Optical constants

Refractive index of LaF₃ (Lanthanum fluoride)

Laihoa and Lakkistoa 1983: n(e) 0.35–0.70 µm

Data: formula 1
Range: 0.35–0.7 µm
Optical axis: e
State: crystalline
Licence: CC0-1.0

Uniaxial crystal, axes: oe

Axis Log x Log y

Click the plot to set the calculator wavelength.

At one wavelength

Refractive index n: 1.59671
Extinction coefficient k: 0

Permittivity ε₁: 2.5495
Permittivity ε₂: 0

Absorption coefficient α: 0 cm⁻¹
Penetration depth δ = λ/(2πk): — nm

Abbe number V_d: 81.257
Chromatic dispersion dn/dλ: -0.0377149 µm⁻¹

Group index n_g: 1.61888
Group velocity dispersion: 70.9657 fs²/mm

Dispersion parameter D: -387.156 ps/(nm·km)
Photon energy: 2.11001 eV

ε = (n + ik)², α = 4πk/λ, n_g = 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): Laihoa and Lakkistoa 1983: n(e) 0.35–0.70 µm
laf3 = ls.fetch_refractiveindex("main", "LaF3", "Laihoa-e", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(laf3.range_nm)  # (350, 700) nm
eps = laf3.eps([633])  # complex permittivity

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

import json, urllib.request
import lightsmith as ls

url = "https://materials.lightsmith.dev/v1/datasets/ds_b39b3c669dda/lightsmith"
laf3 = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(laf3.source)  # citation and provenance travel with the data

Any dataset here, as the library's Tabulated material (laf3/laihoa-lakkistoa-1983-e).

# ... load laf3 as above, then:
sim = ls.Simulation(
    particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=laf3)],
    medium_index=1.0,
    wavelengths=ls.WavelengthRange(start_nm=400, stop_nm=700, num=81),
)
res = ls.solve(sim)  # exact Mie for a sphere
print(res.q_ext)     # extinction efficiency at each wavelength

Same spec runs with DDA, FDTD, BEM or T-matrix: ls.compare(sim, ["mie", "dda"]).

import json, urllib.request
import lightsmith as ls

url = "https://materials.lightsmith.dev/v1/datasets/ds_b39b3c669dda/lightsmith?model=drude_lorentz"
laf3_dl = ls.DrudeLorentz.model_validate(json.load(urllib.request.urlopen(url)))

A dispersive Drude–Lorentz model for time-domain solvers.

Materials guide Open a sphere of it in Studio Quick start Ask the community

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

n^{2} - 1 = \frac{1.5149 λ^{2}}{λ^{2} - {0.0878}^{2}}

Valid from 0.35 to 0.7 µm.

Coefficients as stored

C_i	Value
C1	0.0
C2	1.5149
C3	0.0878

Comments and conditions

Extraordinary ray (e)

Conditions

direction: e

References

R. Laihoa and M. Lakkistoa. Investigation of the refractive indices of LaF₃, CeF₃, PrF₃ and NdF₃. Phil. Mag. B 48, 203-207 (1983) (As cited in Handbook of Optics, 2nd edition, Vol. 2. McGraw-Hill 1994).

doi:10.1080/13642818308226470 Investigation of the refractive indices of LaF3, CeF3, PrF3 and NdF3, Philosophical Magazine B (1983)

Cite

R. Laiho and M. Lakkisto. Investigation of the refractive indices of LaF3, CeF3, PrF3 and NdF3. Philosophical Magazine B, 48, 203-207 (1983), doi:10.1080/13642818308226470; 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

CSV comma separated TXT tab separated YAML n, k Full database record original YAML All quantities CSV JSON metadata

