Optical constants
Refractive index of C2H5OH (Ethanol)
Chang et al. 2024: n 0.4–2.0 µm
- Data
- formula 1
- Range
- 0.4–2 µm
- Temperature
- 295 K
- Licence
- CC0-1.0
Plot
Click the plot to set the calculator wavelength.
At one wavelength
- Refractive index n
- 1.3614
- Extinction coefficient k
- 0
- Permittivity ε1
- 1.85341
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- 60.983
- Chromatic dispersion dn/dλ
- -0.0305519 µm⁻¹
- Group index ng
- 1.37935
- Group velocity dispersion
- 55.2019 fs²/mm
- Dispersion parameter D
- -301.156 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): Chang et al. 2024: n 0.4–2.0 µm
c2h5oh = ls.fetch_refractiveindex("organic", "ethanol", "Chang", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(c2h5oh.range_nm) # (400, 2000) 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_2d1da6213e0b/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/chang-2024).
# ... 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=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"]).
import json, urllib.request
import lightsmith as ls
url = "https://materials.lightsmith.dev/v1/datasets/ds_2d1da6213e0b/lightsmith?model=drude_lorentz"
c2h5oh_dl = ls.DrudeLorentz.model_validate(json.load(urllib.request.urlopen(url)))
A dispersive Drude–Lorentz model for time-domain solvers.
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
Sellmeier (formula 1), λ in µmValid from 0.4 to 2.0 µm.
Coefficients as stored
| Ci | Value |
|---|---|
| C1 | 0.0 |
| C2 | 0.8312 |
| C3 | 0.0964 |
| C4 | 0.0192 |
| C5 | 2.97 |
Comments and conditions
Conditions
- temperature
- 295 K
References
- doi:10.1364/ome.519907 Refractive index measurements of liquids from 0.5 to 2 µm using Rayleigh interferometry, Optical Materials Express (2024)
Cite
Hao-Jung Chang et al.. Refractive index measurements of liquids from 0.5 to 2 µm using Rayleigh interferometry. Optical Materials Express, 14, 1253 (2024), doi:10.1364/ome.519907; 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 | 1.371896 |
| 0.401617 | 1.371736 |
| 0.40324 | 1.371577 |
| 0.40487 | 1.371419 |
| 0.406506 | 1.371263 |
| 0.408149 | 1.371108 |
| 0.409799 | 1.370955 |
| 0.411455 | 1.370803 |
| 0.413118 | 1.370652 |
| 0.414788 | 1.370503 |
| 0.416465 | 1.370354 |
| 0.418148 | 1.370208 |
| 0.419838 | 1.370062 |
| 0.421535 | 1.369918 |
| 0.423239 | 1.369775 |
| 0.424949 | 1.369633 |
| 0.426667 | 1.369492 |
| 0.428391 | 1.369353 |
| 0.430123 | 1.369215 |
| 0.431861 | 1.369078 |
| 0.433607 | 1.368942 |
| 0.435359 | 1.368807 |
| 0.437119 | 1.368674 |
| 0.438886 | 1.368541 |
| 0.44066 | 1.36841 |
| 0.442441 | 1.36828 |
| 0.444229 | 1.368151 |
| 0.446024 | 1.368023 |
| 0.447827 | 1.367896 |
| 0.449637 | 1.367771 |
| 0.451455 | 1.367646 |
| 0.453279 | 1.367523 |
| 0.455111 | 1.3674 |
| 0.456951 | 1.367279 |
| 0.458798 | 1.367158 |
| 0.460652 | 1.367039 |
