Optical constants

Refractive index of Fe₂O₃ (Iron sesquioxide, Hematite)

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

Data: tabulated nk
Range: 0.21–55.56 µm
Points: 611
Optical axis: e
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: 2.937
Extinction coefficient k: 0.24268

Permittivity ε₁: 8.56708
Permittivity ε₂: 1.4255

Absorption coefficient α: 51899.4 cm⁻¹
Penetration depth δ = λ/(2πk): 385.361 nm

Abbe number V_d: —
Chromatic dispersion dn/dλ: -2.5 µm⁻¹

Group index n_g: 4.406
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(e) 0.21–55.6 µm
fe2o3 = ls.fetch_refractiveindex("main", "Fe2O3", "Querry-e", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(fe2o3.range_nm)  # (210, 55555.6) 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_7784f73dc159/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-e).

# ... 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). Extraordinary ray (e).

Conditions

direction: e

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

613 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(e) 0.21–55.6 µm: n and k versus wavelength
λ (µm)	n	k
0.21	1.108	1.048
0.22	1.349	1.127
0.23	1.517	1.145
0.24	1.635	1.145
0.25	1.733	1.149
0.26	1.828	1.148
0.27	1.917	1.133
0.28	1.992	1.107
0.29	2.049	1.076
0.3	2.09	1.053
0.31	2.134	1.041
0.32	2.185	1.018
0.33	2.218	0.979
0.34	2.219	0.947
0.35	2.206	0.951
0.36	2.211	0.987
0.37	2.243	1.034
0.38	2.305	1.075
0.39	2.387	1.097
0.4	2.475	1.096
0.41	2.56	1.075
0.42	2.638	1.04
0.43	2.708	0.993
0.44	2.766	0.936
0.45	2.809	0.873
0.46	2.837	0.813
0.47	2.858	0.758
0.48	2.876	0.707
0.49	2.89	0.654
0.5	2.893	0.602
0.51	2.887	0.56
0.52	2.881	0.532
0.53	2.885	0.512
0.54	2.901	0.492
0.55	2.927	0.46
0.56	2.951	0.413
0.57	2.963	0.351
0.58	2.956	0.286
0.59	2.931	0.229
0.6	2.898	0.186
0.61	2.862	0.156
0.62	2.83	0.134
0.63	2.8	0.119
0.64	2.775	0.11
0.65	2.753	0.103
0.66	2.736	0.096
0.67	2.719	0.089
0.68	2.703	0.083
0.69	2.688	0.078
0.7	2.675	0.075
0.71	2.662	0.072
0.72	2.652	0.068
0.73	2.641	0.066
0.74	2.631	0.063
0.75	2.621	0.061
0.76	2.612	0.06
0.77	2.604	0.059
0.78	2.596	0.058
0.79	2.589	0.057
0.8	2.582	0.057
0.81	2.575	0.057
0.82	2.57	0.058
0.83	2.566	0.059
0.84	2.562	0.059
0.85	2.559	0.059
0.86	2.555	0.058
0.87	2.552	0.058
0.88	2.549	0.057
0.89	2.547	0.056
0.9	2.544	0.054
0.91	2.541	0.053
0.92	2.537	0.053
0.93	2.535	0.052
0.94	2.533	0.051
0.95	2.531	0.051
0.96	2.529	0.049
0.97	2.527	0.048
0.98	2.525	0.046
0.99	2.522	0.045
