Optical constants

Refractive index of TiN (Titanium nitride)

Shkondin et al. 2017: Annealed at 800 °C; 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
1.14293
Extinction coefficient k
1.78979
Permittivity ε1
-1.89707
Permittivity ε2
4.09121
Absorption coefficient α
382764 cm⁻¹
Penetration depth δ = λ/(2πk)
52.2515 nm
Abbe number Vd
—
Chromatic dispersion dn/dλ
-1.11761 µm⁻¹
Group index ng
1.79964
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: Annealed at 800 °C; n,k 0.211–1.69 µm
tin = ls.fetch_refractiveindex("main", "TiN", "Shkondin-800", 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 annealed at 800 °C.

Conditions

film thickness
105e-9
substrate
Si
annealing temperature
1073

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: Annealed at 800 °C; n,k 0.211–1.69 µm: n and k versus wavelength
λ (µm)nk
0.210731.7566081.582417
0.212311.778781.583148
0.213891.8005421.582953
0.215471.8218631.581881
0.217051.8427141.579977
0.218631.8630721.577286
0.220211.8829111.573855
0.221791.9022141.569726
0.223371.9209621.564945
0.224951.9391421.559552
0.226521.956741.553591
0.22811.9737471.547101
0.229681.9901561.540124
0.231262.005961.532697
0.232842.0211551.524858
0.234422.0357411.516645
0.236012.0497161.50809
0.237592.0630831.49923
0.239172.0758441.490097
0.240752.0880031.480721
0.242332.0995661.471133
0.243912.110541.461361
0.245492.1209321.451433
0.247072.130751.441375
0.248652.1400051.431211
0.250232.1487061.420965
0.251812.1568631.410658
0.253392.1644881.400312
0.254972.1715921.389946
0.256562.1781881.379578
0.258142.1842871.369226
0.259722.1899011.358906
0.26132.1950431.348633
0.262882.1997261.33842
0.264462.2039621.328282
0.266042.2077641.318229
0.267632.2111441.308274
0.269212.2141151.298427
0.270792.2166891.288697
0.272372.2188781.279093
0.273952.2206941.269624
0.275542.2221491.260297
0.277122.2232551.251119
0.27872.2240221.242096
0.280282.2244621.233235
0.281872.2245851.224541
0.283452.2244031.216018
0.285032.2239251.207671
0.286612.2231611.199504
0.28822.2221211.191522
0.289782.2208151.183728
0.291362.2192521.176125
0.292942.217441.168716
0.294532.2153891.161505
0.296112.2131071.154494
0.297692.2106021.147685
0.299272.2078831.141081
0.300862.2049561.134685
0.302442.2018321.128499
0.304022.1985151.122525
0.305612.1950151.116765
0.307192.1913381.111223
0.308772.1874921.1059
0.310362.1834851.100799
0.311942.1793221.095922
0.313522.1750131.091272
0.315112.1705631.086852
0.316692.165981.082663
0.318282.1612731.07871
0.319862.1564481.074995
0.321442.1515141.071522
0.323032.1464781.068292
0.324612.141351.065311
0.326192.1361381.06258
0.327782.1308521.060104
0.329362.1255021.057886
0.330952.1200981.05593
0.332532.1146521.054239
0.334122.1091751.052816
0.33572.1036811.051664
0.337282.0981821.050787
0.338872.0926941.050187
0.340452.0872321.049865
0.342042.0818131.049825
0.343622.0764541.050066
0.345212.0711761.050588
0.346792.0659991.051389
0.348372.0609441.052468
0.349962.0560341.05382
0.351542.0512951.055438
0.353132.0467521.057315
0.354712.0424311.059439
0.35632.0383621.061796
0.357882.0345721.064369
0.359472.0310921.067136
0.361052.027951.070073
0.362642.0251761.073149
0.364222.02281.076329
0.365812.0208471.079573
0.367392.0193431.082833
0.368982.018311.086056
0.370562.0177641.089183
0.372152.0177161.092148
0.373732.0181711.094878
0.375322.0191231.097292
0.37692.0205551.099307
0.378492.0224371.100832
0.380072.0247231.101775
0.381662.0273481.102041
0.383252.0302261.10154
0.384832.0332451.100187
