Optical constants

Refractive index of Sc₂O₃ (Scandium 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: 1.9943
Extinction coefficient k: 0

Permittivity ε₁: 3.97721
Permittivity ε₂: 0

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

Abbe number V_d: —
Chromatic dispersion dn/dλ: -0.144591 µm⁻¹

Group index n_g: 2.07926
Group velocity dispersion: 281.577 fs²/mm

Dispersion parameter D: -1536.15 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

# Sc2O3 (Scandium sesquioxide): Medenbach et al. 2001: n 0.435–0.644 µm
sc2o3 = ls.fetch_refractiveindex("main", "Sc2O3", "Medenbach", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(sc2o3.range_nm)  # (435, 644) nm
eps = sc2o3.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_dd6e3c735f6e/lightsmith"
sc2o3 = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(sc2o3.source)  # citation and provenance travel with the data

Any dataset here, as the library's Tabulated material (sc2o3/medenbach-2001).

# ... load sc2o3 as above, then:
sim = ls.Simulation(
    particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=sc2o3)],
    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_dd6e3c735f6e/lightsmith?model=drude_lorentz"
sc2o3_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{2.8169 λ^{2}}{λ^{2} - 0.018592}

Valid from 0.435 to 0.644 µm.

Coefficients as stored

C_i	Value
C1	0.0
C2	2.8169
C3	0.018592

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

Sc2O3 (Scandium sesquioxide), Medenbach et al. 2001: n 0.435–0.644 µm: n and k versus wavelength
λ (µm)	n
0.435	2.030721
0.435428	2.030556
0.435856	2.030392
0.436285	2.030228
0.436714	2.030064
0.437144	2.029901
0.437574	2.029739
0.438005	2.029576
0.438436	2.029414
0.438867	2.029253
0.439299	2.029091
0.439731	2.028931
0.440163	2.02877
0.440596	2.02861
0.44103	2.02845
0.441464	2.028291
0.441898	2.028132
0.442333	2.027973
0.442768	2.027815
0.443204	2.027657
0.44364	2.027499
0.444076	2.027342
0.444513	2.027185
0.44495	2.027029
0.445388	2.026873
0.445826	2.026717
0.446265	2.026561
0.446704	2.026406
0.447143	2.026252
0.447583	2.026097
0.448024	2.025943
0.448465	2.02579
0.448906	2.025636
0.449347	2.025484
0.449789	2.025331
0.450232	2.025179
0.450675	2.025027
0.451118	2.024875
0.451562	2.024724
0.452006	2.024573
0.452451	2.024423
0.452896	2.024273
0.453342	2.024123
0.453788	2.023973
0.454234	2.023824
0.454681	2.023675
0.455128	2.023527
0.455576	2.023379
0.456024	2.023231
0.456473	2.023084
0.456922	2.022936
0.457372	2.02279
0.457822	2.022643
0.458272	2.022497
0.458723	2.022351
0.459174	2.022206
0.459626	2.022061
0.460078	2.021916
0.460531	2.021772
0.460984	2.021627
0.461437	2.021484
0.461891	2.02134
0.462346	2.021197
0.462801	2.021054
0.463256	2.020912
0.463712	2.020769
0.464168	2.020628
0.464625	2.020486
0.465082	2.020345
0.465539	2.020204
0.465997	2.020063
0.466456	2.019923
0.466915	2.019783
0.467374	2.019644
0.467834	2.019504
0.468294	2.019365
0.468755	2.019227
0.469216	2.019088
0.469678	2.01895
0.47014	2.018812
0.470602	2.018675
0.471065	2.018538
0.471529	2.018401
0.471993	2.018265
0.472457	2.018128
0.472922	2.017993
0.473387	2.017857
0.473853	2.017722
0.474319	2.017587
0.474786	2.017452
0.475253	2.017318
0.47572	2.017184
0.476188	2.01705
0.476657	2.016916
0.477126	2.016783
0.477595	2.01665
