Optical constants

Refractive index of Pt (Platinum)

Tselin et al. 2024: n,k 0.190–3.50 µm

Data: tabulated nk
Range: 0.19–3.5 µm
Points: 2000
Licence: CC0-1.0

Axis Log x Log y

Click the plot to set the calculator wavelength.

At one wavelength

Refractive index n: 2.03761
Extinction coefficient k: 4.76646

Permittivity ε₁: -18.5673
Permittivity ε₂: 19.4243

Absorption coefficient α: 1.01935e+06 cm⁻¹
Penetration depth δ = λ/(2πk): 19.6203 nm

Abbe number V_d: —
Chromatic dispersion dn/dλ: 3.01932 µm⁻¹

Group index n_g: 0.263452
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

# Pt (Platinum): Tselin et al. 2024: n,k 0.190–3.50 µm
pt = ls.fetch_refractiveindex("main", "Pt", "Tselin", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(pt.range_nm)  # (190, 3500) nm
eps = pt.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_f17d062c61a8/lightsmith"
pt = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(pt.source)  # citation and provenance travel with the data

Any dataset here, as the library's Tabulated material (pt/tselin-2024).

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

80 nm Pt film on quartz, deposited by EB-PVD, characterized by spectroscopic ellipsometry and DFT calculations.

Conditions

substrate: SiO2
film thickness: 80e-9

References

A. Tselin, M. Pogodaeva, S. Levchenko, A. Kalmykov, K. Garbuzov, A. Smirnov, V. Drachev. Exploring the dielectric function of platinum. Phys. Rev. B 110, 195130 (2024) (Numerical data kindly provided by Andrey Tselin)

doi:10.1103/physrevb.110.195130 Exploring the dielectric function of platinum, Physical Review B (2024)

Cite

Andrey Tselin et al.. Exploring the dielectric function of platinum. Physical Review B, 110, 195130 (2024), doi:10.1103/physrevb.110.195130; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

