Optical constants
Refractive index of C2H4(OH)2 (Ethylene glycol)
El-Kashef 2000: n 0.4–0.8 µm
- Data
- formula 5
- Range
- 0.4–0.8 µm
- Temperature
- 293 K
- Licence
- CC0-1.0
Plot
Click the plot to set the calculator wavelength.
At one wavelength
- Refractive index n
- 1.43854
- Extinction coefficient k
- 0
- Permittivity ε1
- 2.06938
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- 12.861
- Chromatic dispersion dn/dλ
- -0.176023 µm⁻¹
- Group index ng
- 1.54197
- Group velocity dispersion
- 322.874 fs²/mm
- Dispersion parameter D
- -1761.45 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
# C2H4(OH)2 (Ethylene glycol): El-Kashef 2000: n 0.4–0.8 µm
c2h4 = ls.fetch_refractiveindex("organic", "ethylene_glycol", "El-Kashef", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(c2h4.range_nm) # (400, 800) nm
eps = c2h4.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_ecef18dc2aea/lightsmith"
c2h4 = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(c2h4.source) # citation and provenance travel with the data
Any dataset here, as the library's Tabulated material (ethylene-glycol/el-kashef-2000).
# ... load c2h4 as above, then:
sim = ls.Simulation(
particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=c2h4)],
medium_index=1.0,
wavelengths=ls.WavelengthRange(start_nm=400, stop_nm=800, 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 0.4 to 0.8 µm.
Coefficients as stored
| Ci | Value |
|---|---|
| C1 | 1.38682 |
| C2 | 0.017856021 |
| C3 | -2.0 |
Comments and conditions
Conditions
- temperature
- 293 K
References
- doi:10.1016/s0921-4526(99)00856-x The necessary requirements imposed on polar dielectric laser dye solvents, Physica B: Condensed Matter (2000)
Cite
Hassan El-Kashef. The necessary requirements imposed on polar dielectric laser dye solvents. Physica B: Condensed Matter, 279, 295-301 (2000), doi:10.1016/s0921-4526(99)00856-x; 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 | 1.49842 |
| 0.400695 | 1.498033 |
| 0.401392 | 1.497647 |
| 0.40209 | 1.497263 |
| 0.402789 | 1.49688 |
| 0.40349 | 1.496498 |
| 0.404191 | 1.496118 |
| 0.404894 | 1.495739 |
| 0.405598 | 1.495361 |
| 0.406303 | 1.494984 |
| 0.40701 | 1.494609 |
| 0.407717 | 1.494235 |
| 0.408426 | 1.493863 |
| 0.409136 | 1.493492 |
| 0.409848 | 1.493122 |
| 0.41056 | 1.492753 |
| 0.411274 | 1.492385 |
| 0.411989 | 1.492019 |
| 0.412706 | 1.491654 |
| 0.413423 | 1.491291 |
| 0.414142 | 1.490929 |
| 0.414862 | 1.490567 |
| 0.415583 | 1.490208 |
| 0.416306 | 1.489849 |
| 0.41703 | 1.489492 |
| 0.417755 | 1.489136 |
| 0.418481 | 1.488781 |
| 0.419209 | 1.488427 |
| 0.419938 | 1.488075 |
| 0.420668 | 1.487723 |
| 0.421399 | 1.487373 |
| 0.422132 | 1.487025 |
| 0.422866 | 1.486677 |
| 0.423601 | 1.486331 |
| 0.424338 | 1.485986 |
| 0.425076 | 1.485642 |
| 0.425815 | 1.485299 |
| 0.426555 | 1.484957 |
| 0.427297 | 1.484617 |
| 0.42804 | 1.484278 |