LaF3 (Lanthanum fluoride), Laihoa and Lakkistoa 1983: n(e) 0.35–0.70 µm: n and k versus wavelength
λ (µm)	n
0.35	1.617601
0.350609	1.617485
0.351218	1.617369
0.351829	1.617253
0.352441	1.617138
0.353053	1.617024
0.353667	1.61691
0.354282	1.616796
0.354898	1.616683
0.355515	1.61657
0.356133	1.616458
0.356753	1.616346
0.357373	1.616234
0.357994	1.616123
0.358617	1.616012
0.35924	1.615902
0.359865	1.615792
0.360491	1.615683
0.361117	1.615574
0.361745	1.615465
0.362374	1.615357
0.363004	1.615249
0.363635	1.615142
0.364268	1.615035
0.364901	1.614929
0.365536	1.614822
0.366171	1.614717
0.366808	1.614612
0.367446	1.614507
0.368084	1.614402
0.368724	1.614298
0.369366	1.614194
0.370008	1.614091
0.370651	1.613988
0.371296	1.613886
0.371941	1.613784
0.372588	1.613682
0.373236	1.613581
0.373885	1.61348
0.374535	1.613379
0.375186	1.613279
0.375838	1.613179
0.376492	1.61308
0.377146	1.612981
0.377802	1.612882
0.378459	1.612784
0.379117	1.612686
0.379776	1.612588
0.380437	1.612491
0.381098	1.612394
0.381761	1.612298
0.382424	1.612202
0.383089	1.612106
0.383755	1.612011
0.384423	1.611916
0.385091	1.611821
0.385761	1.611727
0.386431	1.611633
0.387103	1.611539
0.387776	1.611446
0.388451	1.611353
0.389126	1.611261
0.389803	1.611169
0.39048	1.611077
0.391159	1.610986
0.391839	1.610894
0.392521	1.610804
0.393203	1.610713
0.393887	1.610623
0.394572	1.610533
0.395258	1.610444
0.395945	1.610355
0.396633	1.610266
0.397323	1.610178
0.398014	1.61009
0.398706	1.610002
0.399399	1.609915
0.400094	1.609828
0.400789	1.609741
0.401486	1.609655
0.402184	1.609568
0.402883	1.609483
0.403584	1.609397
0.404286	1.609312
0.404989	1.609227
0.405693	1.609143
0.406398	1.609059
0.407105	1.608975
0.407813	1.608891
0.408522	1.608808
0.409232	1.608725
0.409944	1.608643
0.410656	1.60856
0.41137	1.608478
0.412086	1.608397
0.412802	1.608315
0.41352	1.608234
0.414239	1.608154
0.414959	1.608073
0.415681	1.607993
0.416403	1.607913
0.417127	1.607834
0.417853	1.607754
0.418579	1.607675
0.419307	1.607597
0.420036	1.607518
0.420766	1.60744
0.421498	1.607363
0.422231	1.607285
0.422965	1.607208
0.4237	1.607131
0.424437	1.607054
0.425175	1.606978
0.425914	1.606902
0.426655	1.606826
0.427397	1.606751
0.42814	1.606675
0.428884	1.606601
0.42963	1.606526
0.430377	1.606452
0.431125	1.606377
0.431875	1.606304
0.432626	1.60623
0.433378	1.606157
0.434131	1.606084
0.434886	1.606011
0.435642	1.605939
0.4364	1.605866
0.437159	1.605795
0.437919	1.605723
0.43868	1.605652
0.439443	1.60558
0.440207	1.60551
0.440972	1.605439
0.441739	1.605369
0.442507	1.605299
0.443277	1.605229
0.444047	1.605159
0.444819	1.60509
0.445593	1.605021
0.446368	1.604952
0.447144	1.604884
0.447921	1.604815
0.4487	1.604747
0.44948	1.604679
0.450262	1.604612
0.451044	1.604545
0.451829	1.604478
0.452614	1.604411
0.453401	1.604344
0.45419	1.604278
0.454979	1.604212
0.45577	1.604146
0.456563	1.604081
0.457357	1.604015
0.458152	1.60395
0.458949	1.603886
0.459747	1.603821
0.460546	1.603757
0.461347	1.603693
0.462149	1.603629
0.462952	1.603565
0.463757	1.603502
0.464564	1.603438
0.465371	1.603376
0.466181	1.603313
0.466991	1.60325
0.467803	1.603188
0.468616	1.603126
0.469431	1.603064
0.470247	1.603003
0.471065	1.602941
0.471884	1.60288
0.472705	1.602819
0.473526	1.602759
0.47435	1.602698
0.475175	1.602638
0.476001	1.602578
0.476828	1.602518
0.477657	1.602459
0.478488	1.6024
0.47932	1.60234
0.480153	1.602282
0.480988	1.602223
0.481825	1.602164
0.482662	1.602106
0.483501	1.602048
0.484342	1.60199
0.485184	1.601933
0.486028	1.601875
0.486873	1.601818
0.48772	1.601761
0.488568	1.601704
0.489417	1.601648
0.490268	1.601591
0.49112	1.601535
0.491974	1.601479
0.49283	1.601424
0.493687	1.601368
0.494545	1.601313
0.495405	1.601258
0.496266	1.601203
0.497129	1.601148
0.497993	1.601093
0.498859	1.601039
0.499727	1.600985
0.500596	1.600931
0.501466	1.600877
0.502338	1.600824
0.503211	1.600771
0.504086	1.600717
0.504963	1.600664
0.505841	1.600612
0.50672	1.600559
0.507601	1.600507
0.508484	1.600455
0.509368	1.600403
0.510254	1.600351
0.511141	1.600299
0.51203	1.600248
0.51292	1.600196
0.513812	1.600145
0.514705	1.600095
0.5156	1.600044
0.516496	1.599993
0.517394	1.599943
0.518294	1.599893
0.519195	1.599843
0.520098	1.599793
0.521002	1.599744
0.521908	1.599694
0.522816	1.599645
0.523725	1.599596
0.524635	1.599547
0.525547	1.599498
0.526461	1.59945
0.527377	1.599402
0.528294	1.599353
0.529212	1.599305
0.530132	1.599258
0.531054	1.59921
0.531977	1.599163
0.532902	1.599115
0.533829	1.599068
0.534757	1.599021
0.535687	1.598974
0.536618	1.598928
0.537551	1.598881
0.538486	1.598835
0.539422	1.598789
0.54036	1.598743
0.5413	1.598697
0.542241	1.598652
0.543184	1.598606
0.544128	1.598561
0.545074	1.598516
0.546022	1.598471
0.546971	1.598426
0.547922	1.598382
0.548875	1.598337
0.549829	1.598293
0.550785	1.598249
0.551743	1.598205
0.552702	1.598161
0.553663	1.598117
0.554626	1.598074
0.55559	1.59803
0.556556	1.597987
0.557524	1.597944
0.558493	1.597901
0.559465	1.597859
0.560437	1.597816
0.561412	1.597774
0.562388	1.597731
0.563366	1.597689
0.564345	1.597647
0.565326	1.597606
0.566309	1.597564
0.567294	1.597522
0.56828	1.597481
0.569269	1.59744
0.570258	1.597399
0.57125	1.597358
0.572243	1.597317
0.573238	1.597277
0.574235	1.597236
0.575233	1.597196
0.576233	1.597156
0.577235	1.597116
0.578239	1.597076
0.579244	1.597036
0.580251	1.596996
0.58126	1.596957
0.582271	1.596918
0.583283	1.596879
0.584298	1.59684
0.585314	1.596801
0.586331	1.596762
0.587351	1.596723
0.588372	1.596685
0.589395	1.596646
0.59042	1.596608
0.591446	1.59657
0.592475	1.596532
0.593505	1.596495
0.594537	1.596457
0.59557	1.596419
0.596606	1.596382
0.597643	1.596345
0.598682	1.596308
0.599723	1.596271
0.600766	1.596234
0.601811	1.596197
0.602857	1.596161
0.603905	1.596124
0.604955	1.596088
0.606007	1.596052
0.607061	1.596016
0.608116	1.59598
0.609174	1.595944
0.610233	1.595908
0.611294	1.595873
0.612357	1.595837
0.613421	1.595802
0.614488	1.595767
0.615556	1.595732
0.616627	1.595697
0.617699	1.595662
0.618773	1.595628
0.619849	1.595593
0.620927	1.595559
0.622006	1.595524
0.623088	1.59549
0.624171	1.595456
0.625256	1.595422
0.626343	1.595389
0.627432	1.595355
0.628523	1.595321
0.629616	1.595288
0.630711	1.595255
0.631808	1.595221
0.632906	1.595188
0.634007	1.595155
0.635109	1.595123
0.636213	1.59509
0.637319	1.595057
0.638428	1.595025
0.639538	1.594992
0.64065	1.59496
0.641763	1.594928
0.642879	1.594896
0.643997	1.594864
0.645117	1.594832
0.646238	1.594801
0.647362	1.594769
0.648488	1.594738
0.649615	1.594706
0.650745	1.594675
0.651876	1.594644
0.65301	1.594613
0.654145	1.594582
0.655282	1.594551
0.656422	1.594521
0.657563	1.59449
0.658706	1.59446
0.659852	1.594429
0.660999	1.594399
0.662148	1.594369
0.6633	1.594339
0.664453	1.594309
0.665608	1.594279
0.666766	1.59425
0.667925	1.59422
0.669086	1.59419
0.67025	1.594161
0.671415	1.594132
0.672582	1.594103
0.673752	1.594074
0.674923	1.594045
0.676097	1.594016
0.677272	1.593987
0.67845	1.593958
0.679629	1.59393
0.680811	1.593901
0.681995	1.593873
0.683181	1.593845
0.684369	1.593817
0.685558	1.593789
0.68675	1.593761
0.687945	1.593733
0.689141	1.593705
0.690339	1.593677
0.691539	1.59365
0.692742	1.593622
0.693946	1.593595
0.695153	1.593568
0.696361	1.593541
0.697572	1.593514
0.698785	1.593487
0.7	1.59346

