Optical constants
Refractive index of C4H8O2 (Dioxane)
Moutzouris et al. 2013: n 0.450–1.55 µm
- Data
- formula 3
- Range
- 0.45–1.551 µm
- Temperature
- 300 K
- Licence
- CC0-1.0
Plot
Click the plot to set the calculator wavelength.
At one wavelength
- Refractive index n
- 1.42027
- Extinction coefficient k
- 0
- Permittivity ε1
- 2.01716
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- 64.071
- Chromatic dispersion dn/dλ
- -0.0317106 µm⁻¹
- Group index ng
- 1.4389
- Group velocity dispersion
- 74.1855 fs²/mm
- Dispersion parameter D
- -404.721 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
# C4H8O2 (Dioxane): Moutzouris et al. 2013: n 0.450–1.55 µm
c4h8o2 = ls.fetch_refractiveindex("organic", "dioxane", "Moutzouris", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(c4h8o2.range_nm) # (450, 1551) nm
eps = c4h8o2.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_a28d22dce9f0/lightsmith"
c4h8o2 = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(c4h8o2.source) # citation and provenance travel with the data
Any dataset here, as the library's Tabulated material (dioxane/moutzouris-2013).
# ... load c4h8o2 as above, then:
sim = ls.Simulation(
particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=c4h8o2)],
medium_index=1.0,
wavelengths=ls.WavelengthRange(start_nm=450, 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"]).
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
Polynomial (formula 3), λ in µmValid from 0.45 to 1.551 µm.
Coefficients as stored
| Ci | Value |
|---|---|
| C1 | 1.996073056 |
| C2 | -0.00163203 |
| C3 | 2.0 |
| C4 | 0.00665705 |
| C5 | -2.0 |
| C6 | 6.00055e-05 |
| C7 | -4.0 |
| C8 | 7.70185e-05 |
| C9 | -6.0 |
Comments and conditions
Conditions
- temperature
- 300 K
References
- doi:10.1007/s00340-013-5744-3 Refractive, dispersive and thermo-optic properties of twelve organic solvents in the visible and near-infrared, Applied Physics B (2013)
Cite
Konstantinos Moutzouris et al.. Refractive, dispersive and thermo-optic properties of twelve organic solvents in the visible and near-infrared. Applied Physics B, 116, 617-622 (2013), doi:10.1007/s00340-013-5744-3; 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 |
|---|---|
| 0.45 | 1.42806 |
| 0.451398 | 1.427922 |
| 0.4528 | 1.427785 |
| 0.454206 | 1.427651 |
| 0.455617 | 1.427517 |
| 0.457032 | 1.427385 |
| 0.458452 | 1.427255 |
| 0.459876 | 1.427126 |
| 0.461304 | 1.426999 |
| 0.462737 | 1.426873 |
| 0.464174 | 1.426749 |
| 0.465616 | 1.426626 |
| 0.467062 | 1.426504 |
| 0.468513 | 1.426384 |
| 0.469968 | 1.426265 |
| 0.471428 | 1.426147 |
| 0.472892 | 1.426031 |
| 0.474361 | 1.425916 |
| 0.475835 | 1.425802 |
| 0.477313 | 1.425689 |
| 0.478795 | 1.425578 |
| 0.480282 | 1.425468 |
| 0.481774 | 1.425359 |
| 0.483271 | 1.425251 |
| 0.484772 | 1.425145 |
| 0.486277 | 1.425039 |
| 0.487788 | 1.424935 |
| 0.489303 | 1.424832 |
| 0.490823 | 1.42473 |
| 0.492347 | 1.424629 |
