Optical constants
Refractive index of C4H8O (Tetrahydrofuran, THF)
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
- 1.40668
- Extinction coefficient k
- 0
- Permittivity ε1
- 1.97875
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- 66.803
- Chromatic dispersion dn/dλ
- -0.0313215 µm⁻¹
- Group index ng
- 1.42509
- Group velocity dispersion
- 57.7785 fs²/mm
- Dispersion parameter D
- -315.212 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
# C4H8O (Tetrahydrofuran, THF): Chang et al. 2024: n 0.4–2.0 µm
c4h8o = ls.fetch_refractiveindex("organic", "tetrahydrofuran", "Chang", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(c4h8o.range_nm) # (400, 2000) nm
eps = c4h8o.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_eae370a4d792/lightsmith"
c4h8o = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(c4h8o.source) # citation and provenance travel with the data
Any dataset here, as the library's Tabulated material (tetrahydrofuran/chang-2024).
# ... load c4h8o as above, then:
sim = ls.Simulation(
particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=c4h8o)],
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_eae370a4d792/lightsmith?model=drude_lorentz"
c4h8o_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 | 0.9544 |
| C3 | 0.0935 |
| C4 | 0.0147 |
| C5 | 3.45 |
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 | 1.417519 |
| 0.401617 | 1.417353 |
| 0.40324 | 1.417189 |
| 0.40487 | 1.417026 |
| 0.406506 | 1.416865 |
| 0.408149 | 1.416704 |
| 0.409799 | 1.416546 |
| 0.411455 | 1.416388 |
| 0.413118 | 1.416232 |
| 0.414788 | 1.416078 |
| 0.416465 | 1.415924 |
| 0.418148 | 1.415772 |
| 0.419838 | 1.415622 |
| 0.421535 | 1.415473 |
| 0.423239 | 1.415325 |
| 0.424949 | 1.415178 |
| 0.426667 | 1.415032 |
| 0.428391 | 1.414888 |
| 0.430123 | 1.414745 |
| 0.431861 | 1.414603 |
| 0.433607 | 1.414463 |
| 0.435359 | 1.414324 |
| 0.437119 | 1.414186 |
| 0.438886 | 1.414049 |
| 0.44066 | 1.413913 |
| 0.442441 | 1.413778 |
| 0.444229 | 1.413645 |
| 0.446024 | 1.413513 |
| 0.447827 | 1.413382 |
| 0.449637 | 1.413252 |
| 0.451455 | 1.413123 |
| 0.453279 | 1.412995 |
| 0.455111 | 1.412869 |
| 0.456951 | 1.412743 |
| 0.458798 | 1.412618 |
| 0.460652 | 1.412495 |
| 0.462514 | 1.412373 |
| 0.464383 | 1.412251 |
| 0.46626 | 1.412131 |
| 0.468145 | 1.412012 |
| 0.470037 | 1.411893 |
| 0.471937 | 1.411776 |
| 0.473844 | 1.41166 |
| 0.47576 | 1.411545 |
| 0.477683 | 1.41143 |
| 0.479613 | 1.411317 |
| 0.481552 | 1.411204 |
| 0.483498 | 1.411093 |
| 0.485452 | 1.410983 |
| 0.487414 | 1.410873 |
| 0.489385 | 1.410764 |
| 0.491363 | 1.410657 |
| 0.493349 | 1.41055 |
| 0.495343 | 1.410444 |
| 0.497345 | 1.410339 |
