Optical constants
Refractive index of LiCaAlF6 (Lithium calcium aluminum fluoride, LiCAF)
Woods et al. 1991: n(e) 0.4–1.0 µm
- Data
- formula 4
- Range
- 0.4–1 µm
- Temperature
- 299 K
- Optical axis
- e
- Licence
- CC0-1.0
Uniaxial crystal, axes: oe
Plot
Click the plot to set the calculator wavelength.
At one wavelength
- Refractive index n
- 1.39098
- Extinction coefficient k
- 0
- Permittivity ε1
- 1.93483
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- 103.13
- Chromatic dispersion dn/dλ
- -0.0197234 µm⁻¹
- Group index ng
- 1.40257
- Group velocity dispersion
- 33.0315 fs²/mm
- Dispersion parameter D
- -180.204 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
# LiCaAlF6 (Lithium calcium aluminum fluoride, LiCAF): Woods et al. 1991: n(e) 0.4–1.0 µm
licaalf6 = ls.fetch_refractiveindex("main", "LiCaAlF6", "Woods-e", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(licaalf6.range_nm) # (400, 1000) nm
eps = licaalf6.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_9ae94829c811/lightsmith"
licaalf6 = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(licaalf6.source) # citation and provenance travel with the data
Any dataset here, as the library's Tabulated material (licaalf6/woods-1991-e).
# ... load licaalf6 as above, then:
sim = ls.Simulation(
particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=licaalf6)],
medium_index=1.0,
wavelengths=ls.WavelengthRange(start_nm=400, stop_nm=1000, 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"]).
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 µmValid from 0.4 to 1.0 µm.
Coefficients as stored
| Ci | Value |
|---|---|
| C1 | 1.92155 |
| C2 | 0.00494 |
| C3 | 0.0 |
| C4 | 0.00617 |
| C5 | 1.0 |
| C6 | 0.0 |
| C7 | 0.0 |
| C8 | 0.0 |
| C9 | 1.0 |
| C10 | -0.00373 |
| C11 | 2.0 |
Comments and conditions
Conditions
- temperature
- 299 K
- direction
- e
References
- doi:10.1364/josab.8.000970 Thermomechanical and thermo-optical properties of the LiCaAlF_6:Cr^3+ laser material, Journal of the Optical Society of America B (1991)
Cite
Bruce W. Woods, Stephen A. Payne, John E. Marion, Robert S. Hughes and Laura E. Davis. Thermomechanical and thermo-optical properties of the LiCaAlF_6:Cr^3+ laser material. Journal of the Optical Society of America B, 8, 970 (1991), doi:10.1364/josab.8.000970; 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| λ (µm) | n |
|---|---|
| 0.4 | 1.397522 |
| 0.40092 | 1.397466 |
| 0.401841 | 1.39741 |
| 0.402765 | 1.397355 |
| 0.403691 | 1.3973 |
| 0.404619 | 1.397246 |
| 0.40555 | 1.397191 |
| 0.406482 | 1.397137 |
| 0.407417 | 1.397083 |
| 0.408353 | 1.397029 |
| 0.409292 | 1.396976 |
| 0.410233 | 1.396923 |
| 0.411176 | 1.39687 |
| 0.412122 | 1.396817 |
| 0.413069 | 1.396765 |
| 0.414019 | 1.396713 |
| 0.414971 | 1.396661 |
| 0.415925 | 1.396609 |
| 0.416881 | 1.396558 |
| 0.41784 | 1.396506 |
| 0.4188 | 1.396455 |
| 0.419763 | 1.396405 |
| 0.420728 | 1.396354 |
| 0.421695 | 1.396304 |
| 0.422665 | 1.396254 |
| 0.423637 | 1.396204 |
| 0.424611 | 1.396155 |
| 0.425587 | 1.396105 |
