Optical constants
Refractive index of C2H6OS (Dimethyl sulfoxide, DMSO)
Kozma et al. 2005: n 0.237–0.641 µm
- Data
- formula 2
- Range
- 0.2369–0.6407 µm
- Temperature
- 293 K
- Licence
- CC0-1.0
Plot
Click the plot to set the calculator wavelength.
At one wavelength
- Refractive index n
- 1.47718
- Extinction coefficient k
- 0
- Permittivity ε1
- 2.18207
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- —
- Chromatic dispersion dn/dλ
- -0.0569193 µm⁻¹
- Group index ng
- 1.51063
- Group velocity dispersion
- 111.37 fs²/mm
- Dispersion parameter D
- -607.58 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): Kozma et al. 2005: n 0.237–0.641 µm
c2h6os = ls.fetch_refractiveindex("organic", "dimethyl_sulfoxide", "Kozma", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(c2h6os.range_nm) # (236.87, 640.7) 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_c1b5d12e320d/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/kozma-2005).
# ... 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=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"]).
import json, urllib.request
import lightsmith as ls
url = "https://materials.lightsmith.dev/v1/datasets/ds_c1b5d12e320d/lightsmith?model=drude_lorentz"
c2h6os_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 (C in µm²) (formula 2), λ in µmValid from 0.23687 to 0.6407 µm.
Coefficients as stored
| Ci | Value |
|---|---|
| C1 | 0.0 |
| C2 | 0.04419 |
| C3 | 0.04639067309 |
| C4 | 1.09101 |
| C5 | 0.01221543949 |
Comments and conditions
Conditions
- temperature
- 293 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 |
|---|---|
| 0.23687 | 1.627824 |
| 0.237461 | 1.625412 |
| 0.238054 | 1.623091 |
| 0.238649 | 1.620857 |
| 0.239245 | 1.618702 |
| 0.239842 | 1.616623 |
| 0.240441 | 1.614613 |
| 0.241041 | 1.61267 |
| 0.241643 | 1.610788 |
| 0.242247 | 1.608965 |
| 0.242851 | 1.607197 |
| 0.243458 | 1.60548 |
| 0.244066 | 1.603812 |
| 0.244675 | 1.602191 |
| 0.245286 | 1.600614 |
| 0.245899 | 1.599078 |
| 0.246513 | 1.597582 |
| 0.247128 | 1.596123 |
| 0.247745 | 1.594701 |
| 0.248364 | 1.593312 |
| 0.248984 | 1.591956 |
| 0.249606 | 1.590631 |
| 0.250229 | 1.589336 |
| 0.250854 | 1.58807 |
| 0.25148 | 1.58683 |
| 0.252108 | 1.585617 |
| 0.252738 | 1.584428 |
| 0.253369 | 1.583264 |
| 0.254001 | 1.582123 |
| 0.254636 | 1.581004 |
| 0.255271 | 1.579906 |
| 0.255909 | 1.578829 |
| 0.256548 | 1.577772 |
| 0.257188 | 1.576733 |
| 0.257831 | 1.575714 |
| 0.258474 | 1.574711 |
| 0.25912 | 1.573727 |
| 0.259767 | 1.572758 |
| 0.260415 | 1.571806 |
| 0.261066 | 1.570869 |
| 0.261718 | 1.569948 |
| 0.262371 | 1.569041 |
| 0.263026 | 1.568148 |
| 0.263683 | 1.567269 |
| 0.264341 | 1.566403 |
| 0.265001 | 1.56555 |
| 0.265663 | 1.564709 |
| 0.266326 | 1.563881 |
| 0.266991 | 1.563064 |
| 0.267658 | 1.562259 |
