Optical constants

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

Querry 1985: Thin film (oxidized Al mirror); n,k 0.21–12.5 µm

Data: tabulated nk
Range: 0.21–12.5 µm
Points: 548
Licence: CC0-1.0

Axis Log x Log y

Click the plot to set the calculator wavelength.

At one wavelength

Refractive index n: 0.96716
Extinction coefficient k: 6.05124

Permittivity ε₁: -35.6821
Permittivity ε₂: 11.705

Absorption coefficient α: 1.29411e+06 cm⁻¹
Penetration depth δ = λ/(2πk): 15.4546 nm

Abbe number V_d: —
Chromatic dispersion dn/dλ: 4.1 µm⁻¹

Group index n_g: -1.442
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

# Al2O3 (Aluminium sesquioxide, Sapphire, Alumina): Querry 1985: Thin film (oxidized Al mirror); n,k 0.21–12.5 µm
al2o3 = ls.fetch_refractiveindex("main", "Al2O3", "Querry", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(al2o3.range_nm)  # (210, 12500) nm
eps = al2o3.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_73cf0afebeb6/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/querry-1985).

# ... 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=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

Oxidized Al mirror.

References

M. R. Querry. Optical constants, Contractor Report CRDC-CR-85034 (1985)

Cite

M. R. Querry. Optical constants, Contractor Report CRDC-CR-85034 (1985); Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