0.386422.0362691.097911
0.3882.0391311.094662
0.389592.0416391.090423
0.391172.0435741.085221
0.392762.0447041.079146
0.394342.0447981.072367
0.395932.0436591.065146
0.397522.0411661.057849
0.39912.0373471.050923
0.400692.0324421.04484
0.402272.0269631.039967
0.403862.0216561.036379
0.405442.0173191.033649
0.407032.0144071.030801
0.408622.0125871.026597
0.41022.0105961.020242
0.411792.006791.012115
0.413372.0002491.003795
0.414961.991560.99708
0.416541.9824270.992685
0.418131.9743810.989845
0.419721.9678050.987103
0.42131.9620150.983386
0.422891.9559970.978467
0.424471.9490270.972751
0.426061.9408570.966839
0.427651.9315940.961219
0.429231.92150.95617
0.430821.9108510.951782
0.43241.8998590.94803
0.433991.8886640.944833
0.435581.8773390.942101
0.437161.8659150.939752
0.438751.8543920.937723
0.440341.8427560.935968
0.441921.8309850.934457
0.443511.8190560.933176
0.445091.8069440.932118
0.446681.7946250.931285
0.448271.7820780.930688
0.449851.7692830.930345
0.451441.7562250.930277
0.453021.7428930.930513
0.454611.7292810.931085
0.45621.7153890.932029
0.457781.7012230.933382
0.459371.6867970.935184
0.460961.6721330.937473
0.462541.6572570.940285
0.464131.6422060.943653
0.465711.6270180.947606
0.46731.6117410.952165
0.468891.5964230.957349
0.470471.5811160.963167
0.472061.5658740.969619
0.473651.5507510.976702
0.475231.5357970.984404
0.476821.5210640.992705
0.478411.5065971.00158
0.479991.4924391.011001
0.481581.4786281.020931
0.483161.4651961.031334
0.484751.452171.042167
0.486341.4395711.053391
0.487921.4274151.06496
0.489511.4157121.076834
0.49111.4044671.088968
0.492681.3936821.101324
0.494271.3833531.113862
0.495851.3734721.126547
0.497441.364031.139343
0.499031.3550141.152221
0.500611.3464091.165153
0.50221.3381991.178112
0.503791.3303661.191078
0.505371.3228921.20403
0.506961.3157571.216953
0.508541.3089451.229831
0.510131.3024351.242654
0.511721.2962091.255411
0.51331.290251.268094
0.514891.2845411.280698
0.516471.2790641.293218
0.518061.2738061.30565
0.519651.268751.317993
0.521231.2638831.330247
0.522821.2591921.342409
0.52441.2546651.354483
0.525991.2502911.366468
0.527581.246061.378366
0.529161.2419621.39018
0.530751.2379891.401911
0.532331.2341321.413563
0.533921.2303841.425139
0.535511.2267391.436641
0.537091.223191.448072
0.538681.2197321.459435
0.540261.2163611.470734
0.541851.213071.481972
0.543441.2098571.49315
0.545021.2067171.504274
0.546611.2036481.515344
0.548191.2006461.526364
0.549781.1977081.537337
0.551361.1948331.548264
0.552951.1920171.559149
0.554541.1892591.569994
0.556121.1865581.5808
0.557711.1839111.591571
0.559291.1813171.602307
0.560881.1787741.61301
0.562461.1762831.623683
0.564051.1738411.634326
0.565631.1714471.644942
0.567221.1691021.655532
0.568811.1668031.666096
0.570391.1645511.676637
0.571981.1623441.687155
0.573561.1601821.697652
0.575151.1580641.708128
0.576731.1559911.718585
0.578321.1539611.729022
0.57991.1519741.739441
0.581491.150031.749843
0.583071.1481281.760228
0.584661.1462671.770598
0.586241.1444491.780951
0.587831.1426721.791289
0.589411.1409351.801613
0.5911.1392391.811923
0.592581.1375841.822219
0.594171.1359691.832501
0.595751.1343931.84277
0.597341.1328571.853027
0.598921.131361.863271
0.600511.1299021.873502
0.602091.1284831.883722
0.603681.1271031.893929
0.605261.125761.904126
0.606851.1244561.91431
0.608431.1231891.924482
0.610011.121961.934644
0.61161.1207681.944794
0.613181.1196121.954933
0.614771.1184941.965062
0.616351.1174121.975178
0.617941.1163661.985285
