Optical constants

Refractive index of TiN (Titanium nitride)

Shkondin et al. 2017: Annealed at 900 °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
1.01754
Extinction coefficient k
1.93066
Permittivity ε1
-2.69207
Permittivity ε2
3.92906
Absorption coefficient α
412890 cm⁻¹
Penetration depth δ = λ/(2πk)
48.439 nm
Abbe number Vd
—
Chromatic dispersion dn/dλ
-0.372956 µm⁻¹
Group index ng
1.23669
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 900 °C; n,k 0.211–1.69 µm
tin = ls.fetch_refractiveindex("main", "TiN", "Shkondin-900", 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 900 °C.

Conditions

film thickness
105e-9
substrate
Si
annealing temperature
1173

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 900 °C; n,k 0.211–1.69 µm: n and k versus wavelength
λ (µm)nk
0.210731.7425271.483874
0.212311.7649911.484445
0.213891.7869781.483846
0.215471.8084381.482145
0.217051.8293281.47941
0.218631.8496121.475708
0.220211.8692541.471104
0.221791.8882271.465663
0.223371.9065071.459448
0.224951.9240731.45252
0.226521.9409081.44494
0.22811.9570021.436765
0.229681.9723451.428052
0.231261.9869321.418857
0.232842.000761.409232
0.234422.013831.399226
0.236012.0261451.388889
0.237592.0377111.378267
0.239172.0485341.367404
0.240752.0586251.356342
0.242332.0679951.345121
0.243912.0766561.333777
0.245492.0846221.322347
0.247072.0919091.310863
0.248652.0985331.299356
0.250232.104511.287856
0.251812.1098581.276389
0.253392.1145961.26498
0.254972.118741.253654
0.256562.1223111.24243
0.258142.1253261.23133
0.259722.1278051.220372
0.26132.1297661.209572
0.262882.1312291.198947
0.264462.1322111.188509
0.266042.1327321.178273
0.267632.1328091.168249
0.269212.132461.15845
0.270792.1317021.148883
0.272372.1305541.139559
0.273952.1290321.130485
0.275542.1271531.121669
0.277122.1249321.113117
0.27872.1223861.104834
0.280282.119531.096826
0.281872.116381.089098
0.283452.112951.081655
0.285032.1092551.074499
0.286612.1053081.067634
0.28822.1011251.061063
0.289782.0967191.054789
0.291362.0921021.048814
0.292942.087291.043141
0.294532.0822931.03777
0.296112.0771271.032704
0.297692.0718021.027945
0.299272.0663331.023493
0.300862.0607311.019349
0.302442.055011.015514
0.304022.0491821.011989
0.305612.0432591.008774
0.307192.0372541.00587
0.308772.0311811.003276
0.310362.0250521.000992
0.311942.0188790.999018
0.313522.0126770.997353
0.315112.0064590.995995
0.316692.0002390.994945
0.318281.994030.994199
0.319861.9878470.993756
0.321441.9817050.993612
0.323031.9756180.993765
0.324611.9696030.994211
0.326191.9636730.994945
0.327781.9578460.995963
0.329361.9521380.997257
0.330951.9465650.998821
0.332531.9411441.000648
0.334121.9358931.002727
0.33571.9308281.005049
0.337281.9259691.007602
0.338871.9213311.010372
0.340451.9169331.013347
0.342041.9127921.016508
0.343621.9089261.019839
0.345211.9053521.023319
0.346791.9020861.026927
0.348371.8991451.030639
0.349961.8965431.034429
0.351541.8942941.038267
0.353131.892411.042125
0.354711.8909031.045969
0.35631.8897821.049763
0.357881.8890531.053468
0.359471.888721.057046
0.361051.8887841.060452
0.362641.8892431.063641
0.364221.8900891.066565
0.365811.8913131.069175
0.367391.8928971.071417
0.368981.894821.07324
0.370561.8970521.074586
0.372151.8995581.075401
0.373731.9022931.075628
0.375321.9052031.075211
0.37691.9082231.074097
0.378491.9112791.072235
0.380071.914281.06958
0.381661.9171231.066096
0.383251.9196891.061756
0.384831.9218441.056551
0.386421.9234381.050494
0.3881.9243051.043629
