Optical constants

Refractive index of Nb₂O₅ (Niobium pentoxide)

Horcholle et al. 2022: Thin film annealed at 400 °C; n,k 0.207–0.827 µm

Data: tabulated nk
Range: 0.2066–0.8266 µm
Points: 451
Licence: CC0-1.0

Axis Log x Log y

Click the plot to set the calculator wavelength.

At one wavelength

Refractive index n: 2.37756
Extinction coefficient k: 0

Permittivity ε₁: 5.65279
Permittivity ε₂: 0

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

Abbe number V_d: —
Chromatic dispersion dn/dλ: -0.409348 µm⁻¹

Group index n_g: 2.61809
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

# Nb2O5 (Niobium pentoxide): Horcholle et al. 2022: Thin film annealed at 400 °C; n,k 0.207–0.827 µm
nb2o5 = ls.fetch_refractiveindex("main", "Nb2O5", "Horcholle-400", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(nb2o5.range_nm)  # (206.64, 826.56) nm
eps = nb2o5.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_69ee1fa9c6cc/lightsmith"
nb2o5 = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(nb2o5.source)  # citation and provenance travel with the data

Any dataset here, as the library's Tabulated material (nb2o5/horcholle-2022-400).

# ... load nb2o5 as above, then:
sim = ls.Simulation(
    particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=nb2o5)],
    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

Nb₂O₅ thin film deposited by reactive magnetron sputtering and annealed by rapid treatment annealing at 400 °C

References

B. Horcholle, C. Labbé, X. Portier, P. Marie, C. Frilay, W. Yuan, W. Jadwisienczak, D. Ingram, C. Grygiel, J. Cardin. Growth and study of Tb³⁺ doped Nb₂O₅ thin films by radiofrequency magnetron sputtering: photoluminescence properties. Appl. Surf. Sci. 597, 153711 (2022) (Numerical data kindly provided by Julien Cardin)

doi:10.1016/j.apsusc.2022.153711 Growth and study of Tb3+ doped Nb2O5 thin films by radiofrequency magnetron sputtering: Photoluminescence properties, Applied Surface Science (2022)

Cite

Bryan Horcholle et al.. Growth and study of Tb3+ doped Nb2O5 thin films by radiofrequency magnetron sputtering: Photoluminescence properties. Applied Surface Science, 597, 153711 (2022), doi:10.1016/j.apsusc.2022.153711; 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

