Optical constants

Refractive index of TlBr-TlI (Thallium bromo-iodide, KRS-5)

Rodney and Malitson 1956: n 0.577–39.38 µm

Data
formula 2
Range
0.577–39.38 µm
State
crystalline
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.577–39.38 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
-1.10419 µm⁻¹
Group index ng
3.26407
Group velocity dispersion
3216.65 fs²/mm
Dispersion parameter D
-17548.5 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-TlI (Thallium bromo-iodide, KRS-5): Rodney and Malitson 1956: n 0.577–39.38 µm
tlbr_tli = ls.fetch_refractiveindex("other", "TlBr-TlI", "Rodney", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(tlbr_tli.range_nm)  # (577, 39380) nm
eps = tlbr_tli.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 (C in µm²) (formula 2), λ in µm
n2−1=1.8293958λ2λ2−0.0225+1.6675593λ2λ2−0.0625+1.1210424λ2λ2−0.1225+0.04513366λ2λ2−0.2025+12.380234λ2λ2−27089.737

Valid from 0.577 to 39.38 µm.

Coefficients as stored
CiValue
C10.0
C21.8293958
C30.0225
C41.6675593
C50.0625
C61.1210424
C70.1225
C80.04513366
C90.2025
C1012.380234
C1127089.737

Comments and conditions

Mixed crystal: 45.7 M% of TlBr and 54.3 M% of TlI. 25 °C.

References

W. S. Rodney and I. H. Malitson. Refraction and dispersion of thallium bromide iodide. J. Opt. Soc. Am. 46, 956-960 (1956)

