Optical constants
Refractive index of LiCaAlF6 (Lithium calcium aluminum fluoride, LiCAF)
Woods et al. 1991: n(o) 0.4–1.0 µm
- Data
- formula 4
- Range
- 0.4–1 µm
- Temperature
- 299 K
- Optical axis
- o
- Licence
- CC0-1.0
Uniaxial crystal, axes: oe
Plot
Click the plot to set the calculator wavelength.
At one wavelength
- Refractive index n
- 1.39232
- Extinction coefficient k
- 0
- Permittivity ε1
- 1.93855
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- 103.37
- Chromatic dispersion dn/dλ
- -0.0197826 µm⁻¹
- Group index ng
- 1.40394
- Group velocity dispersion
- 32.5782 fs²/mm
- Dispersion parameter D
- -177.731 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(o) 0.4–1.0 µm
licaalf6 = ls.fetch_refractiveindex("main", "LiCaAlF6", "Woods-o", 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_29c57ea069e7/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-o).
# ... 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 | 1.92552 |
| C2 | 0.00492 |
| C3 | 0.0 |
| C4 | 0.00569 |
| C5 | 1.0 |
| C6 | 0.0 |
| C7 | 0.0 |
| C8 | 0.0 |
| C9 | 1.0 |
| C10 | -0.00421 |
| C11 | 2.0 |
Comments and conditions
Conditions
- temperature
- 299 K
- direction
- o
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 | 1.398832 |
| 0.40092 | 1.398777 |
| 0.401841 | 1.398722 |
| 0.402765 | 1.398667 |
| 0.403691 | 1.398612 |
| 0.404619 | 1.398558 |
| 0.40555 | 1.398504 |
| 0.406482 | 1.39845 |
| 0.407417 | 1.398397 |
| 0.408353 | 1.398344 |
| 0.409292 | 1.398291 |
| 0.410233 | 1.398238 |
| 0.411176 | 1.398186 |
| 0.412122 | 1.398133 |
| 0.413069 | 1.398081 |
| 0.414019 | 1.39803 |
| 0.414971 | 1.397978 |
| 0.415925 | 1.397927 |
| 0.416881 | 1.397876 |
| 0.41784 | 1.397825 |
| 0.4188 | 1.397774 |
| 0.419763 | 1.397724 |
| 0.420728 | 1.397674 |
| 0.421695 | 1.397624 |
| 0.422665 | 1.397575 |
| 0.423637 | 1.397525 |
| 0.424611 | 1.397476 |
| 0.425587 | 1.397427 |
| 0.426565 | 1.397378 |
| 0.427546 | 1.39733 |
| 0.428529 | 1.397281 |
| 0.429514 | 1.397233 |
| 0.430502 | 1.397186 |
| 0.431492 | 1.397138 |
| 0.432484 | 1.397091 |
| 0.433478 | 1.397043 |
| 0.434475 | 1.396996 |
| 0.435473 | 1.39695 |
| 0.436475 | 1.396903 |
| 0.437478 | 1.396857 |
| 0.438484 | 1.396811 |
| 0.439492 | 1.396765 |
| 0.440503 | 1.396719 |
| 0.441515 | 1.396674 |
| 0.44253 | 1.396628 |
| 0.443548 | 1.396583 |
| 0.444568 | 1.396538 |
| 0.44559 | 1.396494 |
| 0.446614 | 1.396449 |
| 0.447641 | 1.396405 |
| 0.44867 | 1.396361 |
| 0.449702 | 1.396317 |
| 0.450736 | 1.396273 |
| 0.451772 | 1.39623 |
| 0.452811 | 1.396187 |
| 0.453852 | 1.396144 |
| 0.454895 | 1.396101 |
| 0.455941 | 1.396058 |
| 0.456989 | 1.396016 |
| 0.45804 | 1.395973 |
| 0.459093 | 1.395931 |
| 0.460148 | 1.395889 |
