At one wavelength

Refractive index n: 2.49231
Extinction coefficient k: 0

Permittivity ε₁: 6.21161
Permittivity ε₂: 0

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

Abbe number V_d: —
Chromatic dispersion dn/dλ: -0.56377 µm⁻¹

Group index n_g: 2.82358
Group velocity dispersion: — fs²/mm

Dispersion parameter D: — 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

# TiO2 (Titanium dioxide): Jolivet et al. 2023: Anatase thin film; n,k 0.207–0.827 µm
tio2 = ls.fetch_refractiveindex("main", "TiO2", "Jolivet-anatase", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(tio2.range_nm)  # (206.64, 826.56) nm
eps = tio2.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_a161b026a344/lightsmith"
tio2 = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(tio2.source)  # citation and provenance travel with the data

Any dataset here, as the library's Tabulated material (tio2/jolivet-2023-anatase).

# ... load tio2 as above, then:
sim = ls.Simulation(
    particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=tio2)],
    medium_index=1.0,
    wavelengths=ls.WavelengthRange(start_nm=400, stop_nm=826, 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"]).

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.

Comments and conditions

TiO₂ anatase thin film deposited by ALD at 300 °C

References

A. Jolivet, C. Labbé, C. Frilay, O. Debieu, P. Marie, B. Horcholle, F. Lemarié, X. Portier, C. Grygiel, S. Duprey, W. Jadwisienczak, D. Ingram, M. Upadhyay, A. David, A. Fouchet, U. Lüders, J. Cardin. Structural, optical, and electrical properties of TiO₂ thin films deposited by ALD: Impact of the substrate, the deposited thickness and the deposition temperature. Appl. Surf. Sci. 608, 155214 (2023) (Numerical data kindly provided by Julien Cardin)

doi:10.1016/j.apsusc.2022.155214 Structural, optical, and electrical properties of TiO2 thin films deposited by ALD: Impact of the substrate, the deposited thickness and the deposition temperature, Applied Surface Science (2023)

Cite

Aline Jolivet et al.. Structural, optical, and electrical properties of TiO2 thin films deposited by ALD: Impact of the substrate, the deposited thickness and the deposition temperature. Applied Surface Science, 608, 155214 (2023), doi:10.1016/j.apsusc.2022.155214; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