Nb2O5 (Niobium pentoxide), Horcholle et al. 2022: Thin film annealed at 400 °C; n,k 0.207–0.827 µm: n and k versus wavelength
λ (µm)	n	k
0.20664	1.87824	1.34262
0.20698	1.88345	1.34472
0.20733	1.8887	1.3468
0.20768	1.89398	1.34886
0.20803	1.8993	1.35091
0.20838	1.90467	1.35294
0.20873	1.91007	1.35496
0.20908	1.91551	1.35696
0.20943	1.92099	1.35894
0.20979	1.92652	1.3609
0.21014	1.93208	1.36284
0.2105	1.93768	1.36476
0.21086	1.94333	1.36666
0.21122	1.94902	1.36855
0.21158	1.95474	1.37041
0.21194	1.96052	1.37225
0.2123	1.96633	1.37406
0.21267	1.97219	1.37586
0.21303	1.97809	1.37763
0.2134	1.98403	1.37938
0.21377	1.99002	1.3811
0.21413	1.99605	1.3828
0.21451	2.00212	1.38448
0.21488	2.00824	1.38612
0.21525	2.0144	1.38774
0.21562	2.02061	1.38934
0.216	2.02686	1.3909
0.21638	2.03316	1.39244
0.21676	2.03951	1.39395
0.21713	2.04589	1.39542
0.21752	2.05233	1.39687
0.2179	2.05882	1.39829
0.21828	2.06534	1.39967
0.21867	2.07192	1.40102
0.21905	2.07854	1.40234
0.21944	2.08521	1.40362
0.21983	2.09193	1.40487
0.22022	2.0987	1.40608
0.22061	2.10552	1.40725
0.22101	2.11238	1.40839
0.2214	2.11929	1.40949
0.2218	2.12625	1.41054
0.22219	2.13326	1.41156
0.22259	2.14032	1.41254
0.22299	2.14742	1.41347
0.22339	2.15458	1.41436
0.2238	2.16179	1.41521
0.2242	2.16904	1.41601
0.22461	2.17635	1.41677
0.22502	2.1837	1.41748
0.22543	2.19111	1.41814
0.22584	2.19857	1.41875
0.22625	2.20607	1.41931
0.22666	2.21363	1.41982
0.22708	2.22123	1.42028
0.22749	2.22889	1.42068
0.22791	2.2366	1.42103
0.22833	2.24436	1.42132
0.22875	2.25216	1.42156
0.22918	2.26002	1.42173
0.2296	2.26793	1.42185
0.23003	2.27589	1.42191
0.23045	2.2839	1.4219
0.23088	2.29196	1.42183
0.23131	2.30007	1.4217
0.23175	2.30823	1.4215
0.23218	2.31644	1.42123
0.23262	2.3247	1.42089
0.23305	2.33301	1.42048
0.23349	2.34136	1.42
0.23393	2.34977	1.41945
0.23437	2.35822	1.41882
0.23482	2.36672	1.41812
0.23526	2.37527	1.41734
0.23571	2.38387	1.41647
0.23616	2.39251	1.41553
0.23661	2.40121	1.41451
0.23706	2.40994	1.4134
0.23752	2.41872	1.4122
0.23797	2.42755	1.41092
0.23843	2.43642	1.40955
0.23889	2.44534	1.40809
0.23935	2.45429	1.40654
0.23981	2.46329	1.40489
0.24028	2.47233	1.40314
0.24075	2.48142	1.4013
0.24121	2.49054	1.39936
0.24168	2.4997	1.39732
0.24216	2.50889	1.39518
0.24263	2.51813	1.39293
0.24311	2.5274	1.39057
0.24358	2.5367	1.38811
0.24406	2.54604	1.38553
0.24454	2.55541	1.38285
0.24503	2.56481	1.38005
0.24551	2.57424	1.37713
0.246	2.5837	1.3741
0.24649	2.59318	1.37094
0.24698	2.60269	1.36767
0.24747	2.61222	1.36427
0.24797	2.62177	1.36075
0.24846	2.63134	1.3571
0.24896	2.64093	1.35332
0.24946	2.65054	1.34941
0.24997	2.66016	1.34537
0.25047	2.66979	1.34119
0.25098	2.67943	1.33688
0.25149	2.68908	1.33243
0.252	2.69873	1.32784
0.25251	2.70839	1.32312
0.25303	2.71805	1.31824
0.25355	2.7277	1.31322
