Optical constants
Refractive index of C7F5N (Pentafluorobenzonitrile)
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
- 1.4416
- Extinction coefficient k
- 0
- Permittivity ε1
- 2.07821
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- 29.342
- Chromatic dispersion dn/dλ
- -0.0766036 µm⁻¹
- Group index ng
- 1.48661
- Group velocity dispersion
- 150.324 fs²/mm
- Dispersion parameter D
- -820.1 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
# C7F5N (Pentafluorobenzonitrile): Chang et al. 2024: n 0.4–2.0 µm
c7f5n = ls.fetch_refractiveindex("organic", "pentafluorobenzonitrile", "Chang", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(c7f5n.range_nm) # (400, 2000) nm
eps = c7f5n.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_ba9669013b6c/lightsmith"
c7f5n = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(c7f5n.source) # citation and provenance travel with the data
Any dataset here, as the library's Tabulated material (pentafluorobenzonitrile/chang-2024).
# ... load c7f5n as above, then:
sim = ls.Simulation(
particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=c7f5n)],
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_ba9669013b6c/lightsmith?model=drude_lorentz"
c7f5n_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 | 1.017 |
| C3 | 0.14 |
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 | 1.469345 |
| 0.401617 | 1.468903 |
| 0.40324 | 1.468465 |
| 0.40487 | 1.468032 |
| 0.406506 | 1.467603 |
| 0.408149 | 1.467179 |
| 0.409799 | 1.466758 |
| 0.411455 | 1.466342 |
| 0.413118 | 1.46593 |
| 0.414788 | 1.465521 |
| 0.416465 | 1.465117 |
| 0.418148 | 1.464717 |
| 0.419838 | 1.464321 |
| 0.421535 | 1.463928 |
| 0.423239 | 1.46354 |
| 0.424949 | 1.463155 |
| 0.426667 | 1.462774 |
| 0.428391 | 1.462397 |
| 0.430123 | 1.462023 |
| 0.431861 | 1.461653 |
| 0.433607 | 1.461286 |
| 0.435359 | 1.460923 |
| 0.437119 | 1.460564 |
| 0.438886 | 1.460208 |
| 0.44066 | 1.459855 |
| 0.442441 | 1.459506 |
| 0.444229 | 1.45916 |
| 0.446024 | 1.458818 |
| 0.447827 | 1.458478 |
| 0.449637 | 1.458142 |
| 0.451455 | 1.457809 |
| 0.453279 | 1.45748 |
| 0.455111 | 1.457153 |
| 0.456951 | 1.45683 |
| 0.458798 | 1.456509 |
| 0.460652 | 1.456192 |
| 0.462514 | 1.455878 |
| 0.464383 | 1.455566 |
| 0.46626 | 1.455258 |
| 0.468145 | 1.454952 |
| 0.470037 | 1.45465 |
| 0.471937 | 1.45435 |
| 0.473844 | 1.454053 |
| 0.47576 | 1.453758 |
| 0.477683 | 1.453467 |
| 0.479613 | 1.453178 |
| 0.481552 | 1.452892 |
| 0.483498 | 1.452609 |
| 0.485452 | 1.452328 |
| 0.487414 | 1.45205 |
| 0.489385 | 1.451774 |
| 0.491363 | 1.451501 |
| 0.493349 | 1.45123 |
| 0.495343 | 1.450962 |
| 0.497345 | 1.450697 |
| 0.499355 | 1.450434 |
