Optical constants

Refractive index of Au (Gold)

Magnozzi et al. 2019: n,k 0.252–1.45 µm; 225 °C

Data
tabulated nk
Range
0.2516–1.449 µm
Points
601
Temperature
498 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.2516–1.449 µm
Refractive index n
0.257526
Extinction coefficient k
2.99869
Permittivity ε1
-8.92584
Permittivity ε2
1.54449
Absorption coefficient α
641298 cm⁻¹
Penetration depth δ = λ/(2πk)
31.1867 nm
Abbe number Vd
—
Chromatic dispersion dn/dλ
-0.828931 µm⁻¹
Group index ng
0.744606
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

# Au (Gold): Magnozzi et al. 2019: n,k 0.252–1.45 µm; 225 °C
au = ls.fetch_refractiveindex("main", "Au", "Magnozzi-225C", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(au.range_nm)  # (251.57, 1449.2) nm
eps = au.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

Optically-thick and morphologically-flat Au film at 225 °C.

Conditions

temperature
498 K

References

M. Magnozzi, M. Ferrera, L. Mattera, M. Canepa, F. Bisio. Plasmonics of Au nanoparticles in a hot thermodynamic bath. Nanoscale, 11, 1140–1146 (2019) (Numerical data kindly provided by Michele Magnozzi)

Cite

Michele Magnozzi, Marzia Ferrera, Lorenzo Mattera, Maurizio Canepa and Francesco Bisio. Plasmonics of Au nanoparticles in a hot thermodynamic bath. Nanoscale, 11, 1140-1146 (2019), doi:10.1039/c8nr09038f; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

