Optical constants

Refractive index of Ar (Argon)

Grace et al 2017: Solid at 20 K; n 0.117–0.660 µm

Data
formula 1
Range
0.117–0.66 µm
Temperature
20 K
State
solid
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.117–0.66 µm
Refractive index n
1.30745
Extinction coefficient k
0
Permittivity ε1
1.70942
Permittivity ε2
0
Absorption coefficient α
0 cm⁻¹
Penetration depth δ = λ/(2πk)
— nm
Abbe number Vd
103.32
Chromatic dispersion dn/dλ
-0.0155137 µm⁻¹
Group index ng
1.31656
Group velocity dispersion
22.0803 fs²/mm
Dispersion parameter D
-120.46 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

# Ar (Argon): Grace et al 2017: Solid at 20 K; n 0.117–0.660 µm
ar = ls.fetch_refractiveindex("main", "Ar", "Grace-solid-20K", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ar.range_nm)  # (117, 660) nm
eps = ar.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=0.4+0.3λ2λ2−0.10662+0.0011λ2λ2−0.90832

Valid from 0.117 to 0.66 µm.

Coefficients as stored
CiValue
C10.4
C20.3
C30.1066
C40.0011
C50.9083

Comments and conditions

Solid argon at 20 K (-253.15 °C).

Conditions

temperature
20 K

References

E. Grace, A. Butcher, J. Monroe, J. A. Nikkel. Index of refraction, Rayleigh scattering length, and Sellmeier coefficients in solid and liquid argon and xenon. Nucl. Instr. Meth. Phys. Res. A 867, 204-208 (2017)
  • doi:10.1016/j.nima.2017.06.031 Index of refraction, Rayleigh scattering length, and Sellmeier coefficients in solid and liquid argon and xenon, Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment (2017)

