Optical constants

Refractive index of TeO₂ (Tellurium dioxide)

Uchida 1971: α-TeO₂; n(e) 0.4–1.0 µm

Data: formula 1
Range: 0.4–1 µm
Optical axis: e
Licence: CC0-1.0

Uniaxial crystal, axes: oe

Axis Log x Log y

Click the plot to set the calculator wavelength.

At one wavelength

Refractive index n: 2.43044
Extinction coefficient k: 0

Permittivity ε₁: 5.90702
Permittivity ε₂: 0

Absorption coefficient α: 0 cm⁻¹
Penetration depth δ = λ/(2πk): — nm

Abbe number V_d: 15.475
Chromatic dispersion dn/dλ: -0.453409 µm⁻¹

Group index n_g: 2.69686
Group velocity dispersion: 1024.41 fs²/mm

Dispersion parameter D: -5588.71 ps/(nm·km)
Photon energy: 2.11001 eV

ε = (n + ik)², α = 4πk/λ, n_g = 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

# TeO2 (Tellurium dioxide): Uchida 1971: α-TeO2; n(e) 0.4–1.0 µm
teo2 = ls.fetch_refractiveindex("main", "TeO2", "Uchida-e", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(teo2.range_nm)  # (400, 1000) nm
eps = teo2.eps([633])  # complex permittivity

Downloads the original record once (pinned to the imported snapshot) and caches it.

import json, urllib.request
import lightsmith as ls

url = "https://materials.lightsmith.dev/v1/datasets/ds_a4179742c4c9/lightsmith"
teo2 = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(teo2.source)  # citation and provenance travel with the data

Any dataset here, as the library's Tabulated material (teo2/uchida-1971-e).

# ... load teo2 as above, then:
sim = ls.Simulation(
    particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=teo2)],
    medium_index=1.0,
    wavelengths=ls.WavelengthRange(start_nm=400, stop_nm=1000, num=81),
)
res = ls.solve(sim)  # exact Mie for a sphere
print(res.q_ext)     # extinction efficiency at each wavelength

Same spec runs with DDA, FDTD, BEM or T-matrix: ls.compare(sim, ["mie", "dda"]).

import json, urllib.request
import lightsmith as ls

url = "https://materials.lightsmith.dev/v1/datasets/ds_a4179742c4c9/lightsmith?model=drude_lorentz"
teo2_dl = ls.DrudeLorentz.model_validate(json.load(urllib.request.urlopen(url)))

A dispersive Drude–Lorentz model for time-domain solvers.

Materials guide Open a sphere of it in Studio Quick start Ask the community

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

Sellmeier (formula 1), λ in µm

n^{2} - 1 = \frac{2.823 λ^{2}}{λ^{2} - {0.1342}^{2}} + \frac{1.542 λ^{2}}{λ^{2} - {0.2631}^{2}}

Valid from 0.4 to 1.0 µm.

Coefficients as stored

C_i	Value
C1	0.0
C2	2.823
C3	0.1342
C4	1.542
C5	0.2631

Comments and conditions

Extraordinary ray (e)

Conditions

direction: e

References

N. Uchida. Optical properties of single-crystal paratellurite (TeO₂). Phys. Rev.B 4, 3736-3745 (1971)

doi:10.1103/physrevb.4.3736 Optical Properties of Single-Crystal Paratellurite (Te<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">O</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>), Physical Review B (1971)

Cite

Naoya Uchida. Optical Properties of Single-Crystal Paratellurite (Te<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">O</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>). Physical Review B, 4, 3736-3745 (1971), doi:10.1103/physrevb.4.3736; 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

CSV comma separated TXT tab separated YAML n, k Full database record original YAML All quantities CSV JSON metadata

