Optical constants
Refractive index of CS2 (Carbon disulfide)
Chang et al. 2024: n 0.4–2.0 µm
- Data
- formula 1
- Range
- 0.4–2 µm
- Temperature
- 295 K
- Licence
- CC0-1.0
Plot
Click the plot to set the calculator wavelength.
At one wavelength
- Refractive index n
- 1.62361
- Extinction coefficient k
- 0
- Permittivity ε1
- 2.63611
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- 20.218
- Chromatic dispersion dn/dλ
- -0.156189 µm⁻¹
- Group index ng
- 1.71539
- Group velocity dispersion
- 311.754 fs²/mm
- Dispersion parameter D
- -1700.79 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): Chang et al. 2024: n 0.4–2.0 µm
cs2 = ls.fetch_refractiveindex("main", "CS2", "Chang", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cs2.range_nm) # (400, 2000) 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_551f70ff6c69/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/chang-2024).
# ... 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_551f70ff6c69/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 0.4 to 2.0 µm.
Coefficients as stored
| Ci | Value |
|---|---|
| C1 | 0.0 |
| C2 | 1.502 |
| C3 | 0.169 |
| C4 | 0.163 |
| C5 | 6.52 |
Comments and conditions
Conditions
- temperature
- 295 K
References
- doi:10.1364/ome.519907 Refractive index measurements of liquids from 0.5 to 2 µm using Rayleigh interferometry, Optical Materials Express (2024)
Cite
Hao-Jung Chang et al.. Refractive index measurements of liquids from 0.5 to 2 µm using Rayleigh interferometry. Optical Materials Express, 14, 1253 (2024), doi:10.1364/ome.519907; 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 |
|---|---|
| 0.4 | 1.681595 |
| 0.401617 | 1.680645 |
| 0.40324 | 1.679707 |
| 0.40487 | 1.678778 |
| 0.406506 | 1.677859 |
| 0.408149 | 1.67695 |
| 0.409799 | 1.676051 |
| 0.411455 | 1.675162 |
| 0.413118 | 1.674282 |
| 0.414788 | 1.673412 |
| 0.416465 | 1.672551 |
| 0.418148 | 1.671699 |
| 0.419838 | 1.670856 |
| 0.421535 | 1.670022 |
| 0.423239 | 1.669197 |
| 0.424949 | 1.668381 |
| 0.426667 | 1.667573 |
| 0.428391 | 1.666773 |
| 0.430123 | 1.665982 |
| 0.431861 | 1.6652 |
| 0.433607 | 1.664425 |
| 0.435359 | 1.663658 |
| 0.437119 | 1.6629 |
| 0.438886 | 1.662149 |
| 0.44066 | 1.661406 |
| 0.442441 | 1.660671 |
| 0.444229 | 1.659943 |
| 0.446024 | 1.659223 |
| 0.447827 | 1.65851 |
| 0.449637 | 1.657804 |
| 0.451455 | 1.657106 |
| 0.453279 | 1.656414 |
| 0.455111 | 1.65573 |
| 0.456951 | 1.655053 |
| 0.458798 | 1.654382 |
| 0.460652 | 1.653718 |
| 0.462514 | 1.653061 |
| 0.464383 | 1.652411 |
| 0.46626 | 1.651767 |
| 0.468145 | 1.651129 |
| 0.470037 | 1.650498 |
| 0.471937 | 1.649873 |
| 0.473844 | 1.649255 |
| 0.47576 | 1.648642 |
| 0.477683 | 1.648036 |
| 0.479613 | 1.647435 |
| 0.481552 | 1.646841 |
