Optical constants

Refractive index of TiO2 (Titanium dioxide)

Devore 1951: n(o) 0.43–1.53 µm

Data
formula 4
Range
0.43–1.53 µm
Optical axis
o
State
crystalline
Licence
CC0-1.0
Lightsmith
bundled

Uniaxial crystal, axes: oe

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.43–1.53 µm
Refractive index n
2.61423
Extinction coefficient k
0
Permittivity ε1
6.83422
Permittivity ε2
0
Absorption coefficient α
0 cm⁻¹
Penetration depth δ = λ/(2πk)
— nm
Abbe number Vd
9.8685
Chromatic dispersion dn/dλ
-0.781446 µm⁻¹
Group index ng
3.07341
Group velocity dispersion
1928.64 fs²/mm
Dispersion parameter D
-10521.8 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

# TiO2 (Titanium dioxide): Devore 1951: n(o) 0.43–1.53 µm
tio2 = ls.LibraryMaterial(name="TiO2", dataset="Devore-o")
print(tio2.range_nm)  # (430, 1530) nm
eps = tio2.eps([633])  # complex permittivity

Ships with the library: works offline.

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.

Dispersion formula

RefractiveIndex.INFO (formula 4), λ in µm
n2=5.913+0.2441λ0.0λ2−0.08031.0

Valid from 0.43 to 1.53 µm.

Coefficients as stored
CiValue
C15.913
C20.2441
C30.0
C40.0803
C51.0
C60.0
C70.0
C80.0
C91.0

Comments and conditions

Ordinary ray (o); Room temperature.

Conditions

direction
o

References

J. R. Devore. Refractive indices of rutile and sphalerite. J. Opt. Soc. Am. 41, 416-419 (1951)

Cite

J. R. DeVore. Refractive Indices of Rutile and Sphalerite. Journal of the Optical Society of America, 41, 416 (1951), doi:10.1364/josa.41.000416; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