| 0.493877 | 1.424529 |
| 0.495411 | 1.42443 |
| 0.496949 | 1.424333 |
| 0.498493 | 1.424236 |
| 0.500041 | 1.42414 |
| 0.501595 | 1.424045 |
| 0.503153 | 1.423952 |
| 0.504715 | 1.423859 |
| 0.506283 | 1.423767 |
| 0.507856 | 1.423676 |
| 0.509433 | 1.423586 |
| 0.511015 | 1.423497 |
| 0.512603 | 1.423409 |
| 0.514195 | 1.423322 |
| 0.515792 | 1.423236 |
| 0.517394 | 1.42315 |
| 0.519001 | 1.423065 |
| 0.520613 | 1.422982 |
| 0.52223 | 1.422899 |
| 0.523852 | 1.422817 |
| 0.52548 | 1.422735 |
| 0.527112 | 1.422655 |
| 0.528749 | 1.422575 |
| 0.530391 | 1.422496 |
| 0.532039 | 1.422418 |
| 0.533691 | 1.422341 |
| 0.535349 | 1.422264 |
| 0.537012 | 1.422188 |
| 0.53868 | 1.422113 |
| 0.540353 | 1.422039 |
| 0.542031 | 1.421965 |
| 0.543715 | 1.421892 |
| 0.545404 | 1.42182 |
| 0.547098 | 1.421748 |
| 0.548797 | 1.421677 |
| 0.550502 | 1.421607 |
| 0.552212 | 1.421537 |
| 0.553927 | 1.421468 |
| 0.555647 | 1.4214 |
| 0.557373 | 1.421332 |
| 0.559105 | 1.421265 |
| 0.560841 | 1.421199 |
| 0.562583 | 1.421133 |
| 0.564331 | 1.421067 |
| 0.566084 | 1.421003 |
| 0.567842 | 1.420939 |
| 0.569606 | 1.420875 |
| 0.571375 | 1.420812 |
| 0.57315 | 1.42075 |
| 0.57493 | 1.420688 |
| 0.576716 | 1.420627 |
| 0.578507 | 1.420566 |
| 0.580304 | 1.420506 |
| 0.582106 | 1.420447 |
| 0.583914 | 1.420387 |
| 0.585728 | 1.420329 |
| 0.587547 | 1.420271 |
| 0.589372 | 1.420213 |
| 0.591203 | 1.420156 |
| 0.593039 | 1.4201 |
| 0.594881 | 1.420044 |
| 0.596729 | 1.419988 |
| 0.598583 | 1.419933 |
| 0.600442 | 1.419878 |
| 0.602307 | 1.419824 |
| 0.604178 | 1.41977 |
| 0.606054 | 1.419717 |
| 0.607937 | 1.419664 |
| 0.609825 | 1.419612 |
| 0.611719 | 1.41956 |
| 0.613619 | 1.419509 |
| 0.615525 | 1.419458 |
| 0.617437 | 1.419407 |
| 0.619355 | 1.419357 |
| 0.621279 | 1.419307 |
| 0.623209 | 1.419257 |
| 0.625144 | 1.419208 |
| 0.627086 | 1.41916 |
| 0.629034 | 1.419112 |
| 0.630988 | 1.419064 |
| 0.632948 | 1.419016 |
| 0.634914 | 1.418969 |
| 0.636886 | 1.418923 |
| 0.638864 | 1.418876 |
| 0.640848 | 1.418831 |
| 0.642839 | 1.418785 |
| 0.644835 | 1.41874 |
| 0.646838 | 1.418695 |
| 0.648847 | 1.41865 |
| 0.650863 | 1.418606 |
| 0.652885 | 1.418562 |
| 0.654912 | 1.418519 |
| 0.656947 | 1.418476 |
| 0.658987 | 1.418433 |
| 0.661034 | 1.418391 |
| 0.663087 | 1.418348 |
| 0.665147 | 1.418307 |
| 0.667213 | 1.418265 |
| 0.669285 | 1.418224 |
| 0.671364 | 1.418183 |
| 0.673449 | 1.418143 |
| 0.675541 | 1.418102 |
| 0.67764 | 1.418062 |
| 0.679744 | 1.418023 |
| 0.681856 | 1.417983 |
| 0.683974 | 1.417944 |
| 0.686098 | 1.417905 |
| 0.688229 | 1.417867 |
| 0.690367 | 1.417829 |
| 0.692511 | 1.417791 |
| 0.694662 | 1.417753 |
| 0.69682 | 1.417716 |
| 0.698984 | 1.417679 |
| 0.701155 | 1.417642 |
| 0.703333 | 1.417605 |
| 0.705518 | 1.417569 |
| 0.707709 | 1.417533 |
| 0.709907 | 1.417497 |
| 0.712112 | 1.417461 |
| 0.714324 | 1.417426 |
| 0.716543 | 1.417391 |
| 0.718769 | 1.417356 |