451 rows as published

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

TiO2 (Titanium dioxide), Jolivet et al. 2023: Anatase thin film; n,k 0.207–0.827 µm: n and k versus wavelength
λ (µm)	n	k
0.20664	1.62407	1.32064
0.20699	1.62786	1.32392
0.20733	1.63168	1.3272
0.20768	1.63554	1.33049
0.20803	1.63943	1.33378
0.20838	1.64335	1.33707
0.20873	1.6473	1.34037
0.20908	1.65129	1.34366
0.20943	1.65531	1.34696
0.20979	1.65937	1.35027
0.21014	1.66346	1.35357
0.2105	1.66759	1.35688
0.21086	1.67175	1.36019
0.21122	1.67594	1.36351
0.21158	1.68018	1.36682
0.21194	1.68445	1.37014
0.2123	1.68875	1.37346
0.21267	1.69309	1.37678
0.21303	1.69747	1.3801
0.2134	1.70189	1.38343
0.21377	1.70635	1.38675
0.21414	1.71084	1.39008
0.21451	1.71538	1.3934
0.21488	1.71995	1.39673
0.21525	1.72456	1.40006
0.21562	1.72922	1.40339
0.216	1.73391	1.40672
0.21638	1.73865	1.41005
0.21676	1.74343	1.41338
0.21714	1.74825	1.41671
0.21752	1.75311	1.42004
0.2179	1.75801	1.42337
0.21828	1.76296	1.4267
0.21867	1.76796	1.43002
0.21905	1.773	1.43335
0.21944	1.77808	1.43667
0.21983	1.78321	1.44
0.22022	1.78838	1.44332
0.22061	1.79361	1.44664
0.22101	1.79888	1.44995
0.2214	1.80419	1.45327
0.2218	1.80956	1.45658
0.22219	1.81497	1.45988
0.22259	1.82043	1.46319
0.22299	1.82595	1.46649
0.22339	1.83151	1.46978
0.2238	1.83713	1.47307
0.2242	1.84279	1.47636
0.22461	1.84851	1.47964
0.22502	1.85429	1.48291
0.22543	1.86011	1.48618
0.22584	1.86599	1.48945
0.22625	1.87193	1.4927
0.22666	1.87792	1.49595
0.22708	1.88397	1.49919
0.22749	1.89007	1.50243
0.22791	1.89623	1.50565
0.22833	1.90245	1.50887
0.22875	1.90873	1.51207
0.22918	1.91507	1.51527
0.2296	1.92147	1.51846
0.23003	1.92793	1.52164
0.23045	1.93445	1.5248
0.23088	1.94103	1.52795
0.23131	1.94768	1.53109
0.23175	1.9544	1.53422
0.23218	1.96117	1.53734
0.23262	1.96802	1.54043
0.23305	1.97492	1.54352
0.23349	1.9819	1.54659
0.23393	1.98895	1.54964
0.23437	1.99606	1.55268
0.23482	2.00325	1.55569
0.23526	2.0105	1.55869
0.23571	2.01783	1.56167
0.23616	2.02523	1.56463
0.23661	2.0327	1.56757
0.23706	2.04024	1.57049
0.23752	2.04787	1.57338
0.23797	2.05556	1.57625
0.23843	2.06334	1.5791
0.23889	2.07119	1.58192
0.23935	2.07912	1.58471
0.23981	2.08714	1.58748
0.24028	2.09523	1.59022
0.24075	2.1034	1.59292
0.24121	2.11166	1.5956
0.24168	2.12	1.59825
0.24216	2.12843	1.60086
0.24263	2.13694	1.60343
0.24311	2.14554	1.60597
0.24358	2.15423	1.60848
0.24406	2.163	1.61094
0.24454	2.17187	1.61336
0.24503	2.18082	1.61575
0.24551	2.18987	1.61809
0.246	2.19901	1.62038
0.24649	2.20825	1.62263
0.24698	2.21758	1.62483
0.24747	2.22701	1.62698
0.24797	2.23653	1.62907
0.24847	2.24616	1.63112
0.24896	2.25588	1.63311
0.24947	2.2657	1.63504
0.24997	2.27563	1.63691
0.25047	2.28566	1.63872
0.25098	2.29579	1.64046
0.25149	2.30602	1.64214
0.252	2.31637	1.64375
0.25251	2.32681	1.64529
0.25303	2.33737	1.64676
0.25355	2.34804	1.64815
0.25407	2.35881	1.64946
0.25459	2.3697	1.65069
0.25511	2.38069	1.65183
0.25564	2.3918	1.65289
0.25617	2.40303	1.65386
0.2567	2.41436	1.65474
0.25723	2.42582	1.65551
0.25776	2.43738	1.65619
0.2583	2.44907	1.65677
0.25884	2.46087	1.65723
0.25938	2.47279	1.65759
0.25992	2.48483	1.65784
0.26047	2.49698	1.65796
0.26102	2.50926	1.65797
0.26157	2.52165	1.65785
0.26212	2.53417	1.65759
0.26268	2.5468	1.65721
0.26324	2.55956	1.65668
0.2638	2.57243	1.65601
0.26436	2.58543	1.6552
0.26492	2.59855	1.65423
0.26549	2.61178	1.6531
0.26606	2.62514	1.65181