0.619521.1153561.99538
0.62111.1143822.005465
0.622691.1134442.015539
0.624271.112542.025602
0.625861.1116722.035654
0.627441.1108382.045696
0.629021.1100392.055727
0.630611.1092732.065748
0.632191.1085422.075758
0.633781.1078442.085757
0.635361.107182.095746
0.636941.1065492.105724
0.638531.1059522.115691
0.640111.1053862.125647
0.641691.1048532.135593
0.643281.1043532.145529
0.644861.1038842.155453
0.646441.1034472.165367
0.648031.1030422.17527
0.649611.1026672.185162
0.651191.1023242.195043
0.652781.1020122.204914
0.654361.101732.214774
0.655941.1014782.224623
0.657521.1012562.234461
0.659111.1010642.244289
0.660691.1009012.254105
0.662271.1007682.26391
0.663861.1006642.273705
0.665441.1005892.283489
0.667021.1005422.293261
0.66861.1005242.303023
0.670191.1005342.312773
0.671771.1005722.322513
0.673351.1006372.332242
0.674931.100732.341959
0.676521.1008512.351665
0.67811.1009982.361361
0.679681.1011722.371045
0.681261.1013732.380718
0.682841.10162.390379
0.684421.1018542.40003
0.686011.1021332.40967
0.687591.1024382.419298
0.689171.1027692.428915
0.690751.1031252.438521
0.692331.1035072.448115
0.693911.1039132.457698
0.69551.1043442.46727
0.697081.10482.476831
0.698661.105282.486381
0.700241.1057842.495919
0.701821.1063122.505446
0.70341.1068642.514961
0.704981.107442.524465
0.706561.1080392.533959
0.708141.1086622.54344
0.709721.1093072.55291
0.711311.1099752.562369
0.712891.1106672.571817
0.714471.111382.581253
0.716051.1121162.590678
0.717631.1128742.600091
0.719211.1136552.609493
0.720791.1144572.618884
0.722371.1152812.628264
0.723951.1161262.637632
0.725531.1169922.646988
0.727111.117882.656333
0.728691.1187892.665667
0.730271.1197192.67499
0.731851.120672.684301
0.733431.1216412.693601
0.735011.1226322.702889
0.736581.1236442.712166
0.738161.1246762.721432
0.739741.1257272.730686
0.741321.1267992.739929
0.74291.127892.74916
0.744481.1290012.75838
0.746061.1301312.767589
0.747641.131282.776787
0.749221.1324492.785972
0.750791.1336362.795147
0.752371.1348422.804311
0.753951.1360672.813463
0.755531.137312.822603
0.757111.1385722.831732
0.758691.1398522.840851
0.760261.141152.849957
0.761841.1424662.859052
0.763421.14382.868136
0.7651.1451522.877209
0.766581.1465212.886271
0.768151.1479082.895321
0.769731.1493122.90436
0.771311.1507342.913387
0.772891.1521722.922403
0.774461.1536282.931408
0.776041.15512.940402
0.777621.156592.949385
0.779191.1580952.958356
0.780771.1596182.967316
0.782351.1611572.976264
0.783921.1627122.985202
0.78551.1642832.994128
0.787081.165873.003043
0.788651.1674743.011947
0.790231.1690933.02084
0.79181.1707283.029721
0.793381.1723793.038592
0.794961.1740453.047451
0.796531.1757263.056299
0.798111.1774233.065135
0.799681.1791353.073961
0.801261.1808623.082775
0.802831.1826043.091579
0.804411.1843613.100371
0.805981.1861333.109152
0.807561.187923.117922
0.809131.1897213.126681
0.810711.1915373.135429
0.812281.1933673.144166
0.813861.1952113.152891
0.815431.197073.161606
0.817011.1989433.17031
0.818581.200833.179002
0.820161.202733.187683
0.821731.2046453.196354
0.82331.2065743.205014
0.824881.2085163.213662
0.826451.2104713.2223
0.828031.212443.230926
0.82961.2144233.239541
0.831171.2164193.248146
0.832751.2184283.256739
0.834321.220453.265322
0.835891.2224853.273894
0.837461.2245333.282455
0.839041.2265943.291005
0.840611.2286683.299543
0.842181.2307553.308071
0.843751.2328543.316589
0.845331.2349663.325095
0.84691.237093.333591
0.848471.2392273.342075
0.850041.2413763.350549
0.851621.2435373.359012
