Optical constants

Refractive index of Al₂O₃ (Aluminium sesquioxide, Sapphire, Alumina)

Kischkat et al. 2012: n,k 1.54–14.3 µm

Data: tabulated nk
Range: 1.539–14.29 µm
Points: 1450
Licence: CC0-1.0

Axis Log x Log y

Click the plot to set the calculator wavelength.

At one wavelength

Refractive index n: 1.53836
Extinction coefficient k: 0.00308902

Permittivity ε₁: 2.36654
Permittivity ε₂: 0.00950404

Absorption coefficient α: 82.7671 cm⁻¹
Penetration depth δ = λ/(2πk): 241642 nm

Abbe number V_d: —
Chromatic dispersion dn/dλ: -0.043272 µm⁻¹

Group index n_g: 1.7413
Group velocity dispersion: — fs²/mm

Dispersion parameter D: — ps/(nm·km)
Photon energy: 0.264359 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

# Al2O3 (Aluminium sesquioxide, Sapphire, Alumina): Kischkat et al. 2012: n,k 1.54–14.3 µm
al2o3 = ls.fetch_refractiveindex("main", "Al2O3", "Kischkat", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(al2o3.range_nm)  # (1539.41, 14285.7) nm
eps = al2o3.eps([4690])  # 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_f3c2e3ff8c80/lightsmith"
al2o3 = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(al2o3.source)  # citation and provenance travel with the data

Any dataset here, as the library's Tabulated material (al2o3/kischkat-2012).

# ... load al2o3 as above, then:
sim = ls.Simulation(
    particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=al2o3)],
    medium_index=1.0,
    wavelengths=ls.WavelengthRange(start_nm=1540, stop_nm=14280, 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

497-nm single layer on Si substrate. Prepared by room temperature reactive sputter deposition using Al target and 2.0 SCCM O₂ flux.
Data on the influence of deposition conditions on the optical properties of the film can be found in the original publication.
Data on the refractive index (n) in the visible can be found in the original publication.

References

J. Kischkat, S. Peters, B. Gruska, M. Semtsiv, M. Chashnikova, M. Klinkmüller, O. Fedosenko, S. Machulik, A. Aleksandrova, G. Monastyrskyi, Y. Flores, W. T. Masselink. Mid-infrared optical properties of thin films of aluminum oxide, titanium dioxide, silicon dioxide, aluminum nitride, and silicon nitride. Appl. Opt. 51, 6789-6798 (2012) (Numerical data kindly provided by Jan Kischkat)

doi:10.1364/ao.51.006789 Mid-infrared optical properties of thin films of aluminum oxide, titanium dioxide, silicon dioxide, aluminum nitride, and silicon nitride, Applied Optics (2012)

Cite

Jan Kischkat et al.. Mid-infrared optical properties of thin films of aluminum oxide, titanium dioxide, silicon dioxide, aluminum nitride, and silicon nitride. Applied Optics, 51, 6789 (2012), doi:10.1364/ao.51.006789; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

