Optical constants

Refractive index of Y₂O₃ (Yttrium sesquioxide)

Nigara 1968: n 0.25–9.6 µm

Data: formula 1
Range: 0.25–9.6 µm
Licence: CC0-1.0

Axis Log x Log y

Click the plot to set the calculator wavelength.

At one wavelength

Refractive index n: 1.93068
Extinction coefficient k: 0

Permittivity ε₁: 3.72753
Permittivity ε₂: 0

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

Abbe number V_d: 32.954
Chromatic dispersion dn/dλ: -0.144275 µm⁻¹

Group index n_g: 2.01546
Group velocity dispersion: 275.679 fs²/mm

Dispersion parameter D: -1503.98 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

# Y2O3 (Yttrium sesquioxide): Nigara 1968: n 0.25–9.6 µm
y2o3 = ls.fetch_refractiveindex("main", "Y2O3", "Nigara", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(y2o3.range_nm)  # (250, 9600) nm
eps = y2o3.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_23ad992e4917/lightsmith"
y2o3 = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(y2o3.source)  # citation and provenance travel with the data

Any dataset here, as the library's Tabulated material (y2o3/nigara-1968).

# ... load y2o3 as above, then:
sim = ls.Simulation(
    particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=y2o3)],
    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"]).

import json, urllib.request
import lightsmith as ls

url = "https://materials.lightsmith.dev/v1/datasets/ds_23ad992e4917/lightsmith?model=drude_lorentz"
y2o3_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 (formula 1), λ in µm

n^{2} - 1 = \frac{2.578 λ^{2}}{λ^{2} - {0.1387}^{2}} + \frac{3.935 λ^{2}}{λ^{2} - {22.936}^{2}}

Valid from 0.25 to 9.6 µm.

Coefficients as stored

C_i	Value
C1	0.0
C2	2.578
C3	0.1387
C4	3.935
C5	22.936

References

Y. Nigara. Measurement of the optical constants of yttrium oxide. Jpn. J. Appl. Phys. 7, 404-408 (1968)

doi:10.1143/jjap.7.404 Measurement of the Optical Constants of Yttrium Oxide, Japanese Journal of Applied Physics (1968)

Cite

Yutaka Nigara. Measurement of the Optical Constants of Yttrium Oxide. Japanese Journal of Applied Physics, 7, 404 (1968), doi:10.1143/jjap.7.404; 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

