At one wavelength

Refractive index n: 0.39472
Extinction coefficient k: 2.62476

Permittivity ε₁: -6.73356
Permittivity ε₂: 2.07209

Absorption coefficient α: 561329 cm⁻¹
Penetration depth δ = λ/(2πk): 35.6297 nm

Abbe number V_d: —
Chromatic dispersion dn/dλ: -7.8 µm⁻¹

Group index n_g: 4.978
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

# Cu (Copper): Querry 1985: n,k 0.21–55.6 µm
cu = ls.fetch_refractiveindex("main", "Cu", "Querry", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cu.range_nm)  # (210, 55555.6) nm
eps = cu.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_ff3ff6aed380/lightsmith"
cu = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(cu.source)  # citation and provenance travel with the data

Any dataset here, as the library's Tabulated material (cu/querry-1985).

# ... load cu as above, then:
sim = ls.Simulation(
    particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=cu)],
    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

Cu ingot.

References

M. R. Querry. Optical constants, Contractor Report CRDC-CR-85034 (1985)

Cite

M. R. Querry. Optical constants, Contractor Report CRDC-CR-85034 (1985); Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

612 rows as published

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

Cu (Copper), Querry 1985: n,k 0.21–55.6 µm: n and k versus wavelength
λ (µm)	n	k
0.21	1.243	1.376
0.22	1.315	1.439
0.23	1.404	1.49
0.24	1.497	1.5
0.25	1.567	1.474
0.26	1.6	1.431
0.27	1.598	1.391
0.28	1.569	1.365
0.29	1.522	1.36
0.3	1.47	1.38
0.31	1.428	1.421
0.32	1.4	1.467
0.33	1.379	1.511
0.34	1.359	1.552
0.35	1.338	1.593
0.36	1.316	1.637
0.37	1.297	1.683
0.38	1.279	1.728
0.39	1.263	1.773
0.4	1.247	1.818
0.41	1.229	1.862
0.42	1.212	1.907
0.43	1.196	1.952
0.44	1.18	1.998
0.45	1.167	2.042
0.46	1.155	2.083
0.47	1.142	2.119
0.48	1.126	2.154
0.49	1.11	2.186
0.5	1.093	2.215
0.51	1.073	2.235
0.52	1.046	2.244
0.53	1.002	2.242
0.54	0.93	2.238
0.55	0.825	2.248
0.56	0.696	2.293
0.57	0.565	2.382
0.58	0.454	2.51
0.59	0.376	2.661
0.6	0.334	2.815
0.61	0.317	2.957
0.62	0.314	3.083
0.63	0.317	3.197
0.64	0.321	3.302
0.65	0.326	3.4
0.66	0.329	3.492
0.67	0.332	3.583
0.68	0.335	3.671
0.69	0.339	3.757
0.7	0.343	3.841
0.71	0.347	3.923
0.72	0.35	4.004
0.73	0.354	4.084
0.74	0.357	4.162
0.75	0.36	4.24
0.76	0.363	4.318
0.77	0.367	4.396
0.78	0.371	4.474
0.79	0.377	4.55
0.8	0.383	4.626
0.81	0.39	4.699
0.82	0.397	4.772
0.83	0.403	4.843
0.84	0.41	4.913
0.85	0.416	4.982
0.86	0.421	5.049
0.87	0.425	5.116
0.88	0.427	5.184
0.89	0.431	5.253
0.9	0.434	5.321
0.91	0.437	5.387
0.92	0.439	5.455
0.93	0.441	5.522
