Optical constants

Refractive index of MgO (Magnesium monoxide)

Synowicki and Tiwald 2004: n,k 0.13–33 µm

Data
tabulated nk
Range
0.1301–33 µm
Points
400
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.1301–33 µm
Refractive index n
2.64389
Extinction coefficient k
9.91706e-06
Permittivity ε1
6.99014
Permittivity ε2
5.24392e-05
Absorption coefficient α
2.12086 cm⁻¹
Penetration depth δ = λ/(2πk)
9.43016e+06 nm
Abbe number Vd
—
Chromatic dispersion dn/dλ
-1.1668 µm⁻¹
Group index ng
3.3295
Group velocity dispersion
— fs²/mm
Dispersion parameter D
— 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

# MgO (Magnesium monoxide): Synowicki and Tiwald 2004: n,k 0.13–33 µm
mgo = ls.fetch_refractiveindex("main", "MgO", "Synowicki", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(mgo.range_nm)  # (130.1, 33000) nm
eps = mgo.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.

Comments and conditions

Data generated from oscillator model.

References

R.A. Synowicki and T. E. Tiwald. Optical properties of bulk c-ZrO2, c-MgO and a-As2S3 determined by variable angle spectroscopic ellipsometry. Thin Solid Films 455-456, 248-255 (2004)
Calculation scripts (Python): Synowicki 2004 - As2S3.py, Synowicki 2004 - Aux funcs.py
  • doi:10.1016/j.tsf.2004.02.028 Optical properties of bulk c-ZrO2, c-MgO and a-As2S3 determined by variable angle spectroscopic ellipsometry, Thin Solid Films (2004)

Cite

R.A. Synowicki and Thomas E. Tiwald. Optical properties of bulk c-ZrO2, c-MgO and a-As2S3 determined by variable angle spectroscopic ellipsometry. Thin Solid Films, 455-456, 248-255 (2004), doi:10.1016/j.tsf.2004.02.028; Calculation scripts (Python): Synowicki 2004 - As2S3.py, Synowicki 2004 - Aux funcs.py; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