1450 rows as published

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

Al2O3 (Aluminium sesquioxide, Sapphire, Alumina), Kischkat et al. 2012: n,k 1.54–14.3 µm: n and k versus wavelength
λ (µm)	n	k
1.53941	1.62158	8e-05
1.54036	1.62157	8e-05
1.54131	1.62156	8e-05
1.54226	1.62155	8e-05
1.54321	1.62153	8e-05
1.54416	1.62152	8e-05
1.54512	1.62151	8e-05
1.54607	1.6215	8e-05
1.54703	1.62149	8e-05
1.54799	1.62148	8e-05
1.54895	1.62147	8e-05
1.54991	1.62145	8e-05
1.55087	1.62144	8e-05
1.55183	1.62143	8e-05
1.5528	1.62142	8e-05
1.55376	1.62141	8e-05
1.55473	1.6214	8e-05
1.55569	1.62138	8e-05
1.55666	1.62137	8e-05
1.55763	1.62136	9e-05
1.5586	1.62135	9e-05
1.55958	1.62134	9e-05
1.56055	1.62133	9e-05
1.56152	1.62131	9e-05
1.5625	1.6213	9e-05
1.56348	1.62129	9e-05
1.56446	1.62128	9e-05
1.56544	1.62127	9e-05
1.56642	1.62125	9e-05
1.5674	1.62124	9e-05
1.56838	1.62123	9e-05
1.56937	1.62122	9e-05
1.57035	1.62121	9e-05
1.57134	1.62119	9e-05
1.57233	1.62118	9e-05
1.57332	1.62117	9e-05
1.57431	1.62116	9e-05
1.5753	1.62115	9e-05
1.57629	1.62113	9e-05
1.57729	1.62112	9e-05
1.57828	1.62111	9e-05
1.57928	1.6211	9e-05
1.58028	1.62108	9e-05
1.58128	1.62107	9e-05
1.58228	1.62106	9e-05
1.58328	1.62105	9e-05
1.58428	1.62104	9e-05
1.58529	1.62102	9e-05
1.58629	1.62101	9e-05
1.5873	1.621	9e-05
1.58831	1.62099	9e-05
1.58932	1.62097	9e-05
1.59033	1.62096	9e-05
1.59134	1.62095	9e-05
1.59236	1.62094	9e-05
1.59337	1.62092	9e-05
1.59439	1.62091	9e-05
1.59541	1.6209	9e-05
1.59642	1.62088	9e-05
1.59744	1.62087	9e-05
1.59847	1.62086	9e-05
1.59949	1.62085	9e-05
1.60051	1.62083	9e-05
1.60154	1.62082	9e-05
1.60256	1.62081	9e-05
1.60359	1.6208	9e-05
1.60462	1.62078	9e-05
1.60565	1.62077	9e-05
1.60668	1.62076	9e-05
1.60772	1.62074	9e-05
1.60875	1.62073	9e-05
1.60979	1.62072	9e-05
1.61082	1.62071	9e-05
1.61186	1.62069	9e-05
1.6129	1.62068	9e-05
1.61394	1.62067	9e-05
1.61499	1.62065	0.0001
1.61603	1.62064	0.0001
1.61708	1.62063	0.0001
1.61812	1.62061	0.0001
1.61917	1.6206	0.0001
1.62022	1.62059	0.0001
1.62127	1.62057	0.0001
1.62232	1.62056	0.0001
1.62338	1.62055	0.0001
1.62443	1.62053	0.0001
1.62549	1.62052	0.0001
1.62655	1.62051	0.0001
1.6276	1.62049	0.0001
1.62866	1.62048	0.0001
1.62973	1.62047	0.0001
1.63079	1.62045	0.0001
1.63185	1.62044	0.0001
1.63292	1.62043	0.0001
1.63399	1.62041	0.0001
1.63506	1.6204	0.0001
1.63613	1.62039	0.0001
1.6372	1.62037	0.0001
1.63827	1.62036	0.0001
1.63934	1.62034	0.0001
1.64042	1.62033	0.0001
1.6415	1.62032	0.0001
1.64258	1.6203	0.0001
1.64366	1.62029	0.0001
1.64474	1.62028	0.0001
1.64582	1.62026	0.0001
1.6469	1.62025	0.0001
1.64799	1.62023	0.0001
1.64908	1.62022	0.0001
1.65017	1.62021	0.0001
1.65125	1.62019	0.0001
1.65235	1.62018	0.0001
1.65344	1.62016	0.0001
1.65453	1.62015	0.0001
1.65563	1.62014	0.0001
1.65673	1.62012	0.0001
1.65782	1.62011	0.0001
1.65893	1.62009	0.0001
1.66003	1.62008	0.0001
1.66113	1.62006	0.0001
1.66223	1.62005	0.0001
1.66334	1.62004	0.0001
1.66445	1.62002	0.0001
1.66556	1.62001	0.0001
1.66667	1.61999	0.0001
1.66778	1.61998	0.0001
1.66889	1.61996	0.00011
1.67001	1.61995	0.00011
1.67112	1.61993	0.00011
1.67224	1.61992	0.00011
1.67336	1.6199	0.00011
1.67448	1.61989	0.00011
1.6756	1.61988	0.00011
1.67673	1.61986	0.00011
1.67785	1.61985	0.00011
1.67898	1.61983	0.00011
1.68011	1.61982	0.00011
1.68124	1.6198	0.00011
1.68237	1.61979	0.00011
1.6835	1.61977	0.00011
1.68464	1.61976	0.00011
1.68577	1.61974	0.00011
1.68691	1.61973	0.00011
1.68805	1.61971	0.00011
1.68919	1.6197	0.00011
1.69033	1.61968	0.00011
1.69147	1.61967	0.00011
1.69262	1.61965	0.00011
1.69377	1.61964	0.00011
1.69492	1.61962	0.00011
1.69607	1.61961	0.00011
1.69722	1.61959	0.00011
1.69837	1.61958	0.00011
1.69952	1.61956	0.00011
1.70068	1.61955	0.00011
1.70184	1.61953	0.00011
1.703	1.61951	0.00011
1.70416	1.6195	0.00011
1.70532	1.61948	0.00011
1.70648	1.61947	0.00011
1.70765	1.61945	0.00011
1.70882	1.61944	0.00011
1.70999	1.61942	0.00011
1.71116	1.61941	0.00011
1.71233	1.61939	0.00011
1.7135	1.61937	0.00011
1.71468	1.61936	0.00011
1.71585	1.61934	0.00011
1.71703	1.61933	0.00011
1.71821	1.61931	0.00011
1.71939	1.6193	0.00012
1.72058	1.61928	0.00012
1.72176	1.61926	0.00012
1.72295	1.61925	0.00012
1.72414	1.61923	0.00012
1.72533	1.61922	0.00012
1.72652	1.6192	0.00012
1.72771	1.61918	0.00012
1.72891	1.61917	0.00012
1.7301	1.61915	0.00012
1.7313	1.61914	0.00012
1.7325	1.61912	0.00012
1.7337	1.6191	0.00012
1.73491	1.61909	0.00012
1.73611	1.61907	0.00012
1.73732	1.61905	0.00012
1.73853	1.61904	0.00012
1.73974	1.61902	0.00012
1.74095	1.619	0.00012
1.74216	1.61899	0.00012
1.74338	1.61897	0.00012
1.74459	1.61895	0.00012
1.74581	1.61894	0.00012
1.74703	1.61892	0.00012
1.74825	1.6189	0.00012
1.74948	1.61889	0.00012
1.7507	1.61887	0.00012
1.75193	1.61885	0.00012
1.75316	1.61884	0.00012
1.75439	1.61882	0.00012
1.75562	1.6188	0.00012
1.75685	1.61879	0.00012
1.75809	1.61877	0.00012
1.75932	1.61875	0.00012
1.76056	1.61874	0.00012
1.7618	1.61872	0.00012
1.76305	1.6187	0.00012
1.76429	1.61868	0.00012
1.76554	1.61867	0.00013
1.76678	1.61865	0.00013
1.76803	1.61863	0.00013
1.76929	1.61862	0.00013
1.77054	1.6186	0.00013
1.77179	1.61858	0.00013
1.77305	1.61856	0.00013
1.77431	1.61855	0.00013
1.77557	1.61853	0.00013
1.77683	1.61851	0.00013
1.77809	1.61849	0.00013
1.77936	1.61848	0.00013
1.78063	1.61846	0.00013
1.7819	1.61844	0.00013
1.78317	1.61842	0.00013
1.78444	1.6184	0.00013
1.78571	1.61839	0.00013
1.78699	1.61837	0.00013
1.78827	1.61835	0.00013
1.78955	1.61833	0.00013
1.79083	1.61832	0.00013
1.79211	1.6183	0.00013
1.7934	1.61828	0.00013
1.79469	1.61826	0.00013
1.79598	1.61824	0.00013
1.79727	1.61823	0.00013
1.79856	1.61821	0.00013
1.79986	1.61819	0.00013
1.80115	1.61817	0.00013
1.80245	1.61815	0.00013
1.80375	1.61813	0.00013
1.80505	1.61812	0.00013
1.80636	1.6181	0.00013