0.389591.9242711.03604
0.391171.9231621.02786
0.392761.9208161.019286
0.394341.9171131.010584
0.395931.9120061.002093
0.397521.905570.994207
0.39911.8980590.987327
0.400691.8899350.981765
0.402271.8818590.977603
0.403861.874560.974537
0.405441.8685630.97179
0.407031.8638340.968263
0.408621.859540.962984
0.41021.8542490.955742
0.411791.8466490.947445
0.413371.8364250.939742
0.414961.8245430.934023
0.416541.8125980.930538
0.418131.8017560.928396
0.419721.7921590.926337
0.42131.7831590.923534
0.422891.7739160.919853
0.424471.7638560.915643
0.426061.7527910.911395
0.427651.7408130.907498
0.429231.728140.904171
0.430821.7149940.901474
0.43241.7015390.899371
0.433991.687870.897787
0.435581.6740210.896644
0.437161.6599870.895882
0.438751.6457390.895469
0.440341.6312410.895398
0.441921.6164570.895686
0.443511.6013640.896365
0.445091.5859480.89748
0.446681.5702080.899083
0.448271.5541580.901228
0.449851.5378230.903969
0.451441.5212420.907353
0.453021.5044630.911426
0.454611.4875390.916224
0.45621.4705360.921774
0.457781.4535190.928093
0.459371.4365580.935191
0.460961.4197260.943065
0.462541.403090.951701
0.464131.3867190.961077
0.465711.3706760.971164
0.46731.3550180.981921
0.468891.3397970.993303
0.470471.3250571.00526
0.472061.3108341.017736
0.473651.2971541.030675
0.475231.2840391.044018
0.476821.27151.057706
0.478411.2595411.071683
0.479991.2481611.085896
0.481581.2373511.100291
0.483161.2270991.114822
0.484751.2173861.129445
0.486341.2081931.144121
0.487921.1994951.158816
0.489511.1912691.1735
0.49111.1834881.188147
0.492681.1761251.202736
0.494271.1691541.217248
0.495851.1625491.231671
0.497441.1562841.245992
0.499031.1503361.260203
0.500611.144681.274299
0.50221.1392961.288277
0.503791.1341631.302132
0.505371.1292631.315867
0.506961.1245781.329481
0.508541.1200921.342977
0.510131.1157911.356355
0.511721.1116611.369621
0.51331.1076921.382778
0.514891.1038711.395828
0.516471.1001891.408778
0.518061.0966381.42163
0.519651.093211.434389
0.521231.0898971.447059
0.522821.0866941.459645
0.52441.0835951.47215
0.525991.0805951.484578
0.527581.0776891.496934
0.529161.0748751.509219
0.530751.0721471.521438
0.532331.0695041.533594
0.533921.0669411.54569
0.535511.0644581.557727
0.537091.062051.56971
0.538681.0597181.581639
0.540261.0574571.593519
0.541851.0552671.605349
0.543441.0531461.617132
0.545021.0510921.62887
0.546611.0491061.640564
0.548191.0471831.652216
0.549781.0453251.663827
0.551361.0435291.675398
0.552951.0417951.686931
0.554541.0401221.698425
0.556121.0385081.709883
0.557711.0369531.721305
0.559291.0354551.732692
0.560881.0340151.744044
0.562461.032631.755362
0.564051.0313011.766647
0.565631.0300261.777899
0.567221.0288041.78912
0.568811.0276351.800308
0.570391.0265191.811465
0.571981.0254531.822592
0.573561.0244381.833687
0.575151.0234731.844753
0.576731.0225571.855789
0.578321.0216891.866796
0.57991.0208681.877773
0.581491.0200951.888721
0.583071.0193671.899641
0.584661.0186861.910532
0.586241.0180491.921396
0.587831.0174561.932231
0.589411.0169071.943039
0.5911.01641.95382
0.592581.0159361.964573
0.594171.0155141.975299
0.595751.0151321.985998
0.597341.0147911.996672
0.598921.014492.007318
0.600511.0142282.017939
0.602091.0140042.028533
0.603681.0138192.039101
0.605261.0136712.049645
0.606851.013562.060163
0.608431.0134862.070655
0.610011.0134472.081122
0.61161.0134442.091565
0.613181.0134752.101982
0.614771.0135412.112376
0.616351.0136412.122745
0.617941.0137742.133089
0.619521.013942.14341
