At one wavelength

Refractive index n: 0.584289
Extinction coefficient k: 2.96955

Permittivity ε₁: -8.47682
Permittivity ε₂: 3.47015

Absorption coefficient α: 635065 cm⁻¹
Penetration depth δ = λ/(2πk): 31.4928 nm

Abbe number V_d: —
Chromatic dispersion dn/dλ: -3.34681 µm⁻¹

Group index n_g: 2.55087
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): Lemarchand 2013: 5.77-nm film; n,k 0.35–1.8 µm
au = ls.fetch_refractiveindex("main", "Au", "Lemarchand-5.77nm", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(au.range_nm)  # (350, 1800) 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_332b5058fb95/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/lemarchand-2013-5-77nm).

# ... 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

5.77-nm monolayer deposited using the magnetron sputtering technique; thicknesses determined by X-ray diffraction.

References

F. Lemarchand, private communications (2013). Index determination is performed using method explained in:
L. Gao, F. Lemarchand, M. Lequime. Comparison of different dispersion models for single layer optical thin film index determination. Thin Solid Films 520, 501-509 (2011)

doi:10.1016/j.tsf.2011.07.028 Comparison of different dispersion models for single layer optical thin film index determination, Thin Solid Films (2011)

Cite

F. Lemarchand, private communications (2013). Index determination is performed using method explained in:; Lihong Gao, Fabien Lemarchand and Michel Lequime. Comparison of different dispersion models for single layer optical thin film index determination. Thin Solid Films, 520, 501-509 (2011), doi:10.1016/j.tsf.2011.07.028; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

