Optical constants

Refractive index of Lu₂O₃ (Lutetium sesquioxide)

Yao et al. 2022: n 0.210–1.69 µm, k 0.210–0.224 µm

Data: tabulated nk
Range: 0.21–1.69 µm
Points: 1067
State: crystalline
Licence: CC0-1.0

Axis Log x Log y

Click the plot to set the calculator wavelength.

At one wavelength

Refractive index n: 1.93173
Extinction coefficient k: 0

Permittivity ε₁: 3.73158
Permittivity ε₂: 0

Absorption coefficient α: 0 cm⁻¹
Penetration depth δ = λ/(2πk): — nm

Abbe number V_d: —
Chromatic dispersion dn/dλ: -0.123 µm⁻¹

Group index n_g: 2.004
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

# Lu2O3 (Lutetium sesquioxide): Yao et al. 2022: n 0.210–1.69 µm, k 0.210–0.224 µm
lu2o3 = ls.fetch_refractiveindex("main", "Lu2O3", "Yao", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(lu2o3.range_nm)  # (210, 1690) nm
eps = lu2o3.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_9503e7ef0592/lightsmith"
lu2o3 = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(lu2o3.source)  # citation and provenance travel with the data

Any dataset here, as the library's Tabulated material (lu2o3/yao-2022).

# ... load lu2o3 as above, then:
sim = ls.Simulation(
    particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=lu2o3)],
    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

Single crystal

References

C. Yao, W. Shen, X. Hu, C. Hu. Optical properties of large-size and damage-free polished Lu₂O₃ single crystal covering the ultraviolet-visible-and near-infrared (UV–VIS–NIR) spectral region. J. Alloys Compd. 897, 162726 (2022) (See supplementary materials)

doi:10.1016/j.jallcom.2021.162726 Optical properties of large-size and damage-free polished Lu2O3 single crystal covering the ultraviolet-visible-and near-infrared (UV–VIS–NIR) spectral region, Journal of Alloys and Compounds (2022)

Cite

Chengyuan Yao, Wanfu Shen, Xiaodong Hu and Chunguang Hu. Optical properties of large-size and damage-free polished Lu2O3 single crystal covering the ultraviolet-visible-and near-infrared (UV–VIS–NIR) spectral region. Journal of Alloys and Compounds, 897, 162726 (2022), doi:10.1016/j.jallcom.2021.162726; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