1.0	2.52	0.043
1.01	2.517	0.042
1.02	2.515	0.042
1.03	2.512	0.04
1.04	2.51	0.039
1.05	2.507	0.039
1.06	2.504	0.038
1.07	2.502	0.038
1.08	2.5	0.037
1.09	2.498	0.037
1.1	2.496	0.036
1.11	2.494	0.036
1.12	2.492	0.036
1.13	2.491	0.036
1.14	2.49	0.035
1.15	2.488	0.034
1.16	2.486	0.034
1.17	2.483	0.033
1.18	2.482	0.033
1.19	2.48	0.034
1.2	2.479	0.034
1.21	2.477	0.034
1.22	2.476	0.033
1.23	2.474	0.034
1.24	2.473	0.033
1.25	2.473	0.033
1.26	2.471	0.033
1.27	2.47	0.032
1.28	2.468	0.032
1.29	2.466	0.032
1.3	2.465	0.033
1.31	2.464	0.033
1.32	2.463	0.033
1.33	2.463	0.033
1.34	2.461	0.033
1.35	2.46	0.033
1.36	2.459	0.033
1.37	2.458	0.033
1.38	2.457	0.033
1.39	2.456	0.034
1.4	2.455	0.034
1.41	2.454	0.034
1.42	2.454	0.035
1.43	2.453	0.035
1.44	2.453	0.035
1.45	2.452	0.034
1.46	2.451	0.034
1.47	2.45	0.035
1.48	2.449	0.035
1.49	2.449	0.035
1.5	2.448	0.035
1.51	2.448	0.036
1.52	2.447	0.036
1.53	2.446	0.036
1.54	2.446	0.037
1.55	2.446	0.037
1.56	2.446	0.036
1.57	2.445	0.036
1.58	2.444	0.036
1.59	2.443	0.036
1.6	2.442	0.037
1.61	2.442	0.038
1.62	2.442	0.038
1.63	2.442	0.038
1.64	2.441	0.038
1.65	2.441	0.038
1.66	2.441	0.038
1.67	2.441	0.038
1.68	2.44	0.038
1.69	2.44	0.038
1.7	2.44	0.038
1.71	2.439	0.038
1.72	2.439	0.038
1.73	2.438	0.038
1.74	2.438	0.038
1.75	2.438	0.038
1.76	2.438	0.038
1.77	2.437	0.039
1.78	2.438	0.038
1.79	2.437	0.037
1.8	2.436	0.037
1.81	2.435	0.037
1.82	2.434	0.038
1.83	2.433	0.038
1.84	2.433	0.038
1.85	2.432	0.039
1.86	2.431	0.04
1.87	2.431	0.042
1.88	2.432	0.043
1.89	2.433	0.043
1.9	2.434	0.043
1.91	2.434	0.042
1.92	2.434	0.042
1.94	2.434	0.042
1.95	2.434	0.042
1.95	2.434	0.042
1.96	2.433	0.041
1.97	2.433	0.041
1.98	2.433	0.041
1.99	2.432	0.041
2.0	2.432	0.041
2.01	2.432	0.041
2.02	2.432	0.042
2.03	2.432	0.042
2.04	2.432	0.041
2.05	2.432	0.042
2.06	2.431	0.042
2.07	2.431	0.042
2.08	2.432	0.042
2.09	2.431	0.041
2.1	2.431	0.041
2.11	2.431	0.041
2.12	2.43	0.042
2.13	2.43	0.042
2.14	2.43	0.042
2.15	2.43	0.041
2.16	2.43	0.041
2.17	2.43	0.042
2.18	2.43	0.042
2.19	2.43	0.042
2.2	2.43	0.042
2.21	2.43	0.042
2.22	2.43	0.042
2.23	2.43	0.042
2.24	2.43	0.042
2.25	2.43	0.042
2.26	2.43	0.041
2.27	2.429	0.041
2.28	2.429	0.041
2.29	2.429	0.041
2.3	2.429	0.041
2.31	2.429	0.041
2.32	2.429	0.041
2.33	2.429	0.041
2.34	2.429	0.041
2.35	2.429	0.041
2.36	2.428	0.04
2.37	2.428	0.04
2.38	2.428	0.04
2.39	2.428	0.041
2.4	2.428	0.04
2.41	2.428	0.04
2.42	2.428	0.04
2.43	2.428	0.04
2.44	2.428	0.04
2.45	2.428	0.04
2.46	2.428	0.039
2.47	2.428	0.039
