Optical constants

Refractive index of BaF₂ (Barium fluoride)

Kaiser et al. 1962: n,k 10–80 µm

Data: tabulated nk
Range: 10–80 µm
Points: 1401
State: crystalline
Licence: CC0-1.0

Axis Log x Log y

Click the plot to set the calculator wavelength.

At one wavelength

Refractive index n: 0.638352
Extinction coefficient k: 0.0586

Permittivity ε₁: 0.404059
Permittivity ε₂: 0.0748149

Absorption coefficient α: 260.208 cm⁻¹
Penetration depth δ = λ/(2πk): 76861.5 nm

Abbe number V_d: —
Chromatic dispersion dn/dλ: -0.13136 µm⁻¹

Group index n_g: 4.35584
Group velocity dispersion: — fs²/mm

Dispersion parameter D: — ps/(nm·km)
Photon energy: 0.0438107 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

# BaF2 (Barium fluoride): Kaiser et al. 1962: n,k 10–80 µm
baf2 = ls.fetch_refractiveindex("main", "BaF2", "Kaiser", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(baf2.range_nm)  # (10000, 80000) nm
eps = baf2.eps([28300])  # 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_7bb197aee50f/lightsmith"
baf2 = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(baf2.source)  # citation and provenance travel with the data

Any dataset here, as the library's Tabulated material (baf2/kaiser-1962).

# ... load baf2 as above, then:
sim = ls.Simulation(
    particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=baf2)],
    medium_index=1.0,
    wavelengths=ls.WavelengthRange(start_nm=10000, stop_nm=80000, 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

Single crystal; Room temperature; Lorentz oscillator model parameters provided.

References

W. Kaiser, W. G. Spitzer, R. H. Kaiser, L. E. Howarth. Infrared properties of CaF₂, SrF₂, and BaF₂. Phys. Rev. 127, 1950 (1962)
[Calculation script (Python)]

doi:10.1103/physrev.127.1950 Infrared Properties of Ca<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">F</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>, Sr<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">F</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>, and Ba<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">F</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>, Physical Review (1962)

Cite

W. Kaiser, W. G. Spitzer, R. H. Kaiser and L. E. Howarth. Infrared Properties of Ca<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">F</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>, Sr<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">F</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>, and Ba<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">F</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>. Physical Review, 127, 1950-1954 (1962), doi:10.1103/physrev.127.1950; [Calculation script (Python)]; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

