Optical constants

Refractive index of Fe₃O₄ (Iron(II,III) oxide, Magnetite)

Querry 1985: n,k 0.21–55.6 µm

Data: tabulated nk
Range: 0.21–55.56 µm
Points: 612
Licence: CC0-1.0

Axis Log x Log y

Click the plot to set the calculator wavelength.

At one wavelength

Refractive index n: 2.34352
Extinction coefficient k: 0.12956

Permittivity ε₁: 5.4753
Permittivity ε₂: 0.607253

Absorption coefficient α: 27707.6 cm⁻¹
Penetration depth δ = λ/(2πk): 721.823 nm

Abbe number V_d: —
Chromatic dispersion dn/dλ: 0.2 µm⁻¹

Group index n_g: 2.226
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

# Fe3O4 (Iron(II,III) oxide, Magnetite): Querry 1985: n,k 0.21–55.6 µm
fe3o4 = ls.fetch_refractiveindex("main", "Fe3O4", "Querry", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(fe3o4.range_nm)  # (210, 55555.6) nm
eps = fe3o4.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_bf02e23aace1/lightsmith"
fe3o4 = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(fe3o4.source)  # citation and provenance travel with the data

Any dataset here, as the library's Tabulated material (fe3o4/querry-1985).

# ... load fe3o4 as above, then:
sim = ls.Simulation(
    particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=fe3o4)],
    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

Magnetite.

