Optical constants

Refractive index of TiN (Titanium nitride)

Shkondin et al. 2017: Annealed at 700 °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
1.29003
Extinction coefficient k
1.57231
Permittivity ε1
-0.807974
Permittivity ε2
4.05663
Absorption coefficient α
336252 cm⁻¹
Penetration depth δ = λ/(2πk)
59.4792 nm
Abbe number Vd
—
Chromatic dispersion dn/dλ
-1.62201 µm⁻¹
Group index ng
2.24312
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 700 °C; n,k 0.211–1.69 µm
tin = ls.fetch_refractiveindex("main", "TiN", "Shkondin-700", 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 700 °C.

Conditions

film thickness
105e-9
substrate
Si
annealing temperature
973

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 700 °C; n,k 0.211–1.69 µm: n and k versus wavelength
λ (µm)nk
0.210731.7302311.561166
0.212311.7470621.563256
0.213891.7636561.56484
0.215471.7800011.56594
0.217051.7960871.56658
0.218631.8119061.566781
0.220211.8274481.566567
0.221791.8427071.565958
0.223371.8576791.564976
0.224951.8723581.563639
0.226521.8867411.561969
0.22811.9008241.559984
0.229681.9146071.557702
0.231261.9280861.555142
0.232841.9412631.55232
0.234421.9541371.549254
0.236011.9667081.545958
0.237591.9789791.542449
0.239171.990951.538741
0.240752.0026261.534848
0.242332.0140081.530783
0.243912.02511.52656
0.245492.0359051.52219
0.247072.0464271.517685
0.248652.0566711.513055
0.250232.0666421.508312
0.251812.0763431.503465
0.253392.0857791.498523
0.254972.0949571.493495
0.256562.1038811.488388
0.258142.1125561.48321
0.259722.1209891.477968
0.26132.1291831.472669
0.262882.1371461.467318
0.264462.1448811.461921
0.266042.1523961.456482
0.267632.1596941.451007
0.269212.1667821.445499
0.270792.1736641.439962
0.272372.1803461.434399
0.273952.1868331.428813
0.275542.1931291.423207
0.277122.1992391.417582
0.27872.2051691.41194
0.280282.2109211.406283
0.281872.21651.400612
0.283452.2219111.394928
0.285032.2271571.389231
0.286612.2322411.383522
0.28822.2371661.377801
0.289782.2419361.372067
0.291362.2465541.366322
0.292942.2510211.360563
0.294532.255341.354791
0.296112.2595141.349004
0.297692.2635421.343203
0.299272.2674281.337385
0.300862.2711711.331551
0.302442.2747731.325698
0.304022.2782341.319826
0.305612.2815541.313934
0.307192.2847331.30802
0.308772.2877711.302084
0.310362.2906651.296124
0.311942.2934161.29014
0.313522.2960221.284131
0.315112.2984811.278096
0.316692.300791.272034
0.318282.3029471.265946
0.319862.304951.259831
0.321442.3067951.253689
0.323032.3084791.247522
0.324612.3099981.24133
0.326192.3113481.235114
0.327782.3125251.228876
0.329362.3135241.222618
0.330952.3143411.216343
0.332532.314971.210055
0.334122.3154061.203757
0.33572.3156461.197454
0.337282.3156821.191151
0.338872.315511.184856
0.340452.3151251.178574
0.342042.3145221.172315
0.343622.3136971.166087
0.345212.3126441.1599
0.346792.3113611.153767
0.348372.3098451.147699
0.349962.3080941.14171
0.351542.3061061.135816
0.353132.3038821.130032
0.354712.3014241.124376
0.35632.2987371.118867
0.357882.2958261.113524
0.359472.2927011.108369
0.361052.2893731.103422
0.362642.2858581.098704
0.364222.2821751.094238
0.365812.2783491.090044
0.367392.2744071.086142
0.368982.2703831.082549
0.370562.2663161.07928
0.372152.2622511.076344
0.373732.2582371.073744
0.375322.254331.071476
0.37692.2505891.069527
0.378492.2470761.067871
0.380072.2438541.066469
0.381662.2409851.065265
0.383252.2385241.064188
0.384832.2365171.063146
0.386422.2349911.06203
0.3882.2339521.060714