| 0.462514 | 1.36692 |
| 0.464383 | 1.366803 |
| 0.46626 | 1.366687 |
| 0.468145 | 1.366571 |
| 0.470037 | 1.366457 |
| 0.471937 | 1.366343 |
| 0.473844 | 1.366231 |
| 0.47576 | 1.366119 |
| 0.477683 | 1.366008 |
| 0.479613 | 1.365899 |
| 0.481552 | 1.36579 |
| 0.483498 | 1.365682 |
| 0.485452 | 1.365575 |
| 0.487414 | 1.365469 |
| 0.489385 | 1.365364 |
| 0.491363 | 1.365259 |
| 0.493349 | 1.365156 |
| 0.495343 | 1.365053 |
| 0.497345 | 1.364952 |
| 0.499355 | 1.364851 |
| 0.501373 | 1.364751 |
| 0.5034 | 1.364652 |
| 0.505434 | 1.364553 |
| 0.507477 | 1.364456 |
| 0.509528 | 1.364359 |
| 0.511588 | 1.364263 |
| 0.513655 | 1.364168 |
| 0.515732 | 1.364073 |
| 0.517816 | 1.363979 |
| 0.519909 | 1.363887 |
| 0.52201 | 1.363795 |
| 0.52412 | 1.363703 |
| 0.526239 | 1.363613 |
| 0.528366 | 1.363523 |
| 0.530501 | 1.363434 |
| 0.532645 | 1.363345 |
| 0.534798 | 1.363257 |
| 0.53696 | 1.36317 |
| 0.53913 | 1.363084 |
| 0.541309 | 1.362999 |
| 0.543497 | 1.362914 |
| 0.545694 | 1.36283 |
| 0.547899 | 1.362746 |
| 0.550114 | 1.362663 |
| 0.552337 | 1.362581 |
| 0.55457 | 1.362499 |
| 0.556811 | 1.362419 |
| 0.559062 | 1.362338 |
| 0.561321 | 1.362259 |
| 0.56359 | 1.36218 |
| 0.565868 | 1.362102 |
| 0.568155 | 1.362024 |
| 0.570452 | 1.361947 |
| 0.572757 | 1.36187 |
| 0.575072 | 1.361795 |
| 0.577397 | 1.361719 |
| 0.57973 | 1.361645 |
| 0.582073 | 1.361571 |
| 0.584426 | 1.361497 |
| 0.586788 | 1.361424 |
| 0.58916 | 1.361352 |
| 0.591541 | 1.36128 |
| 0.593932 | 1.361209 |
| 0.596333 | 1.361138 |
| 0.598743 | 1.361068 |
| 0.601163 | 1.360999 |
| 0.603593 | 1.36093 |
| 0.606032 | 1.360861 |
| 0.608482 | 1.360793 |
| 0.610941 | 1.360726 |
| 0.613411 | 1.360659 |
| 0.61589 | 1.360593 |
| 0.618379 | 1.360527 |
| 0.620879 | 1.360461 |
| 0.623388 | 1.360397 |
| 0.625908 | 1.360332 |
| 0.628438 | 1.360268 |
| 0.630978 | 1.360205 |
| 0.633528 | 1.360142 |
| 0.636088 | 1.36008 |
| 0.638659 | 1.360018 |
| 0.641241 | 1.359956 |
| 0.643833 | 1.359895 |
| 0.646435 | 1.359835 |
| 0.649048 | 1.359775 |
| 0.651671 | 1.359715 |
| 0.654305 | 1.359656 |
| 0.656949 | 1.359597 |
| 0.659605 | 1.359539 |
| 0.662271 | 1.359481 |
| 0.664948 | 1.359423 |
| 0.667635 | 1.359366 |
| 0.670334 | 1.35931 |
| 0.673043 | 1.359253 |
| 0.675763 | 1.359198 |
| 0.678495 | 1.359142 |
| 0.681237 | 1.359087 |
| 0.68399 | 1.359033 |
| 0.686755 | 1.358978 |
| 0.689531 | 1.358925 |
| 0.692318 | 1.358871 |
| 0.695116 | 1.358818 |
| 0.697925 | 1.358766 |
| 0.700746 | 1.358713 |
| 0.703579 | 1.358661 |
| 0.706422 | 1.35861 |
| 0.709278 | 1.358559 |
| 0.712144 | 1.358508 |
| 0.715023 | 1.358458 |
| 0.717913 | 1.358407 |
| 0.720814 | 1.358358 |
| 0.723728 | 1.358308 |
| 0.726653 | 1.358259 |
| 0.72959 | 1.358211 |
| 0.732539 | 1.358162 |
| 0.7355 | 1.358114 |
| 0.738472 | 1.358066 |
| 0.741457 | 1.358019 |
| 0.744454 | 1.357972 |
| 0.747463 | 1.357925 |
