Optical constants

Refractive index of Nb₂O₅ (Niobium pentoxide)

Lemarchand 2013: n,k 0.25–2.5 µm

Data: tabulated nk
Range: 0.25–2.5 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: 2.34029
Extinction coefficient k: 1.00000e-06

Permittivity ε₁: 5.47695
Permittivity ε₂: 4.68058e-06

Absorption coefficient α: 0.213859 cm⁻¹
Penetration depth δ = λ/(2πk): 9.35194e+07 nm

Abbe number V_d: —
Chromatic dispersion dn/dλ: -0.4712 µm⁻¹

Group index n_g: 2.61717
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): Lemarchand 2013: n,k 0.25–2.5 µm
nb2o5 = ls.fetch_refractiveindex("main", "Nb2O5", "Lemarchand", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(nb2o5.range_nm)  # (250, 2500) 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_a26233f12909/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/lemarchand-2013).

# ... 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=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"]).

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

500-nm monolayer deposited on BK7 substrate using the magnetron sputtering technique.

References

F. Lemarchand, private communications (2013). Measurement method described in:
L. Gao, F. Lemarchand, M. Lequime. Exploitation of multiple incidences spectrometric measurements for thin film reverse engineering. Opt. Express 20, 15734-15751 (2012)

doi:10.1364/oe.20.015734 Exploitation of multiple incidences spectrometric measurements for thin film reverse engineering, Optics Express (2012)

