Optical constants

Refractive index of Lu₂O₃ (Lutetium sesquioxide)

Medenbach et al. 2001: n 0.435–0.644 µm

Data: formula 2
Range: 0.435–0.644 µm
Licence: CC0-1.0

Axis Log x Log y

Click the plot to set the calculator wavelength.

At one wavelength

Refractive index n: 1.93545
Extinction coefficient k: 0

Permittivity ε₁: 3.74595
Permittivity ε₂: 0

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

Abbe number V_d: —
Chromatic dispersion dn/dλ: -0.126741 µm⁻¹

Group index n_g: 2.00992
Group velocity dispersion: 245.767 fs²/mm

Dispersion parameter D: -1340.79 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): Medenbach et al. 2001: n 0.435–0.644 µm
lu2o3 = ls.fetch_refractiveindex("main", "Lu2O3", "Medenbach", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(lu2o3.range_nm)  # (435, 644) 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_eb58ce4d51a1/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/medenbach-2001).

# ... 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=435, stop_nm=644, 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"]).

import json, urllib.request
import lightsmith as ls

url = "https://materials.lightsmith.dev/v1/datasets/ds_eb58ce4d51a1/lightsmith?model=drude_lorentz"
lu2o3_dl = ls.DrudeLorentz.model_validate(json.load(urllib.request.urlopen(url)))

A dispersive Drude–Lorentz model for time-domain solvers.

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.

Dispersion formula

Sellmeier (C in µm²) (formula 2), λ in µm

n^{2} - 1 = \frac{2.609 λ^{2}}{λ^{2} - 0.01722}

Valid from 0.435 to 0.644 µm.

Coefficients as stored

C_i	Value
C1	0.0
C2	2.609
C3	0.01722

References

O. Medenbach, D. Dettmar, R. D. Shannon, R. X. Fischer, W. M. Yen. Refractive index and optical dispersion of rare earth oxides using a small-prism technique. J. Opt. A: Pure Appl. Opt. 3, 174-177, 2001

doi:10.1088/1464-4258/3/3/303 Refractive index and optical dispersion of rare earth oxides using a small-prism technique, Journal of Optics A: Pure and Applied Optics (2001)

Cite

O Medenbach, D Dettmar, R D Shannon, R X Fischer and W M Yen. Refractive index and optical dispersion of rare earth oxides using a small-prism technique. Journal of Optics A: Pure and Applied Optics, 3, 174-177 (2001), doi:10.1088/1464-4258/3/3/303; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

