Optical constants

Refractive index of LaF3 (Lanthanum fluoride)

Amotchkina et al, 2020: n 0.4–12 µm, k 9.5–12 µm

Data
formula 2 + tabulated k
Range
0.4–12 µm
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength. Note: k data cover 9493.08-11973.9 nm only; k = 0 elsewhere in the n range 400-12000 nm.

At one wavelength

Range 0.4–12 µm
Refractive index n
1.51258
Extinction coefficient k
0
Permittivity ε1
2.2879
Permittivity ε2
0
Absorption coefficient α
0 cm⁻¹
Penetration depth δ = λ/(2πk)
— nm
Abbe number Vd
37.088
Chromatic dispersion dn/dλ
-0.0703766 µm⁻¹
Group index ng
1.55393
Group velocity dispersion
139.757 fs²/mm
Dispersion parameter D
-762.447 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

# LaF3 (Lanthanum fluoride): Amotchkina et al, 2020: n 0.4–12 µm, k 9.5–12 µm
laf3 = ls.fetch_refractiveindex("main", "LaF3", "Amotchkina", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(laf3.range_nm)  # (400, 12000) nm
eps = laf3.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=−0.812958+2.030974λ2λ2−0.01057737+0.024492λ2λ2+0.851254+4.54458λ2λ2−1149.999773

Valid from 0.4 to 12.0 µm.

Coefficients as stored
CiValue
C1-0.812958
C22.030974
C30.01057737
C40.024492
C5-0.851254
C64.54458
C71149.999773

Comments and conditions

1.368 µm LaF3 film deposited on 1 mm thick ZnSe substratee by e-beam evaporation at 120 °C substrate temperature.

Conditions

substrate
ZnSe
film thickness
1.368e-6
Notes on the source data (kept exactly as published):
  • k data cover 9493.08-11973.9 nm only; k = 0 elsewhere in the n range 400-12000 nm

References

T. Amotchkina, M. Trubetskov, D. Hahner, V. Pervak. Characterization of e-beam evaporated Ge, YbF3, ZnS, and LaF3 thin films for laser-oriented coatings. Appl. Opt. 59, A40-A47 (2020) (Data kindly provided by Tatiana Amotchkina [data] [description])
  • doi:10.1364/ao.59.000a40 Characterization of e-beam evaporated Ge, YbF <sub>3</sub> , ZnS, and LaF <sub>3</sub> thin films for laser-oriented coatings, Applied Optics (2019)

Cite

Tatiana Amotchkina, Michael Trubetskov, Daniel Hahner and Vladimir Pervak. Characterization of e-beam evaporated Ge, YbF <sub>3</sub> , ZnS, and LaF <sub>3</sub> thin films for laser-oriented coatings. Applied Optics, 59, A40 (2019), doi:10.1364/ao.59.000a40; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

