Optical constants
Refractive index of (CF3CO)2O (Trifluoroacetic anhydride, TFAA)
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
- 1.26945
- Extinction coefficient k
- 0
- Permittivity ε1
- 1.6115
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- 56.833
- Chromatic dispersion dn/dλ
- -0.0243005 µm⁻¹
- Group index ng
- 1.28373
- Group velocity dispersion
- 46.1683 fs²/mm
- Dispersion parameter D
- -251.873 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
# (CF3CO)2O (Trifluoroacetic anhydride, TFAA): Chang et al. 2024: n 0.4–2.0 µm
mat = ls.fetch_refractiveindex("organic", "trifluoroacetic_anhydride", "Chang", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(mat.range_nm) # (400, 2000) nm
eps = mat.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_3ed106b3e737/lightsmith"
mat = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(mat.source) # citation and provenance travel with the data
Any dataset here, as the library's Tabulated material (trifluoroacetic-anhydride/chang-2024).
# ... load mat as above, then:
sim = ls.Simulation(
particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=mat)],
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_3ed106b3e737/lightsmith?model=drude_lorentz"
mat_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 | 0.5939 |
| C3 | 0.0997 |
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 | 1.277983 |
| 0.401617 | 1.277851 |
| 0.40324 | 1.277721 |
| 0.40487 | 1.277591 |
| 0.406506 | 1.277463 |
| 0.408149 | 1.277336 |
| 0.409799 | 1.27721 |
| 0.411455 | 1.277085 |
| 0.413118 | 1.276961 |
| 0.414788 | 1.276838 |
| 0.416465 | 1.276717 |
| 0.418148 | 1.276596 |
| 0.419838 | 1.276477 |
| 0.421535 | 1.276359 |
| 0.423239 | 1.276241 |
| 0.424949 | 1.276125 |
| 0.426667 | 1.27601 |
| 0.428391 | 1.275896 |
| 0.430123 | 1.275783 |
| 0.431861 | 1.27567 |
| 0.433607 | 1.275559 |
| 0.435359 | 1.275449 |
| 0.437119 | 1.27534 |
| 0.438886 | 1.275232 |
| 0.44066 | 1.275124 |
| 0.442441 | 1.275018 |
| 0.444229 | 1.274912 |
| 0.446024 | 1.274808 |
| 0.447827 | 1.274704 |
| 0.449637 | 1.274602 |
| 0.451455 | 1.2745 |
| 0.453279 | 1.274399 |
| 0.455111 | 1.274299 |
| 0.456951 | 1.2742 |
| 0.458798 | 1.274102 |
| 0.460652 | 1.274004 |
| 0.462514 | 1.273908 |
| 0.464383 | 1.273812 |
| 0.46626 | 1.273717 |
| 0.468145 | 1.273623 |
| 0.470037 | 1.27353 |
| 0.471937 | 1.273438 |
| 0.473844 | 1.273346 |
| 0.47576 | 1.273255 |
| 0.477683 | 1.273165 |
| 0.479613 | 1.273076 |
| 0.481552 | 1.272988 |
| 0.483498 | 1.2729 |
| 0.485452 | 1.272813 |
| 0.487414 | 1.272727 |
| 0.489385 | 1.272642 |
| 0.491363 | 1.272557 |
| 0.493349 | 1.272473 |
| 0.495343 | 1.27239 |
| 0.497345 | 1.272307 |
| 0.499355 | 1.272225 |
