Optical constants

Refractive index of ZrO2 (Zirconium dioxide, Zirconia)

Wood and Nassau 1982: Cubic zirconia stabilized with yttria; n 0.361–5.14 µm

Data
formula 1
Range
0.361–5.135 µm
State
crystalline
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.361–5.135 µm
Refractive index n
2.15876
Extinction coefficient k
0
Permittivity ε1
4.66025
Permittivity ε2
0
Absorption coefficient α
0 cm⁻¹
Penetration depth δ = λ/(2πk)
— nm
Abbe number Vd
33.54
Chromatic dispersion dn/dλ
-0.175673 µm⁻¹
Group index ng
2.26199
Group velocity dispersion
340.84 fs²/mm
Dispersion parameter D
-1859.46 ps/(nm·km)
Photon energy
2.11001 eV

ε = (n + ik)², α = 4πk/λ, ng = 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

# ZrO2 (Zirconium dioxide, Zirconia): Wood and Nassau 1982: Cubic zirconia stabilized with yttria; n 0.361–5.14 µm
zro2 = ls.fetch_refractiveindex("main", "ZrO2", "Wood", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(zro2.range_nm)  # (361, 5135) nm
eps = zro2.eps([633])  # complex permittivity

Downloads the original record once (pinned to the imported snapshot) and caches it.

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
n2−1=1.347091λ2λ2−0.0625432+2.117788λ2λ2−0.1667392+9.452943λ2λ2−24.320572

Valid from 0.361 to 5.135 µm.

Coefficients as stored
CiValue
C10.0
C21.347091
C30.062543
C42.117788
C50.166739
C69.452943
C724.32057