Computed on 649 wavelengths, the same grid as the API and the library
LaF3 (Lanthanum fluoride), Amotchkina et al, 2020: n 0.4–12 µm, k 9.5–12 µm: n and k versus wavelength
λ (µm)nk
0.41.5378650
0.4034241.5370340
0.4068781.5362190
0.4103611.535420
0.4138741.5346370
0.4174171.5338680
0.4209911.5331140
0.4245951.5323750
0.4282291.5316490
0.4318951.5309380
0.4355931.530240
0.4393221.5295550
0.4430831.5288840
0.4468761.5282250
0.4507011.5275790
0.454561.5269450
0.4584511.5263230
0.4623761.5257130
0.4663341.5251150
0.4703261.5245280
0.4743521.5239520
0.4784131.5233870
0.4825091.5228330
0.4866391.5222890
0.4908051.5217560
0.4950071.5212330
0.4992451.5207190
0.5035191.5202160
0.5078291.5197220
0.5121771.5192370
0.5165611.5187620
0.5209831.5182950
0.5254431.5178380
0.5299411.5173890
0.5344781.5169490
0.5390541.5165170
0.5436681.5160930
0.5483231.5156770
0.5530171.5152690
0.5577511.5148690
0.5625261.5144760
0.5673411.5140910
0.5721981.5137130
0.5770971.5133430
0.5820371.5129790
0.587021.5126230
0.5920451.5122730
0.5971131.5119290
0.6022251.5115930
0.6073811.5112620
0.612581.5109380
0.6178241.510620
0.6231131.5103080
0.6284481.5100020
0.6338281.5097020
0.6392541.5094080
0.6447261.5091190
0.6502451.5088350
0.6558121.5085570
0.6614261.5082840
0.6670891.5080170
0.6727991.5077540
0.6785591.5074970
0.6843681.5072440
0.6902271.5069960
0.6961351.5067530
0.7020951.5065140
0.7081051.506280
0.7141671.506050
0.7202811.5058250
0.7264471.5056040
0.7326661.5053870
0.7389381.5051740
0.7452641.5049650
0.7516441.504760
0.7580791.5045590
0.7645691.5043610
0.7711141.5041670
0.7777151.5039770
0.7843731.5037910
0.7910881.5036070
0.797861.5034280
0.804691.5032510
0.8115791.5030780
0.8185271.5029080
0.8255341.5027410
0.8326011.5025770
0.8397291.5024160
0.8469181.5022580
0.8541681.5021020
0.861481.501950
0.8688551.50180
0.8762931.5016530
0.8837951.5015080
0.8913611.5013660
0.8989911.5012270
0.9066871.501090
0.9144491.5009550
0.9222781.5008220
0.9301731.5006920
0.9381361.5005640
0.9461671.5004380
0.9542671.5003140
0.9624361.5001920
0.9706751.5000720
0.9789851.4999540
0.9873661.4998380
0.9958191.4997230
1.004341.499610
1.012941.49950
1.021611.499390
1.030361.4992830
1.039181.4991760
1.048081.4990720
1.057051.4989690
1.06611.4988670
1.075221.4987670
1.084431.4986680
1.093711.498570
1.103071.4984740
1.112521.4983780
1.122041.4982840
1.131651.4981910
1.141341.4980990
1.151111.4980080
1.160961.4979180
1.17091.4978290
1.180921.4977410
1.191031.4976540
1.201231.4975680
1.211511.4974820
1.221881.4973970
1.232341.4973130
1.242891.4972290
1.253531.4971470
1.264261.4970640
1.275091.4969830
1.2861.4969010
1.297011.4968210
1.308121.496740
1.319311.496660
1.330611.4965810
1.3421.4965020
1.353491.4964230
1.365071.4963440
1.376761.4962660
1.388551.4961880
1.400431.496110
1.412421.4960320
1.424511.4959540
1.436711.4958760
1.449011.4957990
1.461411.4957210
1.473921.4956430
1.486541.4955650
1.499271.4954870
1.51211.4954090
1.525051.4953310
1.53811.4952530
1.551271.4951740
1.564551.4950950
1.577941.4950160
1.591451.4949360
1.605081.4948560
1.618821.4947760
1.632671.4946950
1.646651.4946130
1.660751.4945320
1.674971.4944490
1.68931.4943660
1.703771.4942830
1.718351.4941990
1.733061.4941140
1.74791.4940290
1.762861.4939420
