At one wavelength

Refractive index n: 0.2401
Extinction coefficient k: 2.88888

Permittivity ε₁: -8.28798
Permittivity ε₂: 1.38724

Absorption coefficient α: 617814 cm⁻¹
Penetration depth δ = λ/(2πk): 32.3722 nm

Abbe number V_d: —
Chromatic dispersion dn/dλ: -2 µm⁻¹

Group index n_g: 1.4153
Group velocity dispersion: — fs²/mm

Dispersion parameter D: — ps/(nm·km)
Photon energy: 2.11001 eV

ε = (n + ik)², α = 4πk/λ, n_g = 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): Olmon et al. 2012: Single-crystal gold; n,k 0.300–24.93 µm
au = ls.fetch_refractiveindex("main", "Au", "Olmon-sc", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(au.range_nm)  # (300, 24930) nm
eps = au.eps([633])  # complex permittivity

Downloads the original record once (pinned to the imported snapshot) and caches it.

import json, urllib.request
import lightsmith as ls

url = "https://materials.lightsmith.dev/v1/datasets/ds_e5ba06470452/lightsmith"
au = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(au.source)  # citation and provenance travel with the data

Any dataset here, as the library's Tabulated material (au/olmon-2012-sc).

# ... load au as above, then:
sim = ls.Simulation(
    particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=au)],
    medium_index=1.0,
    wavelengths=ls.WavelengthRange(start_nm=400, stop_nm=1000, num=81),
)
res = ls.solve(sim)  # exact Mie for a sphere
print(res.q_ext)     # extinction efficiency at each wavelength

Same spec runs with DDA, FDTD, BEM or T-matrix: ls.compare(sim, ["mie", "dda"]).

Materials guide Open a sphere of it in Studio Quick start Ask the community

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

Single-crystal gold

References

R. L. Olmon, B. Slovick, T. W. Johnson, D. Shelton, S.-H. Oh, G. D. Boreman, M. B. Raschke. Optical dielectric function of gold. Phys. Rev. B 86, 235147 (2012) (See Supplemental Material)

doi:10.1103/physrevb.86.235147 Optical dielectric function of gold, Physical Review B (2012)

Cite

Robert L. Olmon et al.. Optical dielectric function of gold. Physical Review B, 86, 235147 (2012), doi:10.1103/physrevb.86.235147; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

448 rows as published

CSV comma separated TXT tab separated YAML n, k Full database record original YAML All quantities CSV JSON metadata

