Optical constants

Refractive index of Fe₂O₃ (Iron sesquioxide, Hematite)

Querry 1985: α-Fe2O3 (Hematite); n,k(o) 0.21–55.6 µm

Data: tabulated nk
Range: 0.21–90.91 µm
Points: 619
Optical axis: o
Licence: CC0-1.0

Uniaxial crystal, axes: oe

Axis Log x Log y

Click the plot to set the calculator wavelength.

At one wavelength

Refractive index n: 3.32064
Extinction coefficient k: 0.21928

Permittivity ε₁: 10.9786
Permittivity ε₂: 1.4563

Absorption coefficient α: 46895.1 cm⁻¹
Penetration depth δ = λ/(2πk): 426.484 nm

Abbe number V_d: —
Chromatic dispersion dn/dλ: -3.6 µm⁻¹

Group index n_g: 5.436
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

# Fe2O3 (Iron sesquioxide, Hematite): Querry 1985: α-Fe2O3 (Hematite); n,k(o) 0.21–55.6 µm
fe2o3 = ls.fetch_refractiveindex("main", "Fe2O3", "Querry-o", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(fe2o3.range_nm)  # (210, 90909.1) nm
eps = fe2o3.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_2021956e6877/lightsmith"
fe2o3 = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(fe2o3.source)  # citation and provenance travel with the data

Any dataset here, as the library's Tabulated material (fe2o3/querry-1985-o).

# ... load fe2o3 as above, then:
sim = ls.Simulation(
    particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=fe2o3)],
    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

α-Fe₂O₃ (Hematite). Ordinary ray (o).

Conditions

direction: o

Notes on the source data (kept exactly as published):

k < 0 at some wavelengths in the source data (gain, or a sign convention issue)