2.48	2.427	0.038
2.49	2.427	0.038
2.5	2.426	0.037
2.5063	2.426	0.038
2.5126	2.426	0.037
2.5189	2.425	0.037
2.5253	2.425	0.037
2.5316	2.425	0.037
2.5381	2.425	0.037
2.5445	2.425	0.037
2.551	2.424	0.036
2.5575	2.423	0.036
2.5641	2.422	0.037
2.5707	2.422	0.038
2.5773	2.422	0.038
2.584	2.422	0.038
2.5907	2.422	0.038
2.5974	2.423	0.038
2.6042	2.423	0.038
2.611	2.422	0.037
2.6178	2.421	0.037
2.6247	2.421	0.038
2.6316	2.421	0.038
2.6385	2.421	0.039
2.6455	2.421	0.039
2.6525	2.421	0.039
2.6596	2.421	0.038
2.6667	2.42	0.038
2.6738	2.42	0.039
2.681	2.42	0.039
2.6882	2.42	0.039
2.6954	2.42	0.039
2.7027	2.42	0.038
2.71	2.419	0.038
2.7174	2.419	0.038
2.7248	2.418	0.039
2.7322	2.418	0.04
2.7397	2.418	0.04
2.7473	2.419	0.041
2.7548	2.419	0.041
2.7624	2.42	0.041
2.7701	2.42	0.04
2.7778	2.419	0.04
2.7855	2.419	0.04
2.7933	2.419	0.04
2.8011	2.419	0.039
2.809	2.419	0.039
2.8169	2.419	0.039
2.8249	2.419	0.039
2.8329	2.419	0.039
2.8409	2.418	0.039
2.849	2.418	0.039
2.8571	2.418	0.039
2.8653	2.418	0.039
2.8736	2.418	0.039
2.8818	2.418	0.038
2.8902	2.418	0.038
2.8986	2.417	0.038
2.907	2.416	0.038
2.9155	2.416	0.038
2.924	2.416	0.038
2.9326	2.416	0.038
2.9412	2.416	0.038
2.9499	2.416	0.038
2.9586	2.415	0.037
2.9674	2.414	0.037
2.9762	2.413	0.037
2.9851	2.412	0.038
2.994	2.412	0.039
3.003	2.413	0.039
3.012	2.413	0.039
3.0211	2.412	0.039
3.0303	2.411	0.039
3.0395	2.411	0.039
3.0488	2.41	0.04
3.0581	2.41	0.041
3.0675	2.41	0.041
3.0769	2.41	0.042
3.0864	2.411	0.042
3.096	2.411	0.042
3.1056	2.411	0.042
3.1153	2.411	0.043
3.125	2.411	0.043
3.1348	2.412	0.043
3.1447	2.413	0.043
3.1546	2.413	0.042
3.1646	2.413	0.041
3.1746	2.412	0.04
3.1847	2.412	0.04
3.1949	2.411	0.04
3.2051	2.41	0.041
3.2154	2.41	0.041
3.2258	2.41	0.041
3.2362	2.41	0.041
3.2468	2.41	0.041
3.2573	2.41	0.041
3.268	2.41	0.041
3.2787	2.411	0.041
3.2895	2.411	0.04
3.3003	2.41	0.039
3.3113	2.41	0.039
3.3223	2.408	0.038
3.3333	2.407	0.039
3.3445	2.406	0.039
3.3557	2.406	0.04
3.367	2.406	0.04
3.3784	2.406	0.039
3.3898	2.405	0.039
3.4014	2.405	0.039
3.413	2.404	0.04
3.4247	2.404	0.039
3.4364	2.403	0.039
3.4483	2.402	0.04
3.4602	2.401	0.04
3.4722	2.401	0.041
3.4843	2.401	0.041
3.4965	2.401	0.041
3.5088	2.4	0.042
3.5211	2.399	0.042
3.5336	2.399	0.043
3.5461	2.399	0.044
3.5587	2.399	0.045
3.5714	2.399	0.045
3.5842	2.399	0.046
3.5971	2.399	0.046
3.6101	2.4	0.046
3.6232	2.4	0.046
3.6364	2.4	0.046
3.6496	2.4	0.046
3.663	2.4	0.045
3.6765	2.399	0.045
3.69	2.399	0.044
3.7037	2.398	0.044