| 0.426565 | 1.396056 |
| 0.427546 | 1.396007 |
| 0.428529 | 1.395959 |
| 0.429514 | 1.39591 |
| 0.430502 | 1.395862 |
| 0.431492 | 1.395814 |
| 0.432484 | 1.395767 |
| 0.433478 | 1.395719 |
| 0.434475 | 1.395672 |
| 0.435473 | 1.395625 |
| 0.436475 | 1.395578 |
| 0.437478 | 1.395531 |
| 0.438484 | 1.395485 |
| 0.439492 | 1.395439 |
| 0.440503 | 1.395393 |
| 0.441515 | 1.395347 |
| 0.44253 | 1.395301 |
| 0.443548 | 1.395256 |
| 0.444568 | 1.395211 |
| 0.44559 | 1.395166 |
| 0.446614 | 1.395121 |
| 0.447641 | 1.395077 |
| 0.44867 | 1.395032 |
| 0.449702 | 1.394988 |
| 0.450736 | 1.394944 |
| 0.451772 | 1.3949 |
| 0.452811 | 1.394857 |
| 0.453852 | 1.394814 |
| 0.454895 | 1.39477 |
| 0.455941 | 1.394728 |
| 0.456989 | 1.394685 |
| 0.45804 | 1.394642 |
| 0.459093 | 1.3946 |
| 0.460148 | 1.394558 |
| 0.461206 | 1.394516 |
| 0.462267 | 1.394474 |
| 0.46333 | 1.394432 |
| 0.464395 | 1.394391 |
| 0.465462 | 1.39435 |
| 0.466533 | 1.394309 |
| 0.467605 | 1.394268 |
| 0.46868 | 1.394227 |
| 0.469758 | 1.394187 |
| 0.470838 | 1.394147 |
| 0.47192 | 1.394106 |
| 0.473005 | 1.394067 |
| 0.474093 | 1.394027 |
| 0.475183 | 1.393987 |
| 0.476275 | 1.393948 |
| 0.47737 | 1.393909 |
| 0.478468 | 1.39387 |
| 0.479568 | 1.393831 |
| 0.48067 | 1.393792 |
| 0.481776 | 1.393753 |
| 0.482883 | 1.393715 |
| 0.483993 | 1.393677 |
| 0.485106 | 1.393639 |
| 0.486222 | 1.393601 |
| 0.487339 | 1.393563 |
| 0.48846 | 1.393526 |
| 0.489583 | 1.393489 |
| 0.490708 | 1.393451 |
| 0.491837 | 1.393414 |
| 0.492967 | 1.393378 |
| 0.494101 | 1.393341 |
| 0.495237 | 1.393304 |
| 0.496375 | 1.393268 |
| 0.497517 | 1.393232 |
| 0.49866 | 1.393196 |
| 0.499807 | 1.39316 |
| 0.500956 | 1.393124 |
| 0.502108 | 1.393089 |
| 0.503262 | 1.393053 |
| 0.504419 | 1.393018 |
| 0.505579 | 1.392983 |
| 0.506741 | 1.392948 |
| 0.507906 | 1.392913 |
| 0.509074 | 1.392878 |
| 0.510245 | 1.392844 |
| 0.511418 | 1.392809 |
| 0.512593 | 1.392775 |
| 0.513772 | 1.392741 |
| 0.514953 | 1.392707 |
| 0.516137 | 1.392674 |
| 0.517324 | 1.39264 |
| 0.518513 | 1.392607 |
| 0.519705 | 1.392573 |
| 0.5209 | 1.39254 |
| 0.522098 | 1.392507 |
| 0.523298 | 1.392474 |
| 0.524501 | 1.392441 |
| 0.525707 | 1.392409 |
| 0.526916 | 1.392376 |
| 0.528127 | 1.392344 |
| 0.529341 | 1.392312 |
| 0.530558 | 1.39228 |
| 0.531778 | 1.392248 |
| 0.533001 | 1.392216 |
| 0.534226 | 1.392184 |
| 0.535455 | 1.392153 |
| 0.536686 | 1.392121 |
| 0.537919 | 1.39209 |
| 0.539156 | 1.392059 |
| 0.540396 | 1.392028 |
| 0.541638 | 1.391997 |
| 0.542884 | 1.391966 |
| 0.544132 | 1.391936 |
| 0.545383 | 1.391905 |
| 0.546637 | 1.391875 |
| 0.547893 | 1.391845 |
| 0.549153 | 1.391815 |
| 0.550416 | 1.391785 |
| 0.551681 | 1.391755 |
| 0.552949 | 1.391725 |
| 0.554221 | 1.391696 |
| 0.555495 | 1.391666 |
| 0.556772 | 1.391637 |
| 0.558052 | 1.391608 |
| 0.559335 | 1.391579 |
| 0.560621 | 1.39155 |
| 0.56191 | 1.391521 |
| 0.563202 | 1.391492 |
| 0.564497 | 1.391463 |
| 0.565795 | 1.391435 |
| 0.567095 | 1.391406 |
| 0.568399 | 1.391378 |
| 0.569706 | 1.39135 |
| 0.571016 | 1.391322 |
