Optical constants
Refractive index of C6H5NO2 (Nitrobenzene)
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
- 1.55076
- Extinction coefficient k
- 0
- Permittivity ε1
- 2.40486
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- 22.918
- Chromatic dispersion dn/dλ
- -0.121804 µm⁻¹
- Group index ng
- 1.62233
- Group velocity dispersion
- 243.52 fs²/mm
- Dispersion parameter D
- -1328.53 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
# C6H5NO2 (Nitrobenzene): Chang et al. 2024: n 0.4–2.0 µm
c6h5no2 = ls.fetch_refractiveindex("organic", "nitrobenzene", "Chang", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(c6h5no2.range_nm) # (400, 2000) nm
eps = c6h5no2.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_dd18bd727e83/lightsmith"
c6h5no2 = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(c6h5no2.source) # citation and provenance travel with the data
Any dataset here, as the library's Tabulated material (nitrobenzene/chang-2024).
# ... load c6h5no2 as above, then:
sim = ls.Simulation(
particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=c6h5no2)],
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_dd18bd727e83/lightsmith?model=drude_lorentz"
c6h5no2_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 | 1.302 |
| C3 | 0.159 |
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 | 1.595722 |
| 0.401617 | 1.594993 |
| 0.40324 | 1.594271 |
| 0.40487 | 1.593556 |
| 0.406506 | 1.59285 |
| 0.408149 | 1.59215 |
| 0.409799 | 1.591458 |
| 0.411455 | 1.590773 |
| 0.413118 | 1.590095 |
| 0.414788 | 1.589425 |
| 0.416465 | 1.588761 |
| 0.418148 | 1.588104 |
| 0.419838 | 1.587454 |
| 0.421535 | 1.586811 |
| 0.423239 | 1.586174 |
| 0.424949 | 1.585544 |
| 0.426667 | 1.58492 |
| 0.428391 | 1.584303 |
| 0.430123 | 1.583692 |
| 0.431861 | 1.583087 |
| 0.433607 | 1.582488 |
| 0.435359 | 1.581895 |
| 0.437119 | 1.581309 |
| 0.438886 | 1.580728 |
| 0.44066 | 1.580153 |
| 0.442441 | 1.579584 |
| 0.444229 | 1.579021 |
| 0.446024 | 1.578463 |
| 0.447827 | 1.577911 |
| 0.449637 | 1.577364 |
| 0.451455 | 1.576823 |
| 0.453279 | 1.576287 |
| 0.455111 | 1.575757 |
| 0.456951 | 1.575232 |
| 0.458798 | 1.574712 |
| 0.460652 | 1.574197 |
| 0.462514 | 1.573687 |
| 0.464383 | 1.573183 |
| 0.46626 | 1.572683 |
| 0.468145 | 1.572188 |
| 0.470037 | 1.571698 |
| 0.471937 | 1.571213 |
| 0.473844 | 1.570733 |
| 0.47576 | 1.570257 |
| 0.477683 | 1.569786 |
| 0.479613 | 1.569319 |
| 0.481552 | 1.568857 |
| 0.483498 | 1.5684 |
| 0.485452 | 1.567947 |
| 0.487414 | 1.567498 |
| 0.489385 | 1.567054 |
| 0.491363 | 1.566614 |
| 0.493349 | 1.566178 |
| 0.495343 | 1.565746 |
| 0.497345 | 1.565319 |
| 0.499355 | 1.564895 |
| 0.501373 | 1.564476 |