| 0.750484 | 1.357879 |
| 0.753517 | 1.357833 |
| 0.756563 | 1.357787 |
| 0.759621 | 1.357741 |
| 0.762691 | 1.357696 |
| 0.765774 | 1.357651 |
| 0.768869 | 1.357607 |
| 0.771977 | 1.357562 |
| 0.775097 | 1.357518 |
| 0.77823 | 1.357475 |
| 0.781375 | 1.357431 |
| 0.784533 | 1.357388 |
| 0.787704 | 1.357345 |
| 0.790888 | 1.357302 |
| 0.794085 | 1.35726 |
| 0.797294 | 1.357218 |
| 0.800517 | 1.357176 |
| 0.803752 | 1.357134 |
| 0.807001 | 1.357093 |
| 0.810263 | 1.357052 |
| 0.813538 | 1.357011 |
| 0.816826 | 1.356971 |
| 0.820127 | 1.35693 |
| 0.823442 | 1.35689 |
| 0.82677 | 1.35685 |
| 0.830112 | 1.356811 |
| 0.833467 | 1.356771 |
| 0.836836 | 1.356732 |
| 0.840218 | 1.356693 |
| 0.843614 | 1.356655 |
| 0.847024 | 1.356616 |
| 0.850447 | 1.356578 |
| 0.853885 | 1.35654 |
| 0.857336 | 1.356502 |
| 0.860801 | 1.356465 |
| 0.86428 | 1.356427 |
| 0.867774 | 1.35639 |
| 0.871281 | 1.356353 |
| 0.874803 | 1.356316 |
| 0.878338 | 1.35628 |
| 0.881888 | 1.356243 |
| 0.885453 | 1.356207 |
| 0.889032 | 1.356171 |
| 0.892625 | 1.356135 |
| 0.896233 | 1.356099 |
| 0.899855 | 1.356064 |
| 0.903492 | 1.356029 |
| 0.907144 | 1.355993 |
| 0.910811 | 1.355959 |
| 0.914492 | 1.355924 |
| 0.918188 | 1.355889 |
| 0.921899 | 1.355855 |
| 0.925626 | 1.35582 |
| 0.929367 | 1.355786 |
| 0.933123 | 1.355752 |
| 0.936895 | 1.355718 |
| 0.940681 | 1.355685 |
| 0.944483 | 1.355651 |
| 0.948301 | 1.355618 |
| 0.952134 | 1.355585 |
| 0.955982 | 1.355551 |
| 0.959846 | 1.355518 |
| 0.963726 | 1.355486 |
| 0.967621 | 1.355453 |
| 0.971532 | 1.35542 |
| 0.975458 | 1.355388 |
| 0.979401 | 1.355356 |
| 0.98336 | 1.355323 |
| 0.987334 | 1.355291 |
| 0.991325 | 1.355259 |
| 0.995332 | 1.355227 |
| 0.999355 | 1.355196 |
| 1.00339 | 1.355164 |
| 1.00745 | 1.355133 |
| 1.01152 | 1.355101 |
| 1.01561 | 1.35507 |
| 1.01971 | 1.355039 |
| 1.02384 | 1.355008 |
| 1.02797 | 1.354976 |
| 1.03213 | 1.354946 |
| 1.0363 | 1.354915 |
| 1.04049 | 1.354884 |
| 1.04469 | 1.354853 |
| 1.04892 | 1.354823 |
| 1.05316 | 1.354792 |
| 1.05741 | 1.354762 |
| 1.06169 | 1.354731 |
| 1.06598 | 1.354701 |
| 1.07029 | 1.354671 |
| 1.07461 | 1.354641 |
| 1.07896 | 1.35461 |
| 1.08332 | 1.35458 |
| 1.0877 | 1.35455 |
| 1.09209 | 1.35452 |
| 1.09651 | 1.35449 |
| 1.10094 | 1.354461 |
| 1.10539 | 1.354431 |
| 1.10986 | 1.354401 |
| 1.11434 | 1.354371 |
| 1.11885 | 1.354342 |
| 1.12337 | 1.354312 |
| 1.12791 | 1.354282 |
| 1.13247 | 1.354253 |
| 1.13704 | 1.354223 |
| 1.14164 | 1.354194 |
| 1.14625 | 1.354164 |
| 1.15089 | 1.354135 |
| 1.15554 | 1.354105 |
| 1.16021 | 1.354076 |
| 1.1649 | 1.354046 |
| 1.16961 | 1.354017 |
| 1.17433 | 1.353987 |
| 1.17908 | 1.353958 |
| 1.18385 | 1.353928 |
| 1.18863 | 1.353899 |
| 1.19344 | 1.353869 |
| 1.19826 | 1.35384 |
| 1.2031 | 1.35381 |
| 1.20797 | 1.353781 |
| 1.21285 | 1.353751 |
| 1.21775 | 1.353721 |
| 1.22267 | 1.353692 |