0.389592.2333721.05906
0.391172.2331841.056925
0.392762.2332711.054178
0.394342.2334681.05071
0.395932.2335581.046468
0.397522.2332891.041477
0.39912.2324071.035873
0.400692.2307121.029921
0.402272.2281451.024002
0.403862.2248731.018538
0.405442.2213521.013835
0.407032.2182461.009851
0.408622.216141.006025
0.41022.2150951.001386
0.411792.2143620.995085
0.413372.2126990.987085
0.414962.2092330.978325
0.416542.2041240.970017
0.418132.1983120.96271
0.419722.1926320.95605
0.42132.1872630.949319
0.422892.181840.942039
0.424472.1758740.934153
0.426062.1690290.925887
0.427652.1611770.917542
0.429232.1523350.909377
0.430822.1425910.901585
0.43242.1320570.894295
0.433992.1208480.887593
0.435582.1090810.881534
0.437162.0968610.876148
0.438752.0842930.871444
0.440342.0714710.867414
0.441922.0584760.864033
0.443512.0453790.861265
0.445092.0322320.859069
0.446682.0190750.857396
0.448272.0059330.856203
0.449851.9928190.855446
0.451441.9797370.855091
0.453021.9666880.855109
0.454611.9536630.85548
0.45621.9406580.856188
0.457781.9276670.857227
0.459371.9146870.858592
0.460961.9017170.860283
0.462541.8887610.862302
0.464131.8758240.864648
0.465711.8629150.867324
0.46731.8500430.870328
0.468891.8372190.87366
0.470471.8244550.877314
0.472061.8117630.881286
0.473651.7991520.885568
0.475231.7866330.890154
0.476821.7742130.895034
0.478411.7619010.900201
0.479991.7497020.905644
0.481581.7376210.911357
0.483161.7256630.917329
0.484751.7138320.923556
0.486341.702130.930028
0.487921.6905620.93674
0.489511.6791290.943687
0.49111.6678360.950862
0.492681.6566850.958261
0.494271.6456820.965878
0.495851.6348280.973709
0.497441.6241290.981749
0.499031.6135890.989992
0.500611.6032120.998433
0.50221.5930031.007066
0.503791.5829671.015884
0.505371.5731061.024882
0.506961.5634281.034052
0.508541.5539341.043387
0.510131.5446291.052878
0.511721.5355151.062518
0.51331.5265961.072298
0.514891.5178731.08221
0.516471.5093481.092245
0.518061.5010221.102394
0.519651.4928961.112649
0.521231.4849691.123001
0.522821.4772411.133441
0.52441.4697111.143961
0.525991.4623771.154552
0.527581.4552371.165207
0.529161.4482881.175918
0.530751.4415291.186678
0.532331.4349541.19748
0.533921.4285611.208317
0.535511.4223471.219183
0.537091.4163061.230072
0.538681.4104351.240979
0.540261.4047291.2519
0.541851.3991841.262829
0.543441.3937961.273761
0.545021.3885591.284695
0.546611.3834691.295625
0.548191.3785221.306549
0.549781.3737131.317465
0.551361.3690371.328369
0.552951.364491.33926
0.554541.3600681.350135
0.556121.3557661.360994
0.557711.351581.371834
0.559291.3475071.382656
0.560881.3435421.393457
0.562461.3396821.404237
0.564051.3359221.414996
0.565631.3322611.425733
0.567221.3286941.436448
0.568811.3252171.447141
0.570391.321831.457812
0.571981.3185271.468461
0.573561.3153071.479088
0.575151.3121661.489693
0.576731.3091041.500278
0.578321.3061161.510842
0.57991.3032021.521385
0.581491.3003581.531909
0.583071.2975831.542413
0.584661.2948751.552899
0.586241.2922331.563366
0.587831.2896541.573817
0.589411.2871381.58425
0.5911.2846821.594667
0.592581.2822861.605068
0.594171.2799481.615455
0.595751.2776671.625827
0.597341.2754421.636185
0.598921.2732721.646529
0.600511.2711561.656861
0.602091.2690931.667181
0.603681.2670831.677489
0.605261.2651241.687786
0.606851.2632161.698072
0.608431.2613581.708349
0.610011.2595491.718615
0.61161.257791.728872
0.613181.2560791.73912
0.614771.2544161.74936
0.616351.2528011.759591
0.617941.2512331.769814
0.619521.2497111.78003