Optical transmission calculator

Free-standing sample in vacuum, normal incidence

Transmittance T: —
Reflectance R: —

Fresnel reflection calculator

R_p: —
R_s: —
R = (R_p+R_s)/2: —
Phase φ_p: —
Phase φ_s: —
Brewster angle θ_B: —
Critical angle θ_C: —

LaF₃ (Lanthanum fluoride): all datasets

Crystal

Thin film

About LaF3 (Lanthanum fluoride)

Lanthanum fluoride (LaF₃) is a white, crystalline, inorganic compound that is used in a variety of optical applications. It is a popular choice for the production of fluoride glass and is also used as a scintillation material in radiation detection. Due to its low refractive index, it is often used in antireflection coatings, especially for infrared optics. The compound is stable, has good thermal durability, and exhibits a wide transparency range, making it a versatile material for various optical systems. Its low solubility in water also makes it preferable in moisture-sensitive applications. LaF₃ is an important material in both research and commercial optical technologies. Mineral: Fluocerite-(La)

More about LaF3 (Lanthanum fluoride) →

Provenance

Version: 1 (snapshot c5c2f18)
Source page: refractiveindex.info
Original file: database/data/main/LaF3/nk/Laihoa-e.yml
ID: ds_b39b3c669dda
API: /v1/datasets/ds_b39b3c669dda

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