0.26663	2.63861	1.65036
0.26721	2.65221	1.64873
0.26778	2.66592	1.64692
0.26836	2.67974	1.64493
0.26895	2.69368	1.64274
0.26953	2.70774	1.64037
0.27012	2.72191	1.63779
0.27071	2.73619	1.635
0.2713	2.75057	1.632
0.2719	2.76507	1.62878
0.27249	2.77967	1.62533
0.27309	2.79437	1.62165
0.2737	2.80917	1.61773
0.2743	2.82406	1.61356
0.27491	2.83905	1.60914
0.27552	2.85412	1.60446
0.27613	2.86928	1.59951
0.27675	2.88452	1.59429
0.27737	2.89984	1.58878
0.27799	2.91522	1.58299
0.27862	2.93067	1.5769
0.27924	2.94618	1.57051
0.27987	2.96175	1.56381
0.28051	2.97735	1.55678
0.28114	2.993	1.54944
0.28178	3.00868	1.54176
0.28242	3.02438	1.53374
0.28307	3.04009	1.52538
0.28372	3.05582	1.51666
0.28437	3.07154	1.50758
0.28502	3.08724	1.49814
0.28568	3.10292	1.48832
0.28634	3.11857	1.47813
0.287	3.13417	1.46755
0.28767	3.14971	1.45658
0.28834	3.16518	1.44521
0.28901	3.18057	1.43345
0.28968	3.19586	1.42127
0.29036	3.21103	1.40869
0.29104	3.22608	1.3957
0.29173	3.24099	1.38229
0.29242	3.25575	1.36847
0.29311	3.27033	1.35422
0.2938	3.28472	1.33956
0.2945	3.2989	1.32447
0.2952	3.31286	1.30897
0.29591	3.32658	1.29305
0.29661	3.34004	1.27671
0.29732	3.35322	1.25995
0.29804	3.36611	1.24279
0.29876	3.37868	1.22522
0.29948	3.39092	1.20725
0.3002	3.4028	1.18889
0.30093	3.41432	1.17015
0.30166	3.42544	1.15103
0.3024	3.43616	1.13155
0.30314	3.44645	1.11171
0.30388	3.4563	1.09153
0.30463	3.46568	1.07103
0.30538	3.47459	1.05021
0.30613	3.483	1.02909
0.30689	3.49089	1.00769
0.30765	3.49826	0.98603
0.30842	3.50509	0.96412
0.30919	3.51136	0.94199
0.30996	3.51707	0.91966
0.31074	3.52219	0.89714
0.31152	3.52672	0.87446
0.3123	3.53065	0.85165
0.31309	3.53397	0.82872
0.31388	3.53667	0.8057
0.31468	3.53875	0.78262
0.31548	3.5402	0.7595
0.31629	3.54101	0.73636
0.3171	3.5412	0.71324
0.31791	3.54075	0.69016
0.31873	3.53967	0.66715
0.31955	3.53796	0.64422
0.32037	3.53562	0.62141
0.3212	3.53265	0.59875
0.32204	3.52908	0.57625
0.32288	3.52489	0.55395
0.32372	3.5201	0.53187
0.32457	3.51473	0.51003
0.32542	3.50877	0.48846
0.32627	3.50225	0.46718
0.32714	3.49518	0.44621
0.328	3.48758	0.42557
0.32887	3.47945	0.40528
0.32975	3.47082	0.38537
0.33062	3.4617	0.36585
0.33151	3.45211	0.34673
0.3324	3.44207	0.32805
0.33329	3.43161	0.3098
0.33419	3.42073	0.29201
0.33509	3.40946	0.27468
0.336	3.39783	0.25784
0.33691	3.38584	0.24149
0.33783	3.37354	0.22564
0.33875	3.36092	0.21031
0.33968	3.34803	0.19549
0.34062	3.33488	0.18121
0.34155	3.32149	0.16745
0.3425	3.30789	0.15424
0.34345	3.29409	0.14157
0.3444	3.28013	0.12944
0.34536	3.26602	0.11787
0.34632	3.25178	0.10685
0.34729	3.23744	0.09638
0.34827	3.22302	0.08647
0.34925	3.20855	0.07711
0.35024	3.19404	0.0683
0.35123	3.17951	0.06005
0.35223	3.16499	0.05234
0.35323	3.15051	0.04519
0.35424	3.13607	0.03857
0.35526	3.12172	0.0325
0.35628	3.10746	0.02697
0.3573	3.09333	0.02197
0.35834	3.07935	0.0175
0.35937	3.06554	0.01355
0.36042	3.05193	0.01011
0.36147	3.03855	0.00719
0.36253	3.02544	0.00478
0.36359	3.01262	0.00287
0.36466	3.00015	0.00145
0.36574	2.98807	0.000509
0.36682	2.97647	5.2e-05
0.36791	2.96555	0.0
0.369	2.9553	0.0
0.3701	2.94552	0.0
0.37121	2.93613	0.0
0.37232	2.92708	0.0
0.37345	2.91834	0.0
0.37457	2.90988	0.0
0.37571	2.90167	0.0
0.37685	2.89371	0.0
0.378	2.88596	0.0
0.37916	2.87842	0.0
0.38032	2.87107	0.0
0.38149	2.86391	0.0
0.38267	2.85693	0.0
0.38385	2.8501	0.0
0.38504	2.84344	0.0
0.38624	2.83692	0.0
0.38745	2.83055	0.0
0.38867	2.82431	0.0
