774641.04138
0.584661.8680341.047166
0.586241.8586561.053091
0.587831.8493311.059155
0.589411.8400611.065356
0.5911.8308471.071694
0.592581.8216931.078167
0.594171.8125991.084775
0.595751.8035681.091515
0.597341.7946011.098387
0.598921.7857011.105389
0.600511.7768691.11252
0.602091.7681081.119779
0.603681.7594191.127163
0.605261.7508031.134672
0.606851.7422641.142305
0.608431.7338031.150058
0.610011.7254211.157931
0.61161.7171211.165922
0.613181.7089041.174029
0.614771.7007721.18225
0.616351.6927271.190584
0.617941.684771.199029
0.619521.6769031.207582
0.62111.6691281.216241
0.622691.6614461.225006
0.624271.6538591.233872
0.625861.6463681.242839
0.627441.6389741.251904
0.629021.6316791.261065
0.630611.6244851.270319
0.632191.6173911.279664
0.633781.6104011.289099
0.635361.6035131.29862
0.636941.596731.308225
0.638531.5900531.317912
0.640111.5834831.327678
0.641691.5770191.337521
0.643281.5706631.347438
0.644861.5644161.357427
0.646441.5582791.367486
0.648031.5522511.377611
0.649611.5463331.387802
0.651191.5405251.398053
0.652781.5348281.408365
0.654361.5292431.418734
0.655941.5237681.429157
0.657521.5184051.439632
0.659111.5131531.450157
0.660691.5080131.46073
0.662271.5029831.471347
0.663861.4980641.482007
0.665441.4932561.492707
0.667021.4885591.503446
0.66861.4839711.51422
0.670191.4794931.525028
0.671771.4751241.535867
0.673351.4708641.546735
0.674931.4667121.557631
0.676521.4626671.568551
0.67811.4587291.579495
0.679681.4548971.590459
0.681261.451171.601443
0.682841.4475481.612444
0.684421.4440291.623461
0.686011.4406131.634491
0.687591.4372991.645533
0.689171.4340861.656585
0.690751.4309731.667647
0.692331.4279591.678714
0.693911.4250441.689787
0.69551.4222251.700865
0.697081.4195031.711944
0.698661.4168751.723025
0.700241.4143411.734105
0.701821.4119011.745184
0.70341.4095521.75626
0.704981.4072941.767331
0.706561.4051251.778397
0.708141.4030451.789457
0.709721.4010521.800509
0.711311.3991461.811553
0.712891.3973241.822586
0.714471.3955871.83361
0.716051.3939321.844621
0.717631.392361.85562
0.719211.3908681.866606
0.720791.3894561.877577
0.722371.3881221.888534
0.723951.3868651.899475
0.725531.3856851.910399
0.727111.384581.921306
0.728691.3835491.932196
0.730271.3825911.943067
0.731851.3817051.953919
0.733431.380891.964751
0.735011.3801451.975563
0.736581.3794691.986355
0.738161.378861.997125
0.739741.3783182.007874
0.741321.3778422.018601
0.74291.3774312.029305
0.744481.3770842.039986
0.746061.3767992.050644
0.747641.3765762.061279
0.749221.3764152.07189
0.750791.3763132.082476
0.752371.376272.093038
0.753951.3762862.103575
0.755531.3763592.114088
0.757111.3764882.124574
0.758691.3766732.135036
0.760261.3769122.145472
0.761841.3772062.155882
0.763421.3775522.166265
0.7651.377952.176623
0.766581.37842.186954
0.768151.3789012.197259
0.769731.3794512.207537
0.771311.3800512.217788
0.772891.3806992.228013
0.774461.3813942.238211
0.776041.3821362.248381
0.777621.3829242.258525
0.779191.3837582.268641
0.780771.3846362.278731
0.782351.3855582.288792
0.783921.3865242.298827
0.78551.3875322.308835
0.787081.3885832.318815
0.788651.3896752.328768
0.790231.3908072.338693
0.79181.391982.348591
0.793381.3931932.358462
0.794961.3944442.368306
0.796531.3957342.378122
0.798111.3970612.387911
0.799681.3984262.397673
0.801261.3998272.407407
0.802831.4012652.417114
0.804411.4027382.426795
0.805981.4042462.436448
0.807561.4057892.446074
0.809131.4073662.455673
0.810711.4089762.465245
0.812281.4106192.474791
0.813861.4122952.48431
0.815431.4140032.493801
0.817011.4157432.503267
0.818581.4175142.512705
0.820161.4193152.522117
0.821731.4211472.531503
0.82331.4230092.540862
0.824881.42492.550196
0.826451.426822.559503
