Optical constants

Refractive index of Al2O3 (Aluminium sesquioxide, Sapphire, Alumina)

Rodríguez de Marcos et al. 2025: n,k 3.1e-6–993 µm

Data
tabulated nk
Range
3.102e-06–993.3 µm
Points
2997
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 3.102e-06–993.3 µm
Refractive index n
1.66977
Extinction coefficient k
0.000513577
Permittivity ε1
2.78813
Permittivity ε2
0.00171511
Absorption coefficient α
109.833 cm⁻¹
Penetration depth δ = λ/(2πk)
182094 nm
Abbe number Vd
—
Chromatic dispersion dn/dλ
-0.060288 µm⁻¹
Group index ng
1.7052
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): Rodríguez de Marcos et al. 2025: n,k 3.1e-6–993 µm
al2o3 = ls.fetch_refractiveindex("main", "Al2O3", "Rodriguez_de_Marcos", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(al2o3.range_nm)  # (0.00310152, 993324) nm
eps = al2o3.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.

Comments and conditions

The aluminum oxide films were deposited by plasma-enhanced atomic layer deposition (PEALD) onto Si and MgF2 substrates heated at 300 °C. Optical measurements (transmittance, reflectance, and ellipsometry) were performed over a very broad spectral range jointly covering from 58.4 nm to 43 μm. Using these measurements, along with suitable extrapolations, a Kramers-Kronig analysis procedure was applied to obtain a self-consistent set of optical properties that successfully reproduces the experimental data. Global and local self-consistency of the derived properties were satisfactorily evaluated through the application of sum rules.

Conditions

deposition temperature
573

References

L. V. Rodriguez de Marcos, M. Christophersen, M. F. Batkis, J. G. del Hoyo, J. Patel, E. J. Wollack, J. A. Christodoulides, J. I. Larruquert, M. A. Quijada. Self-consistent optical properties of PEALD-Al2O3 thin films. Opt. Express 7, 1750-1764 (2016) (Numerical data kindly provided by Luis Rodriguez de Marcos)
  • doi:10.1364/ome.562660 Self-consistent optical properties of PEALD-Al <sub>2</sub> O <sub>3</sub> thin films, Optical Materials Express (2025)

Cite

Luis V. Rodriguez de Marcos et al.. Self-consistent optical properties of PEALD-Al <sub>2</sub> O <sub>3</sub> thin films. Optical Materials Express, 15, 1750 (2025), doi:10.1364/ome.562660; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