| 0.501373 | 1.272144 |
| 0.5034 | 1.272064 |
| 0.505434 | 1.271984 |
| 0.507477 | 1.271905 |
| 0.509528 | 1.271827 |
| 0.511588 | 1.271749 |
| 0.513655 | 1.271672 |
| 0.515732 | 1.271596 |
| 0.517816 | 1.27152 |
| 0.519909 | 1.271445 |
| 0.52201 | 1.271371 |
| 0.52412 | 1.271297 |
| 0.526239 | 1.271224 |
| 0.528366 | 1.271152 |
| 0.530501 | 1.27108 |
| 0.532645 | 1.271009 |
| 0.534798 | 1.270938 |
| 0.53696 | 1.270868 |
| 0.53913 | 1.270799 |
| 0.541309 | 1.27073 |
| 0.543497 | 1.270662 |
| 0.545694 | 1.270594 |
| 0.547899 | 1.270527 |
| 0.550114 | 1.27046 |
| 0.552337 | 1.270395 |
| 0.55457 | 1.270329 |
| 0.556811 | 1.270264 |
| 0.559062 | 1.2702 |
| 0.561321 | 1.270136 |
| 0.56359 | 1.270073 |
| 0.565868 | 1.270011 |
| 0.568155 | 1.269948 |
| 0.570452 | 1.269887 |
| 0.572757 | 1.269826 |
| 0.575072 | 1.269765 |
| 0.577397 | 1.269705 |
| 0.57973 | 1.269646 |
| 0.582073 | 1.269587 |
| 0.584426 | 1.269528 |
| 0.586788 | 1.26947 |
| 0.58916 | 1.269413 |
| 0.591541 | 1.269356 |
| 0.593932 | 1.269299 |
| 0.596333 | 1.269243 |
| 0.598743 | 1.269188 |
| 0.601163 | 1.269132 |
| 0.603593 | 1.269078 |
| 0.606032 | 1.269024 |
| 0.608482 | 1.26897 |
| 0.610941 | 1.268916 |
| 0.613411 | 1.268864 |
| 0.61589 | 1.268811 |
| 0.618379 | 1.268759 |
| 0.620879 | 1.268708 |
| 0.623388 | 1.268657 |
| 0.625908 | 1.268606 |
| 0.628438 | 1.268556 |
| 0.630978 | 1.268506 |
| 0.633528 | 1.268457 |
| 0.636088 | 1.268408 |
| 0.638659 | 1.268359 |
| 0.641241 | 1.268311 |
| 0.643833 | 1.268263 |
| 0.646435 | 1.268216 |
| 0.649048 | 1.268169 |
| 0.651671 | 1.268122 |
| 0.654305 | 1.268076 |
| 0.656949 | 1.26803 |
| 0.659605 | 1.267985 |
| 0.662271 | 1.26794 |
| 0.664948 | 1.267895 |
| 0.667635 | 1.267851 |
| 0.670334 | 1.267807 |
| 0.673043 | 1.267764 |
| 0.675763 | 1.26772 |
| 0.678495 | 1.267678 |
| 0.681237 | 1.267635 |
| 0.68399 | 1.267593 |
| 0.686755 | 1.267551 |
| 0.689531 | 1.26751 |
| 0.692318 | 1.267469 |
| 0.695116 | 1.267428 |
| 0.697925 | 1.267388 |
| 0.700746 | 1.267348 |
| 0.703579 | 1.267308 |
| 0.706422 | 1.267269 |
| 0.709278 | 1.26723 |
| 0.712144 | 1.267191 |
| 0.715023 | 1.267153 |
| 0.717913 | 1.267115 |
| 0.720814 | 1.267077 |
| 0.723728 | 1.267039 |
| 0.726653 | 1.267002 |
| 0.72959 | 1.266965 |
| 0.732539 | 1.266929 |
| 0.7355 | 1.266893 |
| 0.738472 | 1.266857 |
| 0.741457 | 1.266821 |
| 0.744454 | 1.266786 |
| 0.747463 | 1.266751 |
| 0.750484 | 1.266716 |
| 0.753517 | 1.266682 |
| 0.756563 | 1.266648 |
| 0.759621 | 1.266614 |
| 0.762691 | 1.26658 |
| 0.765774 | 1.266547 |
| 0.768869 | 1.266514 |
| 0.771977 | 1.266481 |
| 0.775097 | 1.266448 |
| 0.77823 | 1.266416 |
| 0.781375 | 1.266384 |
| 0.784533 | 1.266353 |
| 0.787704 | 1.266321 |