1401 rows as published

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

BaF2 (Barium fluoride), Kaiser et al. 1962: n,k 10–80 µm: n and k versus wavelength
λ (µm)	n	k
10.0	1.41297	0.0003985
10.05	1.41237	0.0004052
10.1	1.41177	0.0004119
10.15	1.41116	0.0004187
10.2	1.41055	0.0004256
10.25	1.40993	0.0004325
10.3	1.40931	0.0004396
10.35	1.40869	0.0004467
10.4	1.40806	0.000454
10.45	1.40743	0.0004613
10.5	1.40679	0.0004687
10.55	1.40615	0.0004762
10.6	1.40551	0.0004838
10.65	1.40486	0.0004915
10.7	1.40421	0.0004993
10.75	1.40356	0.0005072
10.8	1.4029	0.0005152
10.85	1.40224	0.0005232
10.9	1.40157	0.0005314
10.95	1.4009	0.0005397
11.0	1.40023	0.000548
11.05	1.39955	0.0005565
11.1	1.39887	0.0005651
11.15	1.39818	0.0005737
11.2	1.39749	0.0005825
11.25	1.3968	0.0005914
11.3	1.3961	0.0006004
11.35	1.3954	0.0006095
11.4	1.39469	0.0006187
11.45	1.39398	0.000628
11.5	1.39327	0.0006374
11.55	1.39255	0.000647
11.6	1.39183	0.0006566
11.65	1.3911	0.0006664
11.7	1.39037	0.0006762
11.75	1.38964	0.0006862
11.8	1.3889	0.0006963
11.85	1.38815	0.0007065
11.9	1.38741	0.0007169
11.95	1.38666	0.0007274
12.0	1.3859	0.0007379
12.05	1.38514	0.0007486
12.1	1.38438	0.0007595
12.15	1.38361	0.0007704
12.2	1.38283	0.0007815
12.25	1.38206	0.0007927
12.3	1.38128	0.0008041
12.35	1.38049	0.0008155
12.4	1.3797	0.0008271
12.45	1.37891	0.0008389
12.5	1.37811	0.0008507
12.55	1.3773	0.0008628
12.6	1.3765	0.0008749
12.65	1.37568	0.0008872
12.7	1.37487	0.0008996
12.75	1.37405	0.0009122
12.8	1.37322	0.0009249
12.85	1.37239	0.0009377
12.9	1.37156	0.0009507
12.95	1.37072	0.0009639
13.0	1.36987	0.0009772
13.05	1.36902	0.0009906
13.1	1.36817	0.001004
13.15	1.36731	0.001018
13.2	1.36645	0.001032
13.25	1.36558	0.001046
13.3	1.36471	0.00106
13.35	1.36384	0.001075
13.4	1.36296	0.001089
13.45	1.36207	0.001104
13.5	1.36118	0.001119
13.55	1.36028	0.001134
13.6	1.35938	0.001149
13.65	1.35848	0.001164
13.7	1.35757	0.00118
13.75	1.35665	0.001195
13.8	1.35573	0.001211
13.85	1.35481	0.001227
13.9	1.35388	0.001244
13.95	1.35294	0.00126
14.0	1.352	0.001277
14.05	1.35106	0.001294
14.1	1.35011	0.001311
14.15	1.34915	0.001328
14.2	1.34819	0.001345
14.25	1.34723	0.001363
14.3	1.34626	0.00138
14.35	1.34528	0.001398
14.4	1.3443	0.001417
14.45	1.34332	0.001435
14.5	1.34233	0.001453
14.55	1.34133	0.001472
14.6	1.34033	0.001491
14.65	1.33932	0.00151
14.7	1.33831	0.00153
14.75	1.33729	0.001549
14.8	1.33627	0.001569
14.85	1.33524	0.001589
14.9	1.33421	0.00161
14.95	1.33317	0.00163
15.0	1.33212	0.001651
15.05	1.33107	0.001672
15.1	1.33002	0.001693
15.15	1.32896	0.001714
15.2	1.32789	0.001736
15.25	1.32682	0.001758
15.3	1.32574	0.00178
15.35	1.32466	0.001803
15.4	1.32357	0.001825
15.45	1.32247	0.001848
15.5	1.32137	0.001871
15.55	1.32026	0.001895
15.6	1.31915	0.001918
15.65	1.31803	0.001942
15.7	1.31691	0.001966
15.75	1.31578	0.001991
15.8	1.31464	0.002016
15.85	1.3135	0.002041
15.9	1.31235	0.002066
15.95	1.31119	0.002092
16.0	1.31003	0.002117
16.05	1.30887	0.002143
16.1	1.30769	0.00217
16.15	1.30652	0.002197
16.2	1.30533	0.002224
16.25	1.30414	0.002251
16.3	1.30294	0.002279
16.35	1.30174	0.002307
16.4	1.30053	0.002335
16.45	1.29931	0.002363
16.5	1.29809	0.002392
16.55	1.29686	0.002422
16.6	1.29562	0.002451
16.65	1.29438	0.002481
16.7	1.29313	0.002511
16.75	1.29187	0.002542
16.8	1.29061	0.002573
16.85	1.28934	0.002604
16.9	1.28807	0.002635
16.95	1.28679	0.002667
17.0	1.2855	0.0027
17.05	1.2842	0.002732
17.1	1.2829	0.002765
17.15	1.28159	0.002799
17.2	1.28027	0.002832
17.25	1.27895	0.002867
17.3	1.27762	0.002901
17.35	1.27628	0.002936
17.4	1.27493	0.002971
17.45	1.27358	0.003007
17.5	1.27222	0.003043
17.55	1.27085	0.00308
17.6	1.26948	0.003117
17.65	1.2681	0.003154
17.7	1.26671	0.003192
17.75	1.26531	0.00323
17.8	1.26391	0.003269
17.85	1.2625	0.003308
17.9	1.26108	0.003348
17.95	1.25966	0.003388
18.0	1.25822	0.003428
18.05	1.25678	0.003469
18.1	1.25533	0.003511
18.15	1.25387	0.003553
18.2	1.25241	0.003595
18.25	1.25094	0.003638
18.3	1.24946	0.003681
18.35	1.24797	0.003725
18.4	1.24647	0.00377
18.45	1.24497	0.003815
18.5	1.24345	0.00386
18.55	1.24193	0.003906
18.6	1.2404	0.003952
18.65	1.23886	0.003999
18.7	1.23732	0.004047
18.75	1.23576	0.004095
18.8	1.2342	0.004144
18.85	1.23263	0.004193
18.9	1.23105	0.004243
18.95	1.22946	0.004294
19.0	1.22786	0.004345
19.05	1.22626	0.004396
19.1	1.22464	0.004449
19.15	1.22302	0.004502
19.2	1.22139	0.004555
19.25	1.21974	0.004609
19.3	1.21809	0.004664
19.35	1.21643	0.00472
19.4	1.21476	0.004776
19.45	1.21309	0.004833