Cite

F. Lemarchand, private communications (2013). Measurement method described in:; Lihong Gao, Fabien Lemarchand and Michel Lequime. Exploitation of multiple incidences spectrometric measurements for thin film reverse engineering. Optics Express, 20, 15734 (2012), doi:10.1364/oe.20.015734; 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), Lemarchand 2013: n,k 0.25–2.5 µm: n and k versus wavelength
λ (µm)	n	k
0.25	3.04958	1.063965
0.255	3.079132	0.990757
0.26	3.10252	0.917045
0.265	3.119809	0.843424
0.27	3.13113	0.770466
0.275	3.136674	0.698714
0.28	3.136685	0.628673
0.285	3.131452	0.56081
0.29	3.121301	0.495546
0.295	3.106589	0.43326
0.3	3.087695	0.374286
0.305	3.065014	0.318917
0.31	3.038957	0.267408
0.315	3.009942	0.219978
0.32	2.9784	0.176816
0.325	2.944769	0.138083
0.33	2.909504	0.103919
0.335	2.873078	0.074443
0.34	2.836018	0.050857
0.345	2.798877	0.034999
0.35	2.762242	0.024358
0.355	2.726899	0.017131
0.36	2.69398	0.012164
0.365	2.665907	0.008709
0.37	2.642547	0.006284
0.375	2.622007	0.004572
0.38	2.603584	0.003352
0.385	2.586864	0.002478
0.39	2.571562	0.001845
0.395	2.557471	0.001384
0.4	2.544428	0.001046
0.405	2.532304	0.000795
0.41	2.520995	0.000609
0.415	2.510414	0.000469
0.42	2.500485	0.000364
0.425	2.491147	0.000284
0.43	2.482346	0.000223
0.435	2.474034	0.000176
0.44	2.46617	0.00014
0.445	2.458718	0.000111
0.45	2.451645	8.9e-05
0.455	2.444923	7.2e-05
0.46	2.438526	5.8e-05
0.465	2.43243	4.7e-05
0.47	2.426616	3.9e-05
0.475	2.421063	3.2e-05
0.48	2.415755	2.6e-05
0.485	2.410676	2.2e-05
0.49	2.405812	1.8e-05
0.495	2.40115	1.5e-05
0.5	2.396677	1.3e-05
0.505	2.392383	1e-05
0.51	2.388258	9e-06
0.515	2.384291	7e-06
0.52	2.380475	6e-06
0.525	2.376801	5e-06
0.53	2.373261	5e-06
0.535	2.369849	4e-06
0.54	2.366559	3e-06
0.545	2.363383	3e-06
0.55	2.360317	3e-06
0.555	2.357355	2e-06
0.56	2.354492	2e-06
0.565	2.351724	2e-06
0.57	2.349046	1e-06
0.575	2.346454	1e-06
0.58	2.343944	1e-06
0.585	2.341513	1e-06
0.59	2.339157	1e-06
0.595	2.336873	1e-06
0.6	2.334657	1e-06
0.605	2.332508	1e-06
0.61	2.330422	1e-06
0.615	2.328396	0.0
0.62	2.326429	0.0
0.625	2.324518	0.0
0.63	2.32266	0.0
0.635	2.320854	0.0
0.64	2.319098	0.0
0.645	2.317389	0.0
0.65	2.315726	0.0
0.655	2.314108	0.0
0.66	2.312532	0.0
0.665	2.310998	0.0
0.67	2.309503	0.0
0.675	2.308046	0.0
0.68	2.306626	0.0
0.685	2.305242	0.0
0.69	2.303892	0.0
0.695	2.302575	0.0
0.7	2.301291	0.0
0.705	2.300037	0.0
0.71	2.298814	0.0
0.715	2.297619	0.0
0.72	2.296453	0.0
0.725	2.295313	0.0
0.73	2.2942	0.0
0.735	2.293113	0.0
0.74	2.29205	0.0
0.745	2.291011	0.0
0.75	2.289996	0.0
0.755	2.289002	0.0
0.76	2.288031	0.0
0.765	2.287081	0.0
0.77	2.286151	0.0
0.775	2.285241	0.0
0.78	2.284351	0.0
0.785	2.283479	0.0
0.79	2.282626	0.0
0.795	2.28179	0.0
0.8	2.280972	0.0
0.805	2.28017	0.0
0.81	2.279384	0.0
0.815	2.278615	0.0
0.82	2.277861	0.0
0.825	2.277121	0.0
0.83	2.276397	0.0
0.835	2.275686	0.0
0.84	2.27499	0.0
0.845	2.274306	0.0
0.85	2.273636	0.0
0.855	2.272979	0.0
0.86	2.272334	0.0
0.865	2.271701	0.0
0.87	2.27108	0.0
0.875	2.270471	0.0
0.88	2.269872	0.0
0.885	2.269285	0.0
0.89	2.268708	0.0
0.895	2.268142	0.0
0.9	2.267586	0.0