550 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), Querry 1985: Thin film (oxidized Al mirror); n,k 0.21–12.5 µm: n and k versus wavelength
λ (µm)	n	k
0.21	0.24	1.976
0.22	0.223	2.084
0.23	0.217	2.199
0.24	0.215	2.315
0.25	0.217	2.433
0.26	0.223	2.549
0.27	0.231	2.665
0.28	0.242	2.778
0.29	0.252	2.891
0.3	0.263	3.003
0.31	0.276	3.114
0.32	0.287	3.224
0.33	0.301	3.336
0.34	0.312	3.445
0.35	0.329	3.557
0.36	0.343	3.667
0.37	0.359	3.779
0.38	0.378	3.891
0.39	0.4	4.001
0.4	0.42	4.108
0.41	0.442	4.216
0.42	0.463	4.322
0.43	0.485	4.429
0.44	0.508	4.536
0.45	0.531	4.643
0.46	0.557	4.75
0.47	0.584	4.856
0.48	0.612	4.96
0.49	0.639	5.064
0.5	0.668	5.168
0.51	0.698	5.272
0.52	0.729	5.375
0.53	0.762	5.476
0.54	0.796	5.577
0.55	0.83	5.676
0.56	0.864	5.776
0.57	0.899	5.876
0.58	0.936	5.976
0.59	0.977	6.075
0.6	1.019	6.173
0.61	1.062	6.268
0.62	1.106	6.363
0.63	1.153	6.457
0.64	1.203	6.551
0.65	1.258	6.641
0.66	1.314	6.726
0.67	1.37	6.808
0.68	1.427	6.889
0.69	1.488	6.966
0.7	1.551	7.041
0.71	1.618	7.111
0.72	1.687	7.174
0.73	1.759	7.232
0.74	1.833	7.282
0.75	1.91	7.324
0.76	1.99	7.352
0.77	2.068	7.365
0.78	2.139	7.359
0.79	2.198	7.339
0.8	2.239	7.306
0.8101	2.262	7.264
0.82	2.262	7.214
0.83	2.234	7.166
0.84	2.18	7.127
0.85	2.104	7.107
0.86	2.014	7.107
0.87	1.918	7.131
0.88	1.82	7.175
0.89	1.727	7.238
0.9	1.64	7.316
0.91	1.56	7.405
0.92	1.489	7.502
0.93	1.427	7.607
0.94	1.373	7.715
0.95	1.326	7.826
0.96	1.285	7.939
0.97	1.25	8.051
0.98	1.22	8.165
0.99	1.194	8.277
1.0	1.171	8.389
1.01	1.151	8.5
1.02	1.132	8.614
1.03	1.117	8.726
1.04	1.103	8.839
1.05	1.093	8.951
1.06	1.085	9.063
1.07	1.077	9.174
1.08	1.072	9.294
1.09	1.069	9.395
1.1	1.068	9.505
1.11	1.068	9.614
1.12	1.07	9.722
1.13	1.072	9.828
1.14	1.075	9.933
1.15	1.08	10.037
1.16	1.083	10.141
1.17	1.085	10.243
1.18	1.087	10.346
1.19	1.088	10.449
1.2	1.091	10.553
1.21	1.091	10.661
1.22	1.098	10.769
1.23	1.105	10.876
1.24	1.114	10.982
1.25	1.122	11.086
1.26	1.13	11.191
1.27	1.139	11.297
1.28	1.15	11.403
1.29	1.164	11.508
1.3	1.178	11.611
1.31	1.193	11.712
1.32	1.206	11.812
1.33	1.219	11.911
1.34	1.231	12.01
1.35	1.244	12.11
1.36	1.255	12.209
1.37	1.265	12.31
1.38	1.278	12.41
1.39	1.291	12.513
1.4	1.303	12.615
1.41	1.32	12.716
1.42	1.334	12.815
1.43	1.348	12.915
1.44	1.363	13.015
1.45	1.375	13.117
1.46	1.391	13.218
1.47	1.408	13.32
1.48	1.425	13.423
1.49	1.442	13.523
1.5	1.464	13.624
1.51	1.483	13.723
1.52	1.504	13.82
1.53	1.52	13.916
1.54	1.533	14.013
1.55	1.55	14.116
1.56	1.565	14.217
1.57	1.588	14.323
1.58	1.616	14.421
1.59	1.638	14.518
1.6	1.66	14.616
1.61	1.683	14.712
1.62	1.705	14.809
1.63	1.727	14.905
1.64	1.75	15.002
1.65	1.773	15.097
1.66	1.795	15.193
1.67	1.818	15.288
1.68	1.841	15.383
1.69	1.864	15.478
1.7	1.887	15.573
1.71	1.91	15.668
1.72	1.934	15.762
1.73	1.957	15.856
1.74	1.981	15.95
1.75	2.004	16.044
1.76	2.028	16.137
1.77	2.052	16.231
1.78	2.076	16.324
1.79	2.1	16.417
1.8	2.124	16.51
1.81	2.148	16.602
1.82	2.172	16.693
1.83	2.193	16.788
1.84	2.218	16.881
1.85	2.243	16.974
1.86	2.268	17.067
1.87	2.293	17.159
1.88	2.318	17.252
1.89	2.343	17.344
1.9	2.368	17.436
1.91	2.394	17.528
1.92	2.419	17.619
1.93	2.445	17.711
1.94	2.471	17.802
1.95	2.496	17.894
1.96	2.522	17.985
1.97	2.548	18.076
1.98	2.575	18.167
1.99	2.601	18.258
2.0	2.627	18.349
2.01	2.654	18.439
2.02	2.68	18.53
2.03	2.707	18.62
2.04	2.734	18.71
2.05	2.761	18.8
2.06	2.788	18.89
2.07	2.815	18.98
2.08	2.842	19.07
2.09	2.869	19.16
2.1	2.897	19.249
2.11	2.924	19.339
2.12	2.952	19.428
2.13	2.98	19.517
2.14	3.008	19.607
2.15	3.036	19.696
2.16	3.064	19.784
2.17	3.092	19.873
2.18	3.12	19.962