0.62111.2482361.790239
0.622691.2468071.80044
0.624271.2454231.810635
0.625861.2440851.820823
0.627441.2427921.831005
0.629021.2415441.841181
0.630611.2403411.851351
0.632191.2391811.861514
0.633781.2380671.871672
0.635361.2369951.881825
0.636941.2359681.891972
0.638531.2349841.902113
0.640111.2340431.912248
0.641691.2331461.922379
0.643281.2322921.932503
0.644861.231481.942623
0.646441.2307111.952737
0.648031.2299841.962845
0.649611.22931.972948
0.651191.2286591.983045
0.652781.2280581.993137
0.654361.22752.003223
0.655941.2269842.013303
0.657521.2265092.023378
0.659111.2260762.033446
0.660691.2256842.043509
0.662271.2253322.053565
0.663861.2250222.063615
0.665441.2247532.073659
0.667021.2245242.083696
0.66861.2243362.093727
0.670191.2241872.10375
0.671771.2240792.113767
0.673351.2240112.123776
0.674931.2239832.133779
0.676521.2239942.143774
0.67811.2240452.153761
0.679681.2241352.163741
0.681261.2242642.173713
0.682841.2244322.183676
0.684421.2246382.193632
0.686011.2248832.203579
0.687591.2251672.213518
0.689171.2254882.223448
0.690751.2258472.233369
0.692331.2262442.243281
0.693911.2266792.253183
0.69551.2271512.263077
0.697081.227662.272961
0.698661.2282062.282835
0.700241.2287882.292699
0.701821.2294072.302553
0.70341.2300622.312397
0.704981.2307542.32223
0.706561.2314812.332053
0.708141.2322432.341865
0.709721.2330422.351667
0.711311.2338752.361457
0.712891.2347432.371236
0.714471.2356462.381004
0.716051.2365832.390761
0.717631.2375552.400505
0.719211.2385612.410238
0.720791.23962.419959
0.722371.2406732.429668
0.723951.241782.439364
0.725531.2429192.449049
0.727111.2440922.458721
0.728691.2452972.46838
0.730271.2465352.478026
0.731851.2478052.48766
0.733431.2491062.497281
0.735011.250442.506888
0.736581.2518052.516482
0.738161.2532012.526063
0.739741.2546282.53563
0.741321.2560862.545184
0.74291.2575752.554724
0.744481.2590942.56425
0.746061.2606432.573762
0.747641.2622222.583261
0.749221.2638312.592745
0.750791.2654692.602215
0.752371.2671372.61167
0.753951.2688332.621111
0.755531.2705582.630538
0.757111.2723112.63995
0.758691.2740932.649348
0.760261.2759032.658731
0.761841.277742.668098
0.763421.2796062.677451
0.7651.2814982.686789
0.766581.2834182.696112
0.768151.2853652.70542
0.769731.2873382.714712
0.771311.2893382.72399
0.772891.2913652.733252
0.774461.2934172.742498
0.776041.2954952.751729
0.777621.2975992.760945
0.779191.2997282.770145
0.780771.3018822.779329
0.782351.3040612.788498
0.783921.3062662.797651
0.78551.3084942.806788
0.787081.3107472.815909
0.788651.3130242.825015
0.790231.3153252.834105
0.79181.317652.843178
0.793381.3199992.852236
0.794961.322372.861278
0.796531.3247652.870303
0.798111.3271832.879312
0.799681.3296232.888306
0.801261.3320862.897283
0.802831.3345722.906244
0.804411.3370792.915189
0.805981.3396082.924117
0.807561.342162.93303
0.809131.3447322.941925
0.810711.3473262.950805
0.812281.3499422.959669
0.813861.3525782.968516
0.815431.3552352.977346
0.817011.3579132.986161
0.818581.3606112.994958
0.820161.363333.00374
0.821731.3660683.012505
0.82331.3688273.021253
0.824881.3716053.029986
0.826451.3744033.038701
0.828031.377223.0474
0.82961.3800563.056083
0.831171.3829123.064749
0.832751.3857863.073399
0.834321.3886793.082032
0.835891.3915913.090649
0.837461.3945213.09925
0.839041.3974693.107834
0.840611.4004353.116401
0.842181.4034193.124952
0.843751.4064213.133487
0.845331.4094413.142005
0.84691.4124783.150506
0.848471.4155323.158991
0.850041.4186033.16746
0.851621.4216913.175912