Y2O3 (Yttrium sesquioxide), Nigara 1968: n 0.25–9.6 µm: n and k versus wavelength
λ (µm)	n
0.25	2.173455
0.252296	2.166594
0.254614	2.159942
0.256952	2.153491
0.259312	2.147233
0.261694	2.141161
0.264098	2.135266
0.266523	2.129543
0.268971	2.123984
0.271442	2.118584
0.273935	2.113336
0.276451	2.108236
0.27899	2.103277
0.281553	2.098455
0.284139	2.093765
0.286749	2.089202
0.289382	2.084762
0.29204	2.08044
0.294723	2.076233
0.29743	2.072136
0.300162	2.068147
0.302919	2.064261
0.305701	2.060475
0.308509	2.056786
0.311342	2.05319
0.314202	2.049686
0.317088	2.046269
0.32	2.042937
0.322939	2.039689
0.325906	2.03652
0.328899	2.033428
0.33192	2.030412
0.334969	2.027469
0.338045	2.024597
0.34115	2.021793
0.344284	2.019057
0.347446	2.016385
0.350637	2.013776
0.353858	2.011228
0.357108	2.008739
0.360388	2.006309
0.363698	2.003934
0.367039	2.001614
0.37041	1.999347
0.373812	1.997132
0.377245	1.994967
0.38071	1.992851
0.384207	1.990783
0.387736	1.98876
0.391297	1.986783
0.394891	1.98485
0.398519	1.982959
0.402179	1.98111
0.405873	1.979302
0.409601	1.977533
0.413363	1.975803
0.41716	1.97411
0.420991	1.972454
0.424858	1.970833
0.42876	1.969247
0.432698	1.967695
0.436673	1.966176
0.440684	1.964689
0.444731	1.963234
0.448816	1.961809
0.452938	1.960414
0.457099	1.959049
0.461297	1.957712
0.465534	1.956403
0.46981	1.955121
0.474125	1.953865
0.47848	1.952635
0.482875	1.951431
0.48731	1.950251
0.491786	1.949095
0.496303	1.947963
0.500861	1.946854
0.505462	1.945767
0.510104	1.944702
0.514789	1.943659
0.519518	1.942636
0.524289	1.941634
0.529105	1.940652
0.533965	1.93969
0.538869	1.938746
0.543819	1.937821
0.548814	1.936915
0.553855	1.936026
0.558942	1.935155
0.564075	1.934301
0.569256	1.933463
0.574485	1.932642
0.579762	1.931836
0.585087	1.931046
0.590461	1.930272
0.595884	1.929512
0.601357	1.928767
0.606881	1.928036
0.612455	1.927319
0.61808	1.926615
0.623757	1.925925
0.629486	1.925248
0.635268	1.924584
0.641103	1.923932
0.646991	1.923292
0.652934	1.922664
0.658931	1.922048
0.664983	1.921443
0.671091	1.92085
0.677255	1.920267
0.683476	1.919695
0.689753	1.919134
0.696089	1.918582
0.702482	1.918041
0.708934	1.91751
0.715446	1.916988
0.722017	1.916475
0.728649	1.915972
0.735342	1.915477
0.742096	1.914992
0.748912	1.914514
0.75579	1.914046
0.762732	1.913585
0.769738	1.913133
0.776808	1.912688
0.783943	1.912251
0.791143	1.911822
0.79841	1.911399
0.805743	1.910984
0.813144	1.910576
0.820613	1.910175
0.82815	1.909781
0.835756	1.909393
0.843433	1.909012
0.85118	1.908637
0.858998	1.908268
0.866887	1.907904
0.87485	1.907547
0.882885	1.907196
0.890994	1.90685
0.899178	1.906509
0.907437	1.906174
0.915772	1.905844
0.924183	1.905519
0.932672	1.9052
0.941238	1.904885
0.949883	1.904574
0.958608	1.904268
0.967413	1.903967
0.976298	1.90367
0.985265	1.903378
0.994315	1.90309
1.00345	1.902805
1.01266	1.902525
1.02197	1.902248
1.03135	1.901976
1.04083	1.901707
1.05039	1.901441
1.06003	1.901179
1.06977	1.90092
1.07959	1.900665
1.08951	1.900413
1.09952	1.900164
1.10962	1.899918
1.11981	1.899675
1.13009	1.899434
1.14047	1.899197
1.15095	1.898962
1.16152	1.89873
1.17219	1.8985
1.18296	1.898273
1.19382	1.898048
1.20479	1.897825
1.21585	1.897604
1.22702	1.897386
1.23829	1.897169
1.24966	1.896955
1.26114	1.896742
1.27272	1.896531
1.28441	1.896322
1.29621	1.896115
1.30812	1.895909
1.32013	1.895705
1.33226	1.895502
1.34449	1.8953
1.35684	1.8951
1.36931	1.894901
1.38188	1.894703
1.39458	1.894506
1.40738	1.89431
1.42031	1.894116
1.43336	1.893922
1.44652	1.893729
1.45981	1.893536
1.47322	1.893344
1.48675	1.893153
1.5004	1.892963
1.51418	1.892773
1.52809	1.892583
1.54213	1.892394
1.55629	1.892205
1.57059	1.892016
1.58501	1.891827
1.59957	1.891639
1.61426	1.89145
1.62909	1.891262
1.64405	1.891073
1.65915	1.890884
1.67439	1.890695
1.68977	1.890506
1.70529	1.890316
1.72095	1.890126
1.73676	1.889935
1.75271	1.889744
1.76881	1.889552
1.78506	1.889359
1.80145	1.889166
1.818	1.888972
1.8347	1.888777
1.85155	1.888581
1.86856	1.888383
1.88572	1.888185
1.90304	1.887986
1.92052	1.887785
1.93816	1.887583
1.95596	1.88738
1.97392	1.887175
1.99206	1.886968
2.01035	1.88676