2.19	3.148	20.05
2.2	3.177	20.139
2.21	3.205	20.227
2.22	3.234	20.315
2.23	3.263	20.403
2.24	3.292	20.491
2.25	3.32	20.578
2.26	3.349	20.665
2.27	3.378	20.752
2.28	3.406	20.835
2.29	3.431	20.929
2.3	3.461	21.018
2.31	3.491	21.106
2.32	3.521	21.193
2.33	3.551	21.281
2.34	3.581	21.368
2.35	3.611	21.455
2.36	3.641	21.543
2.37	3.671	21.629
2.38	3.702	21.716
2.39	3.732	21.803
2.4	3.762	21.889
2.41	3.793	21.975
2.42	3.824	22.062
2.43	3.854	22.148
2.44	3.885	22.233
2.45	3.916	22.319
2.46	3.947	22.404
2.47	3.978	22.49
2.48	4.009	22.574
2.49	4.04	22.658
2.5	4.063	22.742
2.5063	4.084	22.799
2.5126	4.105	22.854
2.5189	4.125	22.909
2.5253	4.145	22.963
2.5316	4.165	23.018
2.5381	4.186	23.073
2.5445	4.207	23.128
2.551	4.227	23.183
2.5575	4.248	23.23
2.5641	4.269	23.294
2.5707	4.29	23.35
2.5773	4.312	23.406
2.584	4.333	23.462
2.5907	4.355	23.518
2.5974	4.376	23.575
2.6042	4.398	23.631
2.611	4.42	23.688
2.6178	4.442	23.745
2.6247	4.464	23.802
2.6316	4.486	23.859
2.6385	4.508	23.916
2.6455	4.53	23.971
2.6525	4.545	24.032
2.6596	4.569	24.093
2.6667	4.593	24.153
2.6738	4.616	24.213
2.681	4.64	24.272
2.6882	4.663	24.331
2.6954	4.686	24.388
2.7027	4.702	24.451
2.71	4.728	24.514
2.7174	4.752	24.575
2.7248	4.776	24.634
2.7322	4.793	24.699
2.7397	4.819	24.763
2.7473	4.844	24.826
2.7548	4.869	24.886
2.7624	4.887	24.933
2.7701	4.914	25.019
2.7778	4.94	25.083
2.7855	4.965	25.144
2.7933	4.984	25.212
2.8011	5.011	25.28
2.809	5.038	25.343
2.8169	5.057	25.413
2.8249	5.086	25.483
2.8329	5.114	25.55
2.8409	5.141	25.614
2.849	5.161	25.686
2.8571	5.191	25.757
2.8653	5.22	25.826
2.8736	5.248	25.892
2.8818	5.269	25.965
2.8902	5.3	26.039
2.8986	5.33	26.11
2.907	5.36	26.181
2.9155	5.39	26.251
2.924	5.42	26.32
2.9326	5.442	26.395
2.9412	5.475	26.471
2.9499	5.539	26.619
2.9499	5.507	26.546
2.9674	5.571	26.693
2.9762	5.603	26.767
2.9851	5.636	26.842
2.994	5.669	26.916
3.003	5.702	26.991
3.012	5.735	27.066
3.0211	5.768	27.142
3.0303	5.802	27.218
3.0395	5.836	27.294
3.0488	5.871	27.371
3.0581	5.905	27.448
3.0675	5.94	27.525
3.0769	5.976	27.603
3.0864	6.011	27.682
3.096	6.048	27.762
3.1056	6.085	27.844
3.1153	6.132	27.919
3.125	6.166	27.994
3.1348	6.202	28.071
3.1447	6.238	28.15
3.1546	6.276	28.23
3.1646	6.313	28.31
3.1746	6.351	28.39
3.1847	6.389	28.471
3.1949	6.427	28.552
3.2051	6.466	28.634
3.2154	6.505	28.716
3.2258	6.545	28.799
3.2362	6.585	28.882
3.2468	6.625	28.966
3.2573	6.665	29.05
3.268	6.706	29.134
3.2787	6.747	29.219
3.2895	6.789	29.304
3.3003	6.831	29.39
3.3113	6.873	29.476
3.3223	6.916	29.562
3.3333	6.959	29.649
3.3445	7.003	29.737
3.3557	7.046	29.824
3.367	7.091	29.913
3.3784	7.135	30.001
3.3898	7.18	30.091
3.4014	7.225	30.18
3.413	7.271	30.27
3.4247	7.317	30.36
3.4364	7.364	30.451
3.4483	7.41	30.542
3.4602	7.457	30.633
3.4722	7.504	30.723
3.4843	7.55	30.812
3.4965	7.587	30.912
3.5088	7.639	31.011
3.5211	7.69	31.108
3.5336	7.741	31.204
3.5461	7.792	31.301
3.5587	7.844	31.398
3.5714	7.896	31.495
3.5842	7.948	31.593
3.5971	8.001	31.691
3.6101	8.054	31.79
3.6232	8.108	31.889
3.6364	8.162	31.989
3.6496	8.217	32.089
3.663	8.272	32.19
3.6765	8.328	32.291
3.69	8.384	32.393
3.7037	8.441	32.495
3.7175	8.498	32.597
3.7453	8.614	32.804
3.7594	8.673	32.908
3.7594	8.556	32.7
3.7736	8.732	33.013
3.7879	8.792	33.118
3.8023	8.852	33.223
3.8168	8.913	33.33
3.8314	8.975	33.436
3.8462	9.037	33.543
3.861	9.099	33.65
3.876	9.162	33.758
3.8911	9.226	33.866
3.9063	9.29	33.975
3.9216	9.354	34.083
3.937	9.418	34.191
3.9526	9.48	34.296
3.9683	9.533	34.415
3.9841	9.603	34.533
4.0	9.672	34.647
4.0161	9.741	34.761
4.0323	9.81	34.874
4.0486	9.879	34.987
4.065	9.946	35.096