| 0.790888 | 1.26629 |
| 0.794085 | 1.266259 |
| 0.797294 | 1.266228 |
| 0.800517 | 1.266198 |
| 0.803752 | 1.266168 |
| 0.807001 | 1.266138 |
| 0.810263 | 1.266108 |
| 0.813538 | 1.266079 |
| 0.816826 | 1.26605 |
| 0.820127 | 1.266021 |
| 0.823442 | 1.265992 |
| 0.82677 | 1.265964 |
| 0.830112 | 1.265935 |
| 0.833467 | 1.265907 |
| 0.836836 | 1.26588 |
| 0.840218 | 1.265852 |
| 0.843614 | 1.265825 |
| 0.847024 | 1.265798 |
| 0.850447 | 1.265771 |
| 0.853885 | 1.265744 |
| 0.857336 | 1.265718 |
| 0.860801 | 1.265692 |
| 0.86428 | 1.265666 |
| 0.867774 | 1.26564 |
| 0.871281 | 1.265614 |
| 0.874803 | 1.265589 |
| 0.878338 | 1.265564 |
| 0.881888 | 1.265539 |
| 0.885453 | 1.265514 |
| 0.889032 | 1.26549 |
| 0.892625 | 1.265465 |
| 0.896233 | 1.265441 |
| 0.899855 | 1.265417 |
| 0.903492 | 1.265394 |
| 0.907144 | 1.26537 |
| 0.910811 | 1.265347 |
| 0.914492 | 1.265324 |
| 0.918188 | 1.265301 |
| 0.921899 | 1.265278 |
| 0.925626 | 1.265255 |
| 0.929367 | 1.265233 |
| 0.933123 | 1.265211 |
| 0.936895 | 1.265189 |
| 0.940681 | 1.265167 |
| 0.944483 | 1.265145 |
| 0.948301 | 1.265124 |
| 0.952134 | 1.265102 |
| 0.955982 | 1.265081 |
| 0.959846 | 1.26506 |
| 0.963726 | 1.26504 |
| 0.967621 | 1.265019 |
| 0.971532 | 1.264998 |
| 0.975458 | 1.264978 |
| 0.979401 | 1.264958 |
| 0.98336 | 1.264938 |
| 0.987334 | 1.264918 |
| 0.991325 | 1.264899 |
| 0.995332 | 1.264879 |
| 0.999355 | 1.26486 |
| 1.00339 | 1.264841 |
| 1.00745 | 1.264822 |
| 1.01152 | 1.264803 |
| 1.01561 | 1.264784 |
| 1.01971 | 1.264766 |
| 1.02384 | 1.264747 |
| 1.02797 | 1.264729 |
| 1.03213 | 1.264711 |
| 1.0363 | 1.264693 |
| 1.04049 | 1.264675 |
| 1.04469 | 1.264658 |
| 1.04892 | 1.26464 |
| 1.05316 | 1.264623 |
| 1.05741 | 1.264606 |
| 1.06169 | 1.264588 |
| 1.06598 | 1.264572 |
| 1.07029 | 1.264555 |
| 1.07461 | 1.264538 |
| 1.07896 | 1.264522 |
| 1.08332 | 1.264505 |
| 1.0877 | 1.264489 |
| 1.09209 | 1.264473 |
| 1.09651 | 1.264457 |
| 1.10094 | 1.264441 |
| 1.10539 | 1.264425 |
| 1.10986 | 1.26441 |
| 1.11434 | 1.264394 |
| 1.11885 | 1.264379 |
| 1.12337 | 1.264364 |
| 1.12791 | 1.264348 |
| 1.13247 | 1.264333 |
| 1.13704 | 1.264319 |
| 1.14164 | 1.264304 |
| 1.14625 | 1.264289 |
| 1.15089 | 1.264275 |
| 1.15554 | 1.26426 |
| 1.16021 | 1.264246 |
| 1.1649 | 1.264232 |
| 1.16961 | 1.264218 |
| 1.17433 | 1.264204 |
| 1.17908 | 1.26419 |
| 1.18385 | 1.264177 |
| 1.18863 | 1.264163 |
| 1.19344 | 1.264149 |
| 1.19826 | 1.264136 |
| 1.2031 | 1.264123 |
| 1.20797 | 1.26411 |
| 1.21285 | 1.264097 |
| 1.21775 | 1.264084 |
| 1.22267 | 1.264071 |
| 1.22761 | 1.264058 |
| 1.23258 | 1.264046 |
| 1.23756 | 1.264033 |
| 1.24256 | 1.264021 |
| 1.24758 | 1.264008 |
| 1.25262 | 1.263996 |