1.80766	1.61808	0.00013
1.80897	1.61806	0.00013
1.81028	1.61804	0.00014
1.81159	1.61802	0.00014
1.81291	1.618	0.00014
1.81422	1.61799	0.00014
1.81554	1.61797	0.00014
1.81686	1.61795	0.00014
1.81818	1.61793	0.00014
1.81951	1.61791	0.00014
1.82083	1.61789	0.00014
1.82216	1.61787	0.00014
1.82349	1.61785	0.00014
1.82482	1.61783	0.00014
1.82615	1.61782	0.00014
1.82749	1.6178	0.00014
1.82882	1.61778	0.00014
1.83016	1.61776	0.00014
1.8315	1.61774	0.00014
1.83284	1.61772	0.00014
1.83419	1.6177	0.00014
1.83554	1.61768	0.00014
1.83688	1.61766	0.00014
1.83824	1.61764	0.00014
1.83959	1.61762	0.00014
1.84094	1.6176	0.00014
1.8423	1.61758	0.00014
1.84366	1.61756	0.00014
1.84502	1.61754	0.00014
1.84638	1.61752	0.00014
1.84775	1.6175	0.00014
1.84911	1.61748	0.00014
1.85048	1.61746	0.00014
1.85185	1.61745	0.00014
1.85322	1.61743	0.00015
1.8546	1.61741	0.00015
1.85598	1.61739	0.00015
1.85736	1.61737	0.00015
1.85874	1.61734	0.00015
1.86012	1.61732	0.00015
1.8615	1.6173	0.00015
1.86289	1.61728	0.00015
1.86428	1.61726	0.00015
1.86567	1.61724	0.00015
1.86706	1.61722	0.00015
1.86846	1.6172	0.00015
1.86986	1.61718	0.00015
1.87126	1.61716	0.00015
1.87266	1.61714	0.00015
1.87406	1.61712	0.00015
1.87547	1.6171	0.00015
1.87688	1.61708	0.00015
1.87829	1.61706	0.00015
1.8797	1.61704	0.00015
1.88111	1.61702	0.00015
1.88253	1.617	0.00015
1.88395	1.61697	0.00015
1.88537	1.61695	0.00015
1.88679	1.61693	0.00015
1.88822	1.61691	0.00015
1.88964	1.61689	0.00015
1.89107	1.61687	0.00015
1.89251	1.61685	0.00015
1.89394	1.61683	0.00016
1.89538	1.61681	0.00016
1.89681	1.61678	0.00016
1.89825	1.61676	0.00016
1.8997	1.61674	0.00016
1.90114	1.61672	0.00016
1.90259	1.6167	0.00016
1.90404	1.61668	0.00016
1.90549	1.61665	0.00016
1.90694	1.61663	0.00016
1.9084	1.61661	0.00016
1.90985	1.61659	0.00016
1.91131	1.61657	0.00016
1.91278	1.61655	0.00016
1.91424	1.61652	0.00016
1.91571	1.6165	0.00016
1.91718	1.61648	0.00016
1.91865	1.61646	0.00016
1.92012	1.61643	0.00016
1.9216	1.61641	0.00016
1.92308	1.61639	0.00016
1.92456	1.61637	0.00016
1.92604	1.61635	0.00016
1.92753	1.61632	0.00016
1.92901	1.6163	0.00016
1.9305	1.61628	0.00016
1.93199	1.61625	0.00017
1.93349	1.61623	0.00017
1.93498	1.61621	0.00017
1.93648	1.61619	0.00017
1.93798	1.61616	0.00017
1.93949	1.61614	0.00017
1.94099	1.61612	0.00017
1.9425	1.61609	0.00017
1.94401	1.61607	0.00017
1.94553	1.61605	0.00017
1.94704	1.61603	0.00017
1.94856	1.616	0.00017
1.95008	1.61598	0.00017
1.9516	1.61596	0.00017
1.95313	1.61593	0.00017
1.95465	1.61591	0.00017
1.95618	1.61589	0.00017
1.95771	1.61586	0.00017
1.95925	1.61584	0.00017
1.96078	1.61581	0.00017
1.96232	1.61579	0.00017
1.96386	1.61577	0.00017
1.96541	1.61574	0.00017
1.96696	1.61572	0.00017
1.9685	1.6157	0.00018
1.97006	1.61567	0.00018
1.97161	1.61565	0.00018
1.97316	1.61562	0.00018
1.97472	1.6156	0.00018
1.97628	1.61557	0.00018
1.97785	1.61555	0.00018
1.97941	1.61553	0.00018
1.98098	1.6155	0.00018
1.98255	1.61548	0.00018
1.98413	1.61545	0.00018
1.9857	1.61543	0.00018
1.98728	1.6154	0.00018
1.98886	1.61538	0.00018
1.99045	1.61535	0.00018
1.99203	1.61533	0.00018
1.99362	1.6153	0.00018
1.99521	1.61528	0.00018
1.99681	1.61525	0.00018
1.9984	1.61523	0.00018
2.0	1.6152	0.00018
2.0016	1.61518	0.00018
2.00321	1.61515	0.00018
2.00481	1.61513	0.00019
2.00642	1.6151	0.00019
2.00803	1.61508	0.00019
2.00965	1.61505	0.00019
2.01126	1.61503	0.00019
2.01288	1.615	0.00019
2.0145	1.61497	0.00019
2.01613	1.61495	0.00019
2.01776	1.61492	0.00019
2.01939	1.6149	0.00019
2.02102	1.61487	0.00019
2.02265	1.61484	0.00019
2.02429	1.61482	0.00019
2.02593	1.61479	0.00019
2.02758	1.61477	0.00019
2.02922	1.61474	0.00019
2.03087	1.61471	0.00019
2.03252	1.61469	0.00019
2.03417	1.61466	0.00019
2.03583	1.61463	0.00019
2.03749	1.61461	0.00019
2.03915	1.61458	0.0002
2.04082	1.61455	0.0002
2.04248	1.61453	0.0002
2.04415	1.6145	0.0002
2.04583	1.61447	0.0002
2.0475	1.61445	0.0002
2.04918	1.61442	0.0002
2.05086	1.61439	0.0002
2.05255	1.61436	0.0002
2.05423	1.61434	0.0002
2.05592	1.61431	0.0002
2.05761	1.61428	0.0002
2.05931	1.61425	0.0002
2.06101	1.61423	0.0002
2.06271	1.6142	0.0002
2.06441	1.61417	0.0002
2.06612	1.61414	0.0002
2.06782	1.61412	0.0002
2.06954	1.61409	0.0002
2.07125	1.61406	0.00021
2.07297	1.61403	0.00021
2.07469	1.614	0.00021
2.07641	1.61397	0.00021
2.07814	1.61395	0.00021
2.07987	1.61392	0.00021
2.0816	1.61389	0.00021
2.08333	1.61386	0.00021
2.08507	1.61383	0.00021
2.08681	1.6138	0.00021
2.08855	1.61377	0.00021
2.0903	1.61375	0.00021
2.09205	1.61372	0.00021
2.0938	1.61369	0.00021
2.09556	1.61366	0.00021
2.09732	1.61363	0.00021
2.09908	1.6136	0.00021
2.10084	1.61357	0.00021
2.10261	1.61354	0.00021
2.10438	1.61351	0.00022
2.10615	1.61348	0.00022
2.10793	1.61345	0.00022
2.1097	1.61342	0.00022
2.11149	1.61339	0.00022
2.11327	1.61336	0.00022
2.11506	1.61333	0.00022
2.11685	1.6133	0.00022
2.11864	1.61327	0.00022
2.12044	1.61324	0.00022
2.12224	1.61321	0.00022
2.12404	1.61318	0.00022
2.12585	1.61315	0.00022
2.12766	1.61312	0.00022
2.12947	1.61309	0.00022
2.13129	1.61306	0.00022
2.13311	1.61303	0.00022
2.13493	1.613	0.00023
2.13675	1.61297	0.00023
2.13858	1.61294	0.00023
2.14041	1.61291	0.00023
2.14225	1.61288	0.00023
2.14408	1.61285	0.00023
2.14592	1.61281	0.00023
2.14777	1.61278	0.00023
2.14961	1.61275	0.00023
2.15146	1.61272	0.00023
2.15332	1.61269	0.00023
2.15517	1.61266	0.00023
2.15703	1.61263	0.00023
2.15889	1.61259	0.00023
2.16076	1.61256	0.00023
2.16263	1.61253	0.00023
2.1645	1.6125	0.00024
2.16638	1.61247	0.00024
2.16826	1.61243	0.00024
2.17014	1.6124	0.00024
2.17202	1.61237	0.00024
2.17391	1.61234	0.00024
2.17581	1.6123	0.00024
2.1777	1.61227	0.00024
2.1796	1.61224	0.00024
2.1815	1.6122	0.00024
2.18341	1.61217	0.00024
2.18531	1.61214	0.00024
2.18723	1.61211	0.00024
2.18914	1.61207	0.00024