0.94	0.443	5.589
0.95	0.443	5.656
0.96	0.444	5.725
0.97	0.445	5.795
0.98	0.448	5.865
0.99	0.454	5.934
1.0	0.459	6.0
1.0097	0.463	6.128
1.01	0.462	6.064
1.03	0.462	6.195
1.04	0.462	6.263
1.05	0.464	6.331
1.06	0.466	6.4
1.07	0.468	6.469
1.08	0.47	6.538
1.09	0.474	6.608
1.1	0.48	6.676
1.11	0.487	6.743
1.12	0.492	6.807
1.13	0.496	6.87
1.14	0.497	6.935
1.15	0.499	7.001
1.16	0.502	7.067
1.17	0.503	7.133
1.18	0.505	7.201
1.19	0.509	7.269
1.2	0.515	7.337
1.21	0.522	7.402
1.22	0.526	7.464
1.23	0.528	7.528
1.24	0.528	7.594
1.25	0.532	7.662
1.26	0.537	7.73
1.27	0.543	7.795
1.28	0.548	7.859
1.29	0.553	7.924
1.3	0.558	7.989
1.31	0.563	8.052
1.32	0.568	8.116
1.3314	0.572	8.179
1.34	0.577	8.242
1.35	0.581	8.305
1.36	0.585	8.367
1.37	0.589	8.429
1.38	0.591	8.491
1.39	0.593	8.553
1.4	0.595	8.617
1.41	0.597	8.68
1.42	0.599	8.743
1.43	0.6	8.807
1.44	0.601	8.872
1.45	0.602	8.938
1.46	0.604	9.004
1.47	0.608	9.071
1.48	0.613	9.137
1.49	0.618	9.202
1.5	0.624	9.267
1.51	0.63	9.33
1.52	0.636	9.392
1.53	0.639	9.452
1.54	0.641	9.515
1.55	0.642	9.579
1.56	0.644	9.644
1.57	0.648	9.71
1.58	0.654	9.775
1.59	0.659	9.839
1.6	0.664	9.902
1.61	0.669	9.966
1.6201	0.675	10.03
1.63	0.681	10.093
1.6401	0.689	10.154
1.65	0.695	10.215
1.66	0.699	10.274
1.67	0.703	10.334
1.68	0.707	10.394
1.69	0.71	10.454
1.7	0.713	10.514
1.71	0.716	10.574
1.72	0.717	10.634
1.73	0.718	10.694
1.74	0.718	10.754
1.75	0.718	10.816
1.76	0.719	10.879
1.77	0.72	10.942
1.78	0.721	11.005
1.79	0.722	11.067
1.8	0.723	11.13
1.81	0.724	11.191
1.82	0.722	11.255
1.83	0.721	11.321
1.84	0.722	11.389
1.85	0.727	11.456
1.86	0.733	11.52
1.87	0.739	11.583
1.88	0.742	11.642
1.89	0.742	11.703
1.9	0.741	11.766
1.91	0.741	11.831
1.92	0.742	11.897
1.93	0.745	11.962
1.94	0.748	12.027
1.95	0.75	12.091
1.96	0.752	12.156
1.97	0.754	12.221
1.98	0.756	12.286
1.99	0.759	12.352
2.0	0.762	12.419
2.01	0.766	12.484
2.02	0.77	12.55
2.03	0.775	12.615
2.04	0.78	12.681
2.05	0.785	12.745
2.06	0.789	12.81
2.07	0.793	12.874
2.08	0.798	12.938
2.09	0.802	13.004
2.1	0.806	13.067
2.11	0.811	13.132
2.12	0.817	13.198
2.13	0.823	13.262
2.14	0.828	13.325
2.15	0.832	13.389
2.16	0.837	13.454
2.17	0.843	13.518
2.18	0.848	13.58
2.19	0.854	13.644
2.2	0.857	13.708
2.21	0.863	13.772
2.22	0.868	13.837
2.23	0.874	13.9
2.24	0.881	13.962
2.25	0.885	14.026
2.26	0.89	14.089
2.27	0.895	14.154
2.28	0.902	14.216
2.29	0.908	14.28
2.3	0.913	14.343
2.31	0.919	14.407
2.32	0.925	14.47
2.33	0.93	14.534
2.34	0.936	14.596
2.35	0.941	14.66
2.36	0.949	14.722
2.37	0.954	14.786
2.38	0.959	14.848
2.39	0.965	14.91
2.4	0.971	14.972
2.41	0.975	15.035
2.42	0.983	15.097
2.43	0.988	15.16
2.44	0.993	15.222