0.853191.2457113.367464
0.854761.2478963.375905
0.856331.2500943.384336
0.85791.2523033.392756
0.859471.2545243.401165
0.861041.2567573.409563
0.862611.2590023.41795
0.864191.2612583.426327
0.865761.2635263.434692
0.867331.2658063.443048
0.86891.2680973.451392
0.870471.2703993.459726
0.872041.2727123.468049
0.873611.2750373.476362
0.875181.2773723.484663
0.876751.2797193.492954
0.878321.2820773.501235
0.879891.2844463.509505
0.881461.2868253.517764
0.883031.2892153.526012
0.88461.2916163.53425
0.886161.2940283.542477
0.887731.296453.550694
0.88931.2988833.5589
0.890871.3013263.567096
0.892441.303783.575281
0.894011.3062443.583455
0.895581.3087183.591619
0.897141.3112023.599773
0.898711.3136973.607915
0.900281.3162013.616048
0.901851.3187163.624169
0.903421.321243.632281
0.904981.3237743.640382
0.906551.3263193.648472
0.908121.3288733.656552
0.909681.3314363.664622
0.911251.3340093.672681
0.912821.3365923.680729
0.914381.3391843.688768
0.915951.3417863.696796
0.917521.3443973.704813
0.919081.3470183.712821
0.920651.3496483.720817
0.922221.3522873.728804
0.923781.3549353.73678
0.925351.3575923.744745
0.926911.3602593.752701
0.928481.3629343.760646
0.930041.3656183.768581
0.931611.3683113.776505
0.933171.3710133.784419
0.934741.3737243.792323
0.93631.3764443.800218
0.937871.3791723.808101
0.939431.3819093.815974
0.940991.3846543.823837
0.942561.3874083.83169
0.944121.390173.839533
0.945691.3929413.847365
0.947251.395723.855187
0.948811.3985083.863
0.950381.4013033.870802
0.951941.4041073.878594
0.95351.4069193.886375
0.955061.4097393.894147
0.956631.4125683.901908
0.958191.4154043.90966
0.959751.4182483.917401
0.961311.42113.925132
0.962881.423963.932853
0.964441.4268283.940564
0.9661.4297033.948265
0.967561.4325863.955956
0.969121.4354773.963637
0.970681.4383763.971308
0.972251.4412813.978969
0.973811.4441953.98662
0.975371.4471163.994261
0.976931.4500454.001892
0.978491.452984.009513
0.980051.4559244.017124
0.981611.4588744.024726
0.983171.4618324.032317
0.984731.4647974.039898
0.986291.4677694.04747
0.987851.4707484.055031
0.989411.4737344.062583
0.990971.4767274.070125
0.992521.4797284.077657
0.994081.4827354.085179
0.995641.4857494.092692
0.99721.488774.100194
0.998761.4917984.107687
1.012691.5191764.174271
1.016081.5259144.190351
1.019461.5326854.206391
1.022851.5394884.222391
1.026241.5463224.238352
1.029631.5531884.254273
1.033021.5600854.270155
1.03641.5670134.285998
1.039791.5739714.301802
1.043191.5809594.317566
1.046581.5879774.333292
1.049971.5950244.348979
1.053361.60214.364627
1.056751.6092054.380237
1.060141.6163384.395808
1.063541.6234994.41134
1.066931.6306874.426834
1.070331.6379044.44229
1.073721.6451474.457708
1.077111.6524174.473087
1.080511.6597144.488429
1.083911.6670374.503732
1.08731.6743854.518998
1.09071.681764.534226
1.09411.6891594.549417
1.09751.6965844.56457
1.100891.7040344.579685
1.104291.7115074.594763
1.107691.7190054.609804
1.111091.7265274.624808
1.114491.7340734.639775
1.117891.7416424.654704
1.121291.7492344.669597
1.12471.7568494.684454
1.12811.7644874.699273
1.13151.7721474.714056
1.13491.7798284.728802
1.138311.7875324.743512
1.141711.7952574.758186
1.145111.8030044.772824
1.148521.8107724.787425
1.151921.818564.80199
1.155331.8263694.81652
1.158741.8341984.831014
1.162141.8420484.845471
1.165551.8499174.859894
1.168961.8578064.874281
1.172371.8657154.888632
1.175781.8736424.902948
1.179181.8815894.917229
1.182591.8895544.931475
1.1861.8975384.945686
1.189421.905544.959862