2000 rows as published

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

Pt (Platinum), Tselin et al. 2024: n,k 0.190–3.50 µm: n and k versus wavelength
λ (µm)	n	k
0.19	1.284	1.38
0.191656	1.275	1.395
0.193312	1.266	1.411
0.194967	1.257	1.428
0.196623	1.249	1.444
0.198279	1.242	1.461
0.199935	1.234	1.478
0.201591	1.227	1.496
0.203247	1.221	1.514
0.204902	1.215	1.532
0.206558	1.209	1.55
0.208214	1.204	1.568
0.20987	1.199	1.587
0.211526	1.195	1.605
0.213182	1.19	1.624
0.214837	1.187	1.643
0.216493	1.183	1.662
0.218149	1.18	1.68
0.219805	1.177	1.699
0.221461	1.175	1.718
0.223117	1.173	1.737
0.224772	1.171	1.756
0.226428	1.169	1.775
0.228084	1.168	1.794
0.22974	1.167	1.813
0.231396	1.166	1.832
0.233052	1.166	1.851
0.234707	1.165	1.87
0.236363	1.165	1.888
0.238019	1.166	1.907
0.239675	1.166	1.926
0.241331	1.167	1.944
0.242986	1.167	1.963
0.244642	1.168	1.981
0.246298	1.17	1.999
0.247954	1.171	2.017
0.24961	1.172	2.036
0.251266	1.174	2.054
0.252921	1.176	2.072
0.254577	1.178	2.089
0.256233	1.18	2.107
0.257889	1.182	2.125
0.259545	1.184	2.142
0.261201	1.187	2.16
0.262856	1.19	2.177
0.264512	1.192	2.195
0.266168	1.195	2.212
0.267824	1.198	2.229
0.26948	1.201	2.246
0.271136	1.204	2.263
0.272791	1.207	2.28
0.274447	1.21	2.296
0.276103	1.214	2.313
0.277759	1.217	2.33
0.279415	1.221	2.346
0.281071	1.224	2.363
0.282726	1.228	2.379
0.284382	1.231	2.395
0.286038	1.235	2.411
0.287694	1.239	2.427
0.28935	1.243	2.443
0.291006	1.246	2.459
0.292661	1.25	2.475
0.294317	1.254	2.491
0.295973	1.258	2.506
0.297629	1.262	2.522
0.299285	1.266	2.537
0.30094	1.27	2.553
0.302596	1.275	2.568
0.304252	1.279	2.583
0.305908	1.283	2.598
0.307564	1.287	2.613
0.30922	1.291	2.628
0.310875	1.295	2.643
0.312531	1.3	2.658
0.314187	1.304	2.673
0.315843	1.308	2.688
0.317499	1.313	2.703
0.319155	1.317	2.717
0.32081	1.321	2.732
0.322466	1.326	2.746
0.324122	1.33	2.761
0.325778	1.334	2.775
0.327434	1.339	2.79
0.32909	1.343	2.804
0.330745	1.347	2.818
0.332401	1.352	2.832
0.334057	1.356	2.847
0.335713	1.361	2.861
0.337369	1.365	2.875
0.339025	1.369	2.889
0.34068	1.374	2.903
0.342336	1.378	2.916
0.343992	1.383	2.93
0.345648	1.387	2.944
0.347304	1.391	2.958
0.348959	1.396	2.972
0.350615	1.4	2.985
0.352271	1.404	2.999
0.353927	1.409	3.013
0.355583	1.413	3.026
0.357239	1.418	3.04
0.358894	1.422	3.053
0.36055	1.426	3.067
0.362206	1.431	3.08
0.363862	1.435	3.093
0.365518	1.439	3.107
0.367174	1.444	3.12
0.368829	1.448	3.134
0.370485	1.453	3.147
0.372141	1.457	3.16
0.373797	1.461	3.173
0.375453	1.466	3.186
0.377109	1.47	3.2
0.378764	1.474	3.213
0.38042	1.479	3.226
0.382076	1.483	3.239
0.383732	1.487	3.252
0.385388	1.491	3.265
0.387044	1.496	3.278
0.388699	1.5	3.291
0.390355	1.504	3.304
0.392011	1.509	3.317
0.393667	1.513	3.33
0.395323	1.517	3.343
0.396978	1.521	3.356
0.398634	1.526	3.369
0.40029	1.53	3.382
0.401946	1.534	3.394
0.403602	1.539	3.407
0.405258	1.543	3.42
0.406913	1.547	3.433
0.408569	1.551	3.446
0.410225	1.556	3.458
0.411881	1.56	3.471
0.413537	1.564	3.484
0.415193	1.568	3.497
0.416848	1.573	3.509
0.418504	1.577	3.522
0.42016	1.581	3.535
0.421816	1.585	3.547
0.423472	1.59	3.56
0.425128	1.594	3.573
0.426783	1.598	3.585
0.428439	1.602	3.598
0.430095	1.606	3.611
0.431751	1.611	3.623
0.433407	1.615	3.636
0.435063	1.619	3.648
0.436718	1.623	3.661
0.438374	1.628	3.674
0.44003	1.632	3.686
0.441686	1.636	3.699
0.443342	1.64	3.711
0.444998	1.645	3.724
0.446653	1.649	3.736
0.448309	1.653	3.749
0.449965	1.657	3.761
0.451621	1.662	3.774
0.453277	1.666	3.786
0.454932	1.67	3.799
0.456588	1.675	3.811
0.458244	1.679	3.824
0.4599	1.683	3.836
0.461556	1.687	3.848
0.463212	1.692	3.861
0.464867	1.696	3.873
0.466523	1.7	3.886
0.468179	1.705	3.898
0.469835	1.709	3.91
0.471491	1.713	3.923
0.473147	1.718	3.935
0.474802	1.722	3.948
0.476458	1.726	3.96
0.478114	1.731	3.972
0.47977	1.735	3.985
0.481426	1.739	3.997
0.483082	1.744	4.009
0.484737	1.748	4.022
0.486393	1.752	4.034
0.488049	1.757	4.046
0.489705	1.761	4.058
0.491361	1.766	4.071
0.493017	1.77	4.083
0.494672	1.775	4.095
0.496328	1.779	4.108
0.497984	1.783	4.12
0.49964	1.788	4.132
0.501296	1.792	4.144
0.502951	1.797	4.156
0.504607	1.801	4.169
0.506263	1.806	4.181
0.507919	1.81	4.193
0.509575	1.815	4.205
0.511231	1.819	4.217
0.512886	1.824	4.23
0.514542	1.828	4.242
0.516198	1.833	4.254
0.517854	1.837	4.266
0.51951	1.842	4.278
0.521166	1.846	4.29
0.522821	1.851	4.302
0.524477	1.856	4.314
0.526133	1.86	4.326
0.527789	1.865	4.339
0.529445	1.869	4.351
0.531101	1.874	4.363
0.532756	1.879	4.375
0.534412	1.883	4.387
0.536068	1.888	4.399
0.537724	1.893	4.411
0.53938	1.897	4.423
0.541036	1.902	4.435
0.542691	1.907	4.447
0.544347	1.911	4.459
0.546003	1.916	4.471
0.547659	1.921	4.482
0.549315	1.926	4.494
0.55097	1.93	4.506
0.552626	1.935	4.518
0.554282	1.94	4.53
0.555938	1.945	4.542
0.557594	1.949	4.554
0.55925	1.954	4.566
0.560905	1.959	4.578
0.562561	1.964	4.589
0.564217	1.969	4.601
0.565873	1.974	4.613
0.567529	1.978	4.625
0.569185	1.983	4.636
0.57084	1.988	4.648
0.572496	1.993	4.66
0.574152	1.998	4.672
0.575808	2.003	4.683
0.577464	2.008	4.695
0.57912	2.013	4.707
0.580775	2.018	4.718
