Optical constants

Refractive index of VO2 (Vanadium dioxide)

Beaini et al. 2020: n,k 0.5–25 µm; 100 °C

Data: tabulated nk
Range: 0.5–25 µm
Points: 2451
Temperature: 373 K
Licence: CC0-1.0

Axis Log x Log y

Click the plot to set the calculator wavelength.

At one wavelength

Refractive index n: 2.57469
Extinction coefficient k: 0.374804

Permittivity ε₁: 6.48856
Permittivity ε₂: 1.93001

Absorption coefficient α: 80155.3 cm⁻¹
Penetration depth δ = λ/(2πk): 249.516 nm

Abbe number V_d: —
Chromatic dispersion dn/dλ: -3.58 µm⁻¹

Group index n_g: 4.6783
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

# VO2 (Vanadium dioxide): Beaini et al. 2020: n,k 0.5–25 µm; 100 °C
vo2 = ls.fetch_refractiveindex("main", "VO2", "Beaini-100C", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(vo2.range_nm)  # (500, 25000) nm
eps = vo2.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_44fc5a1f20d6/lightsmith"
vo2 = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(vo2.source)  # citation and provenance travel with the data

Any dataset here, as the library's Tabulated material (vo2/beaini-2020-100c).

# ... load vo2 as above, then:
sim = ls.Simulation(
    particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=vo2)],
    medium_index=1.0,
    wavelengths=ls.WavelengthRange(start_nm=500, 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

70 nm-thick VO₂ film deposited on SiO₂ substrate. 100 °C.

Conditions

temperature: 373 K
film thickness: 70e-9
substrate: SiO2

References

R. Beaini, B. Baloukas, S. Loquai, J.E. Klemberg-Sapieha, L. Martinu. Thermochromic VO₂-based smart radiator devices with ultralow refractive index cavities for increased performance. Sol. Energy Mater. Sol. Cells 205, 110260 (2020) (Data points extracted from Fig. 1)

doi:10.1016/j.solmat.2019.110260 Thermochromic VO2-based smart radiator devices with ultralow refractive index cavities for increased performance, Solar Energy Materials and Solar Cells (2020)

Cite

R. Beaini, B. Baloukas, S. Loquai, J.E. Klemberg-Sapieha and L. Martinu. Thermochromic VO2-based smart radiator devices with ultralow refractive index cavities for increased performance. Solar Energy Materials and Solar Cells, 205, 110260 (2020), doi:10.1016/j.solmat.2019.110260; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

