Optical constants
Refractive index of CS2 (Carbon disulfide)
Chemnitz et al. 2017: n 0.3–12 µm
- Data
- formula 1
- Range
- 0.3–12 µm
- Temperature
- 293 K
- Licence
- CC0-1.0
Plot
Click the plot to set the calculator wavelength.
At one wavelength
- Refractive index n
- 1.62839
- Extinction coefficient k
- 0
- Permittivity ε1
- 2.65164
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- 17.924
- Chromatic dispersion dn/dλ
- -0.176886 µm⁻¹
- Group index ng
- 1.73232
- Group velocity dispersion
- 359.626 fs²/mm
- Dispersion parameter D
- -1961.95 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
# CS2 (Carbon disulfide): Chemnitz et al. 2017: n 0.3–12 µm
cs2 = ls.fetch_refractiveindex("main", "CS2", "Chemnitz", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cs2.range_nm) # (300, 12000) nm
eps = cs2.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_bae9e9585bb0/lightsmith"
cs2 = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(cs2.source) # citation and provenance travel with the data
Any dataset here, as the library's Tabulated material (cs2/chemnitz-2017).
# ... load cs2 as above, then:
sim = ls.Simulation(
particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=cs2)],
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"]).
import json, urllib.request
import lightsmith as ls
url = "https://materials.lightsmith.dev/v1/datasets/ds_bae9e9585bb0/lightsmith?model=drude_lorentz"
cs2_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 (formula 1), λ in µmValid from 0.3 to 12.0 µm.
Coefficients as stored
| Ci | Value |
|---|---|
| C1 | 0.0 |
| C2 | 1.499426 |
| C3 | 0.178763 |
| C4 | 0.089531 |
| C5 | 6.591946 |
Comments and conditions
Conditions
- temperature
- 293 K
- formula gives non-finite n in part of its stated wavelength range
References
- doi:10.1038/s41467-017-00033-5 Hybrid soliton dynamics in liquid-core fibres, Nature Communications (2017)
Cite
Mario Chemnitz et al.. Hybrid soliton dynamics in liquid-core fibres. Nature Communications, 8, 42 (2017), doi:10.1038/s41467-017-00033-5; 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 |
|---|---|
| 0.3 | 1.823391 |
| 0.302786 | 1.817013 |
| 0.305599 | 1.810852 |
| 0.308437 | 1.8049 |
| 0.311302 | 1.799147 |
| 0.314193 | 1.793584 |
| 0.317112 | 1.788201 |
| 0.320057 | 1.782993 |
| 0.32303 | 1.77795 |
| 0.32603 | 1.773066 |
| 0.329059 | 1.768334 |
| 0.332115 | 1.763748 |
| 0.3352 | 1.759302 |
| 0.338313 | 1.754991 |
| 0.341455 | 1.750808 |
| 0.344627 | 1.74675 |
| 0.347828 | 1.742811 |
| 0.351058 | 1.738986 |
| 0.354319 | 1.735271 |
| 0.35761 | 1.731663 |
| 0.360932 | 1.728157 |
| 0.364284 | 1.724749 |
| 0.367668 | 1.721437 |
| 0.371083 | 1.718215 |
| 0.374529 | 1.715083 |
| 0.378008 | 1.712035 |
| 0.381519 | 1.70907 |
| 0.385063 | 1.706184 |
| 0.388639 | 1.703374 |
| 0.392249 | 1.700639 |
| 0.395892 | 1.697976 |
