Optical constants

Refractive index of Lu₂O₃ (Lutetium sesquioxide)

Kaminskii et al. 2008: n 0.365–2.325 µm

Data: formula 4
Range: 0.365–2.325 µm
Licence: CC0-1.0

Axis Log x Log y

Click the plot to set the calculator wavelength.

At one wavelength

Refractive index n: 1.93526
Extinction coefficient k: 0

Permittivity ε₁: 3.74523
Permittivity ε₂: 0

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

Abbe number V_d: 38.399
Chromatic dispersion dn/dλ: -0.123968 µm⁻¹

Group index n_g: 2.0081
Group velocity dispersion: 240.157 fs²/mm

Dispersion parameter D: -1310.18 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): Kaminskii et al. 2008: n 0.365–2.325 µm
lu2o3 = ls.fetch_refractiveindex("main", "Lu2O3", "Kaminskii", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(lu2o3.range_nm)  # (365, 2325) 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_73261f67ec2d/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/kaminskii-2008).

# ... 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.

Dispersion formula

RefractiveIndex.INFO (formula 4), λ in µm

n^{2} = 3.61968 + \frac{0.04131 λ^{0.0}}{λ^{2} - {0.0238}^{1.0}} - 0.00856 λ^{2.0}

Valid from 0.365 to 2.325 µm.

Coefficients as stored

C_i	Value
C1	3.61968
C2	0.04131
C3	0.0
C4	0.0238
C5	1.0
C6	0.0
C7	0.0
C8	0.0
C9	0.0
C10	-0.00856
C11	2.0

Comments and conditions

Room temperature

References

A. A. Kaminskii, M. Sh. Akchurin, P. Becker, K. Ueda, L. Bohatý, A. Shirakawa, M. Tokurakawa, K. Takaichi, H. Yagi, J. Dong. Mechanical and optical properties of Lu₂O₃ host-ceramics for Ln³⁺ lasants. Laser Phys. Lett. 5, 300-303, 2008

doi:10.1002/lapl.200710128 Mechanical and optical properties of Lu2O3 host-ceramics for Ln3+ lasants, Laser Physics Letters (2007)