| 0.268326 | 1.561466 |
| 0.268996 | 1.560683 |
| 0.269668 | 1.559911 |
| 0.270342 | 1.559149 |
| 0.271017 | 1.558397 |
| 0.271693 | 1.557655 |
| 0.272372 | 1.556923 |
| 0.273052 | 1.5562 |
| 0.273734 | 1.555486 |
| 0.274417 | 1.554781 |
| 0.275102 | 1.554084 |
| 0.275789 | 1.553397 |
| 0.276478 | 1.552717 |
| 0.277168 | 1.552046 |
| 0.27786 | 1.551382 |
| 0.278554 | 1.550727 |
| 0.27925 | 1.550078 |
| 0.279947 | 1.549438 |
| 0.280646 | 1.548804 |
| 0.281347 | 1.548178 |
| 0.282049 | 1.547559 |
| 0.282753 | 1.546947 |
| 0.28346 | 1.546341 |
| 0.284167 | 1.545742 |
| 0.284877 | 1.545149 |
| 0.285588 | 1.544563 |
| 0.286301 | 1.543983 |
| 0.287016 | 1.543409 |
| 0.287733 | 1.542841 |
| 0.288451 | 1.542278 |
| 0.289172 | 1.541722 |
| 0.289894 | 1.541171 |
| 0.290617 | 1.540626 |
| 0.291343 | 1.540086 |
| 0.292071 | 1.539552 |
| 0.2928 | 1.539022 |
| 0.293531 | 1.538498 |
| 0.294264 | 1.53798 |
| 0.294999 | 1.537466 |
| 0.295735 | 1.536957 |
| 0.296474 | 1.536453 |
| 0.297214 | 1.535953 |
| 0.297956 | 1.535459 |
| 0.2987 | 1.534968 |
| 0.299446 | 1.534483 |
| 0.300194 | 1.534002 |
| 0.300943 | 1.533525 |
| 0.301695 | 1.533053 |
| 0.302448 | 1.532585 |
| 0.303203 | 1.532121 |
| 0.30396 | 1.531662 |
| 0.304719 | 1.531206 |
| 0.30548 | 1.530754 |
| 0.306243 | 1.530307 |
| 0.307008 | 1.529863 |
| 0.307774 | 1.529423 |
| 0.308543 | 1.528987 |
| 0.309313 | 1.528555 |
| 0.310086 | 1.528126 |
| 0.31086 | 1.527702 |
| 0.311636 | 1.52728 |
| 0.312414 | 1.526862 |
| 0.313194 | 1.526448 |
| 0.313976 | 1.526037 |
| 0.31476 | 1.52563 |
| 0.315546 | 1.525226 |
| 0.316334 | 1.524825 |
| 0.317124 | 1.524428 |
| 0.317916 | 1.524034 |
| 0.31871 | 1.523643 |
| 0.319506 | 1.523255 |
| 0.320303 | 1.52287 |
| 0.321103 | 1.522489 |
| 0.321905 | 1.52211 |
| 0.322709 | 1.521734 |
| 0.323514 | 1.521362 |
| 0.324322 | 1.520992 |
| 0.325132 | 1.520625 |
| 0.325944 | 1.520262 |
| 0.326758 | 1.5199 |
| 0.327574 | 1.519542 |
| 0.328392 | 1.519187 |
| 0.329212 | 1.518834 |
| 0.330034 | 1.518484 |
| 0.330858 | 1.518137 |
| 0.331684 | 1.517792 |
| 0.332512 | 1.51745 |
| 0.333342 | 1.51711 |
| 0.334175 | 1.516773 |
| 0.335009 | 1.516439 |
| 0.335846 | 1.516107 |
| 0.336684 | 1.515777 |
| 0.337525 | 1.51545 |
| 0.338368 | 1.515126 |
| 0.339213 | 1.514804 |
| 0.34006 | 1.514484 |
| 0.340909 | 1.514166 |
| 0.34176 | 1.513851 |
| 0.342613 | 1.513538 |
| 0.343469 | 1.513228 |
| 0.344327 | 1.512919 |
| 0.345186 | 1.512613 |
| 0.346048 | 1.512309 |
| 0.346912 | 1.512008 |
| 0.347779 | 1.511708 |
| 0.348647 | 1.511411 |
| 0.349517 | 1.511115 |
| 0.35039 | 1.510822 |
| 0.351265 | 1.510531 |
| 0.352142 | 1.510242 |
| 0.353021 | 1.509955 |
| 0.353903 | 1.50967 |
| 0.354787 | 1.509387 |
| 0.355673 | 1.509106 |
| 0.356561 | 1.508827 |
| 0.357451 | 1.508549 |
| 0.358344 | 1.508274 |