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

619 rows as published

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

Fe2O3 (Iron sesquioxide, Hematite), Querry 1985: α-Fe2O3 (Hematite); n,k(o) 0.21–55.6 µm: n and k versus wavelength
λ (µm)	n	k
0.21	1.202	1.207
0.22	1.471	1.291
0.23	1.659	1.309
0.24	1.79	1.309
0.25	1.899	1.315
0.26	2.007	1.317
0.27	2.11	1.3
0.28	2.197	1.27
0.29	2.261	1.233
0.3	2.307	1.208
0.31	2.357	1.195
0.32	2.416	1.169
0.33	2.454	1.122
0.34	2.45	1.085
0.35	2.43	1.093
0.36	2.433	1.14
0.37	2.47	1.202
0.38	2.545	1.258
0.39	2.645	1.291
0.4	2.756	1.294
0.41	2.863	1.271
0.42	2.962	1.231
0.43	3.052	1.173
0.44	3.126	1.101
0.45	3.181	1.02
0.46	3.217	0.943
0.47	3.242	0.874
0.48	3.264	0.809
0.49	3.28	0.741
0.5	3.282	0.675
0.51	3.272	0.622
0.52	3.262	0.587
0.53	3.266	0.564
0.54	3.286	0.538
0.55	3.318	0.498
0.56	3.348	0.437
0.57	3.361	0.357
0.58	3.348	0.274
0.59	3.312	0.202
0.6	3.265	0.149
0.61	3.218	0.114
0.62	3.175	0.089
0.63	3.135	0.073
0.64	3.102	0.065
0.65	3.074	0.057
0.66	3.051	0.051
0.67	3.029	0.043
0.68	3.008	0.038
0.69	2.99	0.034
0.7	2.972	0.031
0.71	2.956	0.028
0.72	2.942	0.026
0.73	2.929	0.024
0.74	2.916	0.022
0.75	2.903	0.021
0.76	2.892	0.02
0.77	2.882	0.02
0.78	2.872	0.019
0.79	2.862	0.019
0.8	2.853	0.02
0.81	2.845	0.022
0.82	2.838	0.024
0.83	2.833	0.025
0.84	2.828	0.026
0.85	2.824	0.027
0.86	2.82	0.027
0.87	2.816	0.026
0.88	2.813	0.026
0.89	2.809	0.026
0.9	2.805	0.024
0.91	2.801	0.024
0.92	2.798	0.023
0.93	2.794	0.023
0.94	2.791	0.023
0.95	2.789	0.022
0.96	2.787	0.021
0.97	2.784	0.02
0.98	2.781	0.018
0.99	2.778	0.017
1.0	2.775	0.015
1.01	2.771	0.015
1.02	2.768	0.014
1.03	2.765	0.013
1.04	2.762	0.012
1.05	2.759	0.011
1.06	2.755	0.011
1.07	2.753	0.011
1.08	2.75	0.011
1.09	2.747	0.011
1.1	2.745	0.011
1.11	2.742	0.011
1.12	2.74	0.011
1.13	2.739	0.011
1.14	2.737	0.01
1.15	2.734	0.01
1.16	2.732	0.009
1.17	2.729	0.009
1.18	2.727	0.01
1.19	2.725	0.01
1.2	2.723	0.011
1.21	2.721	0.011
1.22	2.719	0.011
1.23	2.718	0.011
1.24	2.716	0.011
1.25	2.715	0.011
1.26	2.714	0.011
1.27	2.712	0.01
1.28	2.709	0.01
1.29	2.708	0.011
1.3	2.706	0.012
1.31	2.705	0.013
1.32	2.704	0.013
1.33	2.703	0.013
1.34	2.702	0.013
1.35	2.7	0.013
1.36	2.699	0.013
1.37	2.697	0.013
1.38	2.696	0.014
1.39	2.695	0.015
1.4	2.693	0.015
1.41	2.693	0.016
1.42	2.692	0.017
1.43	2.692	0.017
1.44	2.691	0.017
1.45	2.69	0.017
1.46	2.689	0.017
1.47	2.687	0.017
1.48	2.686	0.018
1.49	2.686	0.018
1.5	2.685	0.019
1.51	2.684	0.019
1.52	2.683	0.019
1.53	2.683	0.02
1.54	2.682	0.021
1.55	2.682	0.021
1.56	2.682	0.02
1.57	2.681	0.02
1.58	2.68	0.02
1.59	2.679	0.021
1.6	2.678	0.022
1.61	2.677	0.023
1.62	2.677	0.023
1.63	2.677	0.024
1.64	2.677	0.024
1.65	2.677	0.024
1.66	2.676	0.024
1.67	2.676	0.024
1.68	2.676	0.024
1.69	2.675	0.024
1.7	2.674	0.024
1.71	2.674	0.024
1.72	2.673	0.025
1.73	2.673	0.025
1.74	2.673	0.025
1.75	2.672	0.025
1.76	2.672	0.025
1.77	2.671	0.026
1.78	2.672	0.026
1.79	2.671	0.025
1.8	2.67	0.024
1.81	2.669	0.025
1.82	2.668	0.025
1.83	2.667	0.026
1.84	2.666	0.026
1.85	2.665	0.027
1.86	2.664	0.029
1.87	2.664	0.031
1.88	2.665	0.032
1.89	2.666	0.032
1.9	2.667	0.032
1.91	2.667	0.032
1.92	2.667	0.032