1067 rows as published

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

Lu2O3 (Lutetium sesquioxide), Yao et al. 2022: n 0.210–1.69 µm, k 0.210–0.224 µm: n and k versus wavelength
λ (µm)	n	k
0.21	2.318018	0.240511
0.211	2.331045	0.255348
0.212	2.351125	0.268621
0.213	2.379481	0.277232
0.214	2.415787	0.276351
0.215	2.4562	0.26032
0.216	2.492168	0.225962
0.217	2.513234	0.17698
0.218	2.513802	0.123926
0.219	2.496751	0.077679
0.22	2.469766	0.043574
0.221	2.439908	0.021455
0.222	2.411427	0.008667
0.223	2.386205	0.002312
0.224	2.364841	0.000106
0.225	2.347697	0.0
0.226	2.333462	0.0
0.227	2.320999	0.0
0.228	2.309825	0.0
0.229	2.299647	0.0
0.23	2.290273	0.0
0.231	2.281564	0.0
0.232	2.273416	0.0
0.233	2.265752	0.0
0.234	2.25851	0.0
0.235	2.251639	0.0
0.236	2.2451	0.0
0.237	2.238859	0.0
0.238	2.232888	0.0
0.239	2.227162	0.0
0.24	2.221661	0.0
0.241	2.216367	0.0
0.242	2.211265	0.0
0.243	2.206341	0.0
0.244	2.201583	0.0
0.245	2.19698	0.0
0.246	2.192523	0.0
0.247	2.188202	0.0
0.248	2.184011	0.0
0.249	2.179941	0.0
0.25	2.175987	0.0
0.251	2.172143	0.0
0.252	2.168403	0.0
0.253	2.164762	0.0
0.254	2.161215	0.0
0.255	2.157758	0.0
0.256	2.154388	0.0
0.257	2.151101	0.0
0.258	2.147892	0.0
0.259	2.14476	0.0
0.26	2.1417	0.0
0.261	2.13871	0.0
0.262	2.135788	0.0
0.263	2.13293	0.0
0.264	2.130135	0.0
0.265	2.1274	0.0
0.266	2.124724	0.0
0.267	2.122103	0.0
0.268	2.119537	0.0
0.269	2.117023	0.0
0.27	2.11456	0.0
0.271	2.112146	0.0
0.272	2.10978	0.0
0.273	2.10746	0.0
0.274	2.105184	0.0
0.275	2.102952	0.0
0.276	2.100761	0.0
0.277	2.098612	0.0
0.278	2.096502	0.0
0.279	2.094431	0.0
0.28	2.092397	0.0
0.281	2.0904	0.0
0.282	2.088438	0.0
0.283	2.08651	0.0
0.284	2.084616	0.0
0.285	2.082754	0.0
0.286	2.080925	0.0
0.287	2.079126	0.0
0.288	2.077357	0.0
0.289	2.075618	0.0
0.29	2.073908	0.0
0.291	2.072225	0.0
0.292	2.07057	0.0
0.293	2.068941	0.0
0.294	2.067338	0.0
0.295	2.065761	0.0
0.296	2.064208	0.0
0.297	2.06268	0.0
0.298	2.061175	0.0
0.299	2.059693	0.0
0.3	2.058234	0.0
0.301	2.056797	0.0
0.302	2.055381	0.0
0.303	2.053986	0.0
0.304	2.052612	0.0
0.305	2.051259	0.0
0.306	2.049925	0.0
0.307	2.04861	0.0
0.308	2.047314	0.0
0.309	2.046037	0.0
0.31	2.044778	0.0
0.311	2.043536	0.0
0.312	2.042312	0.0
0.313	2.041105	0.0
0.314	2.039915	0.0
0.315	2.038741	0.0
0.316	2.037583	0.0
0.317	2.03644	0.0
0.318	2.035314	0.0
0.319	2.034202	0.0
0.32	2.033105	0.0
0.321	2.032022	0.0
0.322	2.030954	0.0
0.323	2.0299	0.0
0.324	2.028859	0.0
0.325	2.027832	0.0
0.326	2.026818	0.0
0.327	2.025817	0.0
0.328	2.024829	0.0
0.329	2.023853	0.0
0.33	2.02289	0.0
0.331	2.021938	0.0
0.332	2.020998	0.0
0.333	2.020071	0.0
0.334	2.019154	0.0
0.335	2.018248	0.0
0.336	2.017354	0.0
0.337	2.01647	0.0
0.338	2.015597	0.0
0.339	2.014735	0.0
0.34	2.013882	0.0
0.341	2.01304	0.0
0.342	2.012208	0.0
0.343	2.011385	0.0
0.344	2.010573	0.0