TeO2 (Tellurium dioxide), Uchida 1971: α-TeO2; n(e) 0.4–1.0 µm: n and k versus wavelength
λ (µm)	n
0.4	2.626574
0.40092	2.624419
0.401841	2.622286
0.402765	2.620174
0.403691	2.618081
0.404619	2.616009
0.40555	2.613957
0.406482	2.611924
0.407417	2.609911
0.408353	2.607916
0.409292	2.60594
0.410233	2.603983
0.411176	2.602044
0.412122	2.600123
0.413069	2.598219
0.414019	2.596333
0.414971	2.594465
0.415925	2.592613
0.416881	2.590778
0.41784	2.58896
0.4188	2.587158
0.419763	2.585372
0.420728	2.583603
0.421695	2.581849
0.422665	2.58011
0.423637	2.578387
0.424611	2.576679
0.425587	2.574986
0.426565	2.573308
0.427546	2.571644
0.428529	2.569995
0.429514	2.56836
0.430502	2.566739
0.431492	2.565132
0.432484	2.563539
0.433478	2.561959
0.434475	2.560392
0.435473	2.558839
0.436475	2.557299
0.437478	2.555772
0.438484	2.554258
0.439492	2.552756
0.440503	2.551266
0.441515	2.549789
0.44253	2.548324
0.443548	2.546872
0.444568	2.545431
0.44559	2.544001
0.446614	2.542584
0.447641	2.541178
0.44867	2.539783
0.449702	2.5384
0.450736	2.537027
0.451772	2.535666
0.452811	2.534315
0.453852	2.532975
0.454895	2.531646
0.455941	2.530327
0.456989	2.529019
0.45804	2.527721
0.459093	2.526433
0.460148	2.525155
0.461206	2.523887
0.462267	2.522629
0.46333	2.521381
0.464395	2.520142
0.465462	2.518913
0.466533	2.517693
0.467605	2.516483
0.46868	2.515282
0.469758	2.51409
0.470838	2.512907
0.47192	2.511733
0.473005	2.510567
0.474093	2.509411
0.475183	2.508263
0.476275	2.507124
0.47737	2.505993
0.478468	2.504871
0.479568	2.503757
0.48067	2.502651
0.481776	2.501553
0.482883	2.500464
0.483993	2.499382
0.485106	2.498309
0.486222	2.497243
0.487339	2.496185
0.48846	2.495135
0.489583	2.494092
0.490708	2.493057
0.491837	2.492029
0.492967	2.491008
0.494101	2.489995
0.495237	2.48899
0.496375	2.487991
0.497517	2.486999
0.49866	2.486015
0.499807	2.485037
0.500956	2.484067
0.502108	2.483103
0.503262	2.482146
0.504419	2.481196
0.505579	2.480252
0.506741	2.479315
0.507906	2.478385
0.509074	2.477461
0.510245	2.476543
0.511418	2.475632
0.512593	2.474727
0.513772	2.473828
0.514953	2.472936
0.516137	2.472049
0.517324	2.471169
0.518513	2.470295
0.519705	2.469426
0.5209	2.468564
0.522098	2.467707
0.523298	2.466856
0.524501	2.466011
0.525707	2.465172
0.526916	2.464338
0.528127	2.46351
0.529341	2.462687
0.530558	2.46187
0.531778	2.461059
0.533001	2.460253
0.534226	2.459452
0.535455	2.458656
0.536686	2.457866
0.537919	2.457081
0.539156	2.456301
0.540396	2.455526
0.541638	2.454757
0.542884	2.453992
0.544132	2.453233
0.545383	2.452478
0.546637	2.451728
0.547893	2.450984
0.549153	2.450244
0.550416	2.449508
0.551681	2.448778
0.552949	2.448052
0.554221	2.447331
0.555495	2.446615
0.556772	2.445903
0.558052	2.445196
0.559335	2.444493
0.560621	2.443795
0.56191	2.443101
0.563202	2.442412
0.564497	2.441727
0.565795	2.441047
0.567095	2.44037
0.568399	2.439698
0.569706	2.439031
0.571016	2.438367
0.572329	2.437708
0.573645	2.437053
0.574963	2.436402
0.576285	2.435755
0.57761	2.435112
0.578938	2.434473
0.580269	2.433838
0.581603	2.433207
0.582941	2.43258
0.584281	2.431956
0.585624	2.431337
0.586971	2.430722
0.58832	2.43011
0.589673	2.429502
0.591028	2.428898
0.592387	2.428297
0.593749	2.4277
0.595114	2.427107
0.596483	2.426518
0.597854	2.425932
0.599228	2.42535
0.600606	2.424771
0.601987	2.424196
0.603371	2.423624
0.604758	2.423055
0.606149	2.422491
0.607542	2.421929
0.608939	2.421371
0.610339	2.420816
0.611742	2.420265
0.613149	2.419717
0.614558	2.419172
0.615971	2.418631
0.617388	2.418093
0.618807	2.417558
0.62023	2.417026
0.621656	2.416497
0.623085	2.415972
0.624517	2.415449
0.625953	2.41493
0.627392	2.414414