| 0.399569 | 1.695382 |
| 0.403281 | 1.692855 |
| 0.407026 | 1.690393 |
| 0.410807 | 1.687994 |
| 0.414622 | 1.685656 |
| 0.418474 | 1.683377 |
| 0.42236 | 1.681154 |
| 0.426283 | 1.678987 |
| 0.430243 | 1.676874 |
| 0.434239 | 1.674813 |
| 0.438272 | 1.672802 |
| 0.442343 | 1.67084 |
| 0.446452 | 1.668926 |
| 0.450598 | 1.667058 |
| 0.454784 | 1.665234 |
| 0.459008 | 1.663454 |
| 0.463271 | 1.661716 |
| 0.467574 | 1.660019 |
| 0.471917 | 1.658362 |
| 0.4763 | 1.656743 |
| 0.480724 | 1.655162 |
| 0.485189 | 1.653618 |
| 0.489696 | 1.652109 |
| 0.494244 | 1.650635 |
| 0.498835 | 1.649195 |
| 0.503468 | 1.647787 |
| 0.508144 | 1.646411 |
| 0.512864 | 1.645066 |
| 0.517628 | 1.643752 |
| 0.522435 | 1.642466 |
| 0.527288 | 1.64121 |
| 0.532185 | 1.639981 |
| 0.537128 | 1.638779 |
| 0.542117 | 1.637604 |
| 0.547153 | 1.636455 |
| 0.552235 | 1.63533 |
| 0.557364 | 1.63423 |
| 0.562541 | 1.633154 |
| 0.567766 | 1.632102 |
| 0.573039 | 1.631072 |
| 0.578362 | 1.630064 |
| 0.583734 | 1.629077 |
| 0.589156 | 1.628112 |
| 0.594628 | 1.627167 |
| 0.600151 | 1.626242 |
| 0.605725 | 1.625337 |
| 0.611351 | 1.62445 |
| 0.617029 | 1.623583 |
| 0.622761 | 1.622733 |
| 0.628545 | 1.621901 |
| 0.634383 | 1.621087 |
| 0.640275 | 1.620289 |
| 0.646222 | 1.619508 |
| 0.652224 | 1.618743 |
| 0.658282 | 1.617993 |
| 0.664397 | 1.617259 |
| 0.670568 | 1.61654 |
| 0.676796 | 1.615836 |
| 0.683082 | 1.615146 |
| 0.689427 | 1.61447 |
| 0.69583 | 1.613807 |
| 0.702293 | 1.613158 |
| 0.708816 | 1.612522 |
| 0.7154 | 1.611899 |
| 0.722045 | 1.611288 |
| 0.728751 | 1.610689 |
| 0.73552 | 1.610102 |
| 0.742352 | 1.609527 |
| 0.749247 | 1.608963 |
| 0.756206 | 1.60841 |
| 0.76323 | 1.607868 |
| 0.770319 | 1.607337 |
| 0.777474 | 1.606816 |
| 0.784695 | 1.606305 |
| 0.791983 | 1.605804 |
| 0.799339 | 1.605313 |
| 0.806764 | 1.604832 |
| 0.814257 | 1.604359 |
| 0.82182 | 1.603896 |
| 0.829453 | 1.603441 |
| 0.837157 | 1.602996 |
| 0.844933 | 1.602558 |
| 0.852781 | 1.602129 |
| 0.860702 | 1.601708 |
| 0.868696 | 1.601295 |
| 0.876765 | 1.60089 |
| 0.884908 | 1.600493 |
| 0.893127 | 1.600103 |
| 0.901423 | 1.59972 |
| 0.909796 | 1.599344 |
| 0.918246 | 1.598975 |
| 0.926775 | 1.598613 |
| 0.935383 | 1.598258 |
| 0.944071 | 1.597909 |
| 0.952839 | 1.597566 |
| 0.96169 | 1.59723 |
| 0.970622 | 1.5969 |
| 0.979637 | 1.596575 |
| 0.988736 | 1.596257 |
| 0.99792 | 1.595944 |
| 1.00719 | 1.595637 |
| 1.01654 | 1.595335 |
| 1.02599 | 1.595039 |
| 1.03552 | 1.594747 |
| 1.04513 | 1.594461 |
| 1.05484 | 1.59418 |
| 1.06464 | 1.593904 |
| 1.07453 | 1.593632 |
| 1.08451 | 1.593365 |
| 1.09458 | 1.593103 |
| 1.10475 | 1.592845 |
| 1.11501 | 1.592591 |
| 1.12536 | 1.592342 |
| 1.13582 | 1.592097 |
| 1.14637 | 1.591856 |
| 1.15701 | 1.591618 |
| 1.16776 | 1.591385 |
| 1.17861 | 1.591155 |
| 1.18955 | 1.590929 |
| 1.2006 | 1.590707 |
| 1.21175 | 1.590488 |