1.93	2.667	0.032
1.94	2.667	0.032
1.95	2.667	0.031
1.96	2.667	0.031
1.97	2.666	0.031
1.98	2.666	0.031
1.99	2.665	0.031
2.0	2.665	0.031
2.01	2.665	0.032
2.02	2.665	0.032
2.03	2.665	0.032
2.04	2.665	0.032
2.05	2.664	0.032
2.06	2.664	0.033
2.07	2.664	0.033
2.08	2.664	0.033
2.09	2.664	0.033
2.1	2.664	0.032
2.11	2.664	0.033
2.12	2.663	0.033
2.13	2.663	0.033
2.14	2.663	0.033
2.15	2.663	0.033
2.16	2.663	0.034
2.17	2.663	0.034
2.18	2.663	0.034
2.19	2.662	0.034
2.2	2.662	0.034
2.21	2.662	0.034
2.22	2.662	0.034
2.23	2.662	0.034
2.24	2.662	0.034
2.25	2.662	0.034
2.26	2.662	0.034
2.27	2.662	0.034
2.28	2.662	0.034
2.29	2.662	0.034
2.3	2.662	0.034
2.31	2.661	0.034
2.32	2.661	0.034
2.33	2.661	0.034
2.34	2.661	0.034
2.35	2.661	0.034
2.36	2.661	0.034
2.37	2.66	0.034
2.38	2.66	0.034
2.39	2.66	0.035
2.4	2.66	0.034
2.41	2.66	0.034
2.42	2.659	0.034
2.43	2.659	0.035
2.44	2.659	0.035
2.45	2.66	0.035
2.46	2.66	0.034
2.47	2.659	0.034
2.48	2.659	0.034
2.49	2.658	0.033
2.5	2.658	0.034
2.5063	2.658	0.034
2.5126	2.658	0.034
2.5189	2.657	0.034
2.5253	2.657	0.035
2.5316	2.657	0.035
2.5381	2.658	0.036
2.5445	2.658	0.036
2.551	2.658	0.035
2.5575	2.658	0.036
2.5641	2.658	0.036
2.5707	2.659	0.036
2.5773	2.659	0.035
2.584	2.659	0.035
2.5907	2.659	0.035
2.5974	2.659	0.035
2.6042	2.659	0.035
2.611	2.659	0.034
2.6178	2.659	0.034
2.6247	2.659	0.034
2.6316	2.659	0.033
2.6385	2.658	0.033
2.6455	2.657	0.033
2.6525	2.657	0.034
2.6596	2.658	0.034
2.6667	2.659	0.034
2.6738	2.659	0.033
2.681	2.658	0.032
2.6882	2.657	0.032
2.6954	2.657	0.032
2.7027	2.657	0.032
2.71	2.657	0.032
2.7174	2.657	0.032
2.7248	2.657	0.032
2.7322	2.656	0.032
2.7397	2.656	0.032
2.7473	2.655	0.032
2.7548	2.655	0.032
2.7624	2.656	0.032
2.7701	2.656	0.032
2.7778	2.655	0.031
2.7855	2.655	0.031
2.7933	2.655	0.031
2.8011	2.655	0.031
2.809	2.654	0.031
2.8169	2.654	0.031
2.8249	2.654	0.031
2.8329	2.653	0.031
2.8409	2.653	0.031
2.849	2.653	0.031
2.8571	2.653	0.031
2.8653	2.652	0.031
2.8736	2.652	0.031
2.8818	2.652	0.031
2.8902	2.652	0.031
2.8986	2.651	0.031
2.907	2.651	0.031
2.9155	2.651	0.031
2.924	2.65	0.031
2.9326	2.65	0.031
2.9412	2.65	0.031
2.9499	2.65	0.032
2.9586	2.65	0.032
2.9674	2.65	0.032
2.9762	2.65	0.032
2.9851	2.65	0.032
2.994	2.65	0.032
3.003	2.65	0.032
3.012	2.65	0.031
3.0211	2.649	0.031
3.0303	2.649	0.031
3.0395	2.648	0.031
3.0488	2.648	0.032
3.0581	2.648	0.031
3.0675	2.648	0.031
3.0769	2.648	0.031
3.0864	2.648	0.031
3.096	2.647	0.03
3.1056	2.647	0.03
3.1153	2.646	0.03
3.125	2.646	0.031
3.1348	2.646	0.031
3.1447	2.646	0.031
3.1546	2.645	0.031
3.1646	2.645	0.031
3.1746	2.644	0.031
3.1847	2.644	0.031
3.1949	2.644	0.031
3.2051	2.644	0.031
3.2154	2.643	0.031
3.2258	2.643	0.031
3.2362	2.643	0.032
3.2468	2.643	0.031
3.2573	2.643	0.031
3.268	2.642	0.031
3.2787	2.642	0.031
3.2895	2.642	0.031
3.3003	2.642	0.031
3.3113	2.64	0.032
3.3223	2.64	0.032
3.3333	2.641	0.032
3.3445	2.641	0.032
3.3557	2.641	0.032
3.367	2.641	0.032
3.3784	2.641	0.032
3.3898	2.641	0.032
3.4014	2.64	0.032
3.413	2.641	0.032
3.4247	2.64	0.031
3.4364	2.64	0.031
3.4483	2.64	0.031
3.4602	2.639	0.031
3.4722	2.639	0.031
3.4843	2.639	0.03
3.4965	2.638	0.03
3.5088	2.638	0.03
3.5211	2.638	0.03
