Optical constants
Refractive index of C2H5OH (Ethanol)
Rheims et al. 1997: n 0.477–0.83 µm
- Data
- formula 5
- Range
- 0.4765–0.83 µm
- Temperature
- 293 K
- Licence
- CC0-1.0
Plot
Click the plot to set the calculator wavelength.
At one wavelength
- Refractive index n
- 1.36168
- Extinction coefficient k
- 0
- Permittivity ε1
- 1.85417
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- 59.353
- Chromatic dispersion dn/dλ
- -0.0313072 µm⁻¹
- Group index ng
- 1.38008
- Group velocity dispersion
- 58.8225 fs²/mm
- Dispersion parameter D
- -320.908 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
# C2H5OH (Ethanol): Rheims et al. 1997: n 0.477–0.83 µm
c2h5oh = ls.fetch_refractiveindex("organic", "ethanol", "Rheims", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(c2h5oh.range_nm) # (476.5, 830) nm
eps = c2h5oh.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_63206dc7bc44/lightsmith"
c2h5oh = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(c2h5oh.source) # citation and provenance travel with the data
Any dataset here, as the library's Tabulated material (ethanol/rheims-1997).
# ... load c2h5oh as above, then:
sim = ls.Simulation(
particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=c2h5oh)],
medium_index=1.0,
wavelengths=ls.WavelengthRange(start_nm=477, stop_nm=830, 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
Cauchy (formula 5), λ in µmValid from 0.4765 to 0.83 µm.
Coefficients as stored
| Ci | Value |
|---|---|
| C1 | 1.35265 |
| C2 | 0.00306 |
| C3 | -2.0 |
| C4 | 2e-05 |
| C5 | -4.0 |
Comments and conditions
Conditions
- temperature
- 293 K
References
- doi:10.1088/0957-0233/8/6/003 Refractive-index measurements in the near-IR using an Abbe refractometer, Measurement Science and Technology (1997)
Cite
J Rheims, J Köser and T Wriedt. Refractive-index measurements in the near-IR using an Abbe refractometer. Measurement Science and Technology, 8, 601-605 (1997), doi:10.1088/0957-0233/8/6/003; 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 |
|---|---|
| 0.4765 | 1.366515 |
| 0.477163 | 1.366475 |
| 0.477827 | 1.366436 |
| 0.478492 | 1.366397 |
| 0.479158 | 1.366357 |
| 0.479825 | 1.366318 |
| 0.480493 | 1.366279 |
| 0.481162 | 1.36624 |
| 0.481832 | 1.366202 |
| 0.482502 | 1.366163 |
| 0.483174 | 1.366124 |
| 0.483846 | 1.366086 |
| 0.48452 | 1.366048 |
| 0.485194 | 1.366009 |
| 0.485869 | 1.365971 |
| 0.486546 | 1.365933 |
| 0.487223 | 1.365895 |
| 0.487901 | 1.365858 |
| 0.48858 | 1.36582 |
| 0.48926 | 1.365782 |
| 0.489941 | 1.365745 |
| 0.490623 | 1.365708 |
| 0.491306 | 1.36567 |
| 0.49199 | 1.365633 |
| 0.492674 | 1.365596 |
| 0.49336 | 1.365559 |
| 0.494047 | 1.365522 |
| 0.494735 | 1.365486 |
| 0.495423 | 1.365449 |
| 0.496113 | 1.365413 |
| 0.496803 | 1.365376 |
| 0.497495 | 1.36534 |
| 0.498187 | 1.365304 |
| 0.49888 | 1.365268 |
| 0.499575 | 1.365232 |
| 0.50027 | 1.365196 |
| 0.500966 | 1.36516 |
