Optical constants

Refractive index of TiN (Titanium nitride)

Beliaev et al. 2023: Sputtering; n,k 0.211-20.0 µm

Data
tabulated nk
Range
0.2114–20 µm
Points
1176
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.2114–20 µm
Refractive index n
0.842645
Extinction coefficient k
2.18073
Permittivity ε1
-4.04553
Permittivity ε2
3.67516
Absorption coefficient α
466369 cm⁻¹
Penetration depth δ = λ/(2πk)
42.8845 nm
Abbe number Vd
—
Chromatic dispersion dn/dλ
-1.81646 µm⁻¹
Group index ng
1.90999
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): Beliaev et al. 2023: Sputtering; n,k 0.211-20.0 µm
tin = ls.fetch_refractiveindex("main", "TiN", "Beliaev-sputtering", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(tin.range_nm)  # (211.4, 20000) 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

50 nm thick film deposited by pulsed-DC sputtering.

Conditions

film thickness
50e-9
substrate
Si

References

L. Yu. Beliaev, E. Shkondin, A. V. Lavrinenko, O. Takayama. Optical properties of plasmonic titanium nitride thin films from ultraviolet to mid-infrared wavelengths deposited by pulsed-DC sputtering, thermal and plasma-enhanced atomic layer deposition. Opt. Mater. 143, 114237 (2023) (Numerical data kindly provided by Osamu Takayama)
  • doi:10.1016/j.optmat.2023.114237 Optical properties of plasmonic titanium nitride thin films from ultraviolet to mid-infrared wavelengths deposited by pulsed-DC sputtering, thermal and plasma-enhanced atomic layer deposition, Optical Materials (2023)

Cite

Leonid Yu. Beliaev, Evgeniy Shkondin, Andrei V. Lavrinenko and Osamu Takayama. Optical properties of plasmonic titanium nitride thin films from ultraviolet to mid-infrared wavelengths deposited by pulsed-DC sputtering, thermal and plasma-enhanced atomic layer deposition. Optical Materials, 143, 114237 (2023), doi:10.1016/j.optmat.2023.114237; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