19.5	1.2114	0.00489
19.55	1.2097	0.004948
19.6	1.20799	0.005007
19.65	1.20628	0.005067
19.7	1.20455	0.005127
19.75	1.20282	0.005188
19.8	1.20107	0.00525
19.85	1.19932	0.005313
19.9	1.19755	0.005376
19.95	1.19578	0.00544
20.0	1.19399	0.005505
20.05	1.1922	0.005571
20.1	1.19039	0.005637
20.15	1.18858	0.005705
20.2	1.18675	0.005773
20.25	1.18492	0.005842
20.3	1.18307	0.005912
20.35	1.18121	0.005982
20.4	1.17935	0.006054
20.45	1.17747	0.006126
20.5	1.17558	0.0062
20.55	1.17368	0.006274
20.6	1.17177	0.00635
20.65	1.16985	0.006426
20.7	1.16791	0.006503
20.75	1.16597	0.006581
20.8	1.16401	0.00666
20.85	1.16205	0.006741
20.9	1.16007	0.006822
20.95	1.15808	0.006904
21.0	1.15608	0.006988
21.05	1.15406	0.007072
21.1	1.15204	0.007157
21.15	1.15	0.007244
21.2	1.14795	0.007332
21.25	1.14589	0.007421
21.3	1.14382	0.007511
21.35	1.14173	0.007602
21.4	1.13963	0.007694
21.45	1.13752	0.007788
21.5	1.1354	0.007883
21.55	1.13326	0.007979
21.6	1.13111	0.008077
21.65	1.12895	0.008175
21.7	1.12677	0.008275
21.75	1.12459	0.008377
21.8	1.12238	0.00848
21.85	1.12017	0.008584
21.9	1.11794	0.008689
21.95	1.1157	0.008796
22.0	1.11344	0.008905
22.05	1.11117	0.009015
22.1	1.10888	0.009126
22.15	1.10659	0.009239
22.2	1.10427	0.009354
22.25	1.10195	0.00947
22.3	1.0996	0.009587
22.35	1.09725	0.009707
22.4	1.09487	0.009828
22.45	1.09249	0.009951
22.5	1.09009	0.01008
22.55	1.08767	0.0102
22.6	1.08524	0.01033
22.65	1.08279	0.01046
22.7	1.08032	0.01059
22.75	1.07785	0.01072
22.8	1.07535	0.01086
22.85	1.07284	0.011
22.9	1.07031	0.01114
22.95	1.06777	0.01128
23.0	1.0652	0.01142
23.05	1.06263	0.01157
23.1	1.06003	0.01172
23.15	1.05742	0.01187
23.2	1.05479	0.01202
23.25	1.05214	0.01217
23.3	1.04948	0.01233
23.35	1.0468	0.01249
23.4	1.04409	0.01265
23.45	1.04138	0.01281
23.5	1.03864	0.01298
23.55	1.03588	0.01315
23.6	1.03311	0.01332
23.65	1.03031	0.01349
23.7	1.0275	0.01367
23.75	1.02467	0.01385
23.8	1.02182	0.01403
23.85	1.01895	0.01422
23.9	1.01605	0.01441
23.95	1.01314	0.0146
24.0	1.01021	0.01479
24.05	1.00725	0.01499
24.1	1.00428	0.01519
24.15	1.00128	0.01539
24.2	0.998267	0.0156
24.25	0.995228	0.01581
24.3	0.992167	0.01602
24.35	0.989083	0.01624
24.4	0.985978	0.01646
24.45	0.982849	0.01669
24.5	0.979698	0.01692
24.55	0.976523	0.01715
24.6	0.973324	0.01738
24.65	0.970102	0.01762
24.7	0.966855	0.01787
24.75	0.963584	0.01812
24.8	0.960288	0.01837
24.85	0.956967	0.01862
24.9	0.953621	0.01889
24.95	0.950249	0.01915
25.0	0.946851	0.01942
25.05	0.943426	0.0197
25.1	0.939974	0.01998
25.15	0.936496	0.02026
25.2	0.93299	0.02055
25.25	0.929456	0.02085
25.3	0.925894	0.02115
25.35	0.922303	0.02145
25.4	0.918683	0.02177
25.45	0.915034	0.02208
25.5	0.911355	0.02241
25.55	0.907646	0.02274
25.6	0.903906	0.02307
25.65	0.900135	0.02342
25.7	0.896332	0.02376
25.75	0.892498	0.02412
25.8	0.88863	0.02448
25.85	0.88473	0.02485
25.9	0.880797	0.02523
25.95	0.876829	0.02561
26.0	0.872827	0.02601
26.05	0.86879	0.02641
26.1	0.864717	0.02681
26.15	0.860608	0.02723
26.2	0.856463	0.02765
26.25	0.85228	0.02809
26.3	0.848059	0.02853
26.35	0.843799	0.02898
26.4	0.839501	0.02944
26.45	0.835162	0.02991
26.5	0.830783	0.0304
26.55	0.826363	0.03089
26.6	0.821901	0.03139
26.65	0.817396	0.03191
26.7	0.812848	0.03243
26.75	0.808256	0.03297
26.8	0.803618	0.03352
26.85	0.798935	0.03408
26.9	0.794206	0.03465
26.95	0.789428	0.03524
27.0	0.784603	0.03585
27.05	0.779728	0.03646
27.1	0.774802	0.03709
27.15	0.769826	0.03774
27.2	0.764797	0.0384
27.25	0.759714	0.03908
27.3	0.754578	0.03978
27.35	0.749385	0.0405
27.4	0.744136	0.04123
27.45	0.738829	0.04198
27.5	0.733463	0.04275
27.55	0.728037	0.04355
27.6	0.722548	0.04436
27.65	0.716997	0.0452
27.7	0.711381	0.04606
27.75	0.705699	0.04694
27.8	0.699949	0.04785
27.85	0.69413	0.04878
27.9	0.68824	0.04975
27.95	0.682278	0.05074
28.0	0.676241	0.05176
28.05	0.670129	0.05281
28.1	0.663938	0.0539
28.15	0.657667	0.05502
28.2	0.651314	0.05617
28.25	0.644876	0.05737
28.3	0.638352	0.0586
28.35	0.63174	0.05988
28.4	0.625035	0.0612
28.45	0.618237	0.06256
28.5	0.611343	0.06398
28.55	0.604349	0.06545
28.6	0.597253	0.06697
28.65	0.590052	0.06855
28.7	0.582742	0.07019
28.75	0.575322	0.0719
28.8	0.567786	0.07367
28.85	0.560133	0.07552
28.9	0.552358	0.07745
28.95	0.544457	0.07946
29.0	0.536427	0.08157
29.05	0.528264	0.08376
29.1	0.519965	0.08607
29.15	0.511524	0.08848
29.2	0.502938	0.09101
29.25	0.494203	0.09367
29.3	0.485315	0.09647
29.35	0.47627	0.09942
29.4	0.467064	0.1025
29.45	0.457695	0.1058
29.5	0.44816	0.1093
29.55	0.438456	0.113
