Optical constants

Refractive index of Au (Gold)

Magnozzi et al. 2019: n,k 0.252–1.45 µm; 25 °C

Data
tabulated nk
Range
0.2516–1.449 µm
Points
601
Temperature
298 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
0.225619
Extinction coefficient k
2.98637
Permittivity ε1
-8.86752
Permittivity ε2
1.34757
Absorption coefficient α
638663 cm⁻¹
Penetration depth δ = λ/(2πk)
31.3154 nm
Abbe number Vd
—
Chromatic dispersion dn/dλ
-1.66226 µm⁻¹
Group index ng
1.20237
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; 25 °C
au = ls.fetch_refractiveindex("main", "Au", "Magnozzi-25C", 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 25 °C.

Conditions

temperature
298 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; 25 °C: n and k versus wavelength
λ (µm)nk
0.251571.2845221.610157
0.253161.2873951.630462
0.254751.2898871.656333
0.256341.2921111.668629
0.257931.2970191.685505
0.259531.3021931.702589
0.261121.312811.72006
0.262711.3173051.734038
0.26431.3273271.749004
0.265891.3349441.763754
0.267491.3439471.778991
0.269081.3547831.792554
0.270671.3629431.806386
0.272261.3745881.820418
0.273861.3855831.832906
0.275451.3985111.84616
0.277041.4116811.857638
0.278631.4256161.86704
0.280231.4395531.873754
0.281821.4511831.881683
0.283411.4638781.886543
0.2851.4742271.892674
0.28661.4838921.897467
0.288191.4976921.902358
0.289781.5062961.904639
0.291381.5183031.910404
0.292971.5222341.919999
0.294561.5364491.918742
0.296161.5478371.918812
0.297751.5572511.919889
0.299341.5653521.921715
0.300941.5725291.924028
0.302531.5792181.926624
0.304121.5857441.929332
0.305721.592231.931955
0.307311.5988521.934368
0.30891.6057311.936468
0.31051.6128091.938129
0.312091.6201661.939298
0.313691.6276721.939902
0.315281.635311.939913
0.316871.6430521.939302
0.318471.6507131.938071
0.320061.6582941.936211
0.321661.6656051.933763
0.323251.67261.930748
0.324841.6792291.927179
0.326441.6853251.923149
0.328031.6908891.91866
0.329631.6957861.913827
0.331221.7000211.908655
0.332821.7034971.903276
0.334411.7062251.897693
0.336011.7081491.892048
0.33761.709281.886378
0.339191.709621.880721
0.340791.7091771.875218
0.342381.7079711.869872
0.343981.7060491.864816
0.345571.7034311.860049
0.347171.70021.85569
0.348761.6963751.851737
0.350361.6920671.848286
0.351951.6872931.845335
0.353551.6821841.842953
0.355141.6767541.841133
0.356741.6711451.839916
0.358331.6653641.839293
0.359931.6595591.83927
0.361521.6537281.839837
0.363121.6480121.840969
0.364711.6424041.842651
0.366311.6370291.844829
0.36791.6318691.84749
0.36951.6270321.850551
0.371091.622491.854
0.372691.6183261.857736
0.374281.6145041.861746
0.375881.611061.865947
0.377481.6080121.870247
0.379071.6053141.874638
0.380671.6029851.879005
0.382261.6009731.883344
0.383861.5992761.887546
0.385451.5978411.891612
0.387051.5966491.895445
0.388641.5956461.899052
0.390241.5947981.902371
0.391841.5940671.905356
0.393431.59341.908021
0.395031.5927651.910315
0.396621.5921121.912258
0.398221.5914131.913821
0.399811.5906221.915026
0.401411.5897141.915871
0.403011.5886651.916366
0.40461.5874421.916537
0.40621.586041.916405
0.407791.5844281.915994
0.409391.5826061.915333
0.410991.5805831.91446
0.412581.5783331.913397
0.414181.5758891.912189
0.415771.5732291.910853
0.417371.5703971.909434
0.418961.5673711.907942
0.420561.5641831.906407
0.422161.5608691.904859
0.423751.5574051.90329
0.425351.5538451.901725
0.426941.5501591.900144
0.428541.5463741.898549
0.430141.5425211.896935
0.431731.5385481.895259
0.433331.5344721.893501
0.434931.5303061.891638
0.436521.5259751.889606
0.438121.5215061.887384
0.439711.5168061.884899
0.441311.5118611.882115
0.442911.5066551.879007
0.44451.5010681.875493
0.44611.4951141.87158
0.447691.4886561.867194
0.449291.481671.862341