Cite

Emily Grace, Alistair Butcher, Jocelyn Monroe and James A. Nikkel. Index of refraction, Rayleigh scattering length, and Sellmeier coefficients in solid and liquid argon and xenon. Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, 867, 204-208 (2017), doi:10.1016/j.nima.2017.06.031; 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
Ar (Argon), Grace et al 2017: Solid at 20 K; n 0.117–0.660 µm: n and k versus wavelength
λ (µm)n
0.1171.779317
0.1175081.759111
0.1180191.740427
0.1185321.723097
0.1190471.706977
0.1195641.691943
0.1200841.677888
0.1206061.664718
0.121131.652353
0.1216561.640718
0.1221851.629753
0.1227161.619399
0.1232491.609607
0.1237841.600333
0.1243221.591535
0.1248631.583179
0.1254051.575232
0.125951.567664
0.1264971.560449
0.1270471.553563
0.1275991.546984
0.1281541.540692
0.1287111.534669
0.129271.528898
0.1298321.523363
0.1303961.51805
0.1309621.512947
0.1315311.508041
0.1321031.503321
0.1326771.498777
0.1332541.494399
0.1338331.490179
0.1344141.486108
0.1349981.482178
0.1355851.478383
0.1361741.474716
0.1367661.47117
0.137361.46774
0.1379571.464419
0.1385561.461204
0.1391591.458089
0.1397631.45507
0.1403711.452142
0.1409811.449302
0.1415931.446545
0.1422081.443869
0.1428261.441269
0.1434471.438742
0.144071.436287
0.1446961.433899
0.1453251.431576
0.1459571.429315
0.1465911.427115
0.1472281.424972
0.1478681.422885
0.148511.420852
0.1491561.41887
0.1498041.416938
0.1504551.415054
0.1511091.413216
0.1517651.411422
0.1524251.409672
0.1530871.407963
0.1537521.406295
0.154421.404665
0.1550911.403073
0.1557651.401517
0.1564421.399997
0.1571221.39851
0.1578051.397056
0.158491.395635
0.1591791.394244
0.1598711.392883
0.1605661.391551
0.1612631.390247
0.1619641.388971
0.1626681.387721
0.1633751.386497
0.1640851.385298
0.1647981.384124
0.1655141.382973
0.1662331.381845
0.1669551.380739
0.1676811.379655
0.1684091.378592
0.1691411.377549
0.1698761.376527
0.1706141.375524
0.1713561.37454
0.17211.373574
0.1728481.372626
0.1735991.371696
0.1743541.370783
0.1751111.369887
0.1758721.369006
0.1766371.368142
0.1774041.367292
0.1781751.366458
0.1789491.365639
0.1797271.364834
0.1805081.364042
0.1812921.363265
0.182081.362501
0.1828711.361749
0.1836661.361011
0.1844641.360285
0.1852661.359571
0.1860711.358868
0.1868791.358178
0.1876911.357499
0.1885071.35683
0.1893261.356173
0.1901491.355526
0.1909751.35489
0.1918051.354263
0.1926381.353647
0.1934751.35304
0.1943161.352443
0.1951611.351855
0.1960091.351276
0.196861.350706
0.1977161.350145
0.1985751.349593
0.1994381.349048
0.2003041.348512
0.2011751.347984
0.2020491.347464
0.2029271.346952
0.2038091.346447
0.2046941.34595
0.2055841.34546
0.2064771.344977
0.2073751.344501
0.2082761.344032
0.2091811.34357
0.210091.343114
0.2110031.342665
0.211921.342222
0.212841.341785
0.2137651.341355
0.2146941.34093
0.2156271.340512
0.2165641.340099
0.2175051.339692
0.218451.33929
0.21941.338895
0.2203531.338504
0.221311.338119
0.2222721.337739
0.2232381.337364
0.2242081.336994
0.2251821.336629
0.2261611.336269
0.2271441.335913
0.2281311.335563
0.2291221.335217
0.2301181.334875
0.2311181.334538
0.2321221.334206
0.2331311.333877
0.2341441.333553
0.2351611.333233
0.2361831.332917
0.2372091.332605
0.238241.332298
0.2392751.331994
0.2403151.331694
0.2413591.331397
0.2424081.331105
0.2434611.330816
0.2445191.33053
0.2455821.330249
0.2466491.32997
0.2477211.329695
0.2487971.329424
0.2498781.329156
0.2509641.328891
0.2520551.328629
0.253151.328371
0.254251.328116
0.2553551.327863
0.2564651.327614
0.2575791.327368
0.2586981.327125
0.2598231.326884
0.2609521.326647
0.2620861.326412
0.2632241.32618
0.2643681.325951
0.2655171.325724
0.2666711.325501
0.267831.325279
0.2689931.325061
0.2701621.324845
0.2713361.324631
0.2725151.32442
0.27371.324211
0.2748891.324005
0.2760831.323801
0.2772831.3236
0.2784881.3234
0.2796981.323203
0.2809141.323009
0.2821341.322816
0.283361.322626
0.2845921.322437
0.2858281.322251
0.287071.322067
0.2883181.321885
0.2895711.321705
0.2908291.321528
0.2920931.321352
0.2933621.321178
0.2946371.321005
0.2959171.320835
0.2972031.320667
0.2984941.320501
0.2997911.320336
0.3010941.320173
0.3024031.320012
0.3037171.319853
0.3050361.319695
0.3063621.319539
0.3076931.319385
0.309031.319233
0.3103731.319082
0.3117221.318932
0.3130761.318785
0.3144371.318639
0.3158031.318494
0.3171751.318351
0.3185541.31821
0.3199381.31807
0.3213281.317931
0.3227251.317794
0.3241271.317659
0.3255351.317525
0.326951.317392
0.3283711.31726
0.3297981.31713
0.3312311.317002
0.332671.316875
0.3341161.316749
0.3355671.316624
0.3370261.316501
0.338491.316378
0.3399611.316258
0.3414381.316138
0.3429221.31602
0.3444121.315903
0.3459091.315787
0.3474121.315672
0.3489221.315558
0.3504381.315446
0.3519611.315335
0.353491.315224
0.3550261.315115
0.3565691.315007
0.3581181.314901
0.3596741.314795
0.3612371.31469
0.3628071.314586
0.3643841.314484
0.3659671.314382
0.3675571.314282
0.3691541.314182
0.3707591.314083
0.372371.313986
0.3739881.313889
0.3756131.313793
0.3772451.313699
0.3788841.313605
0.3805311.313512
0.3821841.31342
0.3838451.313329
0.3855131.313239
0.3871881.313149
0.3888711.313061
0.3905611.312973
0.3922581.312886
0.3939621.3128
0.3956741.312715
0.3973941.312631
0.399121.312548
0.4008551.312465
0.4025971.312383
0.4043461.312302
0.4061031.312222
0.4078681.312142
0.409641.312063
0.411421.311985
0.4132081.311908
0.4150041.311832
0.4168071.311756
0.4186181.311681
0.4204371.311606
0.4222641.311532
0.4240991.311459
0.4259421.311387
0.4277931.311315
0.4296521.311244
0.4315191.311174
0.4333941.311104
0.4352771.311035
0.4371691.310967
0.4390681.310899
0.4409761.310832
0.4428931.310765
0.4448171.310699
0.446751.310634
0.4486911.310569
0.4506411.310505
0.4525991.310441
0.4545661.310378
0.4565411.310316
0.4585251.310254
0.4605181.310192
0.4625191.310132
0.4645291.310071
0.4665471.310012
0.4685751.309952
0.4706111.309894
0.4726561.309835
0.474711.309778
0.4767731.309721
0.4788441.309664
0.4809251.309608
0.4830151.309552
0.4851141.309497
0.4872221.309442
0.4893391.309388
0.4914651.309334
0.4936011.309281
0.4957461.309228
0.49791.309175
0.5000641.309123
0.5022371.309072
0.5044191.30902
0.5066111.30897
0.5088121.308919
0.5110231.308869
0.5132441.30882
0.5154741.308771
0.5177141.308722
0.5199641.308673
0.5222231.308626
0.5244931.308578
0.5267721.308531
0.5290611.308484
0.531361.308437
0.5336691.308391
0.5359881.308345
0.5383171.3083
0.5406561.308255
0.5430061.30821
0.5453651.308166
0.5477351.308121
0.5501151.308078
0.5525061.308034
0.5549071.307991
0.5573181.307948
0.559741.307906
0.5621721.307863
0.5646151.307821
0.5670681.307779
0.5695321.307738
0.5720071.307697
0.5744931.307656
0.5769891.307615
0.5794971.307575
0.5820151.307535
0.5845441.307495
0.5870841.307455
0.5896351.307416
0.5921971.307376
0.5947711.307337
0.5973551.307299
0.5999511.30726
0.6025581.307222
0.6051761.307183
0.6078061.307145
0.6104471.307107
0.61311.30707
0.6157641.307032
0.618441.306995
0.6211271.306958
0.6238261.306921
0.6265371.306884
0.629261.306847
0.6319941.30681
0.634741.306774
0.6374981.306737
0.6402691.306701
0.6430511.306664
0.6458451.306628
0.6486521.306592
0.651471.306556
0.6543011.30652
0.6571441.306484
0.661.306448

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
—