3.5336	2.637	0.03
3.5461	2.637	0.03
3.5587	2.636	0.03
3.5714	2.635	0.03
3.5842	2.635	0.03
3.5971	2.635	0.031
3.6101	2.635	0.031
3.6232	2.635	0.03
3.6364	2.634	0.03
3.6496	2.634	0.03
3.663	2.634	0.03
3.6765	2.633	0.03
3.69	2.633	0.03
3.7037	2.632	0.029
3.7175	2.632	0.03
3.7313	2.631	0.03
3.7453	2.631	0.03
3.7594	2.631	0.03
3.7736	2.63	0.029
3.7879	2.63	0.029
3.8023	2.629	0.029
3.8168	2.628	0.029
3.8314	2.628	0.03
3.8462	2.628	0.03
3.861	2.627	0.03
3.876	2.627	0.029
3.6911	2.627	0.03
3.9063	2.626	0.029
3.9216	2.625	0.03
3.937	2.625	0.03
3.9526	2.625	0.029
3.9683	2.624	0.029
3.9841	2.624	0.029
4.0	2.624	0.029
4.0161	2.623	0.029
4.0323	2.623	0.029
4.0486	2.622	0.029
4.065	2.621	0.028
4.0816	2.62	0.028
4.0984	2.62	0.029
4.1152	2.619	0.029
4.1322	2.619	0.028
4.1494	2.618	0.028
4.1667	2.616	0.028
4.1841	2.615	0.029
4.2017	2.615	0.03
4.2194	2.616	0.03
4.2373	2.616	0.03
4.2553	2.615	0.029
4.2735	2.615	0.028
4.2918	2.613	0.028
4.3103	2.612	0.028
4.329	2.611	0.028
4.3478	2.61	0.028
4.3668	2.609	0.028
4.386	2.609	0.029
4.4053	2.608	0.029
4.4248	2.607	0.029
4.4444	2.607	0.03
4.4643	2.606	0.03
4.4843	2.605	0.03
4.5045	2.605	0.03
4.5249	2.604	0.03
4.5455	2.604	0.03
4.5662	2.603	0.03
4.5872	2.602	0.03
4.6083	2.602	0.03
4.6296	2.601	0.03
4.6512	2.6	0.03
4.6729	2.599	0.03
4.6948	2.598	0.03
4.717	2.598	0.03
4.7393	2.597	0.03
4.7619	2.596	0.03
4.7847	2.595	0.03
4.8077	2.595	0.03
4.8309	2.593	0.03
4.8544	2.593	0.03
4.878	2.592	0.03
4.902	2.591	0.031
4.9261	2.59	0.031
4.9505	2.588	0.031
4.9751	2.588	0.031
5.0	2.587	0.031
5.0251	2.586	0.031
5.0505	2.585	0.03
5.0761	2.584	0.031
5.102	2.583	0.031
5.1282	2.582	0.031
5.1546	2.581	0.031
5.1813	2.58	0.031
5.2083	2.579	0.031
5.2356	2.578	0.031
5.2632	2.576	0.031
5.291	2.575	0.031
5.3191	2.575	0.031
5.3476	2.573	0.031
5.3763	2.572	0.031
5.4054	2.57	0.031
5.4348	2.569	0.031
5.4645	2.568	0.031
5.4945	2.567	0.032
5.5249	2.565	0.032
5.5556	2.564	0.032
5.5866	2.562	0.032
5.618	2.561	0.032
5.6497	2.56	0.032
5.6818	2.559	0.032
5.7143	2.557	0.032
5.7471	2.556	0.032
5.7803	2.554	0.031
5.814	2.552	0.032
5.848	2.551	0.032
5.8824	2.549	0.032
5.9172	2.547	0.031
5.9524	2.545	0.031
5.988	2.543	0.032
6.0241	2.542	0.032
6.0606	2.541	0.032
6.0976	2.539	0.032
6.135	2.536	0.031
6.1728	2.534	0.031
6.2112	2.532	0.031
6.25	2.529	0.032
6.2893	2.527	0.032
6.3291	2.525	0.033
6.3694	2.524	0.033
6.4103	2.522	0.033
6.4516	2.52	0.033
6.4935	2.517	0.033
6.5359	2.516	0.033
6.5789	2.514	0.033
6.6225	2.511	0.032
6.6667	2.508	0.031
6.7114	2.505	0.032
6.7568	2.503	0.032
6.8027	2.5	0.032
6.8493	2.498	0.032
6.8966	2.494	0.031
6.9444	2.491	0.031
6.993	2.488	0.031
7.0423	2.485	0.03
7.0922	2.481	0.03
7.1429	2.477	0.03
7.1942	2.474	0.03
7.2464	2.469	0.03
7.2993	2.466	0.03
7.3529	2.462	0.029
7.4074	2.457	0.029
7.4627	2.452	0.03
7.5188	2.447	0.031
7.5758	2.443	0.031
7.6336	2.438	0.031
7.6923	2.433	0.032
7.7519	2.428	0.033
7.8125	2.423	0.034
7.874	2.418	0.035
7.9365	2.414	0.035
8.0	2.409	0.036
8.0645	2.404	0.036
8.1301	2.398	0.037
8.1967	2.392	0.038
8.2645	2.386	0.039
8.3333	2.381	0.039
8.4034	2.375	0.04
8.4746	2.369	0.041
8.547	2.363	0.042
8.6207	2.356	0.043
8.6957	2.349	0.044
8.7719	2.344	0.044