0.853191.4247963.184348
0.854761.4279173.192767
0.856331.4310563.20117
0.85791.434213.209557
0.859471.4373813.217927
0.861041.4405673.226281
0.862611.443773.234618
0.864191.4469883.242939
0.865761.4502223.251243
0.867331.4534723.259532
0.86891.4567373.267804
0.870471.4600173.27606
0.872041.4633123.284299
0.873611.4666223.292522
0.875181.4699473.300729
0.876751.4732863.308919
0.878321.476643.317094
0.879891.4800083.325252
0.881461.4833913.333394
0.883031.4867883.34152
0.88461.4901993.34963
0.886161.4936243.357724
0.887731.4970623.365801
0.88931.5005143.373862
0.890871.503983.381908
0.892441.5074593.389937
0.894011.5109513.39795
0.895581.5144563.405947
0.897141.5179753.413929
0.898711.5215063.421894
0.900281.525053.429844
0.901851.5286073.437777
0.903421.5321763.445695
0.904981.5357583.453597
0.906551.5393523.461483
0.908121.5429593.469353
0.909681.5465773.477208
0.911251.5502073.485047
0.912821.553853.492869
0.914381.5575043.500677
0.915951.561173.508469
0.917521.5648473.516245
0.919081.5685363.524005
0.920651.5722363.53175
0.922221.5759473.53948
0.923781.579673.547193
0.925351.5834033.554892
0.926911.5871483.562574
0.928481.5909033.570242
0.930041.5946693.577894
0.931611.5984463.585531
0.933171.6022333.593152
0.934741.6060313.600758
0.93631.6098393.608349
0.937871.6136583.615924
0.939431.6174863.623484
0.940991.6213253.631029
0.942561.6251743.638559
0.944121.6290323.646074
0.945691.63293.653574
0.947251.6367783.661058
0.948811.6406663.668528
0.950381.6445633.675982
0.951941.648473.683422
0.95351.6523863.690846
0.955061.6563113.698256
0.956631.6602453.70565
0.958191.6641893.713031
0.959751.6681413.720396
0.961311.6721033.727746
0.962881.6760733.735081
0.964441.6800523.742402
0.9661.684043.749708
0.967561.6880363.757
0.969121.6920413.764276
0.970681.6960543.771538
0.972251.7000763.778786
0.973811.7041063.786019
0.975371.7081443.793238
0.976931.712193.800442
0.978491.7162453.807631
0.980051.7203073.814807
0.981611.7243773.821968
0.983171.7284553.829114
0.984731.7325413.836246
0.986291.7366343.843364
0.987851.7407363.850468
0.989411.7448453.857557
0.990971.7489613.864633
0.992521.7530843.871694
0.994081.7572153.878741
0.995641.7613533.885774
0.99721.7654993.892793
0.998761.7696513.899798
1.012691.8070993.961835
1.016081.8162893.976759
1.019461.8255123.991625
1.022851.8347684.006431
1.026241.8440574.02118
1.029631.8533774.035871
1.033021.8627294.050504
1.03641.8721114.06508
1.039791.8815244.079598
1.043191.8909664.09406
1.046581.9004384.108465
1.049971.9099394.122814
1.053361.9194674.137106
1.056751.9290234.151343
1.060141.9386074.165525
1.063541.9482174.179651
1.066931.9578544.193723
1.070331.9675164.20774
1.073721.9772044.221702
1.077111.9869174.235611
1.080511.9966544.249465
1.083912.0064164.263267
1.08732.0162014.277015
1.09072.026014.29071
1.09412.0358414.304352
1.09752.0456954.317942
1.100892.055574.33148
1.104292.0654684.344966
1.107692.0753874.358399
1.111092.0853274.371782
1.114492.0952874.385114
1.117892.1052684.398395
1.121292.1152684.411625
1.12472.1252884.424806
1.12812.1353284.437936
1.13152.1453854.451016
1.13492.1554624.464046
1.138312.1655564.477028
1.141712.1756694.48996
1.145112.1857994.502843
1.148522.1959464.515678
1.151922.206114.528465
1.155332.216294.541204
1.158742.2264874.553895
1.162142.23674.566538
1.165552.2469294.579134
1.168962.2571734.591683
1.172372.2674324.604185
1.175782.2777064.616641
1.179182.2879954.62905
1.182592.2982974.641413
1.1862.3086144.653731
1.189422.3189454.666002
