Optical constants
Refractive index of Al2O3 (Aluminium sesquioxide, Sapphire, Alumina)
Boidin et al. 2016: n 0.3–18 µm
- Data
- tabulated n
- Range
- 0.3–18 µm
- Points
- 424
- State
- amorphous
- Licence
- CC0-1.0
Plot
Click the plot to set the calculator wavelength.
At one wavelength
- Refractive index n
- 1.67983
- Extinction coefficient k
- 0
- Permittivity ε1
- 2.82185
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- —
- Chromatic dispersion dn/dλ
- -0.0625 µm⁻¹
- Group index ng
- 1.71656
- Group velocity dispersion
- — fs²/mm
- Dispersion parameter D
- — 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
# Al2O3 (Aluminium sesquioxide, Sapphire, Alumina): Boidin et al. 2016: n 0.3–18 µm
al2o3 = ls.fetch_refractiveindex("main", "Al2O3", "Boidin", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(al2o3.range_nm) # (300, 18003) nm
eps = al2o3.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_e73e6ed8d961/lightsmith"
al2o3 = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(al2o3.source) # citation and provenance travel with the data
Any dataset here, as the library's Tabulated material (al2o3/boidin-2016).
# ... load al2o3 as above, then:
sim = ls.Simulation(
particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=al2o3)],
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.
Comments and conditions
References
- doi:10.1016/j.ceramint.2015.09.048 Pulsed laser deposited alumina thin films, Ceramics International (2016)
Cite
Rémi Boidin, Tomáš Halenkovič, Virginie Nazabal, Ludvík Beneš and Petr Němec. Pulsed laser deposited alumina thin films. Ceramics International, 42, 1177-1182 (2016), doi:10.1016/j.ceramint.2015.09.048; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)
Data
424 rows as published| λ (µm) | n |
|---|---|
| 0.3 | 1.73756 |
| 0.32 | 1.72717 |
| 0.34 | 1.71886 |
| 0.36 | 1.7121 |
| 0.38 | 1.70652 |
| 0.4 | 1.70185 |
| 0.42 | 1.69791 |
| 0.44 | 1.69454 |
| 0.46 | 1.69164 |
| 0.48 | 1.68912 |
| 0.5 | 1.68691 |
| 0.52 | 1.68496 |
| 0.54 | 1.68324 |
| 0.56 | 1.68169 |
| 0.58 | 1.68031 |
| 0.6 | 1.67906 |
| 0.62 | 1.67792 |
| 0.64 | 1.67689 |
| 0.66 | 1.67594 |
| 0.68 | 1.67507 |
| 0.7 | 1.67427 |
| 0.72 | 1.67353 |
| 0.74 | 1.67283 |
| 0.76 | 1.67219 |
| 0.78 | 1.67158 |
| 0.8 | 1.67101 |
| 0.82 | 1.67047 |
| 0.84 | 1.66996 |
| 0.86 | 1.66948 |
| 0.88 | 1.66902 |
| 0.9 | 1.66858 |
| 0.92 | 1.66816 |
| 0.94 | 1.66776 |
| 0.96 | 1.66737 |
| 0.98 | 1.66699 |
| 1.0 | 1.66663 |
| 1.02 | 1.66628 |
| 1.04 | 1.66594 |
| 1.06 | 1.66561 |
| 1.08 | 1.66528 |
| 1.1 | 1.66496 |
| 1.12 | 1.66465 |
| 1.14 | 1.66435 |
| 1.16 | 1.66405 |
| 1.18 | 1.66376 |
| 1.2 | 1.66347 |
| 1.22 | 1.66318 |