3.7175	2.397	0.045
3.7313	2.396	0.045
3.7453	2.396	0.046
3.7594	2.396	0.047
3.7736	2.396	0.047
3.7879	2.396	0.048
3.8023	2.396	0.048
3.8168	2.396	0.048
3.8314	2.396	0.048
3.8462	2.395	0.048
3.861	2.395	0.049
3.876	2.395	0.049
3.8911	2.395	0.049
3.9063	2.395	0.049
3.9216	2.394	0.05
3.937	2.395	0.051
3.9526	2.395	0.051
3.9683	2.396	0.051
3.9841	2.396	0.051
4.0	2.396	0.05
4.0161	2.396	0.05
4.0323	2.395	0.049
4.0486	2.395	0.05
4.065	2.394	0.05
4.0816	2.394	0.05
4.0984	2.394	0.05
4.1152	2.393	0.05
4.1322	2.393	0.05
4.1494	2.393	0.05
4.1494	2.393	0.05
4.1667	2.393	0.05
4.1841	2.393	0.05
4.2017	2.392	0.05
4.2194	2.392	0.05
4.2373	2.391	0.05
4.2553	2.391	0.05
4.2735	2.39	0.051
4.2918	2.39	0.051
4.3103	2.39	0.051
4.329	2.389	0.051
4.3478	2.389	0.051
4.3668	2.389	0.051
4.386	2.389	0.051
4.4053	2.388	0.051
4.4248	2.388	0.051
4.4444	2.387	0.051
4.4643	2.387	0.052
4.4843	2.386	0.052
4.5045	2.386	0.052
4.5249	2.386	0.053
4.5455	2.385	0.053
4.5662	2.385	0.053
4.5872	2.385	0.053
4.6083	2.384	0.053
4.6296	2.384	0.054
4.6512	2.383	0.054
4.6729	2.383	0.054
4.6948	2.383	0.055
4.717	2.383	0.055
4.7393	2.383	0.055
4.7619	2.383	0.055
4.7847	2.383	0.055
4.8077	2.382	0.055
4.8309	2.382	0.055
4.8544	2.382	0.055
4.878	2.382	0.055
4.902	2.381	0.055
4.9261	2.38	0.055
4.9505	2.38	0.055
4.9751	2.38	0.056
5.0	2.38	0.056
5.0251	2.38	0.056
5.0505	2.379	0.055
5.0761	2.379	0.055
5.102	2.379	0.055
5.1282	2.378	0.055
5.1546	2.378	0.055
5.1813	2.377	0.054
5.2083	2.377	0.054
5.2356	2.377	0.053
5.2632	2.376	0.053
5.291	2.375	0.053
5.3191	2.374	0.053
5.3476	2.373	0.053
5.3763	2.372	0.053
5.4054	2.372	0.053
5.4348	2.371	0.053
5.4645	2.371	0.053
5.4945	2.37	0.052
5.5249	2.369	0.052
5.5556	2.368	0.051
5.5866	2.367	0.051
5.618	2.366	0.051
5.6497	2.365	0.051
5.6818	2.363	0.05
5.7143	2.362	0.051
5.7471	2.362	0.051
5.7803	2.361	0.051
5.814	2.36	0.05
5.848	2.358	0.05
5.8824	2.357	0.05
5.9172	2.356	0.05
5.9524	2.355	0.05
5.988	2.354	0.05
6.0241	2.352	0.05
6.0606	2.351	0.05
6.0976	2.35	0.05
6.135	2.348	0.05
6.1728	2.347	0.05
6.2112	2.345	0.05
6.25	2.344	0.051
6.2893	2.343	0.05
6.3291	2.342	0.051
6.3694	2.341	0.051
6.4103	2.339	0.051
6.4516	2.338	0.05
6.4935	2.337	0.05
6.5359	2.336	0.05
6.5789	2.334	0.049
6.6225	2.333	0.049
6.6667	2.331	0.048
6.7114	2.329	0.048
6.7568	2.327	0.048
6.8027	2.326	0.047
6.8493	2.324	0.047
6.8966	2.322	0.046
6.9444	2.319	0.045
6.993	2.316	0.045
7.0423	2.314	0.045
7.0922	2.312	0.045
7.1429	2.31	0.045
7.1942	2.307	0.045
7.2464	2.305	0.044