2451 rows as published

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

VO2 (Vanadium dioxide), Beaini et al. 2020: n,k 0.5–25 µm; 100 °C: n and k versus wavelength
λ (µm)	n	k
0.5	2.8968	0.5838
0.51	2.8633	0.4637
0.52	2.8277	0.4209
0.53	2.7906	0.4012
0.54	2.7527	0.3894
0.55	2.7145	0.382
0.56	2.6764	0.3776
0.57	2.6388	0.3753
0.58	2.6019	0.3745
0.59	2.5661	0.3749
0.6	2.531	0.3762
0.61	2.4966	0.3781
0.62	2.4627	0.3807
0.63	2.4291	0.3839
0.64	2.3956	0.3876
0.65	2.3622	0.3918
0.66	2.3284	0.3965
0.67	2.2942	0.4017
0.68	2.2598	0.4074
0.69	2.2256	0.4138
0.7	2.1923	0.4208
0.71	2.1599	0.4286
0.72	2.1286	0.4376
0.73	2.098	0.4483
0.74	2.0678	0.4627
0.75	2.0377	0.6064
0.76	2.0076	0.6279
0.77	1.9771	0.6447
0.78	1.9458	0.6599
0.79	1.9142	0.6745
0.8	1.8846	0.6892
0.81	1.8584	0.7048
0.82	1.8352	0.7226
0.83	1.8138	0.7483
0.84	1.7936	0.8683
0.85	1.7742	0.9
0.86	1.7557	0.9227
0.87	1.7378	0.943
0.88	1.7208	0.9628
0.89	1.7047	0.9836
0.9	1.6898	1.0079
0.91	1.6766	1.0455
0.92	1.6653	1.1171
0.93	1.6562	1.1666
0.94	1.6489	1.203
0.95	1.6432	1.2362
0.96	1.6385	1.2693
0.97	1.6346	1.3051
0.98	1.6313	1.3463
0.99	1.6286	1.3934
1.0	1.6266	1.443
1.01	1.6252	1.4905
1.02	1.6244	1.5346
1.03	1.6242	1.5759
1.04	1.6248	1.6152
1.05	1.626	1.6527
1.06	1.6278	1.6881
1.07	1.6303	1.7208
1.08	1.6334	1.7515
1.09	1.637	1.7813
1.1	1.6411	1.811
1.11	1.6456	1.8409
1.12	1.6505	1.871
1.13	1.6558	1.9017
1.14	1.6613	1.933
1.15	1.667	1.9655
1.16	1.673	1.9994
1.17	1.6791	2.0336
1.18	1.6855	2.0668
1.19	1.6921	2.0985
1.2	1.6988	2.1291
1.21	1.7057	2.1586
1.22	1.7128	2.1871
1.23	1.7202	2.2144
1.24	1.7277	2.2405
1.25	1.7354	2.2664
1.26	1.7433	2.2944
1.27	1.7514	2.3301
1.28	1.7598	2.391
1.29	1.7685	2.4461
1.3	1.7774	2.4799
1.31	1.7866	2.5064
1.32	1.796	2.531
1.33	1.8058	2.5559
1.34	1.816	2.5837
1.35	1.8265	2.6205
1.36	1.8374	2.673
1.37	1.8487	2.7138
1.38	1.8605	2.7388
1.39	1.8728	2.756
1.4	1.8859	2.7691
1.41	1.8996	2.7801
1.42	1.9138	2.7899
1.43	1.9281	2.7989
1.44	1.9415	2.8075
1.45	1.9527	2.8158
1.46	1.9581	2.8239
1.47	1.9456	2.832
1.48	1.8724	2.8402
1.49	1.8327	2.8485
1.5	1.8413	2.8571
1.51	1.859	2.866
1.52	1.8785	2.8752
1.53	1.8971	2.885
1.54	1.9137	2.8952
1.55	1.9277	2.9058
1.56	1.9397	2.917
1.57	1.9503	2.9286
1.58	1.9599	2.9408
1.59	1.9688	2.9536
1.6	1.9774	2.9671
1.61	1.9857	2.9814
1.62	1.9941	2.9968
1.63	2.0027	3.0134
1.64	2.0117	3.0321
1.65	2.021	3.0542
1.66	2.0307	3.0826
1.67	2.0409	3.1202
1.68	2.0515	3.1591
1.69	2.0626	3.186
1.7	2.0742	3.2054
1.71	2.0861	3.222
1.72	2.0985	3.2375
1.73	2.1113	3.2527
1.74	2.1245	3.2682
1.75	2.138	3.2846
1.76	2.1519	3.3028
1.77	2.1662	3.3238
1.78	2.1807	3.3485
1.79	2.1955	3.3765
1.8	2.2105	3.4066
1.81	2.2257	3.4366
1.82	2.2411	3.4636
1.83	2.2567	3.4855
1.84	2.2725	3.5039
1.85	2.2883	3.5209
1.86	2.3043	3.5381
1.87	2.3205	3.5571
1.88	2.3367	3.5793
1.89	2.353	3.6052
1.9	2.3695	3.6331
1.91	2.386	3.661
1.92	2.4026	3.6873
1.93	2.4192	3.7107
1.94	2.4359	3.7305
1.95	2.4527	3.7462
1.96	2.4695	3.7588
1.97	2.4863	3.7694
1.98	2.5031	3.779
1.99	2.5199	3.7885
2.0	2.5367	3.7987
2.01	2.5534	3.8105
2.02	2.57	3.8249
2.03	2.5866	3.8433
2.04	2.6031	3.8657
2.05	2.6194	3.891
2.06	2.6357	3.9174
2.07	2.6517	3.9433
2.08	2.6677	3.9666
2.09	2.6835	3.9862
2.1	2.6991	4.0013
2.11	2.7146	4.0131
2.12	2.7299	4.0227
2.13	2.7452	4.0312
2.14	2.7604	4.0393
2.15	2.7755	4.0473
2.16	2.7905	4.0557
2.17	2.8055	4.0647
2.18	2.8205	4.0745
2.19	2.8354	4.0852
2.2	2.8504	4.0967
2.21	2.8654	4.1088
2.22	2.8803	4.1215
2.23	2.8954	4.1346
2.24	2.9104	4.1482
2.25	2.9255	4.162
2.26	2.9407	4.1762
2.27	2.956	4.1907
2.28	2.9713	4.2053
2.29	2.9867	4.2202
2.3	3.0022	4.2353
2.31	3.0177	4.2506
2.32	3.0333	4.266
2.33	3.0489	4.2814
2.34	3.0645	4.2966
2.35	3.0801	4.3113
2.36	3.0958	4.3251
2.37	3.1114	4.3379
2.38	3.1271	4.3498
2.39	3.1427	4.3609
2.4	3.1583	4.3715
2.41	3.1738	4.3816
2.42	3.1894	4.3914
2.43	3.2048	4.401
2.44	3.2202	4.4105
2.45	3.2356	4.4197
2.46	3.2509	4.4289
2.47	3.266	4.438
2.48	3.2811	4.447
2.49	3.2961	4.4559
2.5	3.311	4.4648
2.51	3.3257	4.4736
2.52	3.3404	4.4824
2.53	3.3549	4.4911
2.54	3.3693	4.4998
2.55	3.3835	4.5084
2.56	3.3977	4.5171
2.57	3.4117	4.5257
2.58	3.4255	4.5343
2.59	3.4392	4.5429
2.6	3.4528	4.5515
2.61	3.4662	4.5602
2.62	3.4795	4.569
2.63	3.4926	4.578
2.64	3.5056	4.5872
2.65	3.5185	4.5966
2.66	3.5312	4.6064
2.67	3.5438	4.6164
2.68	3.5563	4.6268
2.69	3.5686	4.6375
2.7	3.5809	4.6484
2.71	3.593	4.6595
2.72	3.6051	4.6707
2.73	3.6171	4.6819
2.74	3.6291	4.693
2.75	3.641	4.7041
2.76	3.6529	4.7151
2.77	3.6647	4.726
2.78	3.6765	4.7367
2.79	3.6883	4.7471
2.8	3.7	4.7573
2.81	3.7118	4.7672
2.82	3.7235	4.7767
2.83	3.7353	4.7859
2.84	3.7471	4.7947
2.85	3.7588	4.8029
2.86	3.7706	4.8108
2.87	3.7825	4.8182
2.88	3.7943	4.8253
2.89	3.8062	4.832
2.9	3.8181	4.8386
2.91	3.83	4.8449
2.92	3.842	4.8512
2.93	3.854	4.8573
2.94	3.866	4.8635
2.95	3.8781	4.8697
2.96	3.8901	4.876
2.97	3.9022	4.8824
2.98	3.9143	4.889
2.99	3.9265	4.8958
3.0	3.9386	4.9028
3.01	3.9508	4.9101
3.02	3.9629	4.9176
3.03	3.9751	4.9253
3.04	3.9873	4.9331
3.05	3.9995	4.9412
3.06	4.0118	4.9493
3.07	4.024	4.9576
3.08	4.0362	4.9661
3.09	4.0485	4.9746
3.1	4.0607	4.9833
3.11	4.073	4.9921
3.12	4.0853	5.001
3.13	4.0975	5.0099
3.14	4.1098	5.019
3.15	4.1221	5.0281
3.16	4.1344	5.0373
3.17	4.1466	5.0466
3.18	4.1589	5.056
3.19	4.1712	5.0654
3.2	4.1835	5.0749
3.21	4.1958	5.0844
3.22	4.2081	5.0939
3.23	4.2204	5.1033
3.24	4.2327	5.1125
3.25	4.245	5.1217
3.26	4.2574	5.1306
3.27	4.2697	5.1393
3.28	4.2821	5.1478
3.29	4.2944	5.1561
3.3	4.3068	5.1642
3.31	4.3192	5.1721
3.32	4.3316	5.1799
3.33	4.3441	5.1874
3.34	4.3565	5.1949
3.35	4.369	5.2022
3.36	4.3815	5.2095
3.37	4.394	5.2167
3.38	4.4065	5.2238
3.39	4.419	5.2309
3.4	4.4316	5.2379
3.41	4.4441	5.245
3.42	4.4567	5.252
3.43	4.4693	5.2589
3.44	4.4818	5.2659
3.45	4.4944	5.2729
3.46	4.507	5.2798
3.47	4.5196	5.2868