29.6	0.428584	0.1169
29.65	0.418543	0.1211
29.7	0.408336	0.1255
29.75	0.397967	0.1303
29.8	0.387444	0.1353
29.85	0.376778	0.1408
29.9	0.365984	0.1466
29.95	0.355085	0.1528
30.0	0.344107	0.1595
30.05	0.333086	0.1666
30.1	0.322066	0.1743
30.15	0.311098	0.1825
30.2	0.300244	0.1913
30.25	0.289569	0.2006
30.3	0.279144	0.2105
30.35	0.269042	0.2209
30.4	0.259331	0.2318
30.45	0.250069	0.2431
30.5	0.241304	0.2548
30.55	0.233069	0.2668
30.6	0.225383	0.2791
30.65	0.218246	0.2915
30.7	0.21165	0.304
30.75	0.205575	0.3165
30.8	0.199993	0.3291
30.85	0.194873	0.3416
30.9	0.190182	0.354
30.95	0.185885	0.3663
31.0	0.18195	0.3784
31.05	0.178345	0.3905
31.1	0.175041	0.4023
31.15	0.17201	0.4141
31.2	0.169227	0.4256
31.25	0.166671	0.437
31.3	0.164321	0.4483
31.35	0.162158	0.4593
31.4	0.160166	0.4703
31.45	0.158331	0.481
31.5	0.156638	0.4917
31.55	0.155077	0.5022
31.6	0.153636	0.5125
31.65	0.152306	0.5227
31.7	0.151078	0.5328
31.75	0.149944	0.5428
31.8	0.148897	0.5526
31.85	0.147931	0.5623
31.9	0.147039	0.5719
31.95	0.146217	0.5814
32.0	0.145459	0.5908
32.05	0.144761	0.6001
32.1	0.144119	0.6093
32.15	0.143528	0.6184
32.2	0.142987	0.6274
32.25	0.142491	0.6363
32.3	0.142037	0.6451
32.35	0.141623	0.6538
32.4	0.141246	0.6625
32.45	0.140904	0.6711
32.5	0.140594	0.6796
32.55	0.140315	0.688
32.6	0.140064	0.6964
32.65	0.13984	0.7046
32.7	0.139641	0.7129
32.75	0.139465	0.721
32.8	0.139311	0.7291
32.85	0.139177	0.7371
32.9	0.139062	0.7451
32.95	0.138965	0.753
33.0	0.138884	0.7609
33.05	0.138818	0.7687
33.1	0.138767	0.7764
33.15	0.138728	0.7841
33.2	0.138701	0.7917
33.25	0.138685	0.7993
33.3	0.138679	0.8069
33.35	0.138681	0.8143
33.4	0.138692	0.8218
33.45	0.13871	0.8292
33.5	0.138734	0.8366
33.55	0.138763	0.8439
33.6	0.138797	0.8512
33.65	0.138835	0.8584
33.7	0.138877	0.8656
33.75	0.13892	0.8727
33.8	0.138965	0.8799
33.85	0.139012	0.887
33.9	0.139058	0.894
33.95	0.139104	0.901
34.0	0.13915	0.908
34.05	0.139193	0.915
34.1	0.139235	0.9219
34.15	0.139274	0.9288
34.2	0.139309	0.9357
34.25	0.139341	0.9425
34.3	0.139368	0.9493
34.35	0.13939	0.9561
34.4	0.139407	0.9629
34.45	0.139417	0.9696
34.5	0.139422	0.9763
34.55	0.13942	0.983
34.6	0.13941	0.9897
34.65	0.139393	0.9964
34.7	0.139367	1.003
34.75	0.139334	1.01
34.8	0.139291	1.016
34.85	0.139239	1.023
34.9	0.139178	1.029
34.95	0.139107	1.036
35.0	0.139027	1.042
35.05	0.138935	1.049
35.1	0.138834	1.056
35.15	0.138721	1.062
35.2	0.138598	1.069
35.25	0.138463	1.075
35.3	0.138318	1.081
35.35	0.13816	1.088
35.4	0.137992	1.094
35.45	0.137811	1.101
35.5	0.137619	1.107
35.55	0.137415	1.114
35.6	0.1372	1.12
35.65	0.136972	1.127
35.7	0.136733	1.133
35.75	0.136482	1.14
35.8	0.136219	1.146
35.85	0.135944	1.152
35.9	0.135658	1.159
35.95	0.13536	1.165
36.0	0.135051	1.172
36.05	0.134731	1.178
36.1	0.134399	1.185
36.15	0.134057	1.191
36.2	0.133704	1.198
36.25	0.13334	1.204
36.3	0.132966	1.211
36.35	0.132582	1.217
36.4	0.132188	1.224
36.45	0.131785	1.23
36.5	0.131372	1.237
36.55	0.13095	1.243
36.6	0.13052	1.25
36.65	0.130081	1.256
36.7	0.129634	1.263
36.75	0.129179	1.27
36.8	0.128716	1.276
36.85	0.128247	1.283
36.9	0.127771	1.29
36.95	0.127288	1.296
37.0	0.126799	1.303
37.05	0.126304	1.31
37.1	0.125804	1.316
37.15	0.125299	1.323
37.2	0.12479	1.33
37.25	0.124276	1.337
37.3	0.123758	1.343
37.35	0.123237	1.35
37.4	0.122712	1.357
37.45	0.122185	1.364
37.5	0.121655	1.371
37.55	0.121123	1.378
37.6	0.12059	1.384
37.65	0.120055	1.391
37.7	0.119519	1.398
37.75	0.118982	1.405
37.8	0.118445	1.412
37.85	0.117908	1.419
37.9	0.117371	1.426
37.95	0.116835	1.433
38.0	0.1163	1.44
38.05	0.115766	1.448
38.1	0.115234	1.455
38.15	0.114703	1.462
38.2	0.114175	1.469
38.25	0.113649	1.476
38.3	0.113126	1.483
38.35	0.112606	1.491
38.4	0.112089	1.498
38.45	0.111576	1.505
38.5	0.111066	1.513
38.55	0.110561	1.52
38.6	0.110059	1.527
38.65	0.109562	1.535
38.7	0.10907	1.542
38.75	0.108583	1.55
38.8	0.1081	1.557
38.85	0.107623	1.564
38.9	0.107152	1.572
38.95	0.106686	1.58
39.0	0.106226	1.587
39.05	0.105772	1.595
39.1	0.105323	1.602
39.15	0.104882	1.61
39.2	0.104446	1.618
39.25	0.104017	1.625
39.3	0.103595	1.633
39.35	0.10318	1.641
39.4	0.102771	1.648
39.45	0.10237	1.656
39.5	0.101975	1.664
39.55	0.101588	1.672
39.6	0.101208	1.68
39.65	0.100836	1.688
39.7	0.100471	1.696
39.75	0.100114	1.704
39.8	0.0997638	1.712
39.85	0.0994218	1.72
39.9	0.0990875	1.728
39.95	0.0987611	1.736
40.0	0.0984425	1.744
40.05	0.0981319	1.752
40.1	0.0978293	1.76
40.15	0.0975347	1.768
40.2	0.0972482	1.776
40.25	0.0969698	1.785
40.3	0.0966996	1.793