Computed on 400 wavelengths, the same grid as the API and the library

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

Lu2O3 (Lutetium sesquioxide), Medenbach et al. 2001: n 0.435–0.644 µm: n and k versus wavelength
λ (µm)	n
0.435	1.967281
0.435428	1.967138
0.435856	1.966995
0.436285	1.966852
0.436714	1.966709
0.437144	1.966567
0.437574	1.966425
0.438005	1.966284
0.438436	1.966143
0.438867	1.966002
0.439299	1.965861
0.439731	1.965721
0.440163	1.965581
0.440596	1.965442
0.44103	1.965302
0.441464	1.965163
0.441898	1.965025
0.442333	1.964886
0.442768	1.964748
0.443204	1.964611
0.44364	1.964473
0.444076	1.964336
0.444513	1.9642
0.44495	1.964063
0.445388	1.963927
0.445826	1.963791
0.446265	1.963656
0.446704	1.96352
0.447143	1.963385
0.447583	1.963251
0.448024	1.963117
0.448465	1.962983
0.448906	1.962849
0.449347	1.962715
0.449789	1.962582
0.450232	1.96245
0.450675	1.962317
0.451118	1.962185
0.451562	1.962053
0.452006	1.961921
0.452451	1.96179
0.452896	1.961659
0.453342	1.961529
0.453788	1.961398
0.454234	1.961268
0.454681	1.961138
0.455128	1.961009
0.455576	1.960879
0.456024	1.960751
0.456473	1.960622
0.456922	1.960494
0.457372	1.960365
0.457822	1.960238
0.458272	1.96011
0.458723	1.959983
0.459174	1.959856
0.459626	1.959729
0.460078	1.959603
0.460531	1.959477
0.460984	1.959351
0.461437	1.959226
0.461891	1.9591
0.462346	1.958976
0.462801	1.958851
0.463256	1.958727
0.463712	1.958602
0.464168	1.958479
0.464625	1.958355
0.465082	1.958232
0.465539	1.958109
0.465997	1.957986
0.466456	1.957864
0.466915	1.957742
0.467374	1.95762
0.467834	1.957498
0.468294	1.957377
0.468755	1.957256
0.469216	1.957135
0.469678	1.957014
0.47014	1.956894
0.470602	1.956774
0.471065	1.956654
0.471529	1.956535
0.471993	1.956416
0.472457	1.956297
0.472922	1.956178
0.473387	1.95606
0.473853	1.955942
0.474319	1.955824
0.474786	1.955706
0.475253	1.955589
0.47572	1.955472
0.476188	1.955355
0.476657	1.955238
0.477126	1.955122
0.477595	1.955006
0.478065	1.95489
0.478535	1.954775
0.479006	1.954659
0.479477	1.954544
0.479949	1.95443
0.480421	1.954315
0.480894	1.954201
0.481367	1.954087
0.481841	1.953973
0.482315	1.95386
0.482789	1.953746
0.483264	1.953633
0.48374	1.953521
0.484216	1.953408
0.484692	1.953296
0.485169	1.953184
0.485646	1.953072
0.486124	1.952961
0.486602	1.95285
0.487081	1.952739
0.48756	1.952628
0.48804	1.952517
0.48852	1.952407
0.489	1.952297
0.489482	1.952187
0.489963	1.952078
0.490445	1.951968
0.490928	1.951859
0.491411	1.951751
0.491894	1.951642
0.492378	1.951534
0.492862	1.951426
0.493347	1.951318
0.493833	1.95121
0.494319	1.951103
0.494805	1.950996
0.495292	1.950889
0.495779	1.950782
0.496267	1.950676
0.496755	1.95057
0.497244	1.950464
0.497733	1.950358
0.498223	1.950252
0.498713	1.950147
0.499203	1.950042
0.499695	1.949937
0.500186	1.949833
0.500678	1.949728
0.501171	1.949624
0.501664	1.94952
0.502157	1.949417
0.502651	1.949313
0.503146	1.94921
0.503641	1.949107
0.504136	1.949004
0.504632	1.948902
0.505129	1.9488
0.505626	1.948698
0.506123	1.948596
0.506621	1.948494
0.50712	1.948393
0.507619	1.948292
0.508118	1.948191
0.508618	1.94809
0.509118	1.947989
0.509619	1.947889
0.510121	1.947789
0.510622	1.947689
0.511125	1.94759
0.511628	1.94749
0.512131	1.947391
0.512635	1.947292
0.513139	1.947193
0.513644	1.947095
0.514149	1.946996
0.514655	1.946898
0.515162	1.9468
0.515668	1.946703
0.516176	1.946605
0.516684	1.946508
0.517192	1.946411
0.517701	1.946314
0.51821	1.946218
0.51872	1.946121
0.51923	1.946025
0.519741	1.945929
0.520252	1.945833
0.520764	1.945738
0.521276	1.945642
0.521789	1.945547
0.522303	1.945452
0.522817	1.945357
0.523331	1.945263
0.523846	1.945169
0.524361	1.945075
0.524877	1.944981
0.525393	1.944887
0.52591	1.944793
0.526428	1.9447
0.526946	1.944607
0.527464	1.944514
0.527983	1.944421
