Optical constants
Refractive index of C2H6OS (Dimethyl sulfoxide, DMSO)
Li et al. 2022: n 0.2–1.7 µm
- Data
- formula 5
- Range
- 0.2–1.7 µm
- Licence
- CC0-1.0
Plot
Click the plot to set the calculator wavelength.
At one wavelength
- Refractive index n
- 1.47985
- Extinction coefficient k
- 0
- Permittivity ε1
- 2.18996
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- 33.294
- Chromatic dispersion dn/dλ
- -0.0742909 µm⁻¹
- Group index ng
- 1.5235
- Group velocity dispersion
- 135.259 fs²/mm
- Dispersion parameter D
- -737.91 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
# C2H6OS (Dimethyl sulfoxide, DMSO): Li et al. 2022: n 0.2–1.7 µm
c2h6os = ls.fetch_refractiveindex("organic", "dimethyl_sulfoxide", "Li", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(c2h6os.range_nm) # (200, 1700) nm
eps = c2h6os.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_a3c233f64e63/lightsmith"
c2h6os = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(c2h6os.source) # citation and provenance travel with the data
Any dataset here, as the library's Tabulated material (dimethyl-sulfoxide/li-2022).
# ... load c2h6os as above, then:
sim = ls.Simulation(
particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=c2h6os)],
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"]).
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 0.2 to 1.7 µm.
Coefficients as stored
| Ci | Value |
|---|---|
| C1 | 1.4575 |
| C2 | 0.008036 |
| C3 | -2.0 |
| C4 | -0.0001581 |
| C5 | -4.0 |
| C6 | 1.653e-05 |
| C7 | -6.0 |
Comments and conditions
References
- doi:10.1016/j.infrared.2022.104313 Ellipsometry-transmission measurement of the complex refractive indices for a series of organic solvents in the 200–1700 nm spectral range, Infrared Physics & Technology (2022)
Cite
Xiaoning Li, Chengchao Wang, Lanxin Ma and Linhua Liu. Ellipsometry-transmission measurement of the complex refractive indices for a series of organic solvents in the 200–1700 nm spectral range. Infrared Physics & Technology, 125, 104313 (2022), doi:10.1016/j.infrared.2022.104313; 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 |
|---|---|
| 0.2 | 1.817869 |
| 0.201076 | 1.809643 |
| 0.202157 | 1.801655 |
| 0.203244 | 1.793896 |
| 0.204337 | 1.78636 |
| 0.205436 | 1.77904 |
| 0.206541 | 1.771929 |
| 0.207652 | 1.76502 |
| 0.208768 | 1.758306 |
| 0.209891 | 1.751783 |
| 0.21102 | 1.745443 |
| 0.212155 | 1.739281 |
| 0.213296 | 1.733291 |
| 0.214443 | 1.727469 |
| 0.215596 | 1.721808 |
| 0.216756 | 1.716304 |
| 0.217921 | 1.710951 |
| 0.219093 | 1.705746 |
| 0.220272 | 1.700683 |
| 0.221456 | 1.695758 |
| 0.222647 | 1.690967 |
| 0.223845 | 1.686306 |
| 0.225049 | 1.68177 |
| 0.226259 | 1.677356 |
| 0.227476 | 1.67306 |
| 0.228699 | 1.668878 |
| 0.229929 | 1.664806 |
| 0.231165 | 1.660842 |
| 0.232409 | 1.656982 |
| 0.233659 | 1.653223 |
| 0.234915 | 1.649562 |
| 0.236179 | 1.645995 |