0.450891.4741441.857056
0.452481.4659291.851288
0.454081.4570791.845146
0.455671.4474421.838608
0.457271.4370431.831791
0.458871.4259381.824839
0.460461.413991.817785
0.462061.4012821.810807
0.463661.3879331.80409
0.465251.3738231.797692
0.466851.3591811.791817
0.468441.343881.786482
0.470041.328051.781752
0.471641.3118041.777588
0.473231.2948841.773738
0.474831.277351.769875
0.476421.2586831.765327
0.478021.2384711.759179
0.479621.2160471.750152
0.481211.189891.736265
0.482811.1705681.738108
0.48441.1443021.736009
0.4861.113481.735837
0.48761.0797741.738931
0.489191.0447381.741505
0.490791.0114421.74498
0.492380.9818971.750029
0.493980.9556121.755039
0.495580.9287261.762202
0.497170.9003881.770504
0.498770.8689361.783858
0.500360.8356031.798934
0.501960.8022661.816142
0.503560.767131.834243
0.505150.737731.856105
0.506750.707641.877222
0.508340.682241.896995
0.509940.6590451.920112
0.511540.638131.942824
0.513130.6197641.965665
0.514730.6018841.989298
0.516320.5831992.01268
0.517920.5648852.038451
0.519510.5449852.063012
0.521110.5253862.088623
0.522710.5066512.113171
0.52430.4909862.136495
0.52590.4761722.160979
0.527490.464042.185475
0.529090.4539252.213234
0.530680.4421522.238272
0.532280.4341862.26585
0.533880.4246382.289209
0.535470.4132712.314471
0.537070.4023072.338883
0.538660.3912282.359578
0.540260.380732.380782
0.541850.371242.401956
0.543450.3626312.424132
0.545040.3536492.447018
0.546640.3460892.470378
0.548230.339952.491676
0.549830.334772.517148
0.551420.3292172.540817
0.553020.3246472.564034
0.554610.3198512.588014
0.556210.3130882.607616
0.55780.3067392.628919
0.55940.2997862.647173
0.560990.2937582.664873
0.562590.2878992.684871
0.564180.2821252.70165
0.565780.2774132.720649
0.567370.2727522.740905
0.568970.2692.764068
0.570560.2656292.786241
0.572160.2625432.808574
0.573750.2584142.831796
0.575350.2549052.851605
0.576940.2515772.872737
0.578540.2469422.889963
0.580130.2431362.910237
0.581730.2391652.925803
0.583320.2366632.94193
0.584910.2311952.957199
0.586510.2274312.974251
0.58810.2247882.991933
0.58970.2205363.010507
0.591290.219343.031479
0.592890.2164133.052136
0.594480.2131443.07105
0.596070.2116883.090595
0.597670.2094583.112321
0.599260.2073653.131577
0.600860.2050283.151662
0.602450.203453.168488
0.604040.199383.184948
0.605640.195363.202859
0.607230.1925523.216011
0.608820.1910293.228444
0.610420.1885623.245145
0.612010.1853313.263398
0.613610.1842973.27602
0.61520.1814633.295161
0.616790.180183.312912
0.618390.179273.334331
0.619980.1773743.352397
0.621570.1756443.371302
0.623160.1729653.391869
0.624760.1736153.410164
0.626350.1709243.427333
0.627940.1678983.444633
0.629540.1669783.460406
0.631130.1645883.477125
0.632720.1627893.489354
0.634320.1603513.503965
0.635910.1584053.517092
0.63750.1582693.532485
0.639090.1566433.546509
0.640690.154023.559886
0.642280.1507483.578857
0.643870.1509843.593806
0.645460.1517223.611992
0.647060.1493653.632087
0.648650.1481223.649847
0.650240.1463743.667756
0.651830.1449433.68904
0.653420.1436673.704715
0.655020.1422523.721318
0.656610.1408633.738857
0.65820.1402473.75563
0.659790.1382663.769203
0.661380.1369023.785357
0.662970.1359013.799028
0.664570.1350593.812761
0.666160.1348943.823083
0.667750.1331743.840447
0.669340.1313473.852699
0.670930.1303713.868464
0.672520.12963.885193
0.674110.1301063.899305
0.67570.1282543.916278
0.67730.1265033.936044
0.678890.126863.951335
0.680480.1272523.971257
0.682070.127833.991318
0.683660.1271924.005129
0.685250.1268034.024561
0.686840.1268084.036647
0.688430.1270724.054398
0.690020.1252224.071417
0.691610.1269624.084581
0.69320.1240074.098977
0.694790.1232294.111432
0.696380.1233834.12775
0.697970.1261754.13824
0.699560.1227644.152935
0.701150.1239554.166524
