Optical constants

Refractive index of TlBr (Thallium bromide)

Palik 1985: n 0.57–39.4 µm

Data
formula 1
Range
0.57–39.4 µm
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.57–39.4 µm
Refractive index n
2.61525
Extinction coefficient k
0
Permittivity ε1
6.83953
Permittivity ε2
0
Absorption coefficient α
0 cm⁻¹
Penetration depth δ = λ/(2πk)
— nm
Abbe number Vd
—
Chromatic dispersion dn/dλ
-1.10609 µm⁻¹
Group index ng
3.26519
Group velocity dispersion
3205.49 fs²/mm
Dispersion parameter D
-17487.7 ps/(nm·km)
Photon energy
2.11001 eV

ε = (n + ik)², α = 4πk/λ, ng = 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

# TlBr (Thallium bromide): Palik 1985: n 0.57–39.4 µm
tlbr = ls.fetch_refractiveindex("main", "TlBr", "Palik", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(tlbr.range_nm)  # (570, 39400) nm
eps = tlbr.eps([633])  # complex permittivity

Downloads the original record once (pinned to the imported snapshot) and caches it.

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.

Dispersion formula

Sellmeier (formula 1), λ in µm
n2−1=3.744239λ2λ2−0.20796032+0.9189162λ2λ2−0.37656432+12.5444602λ2λ2−165.65255182

Valid from 0.57 to 39.4 µm.

Coefficients as stored
CiValue
C10.0
C23.744239
C30.2079603
C40.9189162
C50.3765643
C612.5444602
C7165.6525518

Comments and conditions

25 °C

Notes on the source data (kept exactly as published):
  • no primary reference in the source file

References

Handbook of Optical Constants of Solids, Edward D. Palik, ed. Academic Press, Boston, 1985