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

612 rows as published

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

Fe3O4 (Iron(II,III) oxide, Magnetite), Querry 1985: n,k 0.21–55.6 µm: n and k versus wavelength
λ (µm)	n	k
0.21	2.256	0.085
0.22	2.305	0.109
0.23	2.337	0.118
0.24	2.364	0.12
0.25	2.387	0.114
0.26	2.4	0.102
0.27	2.404	0.092
0.28	2.401	0.085
0.29	2.397	0.088
0.3	2.398	0.091
0.31	2.398	0.096
0.32	2.403	0.103
0.33	2.409	0.105
0.34	2.415	0.108
0.35	2.422	0.111
0.36	2.434	0.112
0.37	2.447	0.108
0.38	2.459	0.096
0.39	2.464	0.08
0.4	2.462	0.062
0.41	2.453	0.047
0.42	2.44	0.034
0.43	2.423	0.026
0.44	2.404	0.026
0.45	2.386	0.032
0.46	2.374	0.042
0.47	2.367	0.054
0.48	2.365	0.063
0.49	2.364	0.067
0.5	2.359	0.071
0.51	2.354	0.077
0.52	2.349	0.083
0.53	2.346	0.091
0.54	2.344	0.099
0.55	2.343	0.105
0.56	2.342	0.112
0.57	2.342	0.118
0.58	2.342	0.125
0.59	2.344	0.131
0.6	2.346	0.136
0.61	2.35	0.141
0.62	2.353	0.144
0.63	2.358	0.148
0.64	2.366	0.145
0.65	2.366	0.138
0.66	2.363	0.137
0.67	2.364	0.135
0.68	2.362	0.131
0.69	2.359	0.127
0.7	2.355	0.124
0.71	2.349	0.122
0.72	2.343	0.12
0.73	2.336	0.119
0.74	2.329	0.118
0.75	2.32	0.118
0.76	2.312	0.119
0.77	2.303	0.12
0.78	2.294	0.123
0.79	2.284	0.128
0.8	2.279	0.134
0.81	2.272	0.134
0.82	2.262	0.138
0.83	2.253	0.143
0.84	2.245	0.149
0.85	2.236	0.155
0.86	2.229	0.161
0.87	2.222	0.167
0.88	2.213	0.173
0.89	2.205	0.181
0.9	2.196	0.189
0.91	2.189	0.198
0.92	2.182	0.207
0.93	2.175	0.215
0.94	2.168	0.223
0.95	2.159	0.234
0.96	2.153	0.244
0.97	2.146	0.255
0.98	2.139	0.267
0.99	2.134	0.28
1.0	2.13	0.292
1.01	2.125	0.305
1.02	2.122	0.317
1.03	2.119	0.329
1.04	2.116	0.341
1.05	2.114	0.353
1.06	2.112	0.365
1.07	2.11	0.377
1.08	2.108	0.389
1.09	2.107	0.401
1.1	2.106	0.413
1.11	2.104	0.424
1.12	2.103	0.437
1.13	2.102	0.45
1.14	2.102	0.462
1.15	2.102	0.475
1.16	2.102	0.487
1.17	2.103	0.5
1.18	2.104	0.512
1.19	2.103	0.525
1.2	2.106	0.542
1.21	2.114	0.554
1.22	2.117	0.564
1.23	2.12	0.574
1.24	2.123	0.584
1.25	2.126	0.595
1.26	2.129	0.605
1.27	2.132	0.616
1.28	2.135	0.626
1.29	2.139	0.637
1.3	2.143	0.647
1.31	2.146	0.657
1.32	2.149	0.667
1.33	2.153	0.678
1.34	2.158	0.688
1.35	2.162	0.698
1.36	2.166	0.708
1.37	2.171	0.718
1.38	2.176	0.728
1.39	2.181	0.737
1.4	2.186	0.747
1.41	2.192	0.757
1.42	2.198	0.765
1.43	2.203	0.774
1.44	2.209	0.783
1.45	2.215	0.791
1.46	2.221	0.8
1.47	2.227	0.808
1.48	2.233	0.816
1.49	2.24	0.824
1.5	2.246	0.831
1.51	2.252	0.839
1.52	2.259	0.846
1.53	2.265	0.852
1.54	2.27	0.86
1.55	2.278	0.867
1.56	2.284	0.872
1.57	2.29	0.879
1.58	2.295	0.885
1.59	2.301	0.892
1.6	2.308	0.898
1.61	2.314	0.904
1.62	2.319	0.91
1.63	2.325	0.917
1.64	2.331	0.923
1.65	2.337	0.929
1.66	2.343	0.935
1.67	2.35	0.942
1.68	2.357	0.947
1.69	2.364	0.953
1.7	2.371	0.959
1.71	2.378	0.964
1.72	2.385	0.969
1.73	2.391	0.974
1.74	2.398	0.979
1.75	2.405	0.983
1.76	2.412	0.987
1.77	2.419	0.991
1.78	2.425	0.996
1.79	2.432	1.0
1.8	2.441	1.003
1.81	2.446	1.004
1.82	2.451	1.008
1.83	2.457	1.012
1.84	2.464	1.015
1.85	2.471	1.017
1.86	2.474	1.017
1.87	2.475	1.021
1.88	2.48	1.028
1.89	2.487	1.033
1.9	2.492	1.037
1.91	2.498	1.041
1.92	2.504	1.044