Au (Gold), Olmon et al. 2012: Single-crystal gold; n,k 0.300–24.93 µm: n and k versus wavelength
λ (µm)	n	k
0.3	1.562	1.827
0.31	1.609	1.836
0.32	1.642	1.825
0.33	1.656	1.804
0.34	1.65	1.784
0.35	1.627	1.773
0.36	1.595	1.778
0.37	1.566	1.8
0.38	1.55	1.832
0.39	1.549	1.858
0.4	1.554	1.869
0.41	1.552	1.863
0.42	1.533	1.85
0.43	1.503	1.841
0.44	1.473	1.834
0.45	1.444	1.815
0.46	1.399	1.774
0.47	1.315	1.719
0.48	1.179	1.677
0.49	1.003	1.68
0.5	0.8181	1.745
0.51	0.6582	1.863
0.52	0.5376	2.007
0.53	0.4515	2.155
0.54	0.3897	2.298
0.55	0.3437	2.434
0.56	0.3078	2.563
0.57	0.279	2.685
0.58	0.2553	2.803
0.59	0.2353	2.916
0.6	0.2184	3.026
0.61	0.204	3.133
0.62	0.1916	3.237
0.63	0.1809	3.338
0.64	0.1717	3.438
0.65	0.1638	3.536
0.66	0.157	3.632
0.67	0.1511	3.726
0.68	0.146	3.819
0.69	0.1417	3.911
0.7	0.138	4.002
0.71	0.1348	4.091
0.72	0.1322	4.18
0.73	0.13	4.268
0.74	0.1282	4.354
0.75	0.1268	4.44
0.76	0.1257	4.525
0.77	0.1248	4.61
0.78	0.1243	4.694
0.79	0.1239	4.777
0.8	0.1238	4.859
0.81	0.1239	4.941
0.82	0.1241	5.023
0.83	0.1245	5.104
0.84	0.1251	5.185
0.85	0.1258	5.265
0.86	0.1266	5.345
0.87	0.1275	5.424
0.88	0.1286	5.503
0.89	0.1297	5.582
0.9	0.1309	5.66
0.91	0.1323	5.738
0.92	0.1337	5.816
0.93	0.1351	5.893
0.94	0.1367	5.97
0.95	0.1383	6.047
0.96	0.14	6.124
0.97	0.1417	6.2
0.98	0.1435	6.276
0.99	0.1453	6.352
1.0	0.1472	6.428
1.01	0.1491	6.504
1.02	0.1511	6.579
1.03	0.1531	6.654
1.04	0.1552	6.729
1.05	0.1573	6.804
1.06	0.1594	6.878
1.07	0.1616	6.953
1.08	0.1638	7.027
1.09	0.166	7.101
1.1	0.1683	7.175
1.11	0.1705	7.249
1.12	0.1729	7.323
1.13	0.1752	7.396
1.14	0.1776	7.47
1.15	0.18	7.543
1.16	0.1824	7.616
1.17	0.1849	7.689
1.18	0.1874	7.762
1.19	0.1899	7.835
1.2	0.1924	7.908
1.21	0.1949	7.981
1.22	0.1975	8.053
1.23	0.2001	8.126
1.24	0.2027	8.198
1.25	0.2053	8.27
1.26	0.2079	8.342
1.27	0.2106	8.414
1.28	0.2133	8.486
1.29	0.216	8.558
1.3	0.2187	8.63
1.31	0.2214	8.702
1.32	0.2241	8.773
1.33	0.2269	8.845
1.34	0.2297	8.916
1.35	0.2325	8.988
1.43	0.2553	9.556
1.44	0.2582	9.627
1.45	0.2611	9.698
1.46	0.2644	9.762
1.47	0.2678	9.825
1.48	0.2712	9.889
1.49	0.2747	9.952
1.5	0.2782	10.01
1.51	0.2818	10.08
1.52	0.2854	10.14
1.53	0.2891	10.2
1.54	0.2928	10.27
1.55	0.2965	10.33
1.56	0.3003	10.39
1.57	0.3042	10.45
1.58	0.3081	10.51
1.59	0.312	10.57
1.6	0.3161	10.64
1.61	0.3201	10.7
1.62	0.3242	10.76
1.63	0.3284	10.82
1.64	0.3326	10.88
1.65	0.3369	10.94
1.66	0.3412	11.0
1.67	0.3457	11.06
1.68	0.3501	11.12
1.69	0.3546	11.18
1.7	0.3592	11.24
1.71	0.3639	11.3
1.72	0.3686	11.36
1.73	0.3733	11.42
1.74	0.3782	11.48
1.75	0.3831	11.53
1.76	0.3881	11.59
1.77	0.3931	11.65
1.78	0.3982	11.71
1.79	0.4034	11.77
1.8	0.4087	11.83
1.81	0.414	11.88
1.82	0.4194	11.94
1.83	0.4249	12.0
1.84	0.4305	12.06
1.85	0.4361	12.11
1.86	0.4418	12.17
1.87	0.4476	12.23
1.88	0.4535	12.29