601 rows as published
Au (Gold), Magnozzi et al. 2019: n,k 0.252–1.45 µm; 225 °C: n and k versus wavelength
λ (µm)nk
0.251571.291311.615922
0.253161.3019961.643554
0.254751.2897721.673988
0.256341.3119661.672643
0.257931.3070391.693448
0.259531.3167371.703597
0.261121.3263161.716883
0.262711.3253721.734191
0.26431.339481.74521
0.265891.34281.763733
0.267491.3522151.778697
0.269081.3640141.788379
0.270671.3676741.804861
0.272261.379081.81692
0.273861.3878621.830331
0.275451.4024991.842547
0.277041.4080741.858369
0.278631.4225591.868306
0.280231.4319311.878775
0.281821.4422871.890449
0.283411.4548231.897856
0.2851.4639461.906888
0.28661.4760911.913236
0.288191.4918351.919192
0.289781.4998721.926328
0.291381.5161431.930873
0.292971.5200141.937513
0.294561.5341321.940247
0.296161.5461341.9426
0.297751.5566071.9447
0.299341.566011.946631
0.300941.5745481.948417
0.302531.5825391.950093
0.304121.5902261.951672
0.305721.5976581.953122
0.307311.6049891.954433
0.30891.6123291.95558
0.31051.6196231.956516
0.312091.6269731.957215
0.313691.6342771.957634
0.315281.6415541.957745
0.316871.6488131.957516
0.318471.6559161.956927
0.320061.6628991.955951
0.321661.6696211.954589
0.323251.6760681.952832
0.324841.6822241.950666
0.326441.6879581.94813
0.328031.6932951.945206
0.329631.6981211.941955
0.331221.702461.938366
0.332821.7062241.934517
0.334411.7094351.930401
0.336011.7120311.926115
0.33761.7140241.921681
0.339191.7154131.917123
0.340791.7161831.91255
0.342381.7163511.90796
0.343981.7159281.903468
0.345571.714931.899072
0.347171.7133951.894882
0.348761.7113341.890897
0.350361.7088091.887217
0.351951.7058291.883841
0.353551.7024731.880853
0.355141.6987471.878251
0.356741.6947451.876099
0.358331.6904671.874394
0.359931.6860191.873174
0.361521.6813941.872435
0.363121.6767021.872188
0.364711.6719311.872427
0.366311.667191.873138
0.36791.6624621.87431
0.36951.6578471.875904
0.371091.6533251.877909
0.372691.6489821.880263
0.374281.6447941.882954
0.375881.640811.885921
0.377481.637071.889096
0.379071.6335391.892465
0.380671.6302681.895935
0.382261.6272181.899496
0.383861.6244221.903049
0.385451.6218361.906589
0.387051.6194821.910022
0.388641.6173131.913344
0.390241.6153231.916491
0.391841.6135011.919406
0.393431.61181.922093
0.395031.6102131.924489
0.396621.6086921.926603
0.398221.6072271.928392
0.399811.6057711.929866
0.401411.6043041.931009
0.403011.6028071.931817
0.40461.6012341.932307
0.40621.599581.932484
0.407791.59781.932367
0.409391.5958821.931975
0.410991.593821.931335
0.412581.5915721.930467
0.414181.5891511.929411
0.415771.5865151.928181
0.417371.5836871.926825
0.418961.5806251.925352
0.420561.577341.923799
0.422161.5738531.922201
0.423751.5701181.920559
0.425351.5661811.918908
0.426941.5619931.917239
0.428541.557581.915569
0.430141.5529721.913906
0.431731.548111.912222
0.433331.5430221.910513
0.434931.5377381.90877
0.436521.5321851.906945
0.438121.5264251.90503
0.439711.5203731.902966
0.441311.5140481.900728
0.442911.5074731.898293
0.44451.5005411.895595
0.44611.4933121.892636
0.447691.4856621.889353
0.449291.4776021.885745
0.450891.4691481.881835
0.452481.4601541.87758
0.454081.4506931.873062
0.455671.4406061.868266
0.457271.4299121.863287
0.458871.418651.858243
0.460461.4066491.853176
0.462061.3939571.84824
0.463661.3806491.843599
0.465251.3665551.839331
0.466851.3518671.835616
0.468441.3364241.83251
0.470041.3203561.830089
0.471641.3038161.828338
0.473231.286651.827089
0.474831.2691161.826051
0.476421.2510191.824684
0.478021.2324511.822164
0.479621.2134481.817321
0.481211.1935831.808388
0.482811.1723541.810326