| 0.499355 | 1.410235 |
| 0.501373 | 1.410131 |
| 0.5034 | 1.410029 |
| 0.505434 | 1.409927 |
| 0.507477 | 1.409827 |
| 0.509528 | 1.409727 |
| 0.511588 | 1.409628 |
| 0.513655 | 1.40953 |
| 0.515732 | 1.409432 |
| 0.517816 | 1.409336 |
| 0.519909 | 1.40924 |
| 0.52201 | 1.409145 |
| 0.52412 | 1.409051 |
| 0.526239 | 1.408957 |
| 0.528366 | 1.408865 |
| 0.530501 | 1.408773 |
| 0.532645 | 1.408682 |
| 0.534798 | 1.408592 |
| 0.53696 | 1.408502 |
| 0.53913 | 1.408413 |
| 0.541309 | 1.408325 |
| 0.543497 | 1.408238 |
| 0.545694 | 1.408151 |
| 0.547899 | 1.408065 |
| 0.550114 | 1.40798 |
| 0.552337 | 1.407895 |
| 0.55457 | 1.407812 |
| 0.556811 | 1.407728 |
| 0.559062 | 1.407646 |
| 0.561321 | 1.407564 |
| 0.56359 | 1.407483 |
| 0.565868 | 1.407403 |
| 0.568155 | 1.407323 |
| 0.570452 | 1.407244 |
| 0.572757 | 1.407165 |
| 0.575072 | 1.407087 |
| 0.577397 | 1.40701 |
| 0.57973 | 1.406933 |
| 0.582073 | 1.406857 |
| 0.584426 | 1.406782 |
| 0.586788 | 1.406707 |
| 0.58916 | 1.406633 |
| 0.591541 | 1.40656 |
| 0.593932 | 1.406487 |
| 0.596333 | 1.406414 |
| 0.598743 | 1.406343 |
| 0.601163 | 1.406271 |
| 0.603593 | 1.406201 |
| 0.606032 | 1.406131 |
| 0.608482 | 1.406061 |
| 0.610941 | 1.405992 |
| 0.613411 | 1.405924 |
| 0.61589 | 1.405856 |
| 0.618379 | 1.405789 |
| 0.620879 | 1.405722 |
| 0.623388 | 1.405656 |
| 0.625908 | 1.40559 |
| 0.628438 | 1.405525 |
| 0.630978 | 1.40546 |
| 0.633528 | 1.405396 |
| 0.636088 | 1.405333 |
| 0.638659 | 1.405269 |
| 0.641241 | 1.405207 |
| 0.643833 | 1.405145 |
| 0.646435 | 1.405083 |
| 0.649048 | 1.405022 |
| 0.651671 | 1.404961 |
| 0.654305 | 1.404901 |
| 0.656949 | 1.404841 |
| 0.659605 | 1.404782 |
| 0.662271 | 1.404723 |
| 0.664948 | 1.404665 |
| 0.667635 | 1.404607 |
| 0.670334 | 1.40455 |
| 0.673043 | 1.404493 |
| 0.675763 | 1.404436 |
| 0.678495 | 1.40438 |
| 0.681237 | 1.404325 |
| 0.68399 | 1.404269 |
| 0.686755 | 1.404215 |
| 0.689531 | 1.40416 |
| 0.692318 | 1.404106 |
| 0.695116 | 1.404053 |
| 0.697925 | 1.404 |
| 0.700746 | 1.403947 |
| 0.703579 | 1.403895 |
| 0.706422 | 1.403843 |
| 0.709278 | 1.403791 |
| 0.712144 | 1.40374 |
| 0.715023 | 1.403689 |
| 0.717913 | 1.403639 |
| 0.720814 | 1.403589 |
| 0.723728 | 1.40354 |
| 0.726653 | 1.40349 |
| 0.72959 | 1.403442 |
| 0.732539 | 1.403393 |
| 0.7355 | 1.403345 |
| 0.738472 | 1.403297 |
| 0.741457 | 1.40325 |
| 0.744454 | 1.403203 |
| 0.747463 | 1.403156 |
| 0.750484 | 1.40311 |
| 0.753517 | 1.403064 |
| 0.756563 | 1.403018 |
| 0.759621 | 1.402973 |
| 0.762691 | 1.402928 |
| 0.765774 | 1.402883 |
| 0.768869 | 1.402839 |
| 0.771977 | 1.402795 |
| 0.775097 | 1.402751 |
| 0.77823 | 1.402708 |
| 0.781375 | 1.402665 |
| 0.784533 | 1.402622 |
| 0.787704 | 1.40258 |