| 0.501373 | 1.450173 |
| 0.5034 | 1.449915 |
| 0.505434 | 1.449659 |
| 0.507477 | 1.449406 |
| 0.509528 | 1.449154 |
| 0.511588 | 1.448905 |
| 0.513655 | 1.448659 |
| 0.515732 | 1.448415 |
| 0.517816 | 1.448172 |
| 0.519909 | 1.447932 |
| 0.52201 | 1.447695 |
| 0.52412 | 1.447459 |
| 0.526239 | 1.447226 |
| 0.528366 | 1.446995 |
| 0.530501 | 1.446765 |
| 0.532645 | 1.446538 |
| 0.534798 | 1.446313 |
| 0.53696 | 1.44609 |
| 0.53913 | 1.445869 |
| 0.541309 | 1.44565 |
| 0.543497 | 1.445433 |
| 0.545694 | 1.445218 |
| 0.547899 | 1.445005 |
| 0.550114 | 1.444794 |
| 0.552337 | 1.444584 |
| 0.55457 | 1.444377 |
| 0.556811 | 1.444172 |
| 0.559062 | 1.443968 |
| 0.561321 | 1.443766 |
| 0.56359 | 1.443566 |
| 0.565868 | 1.443368 |
| 0.568155 | 1.443171 |
| 0.570452 | 1.442976 |
| 0.572757 | 1.442783 |
| 0.575072 | 1.442592 |
| 0.577397 | 1.442402 |
| 0.57973 | 1.442214 |
| 0.582073 | 1.442028 |
| 0.584426 | 1.441844 |
| 0.586788 | 1.441661 |
| 0.58916 | 1.441479 |
| 0.591541 | 1.4413 |
| 0.593932 | 1.441122 |
| 0.596333 | 1.440945 |
| 0.598743 | 1.44077 |
| 0.601163 | 1.440597 |
| 0.603593 | 1.440425 |
| 0.606032 | 1.440254 |
| 0.608482 | 1.440086 |
| 0.610941 | 1.439918 |
| 0.613411 | 1.439752 |
| 0.61589 | 1.439588 |
| 0.618379 | 1.439425 |
| 0.620879 | 1.439263 |
| 0.623388 | 1.439103 |
| 0.625908 | 1.438944 |
| 0.628438 | 1.438787 |
| 0.630978 | 1.438631 |
| 0.633528 | 1.438476 |
| 0.636088 | 1.438323 |
| 0.638659 | 1.438171 |
| 0.641241 | 1.438021 |
| 0.643833 | 1.437871 |
| 0.646435 | 1.437723 |
| 0.649048 | 1.437577 |
| 0.651671 | 1.437431 |
| 0.654305 | 1.437287 |
| 0.656949 | 1.437144 |
| 0.659605 | 1.437003 |
| 0.662271 | 1.436862 |
| 0.664948 | 1.436723 |
| 0.667635 | 1.436585 |
| 0.670334 | 1.436448 |
| 0.673043 | 1.436313 |
| 0.675763 | 1.436178 |
| 0.678495 | 1.436045 |
| 0.681237 | 1.435913 |
| 0.68399 | 1.435782 |
| 0.686755 | 1.435652 |
| 0.689531 | 1.435523 |
| 0.692318 | 1.435396 |
| 0.695116 | 1.435269 |
| 0.697925 | 1.435144 |
| 0.700746 | 1.43502 |
| 0.703579 | 1.434896 |
| 0.706422 | 1.434774 |
| 0.709278 | 1.434653 |
| 0.712144 | 1.434533 |
| 0.715023 | 1.434414 |
| 0.717913 | 1.434296 |
| 0.720814 | 1.434179 |
| 0.723728 | 1.434063 |
| 0.726653 | 1.433948 |
| 0.72959 | 1.433834 |
| 0.732539 | 1.433721 |
| 0.7355 | 1.433608 |
| 0.738472 | 1.433497 |
| 0.741457 | 1.433387 |
| 0.744454 | 1.433278 |
| 0.747463 | 1.43317 |
| 0.750484 | 1.433062 |
| 0.753517 | 1.432956 |
| 0.756563 | 1.43285 |
| 0.759621 | 1.432745 |
| 0.762691 | 1.432642 |
| 0.765774 | 1.432539 |
| 0.768869 | 1.432437 |
| 0.771977 | 1.432336 |
| 0.775097 | 1.432235 |
| 0.77823 | 1.432136 |
| 0.781375 | 1.432037 |
| 0.784533 | 1.43194 |
| 0.787704 | 1.431843 |