291 rows as published

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

Au (Gold), Lemarchand 2013: 5.77-nm film; n,k 0.35–1.8 µm: n and k versus wavelength
λ (µm)	n	k
0.35	2.01869685	1.77650576
0.355	1.99056553	1.79493505
0.36	1.96497474	1.81463553
0.365	1.94200362	1.83517271
0.37	1.92166936	1.8560856
0.375	1.90391856	1.87689635
0.38	1.88862003	1.89712228
0.385	1.87555964	1.91628999
0.39	1.86443794	1.93395148
0.395	1.85487098	1.94970159
0.4	1.84639507	1.96319644
0.405	1.83847593	1.97417159
0.41	1.83052264	1.98245914
0.415	1.82190615	1.98800195
0.42	1.8119819	1.99086384
0.425	1.8001154	1.99123427
0.43	1.78570899	1.98942671
0.435	1.76822814	1.98587033
0.44	1.74722504	1.98109544
0.445	1.72235822	1.97571388
0.45	1.69340667	1.9703956
0.455	1.66027847	1.96584338
0.46	1.62301369	1.962767
0.465	1.5817824	1.96185817
0.47	1.53687828	1.96376672
0.475	1.48870851	1.96907853
0.48	1.43778003	1.97829523
0.485	1.3846821	1.99181596
0.49	1.33006484	2.00992213
0.495	1.27461363	2.03276632
0.5	1.21902032	2.06036721
0.505	1.16395268	2.09261226
0.51	1.11002513	2.12926886
0.515	1.05777367	2.17000365
0.52	1.00763814	2.21440802
0.525	0.95995331	2.26202645
0.53	0.91494884	2.31238451
0.535	0.87275691	2.36501329
0.54	0.83342505	2.41946853
0.545	0.79693167	2.4753437
0.55	0.76320219	2.53227743
0.555	0.7321239	2.58995623
0.56	0.70355902	2.6481138
0.565	0.67735515	2.70652801
0.57	0.65335345	2.76501656
0.575	0.6313947	2.82343216
0.58	0.61132349	2.88165761
0.585	0.59299106	2.93960114
0.59	0.57625702	2.99719222
0.595	0.56099027	3.05437783
0.6	0.54706932	3.11111932
0.605	0.53438231	3.16738966
0.61	0.52282663	3.22317117
0.615	0.51230849	3.27845369
0.62	0.50274235	3.333233
0.625	0.49405034	3.38750956
0.63	0.48616158	3.44128746
0.635	0.47901167	3.49457362
0.64	0.47254204	3.54737705
0.645	0.46669945	3.59970837
0.65	0.46143548	3.65157934
0.655	0.45670609	3.7030025
0.66	0.45247116	3.75399088
0.665	0.44869415	3.80455783
0.67	0.44534173	3.85471679
0.675	0.44238348	3.90448119
0.68	0.4397916	3.95386429
0.685	0.43754067	4.00287918
0.69	0.43560741	4.05153865
0.695	0.43397049	4.09985517
0.7	0.43261034	4.14784087
0.705	0.43150897	4.19550749
0.71	0.43064985	4.24286639
0.715	0.43001776	4.28992853
0.72	0.42959867	4.33670448
0.725	0.42937964	4.38320439
0.73	0.42934873	4.42943805
0.735	0.42949488	4.47541485
0.74	0.42980788	4.52114379
0.745	0.43027825	4.56663355
0.75	0.43089721	4.61189241
0.755	0.43165661	4.65692834
0.76	0.43254887	4.70174896
0.765	0.43356696	4.74636159
0.77	0.43470431	4.79077324
0.775	0.43595481	4.83499063
0.78	0.43731278	4.8790202
0.785	0.43877289	4.92286812
0.79	0.44033017	4.96654032
0.795	0.44197999	5.01004247
0.8	0.44371799	5.05338001
0.805	0.4455401	5.09655816
0.81	0.44744252	5.13958192
0.815	0.44942165	5.1824561
0.82	0.45147415	5.22518531
0.825	0.45359686	5.26777398
0.83	0.45578681	5.31022634
0.835	0.45804121	5.35254649
0.84	0.46035744	5.39473835
0.845	0.46273301	5.43680567
0.85	0.4651656	5.47875209
0.855	0.467653	5.52058108
0.86	0.47019314	5.56229598
0.865	0.47278406	5.60390003
0.87	0.47542389	5.64539632
0.875	0.47811089	5.68678783
0.88	0.4808434	5.72807743
0.885	0.48361983	5.7692679
0.89	0.48643871	5.81036189
0.895	0.48929863	5.85136197
0.9	0.49219823	5.89227062
0.905	0.49513626	5.93309022
0.91	0.4981115	5.97382308
0.915	0.50112281	6.01447142
0.92	0.5041691	6.05503737
0.925	0.50724933	6.09552302
0.93	0.51036252	6.13593035
0.935	0.51350773	6.17626129
0.94	0.51668406	6.21651771
0.945	0.51989067	6.25670142
0.95	0.52312673	6.29681414
0.955	0.52639148	6.33685756
0.96	0.52968418	6.37683331
0.965	0.53300411	6.41674297
0.97	0.53635061	6.45658805
0.975	0.53972304	6.49637004
0.98	0.54312077	6.53609035
0.985	0.54654322	6.57575038
0.99	0.54998983	6.61535145
0.995	0.55346005	6.65489487
1.0	0.55695337	6.69438189
1.005	0.56046929	6.73381373
1.01	0.56400735	6.77319158
1.015	0.56756708	6.81251657
1.02	0.57114806	6.85178982
1.025	0.57474985	6.8910124
1.03	0.57837207	6.93018535
1.035	0.58201433	6.96930971
1.04	0.58567625	7.00838644
1.045	0.58935749	7.04741651
1.05	0.5930577	7.08640083
1.055	0.59677654	7.12534033
1.06	0.60051371	7.16423587
1.065	0.60426891	7.2030883
1.07	0.60804183	7.24189845