1.192831.913564.974002
1.196241.9215984.988109
1.199651.9296535.00218
1.203061.9377275.016217
1.206471.9458175.030219
1.209891.9539245.044187
1.21331.9620485.058121
1.216721.9701895.072021
1.220131.9783465.085886
1.223551.9865195.099718
1.226961.9947085.113515
1.230382.0029135.127279
1.233792.0111345.141009
1.237212.019375.154706
1.240632.0276215.168369
1.244052.0358885.181998
1.247472.0441695.195594
1.250882.0524655.209157
1.25432.0607755.222687
1.257722.06915.236184
1.261142.0774395.249648
1.264562.0857925.263079
1.267992.0941585.276478
1.271412.1025385.289843
1.274832.1109325.303177
1.278252.1193395.316477
1.281682.1277585.329745
1.28512.1361915.342981
1.288522.1446375.356185
1.291952.1530955.369357
1.295372.1615655.382497
1.29882.1700485.395604
1.302222.1785435.408681
1.305652.187055.421725
1.309082.1955685.434738
1.312512.2040995.447719
1.315932.212645.460669
1.319362.2211935.473588
1.322792.2297575.486474
1.326222.2383325.49933
1.329652.2469185.512156
1.333082.2555155.52495
1.336512.2641225.537713
1.339942.272745.550445
1.343372.2813685.563147
1.34682.2900065.575818
1.350242.2986545.588459
1.353672.3073125.60107
1.35712.3159795.61365
1.360542.3246575.6262
1.363972.3333435.638719
1.367412.3420395.651209
1.370842.3507445.663669
1.374282.3594585.676098
1.377712.3681815.688499
1.381152.3769135.700869
1.384592.3856535.71321
1.388032.3944025.725521
1.391462.4031595.737804
1.39492.4119245.750056
1.398342.4206985.76228
1.401782.429485.774474
1.405222.4382695.78664
1.408662.4470665.798776
1.41212.4558715.810884
1.415542.4646845.822963
1.418992.4735045.835014
1.422432.4823315.847035
1.425872.4911655.859028
1.429312.5000065.870994
1.432762.5088555.88293
1.43622.517715.894838
1.439652.5265725.906719
1.443092.535445.918571
1.446542.5443155.930395
1.449982.5531975.942192
1.453432.5620845.95396
1.456882.5709785.965701
1.460322.5798785.977415
1.463772.5887845.9891
1.467222.5976956.000759
1.470672.6066136.01239
1.474122.6155366.023994
1.477572.6244656.035571
1.481022.6333996.047121
1.484472.6423396.058644
1.487922.6512836.07014
1.491372.6602336.081608
1.494822.6691886.093051
1.498282.6781486.104467
1.501732.6871136.115856
1.505182.6960826.127218
1.508642.7050576.138555
1.512092.7140366.149865
1.515552.7230196.161149
1.5192.7320076.172407
1.522462.7409996.183638
1.525912.7499966.194845
1.529372.7589966.206024
1.532832.7680016.217179
1.536282.7770096.228307
1.539742.7860226.23941
1.54322.7950386.250487
1.546662.8040586.261539
1.550122.8130826.272566
1.553582.8221096.283567
1.557042.831146.294543
1.56052.8401746.305494
1.563962.8492116.31642
1.567422.8582526.327321
1.570892.8672966.338197
1.574352.8763436.349049
1.577812.8853926.359875
1.581282.8944456.370677
1.584742.9035016.381455
1.58822.9125596.392208
1.591672.921626.402936
1.595142.9306846.413641
1.59862.939756.424321
1.602072.948826.434977
1.605532.957896.445609
1.6092.9669646.456217
1.612472.976046.466801
1.615942.9851186.477362
1.619412.9941986.487898
1.622883.003286.498411
1.626353.0123646.5089
1.629823.021456.519366
1.633293.0305386.529809
1.636763.0396286.540228
1.640233.048726.550624
1.64373.0578136.560996
1.647173.0669086.571346
1.650653.0760046.581672
1.654123.0851026.591976
1.657593.09426.602256
1.661073.1033016.612514
1.664543.1124036.622749
1.668023.1215066.632962
1.67153.130616.643152
1.674973.1397156.653319
1.678453.1488226.663464
1.681933.1579296.673586
1.68543.1670386.683687
1.688883.1761476.693765

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
—