| 0.237449 | 1.64252 |
| 0.238726 | 1.639134 |
| 0.24001 | 1.635835 |
| 0.2413 | 1.632619 |
| 0.242598 | 1.629484 |
| 0.243903 | 1.626428 |
| 0.245214 | 1.623449 |
| 0.246533 | 1.620543 |
| 0.247859 | 1.617709 |
| 0.249192 | 1.614945 |
| 0.250532 | 1.612248 |
| 0.25188 | 1.609617 |
| 0.253234 | 1.607049 |
| 0.254596 | 1.604543 |
| 0.255965 | 1.602097 |
| 0.257342 | 1.599708 |
| 0.258726 | 1.597376 |
| 0.260117 | 1.595099 |
| 0.261516 | 1.592875 |
| 0.262923 | 1.590702 |
| 0.264337 | 1.588579 |
| 0.265758 | 1.586505 |
| 0.267187 | 1.584478 |
| 0.268624 | 1.582496 |
| 0.270069 | 1.580559 |
| 0.271521 | 1.578665 |
| 0.272982 | 1.576813 |
| 0.27445 | 1.575002 |
| 0.275926 | 1.57323 |
| 0.27741 | 1.571497 |
| 0.278902 | 1.569801 |
| 0.280402 | 1.568141 |
| 0.28191 | 1.566516 |
| 0.283426 | 1.564926 |
| 0.28495 | 1.563368 |
| 0.286482 | 1.561843 |
| 0.288023 | 1.56035 |
| 0.289572 | 1.558887 |
| 0.291129 | 1.557454 |
| 0.292695 | 1.55605 |
| 0.294269 | 1.554673 |
| 0.295852 | 1.553325 |
| 0.297443 | 1.552002 |
| 0.299042 | 1.550706 |
| 0.300651 | 1.549435 |
| 0.302268 | 1.548188 |
| 0.303893 | 1.546965 |
| 0.305527 | 1.545766 |
| 0.307171 | 1.544589 |
| 0.308823 | 1.543434 |
| 0.310483 | 1.5423 |
| 0.312153 | 1.541187 |
| 0.313832 | 1.540095 |
| 0.31552 | 1.539022 |
| 0.317217 | 1.537969 |
| 0.318923 | 1.536935 |
| 0.320638 | 1.535919 |
| 0.322362 | 1.53492 |
| 0.324096 | 1.53394 |
| 0.325839 | 1.532976 |
| 0.327591 | 1.532028 |
| 0.329353 | 1.531097 |
| 0.331124 | 1.530182 |
| 0.332905 | 1.529282 |
| 0.334695 | 1.528397 |
| 0.336495 | 1.527526 |
| 0.338305 | 1.52667 |
| 0.340124 | 1.525828 |
| 0.341954 | 1.525 |
| 0.343793 | 1.524184 |
| 0.345641 | 1.523382 |
| 0.3475 | 1.522592 |
| 0.349369 | 1.521815 |
| 0.351248 | 1.52105 |
| 0.353137 | 1.520297 |
| 0.355036 | 1.519555 |
| 0.356946 | 1.518825 |
| 0.358865 | 1.518105 |
| 0.360795 | 1.517397 |
| 0.362736 | 1.516699 |
| 0.364686 | 1.516011 |
| 0.366648 | 1.515334 |
| 0.368619 | 1.514666 |
| 0.370602 | 1.514008 |
| 0.372595 | 1.51336 |
| 0.374599 | 1.512721 |
| 0.376613 | 1.512091 |
| 0.378639 | 1.511469 |
| 0.380675 | 1.510857 |
| 0.382722 | 1.510253 |
| 0.384781 | 1.509658 |
| 0.38685 | 1.50907 |
| 0.38893 | 1.508491 |
| 0.391022 | 1.50792 |
| 0.393125 | 1.507356 |
| 0.395239 | 1.5068 |
| 0.397365 | 1.506251 |
| 0.399502 | 1.50571 |
| 0.40165 | 1.505175 |
| 0.40381 | 1.504648 |
| 0.405982 | 1.504128 |
| 0.408166 | 1.503614 |
| 0.410361 | 1.503107 |
| 0.412568 | 1.502607 |
| 0.414786 | 1.502113 |
| 0.417017 | 1.501625 |
| 0.41926 | 1.501143 |
| 0.421515 | 1.500668 |
| 0.423781 | 1.500198 |
| 0.42606 | 1.499734 |
| 0.428352 | 1.499276 |
| 0.430656 | 1.498824 |
| 0.432972 | 1.498377 |
| 0.4353 | 1.497936 |
| 0.437641 | 1.4975 |
| 0.439995 | 1.497069 |
| 0.442361 | 1.496644 |
| 0.44474 | 1.496223 |
| 0.447132 | 1.495808 |
| 0.449537 | 1.495397 |
| 0.451954 | 1.494992 |
| 0.454385 | 1.494591 |
| 0.456828 | 1.494195 |