| 0.501664 | 1.365125 |
| 0.502362 | 1.365089 |
| 0.503061 | 1.365054 |
| 0.503761 | 1.365018 |
| 0.504462 | 1.364983 |
| 0.505165 | 1.364948 |
| 0.505868 | 1.364913 |
| 0.506572 | 1.364878 |
| 0.507277 | 1.364843 |
| 0.507983 | 1.364809 |
| 0.50869 | 1.364774 |
| 0.509398 | 1.36474 |
| 0.510107 | 1.364705 |
| 0.510817 | 1.364671 |
| 0.511528 | 1.364637 |
| 0.51224 | 1.364603 |
| 0.512953 | 1.364569 |
| 0.513667 | 1.364535 |
| 0.514382 | 1.364501 |
| 0.515098 | 1.364467 |
| 0.515815 | 1.364433 |
| 0.516533 | 1.3644 |
| 0.517251 | 1.364367 |
| 0.517971 | 1.364333 |
| 0.518692 | 1.3643 |
| 0.519414 | 1.364267 |
| 0.520137 | 1.364234 |
| 0.520861 | 1.364201 |
| 0.521586 | 1.364168 |
| 0.522312 | 1.364135 |
| 0.523039 | 1.364103 |
| 0.523767 | 1.36407 |
| 0.524496 | 1.364038 |
| 0.525226 | 1.364005 |
| 0.525957 | 1.363973 |
| 0.526689 | 1.363941 |
| 0.527422 | 1.363909 |
| 0.528156 | 1.363877 |
| 0.528891 | 1.363845 |
| 0.529628 | 1.363813 |
| 0.530365 | 1.363781 |
| 0.531103 | 1.36375 |
| 0.531842 | 1.363718 |
| 0.532582 | 1.363687 |
| 0.533324 | 1.363655 |
| 0.534066 | 1.363624 |
| 0.534809 | 1.363593 |
| 0.535554 | 1.363562 |
| 0.536299 | 1.363531 |
| 0.537045 | 1.3635 |
| 0.537793 | 1.363469 |
| 0.538541 | 1.363439 |
| 0.539291 | 1.363408 |
| 0.540042 | 1.363377 |
| 0.540793 | 1.363347 |
| 0.541546 | 1.363317 |
| 0.5423 | 1.363286 |
| 0.543055 | 1.363256 |
| 0.54381 | 1.363226 |
| 0.544567 | 1.363196 |
| 0.545325 | 1.363166 |
| 0.546084 | 1.363136 |
| 0.546844 | 1.363106 |
| 0.547605 | 1.363077 |
| 0.548368 | 1.363047 |
| 0.549131 | 1.363018 |
| 0.549895 | 1.362988 |
| 0.55066 | 1.362959 |
| 0.551427 | 1.36293 |
| 0.552194 | 1.362901 |
| 0.552963 | 1.362872 |
| 0.553733 | 1.362843 |
| 0.554503 | 1.362814 |
| 0.555275 | 1.362785 |
| 0.556048 | 1.362756 |
| 0.556822 | 1.362727 |
| 0.557597 | 1.362699 |
| 0.558373 | 1.36267 |
| 0.55915 | 1.362642 |
| 0.559928 | 1.362614 |
| 0.560708 | 1.362585 |
| 0.561488 | 1.362557 |
| 0.56227 | 1.362529 |
| 0.563052 | 1.362501 |
| 0.563836 | 1.362473 |
| 0.564621 | 1.362445 |
| 0.565407 | 1.362418 |
| 0.566193 | 1.36239 |
| 0.566982 | 1.362362 |
| 0.567771 | 1.362335 |
| 0.568561 | 1.362307 |
| 0.569352 | 1.36228 |
| 0.570145 | 1.362253 |
| 0.570938 | 1.362226 |
| 0.571733 | 1.362198 |
| 0.572529 | 1.362171 |
| 0.573326 | 1.362144 |
| 0.574124 | 1.362118 |
| 0.574923 | 1.362091 |
| 0.575723 | 1.362064 |
| 0.576524 | 1.362037 |
| 0.577327 | 1.362011 |
| 0.57813 | 1.361984 |
| 0.578935 | 1.361958 |
| 0.579741 | 1.361932 |
| 0.580547 | 1.361905 |
| 0.581355 | 1.361879 |
| 0.582165 | 1.361853 |
| 0.582975 | 1.361827 |
| 0.583786 | 1.361801 |
| 0.584599 | 1.361775 |
| 0.585413 | 1.361749 |
| 0.586227 | 1.361723 |
| 0.587043 | 1.361698 |
| 0.58786 | 1.361672 |
| 0.588679 | 1.361647 |
| 0.589498 | 1.361621 |
| 0.590318 | 1.361596 |
| 0.59114 | 1.36157 |
| 0.591963 | 1.361545 |
| 0.592787 | 1.36152 |
| 0.593612 | 1.361495 |