| 0.461206 | 1.395847 |
| 0.462267 | 1.395806 |
| 0.46333 | 1.395765 |
| 0.464395 | 1.395723 |
| 0.465462 | 1.395682 |
| 0.466533 | 1.395642 |
| 0.467605 | 1.395601 |
| 0.46868 | 1.39556 |
| 0.469758 | 1.39552 |
| 0.470838 | 1.39548 |
| 0.47192 | 1.39544 |
| 0.473005 | 1.3954 |
| 0.474093 | 1.395361 |
| 0.475183 | 1.395321 |
| 0.476275 | 1.395282 |
| 0.47737 | 1.395243 |
| 0.478468 | 1.395204 |
| 0.479568 | 1.395166 |
| 0.48067 | 1.395127 |
| 0.481776 | 1.395089 |
| 0.482883 | 1.395051 |
| 0.483993 | 1.395013 |
| 0.485106 | 1.394975 |
| 0.486222 | 1.394937 |
| 0.487339 | 1.394899 |
| 0.48846 | 1.394862 |
| 0.489583 | 1.394825 |
| 0.490708 | 1.394788 |
| 0.491837 | 1.394751 |
| 0.492967 | 1.394714 |
| 0.494101 | 1.394678 |
| 0.495237 | 1.394641 |
| 0.496375 | 1.394605 |
| 0.497517 | 1.394569 |
| 0.49866 | 1.394533 |
| 0.499807 | 1.394497 |
| 0.500956 | 1.394462 |
| 0.502108 | 1.394426 |
| 0.503262 | 1.394391 |
| 0.504419 | 1.394356 |
| 0.505579 | 1.394321 |
| 0.506741 | 1.394286 |
| 0.507906 | 1.394251 |
| 0.509074 | 1.394217 |
| 0.510245 | 1.394182 |
| 0.511418 | 1.394148 |
| 0.512593 | 1.394114 |
| 0.513772 | 1.39408 |
| 0.514953 | 1.394046 |
| 0.516137 | 1.394012 |
| 0.517324 | 1.393979 |
| 0.518513 | 1.393945 |
| 0.519705 | 1.393912 |
| 0.5209 | 1.393879 |
| 0.522098 | 1.393846 |
| 0.523298 | 1.393813 |
| 0.524501 | 1.39378 |
| 0.525707 | 1.393748 |
| 0.526916 | 1.393715 |
| 0.528127 | 1.393683 |
| 0.529341 | 1.393651 |
| 0.530558 | 1.393619 |
| 0.531778 | 1.393587 |
| 0.533001 | 1.393555 |
| 0.534226 | 1.393524 |
| 0.535455 | 1.393492 |
| 0.536686 | 1.393461 |
| 0.537919 | 1.39343 |
| 0.539156 | 1.393399 |
| 0.540396 | 1.393368 |
| 0.541638 | 1.393337 |
| 0.542884 | 1.393306 |
| 0.544132 | 1.393275 |
| 0.545383 | 1.393245 |
| 0.546637 | 1.393215 |
| 0.547893 | 1.393184 |
| 0.549153 | 1.393154 |
| 0.550416 | 1.393124 |
| 0.551681 | 1.393094 |
| 0.552949 | 1.393065 |
| 0.554221 | 1.393035 |
| 0.555495 | 1.393006 |
| 0.556772 | 1.392976 |
| 0.558052 | 1.392947 |
| 0.559335 | 1.392918 |
| 0.560621 | 1.392889 |
| 0.56191 | 1.39286 |
| 0.563202 | 1.392831 |
| 0.564497 | 1.392803 |
| 0.565795 | 1.392774 |
| 0.567095 | 1.392746 |
| 0.568399 | 1.392717 |
| 0.569706 | 1.392689 |
| 0.571016 | 1.392661 |
| 0.572329 | 1.392633 |
| 0.573645 | 1.392605 |
| 0.574963 | 1.392577 |
| 0.576285 | 1.39255 |
| 0.57761 | 1.392522 |
| 0.578938 | 1.392495 |
| 0.580269 | 1.392467 |
| 0.581603 | 1.39244 |
| 0.582941 | 1.392413 |
| 0.584281 | 1.392386 |
| 0.585624 | 1.392359 |
| 0.586971 | 1.392332 |
| 0.58832 | 1.392306 |
| 0.589673 | 1.392279 |
| 0.591028 | 1.392253 |
| 0.592387 | 1.392226 |
| 0.593749 | 1.3922 |
| 0.595114 | 1.392174 |
| 0.596483 | 1.392148 |
| 0.597854 | 1.392122 |