2.45	0.998	15.285
2.46	1.003	15.347
2.47	1.008	15.41
2.48	1.011	15.475
2.49	1.018	15.538
2.5	1.024	15.604
2.5063	1.029	15.644
2.5126	1.033	15.684
2.5189	1.038	15.724
2.5253	1.043	15.764
2.5316	1.048	15.804
2.5381	1.052	15.843
2.5445	1.056	15.884
2.551	1.061	15.924
2.5575	1.065	15.964
2.5641	1.069	16.005
2.5707	1.074	16.046
2.5773	1.078	16.087
2.584	1.082	16.129
2.5907	1.087	16.17
2.5974	1.091	16.212
2.6042	1.096	16.254
2.611	1.1	16.296
2.6178	1.105	16.338
2.6247	1.109	16.381
2.6316	1.113	16.424
2.6385	1.118	16.467
2.6455	1.122	16.51
2.6525	1.127	16.554
2.6596	1.132	16.598
2.6667	1.137	16.642
2.6738	1.142	16.686
2.681	1.147	16.73
2.6882	1.151	16.775
2.6954	1.156	16.819
2.7027	1.161	16.865
2.71	1.167	16.91
2.7174	1.172	16.955
2.7248	1.178	17.001
2.7322	1.183	17.046
2.7397	1.188	17.092
2.7473	1.193	17.138
2.7548	1.198	17.185
2.7624	1.204	17.231
2.7701	1.21	17.278
2.7778	1.215	17.325
2.7855	1.221	17.372
2.7933	1.226	17.42
2.8011	1.232	17.467
2.809	1.238	17.514
2.8169	1.243	17.562
2.8249	1.249	17.61
2.8329	1.254	17.658
2.8409	1.26	17.707
2.849	1.266	17.755
2.8571	1.271	17.804
2.8653	1.276	17.853
2.8736	1.282	17.903
2.8818	1.287	17.953
2.8902	1.293	18.003
2.8986	1.299	18.053
2.907	1.304	18.103
2.9155	1.309	18.153
2.924	1.314	18.204
2.9326	1.32	18.256
2.9412	1.325	18.307
2.9499	1.33	18.359
2.9586	1.334	18.411
2.9674	1.339	18.464
2.9762	1.344	18.517
2.9851	1.35	18.57
2.994	1.355	18.623
3.003	1.36	18.677
3.012	1.365	18.731
3.0211	1.37	18.786
3.0303	1.375	18.841
3.0395	1.38	18.896
3.0488	1.385	18.952
3.0581	1.39	19.008
3.0675	1.395	19.064
3.0769	1.4	19.121
3.0864	1.405	19.178
3.096	1.409	19.236
3.1056	1.414	19.294
3.1153	1.42	19.353
3.125	1.425	19.412
3.1348	1.43	19.471
3.1447	1.436	19.53
3.1546	1.441	19.59
3.1646	1.446	19.65
3.1746	1.451	19.711
3.1847	1.457	19.772
3.1949	1.462	19.834
3.2051	1.467	19.896
3.2154	1.472	19.959
3.2258	1.478	20.022
3.2362	1.483	20.085
3.2468	1.489	20.149
3.2573	1.494	20.214
3.268	1.501	20.28
3.2787	1.508	20.345
3.2895	1.514	20.41
3.3003	1.52	20.475
3.3113	1.526	20.541
3.3223	1.531	20.609
3.3333	1.538	20.676
3.3445	1.544	20.744
3.3557	1.551	20.813
3.367	1.557	20.881
3.3784	1.564	20.951
3.3898	1.57	21.02
3.4014	1.577	21.091
3.413	1.584	21.161
3.4247	1.591	21.232
3.4364	1.597	21.304
3.4483	1.604	21.377
3.4602	1.611	21.45
3.4722	1.619	21.523
3.4843	1.627	21.597
3.4965	1.635	21.67
3.5088	1.642	21.744
3.5211	1.649	21.82
3.5336	1.656	21.895
3.5461	1.664	21.972
3.5587	1.671	22.049
3.5714	1.68	22.127
3.5842	1.688	22.204
3.5971	1.696	22.282
3.6101	1.704	22.361
3.6232	1.712	22.441
3.6364	1.72	22.521
3.6496	1.728	22.602
3.663	1.736	22.684