| 1.22761 | 1.353662 |
| 1.23258 | 1.353632 |
| 1.23756 | 1.353603 |
| 1.24256 | 1.353573 |
| 1.24758 | 1.353543 |
| 1.25262 | 1.353513 |
| 1.25769 | 1.353483 |
| 1.26277 | 1.353453 |
| 1.26787 | 1.353423 |
| 1.273 | 1.353393 |
| 1.27814 | 1.353363 |
| 1.28331 | 1.353333 |
| 1.2885 | 1.353302 |
| 1.2937 | 1.353272 |
| 1.29893 | 1.353241 |
| 1.30418 | 1.353211 |
| 1.30945 | 1.35318 |
| 1.31475 | 1.353149 |
| 1.32006 | 1.353119 |
| 1.3254 | 1.353088 |
| 1.33075 | 1.353057 |
| 1.33613 | 1.353025 |
| 1.34153 | 1.352994 |
| 1.34696 | 1.352963 |
| 1.3524 | 1.352931 |
| 1.35787 | 1.352899 |
| 1.36335 | 1.352868 |
| 1.36886 | 1.352836 |
| 1.3744 | 1.352804 |
| 1.37995 | 1.352771 |
| 1.38553 | 1.352739 |
| 1.39113 | 1.352706 |
| 1.39675 | 1.352674 |
| 1.4024 | 1.352641 |
| 1.40807 | 1.352608 |
| 1.41376 | 1.352574 |
| 1.41947 | 1.352541 |
| 1.42521 | 1.352507 |
| 1.43097 | 1.352474 |
| 1.43675 | 1.35244 |
| 1.44256 | 1.352405 |
| 1.44839 | 1.352371 |
| 1.45424 | 1.352336 |
| 1.46012 | 1.352302 |
| 1.46602 | 1.352266 |
| 1.47195 | 1.352231 |
| 1.4779 | 1.352196 |
| 1.48387 | 1.35216 |
| 1.48987 | 1.352124 |
| 1.49589 | 1.352087 |
| 1.50194 | 1.352051 |
| 1.50801 | 1.352014 |
| 1.5141 | 1.351977 |
| 1.52022 | 1.351939 |
| 1.52637 | 1.351901 |
| 1.53254 | 1.351863 |
| 1.53873 | 1.351825 |
| 1.54495 | 1.351786 |
| 1.55119 | 1.351747 |
| 1.55746 | 1.351708 |
| 1.56376 | 1.351668 |
| 1.57008 | 1.351628 |
| 1.57643 | 1.351588 |
| 1.5828 | 1.351547 |
| 1.58919 | 1.351506 |
| 1.59562 | 1.351464 |
| 1.60207 | 1.351422 |
| 1.60854 | 1.351379 |
| 1.61504 | 1.351337 |
| 1.62157 | 1.351293 |
| 1.62813 | 1.35125 |
| 1.63471 | 1.351205 |
| 1.64131 | 1.351161 |
| 1.64795 | 1.351116 |
| 1.65461 | 1.35107 |
| 1.6613 | 1.351024 |
| 1.66801 | 1.350977 |
| 1.67475 | 1.35093 |
| 1.68152 | 1.350882 |
| 1.68832 | 1.350834 |
| 1.69514 | 1.350785 |
| 1.70199 | 1.350736 |
| 1.70887 | 1.350686 |
| 1.71578 | 1.350635 |
| 1.72271 | 1.350584 |
| 1.72968 | 1.350532 |
| 1.73667 | 1.350479 |
| 1.74369 | 1.350426 |
| 1.75074 | 1.350372 |
| 1.75781 | 1.350317 |
| 1.76492 | 1.350261 |
| 1.77205 | 1.350205 |
| 1.77921 | 1.350148 |
| 1.7864 | 1.35009 |
| 1.79362 | 1.350032 |
| 1.80087 | 1.349972 |
| 1.80815 | 1.349912 |
| 1.81546 | 1.349851 |
| 1.8228 | 1.349788 |
| 1.83017 | 1.349725 |
| 1.83756 | 1.349661 |
| 1.84499 | 1.349596 |
| 1.85245 | 1.34953 |
| 1.85993 | 1.349463 |
| 1.86745 | 1.349395 |
| 1.875 | 1.349326 |
| 1.88258 | 1.349255 |
| 1.89019 | 1.349184 |
| 1.89783 | 1.349111 |
| 1.9055 | 1.349037 |
| 1.9132 | 1.348962 |
| 1.92093 | 1.348885 |
| 1.9287 | 1.348807 |
| 1.93649 | 1.348728 |
| 1.94432 | 1.348647 |
| 1.95218 | 1.348565 |
| 1.96007 | 1.348481 |
| 1.96799 | 1.348395 |
| 1.97594 | 1.348309 |
| 1.98393 | 1.34822 |
| 1.99195 | 1.34813 |
| 2 | 1.348037 |
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
- —
21.5–22.0 °C