1176 rows as published
TiN (Titanium nitride), Beliaev et al. 2023: Sputtering; n,k 0.211-20.0 µm: n and k versus wavelength
λ (µm)nk
0.21142.474011.97842
0.212982.498731.94326
0.214562.521091.91041
0.216142.541371.87953
0.217722.559791.85035
0.21932.576561.82264
0.220892.591851.79624
0.222472.605791.77099
0.224052.618521.74678
0.225632.630131.7235
0.227212.640711.70106
0.22882.650351.67941
0.230382.659131.65846
0.231962.667091.63817
0.233542.674291.61849
0.235132.68081.59939
0.236712.686641.58081
0.238292.691861.56275
0.239872.696511.54515
0.241462.70061.52801
0.243042.704171.5113
0.244622.707261.495
0.246212.709871.47908
0.247792.712051.46354
0.249372.71381.44837
0.250962.715161.43353
0.252542.716131.41903
0.254122.716731.40485
0.255712.716991.39099
0.257292.716911.37742
0.258872.716521.36414
0.260462.715811.35115
0.262042.714811.33844
0.263632.713531.32599
0.265212.711971.3138
0.26682.710151.30187
0.268382.708081.29018
0.269962.705761.27874
0.271552.703211.26753
0.273132.700421.25656
0.274722.697421.24581
0.27632.69421.23528
0.277892.690781.22496
0.279472.687161.21486
0.281062.683341.20497
0.282642.679331.19528
0.284232.675141.18579
0.285812.670771.1765
0.28742.666231.1674
0.288982.661521.15849
0.290572.656641.14977
0.292152.65161.14123
0.293742.646411.13286
0.295332.641061.12468
0.296912.635571.11667
0.29852.629931.10883
0.300082.624151.10117
0.301672.618231.09367
0.303252.612171.08633
0.304842.605981.07915
0.306432.599651.07214
0.308012.59321.06528
0.30962.586631.05858
0.311192.579931.05203
0.312772.57311.04564
0.314362.566161.0394
0.315952.559111.0333
0.317532.551931.02735
0.319122.544641.02155
0.32072.537241.01589
0.322292.529731.01037
0.323882.522111.00499
0.325472.514390.99976
0.327052.506550.99466
0.328642.498620.9897
0.330232.490580.98487
0.331812.482430.98018
0.33342.474190.97563
0.334992.465850.97121
0.336582.45740.96692
0.338162.448860.96276
0.339752.440220.95873
0.341342.431490.95484
0.342922.422660.95107
0.344512.413730.94743
0.34612.404710.94392
0.347692.39560.94053
0.349282.38640.93728
0.350862.37710.93415
0.352452.367710.93114
0.354042.358230.92827
0.355632.348660.92552
0.357212.3390.92289
0.35882.329250.92039
0.360392.319420.91802
0.361982.309490.91577
0.363572.299480.91365
0.365152.289370.91165
0.366742.279190.90978
0.368332.268910.90803
0.369922.258550.90641
0.371512.24810.90492
0.37312.237560.90355
0.374682.226940.90231
0.376272.216240.9012
0.377862.205450.90022
0.379452.194570.89937
0.381042.183610.89864
0.382632.172570.89805
0.384222.161440.89759
0.385812.150230.89726
0.387392.138930.89706
0.388982.127560.89699
0.390572.116090.89706
0.392162.104550.89727
0.393752.092930.89761
0.395342.081220.89809
0.396932.069430.89871
0.398522.057560.89947
0.400112.045620.90038
0.401692.033590.90142
0.403282.021480.90261
0.404872.009290.90395
0.406461.997030.90544
0.408051.984690.90708
0.409641.972270.90886
0.411231.959770.91081
0.412821.94720.9129
0.414411.934560.91516
0.4161.921840.91757
0.417591.909050.92015
0.419181.896190.92289
0.420771.883260.9258
0.422351.870260.92887
0.423941.85720.93212
0.425531.844060.93553
0.427121.830870.93913
0.428711.817610.9429
0.43031.804290.94685
0.431891.790910.95099
0.433481.777480.95531
0.435071.763990.95982
0.436661.750450.96453
0.438251.736860.96942
0.439841.723220.97452
0.441431.709540.97981
0.443021.695820.9853
0.444611.682060.991
0.44621.668270.99691
0.447791.654451.00303
0.449381.64061.00936
0.450971.626731.01591
0.452561.612841.02267
0.454151.598931.02965
0.455741.585021.03686
0.457331.57111.04429
0.458921.557181.05195
0.460511.543271.05983
0.46211.529371.06795
0.463691.515491.07629
0.465281.501621.08487
0.466871.487791.09368
0.468461.473991.10273
0.470051.460241.11201
0.471641.446531.12153
0.473231.432871.13129
0.474821.419271.14128
0.476411.405751.1515
0.4781.392291.16195
0.479591.378921.17264
0.481181.365631.18356
0.482771.352441.19471
0.484361.339361.20608
0.485951.326381.21768
0.487541.313511.2295
0.489131.300771.24153
0.490721.288151.25378
0.492311.275671.26623
0.49391.263331.27889
0.495491.251131.29175
0.497081.239091.3048
0.498671.22721.31804
0.500261.215481.33146
0.501851.203921.34506
0.503441.192541.35883
0.505031.181321.37277
0.506621.170291.38686
0.508211.159441.40111
0.50981.148771.4155
0.511391.13831.43003