Cite

A A Kaminskii et al.. Mechanical and optical properties of Lu2O3 host-ceramics for Ln3+ lasants. Laser Physics Letters, 5, 300-303 (2007), doi:10.1002/lapl.200710128; 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), Kaminskii et al. 2008: n 0.365–2.325 µm: n and k versus wavelength
λ (µm)	n
0.365	1.999014
0.366698	1.997951
0.368403	1.996902
0.370117	1.995866
0.371838	1.994842
0.373568	1.993832
0.375306	1.992834
0.377051	1.991848
0.378805	1.990875
0.380567	1.989914
0.382337	1.988964
0.384116	1.988027
0.385902	1.9871
0.387697	1.986185
0.3895	1.985281
0.391312	1.984388
0.393132	1.983506
0.394961	1.982635
0.396798	1.981774
0.398644	1.980923
0.400498	1.980082
0.402361	1.979252
0.404232	1.978431
0.406112	1.97762
0.408001	1.976819
0.409899	1.976027
0.411806	1.975245
0.413721	1.974472
0.415645	1.973708
0.417579	1.972952
0.419521	1.972206
0.421472	1.971468
0.423433	1.970739
0.425402	1.970018
0.427381	1.969306
0.429369	1.968602
0.431366	1.967906
0.433372	1.967217
0.435388	1.966537
0.437413	1.965865
0.439448	1.9652
0.441492	1.964543
0.443545	1.963893
0.445609	1.96325
0.447681	1.962615
0.449764	1.961987
0.451856	1.961366
0.453957	1.960752
0.456069	1.960145
0.45819	1.959545
0.460321	1.958951
0.462462	1.958364
0.464613	1.957783
0.466775	1.957209
0.468946	1.956641
0.471127	1.95608
0.473318	1.955524
0.47552	1.954975
0.477732	1.954432
0.479954	1.953894
0.482186	1.953363
0.484429	1.952837
0.486682	1.952317
0.488946	1.951803
0.49122	1.951294
0.493505	1.950791
0.4958	1.950293
0.498107	1.9498
0.500423	1.949313
0.502751	1.948831
0.505089	1.948354
0.507439	1.947882
0.509799	1.947416
0.51217	1.946954
0.514553	1.946497
0.516946	1.946045
0.51935	1.945597
0.521766	1.945155
0.524193	1.944717
0.526631	1.944284
0.529081	1.943855
0.531542	1.94343
0.534014	1.943011
0.536498	1.942595
0.538993	1.942184
0.5415	1.941777
0.544019	1.941374
0.546549	1.940976
0.549092	1.940581
0.551646	1.940191
0.554212	1.939805
0.556789	1.939422
0.559379	1.939044
0.561981	1.938669
0.564595	1.938298
0.567221	1.937931
0.569859	1.937568
0.57251	1.937209
0.575173	1.936853
0.577848	1.9365
0.580536	1.936151
0.583236	1.935806
0.585949	1.935464
0.588675	1.935126
0.591413	1.934791
0.594164	1.934459
0.596927	1.934131
0.599704	1.933806
0.602493	1.933484
0.605296	1.933165
0.608111	1.93285
0.61094	1.932537
0.613781	1.932228
0.616636	1.931922
0.619504	1.931618
0.622386	1.931318
0.625281	1.931021
0.628189	1.930726
0.631111	1.930434
0.634047	1.930146
0.636996	1.92986
0.639959	1.929576
0.642935	1.929296
0.645926	1.929018
0.64893	1.928743
0.651949	1.92847
0.654981	1.928201
0.658028	1.927933
0.661088	1.927668
0.664163	1.927406
0.667252	1.927146
0.670356	1.926889
0.673474	1.926634
0.676607	1.926382
0.679754	1.926132
0.682915	1.925884
0.686092	1.925638
0.689283	1.925395
0.692489	1.925154
0.69571	1.924915
0.698946	1.924679
0.702197	1.924445
0.705463	1.924213
0.708745	1.923983
0.712041	1.923755
0.715353	1.923529
0.718681	1.923305
0.722023	1.923083
0.725382	1.922864
0.728756	1.922646
0.732146	1.92243
0.735551	1.922216
0.738972	1.922004
0.742409	1.921794
0.745863	1.921586
0.749332	1.92138
0.752817	1.921176
0.756319	1.920973
0.759837	1.920772
0.763371	1.920573
0.766922	1.920376
0.770489	1.92018
0.774073	1.919986
0.777673	1.919794
0.78129	1.919603
0.784924	1.919414
0.788575	1.919227
0.792243	1.919041
0.795928	1.918857
0.79963	1.918674
0.80335	1.918493
0.807086	1.918314
0.81084	1.918136
0.814612	1.917959
0.818401	1.917784
0.822208	1.917611
0.826032	1.917438
0.829874	1.917268
0.833734	1.917098
0.837612	1.91693
0.841508	1.916764
0.845422	1.916599
0.849355	1.916435
0.853305	1.916272
0.857274	1.916111
0.861262	1.915951
0.865268	1.915792
0.869292	1.915635
0.873336	1.915478
0.877398	1.915323
0.881479	1.91517
0.885579	1.915017
