Optical constants

Refractive index of Au (Gold)

Magnozzi et al. 2019: n,k 0.252–1.45 µm; 350 °C

Data
tabulated nk
Range
0.2516–1.449 µm
Points
601
Temperature
623 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
0.297487
Extinction coefficient k
3.02993
Permittivity ε1
-9.09195
Permittivity ε2
1.80273
Absorption coefficient α
647978 cm⁻¹
Penetration depth δ = λ/(2πk)
30.8653 nm
Abbe number Vd
—
Chromatic dispersion dn/dλ
-0.359748 µm⁻¹
Group index ng
0.508875
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; 350 °C
au = ls.fetch_refractiveindex("main", "Au", "Magnozzi-350C", 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 350 °C.

Conditions

temperature
623 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; 350 °C: n and k versus wavelength
λ (µm)nk
0.251571.3127351.642811
0.253161.3215831.662523
0.254751.3133361.692527
0.256341.3271321.701009
0.257931.3345191.709659
0.259531.3214181.740785
0.261121.3516671.742338
0.262711.3441661.758042
0.26431.3536211.765852
0.265891.3629711.776082
0.267491.364671.795972
0.269081.3771991.808135
0.270671.3801931.820424
0.272261.3890181.836626
0.273861.3998151.848825
0.275451.4094651.861134
0.277041.4213311.872316
0.278631.4267071.887945
0.280231.4392211.894958
0.281821.4485091.908043
0.283411.4572121.917021
0.2851.4639911.931281
0.28661.4745321.9381
0.288191.4882391.948298
0.289781.4962651.956158
0.291381.5126911.962378
0.292971.5209611.966833
0.294561.533561.974838
0.296161.5451221.980762
0.297751.5559191.985127
0.299341.5661681.988329
0.300941.5758641.990626
0.302531.585171.992277
0.304121.5942191.993467
0.305721.602951.994316
0.307311.6114611.994925
0.30891.6198281.995362
0.31051.6279581.995657
0.312091.6359561.995832
0.313691.6437181.995887
0.315281.6512811.995814
0.316871.6586761.995593
0.318471.665791.995205
0.320061.672691.994621
0.321661.6792651.993826
0.323251.6855361.992793
0.324841.6915141.991497
0.326441.6971021.98994
0.328031.7023471.988093
0.329631.7071641.985977
0.331221.7115941.983568
0.332821.7155671.980906
0.334411.7191191.977974
0.336011.7221951.974828
0.33761.7248121.971478
0.339191.7269791.967932
0.340791.7286661.96427
0.342381.7298961.960484
0.343981.7306611.956665
0.345571.7309771.952808
0.347171.7308521.949006
0.348761.7302991.945256
0.350361.7293421.941651
0.351951.7279891.938189
0.353551.7262781.934954
0.355141.7242131.931944
0.356741.7218461.929233
0.358331.7191761.926816
0.359931.7162661.92475
0.361521.713111.923031
0.363121.709781.921694
0.364711.7062661.920734
0.366311.7026431.920165
0.36791.6988981.919978
0.36951.6951091.920166
0.371091.6912581.920718
0.372691.6874211.921607
0.374281.6835761.922818
0.375881.6797721.924318
0.377481.6760531.92606
0.379071.672391.928029
0.380671.6688451.930161
0.382261.6653841.93244
0.383861.662061.934796
0.385451.6588361.937214
0.387051.6557531.939622
0.388641.6527721.942008
0.390241.6499061.944317
0.391841.6471651.946499
0.393431.6445031.948547
0.395031.641941.950407
0.396621.6394271.952077
0.398221.6369781.953515
0.399811.6345431.954724
0.401411.6321161.955685
0.403011.6296891.956388
0.40461.627211.956842
0.40621.6246871.957047
0.407791.6220651.957016
0.409391.6193381.956761
0.410991.6165031.956304
0.412581.6135021.95566
0.414181.6103541.954862
0.415771.6070041.953926
0.417371.6034771.952889
0.418961.5997161.951766
0.420561.5957311.950589
0.422161.591541.94939
0.423751.5870861.948177
0.425351.5824191.946982
0.426941.5774791.945804
0.428541.5722941.94466
0.430141.5669011.943559
0.431731.5612351.942485
0.433331.5553331.941437
0.434931.5492381.940404
0.436521.5428751.939354
0.438121.5363271.938272
0.439711.5295111.937115
0.441311.5224641.935855
0.442911.5152271.934465
0.44451.5076971.932892
0.44611.4999521.931122
0.447691.4918741.929105