4.0816	10.002	35.22
4.0984	10.077	35.341
4.1152	10.149	35.457
4.1322	10.219	35.569
4.1494	10.277	35.695
4.1667	10.332	35.814
4.1841	10.414	35.945
4.2017	10.494	36.072
4.2194	10.569	36.19
4.2373	10.631	36.322
4.2553	10.711	36.447
4.2735	10.777	36.584
4.2918	10.862	36.715
4.3103	10.942	36.838
4.329	11.008	36.975
4.3478	11.093	37.104
4.3668	11.162	37.246
4.386	11.25	37.378
4.4053	11.322	37.524
4.4248	11.415	37.663
4.4444	11.501	37.792
4.4643	11.572	37.933
4.4843	11.652	38.089
4.5045	11.75	38.235
4.5249	11.842	38.37
4.5455	11.921	38.522
4.5662	12.018	38.664
4.5872	12.1	38.821
4.6083	12.201	38.967
4.6296	12.287	39.128
4.6512	12.394	39.282
4.6729	12.496	39.427
4.6948	12.584	39.59
4.717	12.695	39.747
4.7393	12.801	39.895
4.7619	12.893	40.063
4.7847	13.009	40.225
4.8077	13.122	40.381
4.8309	13.232	40.532
4.8544	13.329	40.704
4.878	13.452	40.871
4.902	13.571	41.032
4.9261	13.687	41.188
4.9505	13.79	41.367
4.9751	13.92	41.54
5.0	14.048	41.708
5.0251	14.176	41.877
5.0505	14.305	42.045
5.0761	14.436	42.214
5.102	14.568	42.384
5.1282	14.701	42.555
5.1546	14.836	42.726
5.1813	14.972	42.898
5.2083	15.11	43.072
5.2356	15.25	43.246
5.2632	15.392	43.421
5.291	15.535	43.598
5.3191	15.681	43.777
5.3476	15.831	43.958
5.3763	15.986	44.145
5.4054	16.158	44.306
5.4348	16.302	44.476
5.4645	16.453	44.654
5.4945	16.606	44.833
5.5249	16.763	45.015
5.5556	16.924	45.2
5.5866	17.091	45.393
5.618	17.276	45.556
5.6497	17.431	45.73
5.6818	17.593	45.911
5.7143	17.758	46.095
5.7471	17.926	46.28
5.7803	18.097	46.466
5.814	18.269	46.654
5.848	18.444	46.842
5.8824	18.622	47.032
5.9172	18.801	47.222
5.9524	18.982	47.413
5.988	19.166	47.605
6.0241	19.351	47.798
6.0606	19.539	47.99
6.0976	19.728	48.183
6.135	19.917	48.375
6.1728	20.102	48.561
6.2112	20.273	48.783
6.25	20.483	48.991
6.2893	20.687	49.192
6.3291	20.885	49.385
6.3694	21.069	49.615
6.4103	21.292	49.829
6.4516	21.508	50.034
6.4935	21.716	50.232
6.5359	21.911	50.468
6.5789	22.145	50.685
6.6225	22.365	50.889
6.6667	22.571	51.131
6.7114	22.816	51.354
6.7568	23.047	51.561
6.8027	23.262	51.809
6.8493	23.518	52.036
6.8966	23.758	52.247
6.9444	23.982	52.498
6.993	24.24	52.721
7.0423	24.474	52.979
7.0922	24.743	53.206
7.1429	24.988	53.47
7.1942	25.267	53.703
7.2464	25.524	53.974
7.2993	25.824	54.219
7.3529	26.105	54.446
7.4074	26.372	54.721
7.4627	26.684	54.968
7.5188	26.979	55.199
7.5758	27.259	55.478
7.6336	27.586	55.729
7.6923	27.894	55.963
7.7519	28.189	56.248
7.8125	28.531	56.502
7.874	28.855	56.739
7.9365	29.165	57.03
8.0	29.524	57.287
8.0645	29.864	57.528
8.1301	30.192	57.825
8.1967	30.572	58.088
8.2645	30.941	58.339
8.3333	31.297	58.579
8.4034	31.643	58.879
8.4746	32.044	59.142
8.547	32.432	59.393
8.6207	32.807	59.633
8.6957	33.171	59.933
8.7719	33.578	60.186
8.8496	33.963	60.496
8.9286	34.402	60.761
9.009	34.814	61.007
9.0909	35.216	61.317
9.1743	35.672	61.581
9.2593	36.1	61.825
9.3458	36.516	62.135
9.434	36.975	62.388
9.5238	37.41	62.703
9.6154	37.885	62.957
9.7087	38.335	63.273
9.8039	38.825	63.527
9.901	39.289	63.844
10.0	39.791	64.095
10.101	40.253	64.404
10.2041	40.762	64.734
10.3093	41.294	64.987
10.4167	41.779	65.298
10.5263	42.3	65.622
10.6383	42.856	65.959
10.7527	43.429	66.211
10.8696	43.951	66.525
10.989	44.505	66.849
11.1111	45.078	67.176
11.236	45.665	67.506
11.3636	46.265	67.838
11.4943	46.879	68.17
11.6279	47.505	68.502
11.7647	48.14	68.834
11.9048	48.767	69.158
12.0482	49.415	69.585
12.1951	50.148	69.937
12.3457	50.874	70.282
12.5	51.611	70.623

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/Querry.yml
ID: ds_73cf0afebeb6
API: /v1/datasets/ds_73cf0afebeb6

Plot