3.6765	1.745	22.767
3.69	1.754	22.85
3.7037	1.764	22.933
3.7175	1.773	23.017
3.7313	1.783	23.101
3.7453	1.792	23.185
3.7594	1.802	23.27
3.7736	1.81	23.357
3.7879	1.819	23.444
3.8023	1.829	23.532
3.8168	1.839	23.621
3.8314	1.849	23.71
3.8462	1.859	23.8
3.861	1.87	23.89
3.876	1.881	23.981
3.8911	1.892	24.073
3.9063	1.902	24.166
3.9216	1.913	24.259
3.937	1.924	24.353
3.9526	1.936	24.447
3.9683	1.947	24.543
3.9841	1.959	24.64
4.0	1.971	24.738
4.0161	1.984	24.836
4.0323	1.997	24.934
4.0486	2.01	25.034
4.065	2.025	25.134
4.0816	2.039	25.234
4.0984	2.053	25.334
4.1152	2.066	25.434
4.1322	2.079	25.537
4.1494	2.092	25.641
4.1667	2.108	25.747
4.1841	2.124	25.852
4.2017	2.14	25.957
4.2194	2.156	26.061
4.2373	2.171	26.168
4.2553	2.186	26.275
4.2735	2.201	26.384
4.2918	2.216	26.494
4.3103	2.233	26.605
4.329	2.251	26.717
4.3478	2.27	26.828
4.3668	2.287	26.938
4.386	2.304	27.05
4.4053	2.321	27.163
4.4248	2.338	27.278
4.4444	2.356	27.393
4.4643	2.374	27.509
4.4843	2.391	27.626
4.5045	2.409	27.744
4.5249	2.429	27.863
4.5455	2.449	27.982
4.5662	2.468	28.101
4.5872	2.485	28.221
4.6083	2.505	28.343
4.6296	2.524	28.465
4.6512	2.544	28.597
4.6729	2.561	28.71
4.6948	2.579	28.836
4.717	2.597	28.963
4.7393	2.616	29.091
4.7619	2.636	29.218
4.7847	2.654	29.347
4.8077	2.673	29.477
4.8309	2.691	29.609
4.8544	2.71	29.742
4.878	2.728	29.876
4.902	2.748	30.01
4.9261	2.766	30.146
4.9505	2.785	30.282
4.9751	2.801	30.419
5.0	2.817	30.56
5.0251	2.834	30.703
5.0761	2.87	30.991
5.102	2.888	31.137
5.102	2.853	30.846
5.1282	2.905	31.286
5.1546	2.925	31.435
5.1813	2.943	31.584
5.2083	2.959	31.735
5.2356	2.975	31.889
5.2632	2.991	32.045
5.291	3.007	32.203
5.3191	3.024	32.364
5.3476	3.041	32.526
5.3763	3.058	32.69
5.4054	3.075	32.856
5.4348	3.093	33.025
5.4645	3.111	33.195
5.4945	3.128	33.366
5.5249	3.145	33.54
5.5556	3.162	33.717
5.5866	3.179	33.896
5.618	3.199	34.077
5.6497	3.216	34.26
5.6818	3.232	34.446
5.7143	3.249	34.636
5.7471	3.269	34.83
5.7803	3.29	35.025
5.814	3.311	35.223
5.848	3.332	35.422
5.8824	3.354	35.625
5.9172	3.377	35.83
5.9524	3.399	36.039
5.988	3.425	36.251
6.0241	3.452	36.464
6.0606	3.481	36.679
6.0976	3.509	36.894
6.135	3.535	37.113
6.1728	3.562	37.337
6.2112	3.591	37.563
6.25	3.623	37.791
6.2893	3.653	38.022
6.3291	3.684	38.257
6.3694	3.715	38.496
6.4103	3.752	38.738
6.4516	3.788	38.981
6.4935	3.827	39.225
6.5359	3.865	39.472
6.5789	3.903	39.721
6.6225	3.939	39.976
6.6667	3.979	40.234
6.7114	4.022	40.496
6.7568	4.068	40.758
6.8027	4.111	41.022
6.8493	4.155	41.289
6.8966	4.198	41.561
6.9444	4.245	41.837
6.993	4.292	42.116
7.0423	4.342	42.398
7.0922	4.393	42.68
7.1429	4.442	42.966