0.449291.4834821.926828
0.450891.4747971.924298
0.452481.4656711.921481
0.454081.456171.918431
0.455671.4461221.915141
0.457271.4355291.911684
0.458871.4244041.908155
0.460461.4125481.904604
0.462061.3999751.901164
0.463661.3867211.897983
0.465251.3725881.895155
0.466851.3577411.892847
0.468441.3420071.891144
0.470041.3255321.890142
0.471641.3085281.889851
0.473231.2909421.890181
0.474831.273221.890896
0.476421.2554491.891568
0.478021.2381441.891487
0.479621.2219091.889609
0.481211.207171.884395
0.482811.1833721.887715
0.48441.1632451.891148
0.4861.1396781.894535
0.48761.1141091.903247
0.489191.0893921.91134
0.490791.0645561.917903
0.492381.0416371.925127
0.493981.025411.92981
0.495581.0077631.934609
0.497170.9882461.942211
0.498770.9630891.952553
0.500360.9366061.963679
0.501960.9137381.978573
0.503560.8862041.990219
0.505150.866112.005877
0.506750.8411042.021998
0.508340.8195412.033905
0.509940.7990632.049294
0.511540.7813152.06576
0.513130.7649622.079869
0.514730.7463042.094872
0.516320.7289942.110323
0.517920.7102712.12868
0.519510.6893042.15001
0.521110.6712212.170234
0.522710.6501242.1898
0.52430.6311822.20883
0.52590.616122.228681
0.527490.6015482.248727
0.529090.5865712.270099
0.530680.5738052.291976
0.532280.5626432.312813
0.533880.549782.333154
0.535470.5355082.355832
0.537070.5237792.376081
0.538660.5083742.397171
0.540260.4949832.417902
0.541850.4840672.436701
0.543450.4727562.459216
0.545040.4612782.480343
0.546640.4508952.503445
0.548230.4443992.522858
0.549830.4350682.545003
0.551420.4284412.568949
0.553020.4197552.591296
0.554610.4125652.61517
0.556210.4043282.635034
0.55780.3957692.654514
0.55940.3878412.673999
0.560990.3799872.694143
0.562590.3715362.715062
0.564180.366872.731013
0.565780.3601822.752483
0.567370.3548072.772766
0.568970.3492332.799034
0.570560.3472882.818587
0.572160.3399182.841407
0.573750.3368132.865016
0.575350.3301612.884497
0.576940.3274712.905397
0.578540.3209282.92269
0.580130.3176192.945817
0.581730.3130612.963714
0.583320.3106772.979578
0.584910.3039922.999841
0.586510.2978793.016365
0.58810.2973073.036146
0.58970.287753.053278
0.591290.2884793.076431
0.592890.2852953.097634
0.594480.2824553.114356
0.596070.2806133.135713
0.597670.2770723.156766
0.599260.2749283.176482
0.600860.2723333.195039
0.602450.2723263.211394
0.604040.2643473.230769
0.605640.2644273.24873
0.607230.2586063.261149
0.608820.2580093.275885
0.610420.2548883.290961
0.612010.2519343.311069
0.613610.249443.324848
0.61520.2486183.342844
0.616790.2454763.36264
0.618390.244813.384537
0.619980.2443723.401443
0.621570.2425343.417855
0.623160.2388633.439012
0.624760.2399993.457632
0.626350.2385243.475876
0.627940.2337073.493027
0.629540.2319873.506167
0.631130.2316973.526953
0.632720.2269623.538202
0.634320.2239343.551676
0.635910.2234523.564213
0.63750.2245313.582186
0.639090.2204873.595968
0.640690.2194763.610354
0.642280.2142813.626767
0.643870.2167183.642645
0.645460.2128593.660764
0.647060.2109293.681296
0.648650.2129323.700022
0.650240.2091533.716858
0.651830.2078373.740284
0.653420.2086563.752798
0.655020.207833.768037
0.656610.2056953.788571
0.65820.1981873.80452
0.659790.2028083.817916
0.661380.2008423.835345
0.662970.2017783.850051
0.664570.2007163.861486
0.666160.1987243.874796
0.667750.1952873.895356
0.669340.1957053.905982
0.670930.1945063.923922
0.672520.1920313.942073
0.674110.1956993.955367
0.67570.1926533.97377
0.67730.1907263.993131
0.678890.1897994.008859
0.680480.18724.027582
0.682070.1902894.047912
0.683660.1908294.061028
0.685250.1914564.080835
0.686840.192824.092146
0.688430.1928234.111265
0.690020.1911524.128704
0.691610.1957714.144839
0.69320.193494.156677
0.694790.1872934.174713
0.696380.1919614.191127
0.697970.1951394.199805
0.699560.184814.22039