40.35	0.0964375	1.801
40.4	0.0961837	1.809
40.45	0.0959381	1.818
40.5	0.0957008	1.826
40.55	0.0954717	1.835
40.6	0.095251	1.843
40.65	0.0950386	1.851
40.7	0.0948345	1.86
40.75	0.0946389	1.868
40.8	0.0944516	1.877
40.85	0.0942726	1.885
40.9	0.0941021	1.894
40.95	0.09394	1.903
41.0	0.0937864	1.911
41.05	0.0936411	1.92
41.1	0.0935043	1.929
41.15	0.0933759	1.938
41.2	0.093256	1.946
41.25	0.0931446	1.955
41.3	0.0930416	1.964
41.35	0.0929471	1.973
41.4	0.092861	1.982
41.45	0.0927835	1.991
41.5	0.0927144	2.0
41.55	0.0926538	2.009
41.6	0.0926017	2.018
41.65	0.0925581	2.027
41.7	0.092523	2.036
41.75	0.0924964	2.045
41.8	0.0924784	2.054
41.85	0.0924688	2.064
41.9	0.0924678	2.073
41.95	0.0924754	2.082
42.0	0.0924915	2.092
42.05	0.0925162	2.101
42.1	0.0925494	2.11
42.15	0.0925912	2.12
42.2	0.0926416	2.129
42.25	0.0927007	2.139
42.3	0.0927684	2.149
42.35	0.0928447	2.158
42.4	0.0929297	2.168
42.45	0.0930233	2.177
42.5	0.0931257	2.187
42.55	0.0932368	2.197
42.6	0.0933567	2.207
42.65	0.0934853	2.217
42.7	0.0936228	2.227
42.75	0.093769	2.237
42.8	0.0939242	2.247
42.85	0.0940882	2.257
42.9	0.0942612	2.267
42.95	0.0944431	2.277
43.0	0.0946341	2.287
43.05	0.094834	2.297
43.1	0.0950431	2.307
43.15	0.0952613	2.318
43.2	0.0954887	2.328
43.25	0.0957253	2.339
43.3	0.0959712	2.349
43.35	0.0962264	2.36
43.4	0.0964909	2.37
43.45	0.096765	2.381
43.5	0.0970485	2.391
43.55	0.0973416	2.402
43.6	0.0976443	2.413
43.65	0.0979567	2.424
43.7	0.0982789	2.435
43.75	0.0986109	2.446
43.8	0.0989528	2.457
43.85	0.0993047	2.468
43.9	0.0996668	2.479
43.95	0.100039	2.49
44.0	0.100421	2.501
44.05	0.100814	2.512
44.1	0.101217	2.524
44.15	0.101631	2.535
44.2	0.102055	2.547
44.25	0.102491	2.558
44.3	0.102936	2.57
44.35	0.103393	2.581
44.4	0.103861	2.593
44.45	0.104341	2.605
44.5	0.104831	2.617
44.55	0.105333	2.629
44.6	0.105847	2.641
44.65	0.106372	2.653
44.7	0.106909	2.665
44.75	0.107458	2.677
44.8	0.108019	2.689
44.85	0.108593	2.702
44.9	0.109179	2.714
44.95	0.109777	2.727
45.0	0.110389	2.739
45.05	0.111013	2.752
45.1	0.111651	2.764
45.15	0.112302	2.777
45.2	0.112966	2.79
45.25	0.113644	2.803
45.3	0.114336	2.816
45.35	0.115042	2.829
45.4	0.115763	2.843
45.45	0.116498	2.856
45.5	0.117248	2.869
45.55	0.118013	2.883
45.6	0.118793	2.896
45.65	0.119589	2.91
45.7	0.1204	2.924
45.75	0.121227	2.938
45.8	0.122071	2.952
45.85	0.122932	2.966
45.9	0.123809	2.98
45.95	0.124703	2.994
46.0	0.125615	3.008
46.05	0.126545	3.023
46.1	0.127492	3.037
46.15	0.128458	3.052
46.2	0.129443	3.067
46.25	0.130447	3.082
46.3	0.131471	3.097
46.35	0.132514	3.112
46.4	0.133578	3.127
46.45	0.134663	3.142
46.5	0.135768	3.158
46.55	0.136895	3.173
46.6	0.138044	3.189
46.65	0.139215	3.205
46.7	0.140409	3.221
46.75	0.141627	3.237
46.8	0.142868	3.253
46.85	0.144134	3.27
46.9	0.145424	3.286
46.95	0.14674	3.303
47.0	0.148082	3.319
47.05	0.14945	3.336
47.1	0.150846	3.353
47.15	0.152269	3.371
47.2	0.153721	3.388
47.25	0.155201	3.405
47.3	0.156712	3.423
47.35	0.158252	3.441
47.4	0.159824	3.459
47.45	0.161428	3.477
47.5	0.163065	3.495
47.55	0.164735	3.514
47.6	0.166439	3.532
47.65	0.168178	3.551
47.7	0.169953	3.57
47.75	0.171766	3.589
47.8	0.173616	3.609
47.85	0.175505	3.628
47.9	0.177434	3.648
47.95	0.179404	3.668
48.0	0.181415	3.688
48.05	0.18347	3.709
48.1	0.18557	3.729
48.15	0.187714	3.75
48.2	0.189906	3.771
48.25	0.192146	3.792
48.3	0.194434	3.813
48.35	0.196774	3.835
48.4	0.199166	3.857
48.45	0.201612	3.879
48.5	0.204113	3.902
48.55	0.206671	3.924
48.6	0.209288	3.947
48.65	0.211965	3.97
48.7	0.214705	3.994
48.75	0.217508	4.017
48.8	0.220378	4.041
48.85	0.223316	4.066
48.9	0.226324	4.09
48.95	0.229404	4.115
49.0	0.23256	4.14
49.05	0.235793	4.165
49.1	0.239105	4.191
49.15	0.2425	4.217
49.2	0.24598	4.244
49.25	0.249549	4.27
49.3	0.253208	4.298
49.35	0.256961	4.325
49.4	0.260812	4.353
49.45	0.264764	4.381
49.5	0.26882	4.41
49.55	0.272984	4.439
49.6	0.277261	4.468
49.65	0.281653	4.498
49.7	0.286166	4.528
49.75	0.290804	4.559
49.8	0.295571	4.59
49.85	0.300473	4.621
49.9	0.305515	4.653
49.95	0.310702	4.686
50.0	0.31604	4.719
50.05	0.321535	4.752
50.1	0.327193	4.786
50.15	0.333022	4.821
50.2	0.339027	4.856
50.25	0.345216	4.891
50.3	0.351598	4.928
50.35	0.35818	4.964
50.4	0.364972	5.002
50.45	0.371981	5.04
50.5	0.379219	5.079
50.55	0.386694	5.118
50.6	0.394419	5.158
50.65	0.402404	5.199
50.7	0.410661	5.241
50.75	0.419205	5.283
50.8	0.428047	5.326
50.85	0.437203	5.37
50.9	0.446689	5.415
50.95	0.45652	5.46
51.0	0.466714	5.507
51.05	0.47729	5.554
51.1	0.488267	5.603
51.15	0.499668	5.652