| 0.459285 | 1.493804 |
| 0.461755 | 1.493417 |
| 0.464239 | 1.493034 |
| 0.466735 | 1.492657 |
| 0.469245 | 1.492283 |
| 0.471769 | 1.491914 |
| 0.474306 | 1.491549 |
| 0.476857 | 1.491188 |
| 0.479421 | 1.490831 |
| 0.482 | 1.490479 |
| 0.484592 | 1.49013 |
| 0.487198 | 1.489785 |
| 0.489818 | 1.489445 |
| 0.492452 | 1.489108 |
| 0.495101 | 1.488774 |
| 0.497763 | 1.488445 |
| 0.50044 | 1.488119 |
| 0.503132 | 1.487797 |
| 0.505838 | 1.487478 |
| 0.508558 | 1.487163 |
| 0.511293 | 1.486852 |
| 0.514043 | 1.486543 |
| 0.516807 | 1.486239 |
| 0.519587 | 1.485937 |
| 0.522381 | 1.485639 |
| 0.52519 | 1.485344 |
| 0.528015 | 1.485052 |
| 0.530854 | 1.484764 |
| 0.533709 | 1.484478 |
| 0.53658 | 1.484196 |
| 0.539465 | 1.483917 |
| 0.542367 | 1.483641 |
| 0.545283 | 1.483367 |
| 0.548216 | 1.483097 |
| 0.551164 | 1.48283 |
| 0.554128 | 1.482565 |
| 0.557109 | 1.482303 |
| 0.560105 | 1.482044 |
| 0.563117 | 1.481788 |
| 0.566145 | 1.481535 |
| 0.56919 | 1.481284 |
| 0.572251 | 1.481036 |
| 0.575329 | 1.480791 |
| 0.578423 | 1.480548 |
| 0.581534 | 1.480307 |
| 0.584661 | 1.48007 |
| 0.587805 | 1.479834 |
| 0.590967 | 1.479602 |
| 0.594145 | 1.479371 |
| 0.59734 | 1.479144 |
| 0.600553 | 1.478918 |
| 0.603782 | 1.478695 |
| 0.607029 | 1.478474 |
| 0.610294 | 1.478256 |
| 0.613576 | 1.47804 |
| 0.616876 | 1.477826 |
| 0.620194 | 1.477614 |
| 0.623529 | 1.477405 |
| 0.626882 | 1.477197 |
| 0.630254 | 1.476992 |
| 0.633643 | 1.476789 |
| 0.637051 | 1.476589 |
| 0.640477 | 1.47639 |
| 0.643921 | 1.476193 |
| 0.647384 | 1.475999 |
| 0.650866 | 1.475806 |
| 0.654366 | 1.475615 |
| 0.657885 | 1.475427 |
| 0.661424 | 1.47524 |
| 0.664981 | 1.475055 |
| 0.668557 | 1.474873 |
| 0.672152 | 1.474692 |
| 0.675767 | 1.474513 |
| 0.679402 | 1.474336 |
| 0.683055 | 1.47416 |
| 0.686729 | 1.473987 |
| 0.690422 | 1.473815 |
| 0.694135 | 1.473645 |
| 0.697868 | 1.473477 |
| 0.701621 | 1.47331 |
| 0.705395 | 1.473146 |
| 0.709188 | 1.472983 |
| 0.713002 | 1.472821 |
| 0.716837 | 1.472662 |
| 0.720692 | 1.472504 |
| 0.724568 | 1.472347 |
| 0.728464 | 1.472193 |
| 0.732382 | 1.472039 |
| 0.736321 | 1.471888 |
| 0.740281 | 1.471738 |
| 0.744262 | 1.471589 |
| 0.748265 | 1.471442 |
| 0.752289 | 1.471297 |
| 0.756335 | 1.471153 |
| 0.760402 | 1.471011 |
| 0.764492 | 1.47087 |
| 0.768603 | 1.47073 |
| 0.772736 | 1.470592 |
| 0.776892 | 1.470455 |
| 0.78107 | 1.47032 |
| 0.785271 | 1.470186 |
| 0.789494 | 1.470054 |
| 0.79374 | 1.469923 |
| 0.798009 | 1.469793 |
| 0.8023 | 1.469665 |
| 0.806615 | 1.469538 |
| 0.810953 | 1.469412 |
| 0.815314 | 1.469287 |
| 0.819699 | 1.469164 |
| 0.824108 | 1.469042 |
| 0.82854 | 1.468922 |
| 0.832995 | 1.468802 |
| 0.837475 | 1.468684 |
| 0.841979 | 1.468567 |
| 0.846507 | 1.468451 |
| 0.85106 | 1.468337 |
| 0.855637 | 1.468224 |
| 0.860238 | 1.468111 |
| 0.864865 | 1.468 |
| 0.869516 | 1.46789 |
| 0.874192 | 1.467782 |
| 0.878894 | 1.467674 |