0.702740.1219784.179339
0.704330.1222764.195071
0.705920.1219394.209928
0.707510.1249824.224716
0.70910.125524.236686
0.710690.1239184.254848
0.712270.1224264.276167
0.713860.1251324.291328
0.715450.1236324.30368
0.717040.1266674.32104
0.718630.123664.332552
0.720220.1264244.34802
0.721810.1249614.366908
0.72340.1250254.382685
0.724980.1229714.398644
0.726570.123434.409254
0.728160.1219084.428552
0.729750.1257094.436975
0.731340.1256054.454237
0.732920.1255244.467252
0.734510.1283484.476924
0.73610.1274274.485702
0.737690.1250824.502257
0.739280.1265874.516528
0.740860.1281064.530867
0.742450.1258784.540982
0.744040.1244494.554452
0.745620.1260724.57123
0.747210.1280664.585826
0.74880.1248524.600722
0.750390.1245534.614116
0.751970.1247414.629221
0.753560.124794.649702
0.755150.1250464.662561
0.756730.1253034.675325
0.758320.1254014.694241
0.75990.1256864.706082
0.761490.1258244.723664
0.763080.1259864.740412
0.764660.1263684.748828
0.766250.1265984.763154
0.767830.1269184.774056
0.769420.1272444.784896
0.7710.1275094.797977
0.772590.1277984.81033
0.774180.1278944.83004
0.775760.1283054.837783
0.777350.128744.844844
0.778930.1289974.858521
0.780520.1291954.874609
0.78210.1294154.889807
0.783680.1297484.900762
0.785270.1301754.908401
0.786850.1304314.922387
0.788440.1305194.942946
0.790020.1307844.956704
0.791610.1311834.965622
0.793190.131444.979767
0.794770.1315854.998253
0.796360.1317745.015277
0.797940.1320415.029222
0.799520.1325365.034569
0.801110.1325485.058485
0.802690.1328655.070697
0.804270.1332295.081126
0.805860.1335895.091968
0.807440.1337055.111968
0.809020.1339245.128098
0.81060.1343515.136323
0.812190.134725.146968
0.813770.1349645.16229
0.815350.1353635.171711
0.816930.1355215.190372
0.818520.1358315.203467
0.82010.1363275.209306
0.821680.1365495.22564
0.823260.1370465.231545
0.824840.1374085.242645
0.826420.1376835.257099
0.8280.1378755.274761
0.829590.1382215.286711
0.831170.1388465.287916
0.832750.1395085.287796
0.834330.1393075.320545
0.835910.1393645.343577
0.837490.1399115.347852
0.839070.1403765.355368
0.840650.1406635.369683
0.842230.1409745.383121
0.843810.1411365.402272
0.845390.1416845.406711
0.846970.141725.430764
0.848550.141745.455507
0.850130.1422395.461906
0.851710.1422715.486252
0.853290.1428755.488643
0.854860.1431725.502722
0.856440.1431565.529035
0.858020.1437565.531686
0.85960.1440615.545681
0.861180.1443695.559625
0.862760.1446665.574017
0.864340.145265.576993
0.865910.1458885.578564
0.867490.1462325.591216
0.869070.146415.610272
0.870650.1468545.619163
0.872220.1470245.638387
0.87380.1474995.646133
0.875380.1477315.663217
0.876950.1481035.674765
0.878530.1484955.685775
0.880110.1489555.69418
0.881680.1491485.712707
0.883260.1495615.722971
0.884840.1498055.739721
0.886410.150365.744446
0.887990.1510255.745187
0.889570.1511675.765861
0.891140.1514685.780355
0.892720.1517895.794306
0.894290.1519145.815573
0.895870.1522015.83084
0.897440.1527945.834237
0.899020.153135.847684
0.900590.1535065.859421
0.902170.1537475.876535
0.903740.1538115.900278
0.905310.154355.90585
0.906890.1547775.915897
0.908460.155295.922523
0.910040.1555695.938278
0.911610.1558785.95271
0.913180.1560335.973092
0.914760.1561315.995828
0.916330.1566186.003524
0.91790.157366.00148
0.919480.1577796.01201
0.921050.1580086.02962
0.922620.1585236.036323
0.924190.1588746.04933
0.925770.1592126.062966
0.927340.1599316.062024
0.928910.1602526.076178
0.930480.160716.085183
0.932050.1609316.103189
0.933620.1612696.116776
0.935190.1615326.133198
0.936770.1619816.14276
0.938340.1621276.1637
0.939910.16276.168402
0.941480.1629546.185248
0.943050.1631396.20473
0.944620.1636076.213461
0.946190.1641226.22045
0.947760.1646046.228708
0.949330.1651426.234861