2.19106	1.61204	0.00024
2.19298	1.61201	0.00025
2.19491	1.61197	0.00025
2.19684	1.61194	0.00025
2.19877	1.6119	0.00025
2.2007	1.61187	0.00025
2.20264	1.61184	0.00025
2.20459	1.6118	0.00025
2.20653	1.61177	0.00025
2.20848	1.61173	0.00025
2.21043	1.6117	0.00025
2.21239	1.61167	0.00025
2.21435	1.61163	0.00025
2.21631	1.6116	0.00025
2.21828	1.61156	0.00025
2.22025	1.61153	0.00025
2.22222	1.61149	0.00026
2.2242	1.61146	0.00026
2.22618	1.61142	0.00026
2.22816	1.61139	0.00026
2.23015	1.61135	0.00026
2.23214	1.61132	0.00026
2.23414	1.61128	0.00026
2.23614	1.61125	0.00026
2.23814	1.61121	0.00026
2.24014	1.61118	0.00026
2.24215	1.61114	0.00026
2.24417	1.6111	0.00026
2.24618	1.61107	0.00026
2.2482	1.61103	0.00027
2.25023	1.611	0.00027
2.25225	1.61096	0.00027
2.25428	1.61092	0.00027
2.25632	1.61089	0.00027
2.25836	1.61085	0.00027
2.2604	1.61081	0.00027
2.26244	1.61078	0.00027
2.26449	1.61074	0.00027
2.26655	1.6107	0.00027
2.2686	1.61067	0.00027
2.27066	1.61063	0.00027
2.27273	1.61059	0.00027
2.2748	1.61055	0.00028
2.27687	1.61052	0.00028
2.27894	1.61048	0.00028
2.28102	1.61044	0.00028
2.28311	1.6104	0.00028
2.28519	1.61037	0.00028
2.28728	1.61033	0.00028
2.28938	1.61029	0.00028
2.29148	1.61025	0.00028
2.29358	1.61021	0.00028
2.29568	1.61017	0.00028
2.29779	1.61014	0.00028
2.29991	1.6101	0.00028
2.30203	1.61006	0.00029
2.30415	1.61002	0.00029
2.30627	1.60998	0.00029
2.3084	1.60994	0.00029
2.31054	1.6099	0.00029
2.31267	1.60986	0.00029
2.31481	1.60982	0.00029
2.31696	1.60978	0.00029
2.31911	1.60974	0.00029
2.32126	1.6097	0.00029
2.32342	1.60966	0.00029
2.32558	1.60962	0.00029
2.32775	1.60958	0.0003
2.32992	1.60954	0.0003
2.33209	1.6095	0.0003
2.33427	1.60946	0.0003
2.33645	1.60942	0.0003
2.33863	1.60938	0.0003
2.34082	1.60934	0.0003
2.34302	1.6093	0.0003
2.34522	1.60926	0.0003
2.34742	1.60922	0.0003
2.34962	1.60918	0.0003
2.35183	1.60913	0.00031
2.35405	1.60909	0.00031
2.35627	1.60905	0.00031
2.35849	1.60901	0.00031
2.36072	1.60897	0.00031
2.36295	1.60892	0.00031
2.36518	1.60888	0.00031
2.36742	1.60884	0.00031
2.36967	1.6088	0.00031
2.37192	1.60876	0.00031
2.37417	1.60871	0.00031
2.37643	1.60867	0.00032
2.37869	1.60863	0.00032
2.38095	1.60858	0.00032
2.38322	1.60854	0.00032
2.3855	1.6085	0.00032
2.38777	1.60845	0.00032
2.39006	1.60841	0.00032
2.39234	1.60837	0.00032
2.39464	1.60832	0.00032
2.39693	1.60828	0.00032
2.39923	1.60823	0.00033
2.40154	1.60819	0.00033
2.40385	1.60815	0.00033
2.40616	1.6081	0.00033
2.40848	1.60806	0.00033
2.4108	1.60801	0.00033
2.41313	1.60797	0.00033
2.41546	1.60792	0.00033
2.41779	1.60788	0.00033
2.42014	1.60783	0.00033
2.42248	1.60779	0.00034
2.42483	1.60774	0.00034
2.42718	1.6077	0.00034
2.42954	1.60765	0.00034
2.43191	1.6076	0.00034
2.43427	1.60756	0.00034
2.43665	1.60751	0.00034
2.43902	1.60746	0.00034
2.44141	1.60742	0.00034
2.44379	1.60737	0.00034
2.44618	1.60732	0.00035
2.44858	1.60728	0.00035
2.45098	1.60723	0.00035
2.45339	1.60718	0.00035
2.4558	1.60714	0.00035
2.45821	1.60709	0.00035
2.46063	1.60704	0.00035
2.46305	1.60699	0.00035
2.46548	1.60694	0.00035
2.46792	1.6069	0.00036
2.47036	1.60685	0.00036
2.4728	1.6068	0.00036
2.47525	1.60675	0.00036
2.4777	1.6067	0.00036
2.48016	1.60665	0.00036
2.48262	1.6066	0.00036
2.48509	1.60656	0.00036
2.48756	1.60651	0.00036
2.49004	1.60646	0.00037
2.49252	1.60641	0.00037
2.49501	1.60636	0.00037
2.4975	1.60631	0.00037
2.5	1.60626	0.00037
2.5025	1.60621	0.00037
2.50501	1.60616	0.00037
2.50752	1.60611	0.00037
2.51004	1.60606	0.00038
2.51256	1.606	0.00038
2.51509	1.60595	0.00038
2.51762	1.6059	0.00038
2.52016	1.60585	0.00038
2.5227	1.6058	0.00038
2.52525	1.60575	0.00038
2.52781	1.6057	0.00038
2.53036	1.60564	0.00039
2.53293	1.60559	0.00039
2.5355	1.60554	0.00039
2.53807	1.60549	0.00039
2.54065	1.60543	0.00039
2.54323	1.60538	0.00039
2.54582	1.60533	0.00039
2.54842	1.60527	0.00039
2.55102	1.60522	0.0004
2.55363	1.60517	0.0004
2.55624	1.60511	0.0004
2.55885	1.60506	0.0004
2.56148	1.60501	0.0004
2.5641	1.60495	0.0004
2.56674	1.6049	0.0004
2.56937	1.60484	0.0004
2.57202	1.60479	0.00041
2.57467	1.60473	0.00041
2.57732	1.60468	0.00041
2.57998	1.60462	0.00041
2.58264	1.60457	0.00041
2.58532	1.60451	0.00041
2.58799	1.60446	0.00041
2.59067	1.6044	0.00042
2.59336	1.60434	0.00042
2.59605	1.60429	0.00042
2.59875	1.60423	0.00042
2.60146	1.60417	0.00042
2.60417	1.60412	0.00042
2.60688	1.60406	0.00042
2.6096	1.604	0.00042
2.61233	1.60395	0.00043
2.61506	1.60389	0.00043
2.6178	1.60383	0.00043
2.62055	1.60377	0.00043
2.62329	1.60371	0.00043
2.62605	1.60366	0.00043
2.62881	1.6036	0.00043
2.63158	1.60354	0.00044
2.63435	1.60348	0.00044
2.63713	1.60342	0.00044
2.63992	1.60336	0.00044
2.64271	1.6033	0.00044
2.6455	1.60324	0.00044
2.64831	1.60318	0.00045
2.65111	1.60312	0.00045
2.65393	1.60306	0.00045
2.65675	1.603	0.00045
2.65957	1.60294	0.00045
2.66241	1.60288	0.00045
2.66525	1.60282	0.00045
2.66809	1.60276	0.00046
2.67094	1.6027	0.00046
2.6738	1.60263	0.00046
2.67666	1.60257	0.00046
2.67953	1.60251	0.00046
2.6824	1.60245	0.00046
2.68528	1.60238	0.00047
2.68817	1.60232	0.00047
2.69107	1.60226	0.00047
2.69397	1.6022	0.00047
2.69687	1.60213	0.00047
2.69978	1.60207	0.00047
2.7027	1.602	0.00048
2.70563	1.60194	0.00048
2.70856	1.60188	0.00048
2.7115	1.60181	0.00048
2.71444	1.60175	0.00048
2.71739	1.60168	0.00048
2.72035	1.60162	0.00049
2.72331	1.60155	0.00049
2.72628	1.60149	0.00049
2.72926	1.60142	0.00049
2.73224	1.60135	0.00049
2.73523	1.60129	0.00049
2.73823	1.60122	0.0005
2.74123	1.60115	0.0005
2.74424	1.60109	0.0005
2.74725	1.60102	0.0005
2.75028	1.60095	0.0005
2.7533	1.60089	0.0005
2.75634	1.60082	0.00051
2.75938	1.60075	0.00051
2.76243	1.60068	0.00051
2.76549	1.60061	0.00051
2.76855	1.60054	0.00051
2.77162	1.60047	0.00052
2.77469	1.6004	0.00052
2.77778	1.60034	0.00052
2.78087	1.60027	0.00052