0.582431	2.023	4.73
0.584087	2.027	4.742
0.585743	2.032	4.753
0.587399	2.037	4.765
0.589055	2.042	4.777
0.59071	2.047	4.788
0.592366	2.052	4.8
0.594022	2.057	4.811
0.595678	2.062	4.823
0.597334	2.067	4.834
0.598989	2.072	4.846
0.600645	2.077	4.857
0.602301	2.082	4.869
0.603957	2.088	4.88
0.605613	2.093	4.892
0.607269	2.098	4.903
0.608924	2.103	4.915
0.61058	2.108	4.926
0.612236	2.113	4.938
0.613892	2.118	4.949
0.615548	2.123	4.96
0.617204	2.128	4.972
0.618859	2.133	4.983
0.620515	2.139	4.994
0.622171	2.144	5.006
0.623827	2.149	5.017
0.625483	2.154	5.028
0.627139	2.159	5.039
0.628794	2.164	5.051
0.63045	2.17	5.062
0.632106	2.175	5.073
0.633762	2.18	5.084
0.635418	2.185	5.095
0.637074	2.19	5.107
0.638729	2.196	5.118
0.640385	2.201	5.129
0.642041	2.206	5.14
0.643697	2.211	5.151
0.645353	2.217	5.162
0.647008	2.222	5.173
0.648664	2.227	5.184
0.65032	2.232	5.195
0.651976	2.238	5.206
0.653632	2.243	5.217
0.655288	2.248	5.228
0.656943	2.254	5.239
0.658599	2.259	5.25
0.660255	2.264	5.261
0.661911	2.269	5.272
0.663567	2.275	5.283
0.665223	2.28	5.294
0.666878	2.285	5.305
0.668534	2.291	5.316
0.67019	2.296	5.326
0.671846	2.301	5.337
0.673502	2.307	5.348
0.675158	2.312	5.359
0.676813	2.317	5.37
0.678469	2.323	5.38
0.680125	2.328	5.391
0.681781	2.334	5.402
0.683437	2.339	5.413
0.685093	2.344	5.423
0.686748	2.35	5.434
0.688404	2.355	5.445
0.69006	2.361	5.455
0.691716	2.366	5.466
0.693372	2.371	5.477
0.695028	2.377	5.487
0.696683	2.382	5.498
0.698339	2.388	5.508
0.699995	2.393	5.519
0.701651	2.398	5.529
0.703307	2.404	5.54
0.704962	2.409	5.55
0.706618	2.415	5.561
0.708274	2.42	5.571
0.70993	2.426	5.582
0.711586	2.431	5.592
0.713242	2.436	5.603
0.714897	2.442	5.613
0.716553	2.447	5.624
0.718209	2.453	5.634
0.719865	2.458	5.644
0.721521	2.464	5.655
0.723177	2.469	5.665
0.724832	2.475	5.675
0.726488	2.48	5.686
0.728144	2.486	5.696
0.7298	2.491	5.706
0.731456	2.497	5.716
0.733112	2.502	5.727
0.734767	2.508	5.737
0.736423	2.513	5.747
0.738079	2.519	5.757
0.739735	2.524	5.767
0.741391	2.53	5.778
0.743047	2.535	5.788
0.744702	2.541	5.798
0.746358	2.546	5.808
0.748014	2.552	5.818
0.74967	2.557	5.828
0.751326	2.563	5.838
0.752981	2.568	5.848
0.754637	2.574	5.858
0.756293	2.579	5.868
0.757949	2.585	5.878
0.759605	2.59	5.888
0.761261	2.596	5.898
0.762916	2.601	5.908
0.764572	2.607	5.918
0.766228	2.612	5.928
0.767884	2.618	5.938
0.76954	2.623	5.948
0.771196	2.629	5.958
0.772851	2.634	5.968
0.774507	2.64	5.978
0.776163	2.646	5.988
0.777819	2.651	5.998
0.779475	2.657	6.007
0.781131	2.662	6.017
0.782786	2.668	6.027
0.784442	2.673	6.037
0.786098	2.679	6.047
0.787754	2.684	6.056
0.78941	2.69	6.066
0.791066	2.695	6.076
0.792721	2.701	6.086
0.794377	2.707	6.095
0.796033	2.712	6.105
0.797689	2.718	6.115
0.799345	2.723	6.124
0.801	2.729	6.134
0.802656	2.734	6.144
0.804312	2.74	6.153
0.805968	2.746	6.163
0.807624	2.751	6.172
0.80928	2.757	6.182
0.810935	2.762	6.192
0.812591	2.768	6.201
0.814247	2.773	6.211
0.815903	2.779	6.22
0.817559	2.785	6.23
0.819215	2.79	6.239
0.82087	2.796	6.249
0.822526	2.801	6.258
0.824182	2.807	6.268
0.825838	2.813	6.277
0.827494	2.818	6.287
0.82915	2.824	6.296
0.830805	2.829	6.306
0.832461	2.835	6.315
0.834117	2.841	6.324
0.835773	2.846	6.334
0.837429	2.852	6.343
0.839085	2.857	6.352
0.84074	2.863	6.362
0.842396	2.869	6.371
0.844052	2.874	6.38
0.845708	2.88	6.39
0.847364	2.885	6.399
0.84902	2.891	6.408
0.850675	2.897	6.418
0.852331	2.902	6.427
0.853987	2.908	6.436
0.855643	2.914	6.445
0.857299	2.919	6.454
0.858954	2.925	6.464
0.86061	2.93	6.473
0.862266	2.936	6.482
0.863922	2.942	6.491
0.865578	2.947	6.5
0.867234	2.953	6.509
0.868889	2.959	6.519
0.870545	2.964	6.528
0.872201	2.97	6.537
0.873857	2.976	6.546
0.875513	2.981	6.555
0.877169	2.987	6.564
0.878824	2.993	6.573
0.88048	2.998	6.582
0.882136	3.004	6.591
0.883792	3.009	6.6
0.885448	3.015	6.609
0.887104	3.021	6.618
0.888759	3.026	6.627
0.890415	3.032	6.636
0.892071	3.038	6.645
0.893727	3.044	6.654
0.895383	3.049	6.663
0.897039	3.055	6.672
0.898694	3.061	6.681
0.90035	3.066	6.689
0.902006	3.072	6.698
0.903662	3.078	6.707
0.905318	3.083	6.716
0.906973	3.089	6.725
0.908629	3.095	6.734
0.910285	3.1	6.742
0.911941	3.106	6.751
0.913597	3.112	6.76
0.915253	3.118	6.769
0.916908	3.123	6.778
0.918564	3.129	6.786
0.92022	3.135	6.795
0.921876	3.14	6.804
0.923532	3.146	6.812
0.925188	3.152	6.821
0.926843	3.158	6.83
0.928499	3.163	6.838
0.930155	3.169	6.847
0.931811	3.175	6.856
0.933467	3.181	6.864
0.935123	3.186	6.873
0.936778	3.192	6.882
0.938434	3.198	6.89
0.94009	3.204	6.899
0.941746	3.209	6.907
0.943402	3.215	6.916
0.945058	3.221	6.924
0.946713	3.227	6.933
0.948369	3.232	6.941
0.950025	3.238	6.95
0.951681	3.244	6.958
0.953337	3.25	6.967
0.954992	3.256	6.975
0.956648	3.261	6.983
0.958304	3.267	6.992
0.95996	3.273	7.0
0.961616	3.279	7.009
0.963272	3.284	7.017
0.964927	3.29	7.025
0.966583	3.296	7.034
0.968239	3.302	7.042
0.969895	3.308	7.05
0.971551	3.314	7.059
0.973207	3.319	7.067
0.974862	3.325	7.075
0.976518	3.331	7.083
0.978174	3.337	7.092
0.97983	3.343	7.1
0.981486	3.348	7.108
0.983142	3.354	7.116
0.984797	3.36	7.124