1.93	2.51	1.048
1.94	2.515	1.052
1.95	2.521	1.056
1.96	2.527	1.058
1.97	2.532	1.061
1.98	2.536	1.065
1.99	2.539	1.069
2.0	2.545	1.08
2.01	2.558	1.084
2.02	2.566	1.085
2.03	2.573	1.086
2.04	2.58	1.088
2.05	2.586	1.089
2.06	2.592	1.09
2.07	2.597	1.092
2.08	2.603	1.094
2.09	2.608	1.095
2.1	2.613	1.097
2.11	2.619	1.099
2.12	2.624	1.1
2.13	2.629	1.102
2.14	2.633	1.104
2.15	2.638	1.106
2.16	2.643	1.109
2.17	2.648	1.11
2.18	2.653	1.112
2.19	2.657	1.114
2.2	2.662	1.116
2.21	2.666	1.118
2.22	2.671	1.121
2.23	2.675	1.124
2.24	2.68	1.127
2.25	2.685	1.131
2.26	2.693	1.134
2.27	2.699	1.136
2.28	2.706	1.137
2.29	2.713	1.137
2.3	2.718	1.137
2.31	2.722	1.137
2.32	2.726	1.138
2.33	2.73	1.14
2.34	2.735	1.142
2.35	2.741	1.144
2.36	2.747	1.144
2.37	2.751	1.144
2.38	2.754	1.145
2.39	2.758	1.146
2.4	2.763	1.147
2.41	2.767	1.149
2.42	2.771	1.151
2.43	2.776	1.152
2.44	2.78	1.154
2.45	2.785	1.156
2.46	2.791	1.157
2.47	2.797	1.157
2.48	2.801	1.157
2.49	2.805	1.158
2.5	2.811	1.158
2.5063	2.813	1.156
2.5126	2.812	1.158
2.5189	2.816	1.16
2.5253	2.818	1.158
2.5316	2.821	1.161
2.5381	2.826	1.161
2.5445	2.825	1.161
2.551	2.831	1.161
2.5575	2.833	1.16
2.5641	2.834	1.161
2.5707	2.837	1.162
2.5773	2.837	1.16
2.584	2.839	1.166
2.5907	2.844	1.163
2.5974	2.843	1.166
2.6042	2.851	1.168
2.611	2.852	1.165
2.6178	2.852	1.169
2.6247	2.857	1.167
2.6316	2.857	1.168
2.6385	2.863	1.168
2.6455	2.864	1.169
2.6525	2.867	1.171
2.6596	2.869	1.17
2.6667	2.87	1.173
2.6738	2.874	1.174
2.681	2.879	1.176
2.6882	2.883	1.174
2.6954	2.885	1.175
2.7027	2.888	1.176
2.71	2.894	1.176
2.7174	2.894	1.173
2.7248	2.895	1.176
2.7322	2.898	1.175
2.7397	2.9	1.176
2.7473	2.906	1.176
2.7548	2.905	1.175
2.7624	2.909	1.18
2.7701	2.913	1.176
2.7778	2.913	1.176
2.7855	2.917	1.179
2.7933	2.921	1.179
2.8011	2.923	1.177
2.809	2.922	1.178
2.8169	2.924	1.183
2.8249	2.93	1.185
2.8329	2.933	1.194
2.8409	2.936	1.185
2.849	2.941	1.184
2.8571	2.943	1.183
2.8653	2.945	1.185
2.8736	2.947	1.185
2.8918	2.952	1.187
2.8902	2.955	1.187
2.8986	2.961	1.186
2.907	2.96	1.182
2.9155	2.96	1.185
2.924	2.965	1.186
2.9326	2.967	1.186
2.9412	2.971	1.187
2.9499	2.971	1.185
2.9586	2.973	1.18
2.9674	2.979	1.189
2.9762	2.982	1.19
2.9851	2.986	1.189
2.994	2.988	1.19
3.003	2.993	1.188
3.012	2.992	1.187
3.0211	2.993	1.19
3.0303	2.998	1.193
3.0395	3.003	1.191
3.0488	3.004	1.19
3.0581	3.007	1.19
3.0675	3.007	1.191
3.0769	3.013	1.195
3.0864	3.016	1.192
3.096	3.018	1.193
3.1056	3.021	1.193
3.1153	3.024	1.191
3.125	3.025	1.193
3.1348	3.029	1.194
3.1447	3.033	1.195
3.1546	3.037	1.194
3.1646	3.039	1.191
3.1746	3.037	1.192
3.1847	3.04	1.196
3.1949	3.044	1.197
3.2051	3.046	1.197
3.2154	3.05	1.199
3.2258	3.055	1.198
3.2362	3.06	1.198
3.2468	3.062	1.194
3.2573	3.063	1.195
3.268	3.065	1.196
3.2787	3.066	1.195
3.2895	3.067	1.199
3.3003	3.075	1.199
3.3113	3.074	1.2
3.3223	3.08	1.203
3.3333	3.085	1.199
3.3445	3.084	1.198
3.3557	3.09	1.202
3.367	3.093	1.198
3.3784	3.094	1.201
3.3898	3.097	1.201
3.4014	3.101	1.201
3.413	3.101	1.201
3.4247	3.107	1.205
3.4364	3.113	1.199
3.4483	3.112	1.197
3.4602	3.114	1.2
3.4722	3.117	1.2
3.4843	3.118	1.201
3.4965	3.123	1.202
3.5088	3.125	1.202
3.5211	3.127	1.201