2.78396	1.6002	0.00052
2.78707	1.60013	0.00052
2.79018	1.60005	0.00053
2.7933	1.59998	0.00053
2.79642	1.59991	0.00053
2.79955	1.59984	0.00053
2.80269	1.59977	0.00053
2.80584	1.5997	0.00054
2.80899	1.59963	0.00054
2.81215	1.59955	0.00054
2.81532	1.59948	0.00054
2.81849	1.59941	0.00054
2.82167	1.59934	0.00055
2.82486	1.59926	0.00055
2.82805	1.59919	0.00055
2.83126	1.59911	0.00055
2.83447	1.59904	0.00055
2.83768	1.59897	0.00056
2.84091	1.59889	0.00056
2.84414	1.59882	0.00056
2.84738	1.59874	0.00056
2.85063	1.59867	0.00056
2.85388	1.59859	0.00057
2.85714	1.59851	0.00057
2.86041	1.59844	0.00057
2.86369	1.59836	0.00057
2.86697	1.59828	0.00057
2.87026	1.59821	0.00058
2.87356	1.59813	0.00058
2.87687	1.59805	0.00058
2.88018	1.59797	0.00058
2.88351	1.5979	0.00059
2.88684	1.59782	0.00059
2.89017	1.59774	0.00059
2.89352	1.59766	0.00059
2.89687	1.59758	0.00059
2.90023	1.5975	0.0006
2.9036	1.59742	0.0006
2.90698	1.59734	0.0006
2.91036	1.59726	0.0006
2.91375	1.59718	0.00061
2.91715	1.5971	0.00061
2.92056	1.59702	0.00061
2.92398	1.59693	0.00061
2.9274	1.59685	0.00061
2.93083	1.59677	0.00062
2.93427	1.59669	0.00062
2.93772	1.5966	0.00062
2.94118	1.59652	0.00062
2.94464	1.59644	0.00063
2.94811	1.59635	0.00063
2.95159	1.59627	0.00063
2.95508	1.59619	0.00063
2.95858	1.5961	0.00064
2.96209	1.59602	0.00064
2.9656	1.59593	0.00064
2.96912	1.59584	0.00064
2.97265	1.59576	0.00065
2.97619	1.59567	0.00065
2.97974	1.59558	0.00065
2.98329	1.5955	0.00065
2.98686	1.59541	0.00066
2.99043	1.59532	0.00066
2.99401	1.59523	0.00066
2.9976	1.59515	0.00066
3.0012	1.59506	0.00067
3.00481	1.59497	0.00067
3.00842	1.59488	0.00067
3.01205	1.59479	0.00067
3.01568	1.5947	0.00068
3.01932	1.59461	0.00068
3.02297	1.59452	0.00068
3.02663	1.59443	0.00069
3.0303	1.59433	0.00069
3.03398	1.59424	0.00069
3.03767	1.59415	0.00069
3.04136	1.59406	0.0007
3.04507	1.59397	0.0007
3.04878	1.59387	0.0007
3.0525	1.59378	0.0007
3.05623	1.59368	0.00071
3.05998	1.59359	0.00071
3.06373	1.5935	0.00071
3.06748	1.5934	0.00072
3.07125	1.59331	0.00072
3.07503	1.59321	0.00072
3.07882	1.59311	0.00072
3.08261	1.59302	0.00073
3.08642	1.59292	0.00073
3.09023	1.59282	0.00073
3.09406	1.59272	0.00074
3.09789	1.59263	0.00074
3.10174	1.59253	0.00074
3.10559	1.59243	0.00075
3.10945	1.59233	0.00075
3.11333	1.59223	0.00075
3.11721	1.59213	0.00075
3.1211	1.59203	0.00076
3.125	1.59193	0.00076
3.12891	1.59183	0.00076
3.13283	1.59173	0.00077
3.13676	1.59162	0.00077
3.1407	1.59152	0.00077
3.14465	1.59142	0.00078
3.14861	1.59132	0.00078
3.15259	1.59121	0.00078
3.15657	1.59111	0.00079
3.16056	1.591	0.00079
3.16456	1.5909	0.00079
3.16857	1.59079	0.0008
3.17259	1.59069	0.0008
3.17662	1.59058	0.0008
3.18066	1.59047	0.00081
3.18471	1.59037	0.00081
3.18878	1.59026	0.00081
3.19285	1.59015	0.00082
3.19693	1.59004	0.00082
3.20102	1.58993	0.00082
3.20513	1.58983	0.00083
3.20924	1.58972	0.00083
3.21337	1.58961	0.00083
3.2175	1.58949	0.00084
3.22165	1.58938	0.00084
3.22581	1.58927	0.00084
3.22997	1.58916	0.00085
3.23415	1.58905	0.00085
3.23834	1.58893	0.00086
3.24254	1.58882	0.00086
3.24675	1.58871	0.00086
3.25098	1.58859	0.00087
3.25521	1.58848	0.00087
3.25945	1.58836	0.00087
3.26371	1.58825	0.00088
3.26797	1.58813	0.00088
3.27225	1.58801	0.00089
3.27654	1.5879	0.00089
3.28084	1.58778	0.00089
3.28515	1.58766	0.0009
3.28947	1.58754	0.0009
3.29381	1.58742	0.00091
3.29815	1.5873	0.00091
3.30251	1.58718	0.00091
3.30688	1.58706	0.00092
3.31126	1.58694	0.00092
3.31565	1.58682	0.00093
3.32005	1.5867	0.00093
3.32447	1.58657	0.00093
3.32889	1.58645	0.00094
3.33333	1.58633	0.00094
3.33778	1.5862	0.00095
3.34225	1.58608	0.00095
3.34672	1.58595	0.00095
3.35121	1.58583	0.00096
3.3557	1.5857	0.00096
3.36022	1.58557	0.00097
3.36474	1.58545	0.00097
3.36927	1.58532	0.00098
3.37382	1.58519	0.00098
3.37838	1.58506	0.00098
3.38295	1.58493	0.00099
3.38753	1.5848	0.00099
3.39213	1.58467	0.001
3.39674	1.58454	0.001
3.40136	1.5844	0.00101
3.40599	1.58427	0.00101
3.41064	1.58414	0.00102
3.4153	1.584	0.00102
3.41997	1.58387	0.00103
3.42466	1.58374	0.00103
3.42936	1.5836	0.00104
3.43407	1.58346	0.00104
3.43879	1.58333	0.00104
3.44353	1.58319	0.00105
3.44828	1.58305	0.00105
3.45304	1.58291	0.00106
3.45781	1.58277	0.00106
3.4626	1.58263	0.00107
3.46741	1.58249	0.00107
3.47222	1.58235	0.00108
3.47705	1.58221	0.00108
3.48189	1.58207	0.00109
3.48675	1.58192	0.00109
3.49162	1.58178	0.0011
3.4965	1.58164	0.0011
3.5014	1.58149	0.00111
3.50631	1.58135	0.00112
3.51124	1.5812	0.00112
3.51617	1.58105	0.00113
3.52113	1.5809	0.00113
3.52609	1.58076	0.00114
3.53107	1.58061	0.00114
3.53607	1.58046	0.00115
3.54108	1.58031	0.00115
3.5461	1.58016	0.00116
3.55114	1.58	0.00116
3.55619	1.57985	0.00117
3.56125	1.5797	0.00117
3.56633	1.57955	0.00118
3.57143	1.57939	0.00119
3.57654	1.57924	0.00119
3.58166	1.57908	0.0012
3.5868	1.57892	0.0012
3.59195	1.57877	0.00121
3.59712	1.57861	0.00122
3.60231	1.57845	0.00122
3.6075	1.57829	0.00123
3.61272	1.57813	0.00123
3.61795	1.57797	0.00124
3.62319	1.57781	0.00125
3.62845	1.57764	0.00125
3.63372	1.57748	0.00126
3.63901	1.57731	0.00126
3.64431	1.57715	0.00127
3.64964	1.57698	0.00128
3.65497	1.57682	0.00128
3.66032	1.57665	0.00129
3.66569	1.57648	0.0013
3.67107	1.57631	0.0013
3.67647	1.57614	0.00131
3.68189	1.57597	0.00132
3.68732	1.5758	0.00132
3.69276	1.57563	0.00133
3.69822	1.57546	0.00134
3.7037	1.57528	0.00134
3.7092	1.57511	0.00135
3.71471	1.57493	0.00136
3.72024	1.57476	0.00136
3.72578	1.57458	0.00137
3.73134	1.5744	0.00138
3.73692	1.57422	0.00138
3.74251	1.57404	0.00139
3.74813	1.57386	0.0014
3.75375	1.57368	0.0014
3.7594	1.5735	0.00141
3.76506	1.57331	0.00142
3.77074	1.57313	0.00143
3.77644	1.57294	0.00143
3.78215	1.57276	0.00144
3.78788	1.57257	0.00145
3.79363	1.57238	0.00146
3.79939	1.57219	0.00146
3.80518	1.572	0.00147