2997 rows as published
Al2O3 (Aluminium sesquioxide, Sapphire, Alumina), Rodríguez de Marcos et al. 2025: n,k 3.1e-6–993 µm: n and k versus wavelength
λ (µm)nk
3.10152e-060.9999999952390938.93886e-12
3.12186e-060.9999999951794029.02444e-12
3.14233e-060.999999995117499.10947e-12
3.16294e-060.9999999950542829.19394e-12
3.18369e-060.9999999949900029.27787e-12
3.20457e-060.999999994924739.36124e-12
3.22558e-060.9999999948585029.44408e-12
3.24674e-060.9999999947913329.52637e-12
3.26803e-060.9999999947232219.60813e-12
3.28946e-060.9999999946541739.70052e-12
3.31104e-060.9999999945841879.79522e-12
3.33275e-060.9999999945132569.8893e-12
3.35461e-060.9999999944413719.98277e-12
3.37661e-060.9999999943685221.00756e-11
3.39875e-060.9999999942946991.01679e-11
3.42104e-060.9999999942198891.02595e-11
3.44348e-060.9999999941440821.03506e-11
3.46606e-060.9999999940672651.04411e-11
3.4888e-060.9999999939894241.05309e-11
3.51168e-060.9999999939105481.06292e-11
3.53471e-060.9999999938306291.07332e-11
3.55789e-060.9999999937496551.08365e-11
3.58122e-060.9999999936676111.09391e-11
3.60471e-060.9999999935844821.10411e-11
3.62835e-060.9999999935002551.11424e-11
3.65215e-060.9999999934149141.1243e-11
3.6761e-060.9999999933284441.1343e-11
3.70021e-060.9999999932408311.14423e-11
3.72448e-060.9999999931520581.1541e-11
3.7489e-060.999999993062111.16453e-11
3.77349e-060.9999999929709771.17593e-11
3.79824e-060.9999999928786471.18726e-11
3.82315e-060.99999999278511.19851e-11
3.84822e-060.9999999926903211.20969e-11
3.87346e-060.9999999925942921.22079e-11
3.89886e-060.9999999924969971.23182e-11
3.92443e-060.9999999923984191.24278e-11
3.95017e-060.9999999922985391.25367e-11
3.97608e-060.9999999921973411.26449e-11
4.00215e-060.9999999920948041.27556e-11
4.0284e-060.9999999919909181.28809e-11
4.05482e-060.9999999918856681.30054e-11
4.08141e-060.9999999917790341.31291e-11
4.10818e-060.9999999916709961.3252e-11
4.13512e-060.9999999915615361.33741e-11
4.16224e-060.9999999914506341.34954e-11
4.18954e-060.9999999913382711.36159e-11
4.21702e-060.9999999912244271.37357e-11
4.24467e-060.9999999911090811.38546e-11
4.27251e-060.9999999909922091.39728e-11
4.30053e-060.9999999908737991.41095e-11
4.32874e-060.9999999907538361.4246e-11
4.35713e-060.9999999906322961.43816e-11
4.3857e-060.9999999905091581.45164e-11
4.41447e-060.9999999903843991.46503e-11
4.44342e-060.9999999902579971.47833e-11
4.47256e-060.9999999901299311.49154e-11
4.50189e-060.9999999900001771.50467e-11
4.53142e-060.9999999898687121.51771e-11
4.56113e-060.9999999897355111.53066e-11
4.59105e-060.9999999896005551.54521e-11
4.62116e-060.9999999894638281.5602e-11
4.65147e-060.9999999893253051.57509e-11
4.68197e-060.9999999891849611.58988e-11
4.71268e-060.999999989042771.60457e-11
4.74358e-060.9999999888987081.61917e-11
4.77469e-060.9999999887527491.63368e-11
4.80601e-060.9999999886048671.64809e-11
4.83753e-060.9999999884550371.6624e-11
4.86925e-060.9999999883032281.67663e-11
4.90119e-060.9999999881494191.6921e-11
4.93333e-060.9999999879935891.70856e-11
4.96569e-060.9999999878357141.72492e-11
4.99825e-060.9999999876757641.74117e-11
5.03103e-060.9999999875137091.75732e-11
5.06403e-060.9999999873495221.77336e-11
5.09724e-060.9999999871831741.7893e-11
5.13067e-060.9999999870146351.80513e-11