| 0.428784 | 1.48394 |
| 0.429529 | 1.483603 |
| 0.430276 | 1.483267 |
| 0.431024 | 1.482933 |
| 0.431774 | 1.482599 |
| 0.432525 | 1.482267 |
| 0.433277 | 1.481936 |
| 0.43403 | 1.481606 |
| 0.434785 | 1.481277 |
| 0.435541 | 1.48095 |
| 0.436298 | 1.480623 |
| 0.437056 | 1.480298 |
| 0.437816 | 1.479974 |
| 0.438578 | 1.479651 |
| 0.43934 | 1.479329 |
| 0.440104 | 1.479008 |
| 0.440869 | 1.478688 |
| 0.441636 | 1.47837 |
| 0.442404 | 1.478052 |
| 0.443173 | 1.477736 |
| 0.443943 | 1.47742 |
| 0.444715 | 1.477106 |
| 0.445489 | 1.476793 |
| 0.446263 | 1.476481 |
| 0.447039 | 1.47617 |
| 0.447816 | 1.47586 |
| 0.448595 | 1.475551 |
| 0.449375 | 1.475243 |
| 0.450156 | 1.474937 |
| 0.450939 | 1.474631 |
| 0.451723 | 1.474326 |
| 0.452508 | 1.474023 |
| 0.453295 | 1.473721 |
| 0.454083 | 1.473419 |
| 0.454873 | 1.473119 |
| 0.455664 | 1.472819 |
| 0.456456 | 1.472521 |
| 0.45725 | 1.472224 |
| 0.458045 | 1.471928 |
| 0.458841 | 1.471632 |
| 0.459639 | 1.471338 |
| 0.460438 | 1.471045 |
| 0.461239 | 1.470753 |
| 0.462041 | 1.470462 |
| 0.462844 | 1.470172 |
| 0.463649 | 1.469883 |
| 0.464455 | 1.469595 |
| 0.465263 | 1.469308 |
| 0.466072 | 1.469021 |
| 0.466882 | 1.468736 |
| 0.467694 | 1.468452 |
| 0.468507 | 1.468169 |
| 0.469321 | 1.467887 |
| 0.470137 | 1.467606 |
| 0.470955 | 1.467326 |
| 0.471774 | 1.467046 |
| 0.472594 | 1.466768 |
| 0.473416 | 1.466491 |
| 0.474239 | 1.466214 |
| 0.475063 | 1.465939 |
| 0.475889 | 1.465665 |
| 0.476717 | 1.465391 |
| 0.477546 | 1.465119 |
| 0.478376 | 1.464847 |
| 0.479208 | 1.464577 |
| 0.480041 | 1.464307 |
| 0.480876 | 1.464038 |
| 0.481712 | 1.46377 |
| 0.482549 | 1.463503 |
| 0.483388 | 1.463237 |
| 0.484229 | 1.462972 |
| 0.485071 | 1.462708 |
| 0.485914 | 1.462445 |
| 0.486759 | 1.462183 |
| 0.487605 | 1.461921 |
| 0.488453 | 1.461661 |
| 0.489303 | 1.461401 |
| 0.490153 | 1.461143 |
| 0.491006 | 1.460885 |
| 0.491859 | 1.460628 |
| 0.492714 | 1.460372 |
| 0.493571 | 1.460117 |
| 0.494429 | 1.459863 |
| 0.495289 | 1.459609 |
| 0.49615 | 1.459357 |
| 0.497013 | 1.459105 |
| 0.497877 | 1.458854 |
| 0.498743 | 1.458605 |
| 0.49961 | 1.458356 |
| 0.500479 | 1.458108 |
| 0.501349 | 1.45786 |
| 0.50222 | 1.457614 |
| 0.503094 | 1.457368 |
| 0.503968 | 1.457124 |
| 0.504845 | 1.45688 |
| 0.505722 | 1.456637 |
| 0.506602 | 1.456395 |
| 0.507483 | 1.456153 |
| 0.508365 | 1.455913 |
| 0.509249 | 1.455673 |
| 0.510134 | 1.455434 |
| 0.511021 | 1.455196 |
| 0.51191 | 1.454959 |
| 0.5128 | 1.454723 |
| 0.513692 | 1.454487 |
| 0.514585 | 1.454253 |
| 0.515479 | 1.454019 |
| 0.516376 | 1.453786 |
| 0.517274 | 1.453554 |
| 0.518173 | 1.453322 |
| 0.519074 | 1.453091 |
| 0.519976 | 1.452862 |
| 0.52088 | 1.452633 |
| 0.521786 | 1.452404 |
| 0.522693 | 1.452177 |
| 0.523602 | 1.45195 |
| 0.524513 | 1.451724 |
| 0.525425 | 1.451499 |
| 0.526338 | 1.451275 |
| 0.527253 | 1.451051 |