| 0.599228 | 1.392096 |
| 0.600606 | 1.39207 |
| 0.601987 | 1.392044 |
| 0.603371 | 1.392019 |
| 0.604758 | 1.391993 |
| 0.606149 | 1.391968 |
| 0.607542 | 1.391943 |
| 0.608939 | 1.391917 |
| 0.610339 | 1.391892 |
| 0.611742 | 1.391867 |
| 0.613149 | 1.391842 |
| 0.614558 | 1.391818 |
| 0.615971 | 1.391793 |
| 0.617388 | 1.391768 |
| 0.618807 | 1.391744 |
| 0.62023 | 1.391719 |
| 0.621656 | 1.391695 |
| 0.623085 | 1.39167 |
| 0.624517 | 1.391646 |
| 0.625953 | 1.391622 |
| 0.627392 | 1.391598 |
| 0.628835 | 1.391574 |
| 0.630281 | 1.39155 |
| 0.63173 | 1.391527 |
| 0.633182 | 1.391503 |
| 0.634638 | 1.391479 |
| 0.636097 | 1.391456 |
| 0.637559 | 1.391433 |
| 0.639025 | 1.391409 |
| 0.640494 | 1.391386 |
| 0.641967 | 1.391363 |
| 0.643443 | 1.39134 |
| 0.644922 | 1.391317 |
| 0.646405 | 1.391294 |
| 0.647891 | 1.391271 |
| 0.649381 | 1.391248 |
| 0.650874 | 1.391225 |
| 0.65237 | 1.391203 |
| 0.65387 | 1.39118 |
| 0.655373 | 1.391158 |
| 0.65688 | 1.391136 |
| 0.65839 | 1.391113 |
| 0.659904 | 1.391091 |
| 0.661421 | 1.391069 |
| 0.662942 | 1.391047 |
| 0.664466 | 1.391025 |
| 0.665994 | 1.391003 |
| 0.667525 | 1.390981 |
| 0.66906 | 1.390959 |
| 0.670598 | 1.390938 |
| 0.67214 | 1.390916 |
| 0.673685 | 1.390894 |
| 0.675234 | 1.390873 |
| 0.676786 | 1.390852 |
| 0.678342 | 1.39083 |
| 0.679902 | 1.390809 |
| 0.681465 | 1.390788 |
| 0.683032 | 1.390767 |
| 0.684602 | 1.390746 |
| 0.686176 | 1.390725 |
| 0.687754 | 1.390704 |
| 0.689335 | 1.390683 |
| 0.69092 | 1.390662 |
| 0.692508 | 1.390641 |
| 0.694101 | 1.390621 |
| 0.695696 | 1.3906 |
| 0.697296 | 1.39058 |
| 0.698899 | 1.390559 |
| 0.700506 | 1.390539 |
| 0.702116 | 1.390518 |
| 0.703731 | 1.390498 |
| 0.705349 | 1.390478 |
| 0.70697 | 1.390458 |
| 0.708596 | 1.390438 |
| 0.710225 | 1.390418 |
| 0.711858 | 1.390398 |
| 0.713494 | 1.390378 |
| 0.715135 | 1.390358 |
| 0.716779 | 1.390338 |
| 0.718427 | 1.390319 |
| 0.720079 | 1.390299 |
| 0.721734 | 1.390279 |
| 0.723393 | 1.39026 |
| 0.725057 | 1.39024 |
| 0.726724 | 1.390221 |
| 0.728394 | 1.390201 |
| 0.730069 | 1.390182 |
| 0.731748 | 1.390163 |
| 0.73343 | 1.390144 |
| 0.735116 | 1.390125 |
| 0.736806 | 1.390105 |
| 0.7385 | 1.390086 |
| 0.740198 | 1.390067 |
| 0.7419 | 1.390048 |
| 0.743606 | 1.39003 |
| 0.745315 | 1.390011 |
| 0.747029 | 1.389992 |
| 0.748746 | 1.389973 |
| 0.750468 | 1.389955 |
| 0.752193 | 1.389936 |
| 0.753923 | 1.389917 |
| 0.755656 | 1.389899 |
| 0.757393 | 1.38988 |
| 0.759135 | 1.389862 |
| 0.76088 | 1.389844 |
| 0.762629 | 1.389825 |
| 0.764383 | 1.389807 |
| 0.76614 | 1.389789 |
| 0.767901 | 1.389771 |
| 0.769667 | 1.389752 |
| 0.771437 | 1.389734 |
| 0.77321 | 1.389716 |
| 0.774988 | 1.389698 |