0.345	2.009769	0.0
0.346	2.008975	0.0
0.347	2.00819	0.0
0.348	2.007414	0.0
0.349	2.006646	0.0
0.35	2.005888	0.0
0.351	2.005138	0.0
0.352	2.004396	0.0
0.353	2.003663	0.0
0.354	2.002938	0.0
0.355	2.00222	0.0
0.356	2.001511	0.0
0.357	2.000809	0.0
0.358	2.000115	0.0
0.359	1.999429	0.0
0.36	1.99875	0.0
0.361	1.998078	0.0
0.362	1.997414	0.0
0.363	1.996757	0.0
0.364	1.996106	0.0
0.365	1.995463	0.0
0.366	1.994826	0.0
0.367	1.994196	0.0
0.368	1.993572	0.0
0.369	1.992955	0.0
0.37	1.992344	0.0
0.371	1.99174	0.0
0.372	1.991142	0.0
0.373	1.99055	0.0
0.374	1.989964	0.0
0.375	1.989383	0.0
0.376	1.988809	0.0
0.377	1.98824	0.0
0.378	1.987678	0.0
0.379	1.98712	0.0
0.38	1.986569	0.0
0.381	1.986022	0.0
0.382	1.985481	0.0
0.383	1.984946	0.0
0.384	1.984415	0.0
0.385	1.98389	0.0
0.386	1.98337	0.0
0.387	1.982854	0.0
0.388	1.982344	0.0
0.389	1.981839	0.0
0.39	1.981338	0.0
0.391	1.980843	0.0
0.392	1.980351	0.0
0.393	1.979865	0.0
0.394	1.979383	0.0
0.395	1.978906	0.0
0.396	1.978433	0.0
0.397	1.977964	0.0
0.398	1.9775	0.0
0.399	1.97704	0.0
0.4	1.976584	0.0
0.401	1.976132	0.0
0.402	1.975685	0.0
0.403	1.975241	0.0
0.404	1.974802	0.0
0.405	1.974366	0.0
0.406	1.973935	0.0
0.407	1.973507	0.0
0.408	1.973083	0.0
0.409	1.972663	0.0
0.41	1.972246	0.0
0.411	1.971833	0.0
0.412	1.971424	0.0
0.413	1.971019	0.0
0.414	1.970616	0.0
0.415	1.970218	0.0
0.416	1.969823	0.0
0.417	1.969431	0.0
0.418	1.969043	0.0
0.419	1.968658	0.0
0.42	1.968276	0.0
0.421	1.967897	0.0
0.422	1.967522	0.0
0.423	1.96715	0.0
0.424	1.966781	0.0
0.425	1.966415	0.0
0.426	1.966052	0.0
0.427	1.965692	0.0
0.428	1.965336	0.0
0.429	1.964982	0.0
0.43	1.964631	0.0
0.431	1.964283	0.0
0.432	1.963938	0.0
0.433	1.963595	0.0
0.434	1.963256	0.0
0.435	1.962919	0.0
0.436	1.962585	0.0
0.437	1.962253	0.0
0.438	1.961924	0.0
0.439	1.961598	0.0
0.44	1.961275	0.0
0.441	1.960954	0.0
0.442	1.960635	0.0
0.443	1.96032	0.0
0.444	1.960006	0.0
0.445	1.959695	0.0
0.446	1.959387	0.0
0.447	1.959081	0.0
0.448	1.958777	0.0
0.449	1.958476	0.0
0.45	1.958177	0.0
0.451	1.95788	0.0
0.452	1.957586	0.0
0.453	1.957294	0.0
0.454	1.957004	0.0
0.455	1.956716	0.0
0.456	1.95643	0.0
0.457	1.956147	0.0
0.458	1.955866	0.0
0.459	1.955587	0.0
0.46	1.95531	0.0
0.461	1.955035	0.0
0.462	1.954762	0.0
0.463	1.954491	0.0
0.464	1.954222	0.0
0.465	1.953956	0.0
0.466	1.953691	0.0
0.467	1.953428	0.0
0.468	1.953167	0.0
0.469	1.952908	0.0
0.47	1.952651	0.0
0.471	1.952395	0.0
0.472	1.952142	0.0
0.473	1.95189	0.0
0.474	1.95164	0.0
0.475	1.951392	0.0
0.476	1.951146	0.0
0.477	1.950902	0.0
0.478	1.950659	0.0
0.479	1.950418	0.0
0.48	1.950179	0.0
0.481	1.949941	0.0
0.482	1.949705	0.0
0.483	1.949471	0.0
0.484	1.949238	0.0
0.485	1.949007	0.0
0.486	1.948778	0.0
0.487	1.94855	0.0
0.488	1.948324	0.0
0.489	1.948099	0.0
0.49	1.947876	0.0
0.491	1.947655	0.0
0.492	1.947435	0.0