0.628835	2.413901
0.630281	2.41339
0.63173	2.412883
0.633182	2.412379
0.634638	2.411878
0.636097	2.41138
0.637559	2.410885
0.639025	2.410392
0.640494	2.409903
0.641967	2.409416
0.643443	2.408933
0.644922	2.408452
0.646405	2.407974
0.647891	2.407498
0.649381	2.407026
0.650874	2.406556
0.65237	2.406089
0.65387	2.405624
0.655373	2.405163
0.65688	2.404704
0.65839	2.404247
0.659904	2.403794
0.661421	2.403343
0.662942	2.402894
0.664466	2.402448
0.665994	2.402005
0.667525	2.401564
0.66906	2.401126
0.670598	2.40069
0.67214	2.400257
0.673685	2.399826
0.675234	2.399397
0.676786	2.398971
0.678342	2.398548
0.679902	2.398127
0.681465	2.397708
0.683032	2.397292
0.684602	2.396878
0.686176	2.396466
0.687754	2.396057
0.689335	2.39565
0.69092	2.395245
0.692508	2.394843
0.694101	2.394443
0.695696	2.394045
0.697296	2.393649
0.698899	2.393256
0.700506	2.392865
0.702116	2.392476
0.703731	2.392089
0.705349	2.391704
0.70697	2.391322
0.708596	2.390941
0.710225	2.390563
0.711858	2.390187
0.713494	2.389813
0.715135	2.389441
0.716779	2.389071
0.718427	2.388703
0.720079	2.388337
0.721734	2.387973
0.723393	2.387611
0.725057	2.387252
0.726724	2.386894
0.728394	2.386538
0.730069	2.386184
0.731748	2.385832
0.73343	2.385482
0.735116	2.385134
0.736806	2.384788
0.7385	2.384444
0.740198	2.384101
0.7419	2.383761
0.743606	2.383422
0.745315	2.383086
0.747029	2.382751
0.748746	2.382417
0.750468	2.382086
0.752193	2.381757
0.753923	2.381429
0.755656	2.381103
0.757393	2.380779
0.759135	2.380457
0.76088	2.380136
0.762629	2.379817
0.764383	2.3795
0.76614	2.379185
0.767901	2.378871
0.769667	2.378559
0.771437	2.378248
0.77321	2.37794
0.774988	2.377633
0.77677	2.377327
0.778555	2.377024
0.780345	2.376722
0.78214	2.376421
0.783938	2.376122
0.78574	2.375825
0.787547	2.375529
0.789357	2.375235
0.791172	2.374943
0.792991	2.374652
0.794814	2.374363
0.796642	2.374075
0.798473	2.373789
0.800309	2.373504
0.802149	2.373221
0.803993	2.372939
0.805842	2.372659
0.807694	2.37238
0.809551	2.372103
0.811413	2.371827
0.813278	2.371552
0.815148	2.37128
0.817022	2.371008
0.8189	2.370738
0.820783	2.37047
0.82267	2.370202
0.824562	2.369937
0.826457	2.369672
0.828358	2.369409
0.830262	2.369148
0.832171	2.368888
0.834084	2.368629
0.836002	2.368372
0.837924	2.368115
0.83985	2.367861
0.841781	2.367607
0.843717	2.367355
0.845656	2.367105
0.847601	2.366855
0.849549	2.366607
0.851503	2.36636
0.85346	2.366115
0.855422	2.36587
0.857389	2.365627
0.85936	2.365386
0.861336	2.365145
0.863316	2.364906
0.865301	2.364668
0.867291	2.364431
0.869285	2.364196
0.871283	2.363962
0.873286	2.363729
0.875294	2.363497
0.877307	2.363266
0.879324	2.363037
0.881345	2.362809
0.883372	2.362582
0.885403	2.362356
0.887438	2.362131
0.889479	2.361907
0.891524	2.361685
0.893573	2.361464
0.895628	2.361244
0.897687	2.361025
0.899751	2.360807
0.901819	2.36059
0.903893	2.360375
0.905971	2.36016
0.908054	2.359947
0.910142	2.359734
0.912234	2.359523
0.914331	2.359313
0.916433	2.359104
0.91854	2.358896
0.920652	2.358689
0.922769	2.358484
0.924891	2.358279
0.927017	2.358075
0.929148	2.357872
0.931284	2.357671
0.933426	2.35747
0.935572	2.357271
0.937723	2.357072
0.939879	2.356874
0.942039	2.356678
0.944205	2.356482
0.946376	2.356288
0.948552	2.356094
0.950733	2.355902
0.952919	2.35571
0.955109	2.35552
0.957305	2.35533
0.959506	2.355141
0.961712	2.354953
0.963923	2.354767
0.96614	2.354581
0.968361	2.354396
0.970587	2.354212
0.972819	2.354029
0.975055	2.353847
0.977297	2.353666
0.979544	2.353486
0.981796	2.353306
0.984053	2.353128
0.986316	2.35295
0.988583	2.352774
0.990856	2.352598
0.993134	2.352423
0.995418	2.352249
0.997706	2.352076
1	2.351904

