Optical constants

Refractive index of CsI (Cesium iodide)

Li 1976: n 0.25–67 µm

Data
formula 1
Range
0.25–67 µm
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.25–67 µm
Refractive index n
1.78756
Extinction coefficient k
0
Permittivity ε1
3.19538
Permittivity ε2
0
Absorption coefficient α
0 cm⁻¹
Penetration depth δ = λ/(2πk)
— nm
Abbe number Vd
24.018
Chromatic dispersion dn/dλ
-0.164948 µm⁻¹
Group index ng
1.88449
Group velocity dispersion
340.111 fs²/mm
Dispersion parameter D
-1855.49 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

# CsI (Cesium iodide): Li 1976: n 0.25–67 µm
csi = ls.fetch_refractiveindex("main", "CsI", "Li", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(csi.range_nm)  # (250, 67000) nm
eps = csi.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=0.27587+0.68689λ2λ2−0.132+0.2609λ2λ2−0.1472+0.06256λ2λ2−0.1632+0.06527λ2λ2−0.1772+0.14991λ2λ2−0.1852+0.51818λ2λ2−0.2062+0.01918λ2λ2−0.2182+3.38229λ2λ2−161.292

Valid from 0.25 to 67.0 µm.

Coefficients as stored
CiValue
C10.27587
C20.68689
C30.13
C40.2609
C50.147
C60.06256
C70.163
C80.06527
C90.177
C100.14991
C110.185
C120.51818
C130.206
C140.01918
C150.218
C163.38229
C17161.29

Comments and conditions

297 K (24 °C).

References

H. H. Li. Refractive index of alkali halides and its wavelength and temperature derivatives. J. Phys. Chem. Ref. Data 5, 329-528 (1976) and references therein.
* Sellmeier formula is derived by fitting experimental data from several sources.
  • doi:10.1063/1.555536 Refractive index of alkali halides and its wavelength and temperature derivatives, Journal of Physical and Chemical Reference Data (1976)