| 0.483498 | 1.646252 |
| 0.485452 | 1.645669 |
| 0.487414 | 1.645092 |
| 0.489385 | 1.644521 |
| 0.491363 | 1.643955 |
| 0.493349 | 1.643395 |
| 0.495343 | 1.64284 |
| 0.497345 | 1.64229 |
| 0.499355 | 1.641746 |
| 0.501373 | 1.641207 |
| 0.5034 | 1.640674 |
| 0.505434 | 1.640145 |
| 0.507477 | 1.639622 |
| 0.509528 | 1.639103 |
| 0.511588 | 1.63859 |
| 0.513655 | 1.638082 |
| 0.515732 | 1.637578 |
| 0.517816 | 1.637079 |
| 0.519909 | 1.636585 |
| 0.52201 | 1.636096 |
| 0.52412 | 1.635611 |
| 0.526239 | 1.635131 |
| 0.528366 | 1.634656 |
| 0.530501 | 1.634185 |
| 0.532645 | 1.633718 |
| 0.534798 | 1.633256 |
| 0.53696 | 1.632799 |
| 0.53913 | 1.632345 |
| 0.541309 | 1.631896 |
| 0.543497 | 1.631451 |
| 0.545694 | 1.63101 |
| 0.547899 | 1.630573 |
| 0.550114 | 1.630141 |
| 0.552337 | 1.629712 |
| 0.55457 | 1.629288 |
| 0.556811 | 1.628867 |
| 0.559062 | 1.62845 |
| 0.561321 | 1.628037 |
| 0.56359 | 1.627628 |
| 0.565868 | 1.627223 |
| 0.568155 | 1.626821 |
| 0.570452 | 1.626424 |
| 0.572757 | 1.626029 |
| 0.575072 | 1.625639 |
| 0.577397 | 1.625252 |
| 0.57973 | 1.624868 |
| 0.582073 | 1.624488 |
| 0.584426 | 1.624112 |
| 0.586788 | 1.623739 |
| 0.58916 | 1.623369 |
| 0.591541 | 1.623003 |
| 0.593932 | 1.62264 |
| 0.596333 | 1.62228 |
| 0.598743 | 1.621924 |
| 0.601163 | 1.62157 |
| 0.603593 | 1.62122 |
| 0.606032 | 1.620873 |
| 0.608482 | 1.62053 |
| 0.610941 | 1.620189 |
| 0.613411 | 1.619851 |
| 0.61589 | 1.619517 |
| 0.618379 | 1.619185 |
| 0.620879 | 1.618857 |
| 0.623388 | 1.618531 |
| 0.625908 | 1.618208 |
| 0.628438 | 1.617888 |
| 0.630978 | 1.617571 |
| 0.633528 | 1.617257 |
| 0.636088 | 1.616945 |
| 0.638659 | 1.616636 |
| 0.641241 | 1.61633 |
| 0.643833 | 1.616027 |
| 0.646435 | 1.615726 |
| 0.649048 | 1.615428 |
| 0.651671 | 1.615133 |
| 0.654305 | 1.61484 |
| 0.656949 | 1.61455 |
| 0.659605 | 1.614262 |
| 0.662271 | 1.613977 |
| 0.664948 | 1.613694 |
| 0.667635 | 1.613414 |
| 0.670334 | 1.613136 |
| 0.673043 | 1.61286 |
| 0.675763 | 1.612587 |
| 0.678495 | 1.612317 |
| 0.681237 | 1.612048 |
| 0.68399 | 1.611782 |
| 0.686755 | 1.611519 |
| 0.689531 | 1.611257 |
| 0.692318 | 1.610998 |
| 0.695116 | 1.610741 |
| 0.697925 | 1.610486 |
| 0.700746 | 1.610234 |
| 0.703579 | 1.609983 |
| 0.706422 | 1.609735 |
| 0.709278 | 1.609489 |
| 0.712144 | 1.609244 |
| 0.715023 | 1.609002 |
| 0.717913 | 1.608762 |
| 0.720814 | 1.608524 |
| 0.723728 | 1.608288 |
| 0.726653 | 1.608055 |
| 0.72959 | 1.607823 |
| 0.732539 | 1.607592 |
| 0.7355 | 1.607364 |
| 0.738472 | 1.607138 |
| 0.741457 | 1.606914 |
| 0.744454 | 1.606691 |
| 0.747463 | 1.606471 |
| 0.750484 | 1.606252 |
| 0.753517 | 1.606035 |
| 0.756563 | 1.60582 |
| 0.759621 | 1.605607 |
| 0.762691 | 1.605395 |
| 0.765774 | 1.605185 |
| 0.768869 | 1.604977 |
| 0.771977 | 1.604771 |
