Axis Log x Log y

Click the plot to set the calculator wavelength.

At one wavelength

Refractive index n: 0.59068
Extinction coefficient k: 2.45576

Permittivity ε₁: -5.68185
Permittivity ε₂: 2.90114

Absorption coefficient α: 525187 cm⁻¹
Penetration depth δ = λ/(2πk): 38.0817 nm

Abbe number V_d: —
Chromatic dispersion dn/dλ: -3.2 µm⁻¹

Group index n_g: 2.471
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): Yakubovsky et al. 2019: 6-nm film; n,k 0.30–3.3 µm
au = ls.fetch_refractiveindex("main", "Au", "Yakubovsky-6nm", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(au.range_nm)  # (300, 3300) 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_dd7f250fd798/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/yakubovsky-2019-6nm).

# ... 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

Au thickness = 6.1 nm, e-beam evaporated at 5 Å/s with a base pressure of 5e-7 Torr on MoS₂ CVD monolayer on SiO₂ substrate at T = 20 °C. Thickness was determined by AFM.

Conditions

film thickness: 6.1e-9
substrate: MoS2/SiO2

References

D. I. Yakubovsky, Y. V. Stebunov, R. V. Kirtaev, G. A. Ermolaev, M. S. Mironov, S. M. Novikov, A. V. Arsenin, V. S. Volkov. Ultrathin and ultrasmooth gold films on monolayer MoS₂. Adv. Mater. Interfaces 6, 1900196 (2019) (Numerical data kindly provided by Georgy Ermolaev)

doi:10.1002/admi.201900196 Ultrathin and Ultrasmooth Gold Films on Monolayer MoS <sub>2</sub>, Advanced Materials Interfaces (2019)

Cite

Dmitry I. Yakubovsky et al.. Ultrathin and Ultrasmooth Gold Films on Monolayer MoS <sub>2</sub>. Advanced Materials Interfaces, 6, 1900196 (2019), doi:10.1002/admi.201900196; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