Cite

H. H. Li. Refractive index of alkali halides and its wavelength and temperature derivatives. Journal of Physical and Chemical Reference Data, 5, 329-528 (1976), doi:10.1063/1.555536; 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
CsI (Cesium iodide), Li 1976: n 0.25–67 µm: n and k versus wavelength
λ (µm)n
0.252.209377
0.2535282.180373
0.2571052.154381
0.2607332.130923
0.2644132.109621
0.2681442.090176
0.2719282.072342
0.2757652.055917
0.2796562.040734
0.2836022.026653
0.2876042.013554
0.2916632.001337
0.2957791.989914
0.2999521.979209
0.3041851.969157
0.3084771.9597
0.312831.950787
0.3172451.942374
0.3217211.93442
0.3262611.926891
0.3308651.919754
0.3355341.91298
0.3402691.906545
0.345071.900424
0.349941.894598
0.3548781.889045
0.3598851.88375
0.3649641.878695
0.3701141.873867
0.3753371.869251
0.3806331.864835
0.3860041.860608
0.3914511.85656
0.3969751.85268
0.4025771.848959
0.4082581.845389
0.4140191.841963
0.4198611.838672
0.4257861.835509
0.4317941.83247
0.4378871.829547
0.4440661.826735
0.4503321.824028
0.4566871.821423
0.4631311.818914
0.4696671.816496
0.4762941.814166
0.4830151.81192
0.4898311.809754
0.4967431.807665
0.5037531.80565
0.5108611.803704
0.518071.801826
0.5253811.800013
0.5327951.798262
0.5403131.79657
0.5479371.794936
0.5556691.793356
0.563511.79183
0.5714621.790354
0.5795261.788926
0.5877041.787546
0.5959971.786211
0.6044071.784919
0.6129361.783669
0.6215851.782459
0.6303571.781288
0.6392521.780154
0.6482721.779057
0.657421.777994
0.6666971.776965
0.6761051.775968
0.6856461.775003
0.6953211.774067
0.7051331.773161
0.7150831.772283
0.7251731.771431
0.7354061.770606
0.7457841.769807
0.7563081.769032
0.766981.76828
0.7778031.767551
0.7887791.766845
0.7999091.766159
0.8111971.765495
0.8226441.76485
0.8342521.764225
0.8460241.763618
0.8579631.76303
0.870071.762459
0.8823471.761905
0.8947981.761367
0.9074251.760846
0.920231.760339
0.9332151.759848
0.9463841.759371
0.9597381.758908
0.9732811.758459
0.9870161.758022
1.000941.757599
1.015071.757188
1.029391.756788
1.043921.756401
1.058651.756024
1.073591.755658
1.088741.755303
1.10411.754958
1.119681.754624
1.135481.754298
1.15151.753982
1.167751.753675
1.184231.753377
1.200941.753087
1.217891.752806
1.235071.752532
1.25251.752266
1.270181.752008
1.28811.751757
1.306281.751513
1.324711.751276
1.34341.751046
1.362361.750822
1.381581.750605
1.401081.750393
1.420851.750187
1.44091.749988
1.461231.749793
1.481851.749604
1.502761.74942
1.523971.749242
1.545471.749068
1.567281.748899
1.58941.748735
1.611831.748575
1.634571.748419
1.657641.748268
1.681031.748121
1.704751.747978
1.728811.747839
1.75321.747703
1.777941.747571
1.803031.747443
1.828471.747318
1.854271.747196
1.880441.747078
1.906971.746962
1.933881.74685
1.961171.746741
1.988851.746634
2.016911.746531
2.045371.746429
2.074241.746331
2.103511.746235
2.133191.746141
2.163291.74605
2.193821.745961
2.224771.745875
2.256171.74579
2.288011.745707
2.320291.745627
2.353031.745548
2.386241.745472
2.419911.745397
2.454061.745324
2.488691.745252
2.523811.745182
2.559421.745114
2.595541.745047
2.632161.744982
2.66931.744918
2.706971.744856
2.745171.744795
2.783911.744735
2.823191.744676
2.863031.744618
2.903431.744562
2.94441.744507
2.985951.744452
3.028091.744399
3.070811.744347
3.114151.744295
3.158091.744245
3.202661.744195
3.247851.744146
3.293681.744098
3.340161.744051
3.387291.744004
3.435091.743958
3.483561.743912
3.532721.743867
3.582571.743822
3.633121.743778
3.684391.743735
3.736381.743692
3.789111.743649
3.842581.743607
3.89681.743565
3.951791.743523
4.007551.743481
4.06411.74344
4.121451.743399
4.179611.743358
4.238591.743317
4.29841.743276
4.359061.743236
4.420571.743195
4.482951.743154
4.546211.743113
4.610361.743073
4.675411.743032
4.741391.742991
4.80831.74295
4.876151.742908
4.944951.742867
5.014731.742825
5.08551.742782
5.157261.74274
5.230031.742697
5.303841.742654
5.378681.74261
5.454581.742566
5.531551.742521
5.609611.742476
5.688761.74243
5.769041.742384
5.850451.742337
5.9331.742289
6.016721.74224
6.101631.742191
6.187731.742141
6.275041.74209
6.363591.742038
6.453391.741986
6.544451.741932
6.63681.741877
6.730461.741822
6.825431.741765
6.921741.741707
7.019421.741648
7.118471.741587
7.218921.741526
7.320791.741463
7.424091.741398
7.528851.741332
7.635091.741265
7.742831.741196
7.852091.741126
7.96291.741054
8.075261.74098
8.189211.740905
8.304771.740827
8.421961.740748
8.540811.740667
8.661331.740584
8.783551.740498
8.907491.740411
9.033191.740321
9.160661.740229
9.289921.740135
9.421011.740038
9.553961.739939
9.688771.739837
9.825491.739732
9.964141.739625
10.10471.739515
10.24731.739402
10.39191.739286
10.53861.739166
10.68731.739044
10.83811.738918
10.9911.738789
11.14611.738656
11.30341.738519
11.46291.738379
11.62471.738235
11.78871.738087
11.95511.737935
12.12381.737779
12.29481.737618
12.46831.737453
12.64431.737283
12.82271.737108
13.00371.736929
13.18711.736744
13.37321.736554
13.56191.736359
13.75331.736158
13.94741.735952
14.14421.73574
14.34381.735521
14.54621.735297
14.75151.735066
14.95961.734829
15.17071.734584
15.38481.734333
15.60191.734074
15.82211.733808
16.04531.733535
16.27171.733253
16.50141.732964
16.73421.732666
16.97041.732359
17.20981.732043
17.45271.731719
17.69891.731384
17.94871.731041
18.2021.730687
18.45881.730322
18.71931.729948
18.98351.729562
19.25131.729165
19.5231.728756
19.79851.728335
20.07791.727902
20.36121.727456
20.64851.726997
20.93991.726524
21.23541.726037
21.5351.725536
21.83891.72502
22.14711.724489
22.45961.723942
22.77651.723379
23.09791.722798
23.42391.722201
23.75441.721585
24.08961.720951
24.42951.720298
24.77431.719626
25.12391.718933
25.47841.718219
25.83791.717483
26.20251.716726
26.57231.715945
26.94721.71514
27.32751.714311
27.71311.713456
28.10421.712575
28.50071.711667
28.90291.710732
29.31081.709767
29.72441.708772
30.14381.707747
30.56921.706689
31.00061.705599
31.4381.704475
31.88161.703315
32.33151.702119
32.78781.700885
33.25041.699612
33.71961.698298
34.19551.696943
34.6781.695544
35.16731.694101
35.66361.692611
36.16681.691073
36.67721.689485
37.19481.687845
37.71961.686152
38.25191.684404
38.79171.682597
39.33911.680731
39.89421.678803
40.45711.676811
41.0281.674752
41.6071.672623
42.19411.670422
42.78951.668146
43.39331.665793
44.00561.663358
44.62661.66084
45.25631.658233
45.8951.655535
46.54261.652743
47.19941.649851
47.86541.646856
48.54081.643754
49.22581.640539
49.92041.637207
50.62491.633753
51.33921.630172
52.06371.626457
52.79841.622602
53.54341.618601
54.2991.614448
55.06521.610134
55.84221.605653
56.63021.600996
57.42931.596154
58.23971.591119
59.06161.585879
59.8951.580426
60.74021.574747
61.59731.56883
62.46651.562664
63.3481.556232
64.24191.549522
65.14841.542517
66.06771.5352
671.527552

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
—