3.81098	1.57181	0.00148
3.81679	1.57162	0.00149
3.82263	1.57143	0.0015
3.82848	1.57123	0.0015
3.83436	1.57104	0.00151
3.84025	1.57084	0.00152
3.84615	1.57065	0.00153
3.85208	1.57045	0.00154
3.85802	1.57025	0.00154
3.86399	1.57005	0.00155
3.86997	1.56985	0.00156
3.87597	1.56965	0.00157
3.88199	1.56945	0.00158
3.88802	1.56924	0.00159
3.89408	1.56904	0.00159
3.90016	1.56883	0.0016
3.90625	1.56863	0.00161
3.91236	1.56842	0.00162
3.9185	1.56821	0.00163
3.92465	1.568	0.00164
3.93082	1.56779	0.00165
3.93701	1.56757	0.00166
3.94322	1.56736	0.00166
3.94945	1.56715	0.00167
3.9557	1.56693	0.00168
3.96197	1.56671	0.00169
3.96825	1.5665	0.0017
3.97456	1.56628	0.00171
3.98089	1.56606	0.00172
3.98724	1.56584	0.00173
3.99361	1.56561	0.00174
4.0	1.56539	0.00175
4.00641	1.56516	0.00176
4.01284	1.56494	0.00177
4.01929	1.56471	0.00178
4.02576	1.56448	0.00179
4.03226	1.56425	0.0018
4.03877	1.56402	0.00181
4.04531	1.56379	0.00182
4.05186	1.56356	0.00183
4.05844	1.56332	0.00184
4.06504	1.56309	0.00185
4.07166	1.56285	0.00186
4.0783	1.56261	0.00187
4.08497	1.56237	0.00188
4.09165	1.56213	0.00189
4.09836	1.56189	0.0019
4.10509	1.56164	0.00192
4.11184	1.5614	0.00193
4.11862	1.56115	0.00194
4.12541	1.5609	0.00195
4.13223	1.56066	0.00196
4.13907	1.56041	0.00197
4.14594	1.56015	0.00198
4.15282	1.5599	0.00199
4.15973	1.55965	0.00201
4.16667	1.55939	0.00202
4.17362	1.55913	0.00203
4.1806	1.55887	0.00204
4.1876	1.55861	0.00205
4.19463	1.55835	0.00207
4.20168	1.55809	0.00208
4.20875	1.55782	0.00209
4.21585	1.55756	0.0021
4.22297	1.55729	0.00212
4.23012	1.55702	0.00213
4.23729	1.55675	0.00214
4.24448	1.55648	0.00215
4.2517	1.5562	0.00217
4.25894	1.55593	0.00218
4.26621	1.55565	0.00219
4.2735	1.55537	0.00221
4.28082	1.55509	0.00222
4.28816	1.55481	0.00223
4.29553	1.55453	0.00225
4.30293	1.55424	0.00226
4.31034	1.55395	0.00228
4.31779	1.55367	0.00229
4.32526	1.55338	0.0023
4.33276	1.55308	0.00232
4.34028	1.55279	0.00233
4.34783	1.5525	0.00235
4.3554	1.5522	0.00236
4.363	1.5519	0.00238
4.37063	1.5516	0.00239
4.37828	1.5513	0.00241
4.38596	1.55099	0.00242
4.39367	1.55069	0.00244
4.40141	1.55038	0.00245
4.40917	1.55007	0.00247
4.41696	1.54976	0.00248
4.42478	1.54945	0.0025
4.43262	1.54913	0.00252
4.4405	1.54881	0.00253
4.4484	1.5485	0.00255
4.45633	1.54817	0.00257
4.46429	1.54785	0.00258
4.47227	1.54753	0.0026
4.48029	1.5472	0.00262
4.48833	1.54687	0.00263
4.4964	1.54654	0.00265
4.5045	1.54621	0.00267
4.51264	1.54587	0.00269
4.5208	1.54554	0.0027
4.52899	1.5452	0.00272
4.53721	1.54486	0.00274
4.54545	1.54451	0.00276
4.55373	1.54417	0.00278
4.56204	1.54382	0.00279
4.57038	1.54347	0.00281
4.57875	1.54312	0.00283
4.58716	1.54277	0.00285
4.59559	1.54241	0.00287
4.60405	1.54205	0.00289
4.61255	1.54169	0.00291
4.62107	1.54133	0.00293
4.62963	1.54096	0.00295
4.63822	1.5406	0.00297
4.64684	1.54023	0.00299
4.65549	1.53985	0.00301
4.66418	1.53948	0.00303
4.6729	1.5391	0.00305
4.68165	1.53872	0.00307
4.69043	1.53834	0.00309
4.69925	1.53796	0.00312
4.7081	1.53757	0.00314
4.71698	1.53718	0.00316
4.7259	1.53679	0.00318
4.73485	1.53639	0.0032
4.74383	1.536	0.00323
4.75285	1.5356	0.00325
4.7619	1.53519	0.00327
4.77099	1.53479	0.0033
4.78011	1.53438	0.00332
4.78927	1.53397	0.00334
4.79846	1.53356	0.00337
4.80769	1.53314	0.00339
4.81696	1.53272	0.00342
4.82625	1.5323	0.00344
4.83559	1.53188	0.00347
4.84496	1.53145	0.00349
4.85437	1.53102	0.00352
4.86381	1.53059	0.00354
4.87329	1.53015	0.00357
4.88281	1.52971	0.00359
4.89237	1.52927	0.00362
4.90196	1.52883	0.00365
4.91159	1.52838	0.00367
4.92126	1.52793	0.0037
4.93097	1.52747	0.00373
4.94071	1.52702	0.00376
4.9505	1.52656	0.00379
4.96032	1.52609	0.00381
4.97018	1.52562	0.00384
4.98008	1.52515	0.00387
4.99002	1.52468	0.0039
5.0	1.5242	0.00393
5.01002	1.52372	0.00396
5.02008	1.52324	0.00399
5.03018	1.52275	0.00402
5.04032	1.52226	0.00405
5.05051	1.52177	0.00409
5.06073	1.52127	0.00412
5.07099	1.52077	0.00415
5.0813	1.52027	0.00418
5.09165	1.51976	0.00421
5.10204	1.51925	0.00425
5.11247	1.51873	0.00428
5.12295	1.51821	0.00432
5.13347	1.51769	0.00435
5.14403	1.51716	0.00438
5.15464	1.51663	0.00442
5.16529	1.5161	0.00446
5.17598	1.51556	0.00449
5.18672	1.51501	0.00453
5.19751	1.51447	0.00456
5.20833	1.51392	0.0046
5.21921	1.51336	0.00464
5.23013	1.5128	0.00468
5.24109	1.51224	0.00472
5.2521	1.51167	0.00475
5.26316	1.5111	0.00479
5.27426	1.51052	0.00483
5.28541	1.50994	0.00487
5.29661	1.50936	0.00491
5.30786	1.50877	0.00496
5.31915	1.50817	0.005
5.33049	1.50758	0.00504
5.34188	1.50697	0.00508
5.35332	1.50636	0.00512
5.36481	1.50575	0.00517
5.37634	1.50514	0.00521
5.38793	1.50451	0.00526
5.39957	1.50389	0.0053
5.41126	1.50325	0.00535
5.42299	1.50262	0.0054
5.43478	1.50198	0.00544
5.44662	1.50133	0.00549
5.45852	1.50068	0.00554
5.47046	1.50002	0.00559
5.48246	1.49936	0.00564
5.49451	1.49869	0.00569
5.50661	1.49801	0.00574
5.51876	1.49734	0.00579
5.53097	1.49665	0.00584
5.54324	1.49596	0.00589
5.55556	1.49527	0.00595
5.56793	1.49456	0.006
5.58036	1.49386	0.00605
5.59284	1.49314	0.00611
5.60538	1.49243	0.00616
5.61798	1.4917	0.00622
5.63063	1.49097	0.00628
5.64334	1.49023	0.00634
5.65611	1.48949	0.0064
5.66893	1.48874	0.00646
5.68182	1.48799	0.00652
5.69476	1.48722	0.00658
5.70776	1.48645	0.00664
5.72082	1.48568	0.0067
5.73394	1.4849	0.00677
5.74713	1.48411	0.00683
5.76037	1.48331	0.0069
5.77367	1.48251	0.00696
5.78704	1.4817	0.00703
5.80046	1.48089	0.0071
5.81395	1.48006	0.00717
5.82751	1.47923	0.00724
5.84112	1.47839	0.00731
5.8548	1.47755	0.00738
5.86854	1.4767	0.00746
5.88235	1.47584	0.00753
5.89623	1.47497	0.0076
5.91017	1.47409	0.00768
5.92417	1.47321	0.00776
5.93824	1.47232	0.00784
5.95238	1.47142	0.00792
5.96659	1.47051	0.008
5.98086	1.46959	0.00808
5.9952	1.46867	0.00816
6.00962	1.46773	0.00825
6.0241	1.46679	0.00833
6.03865	1.46584	0.00842