8.8496	2.337	0.044
8.9286	2.329	0.044
9.009	2.321	0.044
9.0909	2.312	0.045
9.1743	2.303	0.046
9.2593	2.294	0.047
9.3458	2.284	0.048
9.434	2.275	0.05
9.5238	2.265	0.052
9.6154	2.256	0.054
9.7087	2.246	0.055
9.8039	2.236	0.055
9.901	2.224	0.055
10.0	2.212	0.056
10.101	2.199	0.057
10.2041	2.185	0.058
10.3093	2.17	0.06
10.4167	2.155	0.064
10.5263	2.141	0.066
10.6383	2.126	0.069
10.7527	2.11	0.072
10.8696	2.095	0.076
10.989	2.081	0.079
11.1111	2.065	0.078
11.236	2.045	0.077
11.3636	2.023	0.076
11.4943	1.999	0.077
11.6279	1.974	0.08
11.7647	1.949	0.081
11.9048	1.921	0.083
12.0482	1.891	0.085
12.1951	1.857	0.088
12.3457	1.823	0.093
12.5	1.786	0.097
12.6582	1.745	0.102
12.8205	1.702	0.106
12.987	1.653	0.111
13.1579	1.597	0.119
13.3333	1.536	0.132
13.5135	1.471	0.147
13.6986	1.399	0.167
13.8889	1.322	0.192
14.0845	1.238	0.221
14.2857	1.145	0.256
14.4928	1.037	0.297
14.7059	0.91	0.35
14.9254	0.754	0.44
15.1515	0.601	0.586
15.3846	0.478	0.779
15.625	0.403	0.994
15.873	0.361	1.201
16.129	0.327	1.406
16.3934	0.307	1.624
16.6667	0.304	1.855
16.9492	0.318	2.096
17.2414	0.342	2.358
17.5439	0.395	2.669
17.8571	0.522	3.035
18.1818	0.787	3.436
18.5185	1.265	3.791
18.8679	2.007	3.911
19.2308	2.82	3.368
19.6078	2.673	2.292
20.0	1.764	2.054
20.4082	1.105	2.553
20.8333	0.902	3.328
21.2766	1.015	4.068
21.7391	1.268	4.993
22.2222	2.23	6.303
22.7273	4.992	6.991
23.2558	7.431	4.077
23.8095	6.229	1.587
24.3902	4.966	0.982
25.0	4.1	0.718
25.641	3.262	0.656
26.3158	2.383	0.803
27.027	1.554	1.39
27.7778	1.03	2.254
28.5714	0.808	3.245
29.4118	0.846	4.284
30.303	1.005	5.382
31.25	1.402	6.922
32.2581	2.681	9.062
33.3333	6.494	11.145
34.4828	12.585	8.306
35.7143	11.932	2.15
37.037	9.433	0.782
38.4615	8.312	0.389
40.0	7.29	0.132
41.6667	6.649	0.601
43.4783	7.022	0.668
45.4545	6.789	0.03
47.619	6.359	-0.074
50.0	6.094	-0.117
52.6316	5.844	-0.148
55.5556	5.658	-0.144
58.8235	5.509	-0.134
62.5	5.387	-0.124
66.6667	5.285	-0.113
71.4286	5.198	-0.103
76.9231	5.124	-0.094
83.3333	5.06	-0.085
90.9091	5.005	-0.076

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: —

Fe₂O₃ (Iron sesquioxide, Hematite): all datasets

About Fe2O3 (Iron sesquioxide, Hematite)

Iron sesquioxide (Fe₂O₃), also known as ferric oxide or hematite, is a reddish-brown compound with various applications across industries. In optics, Fe₂O₃ is often used as a pigment in coatings and materials that require specific absorption or scattering properties. Its optically active properties have also made it a subject of study for photonic and plasmonic applications, particularly in the development of sensors and imaging technologies. Thin films of Fe₂O₃ have been investigated for use in optoelectronic devices and waveguides. While not a traditional optical material, iron sesquioxide provides specific characteristics beneficial to specialized optical applications and research. Minerals: Hematite (haematite), Maghemite.

More about Fe2O3 (Iron sesquioxide, Hematite) →

Provenance

Version: 1 (snapshot c5c2f18)
Source page: refractiveindex.info
Original file: database/data/main/Fe2O3/nk/Querry-o.yml
ID: ds_2021956e6877
API: /v1/datasets/ds_2021956e6877

Plot