1.075	0.61183219	7.28066713
1.08	0.61563974	7.31939512
1.085	0.61946419	7.35808318
1.09	0.62330531	7.39673205
1.095	0.62716285	7.43534245
1.1	0.63103656	7.47391509
1.105	0.63492624	7.51245064
1.11	0.63883166	7.55094976
1.115	0.6427526	7.58941311
1.12	0.64668887	7.62784132
1.125	0.65064026	7.66623499
1.13	0.6546066	7.70459473
1.135	0.65858768	7.74292111
1.14	0.66258335	7.78121471
1.145	0.66659341	7.81947608
1.15	0.67061772	7.85770576
1.155	0.6746561	7.89590426
1.16	0.6787084	7.93407211
1.165	0.68277448	7.9722098
1.17	0.68685418	8.01031783
1.175	0.69094736	8.04839666
1.18	0.69505388	8.08644676
1.185	0.69917362	8.12446858
1.19	0.70330644	8.16246257
1.195	0.70745221	8.20042915
1.2	0.71161082	8.23836876
1.205	0.71578215	8.27628179
1.21	0.71996609	8.31416865
1.215	0.72416251	8.35202974
1.22	0.72837132	8.38986543
1.225	0.73259241	8.4276761
1.23	0.73682567	8.46546212
1.235	0.74107101	8.50322385
1.24	0.74532833	8.54096163
1.245	0.74959753	8.5786758
1.25	0.75387854	8.6163667
1.255	0.75817124	8.65403466
1.26	0.76247557	8.69168
1.265	0.76679143	8.72930302
1.27	0.77111874	8.76690404
1.275	0.77545743	8.80448335
1.28	0.77980741	8.84204124
1.285	0.7841686	8.87957801
1.29	0.78854095	8.91709392
1.295	0.79292436	8.95458927
1.3	0.79731877	8.99206431
1.305	0.80172412	9.0295193
1.31	0.80614033	9.06695451
1.315	0.81056733	9.10437019
1.32	0.81500508	9.14176658
1.325	0.81945349	9.17914393
1.33	0.82391251	9.21650247
1.335	0.82838209	9.25384243
1.34	0.83286216	9.29116404
1.345	0.83735266	9.32846753
1.35	0.84185354	9.36575311
1.355	0.84636474	9.403021
1.36	0.85088622	9.4402714
1.365	0.85541791	9.47750452
1.37	0.85995977	9.51472057
1.375	0.86451174	9.55191974
1.38	0.86907379	9.58910223
1.385	0.87364585	9.62626822
1.39	0.87822788	9.6634179
1.395	0.88281984	9.70055145
1.4	0.88742168	9.73766906
1.405	0.89203335	9.7747709
1.41	0.89665481	9.81185714
1.415	0.90128602	9.84892796
1.42	0.90592694	9.88598351
1.425	0.91057753	9.92302396
1.43	0.91523774	9.96004948
1.435	0.91990753	9.99706022
1.44	0.92458687	10.03405633
1.445	0.92927572	10.07103796
1.45	0.93397403	10.10800527
1.455	0.93868179	10.1449584
1.46	0.94339893	10.1818975
1.465	0.94812544	10.2188227
1.47	0.95286127	10.25573415
1.475	0.9576064	10.29263197
1.48	0.96236078	10.32951631
1.485	0.96712439	10.36638729
1.49	0.97189718	10.40324505
1.495	0.97667914	10.44008971
1.5	0.98221675	10.47672483
1.505	0.98843434	10.51316884
1.51	0.99467151	10.54959522
1.515	1.00092825	10.58600409
1.52	1.00720452	10.62239553
1.525	1.0135003	10.65876963
1.53	1.01981556	10.69512648
1.535	1.02615028	10.73146618
1.54	1.03250442	10.7677888
1.545	1.03887798	10.80409444
1.55	1.04527091	10.84038318
1.555	1.0516832	10.87665509
1.56	1.05811482	10.91291027
1.565	1.06456575	10.94914878
1.57	1.07103595	10.98537071
1.575	1.07752542	11.02157613
1.58	1.08403412	11.05776511
1.585	1.09056203	11.09393772
1.59	1.09710913	11.13009404
1.595	1.10367539	11.16623414
1.6	1.1102608	11.20235808
1.605	1.11686532	11.23846593
1.61	1.12348894	11.27455775
1.615	1.13013163	11.31063362
1.62	1.13679337	11.34669358
1.625	1.14347414	11.38273771
1.63	1.15017391	11.41876606
1.635	1.15689267	11.45477869
1.64	1.16363039	11.49077566
1.645	1.17038705	11.52675702
1.65	1.17716263	11.56272284
1.655	1.1839571	11.59867316
1.66	1.19077045	11.63460804
1.665	1.19760266	11.67052753
1.67	1.2044537	11.70643168
1.675	1.21132354	11.74232054
1.68	1.21821218	11.77819416
1.685	1.22511959	11.81405259
1.69	1.23204575	11.84989588
1.695	1.23899063	11.88572406
1.7	1.24595423	11.9215372
1.705	1.25293651	11.95733532
1.71	1.25993745	11.99311848
1.715	1.26695704	12.02888671
1.72	1.27399526	12.06464006
1.725	1.28105208	12.10037857
1.73	1.28812748	12.13610227
1.735	1.29522145	12.17181121
1.74	1.30233396	12.20750543
1.745	1.309465	12.24318496
1.75	1.31661454	12.27884984
1.755	1.32378257	12.31450011
1.76	1.33096906	12.35013579
1.765	1.33817399	12.38575693
1.77	1.34539735	12.42136356
1.775	1.35263911	12.45695571
1.78	1.35989926	12.49253341
1.785	1.36717777	12.5280967
1.79	1.37447463	12.5636456
1.795	1.38178981	12.59918015
1.8	1.3891233	12.63470038

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