3.5336	3.129	1.201
3.5461	3.132	1.202
3.5587	3.135	1.201
3.5714	3.137	1.2
3.5842	3.137	1.202
3.5971	3.139	1.206
3.6101	3.148	1.208
3.6232	3.152	1.203
3.6364	3.151	1.203
3.6496	3.153	1.204
3.663	3.153	1.205
3.6765	3.159	1.209
3.69	3.161	1.206
3.7037	3.163	1.21
3.7175	3.168	1.21
3.7313	3.171	1.21
3.7453	3.173	1.207
3.7594	3.175	1.212
3.7736	3.18	1.213
3.7879	3.182	1.213
3.8023	3.188	1.215
3.8168	3.193	1.211
3.8314	3.193	1.209
3.8462	3.194	1.211
3.861	3.196	1.213
3.876	3.2	1.219
3.8911	3.207	1.215
3.9063	3.208	1.212
3.9216	3.211	1.212
3.937	3.213	1.212
3.9526	3.216	1.216
3.9683	3.219	1.215
3.9841	3.22	1.214
4.0	3.221	1.215
4.0161	3.226	1.219
4.0323	3.232	1.219
4.0486	3.233	1.219
4.065	3.238	1.22
4.0816	3.239	1.219
4.0984	3.245	1.221
4.1152	3.247	1.218
4.1322	3.249	1.221
4.1494	3.253	1.22
4.1667	3.255	1.219
4.1841	3.256	1.219
4.2373	3.269	1.223
4.2017	3.26	1.224
4.2194	3.268	1.225
4.2553	3.273	1.226
4.2735	3.279	1.222
4.2918	3.28	1.223
4.3103	3.285	1.222
4.329	3.285	1.221
4.3478	3.287	1.224
4.3668	3.292	1.223
4.386	3.293	1.22
4.4053	3.295	1.224
4.4248	3.299	1.223
4.4444	3.3	1.225
4.4643	3.306	1.227
4.4843	3.308	1.224
4.5045	3.308	1.225
4.5249	3.314	1.228
4.5455	3.317	1.227
4.5662	3.318	1.229
4.5872	3.324	1.231
4.6083	3.33	1.229
4.6296	3.33	1.228
4.6512	3.333	1.23
4.6729	3.337	1.229
4.6948	3.338	1.231
4.717	3.344	1.232
4.7393	3.345	1.23
4.7619	3.346	1.233
4.7847	3.351	1.236
4.8077	3.357	1.236
4.8309	3.36	1.236
4.8544	3.366	1.235
4.878	3.369	1.235
4.902	3.373	1.234
4.9261	3.375	1.231
4.9505	3.377	1.232
4.9751	3.382	1.234
5.0	3.388	1.231
5.0251	3.386	1.226
5.0505	3.386	1.227
5.0761	3.387	1.228
5.102	3.388	1.232
5.1282	3.393	1.234
5.1546	3.395	1.234
5.1813	3.397	1.234
5.2083	3.401	1.236
5.2356	3.404	1.237
5.2632	3.409	1.238
5.291	3.41	1.236
5.3191	3.411	1.239
5.3476	3.415	1.24
5.3763	3.42	1.24
5.4054	3.419	1.239
5.4348	3.422	1.243
5.4645	3.426	1.244
5.4945	3.43	1.244
5.5249	3.432	1.245
5.5556	3.435	1.246
5.5866	3.44	1.247
5.618	3.441	1.247
5.6497	3.443	1.25
5.6818	3.447	1.251
5.7143	3.452	1.253
5.7471	3.456	1.254
5.7803	3.459	1.252
5.814	3.459	1.253
5.848	3.463	1.255
5.8824	3.466	1.259
5.9172	3.471	1.256
5.9524	3.471	1.258
5.988	3.476	1.26
6.0241	3.479	1.257
6.0606	3.479	1.261
6.0976	3.483	1.261
6.135	3.487	1.263
6.1728	3.488	1.263
6.2112	3.491	1.267
6.25	3.496	1.27
6.2893	3.5	1.269
6.3291	3.503	1.27
6.3694	3.506	1.268
6.4103	3.505	1.27
6.4516	3.507	1.273
6.4935	3.512	1.278
6.5359	3.52	1.276
6.5789	3.518	1.277
6.6225	3.524	1.279
6.6667	3.524	1.279
6.7114	3.528	1.282
6.7568	3.53	1.28
6.8027	3.532	1.282
6.8493	3.532	1.284
6.8966	3.536	1.29
6.9444	3.541	1.289
6.993	3.543	1.29
7.0423	3.544	1.291
7.0922	3.548	1.293
7.1429	3.549	1.294
7.1942	3.55	1.298
7.2464	3.552	1.301
7.2993	3.558	1.304
7.3529	3.559	1.303
7.4074	3.563	1.305
7.4627	3.563	1.307
7.5188	3.567	1.307
7.5758	3.565	1.309
7.6336	3.567	1.312
7.6923	3.568	1.315
7.7519	3.569	1.319
7.8125	3.572	1.324
7.874	3.574	1.324
7.9365	3.574	1.327
8.0	3.574	1.331
8.0645	3.577	1.338
8.1301	3.582	1.338
8.1967	3.58	1.34
8.2645	3.579	1.346
8.3333	3.583	1.352
8.4034	3.585	1.354
8.4746	3.585	1.356
8.547	3.582	1.363
8.6207	3.583	1.37