51.2	0.511514	5.703
51.25	0.52383	5.754
51.3	0.536641	5.807
51.35	0.549976	5.86
51.4	0.563864	5.915
51.45	0.578337	5.972
51.5	0.59343	6.029
51.55	0.60918	6.088
51.6	0.625626	6.148
51.65	0.642811	6.21
51.7	0.660782	6.273
51.75	0.679588	6.337
51.8	0.699285	6.403
51.85	0.71993	6.471
51.9	0.741587	6.541
51.95	0.764326	6.613
52.0	0.788221	6.686
52.05	0.813355	6.761
52.1	0.839817	6.839
52.15	0.867705	6.919
52.2	0.897126	7.001
52.25	0.928197	7.085
52.3	0.961047	7.172
52.35	0.995816	7.261
52.4	1.03266	7.353
52.45	1.07176	7.448
52.5	1.11329	7.546
52.55	1.15747	7.647
52.6	1.20453	7.751
52.65	1.25474	7.859
52.7	1.30838	7.971
52.75	1.36577	8.086
52.8	1.42727	8.205
52.85	1.4933	8.328
52.9	1.5643	8.455
52.95	1.64079	8.587
53.0	1.72333	8.724
53.05	1.81259	8.865
53.1	1.90929	9.012
53.15	2.01426	9.163
53.2	2.12845	9.32
53.25	2.25292	9.482
53.3	2.38889	9.65
53.35	2.53774	9.822
53.4	2.70101	10.0
53.45	2.88047	10.18
53.5	3.07811	10.37
53.55	3.29614	10.56
53.6	3.53702	10.75
53.65	3.80345	10.94
53.7	4.09831	11.13
53.75	4.42463	11.31
53.8	4.7854	11.49
53.85	5.1834	11.65
53.9	5.62083	11.79
53.95	6.09888	11.9
54.0	6.61705	11.96
54.05	7.17244	11.98
54.1	7.75894	11.94
54.15	8.36659	11.83
54.2	8.98133	11.63
54.25	9.58549	11.35
54.3	10.1592	10.98
54.35	10.6826	10.53
54.4	11.1386	10.02
54.45	11.5149	9.456
54.5	11.8055	8.865
54.55	12.0107	8.264
54.6	12.1362	7.671
54.65	12.1909	7.099
54.7	12.1857	6.558
54.75	12.1318	6.054
54.8	12.0398	5.588
54.85	11.9189	5.162
54.9	11.777	4.774
54.95	11.6206	4.422
55.0	11.4548	4.104
55.05	11.2834	3.815
55.1	11.1097	3.555
55.15	10.9358	3.319
55.2	10.7635	3.105
55.25	10.5939	2.911
55.3	10.428	2.735
55.35	10.2662	2.574
55.4	10.1091	2.427
55.45	9.9567	2.293
55.5	9.80925	2.17
55.55	9.66671	2.057
55.6	9.52904	1.953
55.65	9.39615	1.857
55.7	9.26792	1.769
55.75	9.1442	1.687
55.8	9.02484	1.611
55.85	8.90967	1.54
55.9	8.79853	1.474
55.95	8.69125	1.413
56.0	8.58766	1.356
56.05	8.4876	1.302
56.1	8.39091	1.252
56.15	8.29745	1.205
56.2	8.20706	1.161
56.25	8.11961	1.119
56.3	8.03497	1.08
56.35	7.95301	1.043
56.4	7.87361	1.008
56.45	7.79664	0.9748
56.5	7.72202	0.9435
56.55	7.64963	0.9139
56.6	7.57937	0.8858
56.65	7.51115	0.859
56.7	7.44489	0.8337
56.75	7.3805	0.8095
56.8	7.31791	0.7865
56.85	7.25703	0.7646
56.9	7.1978	0.7436
56.95	7.14015	0.7236
57.0	7.08402	0.7046
57.05	7.02934	0.6863
57.1	6.97607	0.6688
57.15	6.92414	0.6521
57.2	6.8735	0.6361
57.25	6.82411	0.6207
57.3	6.77591	0.6059
57.35	6.72887	0.5917
57.4	6.68294	0.5781
57.45	6.63808	0.565
57.5	6.59426	0.5524
57.55	6.55143	0.5403
57.6	6.50956	0.5286
57.65	6.46862	0.5173
57.7	6.42857	0.5065
57.75	6.38939	0.496
57.8	6.35105	0.4859
57.85	6.31352	0.4761
57.9	6.27677	0.4667
57.95	6.24077	0.4576
58.0	6.20552	0.4487
58.05	6.17097	0.4402
58.1	6.13711	0.432
58.15	6.10392	0.424
58.2	6.07137	0.4162
58.25	6.03945	0.4087
58.3	6.00814	0.4015
58.35	5.97742	0.3944
58.4	5.94727	0.3876
58.45	5.91768	0.3809
58.5	5.88863	0.3745
58.55	5.86011	0.3682
58.6	5.83209	0.3621
58.65	5.80458	0.3562
58.7	5.77754	0.3505
58.75	5.75097	0.3449
58.8	5.72486	0.3395
58.85	5.6992	0.3342
58.9	5.67396	0.329
58.95	5.64915	0.324
59.0	5.62475	0.3191
59.05	5.60075	0.3144
59.1	5.57713	0.3097
59.15	5.5539	0.3052
59.2	5.53104	0.3008
59.25	5.50854	0.2965
59.3	5.48639	0.2924
59.35	5.46458	0.2883
59.4	5.44311	0.2843
59.45	5.42197	0.2804
59.5	5.40114	0.2766
59.55	5.38063	0.2729
59.6	5.36042	0.2693
59.65	5.34051	0.2657
59.7	5.3209	0.2623
59.75	5.30156	0.2589
59.8	5.2825	0.2556
59.85	5.26372	0.2523
59.9	5.2452	0.2492
59.95	5.22694	0.2461
60.0	5.20893	0.2431
60.05	5.19117	0.2401
60.1	5.17366	0.2372
60.15	5.15638	0.2344
60.2	5.13933	0.2316
60.25	5.12252	0.2289
60.3	5.10593	0.2262
60.35	5.08955	0.2236
60.4	5.07339	0.221
60.45	5.05744	0.2185
60.5	5.0417	0.2161
60.55	5.02615	0.2137
60.6	5.01081	0.2113
60.65	4.99565	0.209
60.7	4.98069	0.2067
60.75	4.96591	0.2045
60.8	4.95132	0.2023
60.85	4.93691	0.2002
60.9	4.92267	0.1981
60.95	4.9086	0.196
61.0	4.8947	0.194
61.05	4.88097	0.192
61.1	4.8674	0.19
61.15	4.85399	0.1881
61.2	4.84073	0.1862
61.25	4.82763	0.1844
61.3	4.81469	0.1825
61.35	4.80189	0.1808
61.4	4.78923	0.179
61.45	4.77672	0.1773
61.5	4.76435	0.1756
61.55	4.75212	0.1739
61.6	4.74002	0.1723
61.65	4.72806	0.1707
61.7	4.71623	0.1691
61.75	4.70453	0.1675
61.8	4.69295	0.166
61.85	4.6815	0.1645
61.9	4.67017	0.163
61.95	4.65897	0.1615
62.0	4.64788	0.1601
62.05	4.63691	0.1587
62.1	4.62605	0.1573
62.15	4.6153	0.1559
62.2	4.60467	0.1546
62.25	4.59415	0.1532
62.3	4.58373	0.1519
62.35	4.57342	0.1506