0.986453	3.366	7.133
0.988109	3.372	7.141
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0.991421	3.384	7.157
0.993077	3.389	7.165
0.994732	3.395	7.173
0.996388	3.401	7.181
0.998044	3.407	7.189
0.9997	3.413	7.197
1.001356	3.419	7.205
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1.004667	3.43	7.221
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1.011291	3.454	7.253
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1.014602	3.466	7.269
1.016258	3.472	7.277
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1.021226	3.489	7.3
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1.024537	3.501	7.316
1.026193	3.507	7.323
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1.032816	3.531	7.354
1.034472	3.537	7.362
1.036128	3.543	7.37
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1.041096	3.56	7.393
1.042751	3.566	7.4
1.044407	3.572	7.408
1.046063	3.578	7.415
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1.051031	3.596	7.438
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1.054342	3.608	7.453
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1.065933	3.65	7.505
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1.0709	3.668	7.527
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1.075868	3.686	7.548
1.077524	3.692	7.555
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1.082491	3.709	7.577
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1.094082	3.751	7.626
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1.102361	3.781	7.661
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1.105673	3.793	7.675
1.107329	3.799	7.682
1.108984	3.805	7.689
1.11064	3.811	7.695
1.112296	3.817	7.702
1.113952	3.823	7.709
1.115608	3.829	7.716
1.117264	3.835	7.722
1.118919	3.841	7.729
1.120575	3.847	7.736
1.122231	3.853	7.742
1.123887	3.859	7.749
1.125543	3.865	7.756
1.127199	3.871	7.762
1.128854	3.877	7.769
1.13051	3.883	7.775
1.132166	3.889	7.782
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1.135478	3.901	7.795
1.137134	3.907	7.801
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1.145413	3.936	7.833
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1.155348	3.972	7.871
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1.158659	3.984	7.883
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1.163627	4.001	7.902
1.165283	4.007	7.908
1.166938	4.013	7.914
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1.17025	4.025	7.926
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1.175218	4.043	7.944
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1.188464	4.089	7.991
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1.191776	4.101	8.002
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1.28947	4.429	8.3
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1.855763	4.873	9.254
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1.864042	4.86	9.272
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1.870665	4.849	9.287
1.872321	4.846	9.291
1.873977	4.843	9.295
1.875633	4.84	9.299
1.877289	4.838	9.302
1.878944	4.835	9.306
1.8806	4.832	9.31
1.882256	4.829	9.314
1.883912	4.826	9.318
1.885568	4.823	9.322
1.887224	4.821	9.326
1.888879	4.818	9.33
1.890535	4.815	9.334
1.892191	4.812	9.338
1.893847	4.809	9.342
1.895503	4.806	9.346
1.897159	4.803	9.35
1.898814	4.8	9.354
1.90047	4.797	9.358
1.902126	4.794	9.362
1.903782	4.791	9.366
1.905438	4.788	9.37
1.907094	4.785	9.374
1.908749	4.782	9.378
1.910405	4.779	9.383
1.912061	4.776	9.387
1.913717	4.773	9.391
1.915373	4.769	9.395
1.917029	4.766	9.399
1.918684	4.763	9.404
1.92034	4.76	9.408
1.921996	4.757	9.412
1.923652	4.754	9.417
1.925308	4.75	9.421
1.926963	4.747	9.425
1.928619	4.744	9.43
1.930275	4.741	9.434
1.931931	4.738	9.438
1.933587	4.734	9.443
1.935243	4.731	9.447
1.936898	4.728	9.452
1.938554	4.725	9.456
1.94021	4.721	9.461
1.941866	4.718	9.465
1.943522	4.715	9.47
1.945178	4.711	9.474
1.946833	4.708	9.479
1.948489	4.705	9.483
1.950145	4.701	9.488
1.951801	4.698	9.493
1.953457	4.695	9.497
1.955113	4.691	9.502
1.956768	4.688	9.507
1.958424	4.684	9.511
1.96008	4.681	9.516
1.961736	4.678	9.521
1.963392	4.674	9.525
1.965048	4.671	9.53
1.966703	4.667	9.535
1.968359	4.664	9.54
1.970015	4.66	9.544
1.971671	4.657	9.549
1.973327	4.653	9.554
1.974982	4.65	9.559
1.976638	4.646	9.564
1.978294	4.643	9.569
1.97995	4.639	9.574
1.981606	4.636	9.579
1.983262	4.632	9.584
1.984917	4.629	9.589
1.986573	4.625	9.594
1.988229	4.622	9.599
1.989885	4.618	9.604
1.991541	4.615	9.609
1.993197	4.611	9.614
1.994852	4.607	9.619
1.996508	4.604	9.624
1.998164	4.6	9.629
1.99982	4.597	9.634
2.001476	4.593	9.639
2.003132	4.589	9.645
2.004787	4.586	9.65
2.006443	4.582	9.655
2.008099	4.578	9.66
2.009755	4.575	9.665
2.011411	4.571	9.671
2.013067	4.567	9.676
2.014722	4.564	9.681
2.016378	4.56	9.687
2.018034	4.556	9.692
2.01969	4.553	9.697
2.021346	4.549	9.703
2.023002	4.545	9.708
2.024657	4.542	9.713
2.026313	4.538	9.719
2.027969	4.534	9.724
2.029625	4.53	9.73
2.031281	4.527	9.735
2.032936	4.523	9.741
2.034592	4.519	9.746
2.036248	4.515	9.752
2.037904	4.512	9.757
2.03956	4.508	9.763
2.041216	4.504	9.768