8.6957	3.587	1.374
8.7719	3.59	1.378
8.8496	3.587	1.381
8.9286	3.588	1.392
9.009	3.59	1.397
9.0909	3.594	1.403
9.1743	3.592	1.405
9.2593	3.589	1.415
9.3458	3.592	1.424
9.434	3.593	1.431
9.5238	3.592	1.442
9.6154	3.601	1.451
9.7087	3.603	1.453
9.8039	3.603	1.46
9.901	3.601	1.464
10.0	3.601	1.479
10.101	3.606	1.485
10.2041	3.606	1.493
10.3093	3.607	1.502
10.4167	3.609	1.51
10.5263	3.609	1.518
10.6383	3.612	1.525
10.7527	3.609	1.532
10.8696	3.606	1.542
10.989	3.604	1.554
11.1111	3.605	1.563
11.236	3.599	1.573
11.3636	3.598	1.586
11.4943	3.595	1.595
11.6279	3.587	1.609
11.7647	3.582	1.627
11.9048	3.577	1.641
12.0482	3.571	1.66
12.1951	3.569	1.677
12.3457	3.561	1.693
12.5	3.554	1.715
12.6582	3.546	1.735
12.8205	3.533	1.76
12.987	3.522	1.787
13.1579	3.509	1.821
13.3333	3.499	1.859
13.5135	3.491	1.903
13.6986	3.489	1.947
13.8889	3.491	1.991
14.0845	3.493	2.033
14.2857	3.492	2.077
14.4928	3.492	2.129
14.7059	3.497	2.176
14.9254	3.494	2.228
15.1515	3.492	2.284
15.3846	3.484	2.348
15.625	3.468	2.427
15.873	3.47	2.53
16.129	3.474	2.626
16.3934	3.454	2.761
16.6667	3.455	2.963
16.9492	3.514	3.249
17.2414	3.755	3.642
17.5439	4.372	3.907
17.8571	5.091	3.604
18.1818	5.314	2.966
18.5185	5.131	2.54
18.8679	4.902	2.383
19.2308	4.731	2.348
19.6078	4.613	2.365
20.0	4.524	2.402
20.4082	4.456	2.46
20.8333	4.413	2.535
21.2766	4.391	2.614
21.7391	4.38	2.694
22.2222	4.373	2.776
22.7273	4.371	2.867
23.2558	4.372	2.959
23.8095	4.362	3.078
24.3902	4.361	3.224
25.0	4.365	3.413
25.641	4.409	3.655
26.3158	4.484	3.958
27.027	4.668	4.392
27.7778	5.167	4.94
28.5714	6.308	5.21
29.4118	7.376	4.29
30.303	7.272	3.268
31.25	6.871	2.855
32.2581	6.567	2.776
33.3333	6.418	2.807
34.4828	6.342	2.858
35.7143	6.329	2.95
37.037	6.381	3.017
38.4615	6.416	3.058
40.0	6.485	3.185
41.6667	6.677	3.226
43.4783	6.738	3.253
45.4545	6.933	3.357
47.619	7.124	3.331
50.0	7.341	3.4
52.6316	7.679	3.351
55.5556	7.943	3.209

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: —

Fe₃O₄ (Iron(II,III) oxide, Magnetite): all datasets

Querry 1985: n,k 0.21–55.6 µm n,k 0.21–55.56 µm default

About Fe3O4 (Iron(II,III) oxide, Magnetite)

Iron(II,III) oxide (Fe₃O₄), also known as magnetite, is a black, magnetic mineral with multiple applications, including in the field of optics. It possesses unique magnetic properties that make it ideal for magneto-optical recording and sensing technologies. The material's interaction with light can be modified by external magnetic fields, providing a platform for tunable optical devices. Additionally, Fe₃O₄ nanoparticles have garnered attention for use in photothermal therapy, owing to their capacity to absorb near-infrared radiation and convert it to heat. This compound combines magnetic and optical functionalities, offering a unique palette of features for contemporary optical research and applications. Minerals: Magnetite, Lodestone (naturally magnetized magnetite).

More about Fe3O4 (Iron(II,III) oxide, Magnetite) →

Provenance

Version: 1 (snapshot c5c2f18)
Source page: refractiveindex.info
Original file: database/data/main/Fe3O4/nk/Querry.yml
ID: ds_bf02e23aace1
API: /v1/datasets/ds_bf02e23aace1

Plot