| 0.77677 | 1.38968 |
| 0.778555 | 1.389662 |
| 0.780345 | 1.389645 |
| 0.78214 | 1.389627 |
| 0.783938 | 1.389609 |
| 0.78574 | 1.389591 |
| 0.787547 | 1.389574 |
| 0.789357 | 1.389556 |
| 0.791172 | 1.389538 |
| 0.792991 | 1.389521 |
| 0.794814 | 1.389503 |
| 0.796642 | 1.389486 |
| 0.798473 | 1.389468 |
| 0.800309 | 1.389451 |
| 0.802149 | 1.389434 |
| 0.803993 | 1.389416 |
| 0.805842 | 1.389399 |
| 0.807694 | 1.389382 |
| 0.809551 | 1.389365 |
| 0.811413 | 1.389347 |
| 0.813278 | 1.38933 |
| 0.815148 | 1.389313 |
| 0.817022 | 1.389296 |
| 0.8189 | 1.389279 |
| 0.820783 | 1.389262 |
| 0.82267 | 1.389245 |
| 0.824562 | 1.389228 |
| 0.826457 | 1.389211 |
| 0.828358 | 1.389194 |
| 0.830262 | 1.389178 |
| 0.832171 | 1.389161 |
| 0.834084 | 1.389144 |
| 0.836002 | 1.389127 |
| 0.837924 | 1.389111 |
| 0.83985 | 1.389094 |
| 0.841781 | 1.389078 |
| 0.843717 | 1.389061 |
| 0.845656 | 1.389044 |
| 0.847601 | 1.389028 |
| 0.849549 | 1.389011 |
| 0.851503 | 1.388995 |
| 0.85346 | 1.388978 |
| 0.855422 | 1.388962 |
| 0.857389 | 1.388946 |
| 0.85936 | 1.388929 |
| 0.861336 | 1.388913 |
| 0.863316 | 1.388897 |
| 0.865301 | 1.388881 |
| 0.867291 | 1.388864 |
| 0.869285 | 1.388848 |
| 0.871283 | 1.388832 |
| 0.873286 | 1.388816 |
| 0.875294 | 1.3888 |
| 0.877307 | 1.388784 |
| 0.879324 | 1.388767 |
| 0.881345 | 1.388751 |
| 0.883372 | 1.388735 |
| 0.885403 | 1.388719 |
| 0.887438 | 1.388703 |
| 0.889479 | 1.388687 |
| 0.891524 | 1.388672 |
| 0.893573 | 1.388656 |
| 0.895628 | 1.38864 |
| 0.897687 | 1.388624 |
| 0.899751 | 1.388608 |
| 0.901819 | 1.388592 |
| 0.903893 | 1.388576 |
| 0.905971 | 1.388561 |
| 0.908054 | 1.388545 |
| 0.910142 | 1.388529 |
| 0.912234 | 1.388513 |
| 0.914331 | 1.388498 |
| 0.916433 | 1.388482 |
| 0.91854 | 1.388466 |
| 0.920652 | 1.388451 |
| 0.922769 | 1.388435 |
| 0.924891 | 1.38842 |
| 0.927017 | 1.388404 |
| 0.929148 | 1.388388 |
| 0.931284 | 1.388373 |
| 0.933426 | 1.388357 |
| 0.935572 | 1.388342 |
| 0.937723 | 1.388326 |
| 0.939879 | 1.388311 |
| 0.942039 | 1.388295 |
| 0.944205 | 1.38828 |
| 0.946376 | 1.388264 |
| 0.948552 | 1.388249 |
| 0.950733 | 1.388233 |
| 0.952919 | 1.388218 |
| 0.955109 | 1.388203 |
| 0.957305 | 1.388187 |
| 0.959506 | 1.388172 |
| 0.961712 | 1.388157 |
| 0.963923 | 1.388141 |
| 0.96614 | 1.388126 |
| 0.968361 | 1.388111 |
| 0.970587 | 1.388095 |
| 0.972819 | 1.38808 |
| 0.975055 | 1.388065 |
| 0.977297 | 1.388049 |
| 0.979544 | 1.388034 |
| 0.981796 | 1.388019 |
| 0.984053 | 1.388004 |
| 0.986316 | 1.387988 |
| 0.988583 | 1.387973 |
| 0.990856 | 1.387958 |
| 0.993134 | 1.387943 |
| 0.995418 | 1.387927 |
| 0.997706 | 1.387912 |
| 1 | 1.387897 |
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. Ordinary ray (o).