Optical constants
Refractive index of C2H4(OH)2 (Ethylene glycol)
Kozma et al. 2005: n 0.230–0.641 µm
- Data
- formula 5
- Range
- 0.23–0.6407 µm
- Temperature
- 295 K
- Licence
- CC0-1.0
Plot
Click the plot to set the calculator wavelength.
At one wavelength
- Refractive index n
- 1.43184
- Extinction coefficient k
- 0
- Permittivity ε1
- 2.05017
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- —
- Chromatic dispersion dn/dλ
- -0.0255121 µm⁻¹
- Group index ng
- 1.44683
- Group velocity dispersion
- 54.0702 fs²/mm
- Dispersion parameter D
- -294.982 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): Kozma et al. 2005: n 0.230–0.641 µm
c2h4 = ls.fetch_refractiveindex("organic", "ethylene_glycol", "Kozma", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(c2h4.range_nm) # (230, 640.7) 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_3ccb0ddfd200/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/kozma-2005).
# ... 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=640, 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 0.23 to 0.6407 µm.
Coefficients as stored
| Ci | Value |
|---|---|
| C1 | 1.42522 |
| C2 | 0.00198454821 |
| C3 | -2.0 |
| C4 | 0.000104174632 |
| C5 | -4.0 |
Comments and conditions
Conditions
- temperature
- 295 K
References
- doi:10.1364/josab.22.001479 Direct measurement of the group-velocity mismatch and derivation of the refractive-index dispersion for a variety of solvents in the ultraviolet, Journal of the Optical Society of America B (2005)
Cite
Ida Z. Kozma, Patrizia Krok and Eberhard Riedle. Direct measurement of the group-velocity mismatch and derivation of the refractive-index dispersion for a variety of solvents in the ultraviolet. Journal of the Optical Society of America B, 22, 1479 (2005), doi:10.1364/josab.22.001479; 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 |
|---|---|
| 0.23 | 1.499961 |
| 0.230591 | 1.499389 |
| 0.231184 | 1.498821 |
| 0.231779 | 1.498258 |
| 0.232374 | 1.4977 |
| 0.232972 | 1.497147 |
| 0.233571 | 1.496598 |
| 0.234171 | 1.496054 |
| 0.234773 | 1.495515 |
| 0.235377 | 1.49498 |
| 0.235982 | 1.49445 |
| 0.236589 | 1.493924 |
| 0.237197 | 1.493403 |
| 0.237807 | 1.492886 |
| 0.238418 | 1.492373 |
| 0.239031 | 1.491865 |
| 0.239646 | 1.491361 |
| 0.240262 | 1.490861 |
| 0.240879 | 1.490366 |
| 0.241499 | 1.489875 |
| 0.24212 | 1.489387 |
| 0.242742 | 1.488904 |
| 0.243366 | 1.488425 |
| 0.243992 | 1.48795 |
| 0.244619 | 1.487479 |
| 0.245248 | 1.487012 |
| 0.245879 | 1.486548 |
| 0.246511 | 1.486089 |
| 0.247144 | 1.485634 |
| 0.24778 | 1.485182 |
| 0.248417 | 1.484734 |
| 0.249055 | 1.48429 |
| 0.249696 | 1.483849 |
| 0.250338 | 1.483412 |
| 0.250981 | 1.482979 |
| 0.251627 | 1.482549 |
| 0.252273 | 1.482123 |
| 0.252922 | 1.481701 |
| 0.253572 | 1.481282 |
| 0.254224 | 1.480866 |
| 0.254878 | 1.480454 |
| 0.255533 | 1.480045 |