301 rows as published

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

Au (Gold), Yakubovsky et al. 2019: 6-nm film; n,k 0.30–3.3 µm: n and k versus wavelength
λ (µm)	n	k
0.3	1.536	1.286
0.31	1.341	1.461
0.32	1.367	1.643
0.33	1.405	1.829
0.34	1.648	2.026
0.35	2.103	1.577
0.36	2.1	1.447
0.37	2.042	1.346
0.38	1.958	1.315
0.39	1.917	1.286
0.4	1.871	1.232
0.41	1.795	1.158
0.42	1.673	1.079
0.43	1.326	1.246
0.44	1.11	1.463
0.45	1.139	1.527
0.46	1.183	1.591
0.47	1.217	1.608
0.48	1.196	1.603
0.49	1.13	1.582
0.5	1.013	1.586
0.51	0.872	1.672
0.52	0.79	1.843
0.53	0.742	1.958
0.54	0.714	2.058
0.55	0.688	2.149
0.56	0.666	2.235
0.57	0.644	2.318
0.58	0.615	2.398
0.59	0.583	2.474
0.6	0.588	2.547
0.61	0.547	2.626
0.62	0.49	2.715
0.63	0.441	2.889
0.64	0.534	2.998
0.65	0.549	3.04
0.66	0.538	3.084
0.67	0.48	3.158
0.68	0.451	3.24
0.69	0.581	3.306
0.7	0.585	3.356
0.71	0.575	3.372
0.72	0.577	3.444
0.73	0.562	3.509
0.74	0.55	3.577
0.75	0.536	3.659
0.76	0.522	3.733
0.77	0.529	3.799
0.78	0.516	3.864
0.79	0.509	3.932
0.8	0.51	3.993
0.81	0.503	4.063
0.82	0.474	4.178
0.83	0.51	4.221
0.84	0.497	4.282
0.85	0.497	4.368
0.86	0.471	4.506
0.87	0.464	4.58
0.88	0.454	4.675
0.89	0.457	4.8
0.9	0.468	4.806
0.91	0.47	4.867
0.92	0.494	4.898
0.93	0.485	4.986
0.94	0.488	5.056
0.95	0.498	5.114
0.96	0.504	5.179
0.97	0.499	5.265
0.98	0.512	5.318
0.99	0.51	5.4
1.0	0.536	5.426
1.01	0.528	5.522
1.02	0.541	5.575
1.03	0.537	5.651
1.04	0.546	5.716
1.05	0.553	5.782
1.06	0.565	5.836
1.07	0.57	5.906
1.08	0.575	5.974
1.09	0.589	6.018
1.1	0.592	6.091
1.11	0.597	6.156
1.12	0.609	6.205
1.13	0.614	6.274
1.14	0.618	6.335
1.15	0.627	6.399
1.16	0.633	6.462
1.17	0.637	6.531
1.18	0.647	6.574
1.19	0.657	6.634
1.2	0.664	6.695
1.21	0.67	6.759
1.22	0.677	6.818
1.23	0.684	6.875
1.24	0.692	6.935
1.25	0.697	7.0
1.26	0.705	7.071
1.27	0.713	7.109
1.28	0.719	7.172
1.29	0.727	7.23
1.3	0.734	7.293
1.31	0.739	7.35
1.32	0.748	7.411
1.33	0.755	7.469
1.34	0.762	7.527
1.35	0.77	7.585
1.36	0.774	7.651
1.37	0.781	7.701
1.38	0.786	7.753
1.39	0.794	7.817
1.4	0.8	7.874
1.41	0.807	7.937
1.42	0.813	7.991
1.43	0.819	8.045
1.44	0.825	8.1
1.45	0.832	8.161
1.46	0.838	8.224
1.47	0.844	8.292
1.48	0.847	8.33
1.49	0.855	8.389
1.5	0.858	8.451
1.51	0.863	8.512
1.52	0.87	8.572
1.53	0.877	8.628
1.54	0.883	8.695
1.55	0.888	8.744
1.56	0.89	8.803
1.57	0.899	8.86
1.58	0.909	8.925
1.59	0.909	8.985
1.6	0.916	9.044
1.61	0.921	9.101
1.62	0.927	9.157
1.63	0.931	9.22
1.64	0.945	9.281
1.65	0.948	9.342
1.66	0.957	9.4
1.67	0.962	9.467
1.68	0.969	9.518
1.69	0.974	9.578
1.7	0.982	9.637
1.71	0.99	9.696
1.72	0.998	9.761
1.73	1.004	9.814
1.74	1.008	9.869
1.75	1.017	9.929
1.76	1.023	9.988
1.77	1.03	10.046
1.78	1.037	10.104
1.79	1.044	10.161
1.8	1.052	10.221
1.81	1.058	10.279
1.82	1.064	10.337
1.83	1.071	10.396
1.84	1.08	10.454
1.85	1.089	10.514
1.86	1.096	10.567
1.87	1.105	10.633
1.88	1.114	10.69
1.89	1.119	10.74
1.9	1.134	10.818
1.91	1.145	10.881
1.92	1.153	10.941
1.93	1.163	11.001
1.94	1.172	11.058
1.95	1.18	11.115
1.96	1.188	11.174
1.97	1.196	11.233
1.98	1.205	11.291
1.99	1.215	11.351
2.0	1.222	11.407
2.01	1.233	11.47
2.02	1.24	11.527
2.03	1.247	11.577
2.04	1.257	11.632
2.05	1.267	11.696
2.06	1.276	11.754
2.07	1.285	11.814
2.08	1.297	11.871
2.09	1.305	11.929
2.1	1.315	11.985
2.11	1.326	12.043
2.12	1.336	12.101
2.13	1.344	12.157
2.14	1.355	12.216
2.15	1.361	12.272
2.16	1.37	12.328
2.17	1.383	12.388
2.18	1.392	12.445
2.19	1.401	12.502
2.2	1.412	12.558
2.21	1.42	12.613
2.22	1.433	12.674
2.23	1.443	12.731
2.24	1.454	12.788
2.25	1.466	12.845
2.26	1.475	12.902
2.27	1.485	12.958
2.28	1.498	13.015
2.29	1.509	13.072
2.3	1.518	13.13
2.31	1.529	13.187
2.32	1.54	13.239
2.33	1.547	13.295
2.34	1.559	13.352
2.35	1.568	13.411
2.36	1.579	13.467
2.37	1.587	13.52
2.38	1.598	13.579
2.39	1.608	13.635
2.4	1.615	13.692
2.41	1.678	13.763
2.42	1.687	13.821
2.43	1.702	13.878
2.44	1.707	13.934
2.45	1.717	13.989
2.46	1.726	14.05
2.47	1.742	14.118
2.48	1.75	14.169
2.49	1.76	14.223
2.5	1.772	14.284
2.51	1.778	14.339
2.52	1.79	14.391
2.53	1.799	14.446
2.54	1.813	14.496
2.55	1.819	14.556
2.56	1.842	14.624
2.57	1.848	14.672
2.58	1.851	14.733
2.59	1.871	14.789
2.6	1.893	14.856
2.61	1.901	14.907
2.62	1.91	14.973
2.63	1.922	15.033
2.64	1.935	15.09
2.65	1.939	15.12
2.66	1.939	15.168
2.67	1.96	15.235
2.68	2.001	15.325
2.69	2.0	15.378
2.7	1.989	15.415
2.71	1.984	15.461
2.72	2.018	15.52
2.73	2.029	15.59
2.74	2.046	15.658
2.75	2.066	15.706
2.76	2.073	15.766
2.77	2.09	15.836
2.78	2.109	15.896
2.79	2.129	15.948
2.8	2.148	16.004
2.81	2.152	16.057
2.82	2.159	16.118
2.83	2.176	16.17
2.84	2.194	16.231
2.85	2.203	16.284
2.86	2.219	16.345
2.87	2.229	16.399
2.88	2.239	16.459
2.89	2.259	16.521
2.9	2.272	16.569
2.91	2.286	16.625
2.92	2.292	16.686
2.93	2.301	16.747
2.94	2.312	16.805
2.95	2.321	16.865
2.96	2.344	16.92
2.97	2.363	16.973
2.98	2.375	17.036
2.99	2.397	17.101
3.0	2.407	17.138
3.01	2.417	17.193
3.02	2.443	17.252
3.03	2.446	17.313
3.04	2.465	17.384
3.05	2.47	17.44
3.06	2.49	17.496
3.07	2.498	17.549
3.08	2.518	17.612
3.09	2.53	17.672
3.1	2.538	17.723
3.11	2.553	17.783
3.12	2.558	17.833
3.13	2.56	17.886
3.14	2.589	17.95
3.15	2.604	17.993
3.16	2.62	18.058
3.17	2.634	18.127
3.18	2.643	18.182
3.19	2.665	18.243
3.2	2.676	18.289
3.21	2.693	18.345
3.22	2.716	18.403
3.23	2.718	18.469
3.24	2.724	18.501
3.25	2.745	18.564
3.26	2.762	18.627
3.27	2.787	18.682
3.28	2.793	18.784
3.29	2.832	18.821
3.3	2.827	18.875

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