| 0.572329 | 1.391294 |
| 0.573645 | 1.391266 |
| 0.574963 | 1.391238 |
| 0.576285 | 1.391211 |
| 0.57761 | 1.391183 |
| 0.578938 | 1.391156 |
| 0.580269 | 1.391129 |
| 0.581603 | 1.391102 |
| 0.582941 | 1.391075 |
| 0.584281 | 1.391048 |
| 0.585624 | 1.391021 |
| 0.586971 | 1.390994 |
| 0.58832 | 1.390967 |
| 0.589673 | 1.390941 |
| 0.591028 | 1.390915 |
| 0.592387 | 1.390888 |
| 0.593749 | 1.390862 |
| 0.595114 | 1.390836 |
| 0.596483 | 1.39081 |
| 0.597854 | 1.390784 |
| 0.599228 | 1.390758 |
| 0.600606 | 1.390733 |
| 0.601987 | 1.390707 |
| 0.603371 | 1.390682 |
| 0.604758 | 1.390656 |
| 0.606149 | 1.390631 |
| 0.607542 | 1.390606 |
| 0.608939 | 1.390581 |
| 0.610339 | 1.390556 |
| 0.611742 | 1.390531 |
| 0.613149 | 1.390506 |
| 0.614558 | 1.390481 |
| 0.615971 | 1.390457 |
| 0.617388 | 1.390432 |
| 0.618807 | 1.390408 |
| 0.62023 | 1.390383 |
| 0.621656 | 1.390359 |
| 0.623085 | 1.390335 |
| 0.624517 | 1.390311 |
| 0.625953 | 1.390287 |
| 0.627392 | 1.390263 |
| 0.628835 | 1.390239 |
| 0.630281 | 1.390216 |
| 0.63173 | 1.390192 |
| 0.633182 | 1.390169 |
| 0.634638 | 1.390145 |
| 0.636097 | 1.390122 |
| 0.637559 | 1.390099 |
| 0.639025 | 1.390075 |
| 0.640494 | 1.390052 |
| 0.641967 | 1.390029 |
| 0.643443 | 1.390006 |
| 0.644922 | 1.389984 |
| 0.646405 | 1.389961 |
| 0.647891 | 1.389938 |
| 0.649381 | 1.389916 |
| 0.650874 | 1.389893 |
| 0.65237 | 1.389871 |
| 0.65387 | 1.389848 |
| 0.655373 | 1.389826 |
| 0.65688 | 1.389804 |
| 0.65839 | 1.389782 |
| 0.659904 | 1.38976 |
| 0.661421 | 1.389738 |
| 0.662942 | 1.389716 |
| 0.664466 | 1.389694 |
| 0.665994 | 1.389673 |
| 0.667525 | 1.389651 |
| 0.66906 | 1.38963 |
| 0.670598 | 1.389608 |
| 0.67214 | 1.389587 |
| 0.673685 | 1.389565 |
| 0.675234 | 1.389544 |
| 0.676786 | 1.389523 |
| 0.678342 | 1.389502 |
| 0.679902 | 1.389481 |
| 0.681465 | 1.38946 |
| 0.683032 | 1.389439 |
| 0.684602 | 1.389418 |
| 0.686176 | 1.389397 |
| 0.687754 | 1.389377 |
| 0.689335 | 1.389356 |
| 0.69092 | 1.389336 |
| 0.692508 | 1.389315 |
| 0.694101 | 1.389295 |
| 0.695696 | 1.389274 |
| 0.697296 | 1.389254 |
| 0.698899 | 1.389234 |
| 0.700506 | 1.389214 |
| 0.702116 | 1.389194 |
| 0.703731 | 1.389174 |
| 0.705349 | 1.389154 |
| 0.70697 | 1.389134 |
| 0.708596 | 1.389114 |
| 0.710225 | 1.389094 |
| 0.711858 | 1.389075 |
| 0.713494 | 1.389055 |
| 0.715135 | 1.389036 |
| 0.716779 | 1.389016 |
| 0.718427 | 1.388997 |
| 0.720079 | 1.388977 |
| 0.721734 | 1.388958 |
| 0.723393 | 1.388939 |
| 0.725057 | 1.38892 |
| 0.726724 | 1.3889 |
| 0.728394 | 1.388881 |
| 0.730069 | 1.388862 |
| 0.731748 | 1.388843 |
| 0.73343 | 1.388825 |
| 0.735116 | 1.388806 |
| 0.736806 | 1.388787 |
| 0.7385 | 1.388768 |
| 0.740198 | 1.38875 |
| 0.7419 | 1.388731 |
| 0.743606 | 1.388712 |
| 0.745315 | 1.388694 |
| 0.747029 | 1.388676 |
| 0.748746 | 1.388657 |
| 0.750468 | 1.388639 |
| 0.752193 | 1.388621 |
| 0.753923 | 1.388602 |
| 0.755656 | 1.388584 |
| 0.757393 | 1.388566 |
| 0.759135 | 1.388548 |
| 0.76088 | 1.38853 |
| 0.762629 | 1.388512 |
| 0.764383 | 1.388494 |
| 0.76614 | 1.388476 |