0.62111.0141382.153707
0.622691.0143682.16398
0.624271.014632.17423
0.625861.0149222.184457
0.627441.0152462.19466
0.629021.0155992.20484
0.630611.0159822.214997
0.632191.0163952.225132
0.633781.0168362.235244
0.635361.0173062.245334
0.636941.0178042.255402
0.638531.018332.265448
0.640111.0188832.275471
0.641691.0194642.285473
0.643281.0200712.295454
0.644861.0207042.305413
0.646441.0213632.31535
0.648031.0220482.325267
0.649611.0227582.335162
0.651191.0234932.345037
0.652781.0242532.354891
0.654361.0250372.364724
0.655941.0258442.374537
0.657521.0266762.38433
0.659111.0275312.394103
0.660691.0284092.403856
0.662271.029312.413588
0.663861.0302342.423301
0.665441.031182.432995
0.667021.0321482.442669
0.66861.0331372.452324
0.670191.0341482.461959
0.671771.035182.471576
0.673351.0362342.481173
0.674931.0373072.490752
0.676521.0384022.500312
0.67811.0395172.509854
0.679681.0406512.519377
0.681261.0418062.528882
0.682841.042982.538368
0.684421.0441732.547837
0.686011.0453852.557287
0.687591.0466172.56672
0.689171.0478672.576135
0.690751.0491352.585532
0.692331.0504222.594912
0.693911.0517272.604275
0.69551.053052.61362
0.697081.0543912.622948
0.698661.0557492.632259
0.700241.0571242.641553
0.701821.0585172.65083
0.70341.0599262.660091
0.704981.0613522.669334
0.706561.0627952.678562
0.708141.0642552.687772
0.709721.0657312.696967
0.711311.0672222.706145
0.712891.068732.715307
0.714471.0702542.724453
0.716051.0717932.733583
0.717631.0733482.742697
0.719211.0749182.751796
0.720791.0765042.760878
0.722371.0781042.769946
0.723951.079722.778997
0.725531.081352.788033
0.727111.0829942.797054
0.728691.0846542.806059
0.730271.0863272.81505
0.731851.0880152.824025
0.733431.0897172.832986
0.735011.0914332.841931
0.736581.0931632.850861
0.738161.0949072.859777
0.739741.0966642.868678
0.741321.0984352.877565
0.74291.1002192.886437
0.744481.1020162.895294
0.746061.1038262.904137
0.747641.105652.912966
0.749221.1074862.92178
0.750791.1093352.930581
0.752371.1111972.939367
0.753951.1130722.948139
0.755531.1149592.956898
0.757111.1168582.965642
0.758691.1187692.974373
0.760261.1206932.98309
0.761841.1226292.991792
0.763421.1245773.000482
0.7651.1265363.009158
0.766581.1285083.017821
0.768151.1304913.02647
0.769731.1324853.035105
0.771311.1344923.043727
0.772891.1365093.052337
0.774461.1385383.060932
0.776041.1405793.069515
0.777621.142633.078085
0.779191.1446923.086642
0.780771.1467663.095185
0.782351.148853.103716
0.783921.1509453.112234
0.78551.1530513.12074
0.787081.1551673.129232
0.788651.1572943.137712
0.790231.1594313.146179
0.79181.1615793.154633
0.793381.1637373.163076
0.794961.1659063.171505
0.796531.1680853.179922
0.798111.1702733.188327
0.799681.1724723.196719
0.801261.1746813.205099
0.802831.17693.213467
0.804411.1791283.221823
0.805981.1813663.230167
0.807561.1836143.238498
0.809131.1858723.246818
0.810711.1881393.255125
0.812281.1904153.263421
0.813861.1927013.271704
0.815431.1949973.279976
0.817011.1973013.288236
0.818581.1996153.296484
0.820161.2019383.30472
0.821731.204273.312945
0.82331.2066113.321158
0.824881.2089613.32936
0.826451.211323.33755
0.828031.2136883.345728
0.82961.2160653.353895
0.831171.218453.36205
0.832751.2208443.370194
0.834321.2232473.378327
0.835891.2256583.386448
0.837461.2280783.394558
0.839041.2305063.402657
0.840611.2329423.410744
0.842181.2353873.41882
0.843751.237843.426885
0.845331.2403023.434939
0.84691.2427713.442982
0.848471.2452493.451014
0.850041.2477353.459035
0.851621.2502293.467045