62.4	4.56321	0.1494
62.45	4.55311	0.1481
62.5	4.54311	0.1469
62.55	4.5332	0.1457
62.6	4.5234	0.1445
62.65	4.51369	0.1433
62.7	4.50407	0.1422
62.75	4.49455	0.141
62.8	4.48512	0.1399
62.85	4.47579	0.1388
62.9	4.46654	0.1377
62.95	4.45738	0.1366
63.0	4.4483	0.1355
63.05	4.43931	0.1345
63.1	4.43041	0.1335
63.15	4.42159	0.1324
63.2	4.41285	0.1314
63.25	4.40419	0.1304
63.3	4.39561	0.1295
63.35	4.38711	0.1285
63.4	4.37868	0.1275
63.45	4.37034	0.1266
63.5	4.36206	0.1257
63.55	4.35386	0.1248
63.6	4.34574	0.1239
63.65	4.33769	0.123
63.7	4.3297	0.1221
63.75	4.32179	0.1212
63.8	4.31395	0.1204
63.85	4.30617	0.1195
63.9	4.29847	0.1187
63.95	4.29082	0.1179
64.0	4.28325	0.1171
64.05	4.27574	0.1163
64.1	4.26829	0.1155
64.15	4.26091	0.1147
64.2	4.25358	0.1139
64.25	4.24632	0.1131
64.3	4.23912	0.1124
64.35	4.23198	0.1116
64.4	4.2249	0.1109
64.45	4.21788	0.1102
64.5	4.21091	0.1095
64.55	4.204	0.1087
64.6	4.19715	0.108
64.65	4.19035	0.1074
64.7	4.18361	0.1067
64.75	4.17692	0.106
64.8	4.17029	0.1053
64.85	4.1637	0.1047
64.9	4.15717	0.104
64.95	4.15069	0.1034
65.0	4.14427	0.1027
65.05	4.13789	0.1021
65.1	4.13156	0.1015
65.15	4.12528	0.1008
65.2	4.11905	0.1002
65.25	4.11287	0.09963
65.3	4.10673	0.09903
65.35	4.10064	0.09844
65.4	4.0946	0.09786
65.45	4.0886	0.09728
65.5	4.08265	0.09671
65.55	4.07674	0.09614
65.6	4.07088	0.09558
65.65	4.06506	0.09503
65.7	4.05928	0.09448
65.75	4.05355	0.09394
65.8	4.04786	0.09341
65.85	4.04221	0.09288
65.9	4.0366	0.09235
65.95	4.03103	0.09183
66.0	4.0255	0.09132
66.05	4.02001	0.09081
66.1	4.01456	0.09031
66.15	4.00915	0.08981
66.2	4.00378	0.08932
66.25	3.99845	0.08883
66.3	3.99315	0.08835
66.35	3.98789	0.08787
66.4	3.98267	0.08739
66.45	3.97749	0.08693
66.5	3.97234	0.08646
66.55	3.96723	0.086
66.6	3.96215	0.08555
66.65	3.9571	0.0851
66.7	3.9521	0.08465
66.75	3.94712	0.08421
66.8	3.94218	0.08378
66.85	3.93728	0.08334
66.9	3.9324	0.08291
66.95	3.92756	0.08249
67.0	3.92275	0.08207
67.05	3.91798	0.08165
67.1	3.91323	0.08124
67.15	3.90852	0.08083
67.2	3.90384	0.08043
67.25	3.89919	0.08003
67.3	3.89457	0.07963
67.35	3.88998	0.07923
67.4	3.88542	0.07885
67.45	3.88089	0.07846
67.5	3.87639	0.07808
67.55	3.87192	0.0777
67.6	3.86748	0.07732
67.65	3.86306	0.07695
67.7	3.85868	0.07658
67.75	3.85432	0.07621
67.8	3.84999	0.07585
67.85	3.84569	0.07549
67.9	3.84141	0.07514
67.95	3.83716	0.07478
68.0	3.83294	0.07443
68.05	3.82874	0.07409
68.1	3.82458	0.07374
68.15	3.82043	0.0734
68.2	3.81631	0.07307
68.25	3.81222	0.07273
68.3	3.80815	0.0724
68.35	3.80411	0.07207
68.4	3.80009	0.07175
68.45	3.7961	0.07142
68.5	3.79213	0.0711
68.55	3.78819	0.07078
68.6	3.78427	0.07047
68.65	3.78037	0.07016
68.7	3.77649	0.06985
68.75	3.77264	0.06954
68.8	3.76881	0.06924
68.85	3.76501	0.06893
68.9	3.76123	0.06863
68.95	3.75747	0.06834
69.0	3.75373	0.06804
69.05	3.75001	0.06775
69.1	3.74632	0.06746
69.15	3.74264	0.06717
69.2	3.73899	0.06689
69.25	3.73536	0.0666
69.3	3.73175	0.06632
69.35	3.72816	0.06604
69.4	3.72459	0.06577
69.45	3.72105	0.06549
69.5	3.71752	0.06522
69.55	3.71401	0.06495
69.6	3.71052	0.06469
69.65	3.70706	0.06442
69.7	3.70361	0.06416
69.75	3.70018	0.0639
69.8	3.69677	0.06364
69.85	3.69338	0.06338
69.9	3.69001	0.06312
69.95	3.68666	0.06287
70.0	3.68332	0.06262
70.05	3.68001	0.06237
70.1	3.67671	0.06212
70.15	3.67343	0.06188
70.2	3.67017	0.06163
70.25	3.66693	0.06139
70.3	3.6637	0.06115
70.35	3.66049	0.06091
70.4	3.6573	0.06068
70.45	3.65413	0.06044
70.5	3.65097	0.06021
70.55	3.64783	0.05998
70.6	3.64471	0.05975
70.65	3.6416	0.05952
70.7	3.63851	0.05929
70.75	3.63544	0.05907
70.8	3.63238	0.05885
70.85	3.62934	0.05863
70.9	3.62632	0.05841
70.95	3.62331	0.05819
71.0	3.62032	0.05797
71.05	3.61734	0.05776
71.1	3.61438	0.05754
71.15	3.61144	0.05733
71.2	3.6085	0.05712
71.25	3.60559	0.05691
71.3	3.60269	0.0567
71.35	3.5998	0.0565
71.4	3.59693	0.05629
71.45	3.59408	0.05609
71.5	3.59124	0.05589
71.55	3.58841	0.05569
71.6	3.5856	0.05549
71.65	3.5828	0.05529
71.7	3.58002	0.0551
71.75	3.57725	0.0549
71.8	3.57449	0.05471
71.85	3.57175	0.05452
71.9	3.56902	0.05432
71.95	3.5663	0.05413
72.0	3.5636	0.05395
72.05	3.56092	0.05376
72.1	3.55824	0.05357
72.15	3.55558	0.05339
72.2	3.55293	0.05321
72.25	3.5503	0.05302
72.3	3.54767	0.05284
72.35	3.54507	0.05266
72.4	3.54247	0.05248
72.45	3.53989	0.05231
72.5	3.53731	0.05213
72.55	3.53476	0.05196
72.6	3.53221	0.05178
72.65	3.52967	0.05161
72.7	3.52715	0.05144
72.75	3.52464	0.05127
72.8	3.52215	0.0511
72.85	3.51966	0.05093
72.9	3.51719	0.05076
72.95	3.51472	0.0506