| 0.790888 | 1.431747 |
| 0.794085 | 1.431651 |
| 0.797294 | 1.431557 |
| 0.800517 | 1.431463 |
| 0.803752 | 1.43137 |
| 0.807001 | 1.431278 |
| 0.810263 | 1.431187 |
| 0.813538 | 1.431096 |
| 0.816826 | 1.431007 |
| 0.820127 | 1.430918 |
| 0.823442 | 1.430829 |
| 0.82677 | 1.430742 |
| 0.830112 | 1.430655 |
| 0.833467 | 1.430569 |
| 0.836836 | 1.430484 |
| 0.840218 | 1.430399 |
| 0.843614 | 1.430315 |
| 0.847024 | 1.430232 |
| 0.850447 | 1.43015 |
| 0.853885 | 1.430068 |
| 0.857336 | 1.429987 |
| 0.860801 | 1.429906 |
| 0.86428 | 1.429827 |
| 0.867774 | 1.429748 |
| 0.871281 | 1.429669 |
| 0.874803 | 1.429591 |
| 0.878338 | 1.429514 |
| 0.881888 | 1.429438 |
| 0.885453 | 1.429362 |
| 0.889032 | 1.429287 |
| 0.892625 | 1.429212 |
| 0.896233 | 1.429139 |
| 0.899855 | 1.429065 |
| 0.903492 | 1.428993 |
| 0.907144 | 1.428921 |
| 0.910811 | 1.428849 |
| 0.914492 | 1.428778 |
| 0.918188 | 1.428708 |
| 0.921899 | 1.428638 |
| 0.925626 | 1.428569 |
| 0.929367 | 1.428501 |
| 0.933123 | 1.428433 |
| 0.936895 | 1.428365 |
| 0.940681 | 1.428299 |
| 0.944483 | 1.428232 |
| 0.948301 | 1.428167 |
| 0.952134 | 1.428101 |
| 0.955982 | 1.428037 |
| 0.959846 | 1.427973 |
| 0.963726 | 1.427909 |
| 0.967621 | 1.427846 |
| 0.971532 | 1.427784 |
| 0.975458 | 1.427722 |
| 0.979401 | 1.42766 |
| 0.98336 | 1.427599 |
| 0.987334 | 1.427539 |
| 0.991325 | 1.427479 |
| 0.995332 | 1.42742 |
| 0.999355 | 1.427361 |
| 1.00339 | 1.427302 |
| 1.00745 | 1.427244 |
| 1.01152 | 1.427187 |
| 1.01561 | 1.42713 |
| 1.01971 | 1.427073 |
| 1.02384 | 1.427017 |
| 1.02797 | 1.426962 |
| 1.03213 | 1.426907 |
| 1.0363 | 1.426852 |
| 1.04049 | 1.426798 |
| 1.04469 | 1.426744 |
| 1.04892 | 1.426691 |
| 1.05316 | 1.426638 |
| 1.05741 | 1.426585 |
| 1.06169 | 1.426533 |
| 1.06598 | 1.426482 |
| 1.07029 | 1.426431 |
| 1.07461 | 1.42638 |
| 1.07896 | 1.426329 |
| 1.08332 | 1.42628 |
| 1.0877 | 1.42623 |
| 1.09209 | 1.426181 |
| 1.09651 | 1.426132 |
| 1.10094 | 1.426084 |
| 1.10539 | 1.426036 |
| 1.10986 | 1.425989 |
| 1.11434 | 1.425942 |
| 1.11885 | 1.425895 |
| 1.12337 | 1.425849 |
| 1.12791 | 1.425803 |
| 1.13247 | 1.425757 |
| 1.13704 | 1.425712 |
| 1.14164 | 1.425667 |
| 1.14625 | 1.425623 |
| 1.15089 | 1.425579 |
| 1.15554 | 1.425535 |
| 1.16021 | 1.425492 |
| 1.1649 | 1.425449 |
| 1.16961 | 1.425406 |
| 1.17433 | 1.425364 |
| 1.17908 | 1.425322 |
| 1.18385 | 1.425281 |
| 1.18863 | 1.425239 |
| 1.19344 | 1.425198 |
| 1.19826 | 1.425158 |
| 1.2031 | 1.425118 |
| 1.20797 | 1.425078 |
| 1.21285 | 1.425038 |
| 1.21775 | 1.424999 |
| 1.22267 | 1.42496 |
| 1.22761 | 1.424921 |
| 1.23258 | 1.424883 |
| 1.23756 | 1.424845 |
| 1.24256 | 1.424808 |
| 1.24758 | 1.42477 |
| 1.25262 | 1.424733 |