0.48441.1482731.81173
0.4861.1244181.815305
0.48761.0947451.819874
0.489191.0652571.825092
0.490791.0375351.831224
0.492381.0115021.83763
0.493980.9915851.839875
0.495580.9706381.84625
0.497170.9467141.854257
0.498770.9195381.86349
0.500360.8904831.87643
0.501960.8631831.89214
0.503560.8314761.905752
0.505150.8060951.923085
0.506750.7802431.940602
0.508340.7563581.955858
0.509940.7334211.973644
0.511540.7135991.991789
0.513130.6960312.010288
0.514730.6760432.028635
0.516320.6576462.047162
0.517920.6390652.06881
0.519510.6173672.09083
0.521110.5981582.113609
0.522710.5782462.136346
0.52430.5592482.158438
0.52590.5437762.179289
0.527490.5293982.20162
0.529090.5179292.227398
0.530680.5040672.248686
0.532280.4938762.275204
0.533880.4815842.297087
0.535470.4696482.319975
0.537070.4575982.3435
0.538660.4438342.365996
0.540260.4325062.386688
0.541850.4206112.407574
0.543450.4118432.432062
0.545040.4023352.451282
0.546640.3921222.476842
0.548230.386652.496189
0.549830.3779282.520324
0.551420.373862.544998
0.553020.3660332.56887
0.554610.3611832.591429
0.556210.3536642.611319
0.55780.3458472.630831
0.55940.3386672.65037
0.560990.3308682.671216
0.562590.3260592.69125
0.564180.3198982.707681
0.565780.3135912.728163
0.567370.3087152.749177
0.568970.3052922.775343
0.570560.3019252.794225
0.572160.29422.818437
0.573750.2916832.841057
0.575350.2879842.859255
0.576940.2867062.880293
0.578540.2802642.897867
0.580130.2761652.917711
0.581730.2724092.935824
0.583320.2677232.951692
0.584910.2650822.96991
0.586510.258432.987425
0.58810.2571123.003861
0.58970.2482353.023701
0.591290.2489143.044635
0.592890.2481963.065885
0.594480.2460553.082261
0.596070.2412763.102916
0.597670.2376573.124274
0.599260.235033.14571
0.600860.2336363.165197
0.602450.2336623.17998
0.604040.2302963.197875
0.605640.2290533.215696
0.607230.2229313.228577
0.608820.2213523.240418
0.610420.2172773.257385
0.612010.2157443.277036
0.613610.2131193.289183
0.61520.2094673.306418
0.616790.2078373.326447
0.618390.2081563.347911
0.619980.2046383.366968
0.621570.2048713.384401
0.623160.2029973.405061
0.624760.2011233.424402
0.626350.1997293.440864
0.627940.1950873.458429
0.629540.195513.471944
0.631130.1927633.491846
0.632720.1931393.500959
0.634320.1881263.51817
0.635910.1896743.528832
0.63750.1834433.545528
0.639090.1850533.55942
0.640690.1838123.572806
0.642280.1765443.592989
0.643870.1809413.608538
0.645460.1760463.628022
0.647060.1743973.646616
0.648650.1741793.665245
0.650240.1710213.684199
0.651830.1716943.707159
0.653420.1718983.717895
0.655020.1697643.736324
0.656610.1692783.752253
0.65820.1643573.767713
0.659790.1662533.784531
0.661380.1647633.801667
0.662970.167273.814366
0.664570.1636593.82837
0.666160.1639493.838735
0.667750.163333.857039
0.669340.1525123.872555
0.670930.1599273.887966
0.672520.1562713.904119
0.674110.1568693.917438
0.67570.1547893.937264
0.67730.1564413.9534
0.678890.1527693.971758
0.680480.1503253.990165
0.682070.155134.010135
0.683660.1559214.023977
0.685250.1549374.042661
0.686840.155684.055733
0.688430.1557024.072687
0.690020.1561034.089724
0.691610.1588764.104819
0.69320.1552734.115561
0.694790.1497014.133199
0.696380.155194.148389
0.697970.1580414.160882
0.699560.152514.173905
0.701150.1573924.187387
0.702740.1526474.201475
0.704330.1488064.218562
0.705920.1522024.233355
0.707510.1580724.245071
0.70910.1572264.262265
0.710690.1549814.27659
0.712270.1537314.302196
0.713860.1562554.314397
0.715450.1554394.325802
0.717040.1629694.345107
0.718630.1532364.354
0.720220.1578934.366313
0.721810.1596674.390461
0.72340.1544034.406678