0.828031.4287692.568783
0.82961.4307462.578038
0.831171.432752.587267
0.832751.4347822.59647
0.834321.4368412.605647
0.835891.4389272.614799
0.837461.4410392.623925
0.839041.4431772.633026
0.840611.445342.642101
0.842181.4475292.651151
0.843751.4497422.660176
0.845331.451982.669177
0.84691.4542422.678151
0.848471.4565282.687101
0.850041.4588372.696027
0.851621.461172.704927
0.853191.4635252.713803
0.854761.4659032.722655
0.856331.4683032.731482
0.85791.4707262.740285
0.859471.4731692.749065
0.861041.4756352.75782
0.862611.4781212.76655
0.864191.4806282.775257
0.865761.4831552.78394
0.867331.4857042.7926
0.86891.4882712.801237
0.870471.4908592.80985
0.872041.4934662.818439
0.873611.4960932.827006
0.875181.4987382.835549
0.876751.5014022.844069
0.878321.5040852.852566
0.879891.5067862.861041
0.881461.5095052.869493
0.883031.5122412.877922
0.88461.5149952.886329
0.886161.5177672.894714
0.887731.5205562.903075
0.88931.5233612.911416
0.890871.5261842.919734
0.892441.5290232.92803
0.894011.5318782.936304
0.895581.5347492.944556
0.897141.5376362.952787
0.898711.5405392.960996
0.900281.5434572.969184
0.901851.5463912.97735
0.903421.549342.985495
0.904981.5523032.993619
0.906551.5552823.001721
0.908121.5582753.009803
0.909681.5612823.017864
0.911251.5643033.025904
0.912821.5673393.033923
0.914381.5703883.041922
0.915951.5734523.049901
0.917521.5765293.057859
0.919081.5796193.065796
0.920651.5827223.073714
0.922221.5858383.081611
0.923781.5889683.089488
0.925351.592113.097346
0.926911.5952643.105183
0.928481.5984323.113001
0.930041.6016113.120799
0.931611.6048033.128577
0.933171.6080063.136336
0.934741.6112223.144076
0.93631.6144493.151796
0.937871.6176883.159497
0.939431.6209393.167179
0.940991.62423.174842
0.942561.6274733.182486
0.944121.6307573.190111
0.945691.6340523.197717
0.947251.6373583.205304
0.948811.6406743.212873
0.950381.6440023.220424
0.951941.6473393.227956
0.95351.6506873.235469
0.955061.6540453.242964
0.956631.6574133.250441
0.958191.6607923.2579
0.959751.664183.265341
0.961311.6675783.272764
0.962881.6709853.280168
0.964441.6744023.287555
0.9661.6778293.294925
0.967561.6812643.302276
0.969121.684713.30961
0.970681.6881643.316927
0.972251.6916273.324226
0.973811.6950993.331508
0.975371.698583.338772
0.976931.702073.34602
0.978491.7055683.353249
0.980051.7090753.360463
0.981611.7125913.367659
0.983171.7161143.374838
0.984731.7196463.382
0.986291.7231863.389145
0.987851.7267353.396274
0.989411.7302913.403387
0.990971.7338553.410482
0.992521.7374273.417561
0.994081.7410063.424624
0.995641.7445943.431671
0.99721.7481893.4387
0.998761.7517913.445714
1.012691.7843313.507738
1.016081.792333.522636
1.019461.8003633.537467
1.022851.8084293.55223
1.026241.8165283.566927
1.029631.8246593.581558
1.033021.8328223.596124
1.03641.8410163.610626
1.039791.8492393.625063
1.043191.8574923.639437
1.046581.8657753.653748
1.049971.8740853.667996
1.053361.8824243.682182
1.056751.890793.696307
1.060141.8991833.71037
1.063541.9076033.724373
1.066931.9160483.738316
1.070331.9245193.7522
1.073721.9330143.766024
1.077111.9415343.77979
1.080511.9500783.793497
1.083911.9586463.807147
1.08731.9672363.820739
1.09071.9758493.834275
1.09411.9844853.847754
1.09751.9931423.861177
1.100892.0018213.874545
1.104292.010523.887857
1.107692.019243.901115
1.111092.0279813.914318
1.114492.0367413.927467
1.117892.0455213.940563
1.121292.0543193.953606
1.12472.0631373.966596
1.12812.0719733.979533
1.13152.0808273.992419
1.13492.0896994.005252
1.138312.0985884.018035
1.141712.1074954.030766
1.145112.1164184.043447
1.148522.1253574.056078
1.151922.1343134.068659
1.155332.1432854.08119
1.158742.1522724.093672
1.162142.1612744.106106