| 0.52817 | 1.450828 |
| 0.529088 | 1.450606 |
| 0.530008 | 1.450385 |
| 0.53093 | 1.450165 |
| 0.531853 | 1.449945 |
| 0.532778 | 1.449726 |
| 0.533704 | 1.449508 |
| 0.534632 | 1.44929 |
| 0.535562 | 1.449074 |
| 0.536493 | 1.448858 |
| 0.537426 | 1.448643 |
| 0.53836 | 1.448428 |
| 0.539296 | 1.448215 |
| 0.540234 | 1.448002 |
| 0.541173 | 1.447789 |
| 0.542114 | 1.447578 |
| 0.543057 | 1.447367 |
| 0.544001 | 1.447157 |
| 0.544947 | 1.446948 |
| 0.545894 | 1.446739 |
| 0.546843 | 1.446532 |
| 0.547794 | 1.446324 |
| 0.548747 | 1.446118 |
| 0.549701 | 1.445912 |
| 0.550657 | 1.445707 |
| 0.551614 | 1.445503 |
| 0.552573 | 1.4453 |
| 0.553534 | 1.445097 |
| 0.554496 | 1.444895 |
| 0.55546 | 1.444693 |
| 0.556426 | 1.444493 |
| 0.557394 | 1.444293 |
| 0.558363 | 1.444093 |
| 0.559334 | 1.443895 |
| 0.560306 | 1.443697 |
| 0.56128 | 1.443499 |
| 0.562256 | 1.443303 |
| 0.563234 | 1.443107 |
| 0.564213 | 1.442912 |
| 0.565194 | 1.442717 |
| 0.566177 | 1.442523 |
| 0.567161 | 1.44233 |
| 0.568148 | 1.442137 |
| 0.569135 | 1.441946 |
| 0.570125 | 1.441754 |
| 0.571116 | 1.441564 |
| 0.572109 | 1.441374 |
| 0.573104 | 1.441185 |
| 0.5741 | 1.440996 |
| 0.575099 | 1.440808 |
| 0.576099 | 1.440621 |
| 0.5771 | 1.440434 |
| 0.578104 | 1.440249 |
| 0.579109 | 1.440063 |
| 0.580116 | 1.439879 |
| 0.581124 | 1.439695 |
| 0.582135 | 1.439511 |
| 0.583147 | 1.439328 |
| 0.584161 | 1.439146 |
| 0.585177 | 1.438965 |
| 0.586194 | 1.438784 |
| 0.587213 | 1.438604 |
| 0.588234 | 1.438424 |
| 0.589257 | 1.438245 |
| 0.590282 | 1.438067 |
| 0.591308 | 1.437889 |
| 0.592336 | 1.437712 |
| 0.593366 | 1.437535 |
| 0.594398 | 1.437359 |
| 0.595431 | 1.437184 |
| 0.596466 | 1.437009 |
| 0.597504 | 1.436835 |
| 0.598542 | 1.436662 |
| 0.599583 | 1.436489 |
| 0.600626 | 1.436317 |
| 0.60167 | 1.436145 |
| 0.602716 | 1.435974 |
| 0.603764 | 1.435804 |
| 0.604814 | 1.435634 |
| 0.605865 | 1.435464 |
| 0.606919 | 1.435296 |
| 0.607974 | 1.435127 |
| 0.609031 | 1.43496 |
| 0.61009 | 1.434793 |
| 0.611151 | 1.434627 |
| 0.612214 | 1.434461 |
| 0.613278 | 1.434296 |
| 0.614344 | 1.434131 |
| 0.615413 | 1.433967 |
| 0.616483 | 1.433803 |
| 0.617554 | 1.43364 |
| 0.618628 | 1.433478 |
| 0.619704 | 1.433316 |
| 0.620781 | 1.433155 |
| 0.621861 | 1.432994 |
| 0.622942 | 1.432834 |
| 0.624025 | 1.432674 |
| 0.62511 | 1.432515 |
| 0.626197 | 1.432357 |
| 0.627286 | 1.432199 |
| 0.628376 | 1.432041 |
| 0.629469 | 1.431885 |
| 0.630563 | 1.431728 |
| 0.63166 | 1.431573 |
| 0.632758 | 1.431417 |
| 0.633858 | 1.431263 |
| 0.63496 | 1.431109 |
| 0.636064 | 1.430955 |
| 0.63717 | 1.430802 |
| 0.638278 | 1.430649 |
| 0.639388 | 1.430497 |
| 0.6405 | 1.430346 |
| 0.641613 | 1.430195 |
| 0.642729 | 1.430044 |
| 0.643847 | 1.429894 |
| 0.644966 | 1.429745 |
| 0.646087 | 1.429596 |
| 0.647211 | 1.429448 |
| 0.648336 | 1.4293 |
| 0.649463 | 1.429153 |
| 0.650593 | 1.429006 |