| 1.25769 | 1.424696 |
| 1.26277 | 1.42466 |
| 1.26787 | 1.424624 |
| 1.273 | 1.424588 |
| 1.27814 | 1.424552 |
| 1.28331 | 1.424517 |
| 1.2885 | 1.424482 |
| 1.2937 | 1.424448 |
| 1.29893 | 1.424413 |
| 1.30418 | 1.424379 |
| 1.30945 | 1.424345 |
| 1.31475 | 1.424312 |
| 1.32006 | 1.424278 |
| 1.3254 | 1.424245 |
| 1.33075 | 1.424213 |
| 1.33613 | 1.42418 |
| 1.34153 | 1.424148 |
| 1.34696 | 1.424116 |
| 1.3524 | 1.424084 |
| 1.35787 | 1.424053 |
| 1.36335 | 1.424022 |
| 1.36886 | 1.423991 |
| 1.3744 | 1.42396 |
| 1.37995 | 1.42393 |
| 1.38553 | 1.4239 |
| 1.39113 | 1.42387 |
| 1.39675 | 1.42384 |
| 1.4024 | 1.423811 |
| 1.40807 | 1.423782 |
| 1.41376 | 1.423753 |
| 1.41947 | 1.423724 |
| 1.42521 | 1.423696 |
| 1.43097 | 1.423667 |
| 1.43675 | 1.423639 |
| 1.44256 | 1.423612 |
| 1.44839 | 1.423584 |
| 1.45424 | 1.423557 |
| 1.46012 | 1.42353 |
| 1.46602 | 1.423503 |
| 1.47195 | 1.423476 |
| 1.4779 | 1.42345 |
| 1.48387 | 1.423423 |
| 1.48987 | 1.423397 |
| 1.49589 | 1.423372 |
| 1.50194 | 1.423346 |
| 1.50801 | 1.423321 |
| 1.5141 | 1.423295 |
| 1.52022 | 1.42327 |
| 1.52637 | 1.423246 |
| 1.53254 | 1.423221 |
| 1.53873 | 1.423197 |
| 1.54495 | 1.423173 |
| 1.55119 | 1.423149 |
| 1.55746 | 1.423125 |
| 1.56376 | 1.423101 |
| 1.57008 | 1.423078 |
| 1.57643 | 1.423055 |
| 1.5828 | 1.423032 |
| 1.58919 | 1.423009 |
| 1.59562 | 1.422986 |
| 1.60207 | 1.422964 |
| 1.60854 | 1.422942 |
| 1.61504 | 1.422919 |
| 1.62157 | 1.422898 |
| 1.62813 | 1.422876 |
| 1.63471 | 1.422854 |
| 1.64131 | 1.422833 |
| 1.64795 | 1.422812 |
| 1.65461 | 1.422791 |
| 1.6613 | 1.42277 |
| 1.66801 | 1.422749 |
| 1.67475 | 1.422729 |
| 1.68152 | 1.422708 |
| 1.68832 | 1.422688 |
| 1.69514 | 1.422668 |
| 1.70199 | 1.422648 |
| 1.70887 | 1.422629 |
| 1.71578 | 1.422609 |
| 1.72271 | 1.42259 |
| 1.72968 | 1.42257 |
| 1.73667 | 1.422551 |
| 1.74369 | 1.422532 |
| 1.75074 | 1.422514 |
| 1.75781 | 1.422495 |
| 1.76492 | 1.422477 |
| 1.77205 | 1.422458 |
| 1.77921 | 1.42244 |
| 1.7864 | 1.422422 |
| 1.79362 | 1.422404 |
| 1.80087 | 1.422387 |
| 1.80815 | 1.422369 |
| 1.81546 | 1.422352 |
| 1.8228 | 1.422334 |
| 1.83017 | 1.422317 |
| 1.83756 | 1.4223 |
| 1.84499 | 1.422283 |
| 1.85245 | 1.422267 |
| 1.85993 | 1.42225 |
| 1.86745 | 1.422233 |
| 1.875 | 1.422217 |
| 1.88258 | 1.422201 |
| 1.89019 | 1.422185 |
| 1.89783 | 1.422169 |
| 1.9055 | 1.422153 |
| 1.9132 | 1.422137 |
| 1.92093 | 1.422122 |
| 1.9287 | 1.422107 |
| 1.93649 | 1.422091 |
| 1.94432 | 1.422076 |
| 1.95218 | 1.422061 |
| 1.96007 | 1.422046 |
| 1.96799 | 1.422031 |
| 1.97594 | 1.422017 |
| 1.98393 | 1.422002 |
| 1.99195 | 1.421988 |
| 2 | 1.421973 |
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.