| 0.594438 | 1.36147 |
| 0.595265 | 1.361445 |
| 0.596094 | 1.36142 |
| 0.596924 | 1.361395 |
| 0.597754 | 1.361371 |
| 0.598586 | 1.361346 |
| 0.599419 | 1.361321 |
| 0.600254 | 1.361297 |
| 0.601089 | 1.361272 |
| 0.601926 | 1.361248 |
| 0.602764 | 1.361224 |
| 0.603603 | 1.3612 |
| 0.604443 | 1.361175 |
| 0.605284 | 1.361151 |
| 0.606126 | 1.361127 |
| 0.60697 | 1.361103 |
| 0.607815 | 1.361079 |
| 0.608661 | 1.361056 |
| 0.609508 | 1.361032 |
| 0.610356 | 1.361008 |
| 0.611206 | 1.360984 |
| 0.612057 | 1.360961 |
| 0.612908 | 1.360937 |
| 0.613762 | 1.360914 |
| 0.614616 | 1.360891 |
| 0.615471 | 1.360867 |
| 0.616328 | 1.360844 |
| 0.617186 | 1.360821 |
| 0.618045 | 1.360798 |
| 0.618905 | 1.360775 |
| 0.619766 | 1.360752 |
| 0.620629 | 1.360729 |
| 0.621493 | 1.360706 |
| 0.622358 | 1.360684 |
| 0.623224 | 1.360661 |
| 0.624091 | 1.360638 |
| 0.62496 | 1.360616 |
| 0.62583 | 1.360593 |
| 0.626701 | 1.360571 |
| 0.627573 | 1.360548 |
| 0.628447 | 1.360526 |
| 0.629321 | 1.360504 |
| 0.630197 | 1.360482 |
| 0.631074 | 1.36046 |
| 0.631953 | 1.360438 |
| 0.632832 | 1.360416 |
| 0.633713 | 1.360394 |
| 0.634595 | 1.360372 |
| 0.635478 | 1.36035 |
| 0.636363 | 1.360328 |
| 0.637249 | 1.360307 |
| 0.638136 | 1.360285 |
| 0.639024 | 1.360263 |
| 0.639913 | 1.360242 |
| 0.640804 | 1.360221 |
| 0.641696 | 1.360199 |
| 0.642589 | 1.360178 |
| 0.643483 | 1.360157 |
| 0.644379 | 1.360136 |
| 0.645276 | 1.360114 |
| 0.646174 | 1.360093 |
| 0.647073 | 1.360072 |
| 0.647974 | 1.360051 |
| 0.648876 | 1.360031 |
| 0.649779 | 1.36001 |
| 0.650683 | 1.359989 |
| 0.651589 | 1.359968 |
| 0.652496 | 1.359948 |
| 0.653404 | 1.359927 |
| 0.654313 | 1.359907 |
| 0.655224 | 1.359886 |
| 0.656136 | 1.359866 |
| 0.657049 | 1.359845 |
| 0.657964 | 1.359825 |
| 0.65888 | 1.359805 |
| 0.659797 | 1.359785 |
| 0.660715 | 1.359765 |
| 0.661635 | 1.359744 |
| 0.662556 | 1.359724 |
| 0.663478 | 1.359705 |
| 0.664401 | 1.359685 |
| 0.665326 | 1.359665 |
| 0.666252 | 1.359645 |
| 0.667179 | 1.359625 |
| 0.668108 | 1.359606 |
| 0.669038 | 1.359586 |
| 0.669969 | 1.359567 |
| 0.670901 | 1.359547 |
| 0.671835 | 1.359528 |
| 0.67277 | 1.359508 |
| 0.673707 | 1.359489 |
| 0.674644 | 1.35947 |
| 0.675583 | 1.35945 |
| 0.676524 | 1.359431 |
| 0.677465 | 1.359412 |
| 0.678408 | 1.359393 |
| 0.679352 | 1.359374 |
| 0.680298 | 1.359355 |
| 0.681245 | 1.359336 |
| 0.682193 | 1.359318 |
| 0.683143 | 1.359299 |
| 0.684093 | 1.35928 |
| 0.685046 | 1.359261 |
| 0.685999 | 1.359243 |
| 0.686954 | 1.359224 |
| 0.68791 | 1.359206 |
| 0.688867 | 1.359187 |
| 0.689826 | 1.359169 |
| 0.690786 | 1.35915 |
| 0.691748 | 1.359132 |
| 0.692711 | 1.359114 |
| 0.693675 | 1.359096 |
| 0.69464 | 1.359078 |
| 0.695607 | 1.359059 |
| 0.696575 | 1.359041 |
| 0.697545 | 1.359023 |
| 0.698516 | 1.359005 |
| 0.699488 | 1.358988 |
| 0.700461 | 1.35897 |
| 0.701436 | 1.358952 |
| 0.702413 | 1.358934 |
| 0.70339 | 1.358917 |