6.05327	1.46488	0.00851
6.06796	1.46391	0.0086
6.08273	1.46293	0.00869
6.09756	1.46194	0.00878
6.11247	1.46095	0.00887
6.12745	1.45994	0.00897
6.14251	1.45893	0.00907
6.15764	1.4579	0.00916
6.17284	1.45687	0.00926
6.18812	1.45582	0.00936
6.20347	1.45476	0.00947
6.21891	1.4537	0.00957
6.23441	1.45262	0.00968
6.25	1.45154	0.00979
6.26566	1.45044	0.00989
6.28141	1.44933	0.01001
6.29723	1.44821	0.01012
6.31313	1.44708	0.01023
6.32911	1.44594	0.01035
6.34518	1.44478	0.01047
6.36132	1.44362	0.01059
6.37755	1.44244	0.01071
6.39386	1.44125	0.01084
6.41026	1.44005	0.01096
6.42674	1.43883	0.01109
6.4433	1.43761	0.01122
6.45995	1.43637	0.01135
6.47668	1.43512	0.01149
6.49351	1.43385	0.01163
6.51042	1.43257	0.01177
6.52742	1.43128	0.01191
6.5445	1.42997	0.01205
6.56168	1.42865	0.0122
6.57895	1.42732	0.01235
6.59631	1.42597	0.0125
6.61376	1.4246	0.01266
6.6313	1.42323	0.01282
6.64894	1.42183	0.01298
6.66667	1.42042	0.01314
6.68449	1.419	0.01331
6.70241	1.41756	0.01348
6.72043	1.4161	0.01365
6.73854	1.41463	0.01383
6.75676	1.41314	0.01401
6.77507	1.41163	0.01419
6.79348	1.41011	0.01438
6.81199	1.40857	0.01457
6.8306	1.40701	0.01476
6.84932	1.40543	0.01496
6.86813	1.40383	0.01516
6.88705	1.40222	0.01536
6.90608	1.40059	0.01557
6.92521	1.39893	0.01579
6.94444	1.39726	0.016
6.96379	1.39557	0.01622
6.98324	1.39385	0.01645
7.0028	1.39212	0.01668
7.02247	1.39037	0.01692
7.04225	1.38859	0.01716
7.06215	1.38679	0.0174
7.08215	1.38497	0.01765
7.10227	1.38313	0.01791
7.12251	1.38126	0.01817
7.14286	1.37937	0.01843
7.16332	1.37746	0.01871
7.18391	1.37552	0.01898
7.20461	1.37356	0.01927
7.22543	1.37157	0.01956
7.24638	1.36955	0.01985
7.26744	1.36751	0.02016
7.28863	1.36545	0.02047
7.30994	1.36335	0.02078
7.33138	1.36123	0.02111
7.35294	1.35908	0.02144
7.37463	1.3569	0.02178
7.39645	1.35469	0.02212
7.4184	1.35245	0.02248
7.44048	1.35018	0.02284
7.46269	1.34787	0.02321
7.48503	1.34554	0.02359
7.50751	1.34317	0.02398
7.53012	1.34077	0.02438
7.55287	1.33834	0.02479
7.57576	1.33587	0.02521
7.59878	1.33337	0.02564
7.62195	1.33082	0.02607
7.64526	1.32825	0.02653
7.66871	1.32563	0.02699
7.69231	1.32298	0.02746
7.71605	1.32028	0.02795
7.73994	1.31755	0.02845
7.76398	1.31477	0.02896
7.78816	1.31195	0.02948
7.8125	1.30909	0.03002
7.83699	1.30619	0.03058
7.86164	1.30323	0.03114
7.88644	1.30024	0.03173
7.91139	1.29719	0.03233
7.93651	1.2941	0.03295
7.96178	1.29096	0.03358
7.98722	1.28776	0.03423
8.01282	1.28451	0.0349
8.03859	1.28122	0.0356
8.06452	1.27786	0.03631
8.09061	1.27445	0.03704
8.11688	1.27098	0.03779
8.14332	1.26745	0.03857
8.16993	1.26387	0.03937
8.19672	1.26022	0.04019
8.22368	1.2565	0.04104
8.25083	1.25273	0.04192
8.27815	1.24888	0.04283
8.30565	1.24496	0.04376
8.33333	1.24098	0.04472
8.3612	1.23692	0.04572
8.38926	1.23279	0.04675
8.41751	1.22858	0.04781
8.44595	1.22429	0.04891
8.47458	1.21992	0.05005
8.5034	1.21547	0.05122
8.53242	1.21093	0.05244
8.56164	1.20631	0.0537
8.59107	1.20159	0.05501
8.62069	1.19678	0.05636
8.65052	1.19187	0.05776
8.68056	1.18687	0.05922
8.7108	1.18176	0.06073
8.74126	1.17654	0.0623
8.77193	1.17122	0.06392
8.80282	1.16579	0.06562
8.83392	1.16024	0.06737
8.86525	1.15457	0.0692
8.8968	1.14878	0.07111
8.92857	1.14287	0.07309
8.96057	1.13682	0.07516
8.99281	1.13064	0.07731
9.02527	1.12432	0.07956
9.05797	1.11786	0.08191
9.09091	1.11124	0.08436
9.12409	1.10448	0.08692
9.15751	1.09755	0.0896
9.19118	1.09047	0.0924
9.22509	1.08321	0.09533
9.25926	1.07578	0.09841
9.29368	1.06817	0.10164
9.32836	1.06037	0.10502
9.3633	1.05239	0.10858
9.3985	1.0442	0.11232
9.43396	1.03581	0.11625
9.4697	1.02721	0.1204
9.5057	1.01839	0.12476
9.54198	1.00935	0.12937
9.57854	1.00008	0.13424
9.61538	0.99058	0.13938
9.65251	0.98083	0.14482
9.68992	0.97084	0.15058
9.72763	0.96059	0.15668
9.76563	0.95009	0.16316
9.80392	0.93933	0.17005
9.84252	0.92832	0.17736
9.88142	0.91704	0.18515
9.92063	0.9055	0.19345
9.96016	0.89371	0.2023
10.0	0.88168	0.21175
10.04016	0.86941	0.22184
10.08065	0.85692	0.23263
10.12146	0.84424	0.24417
10.1626	0.8314	0.25652
10.20408	0.81842	0.26974
10.2459	0.80537	0.28389
10.28807	0.7923	0.29903
10.33058	0.77927	0.31522
10.37344	0.76638	0.33252
10.41667	0.7537	0.35097
10.46025	0.74134	0.37062
10.5042	0.72943	0.39147
10.54852	0.71808	0.41356
10.59322	0.70742	0.43685
10.6383	0.69758	0.46134
10.68376	0.68868	0.48697
10.72961	0.68082	0.51367
10.77586	0.67413	0.54138
10.82251	0.66867	0.57
10.86957	0.66453	0.59944
10.91703	0.66176	0.62961
10.96491	0.66041	0.66042
11.01322	0.66051	0.69177
11.06195	0.66208	0.7236
11.11111	0.66515	0.75582
11.16071	0.66974	0.78838
11.21076	0.67587	0.8212
11.26126	0.68356	0.85424
11.31222	0.69285	0.88745
11.36364	0.70376	0.92076
11.41553	0.71635	0.95414
11.46789	0.73066	0.98753
11.52074	0.74675	1.02086
11.57407	0.7647	1.05408
11.62791	0.78456	1.08709
11.68224	0.80644	1.11982
11.73709	0.83041	1.15215
11.79245	0.85657	1.18396
11.84834	0.88502	1.21509
11.90476	0.91585	1.24536
11.96172	0.94914	1.27459
12.01923	0.98498	1.30251
12.07729	1.02342	1.32886
12.13592	1.0645	1.35333
12.19512	1.10822	1.37557
12.2549	1.15452	1.39519
12.31527	1.2033	1.41178
12.37624	1.25437	1.42491
12.43781	1.30747	1.43413
12.5	1.36224	1.43901
12.56281	1.41821	1.43915
12.62626	1.47481	1.43422
12.69036	1.53139	1.42396
12.7551	1.58722	1.40823
12.82051	1.64151	1.38706
12.8866	1.69348	1.3606
12.95337	1.74235	1.32918
13.02083	1.78746	1.29327
13.08901	1.8282	1.25349
13.15789	1.86415	1.21053
13.22751	1.89501	1.16515
13.29787	1.92065	1.11812
13.36898	1.9411	1.07018
13.44086	1.95651	1.02202
13.51351	1.96714	0.97425
13.58696	1.97331	0.92738
13.6612	1.9754	0.88181
13.73626	1.97382	0.83788
13.81215	1.96897	0.7958
13.88889	1.96126	0.75574
13.96648	1.95104	0.71776
14.04494	1.93866	0.68192
14.12429	1.92442	0.64819
14.20455	1.90861	0.61654
14.28571	1.89145	0.5869