3.48	4.5322	5.2938
3.49	4.5448	5.3008
3.5	4.5574	5.3078
3.51	4.57	5.3149
3.52	4.5825	5.322
3.53	4.5951	5.3292
3.54	4.6077	5.3365
3.55	4.6203	5.3438
3.56	4.6328	5.3512
3.57	4.6454	5.3586
3.58	4.658	5.3661
3.59	4.6705	5.3736
3.6	4.6831	5.3812
3.61	4.6956	5.3887
3.62	4.7081	5.3962
3.63	4.7207	5.4036
3.64	4.7332	5.4109
3.65	4.7457	5.4182
3.66	4.7582	5.4253
3.67	4.7707	5.4323
3.68	4.7832	5.4392
3.69	4.7957	5.4459
3.7	4.8082	5.4525
3.71	4.8206	5.459
3.72	4.8331	5.4653
3.73	4.8455	5.4715
3.74	4.8579	5.4775
3.75	4.8703	5.4835
3.76	4.8827	5.4893
3.77	4.8951	5.495
3.78	4.9075	5.5006
3.79	4.9198	5.5061
3.8	4.9322	5.5115
3.81	4.9446	5.5168
3.82	4.957	5.5219
3.83	4.9694	5.5269
3.84	4.9818	5.5318
3.85	4.9943	5.5366
3.86	5.0069	5.5413
3.87	5.0195	5.5458
3.88	5.0322	5.5502
3.89	5.045	5.5545
3.9	5.0578	5.5586
3.91	5.0706	5.5626
3.92	5.0835	5.5665
3.93	5.0964	5.5702
3.94	5.1093	5.5739
3.95	5.1221	5.5775
3.96	5.1349	5.581
3.97	5.1477	5.5845
3.98	5.1604	5.588
3.99	5.173	5.5914
4.0	5.1856	5.5948
4.01	5.198	5.5982
4.02	5.2103	5.6017
4.03	5.2225	5.6051
4.04	5.2346	5.6086
4.05	5.2466	5.6122
4.06	5.2584	5.6158
4.07	5.27	5.6194
4.08	5.2816	5.6232
4.09	5.293	5.627
4.1	5.3043	5.6308
4.11	5.3155	5.6348
4.12	5.3266	5.6388
4.13	5.3377	5.6429
4.14	5.3488	5.6471
4.15	5.3598	5.6513
4.16	5.3707	5.6556
4.17	5.3817	5.6598
4.18	5.3927	5.6641
4.19	5.4037	5.6684
4.2	5.4146	5.6727
4.21	5.4257	5.6769
4.22	5.4367	5.6812
4.23	5.4478	5.6854
4.24	5.459	5.6895
4.25	5.4702	5.6937
4.26	5.4815	5.6978
4.27	5.4928	5.7018
4.28	5.5042	5.7057
4.29	5.5155	5.7096
4.3	5.5269	5.7134
4.31	5.5383	5.7171
4.32	5.5497	5.7207
4.33	5.5611	5.7242
4.34	5.5724	5.7275
4.35	5.5838	5.7308
4.36	5.5951	5.7339
4.37	5.6064	5.7368
4.38	5.6176	5.7396
4.39	5.6288	5.7422
4.4	5.64	5.7446
4.41	5.6511	5.7468
4.42	5.6621	5.7489
4.43	5.6731	5.7509
4.44	5.684	5.7526
4.45	5.6948	5.7543
4.46	5.7055	5.7558
4.47	5.7162	5.7572
4.48	5.7268	5.7585
4.49	5.7372	5.7597
4.5	5.7476	5.7608
4.51	5.7579	5.7619
4.52	5.7682	5.7629
4.53	5.7783	5.7638
4.54	5.7884	5.7647
4.55	5.7984	5.7656
4.56	5.8083	5.7664
4.57	5.8181	5.7673
4.58	5.8279	5.7681
4.59	5.8376	5.769
4.6	5.8473	5.77
4.61	5.8569	5.7709
4.62	5.8664	5.7719
4.63	5.8759	5.773
4.64	5.8853	5.7742
4.65	5.8947	5.7754
4.66	5.904	5.7768
4.67	5.9133	5.7781
4.68	5.9225	5.7796
4.69	5.9317	5.7811
4.7	5.9409	5.7827
4.71	5.95	5.7843
4.72	5.9591	5.786
4.73	5.9681	5.7877
4.74	5.9771	5.7895
4.75	5.9861	5.7913
4.76	5.9951	5.7932
4.77	6.004	5.7951
4.78	6.0129	5.7971
4.79	6.0218	5.799
4.8	6.0306	5.801
4.81	6.0395	5.8031
4.82	6.0483	5.8052
4.83	6.0571	5.8072
4.84	6.0658	5.8094
4.85	6.0746	5.8115
4.86	6.0834	5.8136
4.87	6.0921	5.8158
4.88	6.1008	5.818
4.89	6.1095	5.8202
4.9	6.1182	5.8224
4.91	6.1269	5.8246
4.92	6.1356	5.8268
4.93	6.1442	5.829
4.94	6.1529	5.8312
4.95	6.1615	5.8335
4.96	6.1701	5.8357
4.97	6.1787	5.8379
4.98	6.1873	5.8401
4.99	6.196	5.8424
5.0	6.2045	5.8446
5.01	6.2131	5.8468
5.02	6.2217	5.849
5.03	6.2303	5.8512
5.04	6.2389	5.8534
5.05	6.2474	5.8556
5.06	6.256	5.8578
5.07	6.2646	5.86
5.08	6.2731	5.8622
5.09	6.2817	5.8643
5.1	6.2902	5.8665
5.11	6.2988	5.8687
5.12	6.3073	5.8708
5.13	6.3159	5.8729
5.14	6.3244	5.875
5.15	6.3329	5.8771
5.16	6.3414	5.8792
5.17	6.3499	5.8813
5.18	6.3584	5.8834
5.19	6.3669	5.8854
5.2	6.3754	5.8874
5.21	6.3838	5.8895
5.22	6.3923	5.8915
5.23	6.4007	5.8934
5.24	6.4092	5.8954
5.25	6.4176	5.8974
5.26	6.426	5.8993
5.27	6.4344	5.9013
5.28	6.4428	5.9032
5.29	6.4512	5.9051
5.3	6.4595	5.907
5.31	6.4679	5.9089
5.32	6.4762	5.9108
5.33	6.4845	5.9126
5.34	6.4929	5.9145
5.35	6.5012	5.9163
5.36	6.5095	5.9182
5.37	6.5178	5.92
5.38	6.526	5.9218
5.39	6.5343	5.9236
5.4	6.5426	5.9254
5.41	6.5508	5.9271
5.42	6.559	5.9289
5.43	6.5673	5.9306
5.44	6.5755	5.9324
5.45	6.5837	5.9341
5.46	6.5919	5.9358
5.47	6.6	5.9375
5.48	6.6082	5.9392
5.49	6.6163	5.9409
5.5	6.6245	5.9425
5.51	6.6326	5.9442
5.52	6.6407	5.9459
5.53	6.6488	5.9475
5.54	6.6569	5.9492
5.55	6.6649	5.9508
5.56	6.673	5.9525
5.57	6.681	5.9541
5.58	6.689	5.9557
5.59	6.697	5.9574
5.6	6.705	5.959
5.61	6.713	5.9607
5.62	6.7209	5.9623
5.63	6.7288	5.9639
5.64	6.7367	5.9656
5.65	6.7446	5.9672
5.66	6.7525	5.9689
5.67	6.7603	5.9705
5.68	6.7681	5.9722
5.69	6.7759	5.9738
5.7	6.7837	5.9755
5.71	6.7915	5.9772
5.72	6.7992	5.9789
5.73	6.8069	5.9806
5.74	6.8146	5.9823
5.75	6.8223	5.984
5.76	6.83	5.9857
5.77	6.8376	5.9874
5.78	6.8452	5.9891
5.79	6.8528	5.9908
5.8	6.8604	5.9925
5.81	6.868	5.9942
5.82	6.8756	5.9959
5.83	6.8831	5.9975
5.84	6.8907	5.9992
5.85	6.8982	6.0009
5.86	6.9058	6.0025
5.87	6.9133	6.0042
5.88	6.9208	6.0058
5.89	6.9283	6.0074
5.9	6.9358	6.009
5.91	6.9433	6.0106
5.92	6.9508	6.0121
5.93	6.9582	6.0137
5.94	6.9657	6.0152
5.95	6.9732	6.0167
5.96	6.9807	6.0182
5.97	6.9881	6.0197
5.98	6.9956	6.0211
5.99	7.0031	6.0225
6.0	7.0106	6.0239
6.01	7.0181	6.0252
6.02	7.0256	6.0265
6.03	7.0331	6.0278
6.04	7.0406	6.0291
6.05	7.0481	6.0303
6.06	7.0556	6.0315
6.07	7.0631	6.0326
6.08	7.0706	6.0338
6.09	7.0782	6.0349
6.1	7.0857	6.0359
6.11	7.0933	6.0369
6.12	7.1008	6.0379
6.13	7.1084	6.0388
6.14	7.1159	6.0397
6.15	7.1235	6.0406
6.16	7.1311	6.0414
6.17	7.1387	6.0422
6.18	7.1463	6.043
6.19	7.1539	6.0437
6.2	7.1615	6.0443
6.21	7.1691	6.045
6.22	7.1767	6.0455
6.23	7.1843	6.0461
6.24	7.1919	6.0466
6.25	7.1995	6.0471
6.26	7.2072	6.0475
6.27	7.2148	6.0479
6.28	7.2225	6.0483
6.29	7.2301	6.0486
6.3	7.2378	6.0489
6.31	7.2454	6.0492
6.32	7.2531	6.0494
6.33	7.2608	6.0496
6.34	7.2684	6.0498
6.35	7.2761	6.05
6.36	7.2838	6.0501
6.37	7.2915	6.0503
6.38	7.2992	6.0504
6.39	7.3069	6.0505
6.4	7.3145	6.0506
6.41	7.3222	6.0507
6.42	7.3299	6.0507
6.43	7.3376	6.0508
6.44	7.3452	6.0508
6.45	7.3529	6.0508
6.46	7.3605	6.0508
6.47	7.3682	6.0509
6.48	7.3758	6.0509
6.49	7.3834	6.0509
6.5	7.3911	6.0509
6.51	7.3986	6.0509
6.52	7.4062	6.0509
6.53	7.4138	6.0509
6.54	7.4213	6.0509
6.55	7.4289	6.0508