0.478065	2.016518
0.478535	2.016386
0.479006	2.016254
0.479477	2.016122
0.479949	2.015991
0.480421	2.015859
0.480894	2.015729
0.481367	2.015598
0.481841	2.015468
0.482315	2.015338
0.482789	2.015208
0.483264	2.015079
0.48374	2.01495
0.484216	2.014821
0.484692	2.014693
0.485169	2.014565
0.485646	2.014437
0.486124	2.014309
0.486602	2.014182
0.487081	2.014055
0.48756	2.013928
0.48804	2.013802
0.48852	2.013676
0.489	2.01355
0.489482	2.013424
0.489963	2.013299
0.490445	2.013174
0.490928	2.013049
0.491411	2.012924
0.491894	2.0128
0.492378	2.012676
0.492862	2.012553
0.493347	2.012429
0.493833	2.012306
0.494319	2.012183
0.494805	2.012061
0.495292	2.011938
0.495779	2.011816
0.496267	2.011695
0.496755	2.011573
0.497244	2.011452
0.497733	2.011331
0.498223	2.01121
0.498713	2.01109
0.499203	2.01097
0.499695	2.01085
0.500186	2.01073
0.500678	2.010611
0.501171	2.010492
0.501664	2.010373
0.502157	2.010254
0.502651	2.010136
0.503146	2.010018
0.503641	2.0099
0.504136	2.009783
0.504632	2.009666
0.505129	2.009549
0.505626	2.009432
0.506123	2.009316
0.506621	2.009199
0.50712	2.009083
0.507619	2.008968
0.508118	2.008852
0.508618	2.008737
0.509118	2.008622
0.509619	2.008508
0.510121	2.008393
0.510622	2.008279
0.511125	2.008165
0.511628	2.008051
0.512131	2.007938
0.512635	2.007825
0.513139	2.007712
0.513644	2.007599
0.514149	2.007487
0.514655	2.007375
0.515162	2.007263
0.515668	2.007151
0.516176	2.00704
0.516684	2.006929
0.517192	2.006818
0.517701	2.006707
0.51821	2.006596
0.51872	2.006486
0.51923	2.006376
0.519741	2.006267
0.520252	2.006157
0.520764	2.006048
0.521276	2.005939
0.521789	2.00583
0.522303	2.005722
0.522817	2.005613
0.523331	2.005505
0.523846	2.005398
0.524361	2.00529
0.524877	2.005183
0.525393	2.005076
0.52591	2.004969
0.526428	2.004862
0.526946	2.004756
0.527464	2.00465
0.527983	2.004544
0.528502	2.004438
0.529022	2.004333
0.529543	2.004227
0.530064	2.004122
0.530585	2.004018
0.531107	2.003913
0.53163	2.003809
0.532153	2.003705
0.532676	2.003601
0.5332	2.003497
0.533725	2.003394
0.53425	2.003291
0.534776	2.003188
0.535302	2.003085
0.535828	2.002982
0.536356	2.00288
0.536883	2.002778
0.537412	2.002676
0.53794	2.002575
0.538469	2.002473
0.538999	2.002372
0.53953	2.002271
0.54006	2.002171
0.540592	2.00207
0.541123	2.00197
0.541656	2.00187
0.542189	2.00177
0.542722	2.00167
0.543256	2.001571
0.543791	2.001472
0.544326	2.001373
0.544861	2.001274
0.545397	2.001175
0.545934	2.001077
0.546471	2.000979
0.547008	2.000881
0.547547	2.000783
0.548085	2.000686
0.548625	2.000589
0.549164	2.000492
0.549705	2.000395
0.550245	2.000298
0.550787	2.000202
0.551329	2.000105
0.551871	2.000009
0.552414	1.999914
0.552957	1.999818
0.553501	1.999723
0.554046	1.999627
0.554591	1.999533
0.555137	1.999438
0.555683	1.999343
0.55623	1.999249
0.556777	1.999155
0.557325	1.999061
0.557873	1.998967
0.558422	1.998874
0.558971	1.99878
0.559521	1.998687
0.560071	1.998594
0.560623	1.998501
0.561174	1.998409
0.561726	1.998317
0.562279	1.998224
0.562832	1.998133
0.563386	1.998041
0.56394	1.997949
0.564495	1.997858
0.56505	1.997767
0.565606	1.997676
0.566163	1.997585
0.56672	1.997495
0.567277	1.997404
0.567835	1.997314
0.568394	1.997224
0.568953	1.997134
0.569513	1.997045
0.570073	1.996955
0.570634	1.996866
0.571195	1.996777
0.571757	1.996688
0.57232	1.9966
0.572883	1.996511