| 1.22301 | 1.590273 |
| 1.23437 | 1.590061 |
| 1.24583 | 1.589852 |
| 1.25741 | 1.589647 |
| 1.26908 | 1.589444 |
| 1.28087 | 1.589245 |
| 1.29277 | 1.589048 |
| 1.30478 | 1.588855 |
| 1.3169 | 1.588664 |
| 1.32913 | 1.588476 |
| 1.34147 | 1.58829 |
| 1.35393 | 1.588107 |
| 1.36651 | 1.587927 |
| 1.3792 | 1.587749 |
| 1.39201 | 1.587574 |
| 1.40494 | 1.587401 |
| 1.41799 | 1.58723 |
| 1.43116 | 1.587061 |
| 1.44445 | 1.586894 |
| 1.45787 | 1.58673 |
| 1.47141 | 1.586567 |
| 1.48508 | 1.586406 |
| 1.49887 | 1.586247 |
| 1.51279 | 1.58609 |
| 1.52684 | 1.585935 |
| 1.54102 | 1.585781 |
| 1.55534 | 1.585629 |
| 1.56978 | 1.585479 |
| 1.58436 | 1.58533 |
| 1.59908 | 1.585183 |
| 1.61393 | 1.585037 |
| 1.62892 | 1.584892 |
| 1.64405 | 1.584748 |
| 1.65932 | 1.584606 |
| 1.67474 | 1.584465 |
| 1.69029 | 1.584325 |
| 1.70599 | 1.584186 |
| 1.72184 | 1.584048 |
| 1.73783 | 1.583911 |
| 1.75397 | 1.583775 |
| 1.77026 | 1.58364 |
| 1.7867 | 1.583505 |
| 1.8033 | 1.583371 |
| 1.82005 | 1.583238 |
| 1.83695 | 1.583106 |
| 1.85402 | 1.582974 |
| 1.87124 | 1.582842 |
| 1.88862 | 1.582711 |
| 1.90616 | 1.582581 |
| 1.92386 | 1.58245 |
| 1.94173 | 1.58232 |
| 1.95977 | 1.58219 |
| 1.97797 | 1.582061 |
| 1.99634 | 1.581931 |
| 2.01488 | 1.581801 |
| 2.0336 | 1.581672 |
| 2.05249 | 1.581542 |
| 2.07155 | 1.581412 |
| 2.09079 | 1.581282 |
| 2.11021 | 1.581152 |
| 2.12981 | 1.581021 |
| 2.14959 | 1.58089 |
| 2.16956 | 1.580759 |
| 2.18971 | 1.580627 |
| 2.21005 | 1.580494 |
| 2.23058 | 1.580361 |
| 2.25129 | 1.580227 |
| 2.2722 | 1.580093 |
| 2.29331 | 1.579957 |
| 2.31461 | 1.579821 |
| 2.33611 | 1.579683 |
| 2.35781 | 1.579544 |
| 2.37971 | 1.579405 |
| 2.40181 | 1.579264 |
| 2.42412 | 1.579121 |
| 2.44663 | 1.578977 |
| 2.46936 | 1.578832 |
| 2.49229 | 1.578685 |
| 2.51544 | 1.578537 |
| 2.53881 | 1.578386 |
| 2.56239 | 1.578234 |
| 2.58619 | 1.57808 |
| 2.61021 | 1.577924 |
| 2.63445 | 1.577766 |
| 2.65892 | 1.577605 |
| 2.68362 | 1.577442 |
| 2.70854 | 1.577276 |
| 2.7337 | 1.577108 |
| 2.75909 | 1.576937 |
| 2.78472 | 1.576763 |
| 2.81059 | 1.576586 |
| 2.83669 | 1.576406 |
| 2.86304 | 1.576223 |
| 2.88963 | 1.576036 |
| 2.91647 | 1.575846 |
| 2.94356 | 1.575652 |
| 2.9709 | 1.575454 |
| 2.99849 | 1.575251 |
| 3.02634 | 1.575045 |
| 3.05445 | 1.574834 |
| 3.08282 | 1.574618 |
| 3.11146 | 1.574397 |
| 3.14036 | 1.574172 |
| 3.16952 | 1.57394 |
| 3.19896 | 1.573704 |
| 3.22868 | 1.573461 |
| 3.25867 | 1.573212 |
| 3.28893 | 1.572957 |
| 3.31948 | 1.572695 |
| 3.35031 | 1.572427 |
| 3.38143 | 1.572151 |
| 3.41284 | 1.571867 |
| 3.44454 | 1.571575 |
| 3.47653 | 1.571275 |
| 3.50882 | 1.570965 |
| 3.54141 | 1.570647 |
| 3.57431 | 1.570319 |
| 3.6075 | 1.569981 |
| 3.64101 | 1.569632 |
| 3.67483 | 1.569271 |
| 3.70896 | 1.568899 |
| 3.74341 | 1.568515 |
| 3.77818 | 1.568117 |
| 3.81327 | 1.567706 |
