Optical constants
Refractive index of C4H8O (Tetrahydrofuran, THF)
Li et al. 2022: n 0.2–1.7 µm
- Data
- formula 5
- Range
- 0.2–1.7 µm
- Licence
- CC0-1.0
Plot
Click the plot to set the calculator wavelength.
At one wavelength
- Refractive index n
- 1.40769
- Extinction coefficient k
- 0
- Permittivity ε1
- 1.9816
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- 40.411
- Chromatic dispersion dn/dλ
- -0.0522459 µm⁻¹
- Group index ng
- 1.43839
- Group velocity dispersion
- 93.7859 fs²/mm
- Dispersion parameter D
- -511.652 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): Li et al. 2022: n 0.2–1.7 µm
c4h8o = ls.fetch_refractiveindex("organic", "tetrahydrofuran", "Li", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(c4h8o.range_nm) # (200, 1700) 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_420474e93721/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/li-2022).
# ... 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"]).
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
Cauchy (formula 5), λ in µmValid from 0.2 to 1.7 µm.
Coefficients as stored
| Ci | Value |
|---|---|
| C1 | 1.392 |
| C2 | 0.005572 |
| C3 | -2.0 |
| C4 | -6.463e-05 |
| C5 | -4.0 |
| C6 | 4.064e-06 |
| C7 | -6.0 |
Comments and conditions
References
- doi:10.1016/j.infrared.2022.104313 Ellipsometry-transmission measurement of the complex refractive indices for a series of organic solvents in the 200–1700 nm spectral range, Infrared Physics & Technology (2022)
Cite
Xiaoning Li, Chengchao Wang, Lanxin Ma and Linhua Liu. Ellipsometry-transmission measurement of the complex refractive indices for a series of organic solvents in the 200–1700 nm spectral range. Infrared Physics & Technology, 125, 104313 (2022), doi:10.1016/j.infrared.2022.104313; 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 |
|---|---|
| 0.2 | 1.554406 |
| 0.201076 | 1.551766 |
| 0.202157 | 1.549188 |
| 0.203244 | 1.546669 |
| 0.204337 | 1.544208 |
| 0.205436 | 1.541802 |
| 0.206541 | 1.539452 |
| 0.207652 | 1.537154 |
| 0.208768 | 1.534908 |
| 0.209891 | 1.532711 |
| 0.21102 | 1.530563 |
| 0.212155 | 1.528462 |
| 0.213296 | 1.526407 |
| 0.214443 | 1.524397 |
| 0.215596 | 1.522429 |
| 0.216756 | 1.520503 |
| 0.217921 | 1.518618 |
| 0.219093 | 1.516773 |
| 0.220272 | 1.514966 |
| 0.221456 | 1.513197 |
| 0.222647 | 1.511464 |
| 0.223845 | 1.509766 |
| 0.225049 | 1.508103 |
| 0.226259 | 1.506473 |
| 0.227476 | 1.504876 |
| 0.228699 | 1.503311 |
| 0.229929 | 1.501776 |
| 0.231165 | 1.500271 |
| 0.232409 | 1.498796 |
| 0.233659 | 1.497348 |
| 0.234915 | 1.495929 |
| 0.236179 | 1.494536 |
| 0.237449 | 1.49317 |
| 0.238726 | 1.491829 |
| 0.24001 | 1.490512 |
| 0.2413 | 1.48922 |
| 0.242598 | 1.487952 |
| 0.243903 | 1.486707 |
| 0.245214 | 1.485483 |
| 0.246533 | 1.484282 |
| 0.247859 | 1.483102 |
| 0.249192 | 1.481943 |
| 0.250532 | 1.480804 |
| 0.25188 | 1.479684 |
| 0.253234 | 1.478584 |
| 0.254596 | 1.477502 |
| 0.255965 | 1.476439 |
| 0.257342 | 1.475394 |
| 0.258726 | 1.474365 |
| 0.260117 | 1.473354 |
| 0.261516 | 1.47236 |
| 0.262923 | 1.471382 |
| 0.264337 | 1.470419 |
| 0.265758 | 1.469472 |
| 0.267187 | 1.46854 |
| 0.268624 | 1.467622 |