0.724980.1539314.421648
0.726570.1574874.427883
0.728160.1551674.448463
0.729750.1533154.458302
0.731340.1533754.475696
0.732920.1576924.490772
0.734510.1626554.497081
0.73610.1586944.505005
0.737690.1571144.52056
0.739280.1575354.540546
0.740860.1594834.551617
0.742450.1521344.560982
0.744040.157634.575328
0.745620.159584.594477
0.747210.1573064.607128
0.74880.160234.622991
0.750390.159564.634265
0.751970.1596534.649926
0.753560.1594624.674184
0.755150.1597794.683791
0.756730.1599214.698564
0.758320.1599764.716216
0.75990.1601644.729975
0.761490.1603214.744949
0.763080.1605334.75848
0.764660.1608594.768659
0.766250.161014.784325
0.767830.1612714.79674
0.769420.1618134.80109
0.7710.1619144.818559
0.772590.1622494.829375
0.774180.1624274.844988
0.775760.1626354.859742
0.777350.1633064.860964
0.778930.1635144.875979
0.780520.163684.89255
0.78210.1638314.909566
0.783680.1643014.91717
0.785270.1648034.924124
0.786850.1652264.933393
0.788440.1649884.962777
0.790020.1651794.979284
0.791610.1655674.990129
0.793190.1660324.998649
0.794770.1660975.019349
0.796360.1663275.035363
0.797940.1665475.051667
0.799520.1671195.05739
0.801110.1671695.079248
0.802690.1676615.087641
0.804270.1680415.099537
0.805860.1685035.109208
0.807440.1685055.132827
0.809020.1686715.151606
0.81060.1693335.155371
0.812190.1697995.165347
0.813770.1698345.188442
0.815350.1705475.190941
0.816930.1705385.215564
0.818520.1709835.226619
0.82010.1716515.230799
0.821680.1718945.248036
0.823260.1725035.254222
0.824840.1729515.265404
0.826420.1731965.28285
0.8280.1734375.300527
0.829590.1739275.310888
0.831170.1747715.310349
0.832750.1755125.31311
0.834330.1753555.343217
0.835910.1753985.367382
0.837490.1762095.368199
0.839070.1766355.380825
0.840650.1769925.395655
0.842230.177425.408409
0.843810.1775765.429539
0.845390.1785145.426899
0.846970.1783215.458839
0.848550.1785175.479003
0.850130.1790135.490053
0.851710.1790275.515969
0.853290.1798165.518152
0.854860.1802115.532335
0.856440.1805655.548048
0.858020.1812225.554485
0.85960.1816615.567705
0.861180.1820845.581482
0.862760.1824155.598154
0.864340.1830935.604243
0.865910.1839555.604662
0.867490.184465.616184
0.869070.1846695.636804
0.870650.185035.652865
0.872220.1856195.661829
0.87380.1862335.670286
0.875380.1864845.689854
0.876950.18695.704302
0.878530.1874545.714736
0.880110.1880925.722684
0.881680.1882485.745232
0.883260.1888595.754081
0.884840.1892015.771219
0.886410.1898985.777427
0.887990.1909085.774391
0.889570.1910795.796814
0.891140.1915615.80973
0.892720.1920585.822397
0.894290.1922135.845313
0.895870.1926095.86112
0.897440.1934565.863123
0.899020.193895.877903
0.900590.194485.887791
0.902170.1948285.905264
0.903740.1949045.930836
0.905310.1955735.938457
0.906890.1961795.948245
0.908460.1970075.951157
0.910040.1974915.964686
0.911610.1977935.983611
0.913180.1980716.003298
0.914760.1984166.021174
0.916330.1989016.034681
0.91790.1999846.030119
0.919480.2005996.039945
0.921050.200816.061819
0.922620.2015516.067739
0.924190.2020976.079565
0.925770.2027786.08758
0.927340.2035996.091254
0.928910.2040386.106418
0.930480.204956.107461
0.932050.20536.125349
0.933620.2054656.14877
0.935190.2060836.158698
0.936770.2065726.172699
0.938340.2068636.192474
0.939910.2077176.195454
0.941480.2079586.216776
0.943050.2084346.231093
0.944620.2089286.244887
0.946190.2095226.255764
0.947760.2105046.255093
0.949330.2109386.270759
0.95090.211576.280598
0.952470.2122346.289486
0.954040.2129786.296071
0.95560.2128046.329699
0.957170.2131796.347251
0.958740.2139326.353598
0.960310.2145356.364445