| 0.25619 | 1.47964 |
| 0.256849 | 1.479238 |
| 0.257509 | 1.478839 |
| 0.258171 | 1.478444 |
| 0.258835 | 1.478052 |
| 0.2595 | 1.477663 |
| 0.260167 | 1.477277 |
| 0.260836 | 1.476895 |
| 0.261507 | 1.476515 |
| 0.262179 | 1.476139 |
| 0.262853 | 1.475766 |
| 0.263529 | 1.475396 |
| 0.264207 | 1.475029 |
| 0.264886 | 1.474665 |
| 0.265567 | 1.474304 |
| 0.26625 | 1.473946 |
| 0.266934 | 1.47359 |
| 0.26762 | 1.473238 |
| 0.268308 | 1.472889 |
| 0.268998 | 1.472542 |
| 0.26969 | 1.472198 |
| 0.270383 | 1.471857 |
| 0.271078 | 1.471519 |
| 0.271775 | 1.471184 |
| 0.272474 | 1.470851 |
| 0.273174 | 1.470521 |
| 0.273877 | 1.470193 |
| 0.274581 | 1.469869 |
| 0.275287 | 1.469547 |
| 0.275994 | 1.469227 |
| 0.276704 | 1.46891 |
| 0.277415 | 1.468596 |
| 0.278129 | 1.468284 |
| 0.278844 | 1.467975 |
| 0.279561 | 1.467668 |
| 0.280279 | 1.467364 |
| 0.281 | 1.467062 |
| 0.281722 | 1.466762 |
| 0.282447 | 1.466465 |
| 0.283173 | 1.466171 |
| 0.283901 | 1.465878 |
| 0.284631 | 1.465588 |
| 0.285362 | 1.465301 |
| 0.286096 | 1.465015 |
| 0.286832 | 1.464732 |
| 0.287569 | 1.464451 |
| 0.288308 | 1.464173 |
| 0.289049 | 1.463897 |
| 0.289793 | 1.463622 |
| 0.290538 | 1.46335 |
| 0.291285 | 1.463081 |
| 0.292033 | 1.462813 |
| 0.292784 | 1.462547 |
| 0.293537 | 1.462284 |
| 0.294292 | 1.462023 |
| 0.295048 | 1.461763 |
| 0.295807 | 1.461506 |
| 0.296567 | 1.461251 |
| 0.29733 | 1.460998 |
| 0.298094 | 1.460747 |
| 0.298861 | 1.460497 |
| 0.299629 | 1.46025 |
| 0.300399 | 1.460005 |
| 0.301171 | 1.459761 |
| 0.301946 | 1.45952 |
| 0.302722 | 1.45928 |
| 0.3035 | 1.459043 |
| 0.304281 | 1.458807 |
| 0.305063 | 1.458573 |
| 0.305847 | 1.458341 |
| 0.306633 | 1.458111 |
| 0.307422 | 1.457882 |
| 0.308212 | 1.457655 |
| 0.309005 | 1.45743 |
| 0.309799 | 1.457207 |
| 0.310595 | 1.456986 |
| 0.311394 | 1.456766 |
| 0.312195 | 1.456548 |
| 0.312997 | 1.456332 |
| 0.313802 | 1.456117 |
| 0.314609 | 1.455904 |
| 0.315417 | 1.455693 |
| 0.316228 | 1.455483 |
| 0.317041 | 1.455275 |
| 0.317856 | 1.455068 |
| 0.318674 | 1.454863 |
| 0.319493 | 1.45466 |
| 0.320314 | 1.454458 |
| 0.321138 | 1.454258 |
| 0.321963 | 1.454059 |
| 0.322791 | 1.453862 |
| 0.323621 | 1.453667 |
| 0.324453 | 1.453473 |
| 0.325287 | 1.45328 |
| 0.326124 | 1.453089 |
| 0.326962 | 1.452899 |
| 0.327803 | 1.452711 |
| 0.328645 | 1.452524 |
| 0.32949 | 1.452339 |
| 0.330337 | 1.452155 |
| 0.331187 | 1.451972 |
| 0.332038 | 1.451791 |
| 0.332892 | 1.451611 |
| 0.333748 | 1.451433 |
| 0.334606 | 1.451256 |
| 0.335466 | 1.45108 |
| 0.336328 | 1.450906 |
| 0.337193 | 1.450733 |
| 0.33806 | 1.450561 |
| 0.338929 | 1.450391 |
| 0.3398 | 1.450221 |
| 0.340674 | 1.450054 |
| 0.34155 | 1.449887 |
| 0.342428 | 1.449722 |
| 0.343308 | 1.449557 |
| 0.344191 | 1.449395 |
| 0.345076 | 1.449233 |
| 0.345963 | 1.449073 |
| 0.346852 | 1.448913 |
| 0.347744 | 1.448755 |