6.56	7.4364	6.0508
6.57	7.4439	6.0508
6.58	7.4514	6.0507
6.59	7.4588	6.0507
6.6	7.4662	6.0506
6.61	7.4737	6.0505
6.62	7.481	6.0504
6.63	7.4884	6.0502
6.64	7.4957	6.05
6.65	7.5031	6.0498
6.66	7.5103	6.0495
6.67	7.5176	6.0492
6.68	7.5248	6.0489
6.69	7.532	6.0485
6.7	7.5392	6.0481
6.71	7.5463	6.0476
6.72	7.5534	6.0471
6.73	7.5605	6.0465
6.74	7.5675	6.0459
6.75	7.5745	6.0452
6.76	7.5814	6.0444
6.77	7.5884	6.0437
6.78	7.5953	6.0428
6.79	7.6021	6.0419
6.8	7.609	6.0409
6.81	7.6157	6.0399
6.82	7.6225	6.0389
6.83	7.6292	6.0378
6.84	7.6359	6.0366
6.85	7.6426	6.0354
6.86	7.6492	6.0342
6.87	7.6557	6.033
6.88	7.6623	6.0317
6.89	7.6688	6.0304
6.9	7.6752	6.0291
6.91	7.6816	6.0278
6.92	7.688	6.0264
6.93	7.6943	6.025
6.94	7.7006	6.0236
6.95	7.7069	6.0222
6.96	7.713	6.0208
6.97	7.7192	6.0194
6.98	7.7253	6.018
6.99	7.7313	6.0165
7.0	7.7373	6.0151
7.01	7.7432	6.0137
7.02	7.7491	6.0123
7.03	7.7549	6.0109
7.04	7.7606	6.0095
7.05	7.7663	6.0081
7.06	7.7719	6.0068
7.07	7.7775	6.0054
7.08	7.7829	6.0041
7.09	7.7883	6.0027
7.1	7.7936	6.0014
7.11	7.7989	6.0001
7.12	7.8041	5.9988
7.13	7.8092	5.9975
7.14	7.8143	5.9961
7.15	7.8193	5.9948
7.16	7.8242	5.9934
7.17	7.8291	5.9921
7.18	7.8339	5.9907
7.19	7.8387	5.9893
7.2	7.8435	5.9878
7.21	7.8482	5.9864
7.22	7.8529	5.9849
7.23	7.8576	5.9834
7.24	7.8622	5.9818
7.25	7.8669	5.9802
7.26	7.8715	5.9786
7.27	7.8762	5.9769
7.28	7.8809	5.9752
7.29	7.8856	5.9734
7.3	7.8903	5.9717
7.31	7.8952	5.9698
7.32	7.9	5.9679
7.33	7.905	5.966
7.34	7.91	5.9641
7.35	7.915	5.9621
7.36	7.9201	5.9602
7.37	7.9252	5.9582
7.38	7.9303	5.9561
7.39	7.9354	5.9541
7.4	7.9406	5.952
7.41	7.9457	5.95
7.42	7.9507	5.9479
7.43	7.9558	5.9459
7.44	7.9608	5.9438
7.45	7.9657	5.9417
7.46	7.9705	5.9396
7.47	7.9753	5.9376
7.48	7.98	5.9355
7.49	7.9847	5.9335
7.5	7.9892	5.9314
7.51	7.9937	5.9294
7.52	7.9981	5.9274
7.53	8.0024	5.9255
7.54	8.0066	5.9235
7.55	8.0107	5.9216
7.56	8.0147	5.9197
7.57	8.0187	5.9179
7.58	8.0226	5.916
7.59	8.0264	5.9143
7.6	8.0302	5.9126
7.61	8.0339	5.9109
7.62	8.0375	5.9092
7.63	8.0412	5.9076
7.64	8.0447	5.9061
7.65	8.0483	5.9045
7.66	8.0518	5.903
7.67	8.0552	5.9015
7.68	8.0586	5.9
7.69	8.062	5.8985
7.7	8.0654	5.8971
7.71	8.0687	5.8956
7.72	8.072	5.8941
7.73	8.0753	5.8926
7.74	8.0786	5.8911
7.75	8.0818	5.8896
7.76	8.085	5.8881
7.77	8.0882	5.8865
7.78	8.0913	5.8849
7.79	8.0944	5.8833
7.8	8.0976	5.8816
7.81	8.1007	5.8799
7.82	8.1037	5.8781
7.83	8.1068	5.8763
7.84	8.1099	5.8745
7.85	8.1129	5.8726
7.86	8.1159	5.8707
7.87	8.1189	5.8688
7.88	8.1219	5.8669
7.89	8.1249	5.865
7.9	8.1278	5.863
7.91	8.1307	5.861
7.92	8.1336	5.859
7.93	8.1365	5.857
7.94	8.1394	5.855
7.95	8.1423	5.853
7.96	8.1451	5.851
7.97	8.1479	5.8489
7.98	8.1507	5.8469
7.99	8.1534	5.8449
8.0	8.1561	5.8429
8.01	8.1588	5.8408
8.02	8.1615	5.8388
8.03	8.1642	5.8368
8.04	8.1668	5.8348
8.05	8.1694	5.8328
8.06	8.172	5.8308
8.07	8.1745	5.8288
8.08	8.177	5.8269
8.09	8.1795	5.825
8.1	8.182	5.823
8.11	8.1844	5.8211
8.12	8.1868	5.8193
8.13	8.1892	5.8174
8.14	8.1916	5.8156
8.15	8.1939	5.8138
8.16	8.1961	5.812
8.17	8.1984	5.8103
8.18	8.2006	5.8086
8.19	8.2028	5.8069
8.2	8.2049	5.8053
8.21	8.207	5.8037
8.22	8.2091	5.8021
8.23	8.2111	5.8006
8.24	8.2131	5.7991
8.25	8.215	5.7976
8.26	8.2169	5.7962
8.27	8.2188	5.7948
8.28	8.2206	5.7935
8.29	8.2224	5.7922
8.3	8.2241	5.7909
8.31	8.2257	5.7897
8.32	8.2273	5.7885
8.33	8.2288	5.7874
8.34	8.2303	5.7863
8.35	8.2317	5.7852
8.36	8.2331	5.7842
8.37	8.2344	5.7832
8.38	8.2357	5.7822
8.39	8.2369	5.7813
8.4	8.238	5.7804
8.41	8.2391	5.7795
8.42	8.2401	5.7786
8.43	8.2411	5.7778
8.44	8.242	5.777
8.45	8.2429	5.7762
8.46	8.2438	5.7754
8.47	8.2446	5.7746
8.48	8.2453	5.7739
8.49	8.2461	5.7731
8.5	8.2468	5.7724
8.51	8.2475	5.7717
8.52	8.2481	5.771
8.53	8.2487	5.7703
8.54	8.2493	5.7696
8.55	8.2499	5.7689
8.56	8.2504	5.7682
8.57	8.251	5.7675
8.58	8.2515	5.7668
8.59	8.252	5.7661
8.6	8.2524	5.7654
8.61	8.2529	5.7647
8.62	8.2533	5.7639
8.63	8.2538	5.7632
8.64	8.2542	5.7625
8.65	8.2546	5.7617
8.66	8.255	5.761
8.67	8.2553	5.7602
8.68	8.2557	5.7595
8.69	8.2561	5.7587
8.7	8.2564	5.7579
8.71	8.2567	5.7572
8.72	8.2571	5.7565
8.73	8.2574	5.7557
8.74	8.2577	5.755
8.75	8.258	5.7544
8.76	8.2583	5.7537
8.77	8.2585	5.7531
8.78	8.2588	5.7525
8.79	8.2591	5.7519
8.8	8.2593	5.7514
8.81	8.2595	5.7508
8.82	8.2598	5.7504
8.83	8.26	5.7499
8.84	8.2602	5.7495
8.85	8.2604	5.7492
8.86	8.2606	5.7489
8.87	8.2608	5.7486
8.88	8.261	5.7483
8.89	8.2611	5.7481
8.9	8.2613	5.7479
8.91	8.2614	5.7478
8.92	8.2615	5.7476
8.93	8.2616	5.7475
8.94	8.2617	5.7475
8.95	8.2618	5.7474
8.96	8.2619	5.7474
8.97	8.2619	5.7474
8.98	8.262	5.7474
8.99	8.262	5.7475
9.0	8.262	5.7475
9.01	8.262	5.7476
9.02	8.2619	5.7478
9.03	8.2619	5.7479
9.04	8.2618	5.7481
9.05	8.2617	5.7483
9.06	8.2616	5.7485
9.07	8.2615	5.7487
9.08	8.2614	5.749
9.09	8.2612	5.7493
9.1	8.261	5.7497
9.11	8.2608	5.75
9.12	8.2606	5.7504
9.13	8.2603	5.7508
9.14	8.26	5.7513
9.15	8.2597	5.7518
9.16	8.2594	5.7524
9.17	8.259	5.753
9.18	8.2586	5.7536
9.19	8.2582	5.7543
9.2	8.2577	5.755
9.21	8.2572	5.7558
9.22	8.2567	5.7567
9.23	8.2561	5.7575
9.24	8.2555	5.7585
9.25	8.2548	5.7595
9.26	8.2541	5.7605
9.27	8.2534	5.7615
9.28	8.2526	5.7626
9.29	8.2517	5.7638
9.3	8.2508	5.7649
9.31	8.2499	5.7661
9.32	8.2488	5.7672
9.33	8.2477	5.7684
9.34	8.2466	5.7696
9.35	8.2453	5.7708
9.36	8.244	5.772
9.37	8.2426	5.7731
9.38	8.2411	5.7743
9.39	8.2396	5.7754
9.4	8.238	5.7766
9.41	8.2362	5.7777
9.42	8.2345	5.7788
9.43	8.2326	5.7799
9.44	8.2308	5.781
9.45	8.2288	5.7821
9.46	8.2268	5.7832
9.47	8.2248	5.7843
9.48	8.2228	5.7854
9.49	8.2207	5.7865
9.5	8.2187	5.7877
9.51	8.2166	5.7888
9.52	8.2145	5.7899
9.53	8.2124	5.7911
9.54	8.2104	5.7923
9.55	8.2083	5.7935
9.56	8.2063	5.7947
9.57	8.2043	5.7959
9.58	8.2023	5.7972
9.59	8.2004	5.7985
9.6	8.1984	5.7998
9.61	8.1966	5.8011
9.62	8.1947	5.8025
9.63	8.1928	5.8039