0.528502	1.944329
0.529022	1.944237
0.529543	1.944145
0.530064	1.944053
0.530585	1.943961
0.531107	1.943869
0.53163	1.943778
0.532153	1.943687
0.532676	1.943596
0.5332	1.943506
0.533725	1.943415
0.53425	1.943325
0.534776	1.943235
0.535302	1.943145
0.535828	1.943055
0.536356	1.942965
0.536883	1.942876
0.537412	1.942787
0.53794	1.942698
0.538469	1.942609
0.538999	1.942521
0.53953	1.942432
0.54006	1.942344
0.540592	1.942256
0.541123	1.942168
0.541656	1.942081
0.542189	1.941993
0.542722	1.941906
0.543256	1.941819
0.543791	1.941732
0.544326	1.941646
0.544861	1.941559
0.545397	1.941473
0.545934	1.941387
0.546471	1.941301
0.547008	1.941215
0.547547	1.94113
0.548085	1.941044
0.548625	1.940959
0.549164	1.940874
0.549705	1.940789
0.550245	1.940705
0.550787	1.94062
0.551329	1.940536
0.551871	1.940452
0.552414	1.940368
0.552957	1.940284
0.553501	1.940201
0.554046	1.940118
0.554591	1.940034
0.555137	1.939951
0.555683	1.939869
0.55623	1.939786
0.556777	1.939703
0.557325	1.939621
0.557873	1.939539
0.558422	1.939457
0.558971	1.939375
0.559521	1.939294
0.560071	1.939212
0.560623	1.939131
0.561174	1.93905
0.561726	1.938969
0.562279	1.938889
0.562832	1.938808
0.563386	1.938728
0.56394	1.938648
0.564495	1.938568
0.56505	1.938488
0.565606	1.938408
0.566163	1.938329
0.56672	1.938249
0.567277	1.93817
0.567835	1.938091
0.568394	1.938012
0.568953	1.937934
0.569513	1.937855
0.570073	1.937777
0.570634	1.937699
0.571195	1.937621
0.571757	1.937543
0.57232	1.937465
0.572883	1.937388
0.573446	1.93731
0.574011	1.937233
0.574575	1.937156
0.575141	1.93708
0.575706	1.937003
0.576273	1.936926
0.57684	1.93685
0.577407	1.936774
0.577975	1.936698
0.578544	1.936622
0.579113	1.936546
0.579683	1.936471
0.580253	1.936396
0.580824	1.93632
0.581396	1.936245
0.581968	1.936171
0.58254	1.936096
0.583113	1.936021
0.583687	1.935947
0.584261	1.935873
0.584836	1.935799
0.585411	1.935725
0.585987	1.935651
0.586564	1.935577
0.587141	1.935504
0.587719	1.935431
0.588297	1.935358
0.588875	1.935285
0.589455	1.935212
0.590035	1.935139
0.590615	1.935067
0.591196	1.934994
0.591778	1.934922
0.59236	1.93485
0.592943	1.934778
0.593526	1.934706
0.59411	1.934635
0.594695	1.934563
0.59528	1.934492
0.595865	1.934421
0.596452	1.93435
0.597038	1.934279
0.597626	1.934209
0.598214	1.934138
0.598802	1.934068
0.599391	1.933997
0.599981	1.933927
0.600571	1.933857
0.601162	1.933788
0.601754	1.933718
0.602346	1.933649
0.602938	1.933579
0.603532	1.93351
0.604125	1.933441
0.60472	1.933372
0.605315	1.933303
0.60591	1.933235
0.606506	1.933166
0.607103	1.933098
0.6077	1.93303
0.608298	1.932962
0.608897	1.932894
0.609496	1.932826
0.610095	1.932759
0.610695	1.932691
0.611296	1.932624
0.611898	1.932557
0.6125	1.93249
0.613102	1.932423
0.613705	1.932356
0.614309	1.93229
0.614914	1.932223
0.615519	1.932157
0.616124	1.932091
0.61673	1.932025
0.617337	1.931959
0.617944	1.931893
0.618552	1.931827
0.619161	1.931762
0.61977	1.931697
0.62038	1.931631
0.62099	1.931566
0.621601	1.931501
0.622213	1.931437
0.622825	1.931372
0.623437	1.931308
0.624051	1.931243
0.624665	1.931179
0.625279	1.931115
0.625895	1.931051
0.62651	1.930987
0.627127	1.930923
0.627744	1.93086
0.628361	1.930796
0.628979	1.930733
0.629598	1.93067
0.630218	1.930607
0.630838	1.930544
0.631458	1.930481
0.63208	1.930419
0.632701	1.930356
0.633324	1.930294
0.633947	1.930232
0.634571	1.930169
0.635195	1.930108
0.63582	1.930046
0.636445	1.929984
0.637072	1.929922
0.637698	1.929861
0.638326	1.9298
0.638954	1.929738
0.639582	1.929677
0.640212	1.929616
0.640841	1.929556
0.641472	1.929495
0.642103	1.929434
0.642735	1.929374
0.643367	1.929314
0.644	1.929254

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/Medenbach.yml
ID: ds_eb58ce4d51a1
API: /v1/datasets/ds_eb58ce4d51a1

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