| 0.767901 | 1.388458 |
| 0.769667 | 1.388441 |
| 0.771437 | 1.388423 |
| 0.77321 | 1.388405 |
| 0.774988 | 1.388388 |
| 0.77677 | 1.38837 |
| 0.778555 | 1.388353 |
| 0.780345 | 1.388335 |
| 0.78214 | 1.388318 |
| 0.783938 | 1.3883 |
| 0.78574 | 1.388283 |
| 0.787547 | 1.388266 |
| 0.789357 | 1.388248 |
| 0.791172 | 1.388231 |
| 0.792991 | 1.388214 |
| 0.794814 | 1.388197 |
| 0.796642 | 1.38818 |
| 0.798473 | 1.388163 |
| 0.800309 | 1.388146 |
| 0.802149 | 1.388129 |
| 0.803993 | 1.388112 |
| 0.805842 | 1.388095 |
| 0.807694 | 1.388078 |
| 0.809551 | 1.388062 |
| 0.811413 | 1.388045 |
| 0.813278 | 1.388028 |
| 0.815148 | 1.388011 |
| 0.817022 | 1.387995 |
| 0.8189 | 1.387978 |
| 0.820783 | 1.387962 |
| 0.82267 | 1.387945 |
| 0.824562 | 1.387929 |
| 0.826457 | 1.387912 |
| 0.828358 | 1.387896 |
| 0.830262 | 1.38788 |
| 0.832171 | 1.387863 |
| 0.834084 | 1.387847 |
| 0.836002 | 1.387831 |
| 0.837924 | 1.387815 |
| 0.83985 | 1.387798 |
| 0.841781 | 1.387782 |
| 0.843717 | 1.387766 |
| 0.845656 | 1.38775 |
| 0.847601 | 1.387734 |
| 0.849549 | 1.387718 |
| 0.851503 | 1.387702 |
| 0.85346 | 1.387686 |
| 0.855422 | 1.38767 |
| 0.857389 | 1.387654 |
| 0.85936 | 1.387639 |
| 0.861336 | 1.387623 |
| 0.863316 | 1.387607 |
| 0.865301 | 1.387591 |
| 0.867291 | 1.387576 |
| 0.869285 | 1.38756 |
| 0.871283 | 1.387544 |
| 0.873286 | 1.387529 |
| 0.875294 | 1.387513 |
| 0.877307 | 1.387498 |
| 0.879324 | 1.387482 |
| 0.881345 | 1.387466 |
| 0.883372 | 1.387451 |
| 0.885403 | 1.387436 |
| 0.887438 | 1.38742 |
| 0.889479 | 1.387405 |
| 0.891524 | 1.387389 |
| 0.893573 | 1.387374 |
| 0.895628 | 1.387359 |
| 0.897687 | 1.387343 |
| 0.899751 | 1.387328 |
| 0.901819 | 1.387313 |
| 0.903893 | 1.387298 |
| 0.905971 | 1.387282 |
| 0.908054 | 1.387267 |
| 0.910142 | 1.387252 |
| 0.912234 | 1.387237 |
| 0.914331 | 1.387222 |
| 0.916433 | 1.387207 |
| 0.91854 | 1.387192 |
| 0.920652 | 1.387177 |
| 0.922769 | 1.387162 |
| 0.924891 | 1.387147 |
| 0.927017 | 1.387132 |
| 0.929148 | 1.387117 |
| 0.931284 | 1.387102 |
| 0.933426 | 1.387087 |
| 0.935572 | 1.387072 |
| 0.937723 | 1.387057 |
| 0.939879 | 1.387042 |
| 0.942039 | 1.387028 |
| 0.944205 | 1.387013 |
| 0.946376 | 1.386998 |
| 0.948552 | 1.386983 |
| 0.950733 | 1.386968 |
| 0.952919 | 1.386954 |
| 0.955109 | 1.386939 |
| 0.957305 | 1.386924 |
| 0.959506 | 1.386909 |
| 0.961712 | 1.386895 |
| 0.963923 | 1.38688 |
| 0.96614 | 1.386865 |
| 0.968361 | 1.386851 |
| 0.970587 | 1.386836 |
| 0.972819 | 1.386822 |
| 0.975055 | 1.386807 |
| 0.977297 | 1.386792 |
| 0.979544 | 1.386778 |
| 0.981796 | 1.386763 |
| 0.984053 | 1.386749 |
| 0.986316 | 1.386734 |
| 0.988583 | 1.38672 |
| 0.990856 | 1.386705 |
| 0.993134 | 1.386691 |
| 0.995418 | 1.386676 |
| 0.997706 | 1.386662 |
| 1 | 1.386647 |
Optical transmission calculator
Free-standing sample in vacuum, normal incidence- Transmittance T
- —
- Reflectance R
- —
Fresnel reflection calculator
- Rp
- —
- Rs
- —
- R = (Rp+Rs)/2
- —
- Phase φp
- —
- Phase φs
- —
- Brewster angle θB
- —
- Critical angle θC
- —
26 °C. Extraordinary ray (e).