| 1.24 | 1.6629 |
| 1.26 | 1.66262 |
| 1.28 | 1.66234 |
| 1.3 | 1.66207 |
| 1.32 | 1.6618 |
| 1.34 | 1.66152 |
| 1.36 | 1.66125 |
| 1.38 | 1.66099 |
| 1.4 | 1.66072 |
| 1.42 | 1.66045 |
| 1.44 | 1.66019 |
| 1.46 | 1.65992 |
| 1.48 | 1.65965 |
| 1.5 | 1.65939 |
| 1.52 | 1.65912 |
| 1.54 | 1.65886 |
| 1.56 | 1.65859 |
| 1.58 | 1.65832 |
| 1.6 | 1.65805 |
| 1.62 | 1.65778 |
| 1.64 | 1.65751 |
| 1.66 | 1.65724 |
| 1.68 | 1.65697 |
| 1.7 | 1.6567 |
| 1.72 | 1.65642 |
| 1.74 | 1.65615 |
| 1.76 | 1.65587 |
| 1.78 | 1.65559 |
| 1.8 | 1.65531 |
| 1.82 | 1.65503 |
| 1.84 | 1.65475 |
| 1.86 | 1.65446 |
| 1.88 | 1.65418 |
| 1.9 | 1.65389 |
| 1.92 | 1.6536 |
| 1.94 | 1.6533 |
| 1.96 | 1.65301 |
| 1.98 | 1.65271 |
| 2.0 | 1.65241 |
| 2.02 | 1.65211 |
| 2.04 | 1.65181 |
| 2.06 | 1.6515 |
| 2.08 | 1.6512 |
| 2.1 | 1.65089 |
| 2.12 | 1.65057 |
| 2.14 | 1.65026 |
| 2.16 | 1.64994 |
| 2.18 | 1.64962 |
| 2.2 | 1.6493 |
| 2.22 | 1.64898 |
| 2.24 | 1.64865 |
| 2.26 | 1.64832 |
| 2.28 | 1.64799 |
| 2.3 | 1.64765 |
| 2.3188 | 1.64733 |
| 2.3398 | 1.64698 |
| 2.3568 | 1.64669 |
| 2.3784 | 1.64632 |
| 2.396 | 1.64601 |
| 2.4183 | 1.64562 |
| 2.4365 | 1.6453 |
| 2.4596 | 1.64489 |
| 2.4784 | 1.64455 |
| 2.4975 | 1.6442 |
| 2.5169 | 1.64385 |
| 2.5366 | 1.64349 |
| 2.5567 | 1.64312 |
| 2.577 | 1.64274 |
| 2.5976 | 1.64235 |
| 2.6186 | 1.64195 |
| 2.64 | 1.64155 |
| 2.6562 | 1.64123 |
| 2.6782 | 1.64081 |
| 2.6949 | 1.64048 |
| 2.7175 | 1.64004 |
| 2.7347 | 1.6397 |
| 2.7579 | 1.63923 |
| 2.7756 | 1.63887 |
| 2.7996 | 1.63839 |
| 2.8179 | 1.63801 |
| 2.8364 | 1.63763 |
| 2.8551 | 1.63724 |
| 2.8741 | 1.63685 |
| 2.8998 | 1.6363 |
| 2.9194 | 1.63589 |
| 2.9393 | 1.63546 |
| 2.9594 | 1.63503 |
| 2.9798 | 1.63458 |
| 2.9936 | 1.63428 |
| 3.0145 | 1.63382 |
| 3.0357 | 1.63335 |
| 3.0571 | 1.63287 |
| 3.0789 | 1.63238 |
| 3.0936 | 1.63205 |
| 3.1159 | 1.63153 |
| 3.1386 | 1.63101 |
| 3.1538 | 1.63066 |
| 3.177 | 1.63012 |
| 3.1927 | 1.62975 |
| 3.2164 | 1.62918 |
| 3.2325 | 1.6288 |
| 3.2569 | 1.62821 |
| 3.2733 | 1.62781 |
| 3.2983 | 1.6272 |
| 3.3152 | 1.62679 |
| 3.3322 | 1.62636 |
| 3.3581 | 1.62572 |
| 3.3756 | 1.62528 |
| 3.3933 | 1.62483 |
| 3.4111 | 1.62437 |
| 3.4383 | 1.62368 |
| 3.4566 | 1.6232 |
| 3.4751 | 1.62272 |
| 3.4939 | 1.62223 |
| 3.5128 | 1.62172 |
| 3.532 | 1.62122 |
| 3.5513 | 1.6207 |
| 3.5709 | 1.62017 |
| 3.5907 | 1.61963 |
| 3.6107 | 1.61908 |
| 3.6309 | 1.61853 |
| 3.6513 | 1.61796 |
| 3.672 | 1.61738 |
| 3.693 | 1.61679 |
| 3.7141 | 1.61619 |
| 3.7355 | 1.61558 |
| 3.7572 | 1.61496 |
| 3.7791 | 1.61432 |
| 3.7901 | 1.614 |
| 3.8124 | 1.61335 |
| 3.835 | 1.61268 |
| 3.8578 | 1.612 |
| 3.8693 | 1.61165 |
| 3.8926 | 1.61095 |