5.16432e-060.9999999868438761.82086e-11
5.19819e-060.9999999866708641.83648e-11
5.23228e-060.999999986495571.85292e-11
5.2666e-060.9999999863179721.87097e-11
5.30114e-060.9999999861380431.88892e-11
5.3359e-060.999999985955751.90674e-11
5.3709e-060.9999999857710591.92445e-11
5.40612e-060.9999999855839381.94204e-11
5.44158e-060.9999999853943551.95952e-11
5.47726e-060.9999999852022751.97688e-11
5.51319e-060.9999999850076651.99413e-11
5.54934e-060.9999999848104882.01127e-11
5.58574e-060.999999984610712.0287e-11
5.62237e-060.9999999844083032.04856e-11
5.65925e-060.9999999842032422.06829e-11
5.69636e-060.9999999839954862.08789e-11
5.73372e-060.9999999837849982.10736e-11
5.77132e-060.9999999835717412.12671e-11
5.80917e-060.9999999833556772.14593e-11
5.84727e-060.9999999831367692.16502e-11
5.88562e-060.9999999829149782.18399e-11
5.92422e-060.9999999826902642.20284e-11
5.96307e-060.9999999824625832.22156e-11
6.00218e-060.9999999822319052.24315e-11
6.04155e-060.9999999819982012.26482e-11
6.08117e-060.9999999817614272.28635e-11
6.12105e-060.9999999815215392.30774e-11
6.16119e-060.9999999812784962.32899e-11
6.2016e-060.9999999810322542.3501e-11
6.24227e-060.9999999807827712.37108e-11
6.28321e-060.9999999805300022.39192e-11
6.32442e-060.9999999802739022.41262e-11
6.3659e-060.9999999800144242.43319e-11
6.40765e-060.9999999797515272.45619e-11
6.44967e-060.999999979485182.48003e-11
6.49197e-060.9999999792153342.50372e-11
6.53455e-060.999999978941942.52725e-11
6.5774e-060.999999978664952.55063e-11
6.62054e-060.9999999783843152.57386e-11
6.66396e-060.9999999780999862.59693e-11
6.70767e-060.9999999778119132.61985e-11
6.75166e-060.9999999775200452.64263e-11
6.79594e-060.9999999772243282.66526e-11
6.84051e-060.9999999769247132.68977e-11
6.88537e-060.9999999766211612.71604e-11
6.93053e-060.9999999763136252.74213e-11
6.97598e-060.9999999760020452.76806e-11
7.02173e-060.9999999756863672.79382e-11
7.06778e-060.9999999753665352.81941e-11
7.11413e-060.9999999750424932.84483e-11
7.16079e-060.9999999747141862.87009e-11
7.20775e-060.9999999743815532.89519e-11
7.25502e-060.9999999740445352.92012e-11
7.30261e-060.9999999737030722.94623e-11
7.3505e-060.9999999733571212.9752e-11
7.39871e-060.9999999730066283.00399e-11
7.44723e-060.9999999726515283.03258e-11
7.49607e-060.9999999722917583.061e-11
7.54523e-060.9999999719272543.08922e-11
7.59472e-060.9999999715579533.11726e-11
7.64453e-060.999999971183793.14512e-11
7.69466e-060.9999999708046993.1728e-11
7.74513e-060.9999999704206113.2003e-11
7.79592e-060.9999999700314563.2281e-11
7.84705e-060.9999999696371813.26007e-11
7.89851e-060.9999999692377323.29183e-11
7.95031e-060.9999999688330323.32338e-11
8.00246e-060.999999968423013.35473e-11
8.05494e-060.9999999680075943.38587e-11
8.10777e-060.999999967586713.41681e-11
8.16094e-060.9999999671602853.44755e-11
8.21446e-060.9999999667282443.47809e-11
8.26833e-060.9999999662905113.50843e-11
8.32256e-060.9999999658470013.53857e-11
8.37714e-060.9999999653976523.57341e-11
8.43208e-060.9999999649424063.6086e-11
8.48738e-060.9999999644811773.64357e-11
8.54305e-060.9999999640138833.67831e-11
8.59908e-060.999999963540443.71282e-11
8.65547e-060.9999999630607673.74711e-11
8.71224e-060.999999962574783.78117e-11