0.853191.252733.475044
0.854761.255243.483031
0.856331.2577583.491009
0.85791.2602833.498975
0.859471.2628163.50693
0.861041.2653573.514875
0.862611.2679063.522809
0.864191.2704623.530732
0.865761.2730253.538644
0.867331.2755973.546546
0.86891.2781763.554437
0.870471.2807623.562318
0.872041.2833553.570188
0.873611.2859563.578047
0.875181.2885653.585896
0.876751.291183.593734
0.878321.2938033.601562
0.879891.2964333.60938
0.881461.299073.617187
0.883031.3017143.624984
0.88461.3043653.63277
0.886161.3070233.640547
0.887731.3096883.648312
0.88931.312363.656068
0.890871.3150393.663813
0.892441.3177243.671548
0.894011.3204173.679273
0.895581.3231163.686987
0.897141.3258223.694692
0.898711.3285343.702386
0.900281.3312533.710071
0.901851.3339793.717745
0.903421.3367113.725409
0.904981.339453.733064
0.906551.3421953.740708
0.908121.3449473.748342
0.909681.3477053.755966
0.911251.350473.763581
0.912821.353243.771185
0.914381.3560173.77878
0.915951.3588013.786365
0.917521.361593.79394
0.919081.3643863.801505
0.920651.3671873.80906
0.922221.3699953.816606
0.923781.3728093.824141
0.925351.3756293.831668
0.926911.3784553.839184
0.928481.3812873.846691
0.930041.3841253.854187
0.931611.3869683.861675
0.933171.3898183.869153
0.934741.3926733.876621
0.93631.3955343.88408
0.937871.3984013.891528
0.939431.4012733.898968
0.940991.4041523.906398
0.942561.4070353.913819
0.944121.4099253.92123
0.945691.412823.928632
0.947251.4157213.936023
0.948811.4186273.943406
0.950381.4215383.95078
0.951941.4244553.958144
0.95351.4273783.965498
0.955061.4303063.972843
0.956631.4332393.980179
0.958191.4361773.987506
0.959751.4391213.994823
0.961311.442074.002131
0.962881.4450244.00943
0.964441.4479844.016719
0.9661.4509494.024
0.967561.4539194.031271
0.969121.4568934.038532
0.970681.4598734.045785
0.972251.4628584.053029
0.973811.4658484.060264
0.975371.4688444.067489
0.976931.4718444.074705
0.978491.4748484.081912
0.980051.4778584.08911
0.981611.4808734.096299
0.983171.4838934.103479
0.984731.4869174.11065
0.986291.4899464.117812
0.987851.492984.124965
0.989411.4960194.132109
0.990971.4990624.139244
0.992521.502114.14637
0.994081.5051634.153487
0.995641.508224.160596
0.99721.5112824.167695
0.998761.5143484.174786
1.012691.5419754.237814
1.016081.5487484.253041
1.019461.5555444.268232
1.022851.5623634.283387
1.026241.5692034.298507
1.029631.5760664.313592
1.033021.5829514.328643
1.03641.5898574.343658
1.039791.5967844.35864
1.043191.6037334.373586
1.046581.6107024.388498
1.049971.6176924.403375
1.053361.6247034.418219
1.056751.6317344.433028
1.060141.6387854.447803
1.063541.6458574.462545
1.066931.6529484.477252
1.070331.6600584.491926
1.073721.6671884.506566
1.077111.6743364.521173
1.080511.6815044.535747
1.083911.688694.550287
1.08731.6958954.564794
1.09071.7031194.579268
1.09411.710364.593709
1.09751.717624.608118
1.100891.7248974.622493
1.104291.7321924.636836
1.107691.7395044.651146
1.111091.7468344.665424
1.114491.754184.679669
1.117891.7615444.693883
1.121291.7689244.708064
1.12471.7763214.722213
1.12811.7837344.73633
1.13151.7911644.750415
1.13491.7986094.764468
1.138311.806074.77849
1.141711.8135474.79248
1.145111.821044.806438
1.148521.8285474.820365
1.151921.836074.834261
1.155331.8436094.848125
1.158741.8511624.861959
1.162141.8587294.875761
1.165551.8663124.889532
1.168961.8739084.903273
1.172371.8815194.916982
1.175781.8891444.930661
1.179181.8967834.944309
1.182591.9044364.957927
1.1861.9121024.971514
1.189421.9197824.985071
1.192831.9274754.998597