0.889698	1.914866
0.893836	1.914715
0.897994	1.914566
0.902171	1.914418
0.906367	1.914271
0.910583	1.914125
0.914818	1.913981
0.919073	1.913837
0.923348	1.913695
0.927643	1.913553
0.931958	1.913413
0.936293	1.913273
0.940648	1.913135
0.945023	1.912997
0.949419	1.912861
0.953835	1.912725
0.958271	1.912591
0.962729	1.912457
0.967207	1.912324
0.971705	1.912192
0.976225	1.912061
0.980766	1.911931
0.985328	1.911802
0.989911	1.911674
0.994515	1.911547
0.999141	1.91142
1.00379	1.911294
1.00846	1.911169
1.01315	1.911045
1.01786	1.910922
1.02259	1.910799
1.02735	1.910677
1.03213	1.910556
1.03693	1.910436
1.04175	1.910316
1.0466	1.910198
1.05147	1.910079
1.05636	1.909962
1.06127	1.909845
1.06621	1.909729
1.07117	1.909614
1.07615	1.909499
1.08115	1.909385
1.08618	1.909271
1.09124	1.909158
1.09631	1.909046
1.10141	1.908934
1.10653	1.908823
1.11168	1.908713
1.11685	1.908603
1.12205	1.908493
1.12727	1.908385
1.13251	1.908276
1.13778	1.908169
1.14307	1.908061
1.14839	1.907955
1.15373	1.907848
1.15909	1.907743
1.16448	1.907637
1.1699	1.907533
1.17534	1.907428
1.18081	1.907324
1.1863	1.907221
1.19182	1.907118
1.19736	1.907015
1.20293	1.906913
1.20853	1.906812
1.21415	1.90671
1.2198	1.906609
1.22547	1.906509
1.23117	1.906408
1.2369	1.906309
1.24265	1.906209
1.24843	1.90611
1.25424	1.906011
1.26007	1.905912
1.26593	1.905814
1.27182	1.905716
1.27774	1.905619
1.28368	1.905521
1.28965	1.905424
1.29565	1.905327
1.30167	1.905231
1.30773	1.905135
1.31381	1.905039
1.31992	1.904943
1.32606	1.904847
1.33223	1.904752
1.33843	1.904657
1.34465	1.904562
1.35091	1.904467
1.35719	1.904372
1.3635	1.904278
1.36985	1.904184
1.37622	1.904089
1.38262	1.903995
1.38905	1.903902
1.39551	1.903808
1.402	1.903714
1.40852	1.903621
1.41507	1.903528
1.42166	1.903434
1.42827	1.903341
1.43491	1.903248
1.44159	1.903155
1.44829	1.903062
1.45503	1.902969
1.4618	1.902876
1.46859	1.902784
1.47543	1.902691
1.48229	1.902598
1.48918	1.902505
1.49611	1.902413
1.50307	1.90232
1.51006	1.902227
1.51708	1.902134
1.52414	1.902042
1.53123	1.901949
1.53835	1.901856
1.54551	1.901763
1.5527	1.90167
1.55992	1.901577
1.56717	1.901484
1.57446	1.901391
1.58179	1.901297
1.58914	1.901204
1.59654	1.90111
1.60396	1.901017
1.61142	1.900923
1.61892	1.900829
1.62645	1.900735
1.63401	1.900641
1.64161	1.900547
1.64925	1.900452
1.65692	1.900357
1.66463	1.900263
1.67237	1.900167
1.68015	1.900072
1.68796	1.899977
1.69581	1.899881
1.7037	1.899785
1.71163	1.899689
1.71959	1.899593
1.72759	1.899496
1.73562	1.899399
1.74369	1.899302
1.75181	1.899204
1.75995	1.899107
1.76814	1.899009
1.77636	1.89891
1.78463	1.898812
1.79293	1.898713
1.80127	1.898613
1.80964	1.898514
1.81806	1.898414
1.82652	1.898313
1.83501	1.898213
1.84355	1.898112
1.85212	1.89801
1.86074	1.897908
1.86939	1.897806
1.87809	1.897703
1.88682	1.8976
1.8956	1.897497
1.90442	1.897393
1.91328	1.897289
1.92218	1.897184
1.93112	1.897078
1.9401	1.896973
1.94912	1.896866
1.95819	1.89676
1.9673	1.896652
1.97645	1.896545
1.98564	1.896436
1.99488	1.896328
2.00416	1.896218
2.01348	1.896108
2.02284	1.895998
2.03225	1.895887
2.0417	1.895775
2.0512	1.895663
2.06074	1.89555
2.07033	1.895437
2.07996	1.895323
2.08963	1.895208
2.09935	1.895093
2.10912	1.894977
2.11893	1.894861
2.12878	1.894743
2.13868	1.894625
2.14863	1.894507
2.15862	1.894388
2.16867	1.894268
2.17875	1.894147
2.18889	1.894025
2.19907	1.893903
2.2093	1.89378
2.21957	1.893657
2.2299	1.893532
2.24027	1.893407
2.25069	1.893281
2.26116	1.893154
2.27167	1.893026
2.28224	1.892898
2.29286	1.892768
2.30352	1.892638
2.31424	1.892507
2.325	1.892375

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/Kaminskii.yml
ID: ds_73261f67ec2d
API: /v1/datasets/ds_73261f67ec2d

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