2.02882	1.886551
2.04745	1.886339
2.06626	1.886126
2.08524	1.885911
2.10439	1.885694
2.12372	1.885475
2.14322	1.885253
2.16291	1.88503
2.18277	1.884804
2.20282	1.884576
2.22306	1.884345
2.24347	1.884112
2.26408	1.883876
2.28488	1.883638
2.30586	1.883397
2.32704	1.883153
2.34842	1.882906
2.36999	1.882656
2.39175	1.882402
2.41372	1.882146
2.43589	1.881886
2.45827	1.881623
2.48084	1.881356
2.50363	1.881086
2.52663	1.880812
2.54983	1.880534
2.57325	1.880253
2.59689	1.879967
2.62074	1.879677
2.64481	1.879383
2.6691	1.879085
2.69362	1.878782
2.71836	1.878475
2.74333	1.878163
2.76853	1.877846
2.79395	1.877524
2.81962	1.877198
2.84551	1.876866
2.87165	1.876529
2.89803	1.876187
2.92464	1.875839
2.95151	1.875486
2.97862	1.875126
3.00597	1.874761
3.03358	1.87439
3.06145	1.874013
3.08957	1.873629
3.11794	1.873239
3.14658	1.872842
3.17548	1.872439
3.20465	1.872028
3.23408	1.871611
3.26379	1.871186
3.29377	1.870754
3.32402	1.870314
3.35455	1.869867
3.38536	1.869411
3.41646	1.868948
3.44784	1.868476
3.4795	1.867996
3.51146	1.867507
3.54372	1.867009
3.57627	1.866502
3.60911	1.865986
3.64226	1.865461
3.67572	1.864926
3.70948	1.864381
3.74355	1.863826
3.77793	1.863261
3.81263	1.862685
3.84765	1.862098
3.88299	1.8615
3.91866	1.860891
3.95465	1.860271
3.99097	1.859638
4.02763	1.858994
4.06462	1.858337
4.10196	1.857668
4.13963	1.856986
4.17765	1.856291
4.21603	1.855582
4.25475	1.85486
4.29383	1.854123
4.33327	1.853372
4.37307	1.852607
4.41324	1.851826
4.45377	1.85103
4.49468	1.850218
4.53596	1.84939
4.57762	1.848546
4.61967	1.847685
4.6621	1.846807
4.70492	1.845911
4.74814	1.844997
4.79175	1.844064
4.83576	1.843113
4.88017	1.842142
4.925	1.841152
4.97023	1.840142
5.01589	1.83911
5.06196	1.838058
5.10845	1.836984
5.15537	1.835887
5.20272	1.834768
5.25051	1.833626
5.29873	1.83246
5.3474	1.83127
5.39652	1.830054
5.44609	1.828813
5.49611	1.827546
5.54659	1.826252
5.59753	1.82493
5.64895	1.82358
5.70083	1.822202
5.75319	1.820793
5.80604	1.819355
5.85936	1.817885
5.91318	1.816383
5.96749	1.814849
6.0223	1.813281
6.07762	1.811679
6.13344	1.810042
6.18978	1.808368
6.24663	1.806657
6.304	1.804908
6.36191	1.80312
6.42034	1.801292
6.47931	1.799422
6.53882	1.797511
6.59888	1.795556
6.65949	1.793556
6.72066	1.79151
6.78239	1.789417
6.84468	1.787276
6.90755	1.785085
6.971	1.782843
7.03502	1.780549
7.09964	1.7782
7.16485	1.775795
7.23066	1.773334
7.29707	1.770813
7.36409	1.768232
7.43173	1.765589
7.49999	1.762881
7.56888	1.760107
7.6384	1.757264
7.70856	1.754352
7.77936	1.751367
7.85081	1.748307
7.92292	1.745171
7.99569	1.741955
8.06913	1.738657
8.14325	1.735274
8.21804	1.731804
8.29352	1.728244
8.3697	1.724591
8.44658	1.720842
8.52416	1.716993
8.60245	1.713041
8.68146	1.708982
8.7612	1.704814
8.84167	1.700532
8.92288	1.696131
9.00484	1.691609
9.08755	1.686959
9.17102	1.682178
9.25525	1.677261
9.34026	1.672203
9.42605	1.666998
9.51263	1.66164
9.6	1.656124

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: —

Y₂O₃ (Yttrium sesquioxide): all datasets

Nigara 1968: n 0.25–9.6 µm n 0.25–9.6 µm default

About Y2O3 (Yttrium sesquioxide)

Yttrium sesquioxide (Y₂O₃), also known as yttria, is a white crystalline compound that is one of the most stable of the rare earth oxides. With a high melting point and a unique refractive index, yttria is commonly used as a stabilizing agent for zirconia in the production of various ceramic materials, particularly those used for high-temperature applications. Its excellent thermal stability and resistance to chemical attack make it valuable in the production of refractories, crucibles, and ceramic coatings exposed to high temperatures. Additionally, yttrium oxide is used in the manufacture of yttrium-iron garnets (YIGs), which have applications in microwave filters and resonators. The material also serves as a host lattice for phosphors in television tubes and white LEDs.

More about Y2O3 (Yttrium sesquioxide) →

Provenance

Version: 1 (snapshot c5c2f18)
Source page: refractiveindex.info
Original file: database/data/main/Y2O3/nk/Nigara.yml
ID: ds_23ad992e4917
API: /v1/datasets/ds_23ad992e4917

Plot