0.493	1.947216	0.0
0.494	1.946999	0.0
0.495	1.946784	0.0
0.496	1.946569	0.0
0.497	1.946357	0.0
0.498	1.946146	0.0
0.499	1.945936	0.0
0.5	1.945727	0.0
0.501	1.94552	0.0
0.502	1.945315	0.0
0.503	1.945111	0.0
0.504	1.944908	0.0
0.505	1.944706	0.0
0.506	1.944506	0.0
0.507	1.944307	0.0
0.508	1.94411	0.0
0.509	1.943913	0.0
0.51	1.943718	0.0
0.511	1.943524	0.0
0.512	1.943332	0.0
0.513	1.943141	0.0
0.514	1.942951	0.0
0.515	1.942762	0.0
0.516	1.942575	0.0
0.517	1.942388	0.0
0.518	1.942203	0.0
0.519	1.942019	0.0
0.52	1.941836	0.0
0.521	1.941655	0.0
0.522	1.941474	0.0
0.523	1.941295	0.0
0.524	1.941117	0.0
0.525	1.94094	0.0
0.526	1.940764	0.0
0.527	1.940589	0.0
0.528	1.940415	0.0
0.529	1.940243	0.0
0.53	1.940071	0.0
0.531	1.9399	0.0
0.532	1.939731	0.0
0.533	1.939562	0.0
0.534	1.939395	0.0
0.535	1.939229	0.0
0.536	1.939063	0.0
0.537	1.938899	0.0
0.538	1.938736	0.0
0.539	1.938573	0.0
0.54	1.938412	0.0
0.541	1.938252	0.0
0.542	1.938092	0.0
0.543	1.937934	0.0
0.544	1.937776	0.0
0.545	1.93762	0.0
0.546	1.937464	0.0
0.547	1.937309	0.0
0.548	1.937156	0.0
0.549	1.937003	0.0
0.55	1.936851	0.0
0.551	1.9367	0.0
0.552	1.93655	0.0
0.553	1.9364	0.0
0.554	1.936252	0.0
0.555	1.936104	0.0
0.556	1.935958	0.0
0.557	1.935812	0.0
0.558	1.935667	0.0
0.559	1.935523	0.0
0.56	1.93538	0.0
0.561	1.935237	0.0
0.562	1.935095	0.0
0.563	1.934955	0.0
0.564	1.934815	0.0
0.565	1.934675	0.0
0.566	1.934537	0.0
0.567	1.934399	0.0
0.568	1.934262	0.0
0.569	1.934126	0.0
0.57	1.933991	0.0
0.571	1.933856	0.0
0.572	1.933723	0.0
0.573	1.93359	0.0
0.574	1.933457	0.0
0.575	1.933326	0.0
0.576	1.933195	0.0
0.577	1.933065	0.0
0.578	1.932935	0.0
0.579	1.932807	0.0
0.58	1.932679	0.0
0.581	1.932552	0.0
0.582	1.932425	0.0
0.583	1.932299	0.0
0.584	1.932174	0.0
0.585	1.93205	0.0
0.586	1.931926	0.0
0.587	1.931803	0.0
0.588	1.93168	0.0
0.589	1.931559	0.0
0.59	1.931437	0.0
0.591	1.931317	0.0
0.592	1.931197	0.0
0.593	1.931078	0.0
0.594	1.930959	0.0
0.595	1.930842	0.0
0.596	1.930724	0.0
0.597	1.930608	0.0
0.598	1.930492	0.0
0.599	1.930376	0.0
0.6	1.930261	0.0
0.601	1.930147	0.0
0.602	1.930034	0.0
0.603	1.929921	0.0
0.604	1.929808	0.0
0.605	1.929696	0.0
0.606	1.929585	0.0
0.607	1.929475	0.0
0.608	1.929364	0.0
0.609	1.929255	0.0
0.61	1.929146	0.0
0.611	1.929038	0.0
0.612	1.92893	0.0
0.613	1.928823	0.0
0.614	1.928716	0.0
0.615	1.92861	0.0
0.616	1.928504	0.0
0.617	1.928399	0.0
0.618	1.928295	0.0
0.619	1.92819	0.0
0.62	1.928087	0.0
0.621	1.927984	0.0
0.622	1.927882	0.0
0.623	1.92778	0.0
0.624	1.927678	0.0
0.625	1.927577	0.0
0.626	1.927477	0.0
0.627	1.927377	0.0
0.628	1.927278	0.0
0.629	1.927179	0.0
0.63	1.92708	0.0
0.631	1.926982	0.0
0.632	1.926885	0.0
0.633	1.926788	0.0
0.634	1.926692	0.0
0.635	1.926595	0.0
0.636	1.9265	0.0
0.637	1.926405	0.0
0.638	1.92631	0.0
0.639	1.926216	0.0
0.64	1.926122	0.0
0.641	1.926029	0.0