| 0.651724 | 1.42886 |
| 0.652857 | 1.428714 |
| 0.653992 | 1.428568 |
| 0.655129 | 1.428424 |
| 0.656268 | 1.428279 |
| 0.657409 | 1.428135 |
| 0.658552 | 1.427992 |
| 0.659697 | 1.427849 |
| 0.660844 | 1.427707 |
| 0.661993 | 1.427565 |
| 0.663145 | 1.427424 |
| 0.664298 | 1.427283 |
| 0.665453 | 1.427143 |
| 0.66661 | 1.427003 |
| 0.667769 | 1.426864 |
| 0.66893 | 1.426725 |
| 0.670093 | 1.426586 |
| 0.671258 | 1.426448 |
| 0.672425 | 1.426311 |
| 0.673594 | 1.426174 |
| 0.674765 | 1.426037 |
| 0.675939 | 1.425901 |
| 0.677114 | 1.425766 |
| 0.678291 | 1.425631 |
| 0.679471 | 1.425496 |
| 0.680652 | 1.425362 |
| 0.681835 | 1.425228 |
| 0.683021 | 1.425095 |
| 0.684209 | 1.424962 |
| 0.685398 | 1.42483 |
| 0.68659 | 1.424698 |
| 0.687784 | 1.424567 |
| 0.68898 | 1.424436 |
| 0.690177 | 1.424305 |
| 0.691378 | 1.424175 |
| 0.69258 | 1.424046 |
| 0.693784 | 1.423917 |
| 0.69499 | 1.423788 |
| 0.696199 | 1.42366 |
| 0.697409 | 1.423532 |
| 0.698622 | 1.423405 |
| 0.699836 | 1.423278 |
| 0.701053 | 1.423151 |
| 0.702272 | 1.423025 |
| 0.703493 | 1.4229 |
| 0.704716 | 1.422775 |
| 0.705942 | 1.42265 |
| 0.707169 | 1.422526 |
| 0.708399 | 1.422402 |
| 0.70963 | 1.422278 |
| 0.710864 | 1.422156 |
| 0.7121 | 1.422033 |
| 0.713338 | 1.421911 |
| 0.714579 | 1.421789 |
| 0.715821 | 1.421668 |
| 0.717066 | 1.421547 |
| 0.718312 | 1.421427 |
| 0.719561 | 1.421306 |
| 0.720813 | 1.421187 |
| 0.722066 | 1.421068 |
| 0.723321 | 1.420949 |
| 0.724579 | 1.420831 |
| 0.725839 | 1.420713 |
| 0.727101 | 1.420595 |
| 0.728365 | 1.420478 |
| 0.729631 | 1.420361 |
| 0.7309 | 1.420245 |
| 0.732171 | 1.420129 |
| 0.733444 | 1.420013 |
| 0.734719 | 1.419898 |
| 0.735997 | 1.419783 |
| 0.737276 | 1.419669 |
| 0.738558 | 1.419555 |
| 0.739842 | 1.419442 |
| 0.741129 | 1.419329 |
| 0.742417 | 1.419216 |
| 0.743708 | 1.419103 |
| 0.745001 | 1.418991 |
| 0.746297 | 1.41888 |
| 0.747594 | 1.418769 |
| 0.748894 | 1.418658 |
| 0.750196 | 1.418547 |
| 0.751501 | 1.418437 |
| 0.752807 | 1.418328 |
| 0.754116 | 1.418218 |
| 0.755427 | 1.41811 |
| 0.756741 | 1.418001 |
| 0.758057 | 1.417893 |
| 0.759375 | 1.417785 |
| 0.760695 | 1.417678 |
| 0.762018 | 1.417571 |
| 0.763343 | 1.417464 |
| 0.76467 | 1.417358 |
| 0.765999 | 1.417252 |
| 0.767331 | 1.417146 |
| 0.768665 | 1.417041 |
| 0.770002 | 1.416936 |
| 0.771341 | 1.416832 |
| 0.772682 | 1.416728 |
| 0.774025 | 1.416624 |
| 0.775371 | 1.416521 |
| 0.776719 | 1.416418 |
| 0.77807 | 1.416315 |
| 0.779423 | 1.416213 |
| 0.780778 | 1.416111 |
| 0.782135 | 1.416009 |
| 0.783495 | 1.415908 |
| 0.784858 | 1.415807 |
| 0.786222 | 1.415706 |
| 0.787589 | 1.415606 |
| 0.788959 | 1.415506 |
| 0.790331 | 1.415407 |
| 0.791705 | 1.415308 |
| 0.793081 | 1.415209 |
| 0.79446 | 1.41511 |
| 0.795842 | 1.415012 |
| 0.797225 | 1.414915 |
| 0.798611 | 1.414817 |
| 0.8 | 1.41472 |
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