0.961880.2150386.378285
0.963450.2153226.398627
0.965010.2158666.411116
0.966580.2167286.414364
0.968150.2172116.428867
0.969720.2176096.445915
0.971280.2186376.444199
0.972850.2193266.452691
0.974420.2193956.479485
0.975990.2200026.490452
0.977550.2205276.503658
0.979120.2207866.524952
0.980680.221616.529368
0.982250.2225686.530101
0.983820.2233176.537001
0.985380.2237826.552088
0.986950.2247386.553006
0.988510.2248756.577706
0.990080.226016.573458
0.991640.2261246.59883
0.993210.2265646.614898
0.994770.2269036.633765
0.996340.2279746.631473
0.99790.2289226.632657
0.999460.2286846.668313
1.01170.2339866.740349
1.01510.2350826.771443
1.01850.2362556.800382
1.02190.2377086.821359
1.02540.2391686.84406
1.02880.2402176.876778
1.03220.2419276.890641
1.03560.2429296.924806
1.0390.2441756.952069
1.04250.2455586.977347
1.04590.2469317.001166
1.04930.247957.035056
1.05270.2495227.053337
1.05610.250677.083697
1.05950.2522467.10204
1.0630.2534037.134106
1.06640.2546267.162493
1.06980.2558917.189801
1.07320.2569147.223934
1.07660.2588647.232161
1.080.2592857.283268
1.08350.2613547.290145
1.08690.2619747.335757
1.09030.2632547.362973
1.09370.265127.37391
1.09710.2661877.407171
1.10050.2680797.417593
1.1040.2693677.446732
1.10740.2703967.48121
1.11080.2711947.522155
1.11420.2730777.533118
1.11760.2745967.554278
1.1210.275997.578917
1.12440.2772827.606465
1.12780.2785867.633728
1.13130.2800997.657183
1.13470.2813947.684844
1.13810.2829387.705772
1.14150.2838957.742765
1.14490.2857437.755592
1.14830.2872157.778714
1.15170.2882097.814879
1.15510.2897317.836826
1.15860.290977.868352
1.1620.2918347.908248
1.16540.2939767.913657
1.16880.2951347.945752
1.17220.2963937.97519
1.17560.2974878.009124
1.1790.2989538.03315
1.18240.38.068534
1.18590.3018498.084328
1.18930.303848.094614
1.19270.3053798.117108
1.19610.3067168.145065
1.19950.3083338.165685
1.20290.3095048.198232
1.20630.3109088.224696
1.20970.3122368.253279
1.21320.3141748.267745
1.21660.3157448.290184
1.220.316668.329902
1.22340.3192488.325901
1.22680.3189918.396507
1.23020.3216928.389741
1.23360.322748.426372
1.2370.3243488.448502
1.24050.3256188.481447
1.24390.3269388.511328
1.24730.3296558.5051
1.25070.3295338.572575
1.25410.3338.547322
1.25750.3329298.613546
1.26090.3354198.613862
1.26430.3352218.683609
1.26780.337128.701277
1.27120.3395678.703155
1.27460.3404538.745302
1.2780.3438468.723515
1.28140.3438138.789273
1.28480.346098.796299
1.28830.3482088.809545
1.29170.3486738.862917
1.29510.3514058.859038
1.29850.3523078.901599
1.30190.3541618.920265
1.30530.3555288.951392
1.30880.3564318.996293
1.31220.3591978.992577
1.31560.3594379.052475
1.3190.3621729.049901
1.32240.3623919.110589
1.32580.364479.124823
1.32930.3672149.124683
1.33270.3676329.180775
1.33610.3703129.180706
1.33950.3715589.21649
1.3430.3737389.231304
1.34640.3757529.248509
1.34980.3769139.2869
1.35320.3775529.33838
1.35660.3814329.310355
1.36010.3826449.35
1.36350.3843619.37553
1.36690.3868779.381861
1.37030.3872359.440883
1.37380.3899729.444265
1.37720.3912199.482027
1.38060.3945869.468865
1.3840.3972899.472189
1.38750.3962199.56814
1.39090.3993089.56243
1.39430.4006419.599152
1.39770.4035829.597677
1.40120.4035959.668375
1.40460.4067099.663246
1.4080.4078439.705539
1.41150.4095379.736803
1.41490.4117929.752953
1.41830.4130439.793156
1.42180.4146589.827004
1.42520.4180369.81746
1.42860.4188889.867703
1.43210.4213939.881418
1.43550.4235219.902198
1.43890.4254799.927216
1.44240.4262269.982907
1.44580.4302769.959753
1.44920.43013610.03434

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
—