Axis Log x Log y

Click the plot to set the calculator wavelength.

At one wavelength

Refractive index n: 0.31
Extinction coefficient k: 2.79344

Permittivity ε₁: -7.70721
Permittivity ε₂: 1.73193

Absorption coefficient α: 597403 cm⁻¹
Penetration depth δ = λ/(2πk): 33.4782 nm

Abbe number V_d: —
Chromatic dispersion dn/dλ: -2.5 µm⁻¹

Group index n_g: 1.779
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: 9-nm film; n,k 0.30–3.3 µm
au = ls.fetch_refractiveindex("main", "Au", "Yakubovsky-9nm", 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_e2bd94549afc/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-2019-9nm).

# ... 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 = 9.0 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: 9.0e-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: 9-nm film; n,k 0.30–3.3 µm: n and k versus wavelength
λ (µm)	n	k
0.3	1.566	1.627
0.31	1.448	1.714
0.32	1.45	1.884
0.33	1.689	1.99
0.34	1.899	1.832
0.35	1.934	1.737
0.36	1.853	1.646
0.37	1.799	1.636
0.38	1.773	1.639
0.39	1.75	1.637
0.4	1.713	1.62
0.41	1.662	1.576
0.42	1.572	1.546
0.43	1.462	1.561
0.44	1.377	1.622
0.45	1.334	1.686
0.46	1.313	1.711
0.47	1.276	1.695
0.48	1.19	1.676
0.49	1.058	1.671
0.5	0.904	1.715
0.51	0.767	1.808
0.52	0.682	1.95
0.53	0.599	2.065
0.54	0.53	2.182
0.55	0.466	2.298
0.56	0.412	2.421
0.57	0.362	2.548
0.58	0.329	2.684
0.59	0.304	2.828
0.6	0.313	2.945
0.61	0.313	3.067
0.62	0.312	3.185
0.63	0.324	3.333
0.64	0.394	3.418
0.65	0.406	3.461
0.66	0.386	3.514
0.67	0.349	3.588
0.68	0.334	3.747
0.69	0.426	3.806
0.7	0.425	3.852
0.71	0.419	4.007
0.72	0.407	4.062
0.73	0.387	4.12
0.74	0.372	4.18
0.75	0.364	4.228
0.76	0.359	4.301
0.77	0.36	4.37
0.78	0.354	4.449
0.79	0.357	4.527
0.8	0.36	4.602
0.81	0.361	4.679
0.82	0.354	4.764
0.83	0.371	4.821
0.84	0.367	4.903
0.85	0.371	4.972
0.86	0.365	5.057
0.87	0.363	5.135
0.88	0.363	5.211
0.89	0.381	5.26
0.9	0.376	5.343
0.91	0.381	5.411
0.92	0.386	5.476
0.93	0.383	5.561
0.94	0.384	5.637
0.95	0.389	5.704
0.96	0.394	5.772
0.97	0.393	5.861
0.98	0.399	5.923
0.99	0.401	6.004
1.0	0.411	6.05
1.01	0.411	6.143
1.02	0.418	6.199
1.03	0.417	6.28
1.04	0.421	6.35
1.05	0.426	6.424
1.06	0.433	6.484
1.07	0.438	6.561
1.08	0.444	6.638
1.09	0.451	6.69
1.1	0.456	6.769
1.11	0.462	6.841
1.12	0.468	6.899
1.13	0.474	6.973
1.14	0.481	7.044
1.15	0.487	7.113
1.16	0.494	7.184
1.17	0.5	7.26
1.18	0.506	7.311
1.19	0.512	7.378
1.2	0.518	7.444
1.21	0.524	7.517
1.22	0.532	7.585
1.23	0.538	7.649
1.24	0.544	7.716
1.25	0.551	7.788
1.26	0.557	7.863
1.27	0.56	7.911
1.28	0.567	7.982
1.29	0.573	8.053
1.3	0.58	8.119
1.31	0.586	8.189
1.32	0.592	8.254
1.33	0.599	8.322
1.34	0.605	8.39
1.35	0.612	8.455
1.36	0.619	8.527
1.37	0.623	8.59
1.38	0.629	8.65
1.39	0.635	8.722
1.4	0.641	8.79
1.41	0.65	8.864
1.42	0.655	8.925
1.43	0.661	8.989
1.44	0.667	9.056
1.45	0.674	9.121
1.46	0.682	9.193
1.47	0.69	9.271
1.48	0.692	9.319
1.49	0.701	9.386
1.5	0.707	9.457
1.51	0.713	9.525
1.52	0.72	9.593
1.53	0.73	9.66
1.54	0.736	9.735
1.55	0.74	9.79
1.56	0.75	9.86
1.57	0.759	9.928
1.58	0.764	9.997
1.59	0.772	10.064