0.701150.1877994.232187
0.702740.1868054.244301
0.704330.1898984.260238
0.705920.1935714.278261
0.707510.1935364.29256
0.70910.1918594.307045
0.710690.194224.323396
0.712270.1944164.350423
0.713860.1912354.362158
0.715450.1920824.371561
0.717040.1978744.391235
0.718630.1888614.402471
0.720220.1949644.416996
0.721810.1968534.435111
0.72340.1903474.450663
0.724980.1939594.468879
0.726570.196864.473043
0.728160.1940554.496234
0.729750.196854.508165
0.731340.195774.524853
0.732920.1951934.539365
0.734510.2041114.545456
0.73610.1961764.557214
0.737690.198664.570553
0.739280.1933394.589023
0.740860.2012784.598721
0.742450.1932544.615259
0.744040.1956164.626581
0.745620.2042144.640985
0.747210.1970084.657707
0.74880.2012814.672567
0.750390.1965114.682663
0.751970.196834.699407
0.753560.1969264.721706
0.755150.1974324.734222
0.756730.198024.744664
0.758320.198254.763908
0.75990.1987594.776336
0.761490.1991614.791533
0.763080.1995764.806465
0.764660.2002994.813873
0.766250.2007714.827518
0.767830.2012634.840552
0.769420.2019874.848212
0.7710.2023594.864225
0.772590.2030444.872903
0.774180.2033514.890708
0.775760.2037374.906515
0.777350.2047724.906909
0.778930.2052544.92047
0.780520.2056964.93519
0.78210.2058664.956324
0.783680.2065684.964721
0.785270.207194.975227
0.786850.2081514.97751
0.788440.2077945.011614
0.790020.2085865.01797
0.791610.2089645.034509
0.793190.2097985.039947
0.794770.2098625.063975
0.796360.2104345.075936
0.797940.2108215.09227
0.799520.2115035.101505
0.801110.2118045.12012
0.802690.2123655.132355
0.804270.2132235.137444
0.805860.2138675.14791
0.807440.2136425.17924
0.809020.214125.193629
0.81060.214955.199512
0.812190.2154855.212751
0.813770.2158625.229678
0.815350.2164225.242231
0.816930.2167245.261054
0.818520.2174225.270485
0.82010.2184245.27243
0.821680.218745.291003
0.823260.2194675.299687
0.824840.2199375.314598
0.826420.2204175.329322
0.8280.2207695.347174
0.829590.2213685.359246
0.831170.2225535.357031
0.832750.223595.358494
0.834330.2235465.385972
0.835910.2235815.41164
0.837490.2244095.418182
0.839070.2249925.430671
0.840650.2255695.44334
0.842230.2260725.457851
0.843810.2263345.478203
0.845390.2273715.479852
0.846970.2273665.506714
0.848550.2271745.53825
0.850130.2282925.537958
0.851710.2282355.566279
0.853290.2291135.571865
0.854860.2298335.581189
0.856440.2301265.601099
0.858020.2314175.59679
0.85960.2313525.625414
0.861180.2317085.643895
0.862760.2324685.652574
0.864340.2333865.657447
0.865910.2345535.656186
0.867490.2347835.677776
0.869070.2353245.691915
0.870650.236155.69918
0.872220.2363995.720247
0.87380.2373455.724671
0.875380.2376665.744232
0.876950.2381315.760157
0.878530.2391755.76233
0.880110.2395385.780951
0.881680.2399175.799045
0.883260.240355.816069
0.884840.2408215.832176
0.886410.2417875.836187
0.887990.2430295.833783
0.889570.2431945.857353
0.891140.2441595.861507
0.892720.2446325.877719
0.894290.244865.899684
0.895870.2451355.920723
0.897440.2461735.923237
0.899020.2467095.938047
0.900590.2476085.943987
0.902170.2478085.966933
0.903740.2480775.988092
0.905310.2488085.998145
0.906890.2495256.008735
0.908460.2505716.011288
0.910040.2512236.023515
0.911610.2516416.041209
0.913180.2518416.064181
0.914760.2521416.084961
0.916330.2526326.101019
0.91790.254076.094268
0.919480.2548616.103343
0.921050.2552976.120785
0.922620.2560136.131529
0.924190.256886.138698
0.925770.2575826.150003
0.927340.2584786.156565
0.928910.2595786.158324
0.930480.260236.170767
0.932050.2604576.193307
0.933620.2609416.209792
0.935190.2618786.215535
0.936770.2621966.236194
0.938340.2625466.255956
0.939910.2633236.265585
0.941480.2640166.277223
0.943050.2647986.286779
0.944620.2651736.306042
0.946190.2659816.315045
0.947760.2670226.31856
0.949330.2677796.328859