0.95090.1653816.252341
0.952470.1658926.259547
0.954040.1663386.269228
0.95560.1664226.292414
0.957170.166466.317564
0.958740.1669696.324902
0.960310.1673726.336232
0.961880.1678826.343542
0.963450.1679126.369069
0.965010.1681476.386671
0.966580.1686646.393738
0.968150.169166.401635
0.969720.1694366.417862
0.971280.1701326.418046
0.972850.1705586.428638
0.974420.1708016.446147
0.975990.1711086.461239
0.977550.1715096.472667
0.979120.1716656.493494
0.980680.1722256.498876
0.982250.1729756.497365
0.983820.1732926.512153
0.985380.1737476.521562
0.986950.1742896.527916
0.988510.1744616.547992
0.990080.1751526.54882
0.991640.1752596.571337
0.993210.1754776.589901
0.994770.1757436.606501
0.996340.1765216.60408
0.99790.1770676.610192
0.999460.1771346.634261
1.01170.1802766.725525
1.01510.1810826.753514
1.01850.1818666.782345
1.02190.1828316.804463
1.02540.1837886.828657
1.02880.1845676.85782
1.03220.1856646.875261
1.03560.186326.909064
1.0390.1872696.932062
1.04250.1881486.959392
1.04590.1889186.989115
1.04930.1897947.014987
1.05270.1906897.040176
1.05610.191567.066286
1.05950.1925777.087104
1.0630.1934187.116173
1.06640.1941687.146879
1.06980.1950897.17137
1.07320.1958337.202429
1.07660.1971267.213384
1.080.1973287.264404
1.08350.1988257.269685
1.08690.1991427.31657
1.09030.2000097.343323
1.09370.2013717.352019
1.09710.2021327.382762
1.10050.2033137.398265
1.1040.2041727.427247
1.10740.204877.460446
1.11080.2053797.500594
1.11420.2066617.51262
1.11760.207767.531377
1.1210.208757.554195
1.12440.2095447.584168
1.12780.2104457.61029
1.13130.2114077.636018
1.13470.2124017.658928
1.13810.2133377.683983
1.14150.2140547.716997
1.14490.2152897.731438
1.14830.2163237.753192
1.15170.2170157.787252
1.15510.2177887.818486
1.15860.2187747.843854
1.1620.21947.880493
1.16540.220787.890166
1.16880.2214697.924643
1.17220.2224197.949844
1.17560.2231047.9846
1.1790.2241748.005682
1.18240.2247148.045747
1.18590.2259818.061668
1.18930.2273058.073943
1.19270.2284148.093942
1.19610.229358.120195
1.19950.2304228.141693
1.20290.2313198.169472
1.20630.2322248.197069
1.20970.2331218.224989
1.21320.2342688.245967
1.21660.2354698.263361
1.220.2359398.306556
1.22340.2374458.313442
1.22680.2375318.370272
1.23020.2392528.369781
1.23360.2400138.403044
1.2370.2409548.430118
1.24050.2420678.453043
1.24390.2427218.490336
1.24730.2446898.481935
1.25070.2446858.542249
1.25410.2467558.53057
1.25750.2465378.598464
1.26090.2484978.590785
1.26430.2484378.653354
1.26780.2494248.681489
1.27120.251478.671246
1.27460.2519018.717001
1.2780.2540468.703784
1.28140.2542298.758184
1.28480.2553668.779923
1.28830.2567858.793876
1.29170.2573928.834017
1.29510.2590948.836783
1.29850.2595028.8839
1.30190.2609318.89624
1.30530.2617858.928357
1.30880.2624238.969739
1.31220.2641078.973811
1.31560.2640479.037429
1.3190.2661759.026588
1.32240.266819.066696
1.32580.2678389.093584
1.32930.2696479.095999
1.33270.2701369.141396
1.33610.2716689.151654
1.33950.2725129.18527
1.3430.2734089.219116
1.34640.275249.219787
1.34980.2756449.26858
1.35320.2765739.299856
1.35660.2787399.289858
1.36010.279239.337887
1.36350.2802599.366206
1.36690.2817179.380387
1.37030.2818479.439041
1.37380.284029.431547
1.37720.285269.453476
1.38060.2863469.480646
1.3840.2878919.492847
1.38750.2873449.576304
1.39090.2903159.541573
1.39430.2913179.572153
1.39770.2927679.588182
1.40120.2929729.647122
1.40460.2948739.648628
1.4080.2951499.703651
1.41150.2969899.709407
1.41490.2984099.72726
1.41830.2986529.783751
1.42180.300169.800925
1.42520.3021899.799513
1.42860.3026519.849204
1.43210.3040759.869721
1.43550.3060959.869305
1.43890.3065949.918187
1.44240.3073039.962439
1.44580.3100919.937873
1.44920.3100910.0033

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
—