Cite

Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

Computed on 400 wavelengths, the same grid as the API and the library
TlBr (Thallium bromide), Palik 1985: n 0.57–39.4 µm: n and k versus wavelength
λ (µm)n
0.572.636206
0.5760832.628609
0.5822322.621319
0.5884462.614318
0.5947262.607588
0.6010742.601115
0.6074892.594884
0.6139722.588883
0.6205252.583099
0.6271482.577521
0.6338412.572139
0.6406062.566943
0.6474432.561925
0.6543532.557075
0.6613372.552386
0.6683962.547851
0.6755292.543463
0.6827392.539215
0.6900262.535102
0.697392.531117
0.7048332.527256
0.7123562.523512
0.7199592.519883
0.7276432.516362
0.7354092.512945
0.7432582.50963
0.751192.506411
0.7592082.503286
0.767312.50025
0.77552.497301
0.7837772.494435
0.7921422.491649
0.8005962.488941
0.8091412.486308
0.8177762.483747
0.8265042.481256
0.8353252.478832
0.8442412.476474
0.8532512.474178
0.8623582.471944
0.8715622.469768
0.8808642.46765
0.8902652.465587
0.8997662.463578
0.9093692.461621
0.9190752.459714
0.9288842.457856
0.9387982.456045
0.9488182.45428
0.9589442.45256
0.9691792.450883
0.9795232.449247
0.9899772.447653
1.000542.446098
1.011222.444581
1.022012.443102
1.032922.441659
1.043952.440251
1.055092.438878
1.066352.437538
1.077732.43623
1.089232.434953
1.100862.433707
1.112612.432491
1.124482.431304
1.136482.430146
1.148612.429014
1.160872.427909
1.173262.426831
1.185782.425777
1.198442.424749
1.211232.423744
1.224162.422762
1.237222.421804
1.250432.420867
1.263772.419953
1.277262.419059
1.290892.418186
1.304672.417333
1.318592.416499
1.332672.415684
1.346892.414888
1.361262.41411
1.375792.41335
1.390482.412606
1.405322.41188
1.420322.41117
1.435472.410475
1.450792.409797
1.466282.409133
1.481932.408484
1.497742.40785
1.513732.40723
1.529882.406623
1.546212.40603
1.562722.40545
1.579392.404882
1.596252.404328
1.613292.403785
1.630512.403254
1.647912.402735
1.66552.402227
1.683272.40173
1.701242.401244
1.719392.400768
1.737742.400303
1.756292.399847
1.775032.399402
1.793982.398966
1.813132.398539
1.832482.398121
1.852042.397713
1.87182.397313
1.891782.396921
1.911972.396538
1.932382.396162
1.9532.395795
1.973842.395435
1.994912.395083
2.01622.394738
2.037722.394401
2.059472.39407
2.081452.393746
2.103662.393429
2.126122.393118
2.148812.392814
2.171742.392516
2.194922.392224
2.218342.391938
2.242022.391657
2.265952.391383
2.290132.391113
2.314582.39085
2.339282.390591
2.364252.390337
2.389482.390089
2.414982.389845
2.440762.389606
2.466812.389372
2.493132.389142
2.519742.388917
2.546632.388696
2.573812.388479
2.601282.388266
2.629052.388057
2.657112.387852
2.685472.387651
2.714132.387453
2.743092.38726
2.772372.387069
2.801962.386882
2.831862.386699
2.862092.386518
2.892632.386341
2.923512.386167
2.954712.385996
2.986242.385827
3.018122.385662
3.050332.385499
3.082882.385339
3.115792.385182
3.149042.385027
3.182652.384874
3.216622.384724
3.250952.384576
3.285642.384431
3.320712.384287
3.356152.384146
3.391972.384007
3.428172.383869
3.464762.383734
3.501742.3836
3.539112.383468
3.576892.383338
3.615062.38321
3.653642.383083
3.692642.382958
3.732052.382834
3.771882.382712
3.812142.382591
3.852822.382471
3.893942.382353
3.93552.382235
3.977512.382119
4.019962.382004
4.062862.381891
4.106222.381778
4.150052.381666
4.194342.381554
4.239112.381444
4.284352.381335
4.330082.381226
4.376292.381118
4.4232.38101
4.47022.380904
4.517912.380797
4.566132.380691
4.614872.380586
4.664122.380481
4.71392.380376
4.764212.380272
4.815062.380168
4.866452.380064
4.918392.37996
4.970882.379857
5.023932.379753
5.077552.379649
5.131742.379546
5.186512.379442
5.241872.379338
5.297812.379234
5.354362.37913
5.41152.379026
5.469262.378921
5.527632.378816
5.586632.37871
5.646252.378604
5.706512.378497
5.767422.37839
5.828972.378282
5.891182.378174
5.954062.378065
6.01762.377955
6.081832.377844
6.146742.377732
6.212342.37762
6.278642.377507
6.345662.377392
6.413382.377277
6.481832.37716
6.551012.377042
6.620932.376923
6.691592.376803
6.763012.376681
6.835192.376558
6.908142.376433
6.981872.376307
7.056392.37618
7.13172.376051
7.207812.37592
7.284742.375787
7.362492.375653
7.441072.375516
7.520482.375378
7.600752.375238
7.681872.375096
7.763862.374951
7.846722.374805
7.930472.374656
8.015112.374505
8.100652.374351
8.187112.374195
8.274492.374037
8.36282.373876
8.452052.373712
8.542262.373545
8.633432.373376
8.725572.373204
8.81872.373028
8.912822.37285
9.007942.372669
9.104082.372484
9.201252.372296
9.299452.372104
9.39872.371909
9.499012.371711
9.600392.371509
9.702862.371303
9.806412.371093
9.911082.370879
10.01692.370661
10.12382.370439
10.23182.370212
10.3412.369982
10.45142.369746
10.56292.369507
10.67572.369262
10.78962.369013
10.90482.368759
11.02112.368499
11.13882.368235
11.25772.367965
11.37782.36769
11.49922.367409
11.6222.367122
11.7462.36683
11.87142.366532
11.99812.366227
12.12612.365917
12.25552.3656
12.38632.365276
12.51852.364946
12.65212.364609
12.78722.364264
12.92372.363913
13.06162.363554
13.2012.363188
13.34192.362814
13.48432.362433
13.62822.362043
13.77362.361645
13.92062.361238
14.06922.360823
14.21942.360399
14.37112.359966
14.52452.359524
14.67952.359072
14.83622.358611
14.99462.35814
15.15462.357658
15.31632.357167
15.47982.356664
15.6452.356151
15.8122.355627
15.98072.355091
16.15132.354544
16.32372.353985
16.49792.353414
16.6742.35283
16.85192.352234
17.03182.351624
17.21362.351001
17.39732.350365
17.5832.349715
17.77062.34905
17.96032.348371
18.1522.347676
18.34572.346967
18.54152.346242
18.73942.3455
18.93942.344743
19.14152.343969
19.34582.343177
19.55232.342368
19.7612.341541
19.97192.340695
20.1852.339831
20.40052.338947
20.61822.338043
20.83832.33712
21.06072.336175
21.28542.33521
21.51262.334222
21.74222.333213
21.97432.33218
22.20882.331125
22.44582.330045
22.68542.328941
22.92752.327812
23.17222.326658
23.41952.325477
23.66952.324269
23.92212.323033
24.17742.32177
24.43542.320477
24.69622.319155
24.95982.317803
25.22622.316419
25.49542.315004
25.76752.313555
26.04262.312074
26.32052.310558
26.60142.309007
26.88532.307419
27.17232.305795
27.46232.304133
27.75542.302432
28.05162.300691
28.3512.29891
28.65362.297086
28.95942.29522
29.26852.293309
29.58082.291353
29.89662.28935
30.21562.2873
30.53812.285201
30.8642.283052
31.19352.280852
31.52642.278598
31.86292.27629
32.20292.273927
32.54662.271506
32.8942.269027
33.2452.266487
33.59992.263885
33.95852.261219
34.32092.258488
34.68722.255689
35.05742.252822
35.43162.249883
35.80972.246871
36.19192.243784
36.57822.24062
36.96862.237376
37.36312.23405
37.76192.23064
38.16492.227143
38.57232.223558
38.98392.21988
39.42.216108

Optical transmission calculator

Free-standing sample in vacuum, normal incidence
Method
Transmittance T
—
Reflectance R
—

Fresnel reflection calculator

Direction
Rp
—
Rs
—
R = (Rp+Rs)/2
—
Phase φp
—
Phase φs
—
Brewster angle θB
—
Critical angle θC
—