0.95090.2682756.345336
0.952470.2692166.351341
0.954040.2698796.363929
0.95560.2704796.377849
0.957170.2709146.395878
0.958740.2711786.41799
0.960310.2718036.43159
0.961880.272676.439479
0.963450.2730446.459063
0.965010.2733466.480208
0.966580.2743536.484863
0.968150.2752386.49245
0.969720.2760416.502019
0.971280.2773776.498919
0.972850.2781866.508431
0.974420.2782056.536476
0.975990.2788476.549947
0.977550.2797746.556563
0.979120.2799196.581748
0.980680.2810836.582852
0.982250.2819036.592273
0.983820.2828386.599022
0.985380.2832826.617086
0.986950.2844576.618319
0.988510.2847696.639512
0.990080.2859166.641458
0.991640.2864546.657424
0.993210.2867366.679557
0.994770.2872646.695818
0.996340.2887076.691025
0.99790.2897256.695973
0.999460.2901836.713924
1.01170.2962996.797326
1.01510.2979766.821307
1.01850.2993426.852556
1.02190.3010646.875758
1.02540.3029126.898088
1.02880.3042626.930064
1.03220.3064856.942305
1.03560.3077046.97747
1.0390.3093277.0036
1.04250.3111457.02731
1.04590.3126137.057195
1.04930.3139817.089462
1.05270.3159937.107331
1.05610.31767.134463
1.05950.3193847.157737
1.0630.3206477.194699
1.06640.3226527.213271
1.06980.3239777.247212
1.07320.3254017.279048
1.07660.3277977.289328
1.080.3284627.338314
1.08350.3307447.353252
1.08690.3316637.396807
1.09030.3334177.421872
1.09370.3360147.428399
1.09710.3374217.461433
1.10050.3395587.47847
1.1040.341497.502072
1.10740.3427277.539204
1.11080.3436957.582369
1.11420.3461677.592566
1.11760.3482677.611129
1.1210.3500787.636158
1.12440.3515627.668437
1.12780.3535017.690916
1.13130.355137.722181
1.13470.3569757.746977
1.13810.3588877.770442
1.14150.3602757.8054
1.14490.3626657.818819
1.14830.3645447.843397
1.15170.3660657.875836
1.15510.3678797.90208
1.15860.3696587.93113
1.1620.3708167.971693
1.16540.3734177.981449
1.16880.3752858.007067
1.17220.3767578.041242
1.17560.3782048.076074
1.1790.3801148.101149
1.18240.381648.134529
1.18590.3840318.151583
1.18930.3864398.166526
1.19270.3887478.183766
1.19610.390478.213487
1.19950.3926228.234306
1.20290.3940958.269505
1.20630.3965168.28499
1.20970.3980098.320005
1.21320.4006118.333962
1.21660.4024058.362946
1.220.404098.394315
1.22340.4070428.399588
1.22680.4070718.465528
1.23020.4107878.455237
1.23360.4124428.487734
1.2370.4138638.525156
1.24050.4162238.54537
1.24390.4176078.583775
1.24730.4211298.578556
1.25070.4210828.646475
1.25410.4257528.618221
1.25750.4259058.682078
1.26090.4287378.691619
1.26430.4288628.756337
1.26780.4314558.772906
1.27120.4346398.775756
1.27460.436218.811421
1.2780.4403178.796225
1.28140.440578.858537
1.28480.4433938.86943
1.28830.4460588.885684
1.29170.4472898.928696
1.29510.4501248.939883
1.29850.4517388.975504
1.30190.4540148.998124
1.30530.4561349.023951
1.30880.4577599.061725
1.31220.4611649.062487
1.31560.4615659.122614
1.3190.4653049.117153
1.32240.46639.165731
1.32580.4686129.188626
1.32930.4720319.192057
1.33270.4721599.257932
1.33610.4762319.246912
1.33950.4783059.275049
1.3430.4806749.299614
1.34640.4829359.324405
1.34980.484069.371282
1.35320.4859529.403461
1.35660.4903219.388098
1.36010.492399.419163
1.36350.4941019.455204
1.36690.4976899.455585
1.37030.4984169.51059
1.37380.5019549.514283
1.37720.5035969.55212
1.38060.5086139.526452
1.3840.5111949.546935
1.38750.5098289.643693
1.39090.5144059.626804
1.39430.5157689.670453
1.39770.5197379.665558
1.40120.5199969.732068
1.40460.5241749.723606
1.4080.5246759.783748
1.41150.527959.79447
1.41490.5305789.815357
1.41830.5319659.85938
1.42180.5337819.897624
1.42520.5379569.89039
1.42860.5386739.94709
1.43210.5425259.948256
1.43550.5451399.97033
1.43890.5482819.982954
1.44240.5485810.04968
1.44580.55346110.03091
1.44920.55416210.08837

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
—