| 0.348638 | 1.448598 |
| 0.349534 | 1.448443 |
| 0.350433 | 1.448288 |
| 0.351334 | 1.448135 |
| 0.352237 | 1.447983 |
| 0.353143 | 1.447832 |
| 0.354051 | 1.447682 |
| 0.354961 | 1.447533 |
| 0.355874 | 1.447385 |
| 0.356788 | 1.447238 |
| 0.357706 | 1.447093 |
| 0.358625 | 1.446948 |
| 0.359547 | 1.446805 |
| 0.360472 | 1.446663 |
| 0.361398 | 1.446521 |
| 0.362328 | 1.446381 |
| 0.363259 | 1.446242 |
| 0.364193 | 1.446104 |
| 0.365129 | 1.445967 |
| 0.366068 | 1.445831 |
| 0.367009 | 1.445695 |
| 0.367953 | 1.445561 |
| 0.368899 | 1.445428 |
| 0.369847 | 1.445296 |
| 0.370798 | 1.445165 |
| 0.371751 | 1.445035 |
| 0.372707 | 1.444905 |
| 0.373665 | 1.444777 |
| 0.374626 | 1.44465 |
| 0.375589 | 1.444523 |
| 0.376555 | 1.444397 |
| 0.377523 | 1.444273 |
| 0.378493 | 1.444149 |
| 0.379466 | 1.444026 |
| 0.380442 | 1.443904 |
| 0.38142 | 1.443783 |
| 0.382401 | 1.443663 |
| 0.383384 | 1.443544 |
| 0.384369 | 1.443425 |
| 0.385358 | 1.443308 |
| 0.386348 | 1.443191 |
| 0.387342 | 1.443075 |
| 0.388337 | 1.44296 |
| 0.389336 | 1.442846 |
| 0.390337 | 1.442733 |
| 0.39134 | 1.44262 |
| 0.392346 | 1.442508 |
| 0.393355 | 1.442397 |
| 0.394366 | 1.442287 |
| 0.39538 | 1.442178 |
| 0.396397 | 1.442069 |
| 0.397416 | 1.441961 |
| 0.398438 | 1.441854 |
| 0.399462 | 1.441748 |
| 0.400489 | 1.441643 |
| 0.401519 | 1.441538 |
| 0.402551 | 1.441434 |
| 0.403586 | 1.441331 |
| 0.404623 | 1.441228 |
| 0.405664 | 1.441126 |
| 0.406707 | 1.441025 |
| 0.407752 | 1.440925 |
| 0.4088 | 1.440825 |
| 0.409851 | 1.440726 |
| 0.410905 | 1.440628 |
| 0.411962 | 1.44053 |
| 0.413021 | 1.440434 |
| 0.414083 | 1.440337 |
| 0.415147 | 1.440242 |
| 0.416214 | 1.440147 |
| 0.417284 | 1.440053 |
| 0.418357 | 1.43996 |
| 0.419433 | 1.439867 |
| 0.420511 | 1.439775 |
| 0.421592 | 1.439683 |
| 0.422676 | 1.439592 |
| 0.423763 | 1.439502 |
| 0.424852 | 1.439412 |
| 0.425945 | 1.439323 |
| 0.42704 | 1.439235 |
| 0.428137 | 1.439147 |
| 0.429238 | 1.43906 |
| 0.430342 | 1.438973 |
| 0.431448 | 1.438888 |
| 0.432557 | 1.438802 |
| 0.433669 | 1.438718 |
| 0.434784 | 1.438633 |
| 0.435902 | 1.43855 |
| 0.437023 | 1.438467 |
| 0.438146 | 1.438384 |
| 0.439273 | 1.438303 |
| 0.440402 | 1.438221 |
| 0.441534 | 1.438141 |
| 0.44267 | 1.43806 |
| 0.443808 | 1.437981 |
| 0.444949 | 1.437902 |
| 0.446092 | 1.437823 |
| 0.447239 | 1.437745 |
| 0.448389 | 1.437668 |
| 0.449542 | 1.437591 |
| 0.450698 | 1.437515 |
| 0.451856 | 1.437439 |
| 0.453018 | 1.437364 |
| 0.454183 | 1.437289 |
| 0.45535 | 1.437214 |
| 0.456521 | 1.437141 |
| 0.457695 | 1.437067 |
| 0.458871 | 1.436995 |
| 0.460051 | 1.436922 |
| 0.461234 | 1.436851 |
| 0.46242 | 1.436779 |
| 0.463609 | 1.436708 |
| 0.464801 | 1.436638 |
| 0.465995 | 1.436568 |
| 0.467194 | 1.436499 |
| 0.468395 | 1.43643 |
| 0.469599 | 1.436361 |
| 0.470806 | 1.436293 |
| 0.472017 | 1.436226 |
| 0.47323 | 1.436159 |