0.25407	2.73735	1.30806
0.25459	2.74699	1.30275
0.25511	2.75662	1.29729
0.25564	2.76624	1.29168
0.25617	2.77584	1.28591
0.2567	2.78542	1.28
0.25723	2.79498	1.27392
0.25776	2.80451	1.2677
0.2583	2.81401	1.26131
0.25884	2.82348	1.25476
0.25938	2.83292	1.24806
0.25992	2.84231	1.24119
0.26047	2.85166	1.23417
0.26102	2.86097	1.22698
0.26157	2.87022	1.21962
0.26212	2.87942	1.21211
0.26268	2.88856	1.20443
0.26324	2.89764	1.19658
0.2638	2.90665	1.18857
0.26436	2.91558	1.18039
0.26492	2.92445	1.17205
0.26549	2.93323	1.16354
0.26606	2.94193	1.15487
0.26663	2.95054	1.14603
0.26721	2.95906	1.13702
0.26778	2.96748	1.12786
0.26836	2.97579	1.11852
0.26895	2.984	1.10903
0.26953	2.9921	1.09937
0.27012	3.00009	1.08956
0.27071	3.00795	1.07958
0.2713	3.01569	1.06945
0.27189	3.0233	1.05916
0.27249	3.03077	1.04872
0.27309	3.0381	1.03812
0.2737	3.04529	1.02737
0.2743	3.05233	1.01648
0.27491	3.05921	1.00544
0.27552	3.06594	0.99425
0.27613	3.0725	0.98293
0.27675	3.0789	0.97147
0.27737	3.08512	0.95988
0.27799	3.09117	0.94815
0.27862	3.09704	0.9363
0.27924	3.10272	0.92433
0.27987	3.10821	0.91223
0.28051	3.11351	0.90002
0.28114	3.11861	0.8877
0.28178	3.12351	0.87528
0.28242	3.1282	0.86275
0.28307	3.13269	0.85012
0.28372	3.13697	0.8374
0.28437	3.14102	0.82459
0.28502	3.14486	0.81171
0.28568	3.14848	0.79874
0.28634	3.15187	0.7857
0.287	3.15503	0.7726
0.28767	3.15797	0.75944
0.28833	3.16067	0.74622
0.28901	3.16314	0.73295
0.28968	3.16537	0.71965
0.29036	3.16736	0.7063
0.29104	3.16911	0.69293
0.29173	3.17062	0.67953
0.29241	3.17188	0.66611
0.29311	3.17291	0.65268
0.2938	3.17369	0.63925
0.2945	3.17422	0.62582
0.2952	3.17451	0.6124
0.2959	3.17455	0.59899
0.29661	3.17435	0.58561
0.29732	3.1739	0.57225
0.29804	3.17321	0.55893
0.29876	3.17227	0.54565
0.29948	3.17109	0.53241
0.3002	3.16967	0.51923
0.30093	3.16801	0.50611
0.30166	3.16611	0.49306
0.3024	3.16398	0.48008
0.30314	3.16161	0.46718
0.30388	3.15901	0.45437
0.30463	3.15618	0.44165
0.30538	3.15312	0.42902
0.30613	3.14983	0.4165
0.30689	3.14633	0.40409
0.30765	3.14261	0.39179
0.30842	3.13867	0.37962
0.30919	3.13453	0.36757
0.30996	3.13017	0.35565
0.31074	3.12561	0.34387
0.31152	3.12086	0.33223
0.3123	3.1159	0.32074
0.31309	3.11076	0.3094
0.31388	3.10543	0.29822
0.31468	3.09992	0.28719
0.31548	3.09423	0.27634
0.31629	3.08836	0.26565
0.31709	3.08233	0.25513
0.31791	3.07614	0.2448
0.31872	3.06979	0.23464
0.31955	3.06329	0.22467
0.32037	3.05664	0.21488
0.3212	3.04984	0.20529
0.32204	3.04291	0.1959
0.32287	3.03585	0.1867
0.32372	3.02867	0.1777
0.32457	3.02136	0.16891
0.32542	3.01394	0.16032
0.32627	3.00641	0.15194
0.32713	2.99877	0.14377
0.328	2.99104	0.13581
0.32887	2.98322	0.12807
0.32974	2.97531	0.12054
0.33062	2.96732	0.11324
0.33151	2.95926	0.10615
0.3324	2.95113	0.09929
0.33329	2.94294	0.09265