0.38989	2.8182	0.0
0.39112	2.81222	0.0
0.39236	2.80636	0.0
0.3936	2.80061	0.0
0.39485	2.79497	0.0
0.39612	2.78945	0.0
0.39739	2.78402	0.0
0.39866	2.77869	0.0
0.39995	2.77347	0.0
0.40124	2.76833	0.0
0.40255	2.76328	0.0
0.40386	2.75833	0.0
0.40518	2.75345	0.0
0.40651	2.74866	0.0
0.40784	2.74395	0.0
0.40919	2.73931	0.0
0.41054	2.73475	0.0
0.41191	2.73026	0.0
0.41328	2.72584	0.0
0.41466	2.7215	0.0
0.41605	2.71721	0.0
0.41746	2.713	0.0
0.41887	2.70884	0.0
0.42029	2.70475	0.0
0.42171	2.70072	0.0
0.42315	2.69675	0.0
0.4246	2.69284	0.0
0.42606	2.68898	0.0
0.42753	2.68517	0.0
0.42901	2.68142	0.0
0.4305	2.67772	0.0
0.432	2.67408	0.0
0.43351	2.67048	0.0
0.43503	2.66693	0.0
0.43656	2.66343	0.0
0.43811	2.65997	0.0
0.43966	2.65656	0.0
0.44122	2.6532	0.0
0.4428	2.64988	0.0
0.44439	2.6466	0.0
0.44599	2.64336	0.0
0.4476	2.64016	0.0
0.44922	2.63701	0.0
0.45085	2.63389	0.0
0.4525	2.63082	0.0
0.45415	2.62778	0.0
0.45582	2.62477	0.0
0.45751	2.62181	0.0
0.4592	2.61888	0.0
0.46091	2.61598	0.0
0.46263	2.61312	0.0
0.46436	2.61029	0.0
0.46611	2.6075	0.0
0.46786	2.60474	0.0
0.46964	2.60201	0.0
0.47142	2.59931	0.0
0.47322	2.59665	0.0
0.47504	2.59401	0.0
0.47686	2.5914	0.0
0.4787	2.58883	0.0
0.48056	2.58628	0.0
0.48243	2.58376	0.0
0.48431	2.58127	0.0
0.48621	2.5788	0.0
0.48813	2.57637	0.0
0.49006	2.57396	0.0
0.492	2.57157	0.0
0.49396	2.56921	0.0
0.49594	2.56688	0.0
0.49793	2.56457	0.0
0.49994	2.56229	0.0
0.50196	2.56003	0.0
0.504	2.5578	0.0
0.50606	2.55558	0.0
0.50813	2.5534	0.0
0.51022	2.55123	0.0
0.51233	2.54909	0.0
0.51446	2.54697	0.0
0.5166	2.54487	0.0
0.51876	2.54279	0.0
0.52094	2.54073	0.0
0.52314	2.5387	0.0
0.52536	2.53668	0.0
0.52759	2.53469	0.0
0.52985	2.53272	0.0
0.53212	2.53076	0.0
0.53441	2.52883	0.0
0.53673	2.52691	0.0
0.53906	2.52502	0.0
0.54142	2.52314	0.0
0.54379	2.52128	0.0
0.54619	2.51944	0.0
0.5486	2.51762	0.0
0.55104	2.51581	0.0
0.5535	2.51403	0.0
0.55598	2.51226	0.0
0.55849	2.51051	0.0
0.56101	2.50877	0.0
0.56356	2.50705	0.0
0.56614	2.50535	0.0
0.56873	2.50367	0.0
0.57136	2.502	0.0
0.574	2.50034	0.0
0.57667	2.49871	0.0
0.57937	2.49709	0.0
0.58209	2.49548	0.0
0.58483	2.49389	0.0
0.5876	2.49231	0.0
0.5904	2.49075	0.0
0.59323	2.48921	0.0
0.59608	2.48767	0.0
0.59896	2.48616	0.0
0.60187	2.48465	0.0
0.6048	2.48316	0.0
0.60777	2.48169	0.0
0.61076	2.48023	0.0
0.61378	2.47878	0.0
0.61684	2.47735	0.0
0.61992	2.47593	0.0
0.62304	2.47452	0.0
0.62618	2.47312	0.0
0.62936	2.47174	0.0
0.63257	2.47037	0.0
0.63582	2.46902	0.0
0.63909	2.46767	0.0
0.64241	2.46634	0.0
0.64575	2.46502	0.0
0.64913	2.46372	0.0
0.65255	2.46242	0.0
0.656	2.46114	0.0
0.65949	2.45987	0.0
0.66302	2.45861	0.0
0.66658	2.45736	0.0
0.67018	2.45613	0.0
0.67383	2.4549	0.0
0.67751	2.45369	0.0
0.68123	2.45249	0.0
0.685	2.45129	0.0
0.6888	2.45011	0.0
0.69265	2.44894	0.0
0.69654	2.44779	0.0
0.70048	2.44664	0.0
0.70446	2.4455	0.0
0.70848	2.44437	0.0
0.71255	2.44326	0.0
0.71667	2.44215	0.0
0.72084	2.44105	0.0
0.72505	2.43997	0.0
0.72932	2.43889	0.0
0.73363	2.43782	0.0
0.738	2.43677	0.0
0.74242	2.43572	0.0
0.74689	2.43468	0.0
0.75142	2.43366	0.0
0.756	2.43264	0.0
0.76064	2.43163	0.0
0.76533	2.43063	0.0
0.77009	2.42964	0.0
0.7749	2.42866	0.0
0.77977	2.42769	0.0
0.78471	2.42673	0.0
0.78971	2.42577	0.0
0.79477	2.42483	0.0
0.7999	2.42389	0.0
0.80509	2.42296	0.0
0.81035	2.42205	0.0
0.81569	2.42114	0.0
0.82109	2.42023	0.0
0.82656	2.41934	0.0

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: —

Plot