| 0.474447 | 1.436092 |
| 0.475666 | 1.436026 |
| 0.476889 | 1.43596 |
| 0.478115 | 1.435895 |
| 0.479345 | 1.43583 |
| 0.480577 | 1.435766 |
| 0.481813 | 1.435702 |
| 0.483051 | 1.435638 |
| 0.484293 | 1.435575 |
| 0.485538 | 1.435513 |
| 0.486786 | 1.43545 |
| 0.488038 | 1.435388 |
| 0.489293 | 1.435327 |
| 0.490551 | 1.435266 |
| 0.491812 | 1.435205 |
| 0.493076 | 1.435145 |
| 0.494344 | 1.435085 |
| 0.495615 | 1.435026 |
| 0.496889 | 1.434967 |
| 0.498166 | 1.434908 |
| 0.499447 | 1.43485 |
| 0.500731 | 1.434792 |
| 0.502019 | 1.434735 |
| 0.503309 | 1.434678 |
| 0.504603 | 1.434621 |
| 0.5059 | 1.434564 |
| 0.507201 | 1.434509 |
| 0.508505 | 1.434453 |
| 0.509812 | 1.434398 |
| 0.511123 | 1.434343 |
| 0.512437 | 1.434288 |
| 0.513755 | 1.434234 |
| 0.515075 | 1.43418 |
| 0.5164 | 1.434127 |
| 0.517727 | 1.434074 |
| 0.519058 | 1.434021 |
| 0.520393 | 1.433969 |
| 0.521731 | 1.433917 |
| 0.523072 | 1.433865 |
| 0.524417 | 1.433814 |
| 0.525765 | 1.433763 |
| 0.527117 | 1.433712 |
| 0.528472 | 1.433661 |
| 0.529831 | 1.433611 |
| 0.531193 | 1.433562 |
| 0.532558 | 1.433512 |
| 0.533927 | 1.433463 |
| 0.5353 | 1.433414 |
| 0.536676 | 1.433366 |
| 0.538056 | 1.433318 |
| 0.539439 | 1.43327 |
| 0.540826 | 1.433223 |
| 0.542217 | 1.433175 |
| 0.543611 | 1.433129 |
| 0.545008 | 1.433082 |
| 0.546409 | 1.433036 |
| 0.547814 | 1.43299 |
| 0.549223 | 1.432944 |
| 0.550635 | 1.432899 |
| 0.55205 | 1.432853 |
| 0.55347 | 1.432809 |
| 0.554892 | 1.432764 |
| 0.556319 | 1.43272 |
| 0.557749 | 1.432676 |
| 0.559183 | 1.432632 |
| 0.560621 | 1.432589 |
| 0.562062 | 1.432546 |
| 0.563507 | 1.432503 |
| 0.564956 | 1.43246 |
| 0.566408 | 1.432418 |
| 0.567865 | 1.432376 |
| 0.569325 | 1.432334 |
| 0.570788 | 1.432293 |
| 0.572256 | 1.432252 |
| 0.573727 | 1.432211 |
| 0.575202 | 1.43217 |
| 0.576681 | 1.432129 |
| 0.578163 | 1.432089 |
| 0.57965 | 1.432049 |
| 0.58114 | 1.43201 |
| 0.582634 | 1.43197 |
| 0.584132 | 1.431931 |
| 0.585634 | 1.431892 |
| 0.587139 | 1.431853 |
| 0.588649 | 1.431815 |
| 0.590162 | 1.431777 |
| 0.591679 | 1.431739 |
| 0.593201 | 1.431701 |
| 0.594726 | 1.431664 |
| 0.596255 | 1.431626 |
| 0.597788 | 1.431589 |
| 0.599324 | 1.431553 |
| 0.600865 | 1.431516 |
| 0.60241 | 1.43148 |
| 0.603959 | 1.431444 |
| 0.605512 | 1.431408 |
| 0.607068 | 1.431372 |
| 0.608629 | 1.431337 |
| 0.610194 | 1.431301 |
| 0.611762 | 1.431266 |
| 0.613335 | 1.431232 |
| 0.614912 | 1.431197 |
| 0.616493 | 1.431163 |
| 0.618078 | 1.431129 |
| 0.619667 | 1.431095 |
| 0.62126 | 1.431061 |
| 0.622857 | 1.431028 |
| 0.624459 | 1.430994 |
| 0.626064 | 1.430961 |
| 0.627674 | 1.430928 |
| 0.629287 | 1.430896 |
| 0.630905 | 1.430863 |
| 0.632527 | 1.430831 |
| 0.634153 | 1.430799 |
| 0.635784 | 1.430767 |
| 0.637418 | 1.430735 |
| 0.639057 | 1.430704 |
| 0.6407 | 1.430673 |
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
- —
22 °C