73.0	3.51227	0.05043
73.05	3.50983	0.05027
73.1	3.50741	0.0501
73.15	3.50499	0.04994
73.2	3.50259	0.04978
73.25	3.50019	0.04962
73.3	3.49781	0.04946
73.35	3.49544	0.04931
73.4	3.49308	0.04915
73.45	3.49073	0.04899
73.5	3.48839	0.04884
73.55	3.48607	0.04868
73.6	3.48375	0.04853
73.65	3.48144	0.04838
73.7	3.47915	0.04823
73.75	3.47686	0.04808
73.8	3.47459	0.04793
73.85	3.47233	0.04778
73.9	3.47007	0.04763
73.95	3.46783	0.04748
74.0	3.4656	0.04734
74.05	3.46337	0.04719
74.1	3.46116	0.04705
74.15	3.45896	0.04691
74.2	3.45676	0.04676
74.25	3.45458	0.04662
74.3	3.45241	0.04648
74.35	3.45024	0.04634
74.4	3.44809	0.0462
74.45	3.44594	0.04607
74.5	3.44381	0.04593
74.55	3.44168	0.04579
74.6	3.43957	0.04566
74.65	3.43746	0.04552
74.7	3.43536	0.04539
74.75	3.43327	0.04525
74.8	3.43119	0.04512
74.85	3.42912	0.04499
74.9	3.42706	0.04486
74.95	3.42501	0.04473
75.0	3.42297	0.0446
75.05	3.42093	0.04447
75.1	3.4189	0.04434
75.15	3.41689	0.04421
75.2	3.41488	0.04409
75.25	3.41288	0.04396
75.3	3.41089	0.04384
75.35	3.40891	0.04371
75.4	3.40693	0.04359
75.45	3.40497	0.04347
75.5	3.40301	0.04334
75.55	3.40106	0.04322
75.6	3.39912	0.0431
75.65	3.39718	0.04298
75.7	3.39526	0.04286
75.75	3.39334	0.04274
75.8	3.39143	0.04262
75.85	3.38953	0.04251
75.9	3.38764	0.04239
75.95	3.38576	0.04227
76.0	3.38388	0.04216
76.05	3.38201	0.04204
76.1	3.38015	0.04193
76.15	3.3783	0.04181
76.2	3.37645	0.0417
76.25	3.37461	0.04159
76.3	3.37278	0.04147
76.35	3.37096	0.04136
76.4	3.36914	0.04125
76.45	3.36733	0.04114
76.5	3.36553	0.04103
76.55	3.36374	0.04092
76.6	3.36195	0.04081
76.65	3.36017	0.04071
76.7	3.3584	0.0406
76.75	3.35664	0.04049
76.8	3.35488	0.04039
76.85	3.35313	0.04028
76.9	3.35138	0.04017
76.95	3.34965	0.04007
77.0	3.34792	0.03997
77.05	3.34619	0.03986
77.1	3.34448	0.03976
77.15	3.34277	0.03966
77.2	3.34107	0.03955
77.25	3.33937	0.03945
77.3	3.33768	0.03935
77.35	3.336	0.03925
77.4	3.33432	0.03915
77.45	3.33266	0.03905
77.5	3.33099	0.03895
77.55	3.32934	0.03886
77.6	3.32769	0.03876
77.65	3.32604	0.03866
77.7	3.32441	0.03856
77.75	3.32278	0.03847
77.8	3.32115	0.03837
77.85	3.31954	0.03828
77.9	3.31792	0.03818
77.95	3.31632	0.03809
78.0	3.31472	0.03799
78.05	3.31313	0.0379
78.1	3.31154	0.03781
78.15	3.30996	0.03771
78.2	3.30838	0.03762
78.25	3.30682	0.03753
78.3	3.30525	0.03744
78.35	3.3037	0.03735
78.4	3.30215	0.03726
78.45	3.3006	0.03717
78.5	3.29906	0.03708
78.55	3.29753	0.03699
78.6	3.296	0.0369
78.65	3.29448	0.03681
78.7	3.29296	0.03672
78.75	3.29145	0.03664
78.8	3.28995	0.03655
78.85	3.28845	0.03646
78.9	3.28695	0.03638
78.95	3.28547	0.03629
79.0	3.28398	0.0362
79.05	3.28251	0.03612
79.1	3.28103	0.03604
79.15	3.27957	0.03595
79.2	3.27811	0.03587
79.25	3.27665	0.03578
79.3	3.2752	0.0357
79.35	3.27376	0.03562
79.4	3.27232	0.03554
79.45	3.27088	0.03545
79.5	3.26945	0.03537
79.55	3.26803	0.03529
79.6	3.26661	0.03521
79.65	3.2652	0.03513
79.7	3.26379	0.03505
79.75	3.26239	0.03497
79.8	3.26099	0.03489
79.85	3.2596	0.03481
79.9	3.25821	0.03474
79.95	3.25682	0.03466
80.0	3.25545	0.03458

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: —

BaF₂ (Barium fluoride): all datasets

About BaF2 (Barium fluoride)

BaF₂, or barium fluoride, is a crystal that offers a wide transmission range, spanning from the ultraviolet into the mid-infrared regions. This material is commonly used in specialized optical applications such as scintillators in high-energy physics experiments, and as windows and lenses in infrared spectroscopy systems. It possesses a relatively low refractive index and high resistance to radiation damage, which makes it especially useful in extreme conditions. Additionally, BaF₂ has fast scintillation response times, making it advantageous in fast-timing applications. One drawback, however, is that the crystal is hygroscopic, making it sensitive to moisture and requiring proper storage and handling to maintain its optical properties. It also has a lower resistance to thermal and mechanical shock compared to other fluoride crystals, which can be a consideration depending on the intended application. Despite these limitations, BaF₂ remains a highly valuable material for specialized optical and photonic applications, owing to its broad transmission range and resilience to high-energy radiation.

More about BaF2 (Barium fluoride) →

Provenance

Version: 1 (snapshot c5c2f18)
Source page: refractiveindex.info
Original file: database/data/main/BaF2/nk/Kaiser.yml
ID: ds_7bb197aee50f
API: /v1/datasets/ds_7bb197aee50f

Plot