9.64	8.191	5.8054
9.65	8.1892	5.8069
9.66	8.1874	5.8084
9.67	8.1856	5.81
9.68	8.1839	5.8117
9.69	8.1821	5.8134
9.7	8.1804	5.8152
9.71	8.1786	5.8171
9.72	8.1769	5.819
9.73	8.1752	5.8211
9.74	8.1735	5.8232
9.75	8.1718	5.8254
9.76	8.1701	5.8277
9.77	8.1684	5.8301
9.78	8.1667	5.8326
9.79	8.165	5.8352
9.8	8.1633	5.8378
9.81	8.1616	5.8406
9.82	8.1599	5.8435
9.83	8.1582	5.8464
9.84	8.1565	5.8494
9.85	8.1549	5.8525
9.86	8.1532	5.8556
9.87	8.1515	5.8588
9.88	8.1498	5.8621
9.89	8.1481	5.8654
9.9	8.1464	5.8687
9.91	8.1447	5.8721
9.92	8.143	5.8754
9.93	8.1413	5.8789
9.94	8.1396	5.8823
9.95	8.1379	5.8857
9.96	8.1362	5.8892
9.97	8.1345	5.8926
9.98	8.1328	5.8961
9.99	8.1311	5.8996
10.0	8.1294	5.9031
10.01	8.1276	5.9066
10.02	8.1259	5.9101
10.03	8.1242	5.9137
10.04	8.1225	5.9172
10.05	8.1207	5.9208
10.06	8.119	5.9244
10.07	8.1173	5.928
10.08	8.1156	5.9317
10.09	8.1139	5.9353
10.1	8.1122	5.939
10.11	8.1104	5.9428
10.12	8.1087	5.9465
10.13	8.107	5.9503
10.14	8.1053	5.9541
10.15	8.1036	5.9579
10.16	8.1019	5.9618
10.17	8.1003	5.9657
10.18	8.0986	5.9697
10.19	8.0969	5.9737
10.2	8.0952	5.9778
10.21	8.0936	5.982
10.22	8.0919	5.9862
10.23	8.0903	5.9905
10.24	8.0887	5.995
10.25	8.0871	5.9995
10.26	8.0855	6.0042
10.27	8.0839	6.009
10.28	8.0823	6.014
10.29	8.0807	6.0191
10.3	8.0792	6.0244
10.31	8.0777	6.0299
10.32	8.0762	6.0356
10.33	8.0747	6.0414
10.34	8.0732	6.0475
10.35	8.0718	6.0536
10.36	8.0704	6.0598
10.37	8.069	6.0662
10.38	8.0677	6.0725
10.39	8.0664	6.0789
10.4	8.0652	6.0853
10.41	8.064	6.0917
10.42	8.0628	6.098
10.43	8.0617	6.1043
10.44	8.0606	6.1105
10.45	8.0596	6.1167
10.46	8.0587	6.1229
10.47	8.0578	6.1291
10.48	8.0569	6.1353
10.49	8.0561	6.1414
10.5	8.0554	6.1476
10.51	8.0547	6.1537
10.52	8.054	6.1599
10.53	8.0534	6.166
10.54	8.0529	6.1722
10.55	8.0523	6.1784
10.56	8.0519	6.1846
10.57	8.0514	6.1908
10.58	8.0509	6.197
10.59	8.0505	6.2032
10.6	8.05	6.2095
10.61	8.0496	6.2158
10.62	8.0492	6.2222
10.63	8.0487	6.2286
10.64	8.0483	6.235
10.65	8.0479	6.2415
10.66	8.0475	6.2481
10.67	8.0471	6.2548
10.68	8.0468	6.2615
10.69	8.0464	6.2683
10.7	8.0461	6.2751
10.71	8.0458	6.2821
10.72	8.0456	6.289
10.73	8.0454	6.296
10.74	8.0452	6.3031
10.75	8.0451	6.3101
10.76	8.045	6.3172
10.77	8.0449	6.3242
10.78	8.0449	6.3312
10.79	8.045	6.3382
10.8	8.045	6.3451
10.81	8.0452	6.352
10.82	8.0454	6.3589
10.83	8.0456	6.3657
10.84	8.0459	6.3724
10.85	8.0462	6.3791
10.86	8.0467	6.3858
10.87	8.0471	6.3925
10.88	8.0477	6.3991
10.89	8.0483	6.4057
10.9	8.0489	6.4124
10.91	8.0497	6.419
10.92	8.0505	6.4256
10.93	8.0513	6.4323
10.94	8.0522	6.4389
10.95	8.0532	6.4456
10.96	8.0543	6.4523
10.97	8.0554	6.459
10.98	8.0566	6.4658
10.99	8.0579	6.4726
11.0	8.0592	6.4794
11.01	8.0606	6.4863
11.02	8.062	6.4933
11.03	8.0635	6.5004
11.04	8.0651	6.5076
11.05	8.0668	6.5149
11.06	8.0685	6.5224
11.07	8.0703	6.5301
11.08	8.0722	6.538
11.09	8.0741	6.5461
11.1	8.0761	6.5544
11.11	8.0782	6.563
11.12	8.0804	6.5718
11.13	8.0827	6.5808
11.14	8.085	6.5899
11.15	8.0874	6.599
11.16	8.0899	6.608
11.17	8.0925	6.617
11.18	8.0951	6.6258
11.19	8.0979	6.6344
11.2	8.1007	6.6428
11.21	8.1036	6.6511
11.22	8.1066	6.6592
11.23	8.1097	6.6673
11.24	8.1129	6.6752
11.25	8.1161	6.6831
11.26	8.1194	6.691
11.27	8.1228	6.6987
11.28	8.1262	6.7065
11.29	8.1297	6.7142
11.3	8.1332	6.7218
11.31	8.1368	6.7295
11.32	8.1404	6.7371
11.33	8.1441	6.7447
11.34	8.1478	6.7523
11.35	8.1515	6.7599
11.36	8.1553	6.7675
11.37	8.1591	6.7751
11.38	8.1629	6.7827
11.39	8.1667	6.7903
11.4	8.1706	6.7979
11.41	8.1744	6.8056
11.42	8.1783	6.8132
11.43	8.1821	6.8208
11.44	8.1859	6.8284
11.45	8.1898	6.8359
11.46	8.1936	6.8434
11.47	8.1974	6.8508
11.48	8.2012	6.8582
11.49	8.205	6.8656
11.5	8.2088	6.8728
11.51	8.2126	6.88
11.52	8.2165	6.8872
11.53	8.2204	6.8943
11.54	8.2243	6.9013
11.55	8.2282	6.9082
11.56	8.2322	6.9151
11.57	8.2363	6.922
11.58	8.2403	6.9287
11.59	8.2445	6.9355
11.6	8.2487	6.9423
11.61	8.253	6.949
11.62	8.2573	6.9557
11.63	8.2617	6.9624
11.64	8.2662	6.9691
11.65	8.2708	6.9758
11.66	8.2754	6.9825
11.67	8.2801	6.9892
11.68	8.285	6.9959
11.69	8.2899	7.0027
11.7	8.2949	7.0094
11.71	8.2999	7.0163
11.72	8.3051	7.0231
11.73	8.3104	7.0301
11.74	8.3158	7.0371
11.75	8.3212	7.0442
11.76	8.3268	7.0514
11.77	8.3324	7.0588
11.78	8.3381	7.0664
11.79	8.3438	7.074
11.8	8.3496	7.0817
11.81	8.3555	7.0894
11.82	8.3614	7.0971
11.83	8.3674	7.1046
11.84	8.3734	7.1119
11.85	8.3795	7.119
11.86	8.3856	7.1258
11.87	8.3918	7.1324
11.88	8.398	7.1388
11.89	8.4042	7.1449
11.9	8.4105	7.1509
11.91	8.4168	7.1566
11.92	8.4231	7.1623
11.93	8.4295	7.1678
11.94	8.4359	7.1732
11.95	8.4422	7.1786
11.96	8.4487	7.1839
11.97	8.4551	7.1891
11.98	8.4615	7.1943
11.99	8.4679	7.1994
12.0	8.4743	7.2045
12.01	8.4808	7.2095
12.02	8.4871	7.2145
12.03	8.4935	7.2195
12.04	8.4999	7.2244
12.05	8.5062	7.2294
12.06	8.5125	7.2343
12.07	8.5188	7.2391
12.08	8.5251	7.244
12.09	8.5314	7.2489
12.1	8.5377	7.2537
12.11	8.5441	7.2585
12.12	8.5504	7.2633
12.13	8.5569	7.2681
12.14	8.5633	7.2729
12.15	8.5698	7.2777
12.16	8.5764	7.2825
12.17	8.583	7.2873
12.18	8.5897	7.2921
12.19	8.5964	7.2969
12.2	8.6032	7.3017
12.21	8.61	7.3064
12.22	8.6169	7.3112
12.23	8.6237	7.3159
12.24	8.6306	7.3206
12.25	8.6376	7.3252
12.26	8.6445	7.3299
12.27	8.6515	7.3345
12.28	8.6585	7.339
12.29	8.6655	7.3436
12.3	8.6725	7.348
12.31	8.6795	7.3524
12.32	8.6865	7.3568
12.33	8.6935	7.3611
12.34	8.7005	7.3654
12.35	8.7075	7.3696
12.36	8.7145	7.3738
12.37	8.7215	7.3779
12.38	8.7285	7.3819
12.39	8.7355	7.3859
12.4	8.7425	7.3899
12.41	8.7495	7.3938
12.42	8.7565	7.3977
12.43	8.7635	7.4016
12.44	8.7705	7.4053
12.45	8.7774	7.4091
12.46	8.7844	7.4128
12.47	8.7913	7.4165
12.48	8.7983	7.4201
12.49	8.8052	7.4237
12.5	8.8121	7.4272
12.51	8.819	7.4308
12.52	8.8259	7.4342
12.53	8.8327	7.4376
12.54	8.8396	7.441
12.55	8.8464	7.4444
12.56	8.8533	7.4477