1.89	0.4595	12.34
1.9	0.4655	12.4
1.91	0.4717	12.46
1.92	0.4779	12.51
1.93	0.4842	12.57
1.94	0.4906	12.62
1.95	0.4971	12.68
1.96	0.5037	12.74
1.97	0.5104	12.79
1.98	0.5172	12.85
1.99	0.5241	12.9
2.0	0.5294	12.95
2.007	0.5345	13.0
2.019	0.541	13.08
2.025	0.5443	13.13
2.038	0.551	13.21
2.045	0.5544	13.25
2.058	0.5613	13.34
2.064	0.5647	13.38
2.077	0.5718	13.47
2.084	0.5754	13.51
2.098	0.5827	13.6
2.104	0.5864	13.64
2.118	0.5939	13.73
2.125	0.5977	13.78
2.139	0.6054	13.87
2.146	0.6093	13.92
2.153	0.6133	13.96
2.168	0.6213	14.06
2.175	0.6254	14.1
2.19	0.6336	14.2
2.197	0.6378	14.25
2.205	0.6421	14.3
2.22	0.6507	14.4
2.227	0.655	14.45
2.235	0.6594	14.5
2.243	0.6639	14.55
2.258	0.6729	14.65
2.266	0.6775	14.7
2.274	0.6822	14.75
2.282	0.6869	14.8
2.298	0.6964	14.91
2.307	0.7012	14.96
2.315	0.7061	15.02
2.323	0.711	15.07
2.34	0.7211	15.18
2.348	0.7262	15.24
2.357	0.7313	15.29
2.365	0.7365	15.35
2.374	0.7418	15.4
2.383	0.7471	15.46
2.392	0.7525	15.52
2.409	0.7634	15.63
2.418	0.7689	15.69
2.427	0.7745	15.75
2.437	0.7802	15.81
2.446	0.786	15.87
2.455	0.7918	15.93
2.464	0.7976	15.99
2.474	0.8036	16.05
2.483	0.8096	16.11
2.493	0.8156	16.17
2.502	0.8218	16.24
2.512	0.828	16.3
2.522	0.8342	16.36
2.532	0.8406	16.43
2.542	0.847	16.49
2.552	0.8535	16.56
2.562	0.86	16.62
2.572	0.8667	16.69
2.582	0.8734	16.75
2.593	0.8802	16.82
2.603	0.8871	16.89
2.613	0.894	16.96
2.624	0.9011	17.03
2.635	0.9082	17.09
2.645	0.9154	17.16
2.656	0.9227	17.23
2.667	0.9301	17.3
2.678	0.9376	17.38
2.689	0.9451	17.45
2.701	0.9528	17.52
2.712	0.9605	17.59
2.723	0.9683	17.67
2.735	0.9763	17.74
2.746	0.9843	17.82
2.758	0.9924	17.89
2.77	1.001	17.97
2.782	1.009	18.04
2.794	1.017	18.12
2.806	1.026	18.2
2.818	1.035	18.28
2.83	1.043	18.36
2.843	1.052	18.44
2.855	1.061	18.52
2.868	1.07	18.6
2.881	1.08	18.68
2.893	1.089	18.76
2.906	1.098	18.85
2.919	1.108	18.93
2.933	1.118	19.02
2.946	1.128	19.1
2.959	1.138	19.19
2.973	1.148	19.27
2.987	1.158	19.36
3.001	1.168	19.45
3.015	1.179	19.54
3.029	1.189	19.63
3.043	1.2	19.72
3.057	1.211	19.81
3.072	1.222	19.91
3.086	1.233	20.0
3.101	1.245	20.1
3.116	1.256	20.19
3.131	1.268	20.29
3.146	1.28	20.38
3.162	1.292	20.48
3.177	1.304	20.58
3.193	1.317	20.68
3.209	1.329	20.78
3.224	1.342	20.88
3.241	1.355	20.99
3.257	1.368	21.09
3.273	1.381	21.2
3.29	1.395	21.3
3.307	1.409	21.41
3.324	1.422	21.52
3.341	1.437	21.63
3.358	1.451	21.74
3.376	1.465	21.85
3.393	1.48	21.96
3.411	1.495	22.07
3.429	1.51	22.19
3.447	1.526	22.3
3.466	1.541	22.42
3.485	1.557	22.54
3.503	1.573	22.66
3.522	1.59	22.78
3.542	1.606	22.9
3.561	1.623	23.02
3.581	1.64	23.15
3.601	1.658	23.28
3.621	1.676	23.4
3.641	1.694	23.53
3.662	1.712	23.66
3.683	1.73	23.79
3.704	1.749	23.93
3.725	1.769	24.06
3.746	1.788	24.2
3.768	1.808	24.33
3.79	1.828	24.47
3.812	1.848	24.61
3.835	1.869	24.75