| 0.775097 | 1.604566 |
| 0.77823 | 1.604363 |
| 0.781375 | 1.604162 |
| 0.784533 | 1.603962 |
| 0.787704 | 1.603764 |
| 0.790888 | 1.603568 |
| 0.794085 | 1.603373 |
| 0.797294 | 1.60318 |
| 0.800517 | 1.602988 |
| 0.803752 | 1.602798 |
| 0.807001 | 1.602609 |
| 0.810263 | 1.602422 |
| 0.813538 | 1.602237 |
| 0.816826 | 1.602053 |
| 0.820127 | 1.60187 |
| 0.823442 | 1.601689 |
| 0.82677 | 1.601509 |
| 0.830112 | 1.601331 |
| 0.833467 | 1.601154 |
| 0.836836 | 1.600979 |
| 0.840218 | 1.600805 |
| 0.843614 | 1.600632 |
| 0.847024 | 1.600461 |
| 0.850447 | 1.600291 |
| 0.853885 | 1.600122 |
| 0.857336 | 1.599955 |
| 0.860801 | 1.599789 |
| 0.86428 | 1.599624 |
| 0.867774 | 1.599461 |
| 0.871281 | 1.599299 |
| 0.874803 | 1.599138 |
| 0.878338 | 1.598978 |
| 0.881888 | 1.59882 |
| 0.885453 | 1.598662 |
| 0.889032 | 1.598506 |
| 0.892625 | 1.598352 |
| 0.896233 | 1.598198 |
| 0.899855 | 1.598046 |
| 0.903492 | 1.597894 |
| 0.907144 | 1.597744 |
| 0.910811 | 1.597595 |
| 0.914492 | 1.597448 |
| 0.918188 | 1.597301 |
| 0.921899 | 1.597155 |
| 0.925626 | 1.597011 |
| 0.929367 | 1.596867 |
| 0.933123 | 1.596725 |
| 0.936895 | 1.596584 |
| 0.940681 | 1.596443 |
| 0.944483 | 1.596304 |
| 0.948301 | 1.596166 |
| 0.952134 | 1.596029 |
| 0.955982 | 1.595893 |
| 0.959846 | 1.595757 |
| 0.963726 | 1.595623 |
| 0.967621 | 1.59549 |
| 0.971532 | 1.595358 |
| 0.975458 | 1.595226 |
| 0.979401 | 1.595096 |
| 0.98336 | 1.594967 |
| 0.987334 | 1.594838 |
| 0.991325 | 1.594711 |
| 0.995332 | 1.594584 |
| 0.999355 | 1.594458 |
| 1.00339 | 1.594333 |
| 1.00745 | 1.594209 |
| 1.01152 | 1.594086 |
| 1.01561 | 1.593964 |
| 1.01971 | 1.593843 |
| 1.02384 | 1.593722 |
| 1.02797 | 1.593602 |
| 1.03213 | 1.593483 |
| 1.0363 | 1.593365 |
| 1.04049 | 1.593248 |
| 1.04469 | 1.593131 |
| 1.04892 | 1.593016 |
| 1.05316 | 1.592901 |
| 1.05741 | 1.592787 |
| 1.06169 | 1.592673 |
| 1.06598 | 1.592561 |
| 1.07029 | 1.592449 |
| 1.07461 | 1.592338 |
| 1.07896 | 1.592227 |
| 1.08332 | 1.592117 |
| 1.0877 | 1.592008 |
| 1.09209 | 1.5919 |
| 1.09651 | 1.591793 |
| 1.10094 | 1.591686 |
| 1.10539 | 1.591579 |
| 1.10986 | 1.591474 |
| 1.11434 | 1.591369 |
| 1.11885 | 1.591265 |
| 1.12337 | 1.591161 |
| 1.12791 | 1.591058 |
| 1.13247 | 1.590956 |
| 1.13704 | 1.590854 |
| 1.14164 | 1.590753 |
| 1.14625 | 1.590653 |
| 1.15089 | 1.590553 |
| 1.15554 | 1.590454 |
| 1.16021 | 1.590355 |
| 1.1649 | 1.590257 |
| 1.16961 | 1.59016 |
| 1.17433 | 1.590063 |
| 1.17908 | 1.589967 |
| 1.18385 | 1.589871 |
| 1.18863 | 1.589776 |
| 1.19344 | 1.589681 |
| 1.19826 | 1.589587 |
| 1.2031 | 1.589493 |
| 1.20797 | 1.5894 |
| 1.21285 | 1.589307 |
| 1.21775 | 1.589215 |
| 1.22267 | 1.589124 |
| 1.22761 | 1.589033 |
| 1.23258 | 1.588942 |
| 1.23756 | 1.588852 |
| 1.24256 | 1.588762 |