1.777951.4938550
1.793171.4937680
1.808521.4936790
1.824011.493590
1.839621.4934990
1.855371.4934080
1.871251.4933160
1.887271.4932230
1.903431.4931280
1.919721.4930330
1.936161.4929370
1.952731.4928390
1.969451.492740
1.986311.4926410
2.003311.4925390
2.020461.4924370
2.037761.4923330
2.055211.4922280
2.07281.4921220
2.090541.4920140
2.108441.4919050
2.126491.4917940
2.144691.4916820
2.163051.4915680
2.181571.4914520
2.200251.4913350
2.219081.4912160
2.238081.4910960
2.257241.4909740
2.276561.490850
2.296051.4907240
2.315711.4905960
2.335531.4904660
2.355531.4903340
2.375691.4902010
2.396031.4900650
2.416541.4899270
2.437231.4897870
2.458091.4896450
2.479141.48950
2.500361.4893530
2.521761.4892040
2.543351.4890530
2.565131.4888990
2.587091.4887430
2.609231.4885840
2.631571.4884220
2.65411.4882580
2.676821.4880910
2.699731.4879220
2.722851.487750
2.746161.4875740
2.769661.4873960
2.793381.4872150
2.817291.4870310
2.841411.4868440
2.865731.4866540
2.890261.486460
2.915011.4862640
2.939961.4860640
2.965131.485860
2.990511.4856530
3.016111.4854430
3.041931.4852290
3.067981.4850110
3.094241.484790
3.120731.4845650
3.147441.4843360
3.174391.4841030
3.201561.4838660
3.228971.4836250
3.256611.4833790
3.284491.483130
3.312611.4828760
3.340971.4826180
3.369571.4823550
3.398421.4820880
3.427511.4818160
3.456851.481540
3.486441.4812580
3.516291.4809720
3.546391.480680
3.576751.4803840
3.607371.4800820
3.638251.4797750
3.66941.4794620
3.700811.4791440
3.73251.4788210
3.764451.4784920
3.796671.4781560
3.829181.4778150
3.861961.4774680
3.895021.4771150
3.928361.4767550
3.961991.476390
3.995911.4760170
4.030121.4756380
4.064621.4752520
4.099421.4748590
4.134511.474460
4.16991.4740530
4.20561.4736390
4.24161.4732170
4.277921.4727880
4.314541.4723510
4.351471.4719060
4.388731.4714530
4.42631.4709930
4.464191.4705230
4.50241.4700460
4.540951.4695590
4.579821.4690640
4.619031.468560
4.658571.4680470
4.698451.4675240
4.738671.4669920
4.779241.466450
4.820161.4658980
4.861421.4653370
4.903041.4647650
4.945011.4641820
4.987341.4635890
5.030041.4629850
5.07311.462370
5.116531.4617430
5.160331.4611050
5.204511.4604560
5.249061.4597940
5.2941.459120
5.339321.4584340
5.385031.4577340
5.431131.4570220
5.477621.4562970
5.524511.4555580
5.571811.4548050
5.61951.4540390
5.667611.4532580
5.716131.4524620
5.765071.4516510
5.814421.4508260
5.864191.4499840
5.91441.4491270
5.965031.4482540
6.016091.4473640
6.067591.4464570
6.119541.4455330
6.171931.4445920
6.224761.4436320
6.278051.4426540
6.33181.4416580
6.3861.4406420
6.440671.4396070
6.495811.4385520
6.551411.4374770
6.60751.4363810
6.664071.4352640
6.721111.4341250
6.778651.4329640
6.836681.4317810
6.895211.4305740
6.954241.4293440
7.013771.4280890
7.073811.426810
7.134371.4255060
7.195451.4241760
7.257041.422820
7.319171.4214370
7.381831.4200260
7.445021.4185880
7.508761.417120
7.573041.4156230
7.637871.4140960
7.703251.4125380
7.76921.4109490
7.835711.4093270
7.902791.4076730
7.970441.4059850
8.038681.4042620
8.107491.4025040
8.17691.4007090
8.24691.3988780
8.31751.3970080
8.38871.39510
8.460521.3931520
8.532941.3911630
8.605991.3891330
8.679671.3870590
8.753971.3849420
8.828911.3827790
8.904491.3805710
8.980721.3783150
9.05761.3760110
9.135141.3736570