| 0.5034 | 1.564061 |
| 0.505434 | 1.563649 |
| 0.507477 | 1.563242 |
| 0.509528 | 1.562838 |
| 0.511588 | 1.562438 |
| 0.513655 | 1.562043 |
| 0.515732 | 1.56165 |
| 0.517816 | 1.561262 |
| 0.519909 | 1.560877 |
| 0.52201 | 1.560496 |
| 0.52412 | 1.560118 |
| 0.526239 | 1.559744 |
| 0.528366 | 1.559374 |
| 0.530501 | 1.559007 |
| 0.532645 | 1.558643 |
| 0.534798 | 1.558283 |
| 0.53696 | 1.557926 |
| 0.53913 | 1.557573 |
| 0.541309 | 1.557223 |
| 0.543497 | 1.556876 |
| 0.545694 | 1.556532 |
| 0.547899 | 1.556192 |
| 0.550114 | 1.555854 |
| 0.552337 | 1.55552 |
| 0.55457 | 1.555189 |
| 0.556811 | 1.554861 |
| 0.559062 | 1.554536 |
| 0.561321 | 1.554214 |
| 0.56359 | 1.553895 |
| 0.565868 | 1.553579 |
| 0.568155 | 1.553266 |
| 0.570452 | 1.552955 |
| 0.572757 | 1.552648 |
| 0.575072 | 1.552343 |
| 0.577397 | 1.552042 |
| 0.57973 | 1.551742 |
| 0.582073 | 1.551446 |
| 0.584426 | 1.551153 |
| 0.586788 | 1.550862 |
| 0.58916 | 1.550573 |
| 0.591541 | 1.550288 |
| 0.593932 | 1.550005 |
| 0.596333 | 1.549724 |
| 0.598743 | 1.549446 |
| 0.601163 | 1.549171 |
| 0.603593 | 1.548898 |
| 0.606032 | 1.548627 |
| 0.608482 | 1.548359 |
| 0.610941 | 1.548094 |
| 0.613411 | 1.547831 |
| 0.61589 | 1.54757 |
| 0.618379 | 1.547311 |
| 0.620879 | 1.547055 |
| 0.623388 | 1.546801 |
| 0.625908 | 1.54655 |
| 0.628438 | 1.546301 |
| 0.630978 | 1.546053 |
| 0.633528 | 1.545809 |
| 0.636088 | 1.545566 |
| 0.638659 | 1.545326 |
| 0.641241 | 1.545087 |
| 0.643833 | 1.544851 |
| 0.646435 | 1.544617 |
| 0.649048 | 1.544385 |
| 0.651671 | 1.544155 |
| 0.654305 | 1.543927 |
| 0.656949 | 1.543701 |
| 0.659605 | 1.543477 |
| 0.662271 | 1.543255 |
| 0.664948 | 1.543036 |
| 0.667635 | 1.542818 |
| 0.670334 | 1.542602 |
| 0.673043 | 1.542387 |
| 0.675763 | 1.542175 |
| 0.678495 | 1.541965 |
| 0.681237 | 1.541756 |
| 0.68399 | 1.54155 |
| 0.686755 | 1.541345 |
| 0.689531 | 1.541142 |
| 0.692318 | 1.540941 |
| 0.695116 | 1.540741 |
| 0.697925 | 1.540544 |
| 0.700746 | 1.540348 |
| 0.703579 | 1.540153 |
| 0.706422 | 1.539961 |
| 0.709278 | 1.53977 |
| 0.712144 | 1.539581 |
| 0.715023 | 1.539393 |
| 0.717913 | 1.539207 |
| 0.720814 | 1.539023 |
| 0.723728 | 1.53884 |
| 0.726653 | 1.538659 |
| 0.72959 | 1.53848 |
| 0.732539 | 1.538302 |
| 0.7355 | 1.538126 |
| 0.738472 | 1.537951 |
| 0.741457 | 1.537777 |
| 0.744454 | 1.537606 |
| 0.747463 | 1.537435 |
| 0.750484 | 1.537266 |
| 0.753517 | 1.537099 |
| 0.756563 | 1.536933 |
| 0.759621 | 1.536769 |
| 0.762691 | 1.536606 |
| 0.765774 | 1.536444 |
| 0.768869 | 1.536284 |
| 0.771977 | 1.536125 |
| 0.775097 | 1.535967 |
| 0.77823 | 1.535811 |
| 0.781375 | 1.535656 |
| 0.784533 | 1.535503 |
| 0.787704 | 1.535351 |