| 3.9161 | 1.61024 |
| 3.9399 | 1.60951 |
| 3.9519 | 1.60914 |
| 3.9762 | 1.60839 |
| 3.9884 | 1.608 |
| 4.0131 | 1.60723 |
| 4.0381 | 1.60644 |
| 4.0507 | 1.60603 |
| 4.0762 | 1.60522 |
| 4.089 | 1.6048 |
| 4.115 | 1.60396 |
| 4.1281 | 1.60353 |
| 4.1546 | 1.60266 |
| 4.1679 | 1.60221 |
| 4.1949 | 1.60131 |
| 4.2085 | 1.60086 |
| 4.236 | 1.59992 |
| 4.2499 | 1.59945 |
| 4.278 | 1.59849 |
| 4.2921 | 1.598 |
| 4.3064 | 1.5975 |
| 4.3352 | 1.59649 |
| 4.3498 | 1.59598 |
| 4.3791 | 1.59494 |
| 4.394 | 1.59441 |
| 4.4089 | 1.59387 |
| 4.4391 | 1.59278 |
| 4.4544 | 1.59222 |
| 4.4697 | 1.59166 |
| 4.4852 | 1.59109 |
| 4.5165 | 1.58993 |
| 4.5323 | 1.58933 |
| 4.5482 | 1.58874 |
| 4.5642 | 1.58813 |
| 4.5965 | 1.5869 |
| 4.6129 | 1.58627 |
| 4.6294 | 1.58563 |
| 4.646 | 1.58498 |
| 4.6795 | 1.58367 |
| 4.6965 | 1.583 |
| 4.7136 | 1.58232 |
| 4.7308 | 1.58163 |
| 4.7481 | 1.58093 |
| 4.7655 | 1.58023 |
| 4.7831 | 1.57951 |
| 4.8187 | 1.57805 |
| 4.8367 | 1.57731 |
| 4.8548 | 1.57655 |
| 4.873 | 1.57579 |
| 4.8914 | 1.57501 |
| 4.91 | 1.57423 |
| 4.9286 | 1.57343 |
| 4.9474 | 1.57262 |
| 4.9664 | 1.5718 |
| 4.9855 | 1.57097 |
| 5.0047 | 1.57013 |
| 5.0241 | 1.56928 |
| 5.0437 | 1.56841 |
| 5.0634 | 1.56753 |
| 5.0832 | 1.56664 |
| 5.1033 | 1.56573 |
| 5.1234 | 1.56482 |
| 5.1438 | 1.56388 |
| 5.1643 | 1.56294 |
| 5.1849 | 1.56198 |
| 5.2057 | 1.561 |
| 5.2267 | 1.56002 |
| 5.2479 | 1.55901 |
| 5.2692 | 1.55799 |
| 5.2907 | 1.55696 |
| 5.3124 | 1.55591 |
| 5.3343 | 1.55484 |
| 5.3563 | 1.55375 |
| 5.3785 | 1.55265 |
| 5.4009 | 1.55153 |
| 5.4235 | 1.5504 |
| 5.4463 | 1.54924 |
| 5.4693 | 1.54807 |
| 5.4925 | 1.54687 |
| 5.5159 | 1.54566 |
| 5.5394 | 1.54443 |
| 5.5632 | 1.54317 |
| 5.5872 | 1.5419 |
| 5.6114 | 1.5406 |
| 5.6358 | 1.53928 |
| 5.6604 | 1.53794 |
| 5.6852 | 1.53657 |
| 5.7103 | 1.53518 |
| 5.7355 | 1.53377 |
| 5.761 | 1.53233 |
| 5.7867 | 1.53087 |
| 5.8127 | 1.52937 |
| 5.8389 | 1.52786 |
| 5.8653 | 1.52631 |
| 5.8919 | 1.52473 |
| 5.9188 | 1.52313 |
| 5.946 | 1.5215 |
| 5.9734 | 1.51983 |
| 6.0011 | 1.51813 |
| 6.029 | 1.5164 |
| 6.0571 | 1.51464 |
| 6.0856 | 1.51284 |
| 6.1143 | 1.511 |
| 6.1433 | 1.50913 |
| 6.1725 | 1.50722 |
| 6.202 | 1.50527 |
| 6.2319 | 1.50329 |
| 6.262 | 1.50126 |
| 6.2924 | 1.49918 |
| 6.3231 | 1.49707 |
| 6.3541 | 1.4949 |
| 6.3854 | 1.4927 |
| 6.417 | 1.49044 |
| 6.4489 | 1.48813 |
| 6.4811 | 1.48577 |
| 6.5137 | 1.48336 |
| 6.5466 | 1.48089 |
| 6.5798 | 1.47837 |
| 6.6134 | 1.47579 |
| 6.6473 | 1.47315 |
| 6.6816 | 1.47044 |
| 6.7162 | 1.46767 |
| 6.7512 | 1.46483 |
| 6.7865 | 1.46192 |
| 6.8223 | 1.45894 |
| 6.8583 | 1.45589 |
| 6.8948 | 1.45276 |
| 6.9317 | 1.44954 |
| 6.969 | 1.44625 |