| 0.721001 | 1.417322 |
| 0.723241 | 1.417287 |
| 0.725487 | 1.417253 |
| 0.727741 | 1.417219 |
| 0.730001 | 1.417186 |
| 0.732269 | 1.417152 |
| 0.734543 | 1.417119 |
| 0.736825 | 1.417086 |
| 0.739113 | 1.417054 |
| 0.741409 | 1.417021 |
| 0.743712 | 1.416989 |
| 0.746022 | 1.416957 |
| 0.748339 | 1.416925 |
| 0.750664 | 1.416893 |
| 0.752995 | 1.416862 |
| 0.755334 | 1.416831 |
| 0.75768 | 1.4168 |
| 0.760034 | 1.416769 |
| 0.762394 | 1.416738 |
| 0.764762 | 1.416708 |
| 0.767138 | 1.416678 |
| 0.769521 | 1.416648 |
| 0.771911 | 1.416618 |
| 0.774308 | 1.416588 |
| 0.776713 | 1.416559 |
| 0.779126 | 1.41653 |
| 0.781546 | 1.4165 |
| 0.783974 | 1.416472 |
| 0.786409 | 1.416443 |
| 0.788851 | 1.416414 |
| 0.791302 | 1.416386 |
| 0.793759 | 1.416358 |
| 0.796225 | 1.41633 |
| 0.798698 | 1.416302 |
| 0.801179 | 1.416274 |
| 0.803667 | 1.416247 |
| 0.806164 | 1.41622 |
| 0.808668 | 1.416193 |
| 0.811179 | 1.416166 |
| 0.813699 | 1.416139 |
| 0.816226 | 1.416112 |
| 0.818762 | 1.416086 |
| 0.821305 | 1.416059 |
| 0.823856 | 1.416033 |
| 0.826415 | 1.416007 |
| 0.828982 | 1.415981 |
| 0.831557 | 1.415956 |
| 0.83414 | 1.41593 |
| 0.83673 | 1.415905 |
| 0.839329 | 1.415879 |
| 0.841936 | 1.415854 |
| 0.844552 | 1.415829 |
| 0.847175 | 1.415804 |
| 0.849806 | 1.41578 |
| 0.852446 | 1.415755 |
| 0.855094 | 1.415731 |
| 0.85775 | 1.415706 |
| 0.860414 | 1.415682 |
| 0.863086 | 1.415658 |
| 0.865767 | 1.415634 |
| 0.868456 | 1.415611 |
| 0.871154 | 1.415587 |
| 0.87386 | 1.415564 |
| 0.876574 | 1.41554 |
| 0.879297 | 1.415517 |
| 0.882028 | 1.415494 |
| 0.884768 | 1.415471 |
| 0.887516 | 1.415448 |
| 0.890272 | 1.415425 |
| 0.893038 | 1.415403 |
| 0.895811 | 1.41538 |
| 0.898594 | 1.415358 |
| 0.901385 | 1.415336 |
| 0.904185 | 1.415313 |
| 0.906993 | 1.415291 |
| 0.909811 | 1.41527 |
| 0.912636 | 1.415248 |
| 0.915471 | 1.415226 |
| 0.918315 | 1.415204 |
| 0.921167 | 1.415183 |
| 0.924028 | 1.415162 |
| 0.926898 | 1.41514 |
| 0.929777 | 1.415119 |
| 0.932665 | 1.415098 |
| 0.935562 | 1.415077 |
| 0.938468 | 1.415056 |
| 0.941383 | 1.415036 |
| 0.944307 | 1.415015 |
| 0.94724 | 1.414994 |
| 0.950183 | 1.414974 |
| 0.953134 | 1.414954 |
| 0.956094 | 1.414933 |
| 0.959064 | 1.414913 |
| 0.962043 | 1.414893 |
| 0.965031 | 1.414873 |
| 0.968029 | 1.414853 |
| 0.971036 | 1.414833 |
| 0.974052 | 1.414814 |
| 0.977077 | 1.414794 |
| 0.980112 | 1.414775 |
| 0.983156 | 1.414755 |
| 0.98621 | 1.414736 |
| 0.989273 | 1.414717 |
| 0.992346 | 1.414697 |
| 0.995428 | 1.414678 |
| 0.99852 | 1.414659 |
| 1.00162 | 1.41464 |
| 1.00473 | 1.414621 |
| 1.00785 | 1.414603 |
| 1.01098 | 1.414584 |
| 1.01412 | 1.414565 |
| 1.01727 | 1.414547 |
| 1.02043 | 1.414528 |
| 1.0236 | 1.41451 |
| 1.02678 | 1.414492 |
| 1.02997 | 1.414473 |
| 1.03317 | 1.414455 |
| 1.03638 | 1.414437 |
| 1.0396 | 1.414419 |
| 1.04283 | 1.414401 |
| 1.04607 | 1.414383 |
| 1.04932 | 1.414365 |
| 1.05258 | 1.414348 |
| 1.05585 | 1.41433 |