0.905	2.26704	0.0
0.91	2.266503	0.0
0.915	2.265976	0.0
0.92	2.265458	0.0
0.925	2.264949	0.0
0.93	2.264449	0.0
0.935	2.263957	0.0
0.94	2.263474	0.0
0.945	2.262999	0.0
0.95	2.262532	0.0
0.955	2.262073	0.0
0.96	2.261621	0.0
0.965	2.261177	0.0
0.97	2.260741	0.0
0.975	2.260311	0.0
0.98	2.259888	0.0
0.985	2.259472	0.0
0.99	2.259063	0.0
0.995	2.258661	0.0
1.0	2.258265	0.0
1.005	2.257875	0.0
1.01	2.257491	0.0
1.015	2.257113	0.0
1.02	2.256741	0.0
1.025	2.256375	0.0
1.03	2.256014	0.0
1.035	2.255659	0.0
1.04	2.25531	0.0
1.045	2.254965	0.0
1.05	2.254626	0.0
1.055	2.254292	0.0
1.06	2.253963	0.0
1.065	2.253639	0.0
1.07	2.253319	0.0
1.075	2.253005	0.0
1.08	2.252694	0.0
1.085	2.252389	0.0
1.09	2.252087	0.0
1.095	2.25179	0.0
1.1	2.251498	0.0
1.105	2.251209	0.0
1.11	2.250925	0.0
1.115	2.250644	0.0
1.12	2.250368	0.0
1.125	2.250095	0.0
1.13	2.249826	0.0
1.135	2.249561	0.0
1.14	2.2493	0.0
1.145	2.249042	0.0
1.15	2.248787	0.0
1.155	2.248536	0.0
1.16	2.248289	0.0
1.165	2.248044	0.0
1.17	2.247803	0.0
1.175	2.247566	0.0
1.18	2.247331	0.0
1.185	2.247099	0.0
1.19	2.246871	0.0
1.195	2.246645	0.0
1.2	2.246423	0.0
1.205	2.246203	0.0
1.21	2.245986	0.0
1.215	2.245772	0.0
1.22	2.24556	0.0
1.225	2.245352	0.0
1.23	2.245146	0.0
1.235	2.244942	0.0
1.24	2.244741	0.0
1.245	2.244543	0.0
1.25	2.244347	0.0
1.255	2.244153	0.0
1.26	2.243962	0.0
1.265	2.243773	0.0
1.27	2.243587	0.0
1.275	2.243403	0.0
1.28	2.243221	0.0
1.285	2.243041	0.0
1.29	2.242863	0.0
1.295	2.242688	0.0
1.3	2.242515	0.0
1.305	2.242343	0.0
1.31	2.242174	0.0
1.315	2.242007	0.0
1.32	2.241841	0.0
1.325	2.241678	0.0
1.33	2.241516	0.0
1.335	2.241357	0.0
1.34	2.241199	0.0
1.345	2.241043	0.0
1.35	2.240889	0.0
1.355	2.240736	0.0
1.36	2.240585	0.0
1.365	2.240436	0.0
1.37	2.240289	0.0
1.375	2.240143	0.0
1.38	2.239999	0.0
1.385	2.239857	0.0
1.39	2.239716	0.0
1.395	2.239577	0.0
1.4	2.239439	0.0
1.405	2.239303	0.0
1.41	2.239168	0.0
1.415	2.239035	0.0
1.42	2.238903	0.0
1.425	2.238772	0.0
1.43	2.238643	0.0
1.435	2.238516	0.0
1.44	2.23839	0.0
1.445	2.238265	0.0
1.45	2.238141	0.0
1.455	2.238019	0.0
1.46	2.237898	0.0
1.465	2.237778	0.0
1.47	2.23766	0.0
1.475	2.237542	0.0
1.48	2.237426	0.0
1.485	2.237312	0.0
1.49	2.237198	0.0
1.495	2.237085	0.0
1.5	2.236974	0.0
1.505	2.236864	0.0
1.51	2.236755	0.0
1.515	2.236647	0.0
1.52	2.23654	0.0
1.525	2.236434	0.0
1.53	2.23633	0.0
1.535	2.236226	0.0
1.54	2.236123	0.0
1.545	2.236022	0.0
1.55	2.235921	0.0
1.555	2.235821	0.0
1.56	2.235723	0.0
1.565	2.235625	0.0
1.57	2.235528	0.0
1.575	2.235433	0.0
1.58	2.235338	0.0
1.585	2.235244	0.0
1.59	2.235151	0.0
1.595	2.235059	0.0
1.6	2.234967	0.0
1.605	2.234877	0.0
1.61	2.234787	0.0
1.615	2.234699	0.0
1.62	2.234611	0.0
1.625	2.234524	0.0
1.63	2.234438	0.0
1.635	2.234352	0.0
1.64	2.234268	0.0
1.645	2.234184	0.0
1.65	2.234101	0.0
1.655	2.234019	0.0
1.66	2.233937	0.0
1.665	2.233856	0.0
1.67	2.233776	0.0
1.675	2.233697	0.0
1.68	2.233619	0.0
1.685	2.233541	0.0
1.69	2.233464	0.0
1.695	2.233387	0.0
1.7	2.233311	0.0
1.705	2.233236	0.0
1.71	2.233162	0.0
1.715	2.233088	0.0
1.72	2.233015	0.0
1.725	2.232943	0.0
1.73	2.232871	0.0
1.735	2.2328	0.0
1.74	2.232729	0.0
1.745	2.232659	0.0
