Optical constants

Refractive index of TlBr-TlCl (Thallium bromo-chloride, KRS-6)

Hettner and Leisegang 1948: n 0.6–24 µm

Data
formula 4
Range
0.6–24 µm
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.6–24 µm
Refractive index n
2.19284
Extinction coefficient k
0
Permittivity ε1
4.80854
Permittivity ε2
0
Absorption coefficient α
0 cm⁻¹
Penetration depth δ = λ/(2πk)
— nm
Abbe number Vd
—
Chromatic dispersion dn/dλ
-0.00153174 µm⁻¹
Group index ng
2.19864
Group velocity dispersion
-37.4398 fs²/mm
Dispersion parameter D
4.90971 ps/(nm·km)
Photon energy
0.327135 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-TlCl (Thallium bromo-chloride, KRS-6): Hettner and Leisegang 1948: n 0.6–24 µm
tlbr_tlcl = ls.fetch_refractiveindex("other", "TlBr-TlCl", "Hettner", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(tlbr_tlcl.range_nm)  # (600, 24000) nm
eps = tlbr_tlcl.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

RefractiveIndex.INFO (formula 4), λ in µm
n2=1.0+3.821λ2.0λ2−0.022342.0−0.000877⁢λ2.0

Valid from 0.6 to 24.0 µm.

Coefficients as stored
CiValue
C11.0
C23.821
C32.0
C40.02234
C52.0
C60.0
C70.0
C80.0
C91.0
C10-0.000877
C112.0

References

G. Hettner and G. Leisegang. Dispersion of the mixed crystals TlBr-TlI (KRS-5) and TlCl-TlBr (KRS-6) in the infrared, Optik, 3, 305-314 (1948) [in German], as cited in Handbook of Optics, 3rd edition, Vol. 4. McGraw-Hill 2009 (data fit by Handbook of Optics, corrected by refractiveindex.info)