2.042871	4.5	9.774
2.044527	4.497	9.78
2.046183	4.493	9.785
2.047839	4.489	9.791
2.049495	4.485	9.797
2.051151	4.481	9.802
2.052806	4.478	9.808
2.054462	4.474	9.814
2.056118	4.47	9.82
2.057774	4.466	9.825
2.05943	4.462	9.831
2.061086	4.459	9.837
2.062741	4.455	9.843
2.064397	4.451	9.849
2.066053	4.447	9.854
2.067709	4.443	9.86
2.069365	4.439	9.866
2.071021	4.436	9.872
2.072676	4.432	9.878
2.074332	4.428	9.884
2.075988	4.424	9.89
2.077644	4.42	9.896
2.0793	4.416	9.902
2.080955	4.412	9.908
2.082611	4.408	9.914
2.084267	4.405	9.92
2.085923	4.401	9.926
2.087579	4.397	9.932
2.089235	4.393	9.938
2.09089	4.389	9.944
2.092546	4.385	9.95
2.094202	4.381	9.957
2.095858	4.377	9.963
2.097514	4.373	9.969
2.09917	4.37	9.975
2.100825	4.366	9.981
2.102481	4.362	9.988
2.104137	4.358	9.994
2.105793	4.354	10.0
2.107449	4.35	10.006
2.109105	4.346	10.013
2.11076	4.342	10.019
2.112416	4.338	10.025
2.114072	4.334	10.032
2.115728	4.33	10.038
2.117384	4.327	10.045
2.11904	4.323	10.051
2.120695	4.319	10.057
2.122351	4.315	10.064
2.124007	4.311	10.07
2.125663	4.307	10.077
2.127319	4.303	10.083
2.128974	4.299	10.09
2.13063	4.295	10.096
2.132286	4.291	10.103
2.133942	4.287	10.109
2.135598	4.283	10.116
2.137254	4.279	10.123
2.138909	4.275	10.129
2.140565	4.272	10.136
2.142221	4.268	10.142
2.143877	4.264	10.149
2.145533	4.26	10.156
2.147189	4.256	10.163
2.148844	4.252	10.169
2.1505	4.248	10.176
2.152156	4.244	10.183
2.153812	4.24	10.189
2.155468	4.236	10.196
2.157124	4.232	10.203
2.158779	4.228	10.21
2.160435	4.224	10.217
2.162091	4.22	10.223
2.163747	4.216	10.23
2.165403	4.212	10.237
2.167059	4.208	10.244
2.168714	4.205	10.251
2.17037	4.201	10.258
2.172026	4.197	10.265
2.173682	4.193	10.272
2.175338	4.189	10.279
2.176994	4.185	10.286
2.178649	4.181	10.293
2.180305	4.177	10.3
2.181961	4.173	10.307
2.183617	4.169	10.314
2.185273	4.165	10.321
2.186928	4.161	10.328
2.188584	4.157	10.335
2.19024	4.153	10.342
2.191896	4.15	10.349
2.193552	4.146	10.356
2.195208	4.142	10.364
2.196863	4.138	10.371
2.198519	4.134	10.378
2.200175	4.13	10.385
2.201831	4.126	10.392
2.203487	4.122	10.4
2.205143	4.118	10.407
2.206798	4.114	10.414
2.208454	4.11	10.421
2.21011	4.106	10.429
2.211766	4.103	10.436
2.213422	4.099	10.443
2.215078	4.095	10.451
2.216733	4.091	10.458
2.218389	4.087	10.465
2.220045	4.083	10.473
2.221701	4.079	10.48
2.223357	4.075	10.488
2.225013	4.071	10.495
2.226668	4.067	10.502
2.228324	4.064	10.51
2.22998	4.06	10.517
2.231636	4.056	10.525
2.233292	4.052	10.532
2.234947	4.048	10.54
2.236603	4.044	10.547
2.238259	4.04	10.555
2.239915	4.036	10.562
2.241571	4.033	10.57
2.243227	4.029	10.578
2.244882	4.025	10.585
2.246538	4.021	10.593
2.248194	4.017	10.6
2.24985	4.013	10.608
2.251506	4.01	10.616
2.253162	4.006	10.623
2.254817	4.002	10.631
2.256473	3.998	10.639
2.258129	3.994	10.646
2.259785	3.99	10.654
2.261441	3.987	10.662
2.263097	3.983	10.67
2.264752	3.979	10.677
2.266408	3.975	10.685
2.268064	3.971	10.693
2.26972	3.967	10.701
2.271376	3.964	10.709
2.273032	3.96	10.716
2.274687	3.956	10.724
2.276343	3.952	10.732
2.277999	3.948	10.74
2.279655	3.945	10.748
2.281311	3.941	10.756
2.282966	3.937	10.764
2.284622	3.933	10.772
2.286278	3.93	10.78
2.287934	3.926	10.788
2.28959	3.922	10.795
2.291246	3.918	10.803
2.292901	3.915	10.811
2.294557	3.911	10.819
2.296213	3.907	10.827
2.297869	3.903	10.835
2.299525	3.9	10.844
2.301181	3.896	10.852
2.302836	3.892	10.86
2.304492	3.888	10.868
2.306148	3.885	10.876
2.307804	3.881	10.884
2.30946	3.877	10.892
2.311116	3.874	10.9
2.312771	3.87	10.908
2.314427	3.866	10.916
2.316083	3.862	10.925
2.317739	3.859	10.933
2.319395	3.855	10.941
2.321051	3.851	10.949
2.322706	3.848	10.957
2.324362	3.844	10.966
2.326018	3.84	10.974
2.327674	3.837	10.982
2.32933	3.833	10.99
2.330985	3.829	10.999
2.332641	3.826	11.007
2.334297	3.822	11.015
2.335953	3.819	11.024
2.337609	3.815	11.032
2.339265	3.811	11.04
2.34092	3.808	11.049
2.342576	3.804	11.057
2.344232	3.8	11.065
2.345888	3.797	11.074
2.347544	3.793	11.082
2.3492	3.79	11.09
2.350855	3.786	11.099
2.352511	3.782	11.107
2.354167	3.779	11.116
2.355823	3.775	11.124
2.357479	3.772	11.133
2.359135	3.768	11.141
2.36079	3.765	11.15
2.362446	3.761	11.158
2.364102	3.758	11.167
2.365758	3.754	11.175
2.367414	3.75	11.184
2.36907	3.747	11.192
2.370725	3.743	11.201
2.372381	3.74	11.209
2.374037	3.736	11.218
2.375693	3.733	11.226
2.377349	3.729	11.235
2.379004	3.726	11.243
2.38066	3.722	11.252
2.382316	3.719	11.261
2.383972	3.715	11.269
2.385628	3.712	11.278
2.387284	3.708	11.287
2.388939	3.705	11.295
2.390595	3.701	11.304
2.392251	3.698	11.313
2.393907	3.695	11.321
2.395563	3.691	11.33
2.397219	3.688	11.339
2.398874	3.684	11.347
2.40053	3.681	11.356
2.402186	3.677	11.365
2.403842	3.674	11.374
2.405498	3.671	11.382
2.407154	3.667	11.391
2.408809	3.664	11.4
2.410465	3.66	11.409
2.412121	3.657	11.418
2.413777	3.654	11.426
2.415433	3.65	11.435
2.417089	3.647	11.444
2.418744	3.644	11.453
2.4204	3.64	11.462
2.422056	3.637	11.471
2.423712	3.634	11.479
2.425368	3.63	11.488
2.427024	3.627	11.497
2.428679	3.624	11.506
2.430335	3.62	11.515
2.431991	3.617	11.524