1.165552.1702924.118491
1.168962.1793244.130827
1.172372.1883714.143116
1.175782.1974324.155357
1.179182.2065074.167552
1.182592.2155954.179699
1.1862.2246974.191799
1.189422.2338124.203854
1.192832.242944.215862
1.196242.2520814.227825
1.199652.2612344.239742
1.203062.2703994.251614
1.206472.2795764.263441
1.209892.2887654.275224
1.21332.2979664.286963
1.216722.3071774.298658
1.220132.31644.310309
1.223552.3256344.321916
1.226962.3348794.333481
1.230382.3441344.345002
1.233792.3533994.356481
1.237212.3626744.367918
1.240632.3719594.379313
1.244052.3812544.390666
1.247472.3905584.401977
1.250882.3998724.413247
1.25432.4091954.424476
1.257722.4185274.435665
1.261142.4278674.446812
1.264562.4372164.45792
1.267992.4465744.468987
1.271412.455944.480015
1.274832.4653144.491003
1.278252.4746964.501951
1.281682.4840854.512861
1.28512.4934824.523731
1.288522.5028874.534563
1.291952.5122994.545357
1.295372.5217184.556112
1.29882.5311444.566829
1.302222.5405784.577509
1.305652.5500174.588151
1.309082.5594644.598756
1.312512.5689164.609323
1.315932.5783754.619854
1.319362.5878414.630348
1.322792.5973124.640805
1.326222.6067894.651226
1.329652.6162724.661611
1.333082.625764.67196
1.336512.6352544.682274
1.339942.6447534.692552
1.343372.6542584.702794
1.34682.6637684.713002
1.350242.6732834.723175
1.353672.6828024.733313
1.35712.6923274.743416
1.360542.7018564.753485
1.363972.7113894.76352
1.367412.7209274.773521
1.370842.730474.783489
1.374282.7400164.793422
1.377712.7495674.803323
1.381152.7591224.81319
1.384592.768684.823024
1.388032.7782434.832825
1.391462.7878094.842593
1.39492.7973794.852329
1.398342.8069524.862033
1.401782.8165284.871704
1.405222.8261084.881343
1.408662.8356924.89095
1.41212.8452784.900526
1.415542.8548674.91007
1.418992.8644594.919583
1.422432.8740554.929065
1.425872.8836524.938516
1.429312.8932534.947935
1.432762.9028564.957325
1.43622.9124624.966683
1.439652.922074.976011
1.443092.931684.985309
1.446542.9412934.994577
1.449982.9509085.003815
1.453432.9605255.013023
1.456882.9701435.022201
1.460322.9797645.031351
1.463772.9893875.04047
1.467222.9990125.049561
1.470673.0086385.058622
1.474123.0182665.067655
1.477573.0278955.076658
1.481023.0375265.085634
1.484473.0471595.094581
1.487923.0567935.103499
1.491373.0664285.112389
1.494823.0760645.121251
1.498283.0857025.130086
1.501733.095345.138892
1.505183.104985.147671
1.508643.1146215.156423
1.512093.1242625.165147
1.515553.1339055.173844
1.5193.1435485.182513
1.522463.1531925.191156
1.525913.1628375.199772
1.529373.1724825.208361
1.532833.1821275.216924
1.536283.1917745.22546
1.539743.2014215.23397
1.54323.2110675.242454
1.546663.2207155.250911
1.550123.2303635.259343
1.553583.2400115.267749
1.557043.2496595.27613
1.56053.2593075.284484
1.563963.2689555.292813
1.567423.2786035.301117
1.570893.2882525.309396
1.574353.29795.317649
1.577813.3075485.325878
1.581283.3171965.334082
1.584743.3268435.342261
1.58823.3364915.350415
1.591673.3461385.358545
1.595143.3557855.366651
1.59863.3654315.374732
1.602073.3750775.382789
1.605533.3847225.390822
1.6093.3943675.398831
1.612473.4040115.406816
1.615943.4136555.414778
1.619413.4232985.422716
1.622883.432945.43063
1.626353.4425815.438521
1.629823.4522225.446389
1.633293.4618625.454234
1.636763.4715015.462055
1.640233.4811395.469853
1.64373.4907775.477629
1.647173.5004135.485382
1.650653.5100485.493112
1.654123.5196825.50082
1.657593.5293155.508505
1.661073.5389475.516167
1.664543.5485785.523808
1.668023.5582085.531427
1.67153.5678365.539023
1.674973.5774635.546597
1.678453.5870895.55415
1.681933.5967145.561681
1.68543.6063385.56919
1.688883.615965.576678

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
—