7.1942	4.491	43.255
7.2464	4.54	43.55
7.2993	4.591	43.949
7.3529	4.642	44.152
7.4074	4.695	44.459
7.4627	4.748	44.77
7.5188	4.804	45.087
7.5758	4.861	45.406
7.6336	4.922	45.728
7.6923	4.98	46.051
7.7519	5.036	46.379
7.8125	5.091	46.714
7.874	5.147	47.056
7.9365	5.205	47.404
8.0	5.264	47.758
8.0645	5.327	48.118
8.1301	5.392	48.481
8.1967	5.457	48.847
8.2645	5.52	49.22
8.3333	5.585	49.6
8.4034	5.652	49.987
8.4746	5.72	50.379
8.547	5.789	50.778
8.6207	5.86	51.184
8.6957	5.933	51.597
8.7719	6.007	52.016
8.8496	6.083	52.442
8.9286	6.161	52.875
9.009	6.24	53.316
9.0909	6.321	53.764
9.1743	6.405	54.22
9.2593	6.49	54.683
9.3458	6.577	55.155
9.434	6.666	55.656
9.5238	6.758	56.127
9.6154	6.857	56.625
9.7087	6.957	57.129
9.8039	7.06	57.64
9.901	7.16	58.161
10.0	7.264	58.695
10.101	7.375	59.238
10.2041	7.489	59.791
10.3093	7.61	60.349
10.4167	7.729	60.918
10.5263	7.856	61.494
10.6383	7.98	62.08
10.7527	8.113	62.675
10.8696	8.243	63.278
10.989	8.376	63.891
11.1111	8.507	64.517
11.236	8.642	65.157
11.3636	8.78	65.81
11.4943	8.922	66.474
11.6279	9.068	67.151
11.7647	9.217	67.838
11.9048	9.363	68.539
12.0482	9.514	69.257
12.1951	9.669	69.99
12.3457	9.834	70.732
12.5	9.995	71.482
12.6582	10.152	72.246
12.8205	10.305	73.028
12.987	10.455	73.829
13.1579	10.603	74.65
13.3333	10.748	75.498
13.5135	10.898	76.371
13.6986	11.052	77.262
13.8889	11.202	78.178
14.0845	11.356	79.117
14.2857	11.507	80.082
14.4928	11.661	81.071
14.7059	11.801	82.093
14.9254	11.949	83.153
15.1515	12.102	84.247
15.3846	12.268	85.364
15.625	12.426	86.503
15.873	12.565	87.677
16.129	12.69	88.903
16.3934	12.813	90.192
16.6667	12.955	91.534
16.9492	13.112	92.917
17.2414	13.272	94.337
17.5439	13.422	95.8
17.8571	13.552	97.331
18.1818	13.69	98.934
18.5185	13.836	100.61
18.8679	14.0	102.349
19.2308	14.167	104.147
19.6078	14.323	106.017
20.0	14.47	107.976
20.4082	14.609	110.046
20.8333	14.776	112.227
21.2766	14.968	114.511
21.7391	15.183	116.891
22.2222	15.406	119.378
22.7273	15.637	121.987
23.2558	15.879	124.731
23.8095	16.134	127.63
24.3902	16.427	130.692
25.0	16.759	133.915
25.641	17.132	137.301
26.3158	17.524	140.869
27.027	17.941	144.658
27.7778	18.418	148.685
28.5714	18.96	152.964
29.4118	19.605	157.481
30.303	20.293	162.27
31.25	21.072	167.359
32.2581	21.918	172.804
33.3333	22.922	178.602
34.4828	24.013	184.793
35.7143	25.258	191.424
37.037	26.632	198.573
38.4615	28.268	206.248
40.0	30.08	214.517
41.6667	32.172	223.454
43.4783	34.533	233.188
45.4545	37.361	243.743
47.619	40.571	255.237
50.0	44.324	267.743
52.6316	48.419	281.859
55.5556	54.058	297.306

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