0.33419	2.93469	0.08623
0.33509	2.92639	0.08004
0.336	2.91805	0.07407
0.33691	2.90967	0.06834
0.33783	2.90126	0.06283
0.33875	2.89283	0.05755
0.33968	2.88438	0.0525
0.34062	2.87591	0.04769
0.34155	2.86745	0.0431
0.3425	2.85898	0.03875
0.34345	2.85052	0.03463
0.3444	2.84208	0.03073
0.34536	2.83366	0.02708
0.34632	2.82527	0.02365
0.34729	2.81692	0.02046
0.34827	2.80862	0.0175
0.34925	2.80037	0.01477
0.35024	2.79218	0.01228
0.35123	2.78407	0.01002
0.35223	2.77604	0.00799
0.35323	2.7681	0.00619
0.35424	2.76027	0.00462
0.35525	2.75255	0.00328
0.35628	2.74497	0.00217
0.3573	2.73753	0.00129
0.35834	2.73026	0.000638
0.35937	2.72319	0.000213
0.36042	2.71636	1.6e-05
0.36147	2.70987	0.0
0.36253	2.7037	0.0
0.36359	2.69775	0.0
0.36466	2.692	0.0
0.36573	2.68643	0.0
0.36682	2.681	0.0
0.3679	2.67573	0.0
0.369	2.67058	0.0
0.3701	2.66556	0.0
0.37121	2.66065	0.0
0.37232	2.65585	0.0
0.37345	2.65116	0.0
0.37457	2.64656	0.0
0.37571	2.64206	0.0
0.37685	2.63765	0.0
0.378	2.63332	0.0
0.37916	2.62908	0.0
0.38032	2.62491	0.0
0.38149	2.62081	0.0
0.38267	2.6168	0.0
0.38385	2.61285	0.0
0.38504	2.60897	0.0
0.38624	2.60515	0.0
0.38745	2.60139	0.0
0.38866	2.5977	0.0
0.38989	2.59407	0.0
0.39112	2.59049	0.0
0.39235	2.58697	0.0
0.3936	2.5835	0.0
0.39485	2.58009	0.0
0.39611	2.57672	0.0
0.39738	2.57341	0.0
0.39866	2.57014	0.0
0.39995	2.56692	0.0
0.40124	2.56375	0.0
0.40255	2.56061	0.0
0.40386	2.55753	0.0
0.40518	2.55448	0.0
0.4065	2.55148	0.0
0.40784	2.54852	0.0
0.40919	2.54559	0.0
0.41054	2.54271	0.0
0.41191	2.53986	0.0
0.41328	2.53705	0.0
0.41466	2.53428	0.0
0.41605	2.53153	0.0
0.41745	2.52883	0.0
0.41886	2.52616	0.0
0.42028	2.52352	0.0
0.42171	2.52091	0.0
0.42315	2.51833	0.0
0.4246	2.51579	0.0
0.42606	2.51327	0.0
0.42753	2.51079	0.0
0.42901	2.50833	0.0
0.4305	2.50591	0.0
0.432	2.50351	0.0
0.43351	2.50114	0.0
0.43503	2.49879	0.0
0.43656	2.49648	0.0
0.43811	2.49419	0.0
0.43966	2.49192	0.0
0.44122	2.48968	0.0
0.4428	2.48746	0.0
0.44439	2.48527	0.0
0.44599	2.4831	0.0
0.4476	2.48096	0.0
0.44922	2.47884	0.0
0.45085	2.47674	0.0
0.4525	2.47466	0.0
0.45415	2.47261	0.0
0.45582	2.47058	0.0
0.45751	2.46857	0.0
0.4592	2.46658	0.0
0.46091	2.46461	0.0
0.46263	2.46266	0.0
0.46436	2.46073	0.0
0.46611	2.45882	0.0
0.46786	2.45693	0.0
0.46964	2.45506	0.0
0.47142	2.4532	0.0
0.47322	2.45137	0.0
0.47503	2.44956	0.0
0.47686	2.44776	0.0
0.4787	2.44598	0.0
0.48056	2.44422	0.0
0.48243	2.44247	0.0
0.48431	2.44074	0.0
0.48621	2.43903	0.0
0.48813	2.43734	0.0
0.49006	2.43566	0.0
0.492	2.434	0.0
0.49396	2.43235	0.0
0.49594	2.43072	0.0
0.49793	2.42911	0.0
0.49994	2.42751	0.0
0.50196	2.42592	0.0
0.504	2.42435	0.0
0.50606	2.4228	0.0
0.50813	2.42126	0.0
0.51022	2.41973	0.0
0.51233	2.41822	0.0
0.51446	2.41672	0.0
0.5166	2.41524	0.0
0.51876	2.41377	0.0
0.52094	2.41231	0.0
0.52314	2.41087	0.0