Optical transmission calculator

Free-standing sample in vacuum, normal incidence

Transmittance T: —
Reflectance R: —

Fresnel reflection calculator

R_p: —
R_s: —
R = (R_p+R_s)/2: —
Phase φ_p: —
Phase φ_s: —
Brewster angle θ_B: —
Critical angle θ_C: —

TeO₂ (Tellurium dioxide): all datasets

About TeO2 (Tellurium dioxide)

Tellurium dioxide (TeO₂) is a solid, white crystalline compound and is the most commonly encountered oxide of tellurium. It is an amphoteric oxide, meaning it can act both as an acid or a base depending on the reaction. Its unique properties make it useful for a range of applications. One of the most prominent applications of TeO₂ is in the production of glass. Due to its high refractive index and unique dispersive properties, it's used to make acousto-optic devices, which can be used to diffract and modulate light using sound waves. TeO₂ is also a significant precursor in the synthesis of other tellurium compounds. In the field of nonlinear optics, tellurium dioxide crystals have been employed for frequency doubling and other wavelength conversion processes. Its transparent nature in the visible and near-infrared region makes it a favorable material for these optical applications. Polymorphs:

α-TeO₂ (paratellurite): tetragonal
β-TeO₂: orthorhombic

More about TeO2 (Tellurium dioxide) →

Provenance

Version: 1 (snapshot c5c2f18)
Source page: refractiveindex.info
Original file: database/data/main/TeO2/nk/Uchida-e.yml
ID: ds_a4179742c4c9
API: /v1/datasets/ds_a4179742c4c9

Plot