| 7.0066 | 1.44286 |
| 7.0447 | 1.43939 |
| 7.0832 | 1.43582 |
| 7.1221 | 1.43216 |
| 7.1615 | 1.42839 |
| 7.2013 | 1.42452 |
| 7.2415 | 1.42054 |
| 7.2822 | 1.41644 |
| 7.3233 | 1.41223 |
| 7.3649 | 1.40789 |
| 7.407 | 1.40342 |
| 7.4496 | 1.39882 |
| 7.4926 | 1.39408 |
| 7.5362 | 1.38919 |
| 7.5803 | 1.38414 |
| 7.6249 | 1.37893 |
| 7.67 | 1.37356 |
| 7.7156 | 1.36801 |
| 7.7618 | 1.36227 |
| 7.8086 | 1.35634 |
| 7.8559 | 1.35021 |
| 7.9038 | 1.34386 |
| 7.9523 | 1.33728 |
| 8.0014 | 1.33047 |
| 8.0511 | 1.3234 |
| 8.1014 | 1.31607 |
| 8.1524 | 1.30846 |
| 8.204 | 1.30055 |
| 8.2562 | 1.29233 |
| 8.3091 | 1.28377 |
| 8.3628 | 1.27485 |
| 8.4171 | 1.26556 |
| 8.4721 | 1.25586 |
| 8.5278 | 1.24573 |
| 8.5843 | 1.23514 |
| 8.6415 | 1.22405 |
| 8.6995 | 1.21243 |
| 8.7583 | 1.20023 |
| 8.8179 | 1.18742 |
| 8.8783 | 1.17394 |
| 8.9395 | 1.15975 |
| 9.0016 | 1.14477 |
| 9.0645 | 1.12895 |
| 9.1284 | 1.11222 |
| 9.1931 | 1.0945 |
| 9.2588 | 1.0757 |
| 9.3254 | 1.05574 |
| 9.393 | 1.03453 |
| 9.4615 | 1.01195 |
| 9.5311 | 0.98791 |
| 9.6017 | 0.9623 |
| 9.6733 | 0.93501 |
| 9.7461 | 0.90598 |
| 9.8199 | 0.87515 |
| 9.8949 | 0.84254 |
| 9.971 | 0.80828 |
| 10.048 | 0.77268 |
| 10.127 | 0.73636 |
| 10.207 | 0.70035 |
| 10.288 | 0.66616 |
| 10.37 | 0.63567 |
| 10.453 | 0.6108 |
| 10.538 | 0.59289 |
| 10.625 | 0.58242 |
| 10.713 | 0.57913 |
| 10.802 | 0.58231 |
| 10.893 | 0.59116 |
| 10.985 | 0.60493 |
| 11.079 | 0.62301 |
| 11.174 | 0.64491 |
| 11.272 | 0.67024 |
| 11.37 | 0.6987 |
| 11.471 | 0.73004 |
| 11.573 | 0.76407 |
| 11.678 | 0.8006 |
| 11.784 | 0.83946 |
| 11.892 | 0.88053 |
| 12.002 | 0.92365 |
| 12.114 | 0.96867 |
| 12.229 | 1.01545 |
| 12.345 | 1.06385 |
| 12.464 | 1.11369 |
| 12.585 | 1.16482 |
| 12.708 | 1.21708 |
| 12.834 | 1.27028 |
| 12.962 | 1.32423 |
| 13.093 | 1.37875 |
| 13.227 | 1.43366 |
| 13.363 | 1.48873 |
| 13.502 | 1.54378 |
| 13.645 | 1.5986 |
| 13.79 | 1.65299 |
| 13.938 | 1.70675 |
| 14.089 | 1.75969 |
| 14.244 | 1.81159 |
| 14.403 | 1.86229 |
| 14.564 | 1.91161 |
| 14.73 | 1.95938 |
| 14.899 | 2.00542 |
| 15.072 | 2.04962 |
| 15.25 | 2.09184 |
| 15.431 | 2.13195 |
| 15.617 | 2.16987 |
| 15.808 | 2.20551 |
| 16.003 | 2.23881 |
| 16.203 | 2.26973 |
| 16.408 | 2.29825 |
| 16.618 | 2.32436 |
| 16.834 | 2.34808 |
| 17.056 | 2.36943 |
| 17.283 | 2.38848 |
| 17.517 | 2.4053 |
| 17.757 | 2.41997 |
| 18.003 | 2.43259 |
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
- —
Thin films of amorphous alumina were fabricated using pulsed laser deposition in vacuum.
Influence of deposition parameters, specifically deposition time under vacuum and partial pressure of argon, is discussed in the original publication.