| 1.25769 | 1.263984 |
| 1.26277 | 1.263972 |
| 1.26787 | 1.26396 |
| 1.273 | 1.263948 |
| 1.27814 | 1.263937 |
| 1.28331 | 1.263925 |
| 1.2885 | 1.263913 |
| 1.2937 | 1.263902 |
| 1.29893 | 1.263891 |
| 1.30418 | 1.263879 |
| 1.30945 | 1.263868 |
| 1.31475 | 1.263857 |
| 1.32006 | 1.263846 |
| 1.3254 | 1.263835 |
| 1.33075 | 1.263825 |
| 1.33613 | 1.263814 |
| 1.34153 | 1.263803 |
| 1.34696 | 1.263793 |
| 1.3524 | 1.263782 |
| 1.35787 | 1.263772 |
| 1.36335 | 1.263761 |
| 1.36886 | 1.263751 |
| 1.3744 | 1.263741 |
| 1.37995 | 1.263731 |
| 1.38553 | 1.263721 |
| 1.39113 | 1.263711 |
| 1.39675 | 1.263701 |
| 1.4024 | 1.263692 |
| 1.40807 | 1.263682 |
| 1.41376 | 1.263673 |
| 1.41947 | 1.263663 |
| 1.42521 | 1.263654 |
| 1.43097 | 1.263644 |
| 1.43675 | 1.263635 |
| 1.44256 | 1.263626 |
| 1.44839 | 1.263617 |
| 1.45424 | 1.263608 |
| 1.46012 | 1.263599 |
| 1.46602 | 1.26359 |
| 1.47195 | 1.263581 |
| 1.4779 | 1.263572 |
| 1.48387 | 1.263564 |
| 1.48987 | 1.263555 |
| 1.49589 | 1.263547 |
| 1.50194 | 1.263538 |
| 1.50801 | 1.26353 |
| 1.5141 | 1.263521 |
| 1.52022 | 1.263513 |
| 1.52637 | 1.263505 |
| 1.53254 | 1.263497 |
| 1.53873 | 1.263489 |
| 1.54495 | 1.263481 |
| 1.55119 | 1.263473 |
| 1.55746 | 1.263465 |
| 1.56376 | 1.263457 |
| 1.57008 | 1.263449 |
| 1.57643 | 1.263442 |
| 1.5828 | 1.263434 |
| 1.58919 | 1.263427 |
| 1.59562 | 1.263419 |
| 1.60207 | 1.263412 |
| 1.60854 | 1.263404 |
| 1.61504 | 1.263397 |
| 1.62157 | 1.26339 |
| 1.62813 | 1.263383 |
| 1.63471 | 1.263375 |
| 1.64131 | 1.263368 |
| 1.64795 | 1.263361 |
| 1.65461 | 1.263354 |
| 1.6613 | 1.263347 |
| 1.66801 | 1.263341 |
| 1.67475 | 1.263334 |
| 1.68152 | 1.263327 |
| 1.68832 | 1.26332 |
| 1.69514 | 1.263314 |
| 1.70199 | 1.263307 |
| 1.70887 | 1.263301 |
| 1.71578 | 1.263294 |
| 1.72271 | 1.263288 |
| 1.72968 | 1.263281 |
| 1.73667 | 1.263275 |
| 1.74369 | 1.263269 |
| 1.75074 | 1.263263 |
| 1.75781 | 1.263256 |
| 1.76492 | 1.26325 |
| 1.77205 | 1.263244 |
| 1.77921 | 1.263238 |
| 1.7864 | 1.263232 |
| 1.79362 | 1.263226 |
| 1.80087 | 1.26322 |
| 1.80815 | 1.263215 |
| 1.81546 | 1.263209 |
| 1.8228 | 1.263203 |
| 1.83017 | 1.263197 |
| 1.83756 | 1.263192 |
| 1.84499 | 1.263186 |
| 1.85245 | 1.263181 |
| 1.85993 | 1.263175 |
| 1.86745 | 1.26317 |
| 1.875 | 1.263164 |
| 1.88258 | 1.263159 |
| 1.89019 | 1.263154 |
| 1.89783 | 1.263148 |
| 1.9055 | 1.263143 |
| 1.9132 | 1.263138 |
| 1.92093 | 1.263133 |
| 1.9287 | 1.263128 |
| 1.93649 | 1.263122 |
| 1.94432 | 1.263117 |
| 1.95218 | 1.263112 |
| 1.96007 | 1.263108 |
| 1.96799 | 1.263103 |
| 1.97594 | 1.263098 |
| 1.98393 | 1.263093 |
| 1.99195 | 1.263088 |
| 2 | 1.263083 |
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.