3.858	1.89	24.9
3.881	1.912	25.04
3.904	1.934	25.19
3.928	1.956	25.34
3.952	1.979	25.49
3.976	2.002	25.64
4.001	2.025	25.79
4.026	2.049	25.95
4.051	2.073	26.11
4.076	2.098	26.27
4.102	2.123	26.43
4.128	2.149	26.59
4.155	2.175	26.76
4.181	2.201	26.92
4.209	2.228	27.09
4.236	2.256	27.26
4.264	2.284	27.44
4.292	2.312	27.61
4.321	2.341	27.79
4.35	2.371	27.97
4.379	2.401	28.15
4.409	2.432	28.34
4.439	2.463	28.52
4.47	2.495	28.71
4.501	2.527	28.9
4.532	2.56	29.1
4.564	2.594	29.3
4.597	2.628	29.5
4.629	2.663	29.7
4.663	2.699	29.9
4.697	2.735	30.11
4.731	2.773	30.32
4.766	2.81	30.53
4.801	2.849	30.75
4.837	2.889	30.97
4.873	2.929	31.19
4.91	2.97	31.42
4.947	3.012	31.65
4.986	3.055	31.88
5.024	3.098	32.12
5.063	3.143	32.35
5.103	3.189	32.6
5.144	3.235	32.84
5.185	3.283	33.09
5.227	3.331	33.34
5.269	3.381	33.6
5.312	3.432	33.86
5.356	3.483	34.13
5.401	3.536	34.4
5.446	3.59	34.67
5.493	3.646	34.95
5.539	3.702	35.23
5.587	3.76	35.51
5.636	3.82	35.8
5.685	3.88	36.1
5.736	3.942	36.4
5.787	4.006	36.71
5.839	4.07	37.01
5.892	4.137	37.33
5.946	4.205	37.65
6.001	4.275	37.98
6.057	4.346	38.31
6.114	4.419	38.64
6.173	4.494	38.99
6.232	4.57	39.33
6.292	4.649	39.69
6.354	4.73	40.05
6.417	4.812	40.42
6.481	4.897	40.79
6.547	4.984	41.17
6.613	5.073	41.56
6.682	5.164	41.95
6.751	5.258	42.36
6.822	5.354	42.76
6.895	5.452	43.18
6.969	5.554	43.61
7.045	5.658	44.04
7.122	5.764	44.48
7.201	5.874	44.93
7.282	5.987	45.39
7.365	6.102	45.86
7.45	6.221	46.34
7.536	6.344	46.82
7.625	6.469	47.32
7.716	6.598	47.83
7.809	6.731	48.35
7.904	6.868	48.88
8.001	7.008	49.42
8.101	7.153	49.97
8.204	7.302	50.53
8.309	7.455	51.11
8.417	7.613	51.7
8.528	7.775	52.3
8.642	7.942	52.92
8.758	8.115	53.55
8.878	8.292	54.2
9.002	8.475	54.86
9.128	8.664	55.53
9.259	8.858	56.23
9.393	9.058	56.94
9.531	9.265	57.66
9.673	9.478	58.41
9.82	9.698	59.17
9.971	9.925	59.96
10.13	10.16	60.76
10.29	10.4	61.59
10.45	10.65	62.44
10.63	10.91	63.31
10.8	11.17	64.2
10.99	11.45	65.13
11.17	11.73	66.07
11.37	12.02	67.05
11.57	12.33	68.05
11.78	12.64	69.08
12.0	12.96	70.15
12.23	13.3	71.25
12.46	13.64	72.38
12.71	14.0	73.55
12.96	14.37	74.76
13.23	14.75	76.01
13.5	15.14	77.3
13.79	15.55	78.63
14.09	15.97	80.02
14.4	16.4	81.46
14.73	16.85	82.95
15.07	17.32	84.49
15.43	17.8	86.1
15.81	18.29	87.78
16.2	18.81	89.52
16.62	19.34	91.34
17.06	19.88	93.24
17.52	20.45	95.23
18.0	21.03	97.32
18.52	21.63	99.5
19.06	22.25	101.8
19.64	22.88	104.2
20.25	23.54	106.8
20.91	24.21	109.5
21.6	24.91	112.3
22.35	25.62	115.4
23.15	26.35	118.6
24.0	27.1	122.1
24.93	27.87	125.8

Optical transmission calculator

Free-standing sample in vacuum, normal incidence

Transmittance T: —
Reflectance R: —

Fresnel reflection calculator

R_p: —
R_s: —
R = (R_p+R_s)/2: —
Phase φ_p: —
Phase φ_s: —
Brewster angle θ_B: —
Critical angle θ_C: —

Plot