12.57	8.8601	7.4509
12.58	8.8669	7.4541
12.59	8.8736	7.4573
12.6	8.8804	7.4604
12.61	8.8872	7.4634
12.62	8.8939	7.4665
12.63	8.9006	7.4694
12.64	8.9074	7.4723
12.65	8.9141	7.4752
12.66	8.9207	7.478
12.67	8.9274	7.4807
12.68	8.9341	7.4834
12.69	8.9407	7.486
12.7	8.9474	7.4885
12.71	8.954	7.491
12.72	8.9606	7.4935
12.73	8.9672	7.4959
12.74	8.9738	7.4982
12.75	8.9803	7.5005
12.76	8.9869	7.5028
12.77	8.9934	7.505
12.78	9.0	7.5071
12.79	9.0065	7.5092
12.8	9.013	7.5113
12.81	9.0195	7.5133
12.82	9.0259	7.5153
12.83	9.0324	7.5173
12.84	9.0389	7.5192
12.85	9.0453	7.521
12.86	9.0517	7.5229
12.87	9.0581	7.5247
12.88	9.0645	7.5265
12.89	9.0709	7.5283
12.9	9.0773	7.53
12.91	9.0837	7.5317
12.92	9.09	7.5334
12.93	9.0963	7.5351
12.94	9.1027	7.5368
12.95	9.109	7.5384
12.96	9.1153	7.5401
12.97	9.1215	7.5417
12.98	9.1278	7.5433
12.99	9.1341	7.5448
13.0	9.1403	7.5463
13.01	9.1466	7.5478
13.02	9.1528	7.5492
13.03	9.159	7.5506
13.04	9.1652	7.552
13.05	9.1714	7.5533
13.06	9.1775	7.5545
13.07	9.1837	7.5557
13.08	9.1898	7.5569
13.09	9.1959	7.5579
13.1	9.2021	7.5589
13.11	9.2082	7.5599
13.12	9.2142	7.5608
13.13	9.2203	7.5616
13.14	9.2264	7.5623
13.15	9.2324	7.563
13.16	9.2384	7.5635
13.17	9.2445	7.564
13.18	9.2504	7.5644
13.19	9.2564	7.5648
13.2	9.2624	7.565
13.21	9.2683	7.5652
13.22	9.2743	7.5653
13.23	9.2802	7.5654
13.24	9.2861	7.5654
13.25	9.2919	7.5653
13.26	9.2978	7.5653
13.27	9.3036	7.5652
13.28	9.3094	7.565
13.29	9.3152	7.5649
13.3	9.3209	7.5647
13.31	9.3267	7.5645
13.32	9.3324	7.5643
13.33	9.338	7.5641
13.34	9.3437	7.5639
13.35	9.3493	7.5637
13.36	9.3548	7.5636
13.37	9.3604	7.5634
13.38	9.3659	7.5633
13.39	9.3713	7.5632
13.4	9.3768	7.5632
13.41	9.3821	7.5632
13.42	9.3875	7.5632
13.43	9.3928	7.5633
13.44	9.398	7.5634
13.45	9.4032	7.5636
13.46	9.4083	7.5639
13.47	9.4134	7.5642
13.48	9.4185	7.5645
13.49	9.4234	7.5649
13.5	9.4284	7.5653
13.51	9.4332	7.5657
13.52	9.4381	7.5661
13.53	9.4428	7.5666
13.54	9.4475	7.5671
13.55	9.4522	7.5675
13.56	9.4568	7.568
13.57	9.4613	7.5685
13.58	9.4658	7.5689
13.59	9.4703	7.5694
13.6	9.4747	7.5698
13.61	9.479	7.5702
13.62	9.4834	7.5706
13.63	9.4877	7.5709
13.64	9.4919	7.5712
13.65	9.4961	7.5714
13.66	9.5003	7.5716
13.67	9.5045	7.5718
13.68	9.5087	7.5719
13.69	9.5128	7.5719
13.7	9.5169	7.5719
13.71	9.521	7.5718
13.72	9.5251	7.5716
13.73	9.5291	7.5714
13.74	9.5332	7.571
13.75	9.5372	7.5707
13.76	9.5413	7.5702
13.77	9.5453	7.5697
13.78	9.5493	7.5692
13.79	9.5533	7.5687
13.8	9.5573	7.5681
13.81	9.5613	7.5674
13.82	9.5652	7.5668
13.83	9.5692	7.5661
13.84	9.5731	7.5654
13.85	9.577	7.5647
13.86	9.5809	7.564
13.87	9.5847	7.5633
13.88	9.5886	7.5626
13.89	9.5924	7.562
13.9	9.5962	7.5613
13.91	9.6	7.5607
13.92	9.6038	7.56
13.93	9.6075	7.5595
13.94	9.6112	7.5589
13.95	9.6149	7.5584
13.96	9.6185	7.5579
13.97	9.6221	7.5575
13.98	9.6257	7.5572
13.99	9.6293	7.5569
14.0	9.6328	7.5566
14.01	9.6363	7.5565
14.02	9.6397	7.5563
14.03	9.6431	7.5563
14.04	9.6465	7.5562
14.05	9.6498	7.5563
14.06	9.6531	7.5563
14.07	9.6563	7.5565
14.08	9.6595	7.5566
14.09	9.6626	7.5568
14.1	9.6657	7.557
14.11	9.6687	7.5573
14.12	9.6716	7.5575
14.13	9.6745	7.5578
14.14	9.6773	7.5581
14.15	9.6801	7.5585
14.16	9.6828	7.5588
14.17	9.6855	7.5592
14.18	9.6882	7.5595
14.19	9.6908	7.5599
14.2	9.6933	7.5603
14.21	9.6958	7.5607
14.22	9.6982	7.561
14.23	9.7007	7.5614
14.24	9.703	7.5617
14.25	9.7054	7.562
14.26	9.7077	7.5623
14.27	9.71	7.5626
14.28	9.7122	7.5628
14.29	9.7144	7.563
14.3	9.7166	7.5631
14.31	9.7188	7.5632
14.32	9.721	7.5633
14.33	9.7232	7.5633
14.34	9.7253	7.5633
14.35	9.7275	7.5633
14.36	9.7296	7.5633
14.37	9.7318	7.5632
14.38	9.7339	7.5632
14.39	9.7361	7.5631
14.4	9.7383	7.563
14.41	9.7405	7.5629
14.42	9.7427	7.5628
14.43	9.7449	7.5627
14.44	9.747	7.5626
14.45	9.7492	7.5626
14.46	9.7514	7.5625
14.47	9.7536	7.5625
14.48	9.7558	7.5624
14.49	9.7579	7.5624
14.5	9.7601	7.5624
14.51	9.7622	7.5624
14.52	9.7643	7.5625
14.53	9.7664	7.5625
14.54	9.7685	7.5626
14.55	9.7706	7.5627
14.56	9.7726	7.5628
14.57	9.7746	7.5629
14.58	9.7766	7.563
14.59	9.7786	7.5631
14.6	9.7805	7.5633
14.61	9.7824	7.5634
14.62	9.7843	7.5636
14.63	9.7861	7.5638
14.64	9.7879	7.564
14.65	9.7897	7.5642
14.66	9.7915	7.5644
14.67	9.7932	7.5646
14.68	9.7949	7.5648
14.69	9.7966	7.5651
14.7	9.7982	7.5654
14.71	9.7998	7.5656
14.72	9.8014	7.5659
14.73	9.803	7.5662
14.74	9.8045	7.5665
14.75	9.8061	7.5669
14.76	9.8076	7.5672
14.77	9.8091	7.5676
14.78	9.8106	7.568
14.79	9.8121	7.5684
14.8	9.8135	7.5688
14.81	9.815	7.5692
14.82	9.8164	7.5697
14.83	9.8178	7.5702
14.84	9.8193	7.5707
14.85	9.8207	7.5712
14.86	9.8221	7.5717
14.87	9.8235	7.5723
14.88	9.8249	7.5729
14.89	9.8263	7.5735
14.9	9.8277	7.5741
14.91	9.8291	7.5748
14.92	9.8305	7.5755
14.93	9.832	7.5762
14.94	9.8334	7.5769
14.95	9.8348	7.5777
14.96	9.8362	7.5785
14.97	9.8376	7.5793
14.98	9.8391	7.5801
14.99	9.8405	7.581
15.0	9.8419	7.5818
15.01	9.8434	7.5827
15.02	9.8449	7.5836
15.03	9.8463	7.5845
15.04	9.8478	7.5854
15.05	9.8493	7.5864
15.06	9.8508	7.5873
15.07	9.8523	7.5883
15.08	9.8538	7.5893
15.09	9.8553	7.5902
15.1	9.8568	7.5913
15.11	9.8583	7.5923
15.12	9.8599	7.5933
15.13	9.8614	7.5943
15.14	9.8629	7.5954
15.15	9.8643	7.5964
15.16	9.8658	7.5975
15.17	9.8673	7.5986
15.18	9.8688	7.5997
15.19	9.8702	7.6008
15.2	9.8717	7.6019
15.21	9.8731	7.6031
15.22	9.8745	7.6042
15.23	9.8759	7.6054
15.24	9.8773	7.6066
15.25	9.8786	7.6078
15.26	9.88	7.609
15.27	9.8813	7.6102
15.28	9.8826	7.6114
15.29	9.8839	7.6127
15.3	9.8851	7.614
15.31	9.8863	7.6153
15.32	9.8875	7.6166
15.33	9.8887	7.618
15.34	9.8899	7.6193
15.35	9.891	7.6207
15.36	9.8921	7.6222
15.37	9.8931	7.6236
15.38	9.8942	7.6251
15.39	9.8952	7.6266
15.4	9.8961	7.6282
15.41	9.8971	7.6297
15.42	9.8981	7.6313
15.43	9.899	7.633
15.44	9.8999	7.6346
15.45	9.9008	7.6363
15.46	9.9017	7.638
15.47	9.9026	7.6397
15.48	9.9034	7.6414