| 0.790888 | 1.5352 |
| 0.794085 | 1.535051 |
| 0.797294 | 1.534902 |
| 0.800517 | 1.534755 |
| 0.803752 | 1.53461 |
| 0.807001 | 1.534465 |
| 0.810263 | 1.534322 |
| 0.813538 | 1.53418 |
| 0.816826 | 1.534039 |
| 0.820127 | 1.5339 |
| 0.823442 | 1.533762 |
| 0.82677 | 1.533624 |
| 0.830112 | 1.533488 |
| 0.833467 | 1.533354 |
| 0.836836 | 1.53322 |
| 0.840218 | 1.533087 |
| 0.843614 | 1.532956 |
| 0.847024 | 1.532826 |
| 0.850447 | 1.532697 |
| 0.853885 | 1.532569 |
| 0.857336 | 1.532442 |
| 0.860801 | 1.532316 |
| 0.86428 | 1.532191 |
| 0.867774 | 1.532067 |
| 0.871281 | 1.531944 |
| 0.874803 | 1.531823 |
| 0.878338 | 1.531702 |
| 0.881888 | 1.531583 |
| 0.885453 | 1.531464 |
| 0.889032 | 1.531346 |
| 0.892625 | 1.53123 |
| 0.896233 | 1.531114 |
| 0.899855 | 1.531 |
| 0.903492 | 1.530886 |
| 0.907144 | 1.530773 |
| 0.910811 | 1.530662 |
| 0.914492 | 1.530551 |
| 0.918188 | 1.530441 |
| 0.921899 | 1.530332 |
| 0.925626 | 1.530224 |
| 0.929367 | 1.530117 |
| 0.933123 | 1.530011 |
| 0.936895 | 1.529906 |
| 0.940681 | 1.529801 |
| 0.944483 | 1.529698 |
| 0.948301 | 1.529595 |
| 0.952134 | 1.529493 |
| 0.955982 | 1.529393 |
| 0.959846 | 1.529292 |
| 0.963726 | 1.529193 |
| 0.967621 | 1.529095 |
| 0.971532 | 1.528997 |
| 0.975458 | 1.528901 |
| 0.979401 | 1.528805 |
| 0.98336 | 1.52871 |
| 0.987334 | 1.528615 |
| 0.991325 | 1.528522 |
| 0.995332 | 1.528429 |
| 0.999355 | 1.528337 |
| 1.00339 | 1.528246 |
| 1.00745 | 1.528156 |
| 1.01152 | 1.528066 |
| 1.01561 | 1.527977 |
| 1.01971 | 1.527889 |
| 1.02384 | 1.527801 |
| 1.02797 | 1.527715 |
| 1.03213 | 1.527629 |
| 1.0363 | 1.527543 |
| 1.04049 | 1.527459 |
| 1.04469 | 1.527375 |
| 1.04892 | 1.527292 |
| 1.05316 | 1.52721 |
| 1.05741 | 1.527128 |
| 1.06169 | 1.527047 |
| 1.06598 | 1.526966 |
| 1.07029 | 1.526887 |
| 1.07461 | 1.526808 |
| 1.07896 | 1.526729 |
| 1.08332 | 1.526652 |
| 1.0877 | 1.526574 |
| 1.09209 | 1.526498 |
| 1.09651 | 1.526422 |
| 1.10094 | 1.526347 |
| 1.10539 | 1.526273 |
| 1.10986 | 1.526199 |
| 1.11434 | 1.526125 |
| 1.11885 | 1.526053 |
| 1.12337 | 1.52598 |
| 1.12791 | 1.525909 |
| 1.13247 | 1.525838 |
| 1.13704 | 1.525768 |
| 1.14164 | 1.525698 |
| 1.14625 | 1.525629 |
| 1.15089 | 1.52556 |
| 1.15554 | 1.525492 |
| 1.16021 | 1.525425 |
| 1.1649 | 1.525358 |
| 1.16961 | 1.525292 |
| 1.17433 | 1.525226 |
| 1.17908 | 1.525161 |
| 1.18385 | 1.525096 |
| 1.18863 | 1.525032 |
| 1.19344 | 1.524968 |
| 1.19826 | 1.524905 |
| 1.2031 | 1.524843 |
| 1.20797 | 1.52478 |
| 1.21285 | 1.524719 |
| 1.21775 | 1.524658 |
| 1.22267 | 1.524597 |
| 1.22761 | 1.524537 |
| 1.23258 | 1.524478 |
| 1.23756 | 1.524419 |
| 1.24256 | 1.52436 |
| 1.24758 | 1.524302 |
| 1.25262 | 1.524245 |