2.433647	3.614	11.533
2.435303	3.61	11.542
2.436958	3.607	11.551
2.438614	3.604	11.56
2.44027	3.6	11.569
2.441926	3.597	11.578
2.443582	3.594	11.587
2.445238	3.591	11.596
2.446893	3.587	11.605
2.448549	3.584	11.614
2.450205	3.581	11.623
2.451861	3.578	11.632
2.453517	3.574	11.641
2.455173	3.571	11.65
2.456828	3.568	11.659
2.458484	3.565	11.668
2.46014	3.562	11.677
2.461796	3.558	11.686
2.463452	3.555	11.695
2.465108	3.552	11.704
2.466763	3.549	11.713
2.468419	3.546	11.722
2.470075	3.542	11.731
2.471731	3.539	11.741
2.473387	3.536	11.75
2.475043	3.533	11.759
2.476698	3.53	11.768
2.478354	3.527	11.777
2.48001	3.524	11.786
2.481666	3.52	11.795
2.483322	3.517	11.805
2.484977	3.514	11.814
2.486633	3.511	11.823
2.488289	3.508	11.832
2.489945	3.505	11.841
2.491601	3.502	11.851
2.493257	3.499	11.86
2.494912	3.496	11.869
2.496568	3.493	11.878
2.498224	3.49	11.888
2.49988	3.487	11.897
2.501536	3.484	11.906
2.503192	3.48	11.915
2.504847	3.477	11.925
2.506503	3.474	11.934
2.508159	3.471	11.943
2.509815	3.468	11.953
2.511471	3.465	11.962
2.513127	3.462	11.971
2.514782	3.459	11.981
2.516438	3.456	11.99
2.518094	3.453	11.999
2.51975	3.45	12.009
2.521406	3.447	12.018
2.523062	3.444	12.027
2.524717	3.442	12.037
2.526373	3.439	12.046
2.528029	3.436	12.055
2.529685	3.433	12.065
2.531341	3.43	12.074
2.532996	3.427	12.084
2.534652	3.424	12.093
2.536308	3.421	12.102
2.537964	3.418	12.112
2.53962	3.415	12.121
2.541276	3.412	12.131
2.542931	3.409	12.14
2.544587	3.407	12.15
2.546243	3.404	12.159
2.547899	3.401	12.168
2.549555	3.398	12.178
2.551211	3.395	12.187
2.552866	3.392	12.197
2.554522	3.389	12.206
2.556178	3.387	12.216
2.557834	3.384	12.225
2.55949	3.381	12.235
2.561146	3.378	12.244
2.562801	3.375	12.254
2.564457	3.373	12.263
2.566113	3.37	12.273
2.567769	3.367	12.283
2.569425	3.364	12.292
2.571081	3.361	12.302
2.572736	3.359	12.311
2.574392	3.356	12.321
2.576048	3.353	12.33
2.577704	3.35	12.34
2.57936	3.348	12.35
2.581016	3.345	12.359
2.582671	3.342	12.369
2.584327	3.34	12.378
2.585983	3.337	12.388
2.587639	3.334	12.398
2.589295	3.331	12.407
2.59095	3.329	12.417
2.592606	3.326	12.426
2.594262	3.323	12.436
2.595918	3.321	12.446
2.597574	3.318	12.455
2.59923	3.315	12.465
2.600885	3.313	12.475
2.602541	3.31	12.484
2.604197	3.307	12.494
2.605853	3.305	12.504
2.607509	3.302	12.513
2.609165	3.3	12.523
2.61082	3.297	12.533
2.612476	3.294	12.542
2.614132	3.292	12.552
2.615788	3.289	12.562
2.617444	3.287	12.572
2.6191	3.284	12.581
2.620755	3.281	12.591
2.622411	3.279	12.601
2.624067	3.276	12.61
2.625723	3.274	12.62
2.627379	3.271	12.63
2.629035	3.269	12.64
2.63069	3.266	12.649
2.632346	3.264	12.659
2.634002	3.261	12.669
2.635658	3.259	12.679
2.637314	3.256	12.688
2.638969	3.254	12.698
2.640625	3.251	12.708
2.642281	3.249	12.718
2.643937	3.246	12.728
2.645593	3.244	12.737
2.647249	3.241	12.747
2.648904	3.239	12.757
2.65056	3.236	12.767
2.652216	3.234	12.777
2.653872	3.231	12.786
2.655528	3.229	12.796
2.657184	3.227	12.806
2.658839	3.224	12.816
2.660495	3.222	12.826
2.662151	3.219	12.836
2.663807	3.217	12.845
2.665463	3.214	12.855
2.667119	3.212	12.865
2.668774	3.21	12.875
2.67043	3.207	12.885
2.672086	3.205	12.895
2.673742	3.203	12.905
2.675398	3.2	12.915
2.677054	3.198	12.924
2.678709	3.196	12.934
2.680365	3.193	12.944
2.682021	3.191	12.954
2.683677	3.189	12.964
2.685333	3.186	12.974
2.686988	3.184	12.984
2.688644	3.182	12.994
2.6903	3.179	13.004
2.691956	3.177	13.014
2.693612	3.175	13.023
2.695268	3.172	13.033
2.696923	3.17	13.043
2.698579	3.168	13.053
2.700235	3.166	13.063
2.701891	3.163	13.073
2.703547	3.161	13.083
2.705203	3.159	13.093
2.706858	3.157	13.103
2.708514	3.154	13.113
2.71017	3.152	13.123
2.711826	3.15	13.133
2.713482	3.148	13.143
2.715138	3.146	13.153
2.716793	3.143	13.163
2.718449	3.141	13.173
2.720105	3.139	13.183
2.721761	3.137	13.193
2.723417	3.135	13.203
2.725073	3.132	13.213
2.726728	3.13	13.223
2.728384	3.128	13.233
2.73004	3.126	13.243
2.731696	3.124	13.253
2.733352	3.122	13.263
2.735008	3.12	13.273
2.736663	3.117	13.283
2.738319	3.115	13.293
2.739975	3.113	13.303
2.741631	3.111	13.313
2.743287	3.109	13.323
2.744942	3.107	13.333
2.746598	3.105	13.343
2.748254	3.103	13.353
2.74991	3.101	13.363
2.751566	3.099	13.373
2.753222	3.097	13.383
2.754877	3.094	13.393
2.756533	3.092	13.403
2.758189	3.09	13.414
2.759845	3.088	13.424
2.761501	3.086	13.434
2.763157	3.084	13.444
2.764812	3.082	13.454
2.766468	3.08	13.464
2.768124	3.078	13.474
2.76978	3.076	13.484
2.771436	3.074	13.494
2.773092	3.072	13.504
2.774747	3.07	13.514
2.776403	3.068	13.524
2.778059	3.066	13.535
2.779715	3.064	13.545
2.781371	3.062	13.555
2.783027	3.06	13.565
2.784682	3.058	13.575
2.786338	3.057	13.585
2.787994	3.055	13.595
2.78965	3.053	13.605
2.791306	3.051	13.615
2.792961	3.049	13.626
2.794617	3.047	13.636
2.796273	3.045	13.646
2.797929	3.043	13.656
2.799585	3.041	13.666
2.801241	3.039	13.676
2.802896	3.037	13.686
2.804552	3.036	13.697
2.806208	3.034	13.707
2.807864	3.032	13.717
2.80952	3.03	13.727
2.811176	3.028	13.737
2.812831	3.026	13.747
2.814487	3.024	13.758
2.816143	3.023	13.768
2.817799	3.021	13.778