1.75	2.23259	0.0
1.755	2.232521	0.0
1.76	2.232453	0.0
1.765	2.232385	0.0
1.77	2.232318	0.0
1.775	2.232252	0.0
1.78	2.232186	0.0
1.785	2.232121	0.0
1.79	2.232056	0.0
1.795	2.231992	0.0
1.8	2.231929	0.0
1.805	2.231866	0.0
1.81	2.231803	0.0
1.815	2.231741	0.0
1.82	2.23168	0.0
1.825	2.231619	0.0
1.83	2.231558	0.0
1.835	2.231498	0.0
1.84	2.231439	0.0
1.845	2.23138	0.0
1.85	2.231321	0.0
1.855	2.231263	0.0
1.86	2.231206	0.0
1.865	2.231149	0.0
1.87	2.231092	0.0
1.875	2.231036	0.0
1.88	2.23098	0.0
1.885	2.230925	0.0
1.89	2.23087	0.0
1.895	2.230816	0.0
1.9	2.230762	0.0
1.905	2.230708	0.0
1.91	2.230655	0.0
1.915	2.230603	0.0
1.92	2.23055	0.0
1.925	2.230499	0.0
1.93	2.230447	0.0
1.935	2.230396	0.0
1.94	2.230346	0.0
1.945	2.230295	0.0
1.95	2.230246	0.0
1.955	2.230196	0.0
1.96	2.230147	0.0
1.965	2.230099	0.0
1.97	2.23005	0.0
1.975	2.230002	0.0
1.98	2.229955	0.0
1.985	2.229908	0.0
1.99	2.229861	0.0
1.995	2.229814	0.0
2.0	2.229768	0.0
2.005	2.229723	0.0
2.01	2.229677	0.0
2.015	2.229632	0.0
2.02	2.229587	0.0
2.025	2.229543	0.0
2.03	2.229499	0.0
2.035	2.229455	0.0
2.04	2.229412	0.0
2.045	2.229369	0.0
2.05	2.229326	0.0
2.055	2.229283	0.0
2.06	2.229241	0.0
2.065	2.229199	0.0
2.07	2.229158	0.0
2.075	2.229117	0.0
2.08	2.229076	0.0
2.085	2.229035	0.0
2.09	2.228995	0.0
2.095	2.228955	0.0
2.1	2.228915	0.0
2.105	2.228876	0.0
2.11	2.228836	0.0
2.115	2.228798	0.0
2.12	2.228759	0.0
2.125	2.228721	0.0
2.13	2.228683	0.0
2.135	2.228645	0.0
2.14	2.228607	0.0
2.145	2.22857	0.0
2.15	2.228533	0.0
2.155	2.228496	0.0
2.16	2.22846	0.0
2.165	2.228424	0.0
2.17	2.228388	0.0
2.175	2.228352	0.0
2.18	2.228316	0.0
2.185	2.228281	0.0
2.19	2.228246	0.0
2.195	2.228211	0.0
2.2	2.228177	0.0
2.205	2.228143	0.0
2.21	2.228109	0.0
2.215	2.228075	0.0
2.22	2.228041	0.0
2.225	2.228008	0.0
2.23	2.227975	0.0
2.235	2.227942	0.0
2.24	2.227909	0.0
2.245	2.227877	0.0
2.25	2.227845	0.0
2.255	2.227813	0.0
2.26	2.227781	0.0
2.265	2.227749	0.0
2.27	2.227718	0.0
2.275	2.227687	0.0
2.28	2.227656	0.0
2.285	2.227625	0.0
2.29	2.227595	0.0
2.295	2.227564	0.0
2.3	2.227534	0.0
2.305	2.227504	0.0
2.31	2.227474	0.0
2.315	2.227445	0.0
2.32	2.227415	0.0
2.325	2.227386	0.0
2.33	2.227357	0.0
2.335	2.227328	0.0
2.34	2.2273	0.0
2.345	2.227271	0.0
2.35	2.227243	0.0
2.355	2.227215	0.0
2.36	2.227187	0.0
2.365	2.22716	0.0
2.37	2.227132	0.0
2.375	2.227105	0.0
2.38	2.227078	0.0
2.385	2.227051	0.0
2.39	2.227024	0.0
2.395	2.226997	0.0
2.4	2.226971	0.0
2.405	2.226944	0.0
2.41	2.226918	0.0
2.415	2.226892	0.0
2.42	2.226866	0.0
2.425	2.226841	0.0
2.43	2.226815	0.0
2.435	2.22679	0.0
2.44	2.226765	0.0
2.445	2.22674	0.0
2.45	2.226715	0.0
2.455	2.22669	0.0
2.46	2.226665	0.0
2.465	2.226641	0.0
2.47	2.226617	0.0
2.475	2.226593	0.0
2.48	2.226569	0.0
2.485	2.226545	0.0
2.49	2.226521	0.0
2.495	2.226497	0.0
2.5	2.226474	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.

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Provenance

Version: 1 (snapshot c5c2f18)
Source page: refractiveindex.info
Original file: database/data/main/Nb2O5/nk/Lemarchand.yml
ID: ds_a26233f12909
API: /v1/datasets/ds_a26233f12909

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