Computed on 400 wavelengths, the same grid as the API and the library
TiO2 (Titanium dioxide), Devore 1951: n(o) 0.43–1.53 µm: n and k versus wavelength
λ (µm)n
0.432.871698
0.431372.867162
0.4327442.86269
0.4341232.858283
0.4355062.853938
0.4368942.849654
0.4382862.84543
0.4396822.841264
0.4410832.837157
0.4424892.833106
0.4438982.829111
0.4453132.82517
0.4467322.821282
0.4481552.817447
0.4495832.813663
0.4510152.80993
0.4524522.806246
0.4538942.80261
0.455342.799023
0.4567912.795482
0.4582462.791987
0.4597062.788537
0.4611712.785131
0.462642.781769
0.4641142.77845
0.4655932.775173
0.4670762.771937
0.4685642.768742
0.4700572.765586
0.4715552.76247
0.4730572.759392
0.4745652.756352
0.4760772.753349
0.4775932.750383
0.4791152.747453
0.4806422.744558
0.4821732.741698
0.4837092.738872
0.485252.73608
0.4867962.733321
0.4883472.730595
0.4899032.7279
0.4914642.725238
0.493032.722606
0.4946012.720005
0.4961772.717433
0.4977582.714892
0.4993442.712379
0.5009352.709896
0.5025312.70744
0.5041322.705013
0.5057382.702612
0.5073492.700239
0.5089662.697893
0.5105872.695572
0.5122142.693277
0.5138462.691008
0.5154832.688764
0.5171262.686544
0.5187732.684348
0.5204262.682177
0.5220842.680029
0.5237482.677904
0.5254162.675803
0.527092.673723
0.528772.671666
0.5304552.669631
0.5321452.667618
0.533842.665626
0.5355412.663655
0.5372472.661705
0.5389592.659775
0.5406762.657865
0.5423992.655976
0.5441272.654105
0.5458612.652255
0.54762.650423
0.5493452.64861
0.5510952.646815
0.5528512.645039
0.5546122.643281
0.5563792.641541
0.5581522.639819
0.559932.638114
0.5617142.636425
0.5635042.634754
0.5652992.6331
0.56712.631462
0.5689072.62984
0.570722.628235
0.5725382.626645
0.5743622.625071
0.5761922.623512
0.5780282.621968
0.579872.62044
0.5817172.618926
0.5835712.617428
0.585432.615943
0.5872952.614473
0.5891672.613017
0.5910442.611575
0.5929272.610147
0.5948162.608732
0.5967112.607331
0.5986122.605944
0.600522.604569
0.6024332.603207
0.6043522.601858
0.6062782.600522
0.6082092.599198
0.6101472.597887
0.6120912.596588
0.6140412.595301
0.6159982.594026
0.6179612.592762
0.6199292.591511
0.6219052.59027
0.6238862.589042
0.6258742.587824
0.6278682.586618
0.6298682.585422
0.6318752.584238
0.6338882.583064
0.6359082.581901
0.6379342.580748
0.6399672.579606
0.6420062.578474
0.6440512.577352
0.6461032.57624
0.6481622.575138
0.6502272.574046
0.6522992.572963
0.6543772.57189
0.6564622.570827
0.6585532.569773
0.6606522.568728
0.6627562.567693
0.6648682.566666
0.6669862.565649
0.6691122.56464
0.6712432.563641
0.6733822.562649
0.6755282.561667
0.677682.560693
0.6798392.559727
0.6820052.55877
0.6841782.557821
0.6863582.55688
0.6885452.555948
0.6907382.555023
0.6929392.554106
0.6951472.553197
0.6973622.552295
0.6995842.551402
0.7018132.550516
0.7040492.549637
0.7062922.548766
0.7085422.547902
0.71082.547045
0.7130642.546196
0.7153362.545353
0.7176152.544518
0.7199022.54369
0.7221962.542869
0.7244972.542054
0.7268052.541246
0.7291212.540445
0.7314442.539651
0.7337742.538863
0.7361122.538082
0.7384572.537307
0.740812.536538
0.743172.535776
0.7455382.53502
0.7479142.53427
0.7502962.533526
0.7526872.532789
0.7550852.532057
0.7574912.531331
0.7599042.530611
0.7623262.529897
0.7647542.529189
0.7671912.528487
0.7696352.52779
0.7720872.527099
0.7745472.526413
0.7770152.525733
0.7794912.525058
0.7819742.524389
0.7844662.523725
0.7869652.523066
0.7894732.522413
0.7919882.521765
0.7945112.521122
0.7970432.520484
0.7995822.519851
0.802132.519223
0.8046852.5186
0.8072492.517982
0.8098212.517369
0.8124012.51676
0.814992.516157
0.8175872.515558
0.8201912.514964
0.8228052.514374
0.8254262.513789
0.8280562.513209
0.8306942.512633
0.8333412.512062
0.8359962.511495
0.838662.510933
0.8413322.510374
0.8440122.509821
0.8467022.509271
0.8493992.508726
0.8521052.508185
0.854822.507648
0.8575442.507115
0.8602762.506586
0.8630172.506062
0.8657672.505541
0.8685252.505024
0.8712922.504512
0.8740682.504003
0.8768532.503498
0.8796472.502997
0.882452.5025
0.8852612.502006
0.8880822.501516
0.8909112.50103
0.893752.500548
0.8965982.500069
0.8994542.499594
0.902322.499123
0.9051952.498655
0.9080792.498191
0.9109722.49773
0.9138752.497272
0.9167862.496818
0.9197072.496368
0.9226382.49592
0.9255772.495476
0.9285262.495036
0.9314852.494599
0.9344522.494165
0.937432.493734
0.9404162.493306
0.9434132.492882
0.9464192.49246
0.9494342.492042
0.9524592.491627
0.9554942.491215
0.9585382.490806
0.9615922.490401
0.9646562.489998
0.9677292.489598
0.9708122.489201
0.9739062.488807
0.9770092.488416
0.9801212.488027
0.9832442.487642
0.9863772.487259
0.989522.486879
0.9926722.486502
0.9958352.486128
0.9990082.485757
1.002192.485388
1.005382.485022
1.008592.484658
1.01182.484297
1.015022.483939
1.018262.483584
1.02152.483231
1.024762.48288
1.028022.482532
1.03132.482187
1.034582.481844
1.037882.481504
1.041192.481166
1.04452.48083
1.047832.480497
1.051172.480166
1.054522.479838
1.057882.479512
1.061252.479189
1.064632.478867
1.068022.478548
1.071432.478232
1.074842.477917
1.078262.477605
1.08172.477295
1.085152.476987
1.08862.476682
1.092072.476379
1.095552.476077
1.099042.475778
1.102542.475482
1.106062.475187
1.109582.474894
1.113122.474603
1.116662.474315
1.120222.474028
1.123792.473744
1.127372.473462
1.130962.473181
1.134562.472903
1.138182.472626
1.141812.472352
1.145442.472079
1.149092.471808
1.152752.47154
1.156432.471273
1.160112.471008
1.163812.470745
1.167522.470483
1.171242.470224
1.174972.469966
1.178712.46971
1.182472.469456
1.186232.469204
1.190012.468954
1.193812.468705
1.197612.468458
1.201422.468213
1.205252.467969
1.209092.467727
1.212952.467487
1.216812.467249
1.220692.467012
1.224582.466777
1.228482.466543
1.232392.466311
1.236322.466081
1.240262.465852
1.244212.465625
1.248172.4654
1.252152.465176
1.256142.464953
1.260142.464733
1.264162.464513
1.268182.464295
1.272222.464079
1.276282.463864
1.280342.463651
1.284422.463439
1.288522.463229
1.292622.46302
1.296742.462812
1.300872.462606
1.305022.462402
1.309172.462198
1.313352.461997
1.317532.461796
1.321732.461597
1.325942.461399
1.330162.461203
1.33442.461008
1.338652.460814
1.342922.460622
1.34722.460431
1.351492.460241
1.355792.460053
1.360112.459866
1.364452.45968
1.36882.459495
1.373162.459312
1.377532.45913
1.381922.458949
1.386322.45877
1.390742.458591
1.395172.458414
1.399622.458238
1.404082.458064
1.408552.45789
1.413042.457718
1.417542.457546
1.422062.457376
1.426592.457208
1.431132.45704
1.435692.456873
1.440272.456708
1.444852.456543
1.449462.45638
1.454082.456218
1.458712.456057
1.463362.455897
1.468022.455738
1.47272.455581
1.477392.455424
1.48212.455268
1.486822.455114
1.491562.45496
1.496312.454808
1.501072.454656
1.505862.454506
1.510662.454356
1.515472.454208
1.52032.45406
1.525142.453914
1.532.453769

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
—