8.76938e-060.9999999620823933.81501e-11
8.82689e-060.9999999615835183.84863e-11
8.88478e-060.9999999610780623.88203e-11
8.94305e-060.9999999605659493.91943e-11
9.0017e-060.9999999600471093.9585e-11
9.06074e-060.9999999595214533.99731e-11
9.12016e-060.9999999589888854.03588e-11
9.17997e-060.999999958449314.07419e-11
9.24018e-060.9999999579026354.11226e-11
9.30078e-060.9999999573487644.15007e-11
9.36178e-060.9999999567875994.18764e-11
9.42317e-060.9999999562190414.22497e-11
9.48497e-060.9999999556429864.26205e-11
9.54718e-060.9999999550593384.30219e-11
9.60979e-060.9999999544680194.34568e-11
9.67282e-060.9999999538689344.38887e-11
9.73626e-060.9999999532619724.43179e-11
9.80011e-060.9999999526470264.47443e-11
9.86438e-060.9999999520239874.51679e-11
9.92908e-060.9999999513927464.55887e-11
9.99419e-060.9999999507531944.60068e-11
1.00597e-050.9999999501052174.64222e-11
1.01257e-050.9999999494486974.68349e-11
1.01921e-050.9999999487835194.72664e-11
1.0259e-050.9999999481095934.77528e-11
1.03262e-050.9999999474268194.8236e-11
1.0394e-050.9999999467350684.87161e-11
1.04621e-050.9999999460342184.9193e-11
1.05308e-050.9999999453241454.96669e-11
1.05998e-050.9999999446047255.01376e-11
1.06693e-050.9999999438758335.06053e-11
1.07393e-050.9999999431373415.107e-11
1.08097e-050.9999999423891145.15316e-11
1.08806e-050.9999999416310155.19959e-11
1.0952e-050.9999999408629395.25415e-11
1.10238e-050.9999999400847825.30836e-11
1.10961e-050.9999999392963945.36221e-11
1.11689e-050.9999999384976375.4157e-11
1.12421e-050.9999999376883685.46885e-11
1.13159e-050.9999999368684485.52166e-11
1.13901e-050.9999999360377315.57412e-11
1.14648e-050.9999999351960735.62624e-11
1.154e-050.9999999343433245.67801e-11
1.16157e-050.999999933479325.72946e-11
1.16918e-050.999999932603945.78953e-11
1.17685e-050.9999999317170675.8507e-11
1.18457e-050.9999999308185385.91147e-11
1.19234e-050.999999929908195.97185e-11
1.20016e-050.9999999289858636.03183e-11
1.20803e-050.9999999280513976.09143e-11
1.21595e-050.9999999271046266.15063e-11
1.22393e-050.9999999261453866.20945e-11
1.23195e-050.9999999251735066.26789e-11
1.24003e-050.9999999241888026.32594e-11
1.24817e-050.9999999231911256.39151e-11
1.25635e-050.999999922180346.46088e-11
1.26459e-050.9999999211562756.52981e-11
1.27289e-050.9999999201187426.59828e-11
1.28123e-050.9999999190675576.66631e-11
1.28964e-050.9999999180025366.7339e-11
1.29809e-050.9999999169234936.80105e-11
1.30661e-050.9999999158302376.86776e-11
1.31518e-050.9999999147225766.93403e-11
1.3238e-050.9999999136003046.99987e-11
1.33248e-050.9999999124632347.07162e-11
1.34122e-050.9999999113112187.15087e-11
1.35002e-050.999999910144077.22959e-11
1.35887e-050.9999999089615757.30781e-11
1.36778e-050.9999999077635217.38552e-11
1.37676e-050.9999999065496997.46271e-11
1.38578e-050.9999999053198957.53941e-11
1.39487e-050.9999999040738937.61561e-11
1.40402e-050.9999999028114747.69131e-11
1.41323e-050.9999999015324067.76651e-11
1.4225e-050.9999999002364617.84521e-11
1.43183e-050.999999898923477.93631e-11
1.44122e-050.999999897593248.02681e-11
1.45067e-050.999999896245528.11672e-11
1.46018e-050.9999998948800688.20604e-11
1.46976e-050.9999998934966448.29479e-11
1.4794e-050.9999998920950068.38295e-11
1.4891e-050.9999998906749078.47054e-11