| 1.05913 | 1.414312 |
| 1.06242 | 1.414295 |
| 1.06572 | 1.414277 |
| 1.06903 | 1.41426 |
| 1.07235 | 1.414242 |
| 1.07568 | 1.414225 |
| 1.07902 | 1.414208 |
| 1.08237 | 1.414191 |
| 1.08573 | 1.414173 |
| 1.0891 | 1.414156 |
| 1.09249 | 1.414139 |
| 1.09588 | 1.414122 |
| 1.09928 | 1.414106 |
| 1.1027 | 1.414089 |
| 1.10612 | 1.414072 |
| 1.10956 | 1.414055 |
| 1.11301 | 1.414038 |
| 1.11646 | 1.414022 |
| 1.11993 | 1.414005 |
| 1.12341 | 1.413989 |
| 1.1269 | 1.413972 |
| 1.1304 | 1.413956 |
| 1.13391 | 1.413939 |
| 1.13743 | 1.413923 |
| 1.14096 | 1.413907 |
| 1.14451 | 1.413891 |
| 1.14806 | 1.413874 |
| 1.15163 | 1.413858 |
| 1.15521 | 1.413842 |
| 1.15879 | 1.413826 |
| 1.16239 | 1.41381 |
| 1.166 | 1.413794 |
| 1.16963 | 1.413778 |
| 1.17326 | 1.413762 |
| 1.1769 | 1.413746 |
| 1.18056 | 1.413731 |
| 1.18423 | 1.413715 |
| 1.1879 | 1.413699 |
| 1.19159 | 1.413683 |
| 1.1953 | 1.413668 |
| 1.19901 | 1.413652 |
| 1.20273 | 1.413637 |
| 1.20647 | 1.413621 |
| 1.21022 | 1.413605 |
| 1.21397 | 1.41359 |
| 1.21774 | 1.413575 |
| 1.22153 | 1.413559 |
| 1.22532 | 1.413544 |
| 1.22913 | 1.413528 |
| 1.23295 | 1.413513 |
| 1.23677 | 1.413498 |
| 1.24062 | 1.413483 |
| 1.24447 | 1.413467 |
| 1.24834 | 1.413452 |
| 1.25221 | 1.413437 |
| 1.2561 | 1.413422 |
| 1.26 | 1.413407 |
| 1.26392 | 1.413391 |
| 1.26784 | 1.413376 |
| 1.27178 | 1.413361 |
| 1.27573 | 1.413346 |
| 1.27969 | 1.413331 |
| 1.28367 | 1.413316 |
| 1.28766 | 1.413301 |
| 1.29166 | 1.413286 |
| 1.29567 | 1.413271 |
| 1.29969 | 1.413257 |
| 1.30373 | 1.413242 |
| 1.30778 | 1.413227 |
| 1.31184 | 1.413212 |
| 1.31592 | 1.413197 |
| 1.32 | 1.413182 |
| 1.3241 | 1.413168 |
| 1.32822 | 1.413153 |
| 1.33234 | 1.413138 |
| 1.33648 | 1.413123 |
| 1.34063 | 1.413108 |
| 1.34479 | 1.413094 |
| 1.34897 | 1.413079 |
| 1.35316 | 1.413064 |
| 1.35736 | 1.41305 |
| 1.36158 | 1.413035 |
| 1.36581 | 1.41302 |
| 1.37005 | 1.413006 |
| 1.37431 | 1.412991 |
| 1.37858 | 1.412976 |
| 1.38286 | 1.412962 |
| 1.38715 | 1.412947 |
| 1.39146 | 1.412932 |
| 1.39578 | 1.412918 |
| 1.40012 | 1.412903 |
| 1.40447 | 1.412889 |
| 1.40883 | 1.412874 |
| 1.41321 | 1.412859 |
| 1.4176 | 1.412845 |
| 1.422 | 1.41283 |
| 1.42642 | 1.412816 |
| 1.43085 | 1.412801 |
| 1.43529 | 1.412786 |
| 1.43975 | 1.412772 |
| 1.44422 | 1.412757 |
| 1.44871 | 1.412743 |
| 1.45321 | 1.412728 |
| 1.45772 | 1.412713 |
| 1.46225 | 1.412699 |
| 1.46679 | 1.412684 |
| 1.47135 | 1.41267 |
| 1.47592 | 1.412655 |
| 1.4805 | 1.41264 |
| 1.4851 | 1.412626 |
| 1.48971 | 1.412611 |
| 1.49434 | 1.412596 |
| 1.49898 | 1.412582 |
| 1.50364 | 1.412567 |
| 1.50831 | 1.412552 |
| 1.51299 | 1.412538 |
| 1.51769 | 1.412523 |
| 1.52241 | 1.412508 |
| 1.52714 | 1.412494 |
| 1.53188 | 1.412479 |
| 1.53664 | 1.412464 |
| 1.54141 | 1.41245 |
| 1.5462 | 1.412435 |
| 1.551 | 1.41242 |
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
- —
1,4-Dioxane (p-Dioxane); 300 K (27 °C).