1.6	0.782	10.132
1.61	0.789	10.197
1.62	0.796	10.263
1.63	0.804	10.332
1.64	0.814	10.401
1.65	0.818	10.471
1.66	0.828	10.535
1.67	0.836	10.607
1.68	0.846	10.665
1.69	0.854	10.735
1.7	0.862	10.801
1.71	0.873	10.868
1.72	0.88	10.94
1.73	0.887	11.001
1.74	0.896	11.063
1.75	0.904	11.13
1.76	0.912	11.197
1.77	0.919	11.263
1.78	0.929	11.328
1.79	0.939	11.394
1.8	0.948	11.459
1.81	0.957	11.522
1.82	0.966	11.588
1.83	0.974	11.652
1.84	0.984	11.716
1.85	0.994	11.784
1.86	1.002	11.844
1.87	1.013	11.914
1.88	1.023	11.981
1.89	1.03	12.038
1.9	1.046	12.129
1.91	1.057	12.199
1.92	1.07	12.267
1.93	1.081	12.334
1.94	1.091	12.398
1.95	1.102	12.465
1.96	1.112	12.53
1.97	1.123	12.594
1.98	1.134	12.66
1.99	1.145	12.725
2.0	1.158	12.792
2.01	1.17	12.861
2.02	1.181	12.926
2.03	1.19	12.984
2.04	1.2	13.045
2.05	1.213	13.116
2.06	1.224	13.179
2.07	1.236	13.249
2.08	1.25	13.316
2.09	1.261	13.378
2.1	1.273	13.441
2.11	1.284	13.505
2.12	1.296	13.571
2.13	1.307	13.633
2.14	1.318	13.695
2.15	1.331	13.759
2.16	1.343	13.825
2.17	1.355	13.889
2.18	1.366	13.952
2.19	1.378	14.013
2.2	1.391	14.078
2.21	1.404	14.142
2.22	1.418	14.207
2.23	1.432	14.27
2.24	1.445	14.331
2.25	1.458	14.395
2.26	1.473	14.461
2.27	1.486	14.524
2.28	1.5	14.587
2.29	1.512	14.649
2.3	1.526	14.711
2.31	1.537	14.776
2.32	1.548	14.836
2.33	1.563	14.896
2.34	1.576	14.96
2.35	1.588	15.021
2.36	1.599	15.084
2.37	1.613	15.147
2.38	1.631	15.208
2.39	1.643	15.271
2.4	1.656	15.332
2.41	1.72	15.379
2.42	1.733	15.445
2.43	1.744	15.508
2.44	1.759	15.57
2.45	1.77	15.629
2.46	1.786	15.688
2.47	1.805	15.755
2.48	1.812	15.809
2.49	1.822	15.866
2.5	1.836	15.929
2.51	1.851	15.995
2.52	1.862	16.057
2.53	1.873	16.118
2.54	1.89	16.177
2.55	1.904	16.24
2.56	1.92	16.3
2.57	1.929	16.354
2.58	1.938	16.409
2.59	1.961	16.478
2.6	1.98	16.556
2.61	1.991	16.625
2.62	2.0	16.671
2.63	2.017	16.732
2.64	2.035	16.801
2.65	2.04	16.844
2.66	2.033	16.883
2.67	2.049	16.959
2.68	2.066	17.038
2.69	2.085	17.09
2.7	2.097	17.14
2.71	2.1	17.202
2.72	2.118	17.285
2.73	2.116	17.317
2.74	2.156	17.397
2.75	2.186	17.478
2.76	2.2	17.529
2.77	2.21	17.594
2.78	2.218	17.652
2.79	2.238	17.715
2.8	2.263	17.79
2.81	2.278	17.842
2.82	2.285	17.908
2.83	2.294	17.957
2.84	2.315	18.014
2.85	2.332	18.072
2.86	2.343	18.136
2.87	2.356	18.201
2.88	2.372	18.272
2.89	2.373	18.326
2.9	2.398	18.385
2.91	2.413	18.451
2.92	2.42	18.505
2.93	2.437	18.568
2.94	2.461	18.625
2.95	2.464	18.68
2.96	2.477	18.735
2.97	2.497	18.805
2.98	2.505	18.865
2.99	2.525	18.919
3.0	2.554	18.982
3.01	2.564	19.032
3.02	2.59	19.103
3.03	2.585	19.157
3.04	2.596	19.219
3.05	2.603	19.291
3.06	2.618	19.349
3.07	2.626	19.4
3.08	2.656	19.476
3.09	2.663	19.523
3.1	2.671	19.571
3.11	2.679	19.637
3.12	2.691	19.698
3.13	2.71	19.757
3.14	2.728	19.82
3.15	2.743	19.872
3.16	2.755	19.936
3.17	2.761	19.981
3.18	2.79	20.051
3.19	2.8	20.112
3.2	2.825	20.183
3.21	2.822	20.232
3.22	2.823	20.292
3.23	2.86	20.35
3.24	2.877	20.412
3.25	2.88	20.468
3.26	2.9	20.514
3.27	2.931	20.592
3.28	2.909	20.626
3.29	2.903	20.679
3.3	2.908	20.737

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