| 0.88362 | 1.467568 |
| 0.888372 | 1.467462 |
| 0.89315 | 1.467358 |
| 0.897953 | 1.467255 |
| 0.902783 | 1.467152 |
| 0.907638 | 1.467051 |
| 0.912519 | 1.466951 |
| 0.917427 | 1.466852 |
| 0.92236 | 1.466754 |
| 0.927321 | 1.466657 |
| 0.932308 | 1.466561 |
| 0.937322 | 1.466466 |
| 0.942363 | 1.466372 |
| 0.947431 | 1.466279 |
| 0.952526 | 1.466187 |
| 0.957649 | 1.466096 |
| 0.962799 | 1.466006 |
| 0.967977 | 1.465917 |
| 0.973183 | 1.465828 |
| 0.978416 | 1.465741 |
| 0.983678 | 1.465654 |
| 0.988969 | 1.465569 |
| 0.994287 | 1.465484 |
| 0.999634 | 1.4654 |
| 1.00501 | 1.465317 |
| 1.01042 | 1.465235 |
| 1.01585 | 1.465154 |
| 1.02131 | 1.465073 |
| 1.02681 | 1.464994 |
| 1.03233 | 1.464915 |
| 1.03788 | 1.464837 |
| 1.04346 | 1.46476 |
| 1.04907 | 1.464684 |
| 1.05471 | 1.464608 |
| 1.06039 | 1.464533 |
| 1.06609 | 1.464459 |
| 1.07182 | 1.464386 |
| 1.07759 | 1.464314 |
| 1.08338 | 1.464242 |
| 1.08921 | 1.464171 |
| 1.09507 | 1.464101 |
| 1.10096 | 1.464031 |
| 1.10688 | 1.463963 |
| 1.11283 | 1.463895 |
| 1.11881 | 1.463827 |
| 1.12483 | 1.463761 |
| 1.13088 | 1.463695 |
| 1.13696 | 1.46363 |
| 1.14308 | 1.463565 |
| 1.14922 | 1.463501 |
| 1.1554 | 1.463438 |
| 1.16162 | 1.463375 |
| 1.16787 | 1.463313 |
| 1.17415 | 1.463252 |
| 1.18046 | 1.463192 |
| 1.18681 | 1.463132 |
| 1.19319 | 1.463072 |
| 1.19961 | 1.463013 |
| 1.20606 | 1.462955 |
| 1.21255 | 1.462898 |
| 1.21907 | 1.462841 |
| 1.22562 | 1.462784 |
| 1.23222 | 1.462729 |
| 1.23884 | 1.462674 |
| 1.2455 | 1.462619 |
| 1.2522 | 1.462565 |
| 1.25894 | 1.462511 |
| 1.26571 | 1.462459 |
| 1.27251 | 1.462406 |
| 1.27936 | 1.462354 |
| 1.28624 | 1.462303 |
| 1.29316 | 1.462252 |
| 1.30011 | 1.462202 |
| 1.3071 | 1.462153 |
| 1.31413 | 1.462104 |
| 1.3212 | 1.462055 |
| 1.32831 | 1.462007 |
| 1.33545 | 1.461959 |
| 1.34263 | 1.461912 |
| 1.34985 | 1.461865 |
| 1.35711 | 1.461819 |
| 1.36441 | 1.461774 |
| 1.37175 | 1.461728 |
| 1.37912 | 1.461684 |
| 1.38654 | 1.46164 |
| 1.394 | 1.461596 |
| 1.4015 | 1.461552 |
| 1.40903 | 1.46151 |
| 1.41661 | 1.461467 |
| 1.42423 | 1.461425 |
| 1.43189 | 1.461384 |
| 1.43959 | 1.461343 |
| 1.44733 | 1.461302 |
| 1.45511 | 1.461262 |
| 1.46294 | 1.461222 |
| 1.47081 | 1.461183 |
| 1.47872 | 1.461144 |
| 1.48667 | 1.461105 |
| 1.49467 | 1.461067 |
| 1.5027 | 1.461029 |
| 1.51079 | 1.460992 |
| 1.51891 | 1.460955 |
| 1.52708 | 1.460918 |
| 1.53529 | 1.460882 |
| 1.54355 | 1.460846 |
| 1.55185 | 1.460811 |
| 1.5602 | 1.460776 |
| 1.56859 | 1.460741 |
| 1.57702 | 1.460707 |
| 1.5855 | 1.460673 |
| 1.59403 | 1.460639 |
| 1.6026 | 1.460606 |
| 1.61122 | 1.460573 |
| 1.61989 | 1.46054 |
| 1.6286 | 1.460508 |
| 1.63736 | 1.460476 |
| 1.64616 | 1.460445 |
| 1.65502 | 1.460414 |
| 1.66392 | 1.460383 |
| 1.67286 | 1.460352 |
| 1.68186 | 1.460322 |
| 1.69091 | 1.460292 |
| 1.7 | 1.460262 |
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
- —
Room temperature.