| 3.84869 | 1.56728 |
| 3.88444 | 1.566838 |
| 3.92052 | 1.566381 |
| 3.95693 | 1.565906 |
| 3.99369 | 1.565413 |
| 4.03078 | 1.564901 |
| 4.06822 | 1.564369 |
| 4.106 | 1.563815 |
| 4.14414 | 1.563238 |
| 4.18263 | 1.562637 |
| 4.22148 | 1.56201 |
| 4.26069 | 1.561355 |
| 4.30027 | 1.560671 |
| 4.34021 | 1.559956 |
| 4.38052 | 1.559206 |
| 4.42121 | 1.558421 |
| 4.46227 | 1.557598 |
| 4.50372 | 1.556732 |
| 4.54555 | 1.555822 |
| 4.58777 | 1.554864 |
| 4.63038 | 1.553854 |
| 4.67339 | 1.552788 |
| 4.7168 | 1.55166 |
| 4.76061 | 1.550466 |
| 4.80483 | 1.5492 |
| 4.84945 | 1.547855 |
| 4.8945 | 1.546423 |
| 4.93996 | 1.544897 |
| 4.98584 | 1.543265 |
| 5.03215 | 1.541518 |
| 5.07889 | 1.539643 |
| 5.12606 | 1.537626 |
| 5.17367 | 1.535449 |
| 5.22173 | 1.533094 |
| 5.27023 | 1.530537 |
| 5.31918 | 1.527752 |
| 5.36859 | 1.524708 |
| 5.41845 | 1.521367 |
| 5.46878 | 1.517683 |
| 5.51957 | 1.513602 |
| 5.57084 | 1.509056 |
| 5.62258 | 1.50396 |
| 5.67481 | 1.498212 |
| 5.72751 | 1.491675 |
| 5.78071 | 1.484178 |
| 5.83441 | 1.475493 |
| 5.8886 | 1.465314 |
| 5.94329 | 1.453219 |
| 5.99849 | 1.438613 |
| 6.05421 | 1.420622 |
| 6.11044 | 1.397912 |
| 6.1672 | 1.368338 |
| 6.22448 | 1.328206 |
| 6.28229 | 1.270543 |
| 6.34064 | 1.180291 |
| 6.39954 | 1.016737 |
| 6.45898 | 0.5901392 |
| 6.51897 | |
| 6.57952 | |
| 6.64063 | 2.937557 |
| 6.70231 | 2.28947 |
| 6.76456 | 2.0682 |
| 6.82739 | 1.954823 |
| 6.89081 | 1.885597 |
| 6.95481 | 1.838858 |
| 7.01941 | 1.805156 |
| 7.0846 | 1.779695 |
| 7.15041 | 1.75978 |
| 7.21682 | 1.743774 |
| 7.28385 | 1.730631 |
| 7.35151 | 1.719647 |
| 7.41979 | 1.710329 |
| 7.4887 | 1.702328 |
| 7.55826 | 1.695382 |
| 7.62846 | 1.689297 |
| 7.69932 | 1.683923 |
| 7.77083 | 1.679143 |
| 7.84301 | 1.674863 |
| 7.91585 | 1.671011 |
| 7.98938 | 1.667524 |
| 8.06358 | 1.664355 |
| 8.13848 | 1.661462 |
| 8.21407 | 1.658811 |
| 8.29037 | 1.656373 |
| 8.36737 | 1.654124 |
| 8.44509 | 1.652042 |
| 8.52353 | 1.650111 |
| 8.60269 | 1.648315 |
| 8.6826 | 1.64664 |
| 8.76324 | 1.645074 |
| 8.84464 | 1.643608 |
| 8.92679 | 1.642233 |
| 9.0097 | 1.64094 |
| 9.09339 | 1.639723 |
| 9.17785 | 1.638575 |
| 9.26309 | 1.637491 |
| 9.34913 | 1.636466 |
| 9.43597 | 1.635495 |
| 9.52361 | 1.634574 |
| 9.61207 | 1.633699 |
| 9.70134 | 1.632868 |
| 9.79145 | 1.632077 |
| 9.8824 | 1.631324 |
| 9.97419 | 1.630605 |
| 10.0668 | 1.629919 |
| 10.1603 | 1.629264 |
| 10.2547 | 1.628638 |
| 10.3499 | 1.628039 |
| 10.4461 | 1.627465 |
| 10.5431 | 1.626915 |
| 10.641 | 1.626387 |
| 10.7399 | 1.625881 |
| 10.8396 | 1.625395 |
| 10.9403 | 1.624927 |
| 11.0419 | 1.624478 |
| 11.1445 | 1.624046 |
| 11.248 | 1.62363 |
| 11.3525 | 1.623229 |
| 11.4579 | 1.622842 |
| 11.5643 | 1.62247 |
| 11.6717 | 1.622111 |
| 11.7802 | 1.621764 |
| 11.8896 | 1.621429 |
| 12 | 1.621105 |
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.