| 0.790888 | 1.402538 |
| 0.794085 | 1.402496 |
| 0.797294 | 1.402455 |
| 0.800517 | 1.402414 |
| 0.803752 | 1.402373 |
| 0.807001 | 1.402332 |
| 0.810263 | 1.402292 |
| 0.813538 | 1.402252 |
| 0.816826 | 1.402212 |
| 0.820127 | 1.402173 |
| 0.823442 | 1.402133 |
| 0.82677 | 1.402094 |
| 0.830112 | 1.402056 |
| 0.833467 | 1.402017 |
| 0.836836 | 1.401979 |
| 0.840218 | 1.401942 |
| 0.843614 | 1.401904 |
| 0.847024 | 1.401867 |
| 0.850447 | 1.40183 |
| 0.853885 | 1.401793 |
| 0.857336 | 1.401756 |
| 0.860801 | 1.40172 |
| 0.86428 | 1.401684 |
| 0.867774 | 1.401648 |
| 0.871281 | 1.401613 |
| 0.874803 | 1.401577 |
| 0.878338 | 1.401542 |
| 0.881888 | 1.401507 |
| 0.885453 | 1.401473 |
| 0.889032 | 1.401438 |
| 0.892625 | 1.401404 |
| 0.896233 | 1.40137 |
| 0.899855 | 1.401336 |
| 0.903492 | 1.401303 |
| 0.907144 | 1.401269 |
| 0.910811 | 1.401236 |
| 0.914492 | 1.401204 |
| 0.918188 | 1.401171 |
| 0.921899 | 1.401138 |
| 0.925626 | 1.401106 |
| 0.929367 | 1.401074 |
| 0.933123 | 1.401042 |
| 0.936895 | 1.401011 |
| 0.940681 | 1.400979 |
| 0.944483 | 1.400948 |
| 0.948301 | 1.400917 |
| 0.952134 | 1.400886 |
| 0.955982 | 1.400855 |
| 0.959846 | 1.400825 |
| 0.963726 | 1.400794 |
| 0.967621 | 1.400764 |
| 0.971532 | 1.400734 |
| 0.975458 | 1.400704 |
| 0.979401 | 1.400675 |
| 0.98336 | 1.400645 |
| 0.987334 | 1.400616 |
| 0.991325 | 1.400587 |
| 0.995332 | 1.400558 |
| 0.999355 | 1.400529 |
| 1.00339 | 1.4005 |
| 1.00745 | 1.400472 |
| 1.01152 | 1.400444 |
| 1.01561 | 1.400415 |
| 1.01971 | 1.400387 |
| 1.02384 | 1.40036 |
| 1.02797 | 1.400332 |
| 1.03213 | 1.400304 |
| 1.0363 | 1.400277 |
| 1.04049 | 1.40025 |
| 1.04469 | 1.400222 |
| 1.04892 | 1.400195 |
| 1.05316 | 1.400168 |
| 1.05741 | 1.400142 |
| 1.06169 | 1.400115 |
| 1.06598 | 1.400089 |
| 1.07029 | 1.400062 |
| 1.07461 | 1.400036 |
| 1.07896 | 1.40001 |
| 1.08332 | 1.399984 |
| 1.0877 | 1.399958 |
| 1.09209 | 1.399932 |
| 1.09651 | 1.399907 |
| 1.10094 | 1.399881 |
| 1.10539 | 1.399856 |
| 1.10986 | 1.39983 |
| 1.11434 | 1.399805 |
| 1.11885 | 1.39978 |
| 1.12337 | 1.399755 |
| 1.12791 | 1.39973 |
| 1.13247 | 1.399705 |
| 1.13704 | 1.399681 |
| 1.14164 | 1.399656 |
| 1.14625 | 1.399632 |
| 1.15089 | 1.399607 |
| 1.15554 | 1.399583 |
| 1.16021 | 1.399559 |
| 1.1649 | 1.399535 |
| 1.16961 | 1.39951 |
| 1.17433 | 1.399486 |
| 1.17908 | 1.399463 |
| 1.18385 | 1.399439 |
| 1.18863 | 1.399415 |
| 1.19344 | 1.399391 |
| 1.19826 | 1.399368 |
| 1.2031 | 1.399344 |
| 1.20797 | 1.399321 |
| 1.21285 | 1.399297 |
| 1.21775 | 1.399274 |
| 1.22267 | 1.399251 |
| 1.22761 | 1.399228 |
| 1.23258 | 1.399204 |
| 1.23756 | 1.399181 |
| 1.24256 | 1.399158 |
| 1.24758 | 1.399135 |
| 1.25262 | 1.399112 |