| 0.359238 | 1.508001 |
| 0.360135 | 1.507729 |
| 0.361035 | 1.50746 |
| 0.361936 | 1.507192 |
| 0.36284 | 1.506926 |
| 0.363746 | 1.506662 |
| 0.364654 | 1.5064 |
| 0.365565 | 1.506139 |
| 0.366477 | 1.505881 |
| 0.367392 | 1.505624 |
| 0.36831 | 1.505368 |
| 0.36923 | 1.505115 |
| 0.370151 | 1.504863 |
| 0.371076 | 1.504613 |
| 0.372002 | 1.504364 |
| 0.372931 | 1.504118 |
| 0.373862 | 1.503872 |
| 0.374796 | 1.503629 |
| 0.375732 | 1.503387 |
| 0.37667 | 1.503147 |
| 0.37761 | 1.502908 |
| 0.378553 | 1.502671 |
| 0.379499 | 1.502435 |
| 0.380446 | 1.502201 |
| 0.381396 | 1.501969 |
| 0.382348 | 1.501738 |
| 0.383303 | 1.501508 |
| 0.38426 | 1.50128 |
| 0.38522 | 1.501054 |
| 0.386182 | 1.500829 |
| 0.387146 | 1.500605 |
| 0.388113 | 1.500383 |
| 0.389082 | 1.500162 |
| 0.390053 | 1.499943 |
| 0.391027 | 1.499725 |
| 0.392004 | 1.499509 |
| 0.392982 | 1.499294 |
| 0.393964 | 1.49908 |
| 0.394947 | 1.498868 |
| 0.395934 | 1.498657 |
| 0.396922 | 1.498447 |
| 0.397913 | 1.498239 |
| 0.398907 | 1.498032 |
| 0.399903 | 1.497826 |
| 0.400902 | 1.497622 |
| 0.401903 | 1.497419 |
| 0.402906 | 1.497217 |
| 0.403912 | 1.497017 |
| 0.404921 | 1.496817 |
| 0.405932 | 1.496619 |
| 0.406945 | 1.496423 |
| 0.407961 | 1.496227 |
| 0.40898 | 1.496033 |
| 0.410001 | 1.49584 |
| 0.411025 | 1.495648 |
| 0.412051 | 1.495457 |
| 0.41308 | 1.495268 |
| 0.414112 | 1.495079 |
| 0.415146 | 1.494892 |
| 0.416182 | 1.494706 |
| 0.417222 | 1.494521 |
| 0.418263 | 1.494338 |
| 0.419308 | 1.494155 |
| 0.420355 | 1.493973 |
| 0.421404 | 1.493793 |
| 0.422457 | 1.493614 |
| 0.423512 | 1.493436 |
| 0.424569 | 1.493259 |
| 0.425629 | 1.493083 |
| 0.426692 | 1.492908 |
| 0.427757 | 1.492734 |
| 0.428825 | 1.492561 |
| 0.429896 | 1.492389 |
| 0.43097 | 1.492219 |
| 0.432046 | 1.492049 |
| 0.433125 | 1.49188 |
| 0.434206 | 1.491713 |
| 0.43529 | 1.491546 |
| 0.436377 | 1.491381 |
| 0.437467 | 1.491216 |
| 0.438559 | 1.491053 |
| 0.439654 | 1.49089 |
| 0.440752 | 1.490728 |
| 0.441853 | 1.490568 |
| 0.442956 | 1.490408 |
| 0.444062 | 1.490249 |
| 0.445171 | 1.490091 |
| 0.446282 | 1.489934 |
| 0.447397 | 1.489779 |
| 0.448514 | 1.489624 |
| 0.449634 | 1.489469 |
| 0.450756 | 1.489316 |
| 0.451882 | 1.489164 |
| 0.45301 | 1.489013 |
| 0.454141 | 1.488862 |
| 0.455275 | 1.488713 |
| 0.456412 | 1.488564 |
| 0.457552 | 1.488416 |
| 0.458694 | 1.488269 |
| 0.45984 | 1.488123 |
| 0.460988 | 1.487978 |
| 0.462139 | 1.487834 |
| 0.463293 | 1.48769 |
| 0.46445 | 1.487547 |
| 0.46561 | 1.487406 |
| 0.466772 | 1.487265 |
| 0.467938 | 1.487124 |
| 0.469106 | 1.486985 |
| 0.470277 | 1.486847 |
| 0.471452 | 1.486709 |
| 0.472629 | 1.486572 |
| 0.473809 | 1.486436 |
| 0.474992 | 1.4863 |
| 0.476178 | 1.486166 |
| 0.477367 | 1.486032 |
| 0.478559 | 1.485899 |
| 0.479754 | 1.485767 |
| 0.480952 | 1.485635 |