15.49	9.9043	7.6431
15.5	9.9052	7.6448
15.51	9.906	7.6466
15.52	9.9069	7.6483
15.53	9.9077	7.6501
15.54	9.9086	7.6518
15.55	9.9094	7.6536
15.56	9.9103	7.6553
15.57	9.9112	7.6571
15.58	9.9121	7.6588
15.59	9.913	7.6605
15.6	9.9139	7.6622
15.61	9.9148	7.664
15.62	9.9157	7.6657
15.63	9.9167	7.6674
15.64	9.9176	7.6691
15.65	9.9186	7.6708
15.66	9.9196	7.6725
15.67	9.9207	7.6742
15.68	9.9217	7.6759
15.69	9.9228	7.6776
15.7	9.9239	7.6793
15.71	9.925	7.6809
15.72	9.9262	7.6826
15.73	9.9274	7.6843
15.74	9.9287	7.686
15.75	9.9299	7.6877
15.76	9.9312	7.6894
15.77	9.9325	7.6911
15.78	9.9339	7.6927
15.79	9.9353	7.6944
15.8	9.9367	7.6961
15.81	9.9381	7.6978
15.82	9.9396	7.6995
15.83	9.9411	7.7011
15.84	9.9426	7.7028
15.85	9.9441	7.7045
15.86	9.9456	7.7062
15.87	9.9472	7.7079
15.88	9.9487	7.7096
15.89	9.9503	7.7113
15.9	9.9519	7.713
15.91	9.9535	7.7147
15.92	9.9551	7.7165
15.93	9.9568	7.7183
15.94	9.9584	7.7201
15.95	9.96	7.7219
15.96	9.9617	7.7238
15.97	9.9633	7.7257
15.98	9.965	7.7277
15.99	9.9667	7.7297
16.0	9.9683	7.7318
16.01	9.97	7.7339
16.02	9.9716	7.7361
16.03	9.9733	7.7384
16.04	9.9749	7.7407
16.05	9.9766	7.7431
16.06	9.9782	7.7456
16.07	9.9798	7.7481
16.08	9.9814	7.7507
16.09	9.9831	7.7534
16.1	9.9847	7.7562
16.11	9.9862	7.759
16.12	9.9878	7.7619
16.13	9.9894	7.7649
16.14	9.9909	7.7679
16.15	9.9925	7.7709
16.16	9.994	7.774
16.17	9.9955	7.7771
16.18	9.997	7.7802
16.19	9.9985	7.7834
16.2	10.0	7.7865
16.21	10.0015	7.7896
16.22	10.003	7.7928
16.23	10.0044	7.7959
16.24	10.0059	7.799
16.25	10.0073	7.8021
16.26	10.0088	7.8052
16.27	10.0102	7.8082
16.28	10.0116	7.8112
16.29	10.013	7.8142
16.3	10.0144	7.8171
16.31	10.0158	7.82
16.32	10.0172	7.8228
16.33	10.0186	7.8255
16.34	10.02	7.8282
16.35	10.0214	7.8308
16.36	10.0227	7.8333
16.37	10.0241	7.8357
16.38	10.0255	7.838
16.39	10.0268	7.8402
16.4	10.0282	7.8423
16.41	10.0295	7.8444
16.42	10.0309	7.8463
16.43	10.0322	7.8482
16.44	10.0335	7.85
16.45	10.0349	7.8518
16.46	10.0362	7.8535
16.47	10.0375	7.8552
16.48	10.0388	7.8569
16.49	10.0402	7.8585
16.5	10.0415	7.8602
16.51	10.0428	7.8619
16.52	10.0441	7.8635
16.53	10.0454	7.8653
16.54	10.0467	7.867
16.55	10.048	7.8688
16.56	10.0493	7.8707
16.57	10.0506	7.8726
16.58	10.0519	7.8746
16.59	10.0532	7.8766
16.6	10.0546	7.8788
16.61	10.0559	7.8811
16.62	10.0572	7.8834
16.63	10.0585	7.8859
16.64	10.0598	7.8885
16.65	10.0612	7.8911
16.66	10.0625	7.8939
16.67	10.0639	7.8968
16.68	10.0652	7.8998
16.69	10.0666	7.9028
16.7	10.0679	7.9059
16.71	10.0693	7.9091
16.72	10.0707	7.9123
16.73	10.0721	7.9156
16.74	10.0735	7.9189
16.75	10.0749	7.9223
16.76	10.0763	7.9257
16.77	10.0778	7.9291
16.78	10.0792	7.9325
16.79	10.0807	7.936
16.8	10.0822	7.9395
16.81	10.0837	7.9429
16.82	10.0852	7.9464
16.83	10.0867	7.9499
16.84	10.0883	7.9534
16.85	10.0898	7.9568
16.86	10.0914	7.9603
16.87	10.093	7.9637
16.88	10.0946	7.967
16.89	10.0962	7.9704
16.9	10.0979	7.9737
16.91	10.0995	7.9769
16.92	10.1012	7.9801
16.93	10.1029	7.9832
16.94	10.1046	7.9862
16.95	10.1064	7.9892
16.96	10.1081	7.9921
16.97	10.1099	7.9949
16.98	10.1117	7.9977
16.99	10.1135	8.0004
17.0	10.1154	8.003
17.01	10.1172	8.0057
17.02	10.1191	8.0082
17.03	10.121	8.0108
17.04	10.1229	8.0133
17.05	10.1248	8.0158
17.06	10.1267	8.0184
17.07	10.1286	8.0209
17.08	10.1306	8.0234
17.09	10.1326	8.026
17.1	10.1345	8.0285
17.11	10.1365	8.0312
17.12	10.1386	8.0338
17.13	10.1406	8.0365
17.14	10.1426	8.0393
17.15	10.1447	8.0422
17.16	10.1467	8.0451
17.17	10.1488	8.0482
17.18	10.1509	8.0513
17.19	10.153	8.0545
17.2	10.1551	8.0579
17.21	10.1572	8.0613
17.22	10.1593	8.0648
17.23	10.1614	8.0684
17.24	10.1635	8.0721
17.25	10.1657	8.0758
17.26	10.1678	8.0795
17.27	10.17	8.0833
17.28	10.1722	8.0872
17.29	10.1744	8.091
17.3	10.1765	8.0949
17.31	10.1787	8.0987
17.32	10.1809	8.1026
17.33	10.1831	8.1065
17.34	10.1854	8.1103
17.35	10.1876	8.1141
17.36	10.1898	8.1179
17.37	10.192	8.1216
17.38	10.1943	8.1253
17.39	10.1965	8.1289
17.4	10.1987	8.1325
17.41	10.201	8.136
17.42	10.2033	8.1393
17.43	10.2055	8.1426
17.44	10.2078	8.1458
17.45	10.21	8.1489
17.46	10.2123	8.1518
17.47	10.2146	8.1547
17.48	10.2168	8.1575
17.49	10.2191	8.1602
17.5	10.2214	8.1629
17.51	10.2236	8.1655
17.52	10.2259	8.168
17.53	10.2282	8.1705
17.54	10.2305	8.1729
17.55	10.2327	8.1753
17.56	10.235	8.1777
17.57	10.2373	8.18
17.58	10.2396	8.1824
17.59	10.2418	8.1848
17.6	10.2441	8.1871
17.61	10.2464	8.1895
17.62	10.2486	8.1918
17.63	10.2509	8.1942
17.64	10.2532	8.1967
17.65	10.2554	8.1991
17.66	10.2577	8.2016
17.67	10.2599	8.2041
17.68	10.2621	8.2067
17.69	10.2644	8.2093
17.7	10.2666	8.2119
17.71	10.2688	8.2146
17.72	10.271	8.2173
17.73	10.2732	8.22
17.74	10.2754	8.2228
17.75	10.2776	8.2256
17.76	10.2798	8.2284
17.77	10.282	8.2312
17.78	10.2841	8.2341
17.79	10.2863	8.237
17.8	10.2884	8.2399
17.81	10.2905	8.2428
17.82	10.2927	8.2457
17.83	10.2948	8.2486
17.84	10.2969	8.2516
17.85	10.2989	8.2545
17.86	10.301	8.2575
17.87	10.3031	8.2605
17.88	10.3051	8.2634
17.89	10.3072	8.2664
17.9	10.3092	8.2694
17.91	10.3113	8.2724
17.92	10.3133	8.2753
17.93	10.3154	8.2783
17.94	10.3174	8.2813
17.95	10.3194	8.2842
17.96	10.3215	8.2872
17.97	10.3235	8.2901
17.98	10.3256	8.293
17.99	10.3276	8.2959
18.0	10.3297	8.2988
18.01	10.3317	8.3017
18.02	10.3338	8.3046
18.03	10.3358	8.3074
18.04	10.3379	8.3103
18.05	10.34	8.3132
18.06	10.3421	8.3161
18.07	10.3442	8.319
18.08	10.3464	8.3219
18.09	10.3485	8.3248
18.1	10.3507	8.3278
18.11	10.3528	8.3308
18.12	10.355	8.3338
18.13	10.3572	8.3369
18.14	10.3594	8.34
18.15	10.3616	8.3432
18.16	10.3639	8.3464
18.17	10.3661	8.3496
18.18	10.3684	8.3529
18.19	10.3707	8.3563
18.2	10.373	8.3597
18.21	10.3753	8.3631
18.22	10.3777	8.3666
18.23	10.38	8.3701
18.24	10.3824	8.3737
18.25	10.3848	8.3772
18.26	10.3871	8.3808
18.27	10.3896	8.3844
18.28	10.392	8.388
18.29	10.3944	8.3916