2.819455	3.019	13.788
2.821111	3.017	13.798
2.822766	3.015	13.808
2.824422	3.014	13.819
2.826078	3.012	13.829
2.827734	3.01	13.839
2.82939	3.008	13.849
2.831046	3.006	13.859
2.832701	3.005	13.869
2.834357	3.003	13.88
2.836013	3.001	13.89
2.837669	2.999	13.9
2.839325	2.997	13.91
2.84098	2.996	13.92
2.842636	2.994	13.931
2.844292	2.992	13.941
2.845948	2.991	13.951
2.847604	2.989	13.961
2.84926	2.987	13.972
2.850915	2.985	13.982
2.852571	2.984	13.992
2.854227	2.982	14.002
2.855883	2.98	14.012
2.857539	2.979	14.023
2.859195	2.977	14.033
2.86085	2.975	14.043
2.862506	2.974	14.053
2.864162	2.972	14.064
2.865818	2.97	14.074
2.867474	2.969	14.084
2.86913	2.967	14.094
2.870785	2.965	14.104
2.872441	2.964	14.115
2.874097	2.962	14.125
2.875753	2.96	14.135
2.877409	2.959	14.145
2.879065	2.957	14.156
2.88072	2.955	14.166
2.882376	2.954	14.176
2.884032	2.952	14.186
2.885688	2.951	14.197
2.887344	2.949	14.207
2.889	2.947	14.217
2.890655	2.946	14.228
2.892311	2.944	14.238
2.893967	2.943	14.248
2.895623	2.941	14.258
2.897279	2.94	14.269
2.898934	2.938	14.279
2.90059	2.936	14.289
2.902246	2.935	14.299
2.903902	2.933	14.31
2.905558	2.932	14.32
2.907214	2.93	14.33
2.908869	2.929	14.341
2.910525	2.927	14.351
2.912181	2.926	14.361
2.913837	2.924	14.371
2.915493	2.923	14.382
2.917149	2.921	14.392
2.918804	2.92	14.402
2.92046	2.918	14.413
2.922116	2.917	14.423
2.923772	2.915	14.433
2.925428	2.914	14.443
2.927084	2.912	14.454
2.928739	2.911	14.464
2.930395	2.909	14.474
2.932051	2.908	14.485
2.933707	2.907	14.495
2.935363	2.905	14.505
2.937019	2.904	14.516
2.938674	2.902	14.526
2.94033	2.901	14.536
2.941986	2.899	14.547
2.943642	2.898	14.557
2.945298	2.897	14.567
2.946953	2.895	14.578
2.948609	2.894	14.588
2.950265	2.892	14.598
2.951921	2.891	14.608
2.953577	2.89	14.619
2.955233	2.888	14.629
2.956888	2.887	14.639
2.958544	2.885	14.65
2.9602	2.884	14.66
2.961856	2.883	14.67
2.963512	2.881	14.681
2.965168	2.88	14.691
2.966823	2.879	14.701
2.968479	2.877	14.712
2.970135	2.876	14.722
2.971791	2.875	14.732
2.973447	2.873	14.743
2.975103	2.872	14.753
2.976758	2.871	14.764
2.978414	2.869	14.774
2.98007	2.868	14.784
2.981726	2.867	14.795
2.983382	2.866	14.805
2.985038	2.864	14.815
2.986693	2.863	14.826
2.988349	2.862	14.836
2.990005	2.86	14.846
2.991661	2.859	14.857
2.993317	2.858	14.867
2.994972	2.857	14.877
2.996628	2.855	14.888
2.998284	2.854	14.898
2.99994	2.853	14.908
3.001596	2.852	14.919
3.003252	2.85	14.929
3.004907	2.849	14.94
3.006563	2.848	14.95
3.008219	2.847	14.96
3.009875	2.846	14.971
3.011531	2.844	14.981
3.013187	2.843	14.991
3.014842	2.842	15.002
3.016498	2.841	15.012
3.018154	2.84	15.022
3.01981	2.838	15.033
3.021466	2.837	15.043
3.023122	2.836	15.054
3.024777	2.835	15.064
3.026433	2.834	15.074
3.028089	2.832	15.085
3.029745	2.831	15.095
3.031401	2.83	15.105
3.033057	2.829	15.116
3.034712	2.828	15.126
3.036368	2.827	15.137
3.038024	2.826	15.147
3.03968	2.824	15.157
3.041336	2.823	15.168
3.042992	2.822	15.178
3.044647	2.821	15.188
3.046303	2.82	15.199
3.047959	2.819	15.209
3.049615	2.818	15.22
3.051271	2.817	15.23
3.052926	2.816	15.24
3.054582	2.814	15.251
3.056238	2.813	15.261
3.057894	2.812	15.272
3.05955	2.811	15.282
3.061206	2.81	15.292
3.062861	2.809	15.303
3.064517	2.808	15.313
3.066173	2.807	15.324
3.067829	2.806	15.334
3.069485	2.805	15.344
3.071141	2.804	15.355
3.072796	2.803	15.365
3.074452	2.802	15.376
3.076108	2.801	15.386
3.077764	2.8	15.396
3.07942	2.799	15.407
3.081076	2.798	15.417
3.082731	2.797	15.428
3.084387	2.796	15.438
3.086043	2.795	15.448
3.087699	2.794	15.459
3.089355	2.793	15.469
3.091011	2.792	15.48
3.092666	2.791	15.49
3.094322	2.79	15.5
3.095978	2.789	15.511
3.097634	2.788	15.521
3.09929	2.787	15.532
3.100945	2.786	15.542
3.102601	2.785	15.552
3.104257	2.784	15.563
3.105913	2.783	15.573
3.107569	2.782	15.584
3.109225	2.781	15.594
3.11088	2.78	15.604
3.112536	2.779	15.615
3.114192	2.778	15.625
3.115848	2.777	15.636
3.117504	2.776	15.646
3.11916	2.775	15.657
3.120815	2.775	15.667
3.122471	2.774	15.677
3.124127	2.773	15.688
3.125783	2.772	15.698
3.127439	2.771	15.709
3.129095	2.77	15.719
3.13075	2.769	15.729
3.132406	2.768	15.74
3.134062	2.767	15.75
3.135718	2.767	15.761
3.137374	2.766	15.771
3.13903	2.765	15.782
3.140685	2.764	15.792
3.142341	2.763	15.802
3.143997	2.762	15.813
3.145653	2.761	15.823
3.147309	2.761	15.834
3.148964	2.76	15.844
3.15062	2.759	15.854
3.152276	2.758	15.865
3.153932	2.757	15.875
3.155588	2.756	15.886
3.157244	2.756	15.896
3.158899	2.755	15.907
3.160555	2.754	15.917
3.162211	2.753	15.927
3.163867	2.752	15.938
3.165523	2.752	15.948
3.167179	2.751	15.959
3.168834	2.75	15.969
3.17049	2.749	15.98
3.172146	2.748	15.99
3.173802	2.748	16.0
3.175458	2.747	16.011
3.177114	2.746	16.021
3.178769	2.745	16.032
3.180425	2.744	16.042
3.182081	2.744	16.053
3.183737	2.743	16.063
3.185393	2.742	16.073
3.187049	2.741	16.084
3.188704	2.741	16.094
3.19036	2.74	16.105
3.192016	2.739	16.115
3.193672	2.739	16.126
3.195328	2.738	16.136
3.196983	2.737	16.146
3.198639	2.736	16.157
3.200295	2.736	16.167
3.201951	2.735	16.178
3.203607	2.734	16.188