| 1.25769 | 1.524187 |
| 1.26277 | 1.524131 |
| 1.26787 | 1.524075 |
| 1.273 | 1.524019 |
| 1.27814 | 1.523964 |
| 1.28331 | 1.523909 |
| 1.2885 | 1.523855 |
| 1.2937 | 1.523801 |
| 1.29893 | 1.523747 |
| 1.30418 | 1.523694 |
| 1.30945 | 1.523642 |
| 1.31475 | 1.52359 |
| 1.32006 | 1.523538 |
| 1.3254 | 1.523487 |
| 1.33075 | 1.523436 |
| 1.33613 | 1.523385 |
| 1.34153 | 1.523335 |
| 1.34696 | 1.523286 |
| 1.3524 | 1.523236 |
| 1.35787 | 1.523188 |
| 1.36335 | 1.523139 |
| 1.36886 | 1.523091 |
| 1.3744 | 1.523044 |
| 1.37995 | 1.522996 |
| 1.38553 | 1.52295 |
| 1.39113 | 1.522903 |
| 1.39675 | 1.522857 |
| 1.4024 | 1.522811 |
| 1.40807 | 1.522766 |
| 1.41376 | 1.522721 |
| 1.41947 | 1.522677 |
| 1.42521 | 1.522632 |
| 1.43097 | 1.522588 |
| 1.43675 | 1.522545 |
| 1.44256 | 1.522502 |
| 1.44839 | 1.522459 |
| 1.45424 | 1.522417 |
| 1.46012 | 1.522375 |
| 1.46602 | 1.522333 |
| 1.47195 | 1.522292 |
| 1.4779 | 1.52225 |
| 1.48387 | 1.52221 |
| 1.48987 | 1.522169 |
| 1.49589 | 1.522129 |
| 1.50194 | 1.52209 |
| 1.50801 | 1.52205 |
| 1.5141 | 1.522011 |
| 1.52022 | 1.521972 |
| 1.52637 | 1.521934 |
| 1.53254 | 1.521896 |
| 1.53873 | 1.521858 |
| 1.54495 | 1.521821 |
| 1.55119 | 1.521783 |
| 1.55746 | 1.521747 |
| 1.56376 | 1.52171 |
| 1.57008 | 1.521674 |
| 1.57643 | 1.521638 |
| 1.5828 | 1.521602 |
| 1.58919 | 1.521567 |
| 1.59562 | 1.521532 |
| 1.60207 | 1.521497 |
| 1.60854 | 1.521462 |
| 1.61504 | 1.521428 |
| 1.62157 | 1.521394 |
| 1.62813 | 1.52136 |
| 1.63471 | 1.521327 |
| 1.64131 | 1.521294 |
| 1.64795 | 1.521261 |
| 1.65461 | 1.521228 |
| 1.6613 | 1.521196 |
| 1.66801 | 1.521164 |
| 1.67475 | 1.521132 |
| 1.68152 | 1.5211 |
| 1.68832 | 1.521069 |
| 1.69514 | 1.521038 |
| 1.70199 | 1.521007 |
| 1.70887 | 1.520977 |
| 1.71578 | 1.520946 |
| 1.72271 | 1.520916 |
| 1.72968 | 1.520887 |
| 1.73667 | 1.520857 |
| 1.74369 | 1.520828 |
| 1.75074 | 1.520799 |
| 1.75781 | 1.52077 |
| 1.76492 | 1.520741 |
| 1.77205 | 1.520713 |
| 1.77921 | 1.520685 |
| 1.7864 | 1.520657 |
| 1.79362 | 1.520629 |
| 1.80087 | 1.520602 |
| 1.80815 | 1.520574 |
| 1.81546 | 1.520547 |
| 1.8228 | 1.520521 |
| 1.83017 | 1.520494 |
| 1.83756 | 1.520468 |
| 1.84499 | 1.520441 |
| 1.85245 | 1.520416 |
| 1.85993 | 1.52039 |
| 1.86745 | 1.520364 |
| 1.875 | 1.520339 |
| 1.88258 | 1.520314 |
| 1.89019 | 1.520289 |
| 1.89783 | 1.520264 |
| 1.9055 | 1.52024 |
| 1.9132 | 1.520215 |
| 1.92093 | 1.520191 |
| 1.9287 | 1.520167 |
| 1.93649 | 1.520144 |
| 1.94432 | 1.52012 |
| 1.95218 | 1.520097 |
| 1.96007 | 1.520074 |
| 1.96799 | 1.520051 |
| 1.97594 | 1.520028 |
| 1.98393 | 1.520006 |
| 1.99195 | 1.519983 |
| 2 | 1.519961 |
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