0.642	1.925936	0.0
0.643	1.925844	0.0
0.644	1.925752	0.0
0.645	1.925661	0.0
0.646	1.92557	0.0
0.647	1.925479	0.0
0.648	1.925389	0.0
0.649	1.925299	0.0
0.65	1.92521	0.0
0.651	1.925121	0.0
0.652	1.925033	0.0
0.653	1.924945	0.0
0.654	1.924857	0.0
0.655	1.92477	0.0
0.656	1.924683	0.0
0.657	1.924597	0.0
0.658	1.924511	0.0
0.659	1.924425	0.0
0.66	1.92434	0.0
0.661	1.924255	0.0
0.662	1.924171	0.0
0.663	1.924087	0.0
0.664	1.924003	0.0
0.665	1.92392	0.0
0.666	1.923837	0.0
0.667	1.923755	0.0
0.668	1.923673	0.0
0.669	1.923591	0.0
0.67	1.92351	0.0
0.671	1.923429	0.0
0.672	1.923348	0.0
0.673	1.923268	0.0
0.674	1.923188	0.0
0.675	1.923109	0.0
0.676	1.92303	0.0
0.677	1.922951	0.0
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1.545	1.899037	0.0
1.5475	1.899006	0.0
1.55	1.898976	0.0
1.5525	1.898945	0.0
1.555	1.898914	0.0
1.5575	1.898884	0.0
1.56	1.898853	0.0
1.5625	1.898823	0.0
1.565	1.898792	0.0
1.5675	1.898762	0.0
1.57	1.898731	0.0
1.5725	1.898701	0.0
1.575	1.898671	0.0
1.5775	1.89864	0.0
1.58	1.89861	0.0
1.5825	1.89858	0.0
1.585	1.89855	0.0
1.5875	1.89852	0.0
1.59	1.898489	0.0
1.5925	1.898459	0.0
1.595	1.89843	0.0
1.5975	1.898399	0.0
1.6	1.89837	0.0
1.6025	1.89834	0.0
1.605	1.89831	0.0
1.6075	1.89828	0.0
1.61	1.89825	0.0
1.6125	1.89822	0.0
1.615	1.898191	0.0
1.6175	1.898161	0.0
1.62	1.898131	0.0
1.6225	1.898102	0.0
1.625	1.898072	0.0
1.6275	1.898043	0.0
1.63	1.898013	0.0
1.6325	1.897984	0.0
1.635	1.897954	0.0
1.6375	1.897925	0.0
1.64	1.897895	0.0
1.6425	1.897866	0.0
1.645	1.897837	0.0
1.6475	1.897807	0.0
1.65	1.897778	0.0
1.6525	1.897749	0.0
1.655	1.89772	0.0
1.6575	1.89769	0.0
1.66	1.897661	0.0
1.6625	1.897632	0.0
1.665	1.897603	0.0
1.6675	1.897574	0.0
1.67	1.897545	0.0
1.6725	1.897516	0.0
1.675	1.897487	0.0
1.6775	1.897458	0.0
1.68	1.897429	0.0
1.6825	1.8974	0.0
1.685	1.897371	0.0
1.6875	1.897342	0.0
1.69	1.897313	0.0

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: —

Lu₂O₃ (Lutetium sesquioxide): all datasets

About Lu2O3 (Lutetium sesquioxide)

Lutetium sesquioxide (Lu₂O₃) is a white, crystalline compound of lutetium. This material is characterized by its high melting point and stability. In the realm of optics, Lu₂O₃ is known for its excellent scintillation properties, making it suitable for radiation detection applications. It is often used as a scintillating crystal in detectors, and its high atomic number aids in the efficient detection of gamma rays. Moreover, its transparency in the infrared region can be harnessed in specialized optical applications.

More about Lu2O3 (Lutetium sesquioxide) →

Provenance

Version: 1 (snapshot c5c2f18)
Source page: refractiveindex.info
Original file: database/data/main/Lu2O3/nk/Yao.yml
ID: ds_9503e7ef0592
API: /v1/datasets/ds_9503e7ef0592

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