0.512981.128011.44469
0.514571.117911.45947
0.516161.108011.47437
0.517751.09831.48938
0.519341.088781.5045
0.520931.079471.51971
0.522521.070341.53502
0.524111.061421.5504
0.525691.052691.56587
0.527281.044151.58141
0.528871.035811.59701
0.530461.027661.61267
0.532051.01971.62838
0.533641.011931.64415
0.535231.004341.65995
0.536820.996951.6758
0.538410.989741.69167
0.540.98271.70757
0.541590.975851.7235
0.543180.969171.73945
0.544770.962671.75541
0.546360.956341.77138
0.547950.950181.78736
0.549540.944181.80334
0.551130.938351.81932
0.552720.932671.8353
0.554310.927151.85128
0.55590.921791.86724
0.557490.916581.88319
0.559080.911511.89913
0.560670.906591.91505
0.562260.901821.93095
0.563850.897181.94684
0.565440.892681.96269
0.567030.888311.97853
0.568610.884081.99434
0.57020.879972.01012
0.571790.875992.02587
0.573380.872132.04159
0.574970.868392.05728
0.576560.864772.07293
0.578150.861262.08855
0.579740.857872.10414
0.581330.854582.11969
0.582920.851412.1352
0.584510.848332.15068
0.58610.845372.16611
0.587680.84252.18151
0.589270.839732.19687
0.590860.837062.21219
0.592450.834482.22746
0.594040.831992.2427
0.595630.829592.2579
0.597220.827282.27305
0.598810.825062.28817
0.600390.822922.30324
0.601980.820872.31827
0.603570.818892.33326
0.605160.8172.3482
0.606750.815182.3631
0.608340.813432.37796
0.609930.811762.39278
0.611510.810162.40756
0.61310.808642.42229
0.614690.807182.43698
0.616280.805792.45163
0.617870.804472.46623
0.619460.803212.4808
0.621040.802022.49532
0.622630.800882.5098
0.624220.799812.52424
0.625810.79882.53863
0.62740.797852.55299
0.628980.796952.5673
0.630570.796112.58157
0.632160.795332.5958
0.633750.79462.60999
0.635330.793922.62414
0.636920.79332.63825
0.638510.792732.65232
0.64010.79222.66635
0.641680.791732.68034
0.643270.79132.69429
0.644860.790922.70821
0.646450.790592.72208
0.648030.79032.73591
0.649620.790052.74971
0.651210.789852.76347
0.65280.78972.77719
0.654380.789582.79087
0.655970.789512.80451
0.657560.789472.81812
0.659140.789482.83169
0.660730.789532.84522
0.662320.789612.85872
0.66390.789732.87218
0.665490.789892.88561
0.667080.790082.899
0.668660.790312.91235
0.670250.790582.92567
0.671840.790882.93895
0.673420.791212.9522
0.675010.791582.96542
0.676590.791982.9786
0.678180.792412.99175
0.679770.792873.00486
0.681350.793373.01794
0.682940.793893.03099
0.684520.794453.044
0.686110.795043.05698
0.68770.795653.06993
0.689280.796293.08285
0.690870.796963.09573
0.692450.797663.10859
0.694040.798393.12141
0.695620.799143.1342
0.697210.799923.14696
0.698790.800733.15969
0.700380.801563.17239
0.701960.802413.18506
0.703550.80333.19769
0.705130.80423.2103
0.706720.805133.22288
0.70830.806083.23543
0.709890.807063.24795
0.711470.808063.26044
0.713060.809083.2729
0.714640.810133.28534
0.716230.81123.29774
0.717810.812283.31012
0.71940.813393.32247
0.720980.814523.33479
0.722560.815683.34708
0.724150.816853.35935
0.725730.818043.37159
0.727320.819253.3838
0.72890.820493.39599
0.730480.821743.40815
0.732070.823013.42028
0.733650.82433.43239
0.735230.82563.44447
0.736820.826933.45652
0.73840.828283.46855
0.739980.829643.48055
0.741570.831023.49253
0.743150.832413.50448
0.744730.833833.51641
0.746310.835263.52832
0.74790.836713.54019
0.749480.838173.55205
0.751060.839653.56388
0.752640.841153.57568
0.754230.842663.58746
0.755810.844193.59922
0.757390.845733.61096
0.758970.847293.62267
0.760560.848863.63435
0.762140.850453.64602
0.763720.852053.65766
0.76530.853673.66928
0.766880.85533.68087
0.768460.856943.69244
0.770040.85863.70399
0.771630.860283.71552
0.773210.861963.72703
0.774790.863663.73851
0.776370.865383.74997
0.777950.86713.76141
0.779530.868843.77283
0.781110.87063.78422
0.782690.872363.7956
0.784270.874143.80695
0.785850.875933.81828
0.787430.877733.82959
0.789010.879543.84088
0.790590.881373.85215
0.792170.883213.8634
0.793750.885063.87463
0.795330.886923.88584
0.796910.888793.89703
0.798490.890673.90819
0.800070.892573.91934
0.801650.894473.93047
0.803230.896393.94157
0.804810.898323.95266
0.806390.900263.96373
0.807970.90223.97478
0.809550.904163.98581
0.811130.906133.99682
0.81270.908114.00781
0.814280.91014.01878
0.815860.91214.02973
0.817440.914114.04066
0.819020.916134.05158
0.820590.918164.06247
0.822170.920194.07335