9.213351.3712520
9.292221.3687940
9.371771.3662830
9.4521.3637170
9.493081.3623890
9.503081.3620650.000392
9.513091.361740.000372
9.523091.3614140.000352
9.532911.3610940.0003333345
9.533091.3610880.000333
9.54311.3607610.000313
9.55311.3604340.000293
9.56311.3601060.000274
9.573111.3597780.000254
9.583111.3594490.000234
9.593111.359120.000233
9.603121.358790.000237
9.613121.3584590.000242
9.614521.3584130.0002425611
9.623121.3581280.000246
9.633131.3577960.000251
9.643131.3574640.000255
9.653131.3571320.00026
9.663141.3567980.000264
9.673141.3564650.000269
9.683141.356130.000273
9.693151.3557950.000278
9.696831.3556720.0002794721
9.703151.355460.000282
9.713151.3551240.000287
9.723161.3547870.000291
9.733161.354450.000296
9.743161.3541130.0003
9.753171.3537740.000305
9.763171.3534360.00031
9.773171.3530970.000323
9.779841.352870.0003416635
9.783181.3527560.000351
9.793181.3524160.000379
9.803181.3520750.000407
9.813191.3517330.000435
9.823191.3513910.000462
9.833191.3510490.00049
9.84321.3507050.000518
9.85321.3503620.000546
9.86321.3500170.000574
9.863561.3500050.0005750206
9.873211.3496720.000602
9.883211.3493270.00063
9.893211.3489810.000658
9.903221.3486340.000686
9.913221.3482870.000714
9.923231.3479390.000742
9.933231.3475910.000769
9.943231.3472420.000797
9.9481.3470750.0008103547
9.953241.3468920.000825
9.963241.3465420.000866
9.973241.3461910.000907
9.983251.345840.000948
9.993251.3454880.000988
10.00331.3451340.00103
10.01331.3447810.00107
10.02331.3444280.00111
10.03321.3440790.001149466
10.03331.3440740.00115
10.04331.3437190.00119
10.05331.3433640.00123
10.06331.3430080.00127
10.07331.3426520.00131
10.08331.3422950.00135
10.09331.3419370.0014
10.10331.3415790.00144
10.11331.3412210.00148
10.11911.3410140.001503032
10.12331.3408610.00152
10.13331.3405010.00156
10.14331.3401410.00161
10.15331.339780.00168
10.16331.3394180.00174
10.17331.3390560.0018
10.18331.3386930.00187
10.19331.338330.00193
10.20331.3379660.00199
10.20571.3378790.002006692
10.21331.3376010.00206
10.22331.3372360.00212
10.23331.336870.00218
10.24331.3365030.00225
10.25331.3361360.00231
10.26331.3357690.00237
10.27331.33540.00244
10.28331.3350310.0025
10.29311.3346710.002567593
10.29341.3346580.00257
10.30341.3342880.00263
10.31341.3339180.00269
10.32341.3335460.00276
10.33341.3331740.00285
10.34341.3328020.00294
10.35341.3324290.00303
10.36341.3320550.00312
10.37341.331680.00321
10.38121.3313890.003287689
10.38341.3313050.00331
10.39341.330930.0034
10.40341.3305540.00349
10.41341.3301770.00358
10.42341.3297990.00367
10.43341.3294210.00376
10.44341.3290430.00385
10.45341.3286630.00394
10.46341.3282830.00403
10.471.3280310.004089754
10.47341.3279030.00412
10.48341.3275220.00421
10.49341.327140.0043
10.50341.3267570.00439
10.51341.3263740.0045
10.52341.325990.00462
10.53341.3256060.00474
10.54341.3252210.00485
10.55341.3248360.00497
10.55971.3245930.005045247
10.56341.3244490.00509
10.57341.3240620.0052
10.58341.3236750.00532
10.59351.3232830.00544
10.60351.3228940.00555
10.61351.3225050.00567
10.62351.3221140.00579
10.63351.3217240.0059
10.64351.3213320.00602
10.65011.3210750.006092261
10.65351.320940.00613
10.66351.3205480.00625
10.67351.3201540.00637
10.68351.319760.00648
10.69351.3193660.00661