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: —

Al₂O₃ (Aluminium sesquioxide, Sapphire, Alumina): all datasets

Crystal

Thin film

About Al2O3 (Aluminium sesquioxide, Sapphire, Alumina)

Al₂O₃, commonly known as alumina or aluminum oxide, is a ceramic material that has a wide range of applications due to its excellent mechanical and optical properties. This compound crystallizes in various phases, the most stable and common of which is the corundum structure. Alumina is transparent in the ultraviolet to the infrared range, making it a versatile material for a variety of optical applications such as protective windows and lenses. It has a high refractive index and is also known for its strong dielectric properties. One of the key attributes of Al₂O₃ is its remarkable thermal stability and resistance to chemical attack, which makes it suitable for harsh environment applications. Furthermore, the material has been investigated for its nonlinear optical characteristics, although it is generally less efficient in this regard compared to other nonlinear optical materials. Alumina can also serve as a substrate material for thin-film optical coatings. In summary, Al₂O₃ is a robust and multifunctional material that is extensively studied for its enduring relevance in both traditional and advanced optical systems. Mineral: Corundum Gemstones: Sapphire, Ruby

More about Al2O3 (Aluminium sesquioxide, Sapphire, Alumina) →

Provenance

Version: 1 (snapshot c5c2f18)
Source page: refractiveindex.info
Original file: database/data/main/Al2O3/nk/Kischkat.yml
ID: ds_f3c2e3ff8c80
API: /v1/datasets/ds_f3c2e3ff8c80

Plot