18.3	10.3969	8.3952
18.31	10.3993	8.3988
18.32	10.4018	8.4024
18.33	10.4043	8.406
18.34	10.4068	8.4096
18.35	10.4093	8.4131
18.36	10.4118	8.4166
18.37	10.4144	8.4201
18.38	10.4169	8.4236
18.39	10.4195	8.427
18.4	10.422	8.4304
18.41	10.4246	8.4338
18.42	10.4272	8.4371
18.43	10.4298	8.4404
18.44	10.4324	8.4436
18.45	10.4351	8.4467
18.46	10.4377	8.4498
18.47	10.4404	8.4528
18.48	10.443	8.4557
18.49	10.4457	8.4586
18.5	10.4484	8.4613
18.51	10.4511	8.464
18.52	10.4538	8.4665
18.53	10.4565	8.4689
18.54	10.4593	8.4713
18.55	10.462	8.4735
18.56	10.4647	8.4756
18.57	10.4675	8.4777
18.58	10.4703	8.4797
18.59	10.4731	8.4817
18.6	10.4759	8.4836
18.61	10.4787	8.4855
18.62	10.4815	8.4874
18.63	10.4843	8.4893
18.64	10.4872	8.4912
18.65	10.49	8.4931
18.66	10.4929	8.4951
18.67	10.4957	8.4972
18.68	10.4986	8.4994
18.69	10.5015	8.5016
18.7	10.5044	8.504
18.71	10.5073	8.5065
18.72	10.5102	8.5091
18.73	10.5131	8.5119
18.74	10.5161	8.5149
18.75	10.519	8.518
18.76	10.522	8.5212
18.77	10.5249	8.5247
18.78	10.5279	8.5282
18.79	10.5308	8.5319
18.8	10.5338	8.5357
18.81	10.5368	8.5395
18.82	10.5398	8.5435
18.83	10.5427	8.5475
18.84	10.5457	8.5515
18.85	10.5487	8.5556
18.86	10.5517	8.5598
18.87	10.5547	8.5639
18.88	10.5577	8.568
18.89	10.5607	8.5722
18.9	10.5638	8.5763
18.91	10.5668	8.5804
18.92	10.5698	8.5845
18.93	10.5728	8.5885
18.94	10.5758	8.5925
18.95	10.5788	8.5964
18.96	10.5819	8.6003
18.97	10.5849	8.604
18.98	10.5879	8.6077
18.99	10.5909	8.6112
19.0	10.594	8.6147
19.01	10.597	8.618
19.02	10.6	8.6211
19.03	10.603	8.6241
19.04	10.6061	8.6269
19.05	10.6091	8.6295
19.06	10.6121	8.632
19.07	10.6151	8.6344
19.08	10.6181	8.6366
19.09	10.6212	8.6387
19.1	10.6242	8.6407
19.11	10.6272	8.6426
19.12	10.6302	8.6445
19.13	10.6332	8.6462
19.14	10.6362	8.648
19.15	10.6392	8.6496
19.16	10.6422	8.6513
19.17	10.6452	8.6529
19.18	10.6481	8.6546
19.19	10.6511	8.6563
19.2	10.6541	8.658
19.21	10.6571	8.6597
19.22	10.6601	8.6615
19.23	10.663	8.6634
19.24	10.666	8.6654
19.25	10.669	8.6675
19.26	10.6719	8.6696
19.27	10.6749	8.6719
19.28	10.6779	8.6743
19.29	10.6808	8.6768
19.3	10.6838	8.6794
19.31	10.6867	8.6822
19.32	10.6897	8.685
19.33	10.6926	8.6879
19.34	10.6956	8.6909
19.35	10.6985	8.6939
19.36	10.7015	8.697
19.37	10.7045	8.7002
19.38	10.7074	8.7033
19.39	10.7104	8.7066
19.4	10.7133	8.7098
19.41	10.7163	8.713
19.42	10.7192	8.7163
19.43	10.7222	8.7195
19.44	10.7251	8.7227
19.45	10.7281	8.726
19.46	10.731	8.7292
19.47	10.734	8.7323
19.48	10.737	8.7354
19.49	10.7399	8.7385
19.5	10.7429	8.7416
19.51	10.7458	8.7445
19.52	10.7488	8.7474
19.53	10.7518	8.7502
19.54	10.7547	8.753
19.55	10.7577	8.7556
19.56	10.7607	8.7581
19.57	10.7637	8.7605
19.58	10.7666	8.7628
19.59	10.7696	8.765
19.6	10.7726	8.767
19.61	10.7756	8.769
19.62	10.7786	8.7709
19.63	10.7815	8.7727
19.64	10.7845	8.7744
19.65	10.7875	8.7761
19.66	10.7905	8.7777
19.67	10.7935	8.7792
19.68	10.7965	8.7808
19.69	10.7995	8.7823
19.7	10.8025	8.7838
19.71	10.8056	8.7854
19.72	10.8086	8.7869
19.73	10.8116	8.7885
19.74	10.8146	8.7902
19.75	10.8176	8.7919
19.76	10.8206	8.7936
19.77	10.8237	8.7955
19.78	10.8267	8.7974
19.79	10.8297	8.7995
19.8	10.8328	8.8017
19.81	10.8358	8.804
19.82	10.8388	8.8065
19.83	10.8419	8.8092
19.84	10.8449	8.812
19.85	10.848	8.8149
19.86	10.851	8.8179
19.87	10.854	8.8211
19.88	10.8571	8.8243
19.89	10.8601	8.8276
19.9	10.8632	8.831
19.91	10.8662	8.8345
19.92	10.8693	8.838
19.93	10.8723	8.8415
19.94	10.8754	8.845
19.95	10.8784	8.8485
19.96	10.8815	8.852
19.97	10.8846	8.8555
19.98	10.8876	8.859
19.99	10.8907	8.8624
20.0	10.8937	8.8658
20.01	10.8968	8.8691
20.02	10.8999	8.8723
20.03	10.9029	8.8755
20.04	10.906	8.8785
20.05	10.9091	8.8814
20.06	10.9121	8.8842
20.07	10.9152	8.8869
20.08	10.9182	8.8895
20.09	10.9213	8.8919
20.1	10.9244	8.8941
20.11	10.9274	8.8963
20.12	10.9305	8.8983
20.13	10.9336	8.9003
20.14	10.9366	8.9021
20.15	10.9397	8.9039
20.16	10.9428	8.9056
20.17	10.9458	8.9072
20.18	10.9489	8.9088
20.19	10.952	8.9104
20.2	10.955	8.9119
20.21	10.9581	8.9134
20.22	10.9612	8.9149
20.23	10.9642	8.9163
20.24	10.9673	8.9178
20.25	10.9704	8.9193
20.26	10.9734	8.9208
20.27	10.9765	8.9223
20.28	10.9796	8.9239
20.29	10.9826	8.9255
20.3	10.9857	8.9271
20.31	10.9888	8.9289
20.32	10.9918	8.9307
20.33	10.9949	8.9325
20.34	10.998	8.9345
20.35	11.001	8.9366
20.36	11.0041	8.9388
20.37	11.0072	8.941
20.38	11.0102	8.9434
20.39	11.0133	8.9458
20.4	11.0163	8.9484
20.41	11.0194	8.951
20.42	11.0225	8.9536
20.43	11.0255	8.9563
20.44	11.0286	8.9591
20.45	11.0316	8.9619
20.46	11.0347	8.9648
20.47	11.0378	8.9676
20.48	11.0408	8.9705
20.49	11.0439	8.9734

Showing 2,000 of 2451 rows. Download the CSV for all of them.

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: —

VO2 (Vanadium dioxide): all datasets

About VO2 (Vanadium dioxide)

Vanadium dioxide (VO₂) is a unique compound with a characteristic metal-insulator transition. At temperatures below 67°C, VO₂ acts as an insulator but rapidly becomes a conductor when heated above this threshold. This swift phase transition is accompanied by a structural change from a monoclinic to a tetragonal lattice. Because of this distinctive property, VO₂ has garnered significant attention for potential applications in electronics, particularly as a switch or in thermochromic devices. For example, its use in smart windows allows for the regulation of infrared radiation, enabling energy savings by blocking heat during summer or retaining it during winter. Furthermore, researchers have been exploring its potential in high-frequency electronics and optoelectronic devices.

More about VO2 (Vanadium dioxide) →

Provenance

Version: 1 (snapshot c5c2f18)
Source page: refractiveindex.info
Original file: database/data/main/VO2/nk/Beaini-100C.yml
ID: ds_44fc5a1f20d6
API: /v1/datasets/ds_44fc5a1f20d6

Plot