7.2993	2.302	0.044
7.3529	2.299	0.043
7.4074	2.296	0.042
7.4627	2.293	0.042
7.5188	2.29	0.042
7.5758	2.286	0.042
7.6336	2.283	0.041
7.6923	2.28	0.041
7.7519	2.276	0.041
7.8125	2.272	0.041
7.874	2.269	0.041
7.9365	2.266	0.041
8.0	2.262	0.04
8.0645	2.257	0.04
8.1301	2.253	0.04
8.1967	2.249	0.04
8.2645	2.244	0.04
8.3333	2.24	0.04
8.4034	2.236	0.04
8.4746	2.231	0.04
8.547	2.226	0.04
8.6207	2.221	0.04
8.6957	2.216	0.039
8.7719	2.211	0.039
8.8496	2.205	0.038
8.9286	2.199	0.038
9.009	2.193	0.037
9.0909	2.187	0.037
9.1743	2.181	0.036
9.2593	2.174	0.035
9.3458	2.167	0.033
9.434	2.159	0.031
9.5238	2.146	0.03
9.6154	2.135	0.028
9.7087	2.124	0.03
9.8039	2.115	0.035
9.901	2.108	0.035
10.0	2.095	0.033
10.101	2.085	0.038
10.2041	2.077	0.035
10.3093	2.064	0.034
10.4167	2.048	0.034
10.5263	2.03	0.037
10.6383	2.018	0.044
10.7527	2.006	0.045
10.8696	1.994	0.046
10.989	1.978	0.047
11.1111	1.96	0.049
11.236	1.948	0.055
11.3636	1.934	0.054
11.4943	1.913	0.051
11.6279	1.89	0.054
11.7647	1.868	0.058
11.9048	1.848	0.061
12.0482	1.827	0.059
12.1951	1.797	0.058
12.3457	1.765	0.06
12.5	1.731	0.067
12.6582	1.7	0.074
12.8205	1.665	0.076
12.987	1.622	0.079
13.1579	1.576	0.084
13.3333	1.522	0.095
13.5135	1.467	0.107
13.6986	1.407	0.123
13.8889	1.345	0.138
14.0845	1.27	0.152
14.2857	1.182	0.171
14.4928	1.064	0.204
14.7059	0.959	0.256
14.9254	0.787	0.262
15.1515	0.55	0.419
15.3846	0.379	0.69
15.625	0.319	0.98
15.873	0.315	1.242
16.129	0.329	1.477
16.3934	0.343	1.721
16.6667	0.36	1.99
16.9492	0.42	2.317
17.2414	0.526	2.661
17.5439	0.715	3.059
17.8571	0.989	3.531
18.1818	1.561	4.088
18.5185	2.575	4.452
18.8679	3.901	4.194
19.2308	4.909	2.831
19.6078	4.568	1.535
20.0	3.969	1.089
20.4082	3.648	0.857
20.8333	3.336	0.7
21.2766	3.064	0.559
21.7391	2.787	0.429
22.2222	2.513	0.441
22.7273	2.22	0.378
23.2558	1.862	0.364
23.3095	1.459	0.483
24.3902	0.955	0.743
25.0	0.599	1.275
25.641	0.514	1.817
26.3158	0.459	2.315
27.022	0.489	2.824
27.7778	0.572	3.359
28.5714	0.668	3.852
29.4118	0.706	4.534
30.303	0.869	5.566
31.25	1.513	6.919
32.2581	3.189	8.711
33.3333	7.255	9.384
34.4828	10.555	5.441
35.7143	9.429	2.08
37.037	7.971	1.037
38.4615	7.11	0.636
40.0	6.523	0.406
41.6667	6.062	0.294
43.4783	5.727	0.258
45.4545	5.507	0.218
47.619	5.292	0.193
50.0	5.148	0.175
52.6316	5.023	0.15
55.5556	4.916	0.14

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-e.yml
ID: ds_7784f73dc159
API: /v1/datasets/ds_7784f73dc159

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