Comments and conditions

Cubic zirconiza; 25 °C; Y2O3 content: 12.0 mol %

References

D. L Wood and K. Nassau. Refractive index of cubic zirconia stabilized with yttria. Appl. Opt. 21, 2978-2981 (1982)

Cite

D. L. Wood and K. Nassau. Refractive index of cubic zirconia stabilized with yttria. Applied Optics, 21, 2978 (1982), doi:10.1364/ao.21.002978; 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
ZrO2 (Zirconium dioxide, Zirconia), Wood and Nassau 1982: Cubic zirconia stabilized with yttria; n 0.361–5.14 µm: n and k versus wavelength
λ (µm)n
0.3612.253619
0.363412.251352
0.3658362.249127
0.3682792.246945
0.3707372.244802
0.3732132.2427
0.3757042.240636
0.3782122.23861
0.3807382.23662
0.3832792.234667
0.3858382.23275
0.3884142.230866
0.3910072.229016
0.3936182.2272
0.3962462.225415
0.3988912.223662
0.4015542.22194
0.4042352.220247
0.4069342.218585
0.4096512.216951
0.4123852.215345
0.4151392.213767
0.417912.212216
0.42072.210692
0.4235092.209193
0.4263362.20772
0.4291832.206271
0.4320482.204847
0.4349322.203447
0.4378362.20207
0.4407592.200716
0.4437022.199384
0.4466642.198074
0.4496462.196786
0.4526482.195519
0.455672.194272
0.4587122.193046
0.4617752.19184
0.4648582.190653
0.4679612.189485
0.4710852.188335
0.474232.187205
0.4773962.186092
0.4805842.184996
0.4837922.183919
0.4870222.182858
0.4902732.181813
0.4935472.180785
0.4968422.179774
0.5001592.178777
0.5034982.177797
0.5068592.176831
0.5102432.17588
0.513652.174944
0.5170792.174022
0.5205312.173115
0.5240062.172221
0.5275052.17134
0.5310262.170473
0.5345722.169619
0.538142.168778
0.5417332.167949
0.545352.167133
0.5489912.166329
0.5526562.165537
0.5563462.164756
0.560062.163987
0.5637992.16323
0.5675632.162483
0.5713522.161747
0.5751672.161022
0.5790072.160308
0.5828722.159604
0.5867642.15891
0.5906812.158225
0.5946242.157551
0.5985942.156887
0.6025912.156231
0.6066142.155586
0.6106642.154949
0.614742.154321
0.6188452.153702
0.6229762.153092
0.6271352.15249
0.6313222.151897
0.6355372.151311
0.639782.150734
0.6440512.150165
0.6483512.149604
0.652682.14905
0.6570372.148504
0.6614242.147965
0.6658392.147434
0.6702852.146909
0.674762.146392
0.6792652.145882
0.6837992.145378
0.6883652.144881
0.692962.144391
0.6975872.143907
0.7022442.143429
0.7069322.142958
0.7116522.142493
0.7164032.142033
0.7211862.14158
0.7260012.141132
0.7308482.140691
0.7357272.140254
0.7406392.139824
0.7455832.139398
0.7505612.138978
0.7555722.138564
0.7606162.138154
0.7656942.13775
0.7708062.13735
0.7759522.136955
0.7811332.136565
0.7863482.13618
0.7915982.135799
0.7968832.135423
0.8022032.135052
0.8075582.134684
0.812952.134321
0.8183772.133963
0.8238412.133608
0.8293412.133258
0.8348782.132911
0.8404522.132568
0.8460632.13223
0.8517112.131895
0.8573972.131563
0.8631222.131236
0.8688842.130912
0.8746852.130591
0.8805242.130274
0.8864032.12996
0.8923212.12965
0.8982782.129343
0.9042752.129039
0.9103122.128738
0.916392.12844
0.9225082.128145
0.9286672.127853
0.9348672.127564
0.9411082.127278
0.9473912.126994
0.9537162.126714
0.9600832.126436
0.9664932.12616
0.9729462.125887
0.9794412.125617
0.985982.125349
0.9925632.125083
0.9991892.12482
1.005862.124559
1.012582.1243
1.019342.124043
1.026142.123788
1.032992.123536
1.039892.123285
1.046832.123037
1.053822.12279
1.060862.122546
1.067942.122303
1.075072.122062
1.082242.121822
1.089472.121584
1.096742.121348
1.104072.121114
1.111442.120881
1.118862.12065
1.126332.12042
1.133852.120191
1.141422.119964
1.149042.119738
1.156712.119513
1.164432.11929
1.17222.119068
1.180032.118847
1.187912.118627
1.195842.118408
1.203822.118191
1.211862.117974
1.219952.117758
1.228092.117543
1.236292.117329
1.244552.117116
1.252862.116903
1.261222.116692
1.269642.116481
1.278122.11627
1.286652.11606
1.295242.115851
1.303892.115643
1.312592.115435
1.321362.115227
1.330182.11502
1.339062.114813
1.3482.114607
1.3572.114401
1.366062.114195
1.375182.113989
1.384362.113784
1.39362.113579
1.40292.113373
1.412272.113168
1.42172.112963
1.431192.112758
1.440752.112553
1.450362.112348
1.460052.112143
1.469792.111938
1.479612.111732
1.489492.111527
1.499432.111321
1.509442.111114
1.519522.110908
1.529662.110701
1.539872.110493
1.550152.110285
1.56052.110077
1.570922.109868
1.581412.109659
1.591972.109449
1.60262.109238
1.61332.109027
1.624072.108815
1.634912.108602
1.645822.108388
1.656812.108174
1.667872.107958
1.679012.107742
1.690222.107525
1.70152.107306
1.712862.107087
1.72432.106867
1.735812.106645
1.74742.106423
1.759062.106199
1.770812.105974
1.782632.105747
1.794532.105519
1.806512.10529
1.818572.10506
1.830712.104828
1.842942.104594
1.855242.104359
1.867632.104123
1.880092.103884
1.892652.103645
1.905282.103403
1.9182.10316
1.930812.102914
1.94372.102667
1.956672.102418
1.969742.102167
1.982892.101914
1.996132.10166
2.009452.101402
2.022872.101143
2.036372.100882
2.049972.100618
2.063652.100352
2.077432.100084
2.09132.099814
2.105262.09954
2.119322.099265
2.133472.098987
2.147712.098706
2.162052.098423
2.176482.098137
2.191012.097848
2.205642.097556
2.220372.097262
2.235192.096964
2.250112.096664
2.265142.096361
2.280262.096054
2.295482.095745
2.310812.095432
2.326232.095116
2.341762.094796
2.35742.094473
2.373142.094147
2.388982.093817
2.404932.093484
2.420992.093147
2.437152.092806
2.453422.092462
2.46982.092113
2.486292.091761
2.502892.091405
2.51962.091045
2.536422.09068
2.553352.090312
2.57042.089939
2.587562.089562
2.604832.08918
2.622222.088794
2.639732.088403
2.657352.088008
2.67512.087608
2.692962.087204
2.710932.086794
2.729032.08638
2.747252.08596
2.765592.085535
2.784062.085106
2.802642.08467
2.821362.08423
2.840192.083784
2.859152.083333
2.878242.082875
2.897462.082413
2.91682.081944
2.936272.081469
2.955882.080989
2.975612.080502
2.995482.080009
3.015482.07951
3.035612.079005
3.055872.078493
3.076282.077974
3.096812.077449
3.117492.076916
3.13832.076377
3.159252.075831
3.180352.075278
3.201582.074717
3.222952.074149
3.244472.073574
3.266132.072991
3.287942.0724
3.309892.071801
3.331982.071195
3.354232.07058
3.376622.069957
3.399172.069325
3.421862.068686
3.44472.068037
3.46772.06738
3.490852.066714
3.514162.066038
3.537622.065354
3.561242.06466
3.585012.063957
3.608952.063244
3.633042.062521
3.65732.061788
3.681712.061046
3.706292.060293
3.731042.059529
3.755952.058755
3.781022.05797
3.806272.057174
3.831682.056367
3.857262.055549
3.883012.054719
3.908932.053878
3.935032.053025
3.96132.052159
3.987752.051282
4.014372.050392
4.041172.049489
4.068152.048574
4.095312.047645
4.122652.046704
4.150182.045748
4.177882.04478
4.205782.043797
4.233862.0428
4.262122.041789
4.290582.040763
4.319222.039722
4.348062.038666
4.377092.037595
4.406312.036508
4.435732.035406
4.465342.034287
4.495152.033152
4.525162.032
4.555372.030831
4.585792.029645
4.61642.028442
4.647222.027221
4.678252.025982
4.709482.024724
4.740922.023448
4.772572.022152
4.804442.020838
4.836512.019503
4.86882.018149
4.901312.016774
4.934032.015379
4.966972.013962
5.000132.012524
5.033512.011064
5.067122.009583
5.100942.008078
5.1352.006551

Optical transmission calculator

Free-standing sample in vacuum, normal incidence
Method
Transmittance T
—
Reflectance R
—

Fresnel reflection calculator

Direction
Rp
—
Rs
—
R = (Rp+Rs)/2
—
Phase φp
—
Phase φs
—
Brewster angle θB
—
Critical angle θC
—