400 rows as published
MgO (Magnesium monoxide), Synowicki and Tiwald 2004: n,k 0.13–33 µm: n and k versus wavelength
λ (µm)nk
0.13011.48031.1909
0.130711.4891.1865
0.131321.49761.1818
0.131941.5061.1768
0.132561.51411.1714
0.133191.5221.1656
0.133821.52951.1596
0.134471.53671.1532
0.135111.54361.1465
0.135771.55011.1394
0.136431.55611.1321
0.13711.56161.1246
0.137771.56661.1168
0.138451.57111.1087
0.139141.5751.1005
0.139831.57831.0922
0.140531.58091.0837
0.141241.58281.0752
0.141961.5841.0667
0.142681.58451.0583
0.143411.58421.0499
0.144141.58321.0418
0.144891.58131.0339
0.145641.57871.0263
0.14641.57521.0192
0.147171.5711.0125
0.147951.5661.0064
0.148731.56031.001
0.149531.55390.99634
0.150331.54680.9925
0.151141.53920.98957
0.151961.53110.98763
0.152791.52250.98675
0.153621.51360.987
0.154471.50450.98843
0.155321.49520.99109
0.156191.48590.99502
0.157061.47681.0002
0.157951.46781.0067
0.158841.45931.0146
0.159751.45121.0236
0.160671.44391.0339
0.161591.43721.0454
0.162531.43151.058
0.163481.42691.0717
0.164431.42341.0862
0.16541.42111.1016
0.166391.42031.1176
0.167381.4211.1341
0.168381.42351.1509
0.16941.42741.1671
0.170431.43241.1829
0.171471.43841.1984
0.172531.44511.2136
0.17361.45271.2285
0.174681.4611.2431
0.175771.471.2574
0.176881.47981.2713
0.178011.49021.285
0.179141.50131.2983
0.18031.5131.3112
0.181461.52521.3238
0.182641.53811.336
0.183841.55151.3477
0.185061.56541.359
0.186281.57991.3699
0.187531.59471.3803
0.188791.611.3902
0.190071.62571.3997
0.191371.64171.4087
0.192691.6581.4172
0.194021.67461.4252
0.195371.69151.4327
0.196741.70851.4398
0.198131.72581.4465
0.199541.74321.4527
0.200971.76071.4584
0.202421.77831.4639
0.20391.7961.4689
0.205391.81371.4736
0.206911.83161.4781
0.208441.84941.4823
0.211.86741.4863
0.211591.88541.4901
0.21321.90351.4938
0.214831.92171.4974
0.216491.94011.5009
0.218181.95861.5044
0.219891.97741.5078
0.221631.99661.5112
0.223392.0161.5146
0.225192.0361.518
0.227012.05641.5214
0.228862.07731.5246
0.230742.09891.5277
0.232662.12121.5306
0.234612.14421.5333
0.236592.1681.5356
0.23862.19261.5375
0.240652.21811.5388
0.242732.24431.5395
0.244852.27141.5394
0.247012.29921.5384
0.24922.32781.5365
0.251442.35711.5334
0.253712.3871.5293
0.256032.41731.5238
0.258392.44811.517
0.260792.47921.5089
0.263242.51051.4994
0.265742.54191.4884
0.268282.57321.4759
0.270872.60441.462
0.273512.63531.4467
0.276212.66581.43
0.278962.69591.4119
0.281762.72551.3925
0.284622.75441.3719
0.287542.78271.35
0.290522.81031.327
0.293562.83711.3029
0.296672.86311.2777
0.299842.88831.2516
0.303082.91261.2244
0.306392.93611.1964
0.309782.95871.1674
0.313242.98031.1375
0.316783.00111.1068
0.32043.02081.0753
0.32413.03961.0429
0.327893.05731.0096
0.331773.07390.97556
0.335743.08940.94068
0.339813.10360.90501
0.343983.11660.86855
0.348263.12820.83136
0.352643.13830.79346
0.357133.14690.7549
0.361733.15390.71575
0.366463.15920.67608
0.371323.16270.63598
0.37633.16420.59554
0.381423.16380.5549
0.386683.16140.51417
0.392093.15680.4735
0.397653.150.43305
0.403373.1410.39298
0.409263.12980.35349
0.415323.11620.31476
0.421563.10040.27703
0.4283.08230.2405
0.434633.06190.20542
0.441483.03930.17204
0.448543.01470.14064
0.455832.9880.11151
0.463372.95960.084957
0.471152.92950.061309
0.479212.89820.040926
0.487542.8660.024187
0.496172.83340.011498
0.50512.80130.0032986
0.514372.77115.0297e-05
0.523982.74599.3842e-06
0.533962.72427.7107e-06
0.544332.70467.6778e-06
0.555112.68688.9396e-06
0.566322.67031.0481e-05
0.577992.65511.0956e-05
0.590162.64099.6403e-06
0.602852.62757.018e-06
0.61612.6154.2663e-06
0.629942.60322.2646e-06
0.644422.5921.1713e-06
0.659582.58156.988e-07
0.675472.57155.2363e-07
0.692142.5624.5728e-07
0.709662.5534.2419e-07
0.728092.54444.0126e-07
0.74752.53633.8239e-07
0.767982.52863.6574e-07
0.789612.52123.5053e-07
0.812492.51423.3627e-07
0.836742.50753.227e-07
0.862482.50113.0962e-07
0.889852.4952.9693e-07
0.919022.48922.8457e-07
0.950162.48372.7248e-07
0.983492.47842.6065e-07
1.01922.47342.4905e-07
1.05772.46872.3769e-07
1.09922.46422.2655e-07
1.1442.45992.1563e-07
1.19272.45582.0492e-07
1.24572.45191.9442e-07
1.30362.44831.8414e-07
1.36712.44481.7405e-07
1.43722.44151.6417e-07
1.51492.43851.5447e-07
1.60142.43561.4497e-07
1.69842.43291.3565e-07
1.72.43281.3551e-07
1.85732.42921.2279e-07
2.01462.42641.123e-07