0.823750.922244.08421
0.825330.92434.09505
0.826910.926364.10587
0.828480.928444.11668
0.830060.930524.12746
0.831640.932624.13823
0.833210.934724.14898
0.834790.936834.15971
0.836370.938954.17042
0.837940.941084.18112
0.839520.943214.1918
0.84110.945364.20246
0.842670.947514.2131
0.844250.949674.22373
0.845830.951844.23434
0.84740.954024.24493
0.848980.956214.2555
0.850550.95844.26606
0.852130.96064.2766
0.85370.962814.28712
0.855280.965034.29763
0.856860.967264.30812
0.858430.969494.31859
0.860010.971734.32905
0.861580.973974.33949
0.863150.976234.34991
0.864730.978494.36032
0.86630.980764.37071
0.867880.983044.38108
0.869450.985324.39144
0.871030.987614.40178
0.87260.989914.4121
0.874170.992214.42241
0.875750.994524.43271
0.877320.996844.44298
0.878890.999164.45324
0.880471.00154.46349
0.882041.003834.47372
0.883611.006184.48393
0.885191.008534.49413
0.886761.010884.50431
0.888331.013254.51448
0.88991.015624.52463
0.891481.017994.53476
0.893051.020384.54488
0.894621.022764.55499
0.896191.025164.56508
0.897761.027564.57515
0.899341.029974.58521
0.900911.032384.59525
0.902481.03484.60527
0.904051.037224.61528
0.905621.039654.62528
0.907191.042094.63526
0.908761.044534.64522
0.910331.046984.65517
0.91191.049434.6651
0.913471.051894.67501
0.915041.054354.68491
0.916611.056824.69479
0.918181.059284.70466
0.919751.061764.71451
0.921321.064234.72434
0.922891.066714.73416
0.924461.069194.74397
0.926031.071684.75376
0.92761.074174.76353
0.929171.076664.77329
0.930741.079154.78304
0.93231.081654.79277
0.933871.084154.80249
0.935441.086664.8122
0.937011.089164.82189
0.938581.091674.83157
0.940141.094194.84123
0.941711.09674.85088
0.943281.099224.86052
0.944851.101744.87014
0.946411.104264.87975
0.947981.106794.88935
0.949551.109324.89893
0.951111.111854.90851
0.952681.114384.91806
0.954251.116924.92761
0.955811.119464.93714
0.957381.1224.94666
0.958941.124554.95617
0.960511.127094.96567
0.962071.129644.97515
0.963641.13224.98462
0.96521.134754.99408
0.966771.137315.00353
0.968331.139875.01296
0.96991.142435.02238
0.971461.144995.03179
0.973031.147565.04119
0.974591.150135.05058
0.976161.15275.05995
0.977721.155275.06931
0.979281.157855.07866
0.980851.160425.088
0.982411.1635.09733
0.983971.165595.10665
0.985541.168175.11595
0.98711.170765.12524
0.988661.173355.13452
0.990221.175945.14379
0.991791.178535.15305
0.993351.181125.1623
0.994911.183725.17154
0.996471.186325.18076
0.998031.188925.18998
0.999591.191525.19918
1.010611.209945.26381
1.0141.215655.28364
1.01741.221365.30343
1.02081.227085.32318
1.024191.232825.34288
1.027591.238565.36254
1.030991.244315.38216
1.034391.250085.40174
1.037781.255855.42128
1.041181.261635.44078
1.044581.267435.46025
1.047981.273235.47967
1.051381.279045.49905
1.054791.284865.51839
1.058191.290695.5377
1.061591.296535.55697
1.064991.302385.5762
1.068391.308245.59539
1.07181.31415.61454
1.07521.319975.63366
1.07861.325865.65274
1.082011.331755.67179
1.085411.337645.6908
1.088821.343555.70977
1.092231.349465.72871
1.095631.355385.74761
1.099041.361315.76648
1.102451.367255.78532
1.105851.373195.80411
1.109261.379145.82288
1.112671.38515.84161
1.116081.391075.86031
1.119491.397045.87897
1.12291.403025.8976
1.126311.4095.9162
1.129721.414995.93476
1.133131.420995.95329
1.136541.4275.97179
1.139961.433015.99026
1.143371.439036.00869
1.146781.445056.0271
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12.4804222.179528.41047
12.628822.359128.55929
12.7807522.5417428.71073
12.9363922.7274828.86484
13.095922.9162329.02157
13.2593623.1083829.18119
13.4269623.3038529.34365
13.5988623.502829.50904
13.7752223.7053629.67747
13.9562123.9116629.84903
14.1420124.1217530.02374
14.3328324.3357430.20167
14.5288724.5537430.38294
14.7303624.7758730.56764
14.937525.0021930.7559
15.1505525.2327830.94783
15.3697725.4676931.14358
15.5954425.7071331.34344
15.8278225.9510431.54748
16.0672326.1997231.75606
16.3139926.4532731.96939
16.5684726.7120232.18776
16.8309926.9761332.41143
17.1019727.2458432.64057
17.3818127.5215432.87552
17.6709727.803433.11646
17.9699428.0917833.36367
18.2791628.3870633.61743
18.5992228.6894333.87798
18.9306828.9992434.14555
19.2742129.3169334.42055
19.630429.6427634.70325
20.029.9772434.99405

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
—