| 0.704369 | 1.358899 |
| 0.70535 | 1.358881 |
| 0.706331 | 1.358864 |
| 0.707315 | 1.358846 |
| 0.708299 | 1.358829 |
| 0.709285 | 1.358811 |
| 0.710272 | 1.358794 |
| 0.711261 | 1.358777 |
| 0.712251 | 1.35876 |
| 0.713242 | 1.358742 |
| 0.714235 | 1.358725 |
| 0.715229 | 1.358708 |
| 0.716224 | 1.358691 |
| 0.717221 | 1.358674 |
| 0.718219 | 1.358657 |
| 0.719219 | 1.35864 |
| 0.72022 | 1.358624 |
| 0.721222 | 1.358607 |
| 0.722226 | 1.35859 |
| 0.723231 | 1.358573 |
| 0.724238 | 1.358557 |
| 0.725246 | 1.35854 |
| 0.726256 | 1.358523 |
| 0.727266 | 1.358507 |
| 0.728279 | 1.35849 |
| 0.729292 | 1.358474 |
| 0.730307 | 1.358458 |
| 0.731324 | 1.358441 |
| 0.732342 | 1.358425 |
| 0.733361 | 1.358409 |
| 0.734382 | 1.358393 |
| 0.735404 | 1.358376 |
| 0.736427 | 1.35836 |
| 0.737452 | 1.358344 |
| 0.738479 | 1.358328 |
| 0.739507 | 1.358312 |
| 0.740536 | 1.358296 |
| 0.741567 | 1.358281 |
| 0.742599 | 1.358265 |
| 0.743632 | 1.358249 |
| 0.744667 | 1.358233 |
| 0.745704 | 1.358218 |
| 0.746742 | 1.358202 |
| 0.747781 | 1.358186 |
| 0.748822 | 1.358171 |
| 0.749864 | 1.358155 |
| 0.750908 | 1.35814 |
| 0.751953 | 1.358124 |
| 0.753 | 1.358109 |
| 0.754048 | 1.358094 |
| 0.755097 | 1.358078 |
| 0.756148 | 1.358063 |
| 0.757201 | 1.358048 |
| 0.758254 | 1.358033 |
| 0.75931 | 1.358018 |
| 0.760367 | 1.358003 |
| 0.761425 | 1.357987 |
| 0.762485 | 1.357972 |
| 0.763546 | 1.357958 |
| 0.764609 | 1.357943 |
| 0.765673 | 1.357928 |
| 0.766739 | 1.357913 |
| 0.767806 | 1.357898 |
| 0.768874 | 1.357883 |
| 0.769945 | 1.357869 |
| 0.771016 | 1.357854 |
| 0.772089 | 1.357839 |
| 0.773164 | 1.357825 |
| 0.77424 | 1.35781 |
| 0.775318 | 1.357796 |
| 0.776397 | 1.357781 |
| 0.777478 | 1.357767 |
| 0.77856 | 1.357753 |
| 0.779643 | 1.357738 |
| 0.780728 | 1.357724 |
| 0.781815 | 1.35771 |
| 0.782903 | 1.357696 |
| 0.783993 | 1.357681 |
| 0.785084 | 1.357667 |
| 0.786177 | 1.357653 |
| 0.787271 | 1.357639 |
| 0.788367 | 1.357625 |
| 0.789464 | 1.357611 |
| 0.790563 | 1.357597 |
| 0.791663 | 1.357583 |
| 0.792765 | 1.35757 |
| 0.793868 | 1.357556 |
| 0.794973 | 1.357542 |
| 0.79608 | 1.357528 |
| 0.797188 | 1.357515 |
| 0.798297 | 1.357501 |
| 0.799409 | 1.357487 |
| 0.800521 | 1.357474 |
| 0.801635 | 1.35746 |
| 0.802751 | 1.357447 |
| 0.803868 | 1.357433 |
| 0.804987 | 1.35742 |
| 0.806108 | 1.357406 |
| 0.80723 | 1.357393 |
| 0.808353 | 1.35738 |
| 0.809478 | 1.357367 |
| 0.810605 | 1.357353 |
| 0.811733 | 1.35734 |
| 0.812863 | 1.357327 |
| 0.813994 | 1.357314 |
| 0.815127 | 1.357301 |
| 0.816262 | 1.357288 |
| 0.817398 | 1.357275 |
| 0.818536 | 1.357262 |
| 0.819675 | 1.357249 |
| 0.820816 | 1.357236 |
| 0.821958 | 1.357223 |
| 0.823102 | 1.35721 |
| 0.824248 | 1.357197 |
| 0.825395 | 1.357185 |
| 0.826544 | 1.357172 |
| 0.827694 | 1.357159 |
| 0.828846 | 1.357147 |
| 0.83 | 1.357134 |
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
- —
20 °C