1.192832.3292894.678228
1.196242.3396474.69041
1.199652.3500174.702546
1.203062.36044.714637
1.206472.3707964.726684
1.209892.3812044.738687
1.21332.3916244.750646
1.216722.4020564.762561
1.220132.41254.774432
1.223552.4229554.78626
1.226962.4334214.798045
1.230382.4438984.809787
1.233792.4543864.821487
1.237212.4648844.833143
1.240632.4753924.844758
1.244052.4859114.856331
1.247472.4964394.867861
1.250882.5069784.87935
1.25432.5175254.890798
1.257722.5280824.902205
1.261142.5386484.91357
1.264562.5492234.924895
1.267992.5598074.936179
1.271412.5703994.947423
1.274832.5814.958627
1.278252.5916094.96979
1.281682.6022264.980914
1.28512.612854.991998
1.288522.6234825.003043
1.291952.6341225.014049
1.295372.6447695.025016
1.29882.6554245.035944
1.302222.6660855.046833
1.305652.6767535.057684
1.309082.6874285.068497
1.312512.6981095.079272
1.315932.7087975.090009
1.319362.7194915.100708
1.322792.7301915.11137
1.326222.7408975.121995
1.329652.7516095.132582
1.333082.7623265.143133
1.336512.7730495.153647
1.339942.7837775.164125
1.343372.7945115.174566
1.34682.805255.184971
1.350242.8159935.19534
1.353672.8267425.205673
1.35712.8374955.21597
1.360542.8482535.226232
1.363972.8590155.236459
1.367412.8697825.246651
1.370842.8805525.256808
1.374282.8913275.266929
1.377712.9021065.277017
1.381152.9128895.28707
1.384592.9236755.297088
1.388032.9344655.307073
1.391462.9452595.317023
1.39492.9560565.32694
1.398342.9668565.336823
1.401782.977665.346673
1.405222.9884665.35649
1.408662.9992765.366273
1.41213.0100885.376024
1.415543.0209035.385741
1.418993.0317215.395426
1.422433.0425425.405079
1.425873.0533655.414699
1.429313.064195.424287
1.432763.0750185.433843
1.43623.0858485.443368
1.439653.096685.45286
1.443093.1075145.462321
1.446543.1183495.47175
1.449983.1291875.481149
1.453433.1400275.490516
1.456883.1508685.499852
1.460323.1617115.509158
1.463773.1725555.518433
1.467223.1834015.527677
1.470673.1942485.536891
1.474123.2050965.546075
1.477573.2159455.555228
1.481023.2267965.564352
1.484473.2376475.573446
1.487923.24855.58251
1.491373.2593535.591545
1.494823.2702075.60055
1.498283.2810625.609526
1.501733.2919185.618473
1.505183.3027745.627391
1.508643.3136315.636281
1.512093.3244885.645141
1.515553.3353465.653973
1.5193.3462035.662777
1.522463.3570615.671552
1.525913.367925.680299
1.529373.3787785.689018
1.532833.3896365.697709
1.536283.4004955.706373
1.539743.4113535.715009
1.54323.4222115.723617
1.546663.4330695.732198
1.550123.4439275.740752
1.553583.4547845.749278
1.557043.4656425.757778
1.56053.4764985.766251
1.563963.4873555.774697
1.567423.498215.783116
1.570893.5090655.791509
1.574353.519925.799875
1.577813.5307745.808215
1.581283.5416275.816529
1.584743.5524795.824817
1.58823.563335.83308
1.591673.5741815.841316
1.595143.5850315.849527
1.59863.5958795.857712
1.602073.6067275.865872
1.605533.6175735.874006
1.6093.6284195.882115
1.612473.6392635.8902
1.615943.6501065.898259
1.619413.6609485.906293
1.622883.6717895.914303
1.626353.6826285.922288
1.629823.6934665.930248
1.633293.7043025.938184
1.636763.7151375.946096
1.640233.725975.953984
1.64373.7368025.961847
1.647173.7476325.969687
1.650653.7584615.977502
1.654123.7692885.985294
1.657593.7801135.993062
1.661073.7909376.000807
1.664543.8017596.008528
1.668023.8125796.016227
1.67153.8233976.023901
1.674973.8342136.031553
1.678453.8450286.039181
1.681933.855846.046787
1.68543.8666516.05437
1.688883.8774596.06193

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
—