| 0.482153 | 1.485505 |
| 0.483357 | 1.485375 |
| 0.484564 | 1.485246 |
| 0.485774 | 1.485117 |
| 0.486987 | 1.484989 |
| 0.488203 | 1.484862 |
| 0.489422 | 1.484736 |
| 0.490644 | 1.484611 |
| 0.491869 | 1.484486 |
| 0.493097 | 1.484362 |
| 0.494328 | 1.484238 |
| 0.495563 | 1.484116 |
| 0.4968 | 1.483994 |
| 0.498041 | 1.483873 |
| 0.499284 | 1.483752 |
| 0.500531 | 1.483632 |
| 0.501781 | 1.483513 |
| 0.503034 | 1.483394 |
| 0.50429 | 1.483277 |
| 0.505549 | 1.483159 |
| 0.506811 | 1.483043 |
| 0.508077 | 1.482927 |
| 0.509345 | 1.482812 |
| 0.510617 | 1.482697 |
| 0.511892 | 1.482584 |
| 0.51317 | 1.48247 |
| 0.514452 | 1.482358 |
| 0.515736 | 1.482246 |
| 0.517024 | 1.482134 |
| 0.518315 | 1.482024 |
| 0.519609 | 1.481914 |
| 0.520907 | 1.481804 |
| 0.522207 | 1.481695 |
| 0.523511 | 1.481587 |
| 0.524819 | 1.48148 |
| 0.526129 | 1.481373 |
| 0.527443 | 1.481266 |
| 0.52876 | 1.48116 |
| 0.53008 | 1.481055 |
| 0.531404 | 1.480951 |
| 0.532731 | 1.480847 |
| 0.534061 | 1.480743 |
| 0.535394 | 1.48064 |
| 0.536731 | 1.480538 |
| 0.538071 | 1.480436 |
| 0.539415 | 1.480335 |
| 0.540762 | 1.480234 |
| 0.542112 | 1.480134 |
| 0.543466 | 1.480035 |
| 0.544823 | 1.479936 |
| 0.546183 | 1.479838 |
| 0.547547 | 1.47974 |
| 0.548914 | 1.479643 |
| 0.550285 | 1.479546 |
| 0.551659 | 1.47945 |
| 0.553036 | 1.479354 |
| 0.554417 | 1.479259 |
| 0.555802 | 1.479164 |
| 0.557189 | 1.47907 |
| 0.558581 | 1.478977 |
| 0.559975 | 1.478884 |
| 0.561374 | 1.478791 |
| 0.562775 | 1.478699 |
| 0.564181 | 1.478607 |
| 0.565589 | 1.478516 |
| 0.567002 | 1.478426 |
| 0.568417 | 1.478336 |
| 0.569837 | 1.478246 |
| 0.57126 | 1.478157 |
| 0.572686 | 1.478069 |
| 0.574116 | 1.477981 |
| 0.57555 | 1.477893 |
| 0.576987 | 1.477806 |
| 0.578427 | 1.47772 |
| 0.579872 | 1.477634 |
| 0.58132 | 1.477548 |
| 0.582771 | 1.477463 |
| 0.584226 | 1.477378 |
| 0.585685 | 1.477294 |
| 0.587148 | 1.47721 |
| 0.588614 | 1.477127 |
| 0.590083 | 1.477044 |
| 0.591557 | 1.476961 |
| 0.593034 | 1.476879 |
| 0.594515 | 1.476798 |
| 0.595999 | 1.476717 |
| 0.597487 | 1.476636 |
| 0.598979 | 1.476556 |
| 0.600475 | 1.476476 |
| 0.601974 | 1.476397 |
| 0.603477 | 1.476318 |
| 0.604984 | 1.47624 |
| 0.606495 | 1.476162 |
| 0.608009 | 1.476084 |
| 0.609528 | 1.476007 |
| 0.61105 | 1.47593 |
| 0.612575 | 1.475854 |
| 0.614105 | 1.475778 |
| 0.615638 | 1.475702 |
| 0.617176 | 1.475627 |
| 0.618717 | 1.475552 |
| 0.620261 | 1.475478 |
| 0.62181 | 1.475404 |
| 0.623363 | 1.475331 |
| 0.624919 | 1.475258 |
| 0.62648 | 1.475185 |
| 0.628044 | 1.475113 |
| 0.629612 | 1.475041 |
| 0.631184 | 1.474969 |
| 0.632761 | 1.474898 |
| 0.634341 | 1.474827 |
| 0.635924 | 1.474757 |
| 0.637512 | 1.474687 |
| 0.639104 | 1.474617 |
| 0.6407 | 1.474548 |
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