| 1.25769 | 1.399089 |
| 1.26277 | 1.399067 |
| 1.26787 | 1.399044 |
| 1.273 | 1.399021 |
| 1.27814 | 1.398998 |
| 1.28331 | 1.398976 |
| 1.2885 | 1.398953 |
| 1.2937 | 1.39893 |
| 1.29893 | 1.398908 |
| 1.30418 | 1.398885 |
| 1.30945 | 1.398863 |
| 1.31475 | 1.39884 |
| 1.32006 | 1.398818 |
| 1.3254 | 1.398795 |
| 1.33075 | 1.398773 |
| 1.33613 | 1.39875 |
| 1.34153 | 1.398728 |
| 1.34696 | 1.398706 |
| 1.3524 | 1.398683 |
| 1.35787 | 1.398661 |
| 1.36335 | 1.398638 |
| 1.36886 | 1.398616 |
| 1.3744 | 1.398594 |
| 1.37995 | 1.398571 |
| 1.38553 | 1.398549 |
| 1.39113 | 1.398527 |
| 1.39675 | 1.398504 |
| 1.4024 | 1.398482 |
| 1.40807 | 1.398459 |
| 1.41376 | 1.398437 |
| 1.41947 | 1.398415 |
| 1.42521 | 1.398392 |
| 1.43097 | 1.39837 |
| 1.43675 | 1.398347 |
| 1.44256 | 1.398325 |
| 1.44839 | 1.398302 |
| 1.45424 | 1.398279 |
| 1.46012 | 1.398257 |
| 1.46602 | 1.398234 |
| 1.47195 | 1.398211 |
| 1.4779 | 1.398189 |
| 1.48387 | 1.398166 |
| 1.48987 | 1.398143 |
| 1.49589 | 1.39812 |
| 1.50194 | 1.398097 |
| 1.50801 | 1.398074 |
| 1.5141 | 1.398051 |
| 1.52022 | 1.398028 |
| 1.52637 | 1.398005 |
| 1.53254 | 1.397981 |
| 1.53873 | 1.397958 |
| 1.54495 | 1.397935 |
| 1.55119 | 1.397911 |
| 1.55746 | 1.397888 |
| 1.56376 | 1.397864 |
| 1.57008 | 1.39784 |
| 1.57643 | 1.397816 |
| 1.5828 | 1.397792 |
| 1.58919 | 1.397768 |
| 1.59562 | 1.397744 |
| 1.60207 | 1.39772 |
| 1.60854 | 1.397695 |
| 1.61504 | 1.397671 |
| 1.62157 | 1.397646 |
| 1.62813 | 1.397622 |
| 1.63471 | 1.397597 |
| 1.64131 | 1.397572 |
| 1.64795 | 1.397547 |
| 1.65461 | 1.397521 |
| 1.6613 | 1.397496 |
| 1.66801 | 1.397471 |
| 1.67475 | 1.397445 |
| 1.68152 | 1.397419 |
| 1.68832 | 1.397393 |
| 1.69514 | 1.397367 |
| 1.70199 | 1.397341 |
| 1.70887 | 1.397314 |
| 1.71578 | 1.397287 |
| 1.72271 | 1.397261 |
| 1.72968 | 1.397234 |
| 1.73667 | 1.397206 |
| 1.74369 | 1.397179 |
| 1.75074 | 1.397151 |
| 1.75781 | 1.397123 |
| 1.76492 | 1.397095 |
| 1.77205 | 1.397067 |
| 1.77921 | 1.397039 |
| 1.7864 | 1.39701 |
| 1.79362 | 1.396981 |
| 1.80087 | 1.396952 |
| 1.80815 | 1.396922 |
| 1.81546 | 1.396893 |
| 1.8228 | 1.396863 |
| 1.83017 | 1.396832 |
| 1.83756 | 1.396802 |
| 1.84499 | 1.396771 |
| 1.85245 | 1.39674 |
| 1.85993 | 1.396709 |
| 1.86745 | 1.396677 |
| 1.875 | 1.396645 |
| 1.88258 | 1.396613 |
| 1.89019 | 1.39658 |
| 1.89783 | 1.396547 |
| 1.9055 | 1.396514 |
| 1.9132 | 1.39648 |
| 1.92093 | 1.396446 |
| 1.9287 | 1.396412 |
| 1.93649 | 1.396377 |
| 1.94432 | 1.396342 |
| 1.95218 | 1.396306 |
| 1.96007 | 1.39627 |
| 1.96799 | 1.396234 |
| 1.97594 | 1.396197 |
| 1.98393 | 1.39616 |
| 1.99195 | 1.396122 |
| 2 | 1.396084 |
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.