1.196241.9351825.012093
1.199651.9429015.025559
1.203061.9506335.038996
1.206471.9583795.052402
1.209891.9661365.065778
1.21331.9739075.079125
1.216721.9816895.092441
1.220131.9894845.105728
1.223551.997295.118986
1.226962.0051095.132214
1.230382.0129395.145413
1.233792.0207815.158582
1.237212.0286355.171722
1.240632.03655.184834
1.244052.0443765.197915
1.247472.0522635.210968
1.250882.0601615.223993
1.25432.068075.236988
1.257722.075995.249955
1.261142.083925.262893
1.264562.0918615.275802
1.267992.0998125.288683
1.271412.1077745.301535
1.274832.1157455.314359
1.278252.1237265.327155
1.281682.1317185.339923
1.28512.1397195.352662
1.288522.1477295.365374
1.291952.1557495.378057
1.295372.1637785.390713
1.29882.1718175.403341
1.302222.1798655.415941
1.305652.1879215.428514
1.309082.1959875.441059
1.312512.2040615.453576
1.315932.2121445.466066
1.319362.2202355.478529
1.322792.2283355.490964
1.326222.2364435.503373
1.329652.244565.515754
1.333082.2526845.528108
1.336512.2608175.540436
1.339942.2689575.552736
1.343372.2771055.565009
1.34682.2852615.577256
1.350242.2934255.589476
1.353672.3015965.60167
1.35712.3097745.613837
1.360542.3179595.625978
1.363972.3261525.638092
1.367412.3343515.65018
1.370842.3425585.662242
1.374282.3507725.674277
1.377712.3589925.686287
1.381152.3672195.698271
1.384592.3754525.710228
1.388032.3836925.72216
1.391462.3919385.734066
1.39492.400195.745947
1.398342.4084495.757802
1.401782.4167145.769631
1.405222.4249845.781435
1.408662.4332615.793213
1.41212.4415435.804966
1.415542.4498315.816694
1.418992.4581255.828397
1.422432.4664245.840075
1.425872.4747285.851727
1.429312.4830385.863355
1.432762.4913535.874957
1.43622.4996735.886535
1.439652.5079985.898088
1.443092.5163295.909617
1.446542.5246645.921121
1.449982.5330045.9326
1.453432.5413495.944055
1.456882.5496985.955485
1.460322.5580525.966892
1.463772.5664115.978274
1.467222.5747745.989631
1.470672.5831416.000965
1.474122.5915126.012275
1.477572.5998886.023561
1.481022.6082686.034822
1.484472.6166516.04606
1.487922.6250396.057275
1.491372.633436.068465
1.494822.6418256.079632
1.498282.6502246.090775
1.501732.6586276.101895
1.505182.6670336.112992
1.508642.6754436.124065
1.512092.6838566.135115
1.515552.6922726.146142
1.5192.7006916.157145
1.522462.7091146.168126
1.525912.717546.179084
1.529372.7259696.190018
1.532832.7344016.20093
1.536282.7428356.211819
1.539742.7512736.222685
1.54322.7597136.233529
1.546662.7681566.24435
1.550122.7766026.255149
1.553582.785056.265925
1.557042.7935016.276678
1.56052.8019546.28741
1.563962.8104096.298119
1.567422.8188676.308806
1.570892.8273276.319471
1.574352.8357896.330114
1.577812.8442536.340735
1.581282.852726.351334
1.584742.8611886.361911
1.58822.8696586.372466
1.591672.878136.383
1.595142.8866046.393512
1.59862.8950796.404003
1.602072.9035576.414471
1.605532.9120366.424919
1.6092.9205166.435345
1.612472.9289986.44575
1.615942.9374816.456134
1.619412.9459666.466496
1.622882.9544526.476837
1.626352.962946.487157
1.629822.9714296.497457
1.633292.9799186.507735
1.636762.9884096.517993
1.640232.9969016.528229
1.64373.0053946.538445
1.647173.0138886.54864
1.650653.0223836.558815
1.654123.0308786.568969
1.657593.0393746.579103
1.661073.0478726.589216
1.664543.0563696.599309
1.668023.0648686.609382
1.67153.0733676.619434
1.674973.0818666.629466
1.678453.0903666.639478
1.681933.0988676.64947
1.68543.1073686.659443
1.688883.1158696.669395

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
—