1.49887e-050.9999998892360988.55756e-11
1.5087e-050.9999998877783178.64401e-11
1.51859e-050.9999998863012848.73048e-11
1.52855e-050.999999884804818.83614e-11
1.53858e-050.9999998832886988.94111e-11
1.54867e-050.9999998817526549.04539e-11
1.55882e-050.9999998801964039.149e-11
1.56905e-050.9999998786196689.25193e-11
1.57934e-050.9999998770221759.3542e-11
1.58969e-050.9999998754036419.45579e-11
1.60012e-050.9999998737637819.55673e-11
1.61061e-050.99999987210239.657e-11
1.62118e-050.9999998704188779.75663e-11
1.63181e-050.9999998687132789.87573e-11
1.64251e-050.9999998669852889.99843e-11
1.65328e-050.9999998652345891.01203e-10
1.66413e-050.9999998634608621.02414e-10
1.67504e-050.999999861663791.03618e-10
1.68603e-050.9999998598430591.04813e-10
1.69708e-050.9999998579983461.06001e-10
1.70821e-050.9999998561293271.07181e-10
1.71942e-050.9999998542356651.08353e-10
1.73069e-050.9999998523169971.09517e-10
1.74204e-050.9999998503730341.10858e-10
1.75347e-050.9999998484035341.12305e-10
1.76497e-050.9999998464081641.13742e-10
1.77654e-050.9999998443865511.1517e-10
1.7882e-050.9999998423383331.16589e-10
1.79992e-050.9999998402631491.17998e-10
1.81173e-050.9999998381606321.19399e-10
1.82361e-050.999999836030411.2079e-10
1.83557e-050.9999998338721021.22172e-10
1.84761e-050.9999998316852971.23545e-10
1.85973e-050.9999998294696321.25059e-10
1.87192e-050.9999998272248421.26782e-10
1.8842e-050.9999998249505831.28493e-10
1.89656e-050.9999998226464181.30193e-10
1.90899e-050.9999998203119331.31882e-10
1.92151e-050.9999998179467131.3356e-10
1.93412e-050.9999998155503391.35227e-10
1.9468e-050.9999998131223891.36883e-10
1.95957e-050.9999998106624251.38528e-10
1.97242e-050.9999998081699891.40163e-10
1.98536e-050.999999805644621.41878e-10
1.99838e-050.9999998030860271.43947e-10
2.01148e-050.999999800493871.46002e-10
2.02467e-050.9999997978676341.48044e-10
2.03795e-050.9999997952068431.50072e-10
2.05132e-050.9999997925110221.52087e-10
2.06477e-050.9999997897796931.54089e-10
2.07831e-050.9999997870123711.56078e-10
2.09194e-050.9999997842085621.58054e-10
2.10566e-050.9999997813677491.60018e-10
2.11947e-050.999999778489351.61968e-10
2.13337e-050.9999997755730451.64472e-10
2.14736e-050.9999997726185131.66964e-10
2.16145e-050.9999997696251511.69439e-10
2.17562e-050.9999997665924071.71899e-10
2.18989e-050.9999997635197381.74343e-10
2.20425e-050.9999997604065971.7677e-10
2.21871e-050.999999757252431.79182e-10
2.23326e-050.9999997540566711.81578e-10
2.24791e-050.9999997508187321.83959e-10
2.26265e-050.9999997475379511.86324e-10
2.27749e-050.9999997442139171.89238e-10
2.29243e-050.9999997408462821.92287e-10
2.30746e-050.999999737434421.95316e-10
2.32259e-050.9999997339776811.98326e-10
2.33783e-050.9999997304754392.01315e-10
2.35316e-050.9999997269270682.04286e-10
2.36859e-050.9999997233319332.07237e-10
2.38413e-050.9999997196893882.10169e-10
2.39976e-050.999999715998762.13081e-10
2.4155e-050.9999997122593052.15975e-10
2.43134e-050.999999708470482.19377e-10
2.44729e-050.9999997046319172.2314e-10
2.46334e-050.9999997007429862.26878e-10
2.47949e-050.9999996968029212.30593e-10
2.49575e-050.9999996928109962.34283e-10
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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
—