Cite

G. Hettner and G. Leisegang. Dispersion of the mixed crystals TlBr-TlI (KRS-5) and TlCl-TlBr (KRS-6) in the infrared, Optik, 3, 305-314 (1948) [in German], as cited in Handbook of Optics, 3rd edition, Vol. 4. McGraw-Hill 2009 (data fit by Handbook of Optics, corrected by refractiveindex.info); 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-TlCl (Thallium bromo-chloride, KRS-6), Hettner and Leisegang 1948: n 0.6–24 µm: n and k versus wavelength
λ (µm)n
0.62.196813
0.6055732.19679
0.6111982.196767
0.6168742.196744
0.6226042.196722
0.6283872.1967
0.6342242.196678
0.6401142.196657
0.646062.196636
0.6520612.196615
0.6581172.196595
0.664232.196575
0.6703992.196555
0.6766262.196536
0.6829112.196516
0.6892542.196498
0.6956562.196479
0.7021172.196461
0.7086382.196443
0.715222.196425
0.7218632.196408
0.7285682.19639
0.7353352.196373
0.7421652.196357
0.7490592.19634
0.7560162.196324
0.7630382.196308
0.7701252.196292
0.7772782.196276
0.7844982.196261
0.7917842.196246
0.7991392.19623
0.8065612.196216
0.8140532.196201
0.8216142.196186
0.8292452.196172
0.8369472.196158
0.8447212.196144
0.8525672.19613
0.8604862.196117
0.8684782.196103
0.8765442.19609
0.8846862.196076
0.8929032.196063
0.9011972.19605
0.9095672.196038
0.9180152.196025
0.9265422.196012
0.9351482.196
0.9438342.195987
0.95262.195975
0.9614482.195963
0.9703782.195951
0.9793912.195939
0.9884882.195927
0.9976692.195915
1.006942.195904
1.016292.195892
1.025732.19588
1.035262.195869
1.044872.195857
1.054582.195846
1.064372.195835
1.074262.195824
1.084232.195812
1.094312.195801
1.104472.19579
1.114732.195779
1.125082.195768
1.135532.195757
1.146082.195746
1.156722.195735
1.167472.195724
1.178312.195713
1.189262.195702
1.20032.195691
1.211452.19568
1.22272.19567
1.234062.195659
1.245522.195648
1.257092.195637
1.268772.195626
1.280552.195615
1.292442.195604
1.304452.195593
1.316562.195582
1.328792.195571
1.341142.19556
1.353592.195549
1.366162.195538
1.378852.195526
1.391662.195515
1.404592.195504
1.417632.195492
1.43082.195481
1.444092.195469
1.45752.195458
1.471042.195446
1.48472.195434
1.498492.195423
1.512412.195411
1.526462.195399
1.540642.195387
1.554952.195374
1.569392.195362
1.583972.19535
1.598682.195337
1.613532.195324
1.628512.195312
1.643642.195299
1.658912.195286
1.674312.195273
1.689872.195259
1.705562.195246
1.72142.195232
1.737392.195219
1.753532.195205
1.769822.195191
1.786252.195176
1.802852.195162
1.819592.195147
1.836492.195133
1.853552.195118
1.870772.195103
1.888142.195087
1.905682.195072
1.923382.195056
1.941242.19504
1.959272.195024
1.977472.195008
1.995842.194991
2.014382.194974
2.033092.194957
2.051972.19494
2.071032.194922
2.090272.194904
2.109682.194886
2.129282.194868
2.149052.194849
2.169012.19483
2.189162.194811
2.209492.194791
2.230022.194772
2.250732.194751
2.271632.194731
2.292732.19471
2.314032.194689
2.335522.194668
2.357212.194646
2.379112.194624
2.401212.194601
2.423512.194578
2.446022.194555
2.468742.194531
2.491672.194507
2.514812.194483
2.538172.194458
2.561742.194433
2.585542.194407
2.609552.194381
2.633792.194354
2.658252.194327
2.682942.1943
2.707862.194272
2.733022.194244
2.75842.194215
2.784022.194185
2.809882.194155
2.835982.194125
2.862322.194094
2.88892.194062
2.915742.19403
2.942822.193998
2.970152.193964
2.997742.193931
3.025582.193896
3.053692.193861
3.082052.193825
3.110682.193789
3.139572.193752
3.168732.193715
3.198162.193676
3.227872.193637
3.257852.193598
3.288112.193558
3.318652.193516
3.349472.193475
3.380582.193432
3.411982.193389
3.443672.193345
3.475662.1933
3.507942.193254
3.540522.193207
3.573412.19316
3.60662.193112
3.64012.193063
3.673912.193013
3.708032.192962
3.742472.19291
3.777232.192857
3.812322.192803
3.847732.192748
3.883462.192692
3.919532.192636
3.955942.192578
3.992682.192519
4.029772.192459
4.06722.192398
4.104972.192336
4.14312.192272
4.181582.192208
4.220422.192142
4.259622.192075
4.299192.192007
4.339122.191937
4.379422.191867
4.42012.191795
4.461152.191721
4.502592.191647
4.544412.19157
4.586622.191493
4.629222.191414
4.672222.191334
4.715612.191252
4.759412.191168
4.803622.191083
4.848242.190997
4.893272.190909
4.938722.190819
4.984592.190727
5.030892.190634
5.077612.190539
5.124782.190443
5.172382.190344
5.220422.190244
5.268912.190142
5.317842.190038
5.367242.189932
5.417092.189824
5.46742.189714
5.518192.189602
5.569442.189488
5.621172.189372
5.673382.189254
5.726082.189133
5.779262.18901
5.832942.188885
5.887122.188758
5.94182.188628
5.996992.188496
6.052692.188361
6.108912.188224
6.165652.188084
6.222912.187941
6.280712.187796
6.339052.187649
6.397932.187498
6.457352.187345
6.517332.187189
6.577862.187029
6.638962.186867
6.700622.186702
6.762862.186534
6.825682.186363
6.889072.186188
6.953062.18601
7.017642.185829
7.082822.185645
7.148612.185457
7.215012.185265
7.282022.18507
7.349662.184871
7.417922.184669
7.486822.184462
7.556362.184252
7.626552.184038
7.697382.18382
7.768882.183598
7.841042.183372
7.913872.183141
7.987372.182906
8.061562.182667
8.136442.182423
8.212012.182175
8.288282.181922
8.365272.181664
8.442972.181401
8.521392.181134
8.600532.180861
8.680422.180583
8.761042.1803
8.842422.180012
8.924552.179719
9.007442.179419
9.09112.179115
9.175542.178804
9.260772.178488
9.346782.178166
9.43362.177837
9.521222.177503
9.609652.177162
9.698912.176815
9.788992.176461
9.879912.1761
9.971682.175733
10.06432.175359
10.15782.174978
10.25212.17459
10.34732.174194
10.44352.173791
10.54052.17338
10.63842.172962
10.73722.172535
10.83692.172101
10.93762.171658
11.03912.171208
11.14172.170748
11.24522.17028
11.34962.169803
11.4552.169317
11.56142.168822
11.66882.168317
11.77722.167803
11.88662.16728
11.9972.166746
12.10842.166202
12.22092.165648
12.33442.165084
12.4492.164509
12.56462.163923
12.68132.163325
12.79912.162717
12.9182.162097
13.03792.161465
13.1592.160821
13.28132.160166
13.40462.159497
13.52912.158816
13.65482.158122
13.78162.157415
13.90962.156694
14.03882.15596
14.16922.155212
14.30082.154449
14.43362.153672
14.56772.15288
14.7032.152073
14.83962.151251
14.97742.150413
15.11652.149559
15.25692.148689
15.39862.147803
15.54172.146899
15.6862.145978
15.83172.145039
15.97882.144083
16.12722.143108
16.2772.142115
16.42812.141102
16.58072.14007
16.73472.139019
16.89022.137947
17.04712.136855
17.20542.135742
17.36522.134607
17.52652.133451
17.68932.132272
17.85362.131071
18.01942.129846
18.18682.128598
18.35572.127326
18.52622.12603
18.69832.124708
18.87192.123361
19.04722.121988
19.22412.120588
19.40272.119162
19.58292.117707
19.76482.116225
19.94842.114714
20.13372.113173
20.32072.111603
20.50942.110002
20.69992.10837
20.89222.106706
21.08622.10501
21.28212.10328
21.47972.101517
21.67922.09972
21.88062.097887
22.08382.096019
22.2892.094114
22.4962.092171
22.70492.090191
22.91582.088172
23.12872.086113
23.34352.084013
23.56032.081872
23.77912.079689
242.077463

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
—