| 1.24758 | 1.588673 |
| 1.25262 | 1.588584 |
| 1.25769 | 1.588496 |
| 1.26277 | 1.588408 |
| 1.26787 | 1.588321 |
| 1.273 | 1.588234 |
| 1.27814 | 1.588147 |
| 1.28331 | 1.588061 |
| 1.2885 | 1.587976 |
| 1.2937 | 1.58789 |
| 1.29893 | 1.587806 |
| 1.30418 | 1.587721 |
| 1.30945 | 1.587637 |
| 1.31475 | 1.587553 |
| 1.32006 | 1.58747 |
| 1.3254 | 1.587387 |
| 1.33075 | 1.587305 |
| 1.33613 | 1.587222 |
| 1.34153 | 1.587141 |
| 1.34696 | 1.587059 |
| 1.3524 | 1.586978 |
| 1.35787 | 1.586897 |
| 1.36335 | 1.586817 |
| 1.36886 | 1.586736 |
| 1.3744 | 1.586657 |
| 1.37995 | 1.586577 |
| 1.38553 | 1.586498 |
| 1.39113 | 1.586419 |
| 1.39675 | 1.58634 |
| 1.4024 | 1.586262 |
| 1.40807 | 1.586184 |
| 1.41376 | 1.586106 |
| 1.41947 | 1.586029 |
| 1.42521 | 1.585951 |
| 1.43097 | 1.585874 |
| 1.43675 | 1.585798 |
| 1.44256 | 1.585721 |
| 1.44839 | 1.585645 |
| 1.45424 | 1.585569 |
| 1.46012 | 1.585493 |
| 1.46602 | 1.585418 |
| 1.47195 | 1.585342 |
| 1.4779 | 1.585267 |
| 1.48387 | 1.585192 |
| 1.48987 | 1.585118 |
| 1.49589 | 1.585043 |
| 1.50194 | 1.584969 |
| 1.50801 | 1.584895 |
| 1.5141 | 1.584821 |
| 1.52022 | 1.584747 |
| 1.52637 | 1.584674 |
| 1.53254 | 1.5846 |
| 1.53873 | 1.584527 |
| 1.54495 | 1.584454 |
| 1.55119 | 1.584381 |
| 1.55746 | 1.584308 |
| 1.56376 | 1.584235 |
| 1.57008 | 1.584163 |
| 1.57643 | 1.58409 |
| 1.5828 | 1.584018 |
| 1.58919 | 1.583946 |
| 1.59562 | 1.583874 |
| 1.60207 | 1.583802 |
| 1.60854 | 1.58373 |
| 1.61504 | 1.583658 |
| 1.62157 | 1.583587 |
| 1.62813 | 1.583515 |
| 1.63471 | 1.583443 |
| 1.64131 | 1.583372 |
| 1.64795 | 1.583301 |
| 1.65461 | 1.583229 |
| 1.6613 | 1.583158 |
| 1.66801 | 1.583087 |
| 1.67475 | 1.583015 |
| 1.68152 | 1.582944 |
| 1.68832 | 1.582873 |
| 1.69514 | 1.582802 |
| 1.70199 | 1.582731 |
| 1.70887 | 1.58266 |
| 1.71578 | 1.582589 |
| 1.72271 | 1.582518 |
| 1.72968 | 1.582447 |
| 1.73667 | 1.582375 |
| 1.74369 | 1.582304 |
| 1.75074 | 1.582233 |
| 1.75781 | 1.582162 |
| 1.76492 | 1.582091 |
| 1.77205 | 1.58202 |
| 1.77921 | 1.581948 |
| 1.7864 | 1.581877 |
| 1.79362 | 1.581806 |
| 1.80087 | 1.581734 |
| 1.80815 | 1.581663 |
| 1.81546 | 1.581591 |
| 1.8228 | 1.581519 |
| 1.83017 | 1.581447 |
| 1.83756 | 1.581376 |
| 1.84499 | 1.581304 |
| 1.85245 | 1.581231 |
| 1.85993 | 1.581159 |
| 1.86745 | 1.581087 |
| 1.875 | 1.581014 |
| 1.88258 | 1.580942 |
| 1.89019 | 1.580869 |
| 1.89783 | 1.580796 |
| 1.9055 | 1.580723 |
| 1.9132 | 1.58065 |
| 1.92093 | 1.580577 |
| 1.9287 | 1.580503 |
| 1.93649 | 1.58043 |
| 1.94432 | 1.580356 |
| 1.95218 | 1.580282 |
| 1.96007 | 1.580207 |
| 1.96799 | 1.580133 |
| 1.97594 | 1.580058 |
| 1.98393 | 1.579983 |
| 1.99195 | 1.579908 |
| 2 | 1.579833 |
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
- —
21.5–22.0 °C.