0.52536	2.40944	0.0
0.52759	2.40802	0.0
0.52985	2.40662	0.0
0.53212	2.40522	0.0
0.53441	2.40385	0.0
0.53673	2.40248	0.0
0.53906	2.40112	0.0
0.54141	2.39978	0.0
0.54379	2.39845	0.0
0.54618	2.39713	0.0
0.5486	2.39583	0.0
0.55104	2.39453	0.0
0.5535	2.39325	0.0
0.55598	2.39198	0.0
0.55849	2.39072	0.0
0.56101	2.38947	0.0
0.56356	2.38823	0.0
0.56614	2.387	0.0
0.56873	2.38578	0.0
0.57135	2.38458	0.0
0.574	2.38338	0.0
0.57667	2.38219	0.0
0.57936	2.38102	0.0
0.58208	2.37986	0.0
0.58483	2.3787	0.0
0.5876	2.37756	0.0
0.5904	2.37642	0.0
0.59322	2.3753	0.0
0.59608	2.37418	0.0
0.59896	2.37308	0.0
0.60186	2.37198	0.0
0.6048	2.37089	0.0
0.60776	2.36982	0.0
0.61076	2.36875	0.0
0.61378	2.36769	0.0
0.61684	2.36664	0.0
0.61992	2.3656	0.0
0.62303	2.36457	0.0
0.62618	2.36355	0.0
0.62936	2.36253	0.0
0.63257	2.36153	0.0
0.63582	2.36053	0.0
0.63909	2.35954	0.0
0.6424	2.35857	0.0
0.64575	2.35759	0.0
0.64913	2.35663	0.0
0.65255	2.35568	0.0
0.656	2.35473	0.0
0.65949	2.3538	0.0
0.66302	2.35287	0.0
0.66658	2.35194	0.0
0.67018	2.35103	0.0
0.67383	2.35012	0.0
0.67751	2.34923	0.0
0.68123	2.34834	0.0
0.68499	2.34745	0.0
0.6888	2.34658	0.0
0.69265	2.34571	0.0
0.69654	2.34485	0.0
0.70047	2.344	0.0
0.70445	2.34315	0.0
0.70848	2.34231	0.0
0.71255	2.34148	0.0
0.71667	2.34066	0.0
0.72084	2.33984	0.0
0.72505	2.33903	0.0
0.72932	2.33823	0.0
0.73363	2.33744	0.0
0.738	2.33665	0.0
0.74242	2.33587	0.0
0.74689	2.33509	0.0
0.75142	2.33432	0.0
0.756	2.33356	0.0
0.76064	2.33281	0.0
0.76533	2.33206	0.0
0.77009	2.33132	0.0
0.7749	2.33058	0.0
0.77977	2.32986	0.0
0.78471	2.32913	0.0
0.78971	2.32842	0.0
0.79477	2.32771	0.0
0.7999	2.32701	0.0
0.80509	2.32631	0.0
0.81035	2.32562	0.0
0.81568	2.32494	0.0
0.82109	2.32426	0.0
0.82656	2.32359	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: —

Nb₂O₅ (Niobium pentoxide): all datasets

Thin film

About Nb2O5 (Niobium pentoxide)

Niobium pentoxide (Nb₂O₅) is a pale yellow compound that is commonly used in the manufacture of certain optical glasses, where it imparts a high refractive index. In addition to its use in specialty glasses, Nb₂O₅ has garnered attention in the photonics industry due to its nonlinear optical properties, making it suitable for devices like waveguides and modulators. The material also finds application in the field of electronics as a dielectric layer in capacitors and has potential in the development of electrochromic devices. Its high dielectric constant further positions it as a candidate for thin film capacitors and transistors.

More about Nb2O5 (Niobium pentoxide) →

Provenance

Version: 1 (snapshot c5c2f18)
Source page: refractiveindex.info
Original file: database/data/main/Nb2O5/nk/Horcholle-400.yml
ID: ds_69ee1fa9c6cc
API: /v1/datasets/ds_69ee1fa9c6cc

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