Cite

William S. Rodney and Irving H. Malitson. Refraction and Dispersion of Thallium Bromide Iodide. Journal of the Optical Society of America, 46, 956 (1956), doi:10.1364/josa.46.000956; 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-TlI (Thallium bromo-iodide, KRS-5), Rodney and Malitson 1956: n 0.577–39.38 µm: n and k versus wavelength
λ (µm)n
0.5772.62748
0.583142.620265
0.5893452.613336
0.5956162.606677
0.6019532.60027
0.6083582.594103
0.6148322.588161
0.6213742.582433
0.6279862.576908
0.6346682.571575
0.6414212.566425
0.6482462.561449
0.6551442.556638
0.6621152.551986
0.669162.547485
0.6762812.543128
0.6834772.538909
0.6907492.534823
0.6980992.530863
0.7055272.527024
0.7130352.523302
0.7206222.519692
0.728292.51619
0.7360392.51279
0.7438712.50949
0.7517862.506286
0.7597862.503174
0.767872.500151
0.7760412.497213
0.7842982.494358
0.7926442.491582
0.8010782.488883
0.8096022.486258
0.8182172.483705
0.8269232.481221
0.8357222.478804
0.8446142.476452
0.8536022.474163
0.8626842.471934
0.8718642.469764
0.8811412.46765
0.8905172.465592
0.8999932.463587
0.9095692.461633
0.9192472.45973
0.9290292.457875
0.9389142.456067
0.9489052.454305
0.9590022.452588
0.9692062.450913
0.9795192.44928
0.9899422.447688
1.000482.446135
1.011122.44462
1.021882.443143
1.032752.441701
1.043742.440295
1.054852.438923
1.066072.437584
1.077422.436278
1.088882.435002
1.100472.433758
1.112182.432543
1.124012.431356
1.135972.430198
1.148062.429068
1.160272.427964
1.172622.426886
1.18512.425833
1.197712.424805
1.210452.423801
1.223332.42282
1.236352.421862
1.24952.420926
1.26282.420011
1.276242.419118
1.289822.418245
1.303542.417392
1.317412.416559
1.331432.415744
1.34562.414948
1.359922.41417
1.374392.41341
1.389012.412667
1.403792.41194
1.418732.41123
1.433822.410536
1.449082.409857
1.46452.409193
1.480082.408544
1.495832.40791
1.511752.40729
1.527832.406683
1.544092.40609
1.560522.40551
1.577132.404942
1.593912.404387
1.610872.403844
1.628012.403313
1.645332.402794
1.662842.402285
1.680532.401788
1.698412.401302
1.716492.400826
1.734752.40036
1.753212.399905
1.771862.399459
1.790722.399023
1.809772.398596
1.829032.398178
1.848492.397769
1.868162.397368
1.888042.396976
1.908132.396593
1.928432.396217
1.948952.395849
1.969692.395489
1.990652.395137
2.011832.394792
2.033242.394454
2.054872.394123
2.076742.393798
2.098832.393481
2.121172.39317
2.143742.392865
2.166552.392567
2.18962.392274
2.21292.391988
2.236452.391707
2.260242.391432
2.28432.391162
2.30862.390898
2.333172.390639
2.357992.390385
2.383082.390136
2.408442.389892
2.434072.389653
2.459972.389418
2.486142.389188
2.51262.388962
2.539332.388741
2.566352.388524
2.593662.388311
2.621262.388101
2.649152.387896
2.677342.387695
2.705832.387497
2.734622.387303
2.763722.387112
2.793122.386925
2.822852.386741
2.852882.38656
2.883242.386382
2.913922.386208
2.944922.386037
2.976262.385868
3.007932.385702
3.039932.385539
3.072282.385379
3.104972.385221
3.138012.385066
3.17142.384913
3.205152.384763
3.239252.384615
3.273722.384469
3.308552.384326
3.343762.384184
3.379342.384045
3.41532.383907
3.451642.383772
3.488362.383638
3.525482.383506
3.5632.383376
3.600912.383247
3.639222.38312
3.677952.382995
3.717082.382871
3.756642.382749
3.796612.382628
3.837012.382508
3.877832.382389
3.91912.382272
3.96082.382156
4.002942.382041
4.045542.381927
4.088582.381814
4.132092.381702
4.176062.381591
4.220492.381481
4.26542.381372
4.310792.381263
4.356662.381155
4.403022.381048
4.449872.380941
4.497222.380835
4.545072.380729
4.593432.380624
4.642312.38052
4.69172.380415
4.741632.380311
4.792082.380207
4.843072.380104
4.89462.38
4.946692.379897
4.999322.379794
5.052522.37969
5.106282.379587
5.160612.379484
5.215532.379381
5.271022.379277
5.327112.379173
5.383792.379069
5.441082.378965
5.498982.37886
5.557492.378755
5.616622.37865
5.676392.378544
5.736792.378437
5.797832.37833
5.859522.378223
5.921872.378114
5.984882.378005
6.048572.377895
6.112932.377784
6.177972.377673
6.243712.37756
6.310152.377447
6.377292.377332
6.445152.377217
6.513732.3771
6.583042.376982
6.653092.376863
6.723882.376742
6.795422.37662
6.867732.376497
6.940812.376372
7.014662.376246
7.08932.376118
7.164742.375989
7.240982.375857
7.318022.375725
7.395892.37559
7.474592.375453
7.554122.375315
7.63452.375174
7.715742.375031
7.797842.374887
7.880812.37474
7.964672.37459
8.049422.374439
8.135072.374285
8.221632.374128
8.309112.373969
8.397532.373808
8.486882.373643
8.577192.373476
8.668452.373306
8.760692.373134
8.853912.372958
8.948122.372779
9.043342.372597
9.139562.372411
9.236812.372223
9.33512.372031
9.434432.371835
9.534822.371636
9.636272.371433
9.738812.371226
9.842442.371016
9.947162.370801
10.0532.370583
10.162.37036
10.26812.370133
10.37732.369901
10.48782.369665
10.59942.369425
10.71212.36918
10.82612.368929
10.94132.368674
11.05772.368414
11.17542.368149
11.29432.367878
11.41452.367602
11.5362.367321
11.65872.367033
11.78282.36674
11.90812.366441
12.03482.366136
12.16292.365825
12.29232.365507
12.42312.365182
12.55532.364851
12.68892.364513
12.82392.364168
12.96042.363816
13.09832.363457
13.23772.363089
13.37852.362715
13.52092.362332
13.66472.361941
13.81012.361543
13.95712.361135
14.10562.360719
14.25572.360295
14.40742.359861
14.56072.359418
14.71562.358965
14.87222.358503
15.03052.358031
15.19042.357549
15.3522.357056
15.51542.356553
15.68052.356039
15.84732.355514
16.01592.354978
16.18642.35443
16.35862.35387
16.53272.353298
16.70862.352714
16.88642.352117
17.06612.351507
17.24762.350883
17.43122.350246
17.61672.349595
17.80412.34893
17.99352.34825
18.1852.347555
18.37852.346845
18.57412.34612
18.77172.345378
18.97152.34462
19.17332.343845
19.37732.343053
19.58352.342244
19.79192.341416
20.00252.340571
20.21532.339706
20.43042.338822
20.64782.337918
20.86752.336995
21.08962.33605
21.3142.335085
21.54082.334097
21.772.333088
22.00162.332056
22.23572.331
22.47232.329921
22.71152.328818
22.95312.327689
23.19742.326535
23.44422.325355
23.69372.324148
23.94582.322913
24.20062.32165
24.45812.320359
24.71832.319038
24.98132.317686
25.24722.316304
25.51582.31489
25.78732.313443
26.06172.311963
26.3392.310449
26.61932.308899
26.90252.307314
27.18882.305692
27.47812.304032
27.77052.302333
28.0662.300595
28.36462.298816
28.66642.296995
28.97142.295131
29.27972.293223
29.59132.291271
29.90612.289272
30.22442.287225
30.5462.28513
30.8712.282985
31.19952.280788
31.53152.278539
31.8672.276236
32.20612.273877
32.54882.271461
32.89512.268987
33.24512.266453
33.59892.263857
33.95642.261197
34.31772.258472
34.68292.25568
35.05192.25282
35.42492.249888
35.80182.246884
36.18282.243804
36.56782.240648
36.95692.237413
37.35012.234096
37.74752.230696
38.14922.227209
38.55512.223633
38.96542.219966
39.382.216205

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
—