2.17192.42411.035e-07
2.32912.42239.6015e-08
2.48642.42078.9558e-08
2.64372.41948.3932e-08
2.8012.41827.8985e-08
2.95832.41727.4598e-08
3.11562.41637.0682e-08
3.27292.41556.7163e-08
3.43022.41476.3984e-08
3.58742.4146.1096e-08
3.74472.41335.8462e-08
3.9022.41275.6049e-08
4.05932.41215.383e-08
4.21662.41155.1783e-08
4.37392.41094.9888e-08
4.53122.41034.8128e-08
4.68842.40984.6491e-08
4.84572.40924.4962e-08
5.0032.40874.3533e-08
5.16032.40814.2192e-08
5.31762.40754.0933e-08
5.47492.4073.9748e-08
5.63222.40643.8631e-08
5.78942.40583.7576e-08
5.94672.40533.6578e-08
6.1042.40473.5633e-08
6.26132.40413.4735e-08
6.41862.40353.3883e-08
6.57592.40293.3073e-08
6.73322.40223.2301e-08
6.89052.40163.1564e-08
7.04772.40093.0862e-08
7.2052.40033.019e-08
7.36232.39962.9548e-08
7.51962.39892.8934e-08
7.67692.39822.8345e-08
7.83422.39742.778e-08
7.99152.39672.7237e-08
8.14872.39592.6716e-08
8.3062.39522.6215e-08
8.46332.39442.5734e-08
8.62062.39362.527e-08
8.77792.39272.4823e-08
8.93522.39192.4392e-08
9.09252.3912.3976e-08
9.24972.39012.3575e-08
9.4072.38922.3188e-08
9.56432.38832.2813e-08
9.72162.38742.2451e-08
9.87892.38642.2101e-08
10.0362.38542.1762e-08
10.1932.38442.1434e-08
10.3512.38342.1116e-08
10.5082.38232.0808e-08
10.6652.38122.0509e-08
10.8232.38012.0219e-08
10.982.3791.9938e-08
11.1372.37781.9665e-08
11.2942.37661.94e-08
11.4522.37541.9142e-08
11.6092.37421.8892e-08
11.7662.37291.8648e-08
11.9242.37161.8411e-08
12.0812.37031.8181e-08
12.2382.36891.7957e-08
12.3952.36751.7739e-08
12.5532.36611.7527e-08
12.712.36471.732e-08
12.8672.36321.7118e-08
13.0252.36161.6922e-08
13.1822.36011.673e-08
13.3392.35851.6544e-08
13.4962.35681.6362e-08
13.6542.35521.6184e-08
13.8112.35341.6011e-08
13.9682.35171.5842e-08
14.1262.34991.5678e-08
14.2832.3481.5517e-08
14.442.34611.536e-08
14.5972.34421.5207e-08
14.7552.34221.5057e-08
14.9122.34021.4911e-08
15.0692.33811.4768e-08
15.2272.3361.4628e-08
15.3842.33381.4492e-08
15.5412.33151.4359e-08
15.6982.32921.4229e-08
15.8562.32681.4102e-08
16.0132.32441.3978e-08
16.172.32191.3857e-08
16.3282.31931.3738e-08
16.4852.31671.3622e-08
16.6422.3141.3509e-08
16.7992.31121.3399e-08
16.9572.30831.3291e-08
17.1142.30541.3185e-08
17.2712.30231.3082e-08
17.4292.29921.2981e-08
17.5862.2961.2883e-08
17.7432.29271.2787e-08
17.9012.28931.2694e-08
18.0582.28571.2602e-08
18.2152.28211.2514e-08
18.3722.27841.2428e-08
18.532.27451.2347e-08
18.6872.27051.2276e-08
18.8442.26641.2227e-08
19.0022.26211.2234e-08
19.1592.25771.2384e-08
19.3162.25321.288e-08
19.4732.24841.4197e-08
19.6312.24361.7394e-08
19.7882.23852.4777e-08
19.9452.23324.1116e-08
20.1032.22777.6072e-08
20.262.2221.4853e-07
20.4172.21612.9425e-07
20.5742.215.7967e-07
20.7322.20351.1237e-06
20.8892.19682.1313e-06
21.0462.18983.9579e-06
21.2042.18247.1839e-06
21.3612.17471.2746e-05
21.5182.16672.213e-05
21.6752.15813.7627e-05
21.8332.14926.2702e-05
21.992.13970.00010246
22.1472.12970.00016426
22.3052.1190.00025845
22.4622.10760.00039984
22.6192.09550.00060833
22.7762.08250.00091141
22.9342.06850.0013466
23.0912.05330.001969
23.2482.03680.002857
23.4062.01880.0041351
23.5631.99890.0060043
23.721.97690.0087905
23.8771.95250.013005
24.0351.92530.019403
24.1921.89540.029014
24.3491.86310.043088
24.5071.82940.06293
24.6641.7960.089688
24.8211.76530.12369
24.9781.73980.16423
25.1361.72210.20925
25.2931.71340.25554
25.451.71320.29956
25.6081.71970.33827
25.7651.72960.37001
25.9221.73960.39466
26.0791.74690.41344
26.2371.74930.42851
26.3941.7460.44255
26.5511.73730.45811
26.7091.72410.47738
26.8661.70820.50186
27.0231.69150.53232
27.181.67610.56871
27.3381.66370.61031
27.4951.65550.65596
27.6521.65210.70435
27.811.65380.7542
27.9671.66020.80433
28.1241.67090.85388
28.2811.68540.90225
28.4391.70280.94904
28.5961.72260.99406
28.7531.7441.0373
28.9111.76641.0789
29.0681.78911.1193
29.2251.81151.1591
29.3821.83311.1992
29.541.85371.2408
29.6971.87361.2854
29.8541.89361.3347
30.0121.91551.39
30.1691.94151.4525
30.3261.97481.5224
30.4832.01881.5986
30.6412.07671.6788
30.7982.15091.7596
30.9552.24241.8364
31.1132.35111.9048
31.272.47521.9604
31.4272.61191.9995
31.5842.75762.0193
31.7422.90822.0183
31.8993.05941.9955
32.0563.20671.951
32.2143.34621.8867
32.3713.47471.8048
32.5283.58871.7071
32.6853.68661.5977
32.8433.76741.4797
33.03.82931.3563

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
—