10.70351.3189710.00675
10.71351.3185750.00689
10.72351.3181780.00703
10.73351.3177810.00717
10.74121.3174730.007278384
10.74351.3173830.00731
10.75351.3169840.00745
10.76351.3165850.00759
10.77351.3161850.00773
10.78351.3157850.00787
10.79351.3153840.00801
10.80351.3149820.00815
10.81351.3145790.00829
10.82351.3141760.00843
10.83321.3137850.008565725
10.83351.3137720.00857
10.84351.3133680.00871
10.85351.3129630.00884
10.86351.3125570.00898
10.87351.312150.00913
10.88361.3117390.00928
10.89361.3113310.00944
10.90361.3109230.00959
10.91361.3105140.00975
10.92361.3101040.0099
10.92591.3100080.009946696
10.93361.3096930.0101
10.94361.3092820.0102
10.95361.308870.0104
10.96361.3084570.0105
10.97361.3080440.0107
10.98361.307630.0108
10.99361.3072150.011
11.00361.30680.0111
11.01361.3063840.0113
11.01951.306140.01141738
11.02361.3059670.0115
11.03361.305550.0116
11.04361.3051320.0118
11.05361.3047130.0119
11.06361.3042940.0121
11.07361.3038730.0123
11.08361.3034530.0124
11.09361.3030310.0126
11.10361.3026090.0128
11.11361.3021860.013
11.11381.3021770.01300204
11.12361.3017620.0131
11.13361.3013380.0133
11.14361.3009130.0135
11.15361.3004870.0136
11.16361.300060.0138
11.17361.2996330.014
11.18371.2992010.0142
11.19371.2987720.0143
11.20371.2983430.0145
11.20891.2981170.01460492
11.21371.2979130.0147
11.22371.2974820.0149
11.23371.2970510.015
11.24371.2966180.0152
11.25371.2961860.0154
11.26371.2957520.0156
11.27371.2953180.0157
11.28371.2948820.0159
11.29371.2944470.0161
11.30371.294010.0163
11.30491.2939580.01632406
11.31371.2935730.0165
11.32371.2931350.0166
11.33371.2926960.0168
11.34371.2922570.017
11.35371.2918160.0172
11.36371.2913760.0173
11.37371.2909340.0175
11.38371.2904910.0177
11.39371.2900480.0179
11.40171.2896940.01805963
11.40371.2896040.0181
11.41371.289160.0182
11.42371.2887150.0184
11.43371.2882680.0186
11.44371.2878220.0188
11.45371.2873740.0189
11.46371.2869260.0191
11.47381.2864720.0193
11.48381.2860220.0195
11.49381.2855720.0196
11.49931.2853240.01970976
11.50381.285120.0198
11.51381.2846680.02
11.52381.2842150.0202
11.53381.2837620.0203
11.54381.2833070.0205
11.55381.2828520.0207
11.56381.2823960.0208
11.57381.2819390.021
11.58381.2814820.0212
11.59381.2810240.0214
11.59771.2808430.02143931
11.60381.2805650.0215
11.61381.2801050.0217
11.62381.2796450.0219
11.63381.2791830.022
11.64381.2787210.0222
11.65381.2782580.0224
11.66381.2777950.0226
11.67381.277330.0227
11.68381.2768650.0229
11.69381.2763990.0231
11.6971.2762490.02313216
11.70381.2759320.0232
11.71381.2754650.0234
11.72381.2749960.0236
11.73381.2745270.0237
11.74381.2740570.0239
11.75381.2735870.0241
11.76381.2731150.0243
11.77391.2726380.0244
11.78391.2721650.0246
11.79391.2716910.0248
11.79721.2715370.02483251
11.80391.2712160.0249
11.81391.2707410.0251
11.82391.2702650.0253
11.83391.2697880.0255
11.84391.269310.0256
11.85391.2688310.0258
11.86391.2683510.026
11.87391.2678710.0261
11.88391.267390.0263
11.89391.2669080.0265
11.89811.2667030.02658486
11.90391.2664250.0267
11.91391.2659420.0268
11.92391.2654570.027
11.93391.2649720.0272
11.94391.2644860.0273
11.95391.2639990.0275
11.96391.2635110.0277
11.97391.2630230.0279
121.2617440

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
—