3.205263	2.733	16.199
3.206918	2.733	16.209
3.208574	2.732	16.219
3.21023	2.731	16.23
3.211886	2.731	16.24
3.213542	2.73	16.251
3.215198	2.729	16.261
3.216853	2.729	16.272
3.218509	2.728	16.282
3.220165	2.727	16.292
3.221821	2.727	16.303
3.223477	2.726	16.313
3.225133	2.725	16.324
3.226788	2.725	16.334
3.228444	2.724	16.345
3.2301	2.723	16.355
3.231756	2.723	16.365
3.233412	2.722	16.376
3.235068	2.721	16.386
3.236723	2.721	16.397
3.238379	2.72	16.407
3.240035	2.72	16.418
3.241691	2.719	16.428
3.243347	2.718	16.438
3.245002	2.718	16.449
3.246658	2.717	16.459
3.248314	2.716	16.47
3.24997	2.716	16.48
3.251626	2.715	16.491
3.253282	2.715	16.501
3.254937	2.714	16.511
3.256593	2.713	16.522
3.258249	2.713	16.532
3.259905	2.712	16.543
3.261561	2.712	16.553
3.263217	2.711	16.564
3.264872	2.711	16.574
3.266528	2.71	16.584
3.268184	2.709	16.595
3.26984	2.709	16.605
3.271496	2.708	16.616
3.273152	2.708	16.626
3.274807	2.707	16.637
3.276463	2.707	16.647
3.278119	2.706	16.658
3.279775	2.706	16.668
3.281431	2.705	16.678
3.283087	2.705	16.689
3.284742	2.704	16.699
3.286398	2.704	16.71
3.288054	2.703	16.72
3.28971	2.702	16.731
3.291366	2.702	16.741
3.293022	2.701	16.751
3.294677	2.701	16.762
3.296333	2.7	16.772
3.297989	2.7	16.783
3.299645	2.699	16.793
3.301301	2.699	16.804
3.302956	2.698	16.814
3.304612	2.698	16.824
3.306268	2.698	16.835
3.307924	2.697	16.845
3.30958	2.697	16.856
3.311236	2.696	16.866
3.312891	2.696	16.877
3.314547	2.695	16.887
3.316203	2.695	16.897
3.317859	2.694	16.908
3.319515	2.694	16.918
3.321171	2.693	16.929
3.322826	2.693	16.939
3.324482	2.692	16.95
3.326138	2.692	16.96
3.327794	2.692	16.97
3.32945	2.691	16.981
3.331106	2.691	16.991
3.332761	2.69	17.002
3.334417	2.69	17.012
3.336073	2.689	17.023
3.337729	2.689	17.033
3.339385	2.689	17.043
3.341041	2.688	17.054
3.342696	2.688	17.064
3.344352	2.687	17.075
3.346008	2.687	17.085
3.347664	2.687	17.096
3.34932	2.686	17.106
3.350975	2.686	17.116
3.352631	2.685	17.127
3.354287	2.685	17.137
3.355943	2.685	17.148
3.357599	2.684	17.158
3.359255	2.684	17.169
3.36091	2.683	17.179
3.362566	2.683	17.189
3.364222	2.683	17.2
3.365878	2.682	17.21
3.367534	2.682	17.221
3.36919	2.682	17.231
3.370845	2.681	17.242
3.372501	2.681	17.252
3.374157	2.681	17.262
3.375813	2.68	17.273
3.377469	2.68	17.283
3.379125	2.68	17.294
3.38078	2.679	17.304
3.382436	2.679	17.315
3.384092	2.679	17.325
3.385748	2.678	17.335
3.387404	2.678	17.346
3.38906	2.678	17.356
3.390715	2.677	17.367
3.392371	2.677	17.377
3.394027	2.677	17.388
3.395683	2.676	17.398
3.397339	2.676	17.408
3.398994	2.676	17.419
3.40065	2.676	17.429
3.402306	2.675	17.44
3.403962	2.675	17.45
3.405618	2.675	17.46
3.407274	2.674	17.471
3.408929	2.674	17.481
3.410585	2.674	17.492
3.412241	2.674	17.502
3.413897	2.673	17.513
3.415553	2.673	17.523
3.417209	2.673	17.533
3.418864	2.673	17.544
3.42052	2.672	17.554
3.422176	2.672	17.565
3.423832	2.672	17.575
3.425488	2.672	17.586
3.427144	2.671	17.596
3.428799	2.671	17.606
3.430455	2.671	17.617
3.432111	2.671	17.627
3.433767	2.67	17.638
3.435423	2.67	17.648
3.437079	2.67	17.658
3.438734	2.67	17.669
3.44039	2.669	17.679
3.442046	2.669	17.69
3.443702	2.669	17.7
3.445358	2.669	17.711
3.447014	2.669	17.721
3.448669	2.668	17.731
3.450325	2.668	17.742
3.451981	2.668	17.752
3.453637	2.668	17.763
3.455293	2.668	17.773
3.456948	2.667	17.783
3.458604	2.667	17.794
3.46026	2.667	17.804
3.461916	2.667	17.815
3.463572	2.667	17.825
3.465228	2.666	17.835
3.466883	2.666	17.846
3.468539	2.666	17.856
3.470195	2.666	17.867
3.471851	2.666	17.877
3.473507	2.666	17.887
3.475163	2.665	17.898
3.476818	2.665	17.908
3.478474	2.665	17.919
3.48013	2.665	17.929
3.481786	2.665	17.94
3.483442	2.665	17.95
3.485098	2.665	17.96
3.486753	2.664	17.971
3.488409	2.664	17.981
3.490065	2.664	17.992
3.491721	2.664	18.002
3.493377	2.664	18.012
3.495033	2.664	18.023
3.496688	2.664	18.033
3.498344	2.664	18.044
3.5	2.663	18.054

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: —

Pt (Platinum): all datasets

Experimental data

Models and simulations

About Pt (Platinum)

Platinum (Pt) is a dense, malleable, and highly unreactive metal with a characteristic silvery-white appearance. It is one of the least reactive metals, showing significant resistance to corrosion, even at high temperatures. This makes it particularly valuable in industrial applications. Optically, platinum mirrors can be used in specialized optical instruments due to their durability and resistance to oxidation. Additionally, because of its inertness and ability to withstand high temperatures, platinum is commonly used as a substrate or material for thin-film deposition in various optical and electronic applications. In the broader industry, it's heavily used in catalytic converters for automobiles, in laboratory equipment, and in making jewelry due to its attractive appearance and resistance to tarnish.

More about Pt (Platinum) →

Provenance

Version: 1 (snapshot c5c2f18)
Source page: refractiveindex.info
Original file: database/data/main/Pt/nk/Tselin.yml
ID: ds_f17d062c61a8
API: /v1/datasets/ds_f17d062c61a8

Plot