0.573446	1.996423
0.574011	1.996335
0.574575	1.996247
0.575141	1.99616
0.575706	1.996072
0.576273	1.995985
0.57684	1.995898
0.577407	1.995811
0.577975	1.995724
0.578544	1.995638
0.579113	1.995551
0.579683	1.995465
0.580253	1.995379
0.580824	1.995293
0.581396	1.995208
0.581968	1.995122
0.58254	1.995037
0.583113	1.994952
0.583687	1.994867
0.584261	1.994783
0.584836	1.994698
0.585411	1.994614
0.585987	1.99453
0.586564	1.994446
0.587141	1.994362
0.587719	1.994278
0.588297	1.994195
0.588875	1.994112
0.589455	1.994029
0.590035	1.993946
0.590615	1.993863
0.591196	1.993781
0.591778	1.993698
0.59236	1.993616
0.592943	1.993534
0.593526	1.993452
0.59411	1.993371
0.594695	1.993289
0.59528	1.993208
0.595865	1.993127
0.596452	1.993046
0.597038	1.992965
0.597626	1.992884
0.598214	1.992804
0.598802	1.992724
0.599391	1.992643
0.599981	1.992564
0.600571	1.992484
0.601162	1.992404
0.601754	1.992325
0.602346	1.992246
0.602938	1.992167
0.603532	1.992088
0.604125	1.992009
0.60472	1.99193
0.605315	1.991852
0.60591	1.991774
0.606506	1.991696
0.607103	1.991618
0.6077	1.99154
0.608298	1.991463
0.608897	1.991385
0.609496	1.991308
0.610095	1.991231
0.610695	1.991154
0.611296	1.991077
0.611898	1.991001
0.6125	1.990924
0.613102	1.990848
0.613705	1.990772
0.614309	1.990696
0.614914	1.99062
0.615519	1.990545
0.616124	1.990469
0.61673	1.990394
0.617337	1.990319
0.617944	1.990244
0.618552	1.990169
0.619161	1.990094
0.61977	1.99002
0.62038	1.989946
0.62099	1.989871
0.621601	1.989797
0.622213	1.989724
0.622825	1.98965
0.623437	1.989576
0.624051	1.989503
0.624665	1.98943
0.625279	1.989357
0.625895	1.989284
0.62651	1.989211
0.627127	1.989138
0.627744	1.989066
0.628361	1.988994
0.628979	1.988921
0.629598	1.98885
0.630218	1.988778
0.630838	1.988706
0.631458	1.988634
0.63208	1.988563
0.632701	1.988492
0.633324	1.988421
0.633947	1.98835
0.634571	1.988279
0.635195	1.988208
0.63582	1.988138
0.636445	1.988068
0.637072	1.987997
0.637698	1.987927
0.638326	1.987858
0.638954	1.987788
0.639582	1.987718
0.640212	1.987649
0.640841	1.98758
0.641472	1.98751
0.642103	1.987441
0.642735	1.987373
0.643367	1.987304
0.644	1.987235

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: —

Sc₂O₃ (Scandium sesquioxide): all datasets

About Sc2O3 (Scandium sesquioxide)

Scandium sesquioxide (Sc₂O₃) is a white solid compound that is classified as a rare earth oxide. It exhibits a high melting point and stability under various conditions. Scandium sesquioxide is transparent to infrared light, making it useful for certain optical applications. In the world of research, Sc₂O₃ is used as a starting material for the synthesis of scandium-containing compounds and is often employed as a dopant in various materials to improve their luminescent properties. Additionally, due to its relatively high dielectric constant and good thermal conductivity, scandium sesquioxide has been investigated for potential applications in electronics. Overall, while its use is niche, it remains an important compound in both the optical and electronic materials domains.

More about Sc2O3 (Scandium sesquioxide) →

Provenance

Version: 1 (snapshot c5c2f18)
Source page: refractiveindex.info
Original file: database/data/main/Sc2O3/nk/Medenbach.yml
ID: ds_dd6e3c735f6e
API: /v1/datasets/ds_dd6e3c735f6e

Plot