| 0.270069 | 1.466719 |
| 0.271521 | 1.46583 |
| 0.272982 | 1.464955 |
| 0.27445 | 1.464093 |
| 0.275926 | 1.463245 |
| 0.27741 | 1.462409 |
| 0.278902 | 1.461586 |
| 0.280402 | 1.460775 |
| 0.28191 | 1.459976 |
| 0.283426 | 1.459188 |
| 0.28495 | 1.458412 |
| 0.286482 | 1.457648 |
| 0.288023 | 1.456894 |
| 0.289572 | 1.456152 |
| 0.291129 | 1.455419 |
| 0.292695 | 1.454698 |
| 0.294269 | 1.453986 |
| 0.295852 | 1.453284 |
| 0.297443 | 1.452592 |
| 0.299042 | 1.451909 |
| 0.300651 | 1.451236 |
| 0.302268 | 1.450572 |
| 0.303893 | 1.449917 |
| 0.305527 | 1.44927 |
| 0.307171 | 1.448633 |
| 0.308823 | 1.448004 |
| 0.310483 | 1.447383 |
| 0.312153 | 1.44677 |
| 0.313832 | 1.446165 |
| 0.31552 | 1.445568 |
| 0.317217 | 1.444979 |
| 0.318923 | 1.444397 |
| 0.320638 | 1.443823 |
| 0.322362 | 1.443256 |
| 0.324096 | 1.442696 |
| 0.325839 | 1.442144 |
| 0.327591 | 1.441598 |
| 0.329353 | 1.441059 |
| 0.331124 | 1.440526 |
| 0.332905 | 1.440001 |
| 0.334695 | 1.439481 |
| 0.336495 | 1.438968 |
| 0.338305 | 1.438462 |
| 0.340124 | 1.437961 |
| 0.341954 | 1.437467 |
| 0.343793 | 1.436978 |
| 0.345641 | 1.436495 |
| 0.3475 | 1.436018 |
| 0.349369 | 1.435547 |
| 0.351248 | 1.435081 |
| 0.353137 | 1.434621 |
| 0.355036 | 1.434166 |
| 0.356946 | 1.433716 |
| 0.358865 | 1.433272 |
| 0.360795 | 1.432833 |
| 0.362736 | 1.432399 |
| 0.364686 | 1.43197 |
| 0.366648 | 1.431545 |
| 0.368619 | 1.431126 |
| 0.370602 | 1.430712 |
| 0.372595 | 1.430302 |
| 0.374599 | 1.429897 |
| 0.376613 | 1.429496 |
| 0.378639 | 1.4291 |
| 0.380675 | 1.428708 |
| 0.382722 | 1.428321 |
| 0.384781 | 1.427938 |
| 0.38685 | 1.42756 |
| 0.38893 | 1.427185 |
| 0.391022 | 1.426815 |
| 0.393125 | 1.426449 |
| 0.395239 | 1.426087 |
| 0.397365 | 1.425728 |
| 0.399502 | 1.425374 |
| 0.40165 | 1.425024 |
| 0.40381 | 1.424678 |
| 0.405982 | 1.424335 |
| 0.408166 | 1.423996 |
| 0.410361 | 1.423661 |
| 0.412568 | 1.423329 |
| 0.414786 | 1.423001 |
| 0.417017 | 1.422676 |
| 0.41926 | 1.422355 |
| 0.421515 | 1.422038 |
| 0.423781 | 1.421724 |
| 0.42606 | 1.421413 |
| 0.428352 | 1.421106 |
| 0.430656 | 1.420802 |
| 0.432972 | 1.420501 |
| 0.4353 | 1.420203 |
| 0.437641 | 1.419909 |
| 0.439995 | 1.419617 |
| 0.442361 | 1.419329 |
| 0.44474 | 1.419044 |
| 0.447132 | 1.418762 |
| 0.449537 | 1.418483 |
| 0.451954 | 1.418206 |
| 0.454385 | 1.417933 |
| 0.456828 | 1.417663 |
| 0.459285 | 1.417395 |
| 0.461755 | 1.417131 |
| 0.464239 | 1.416869 |
| 0.466735 | 1.416609 |
| 0.469245 | 1.416353 |
| 0.471769 | 1.416099 |
| 0.474306 | 1.415848 |
| 0.476857 | 1.4156 |
| 0.479421 | 1.415354 |
| 0.482 | 1.41511 |
| 0.484592 | 1.41487 |
| 0.487198 | 1.414631 |
| 0.489818 | 1.414396 |
| 0.492452 | 1.414162 |
| 0.495101 | 1.413932 |
| 0.497763 | 1.413703 |
| 0.50044 | 1.413477 |
| 0.503132 | 1.413253 |
| 0.505838 | 1.413032 |
| 0.508558 | 1.412813 |
| 0.511293 | 1.412596 |
| 0.514043 | 1.412382 |
| 0.516807 | 1.412169 |
| 0.519587 | 1.411959 |
| 0.522381 | 1.411751 |
| 0.52519 | 1.411545 |
| 0.528015 | 1.411342 |
| 0.530854 | 1.41114 |
| 0.533709 | 1.410941 |
| 0.53658 | 1.410743 |
| 0.539465 | 1.410548 |
| 0.542367 | 1.410355 |
| 0.545283 | 1.410163 |
| 0.548216 | 1.409974 |
| 0.551164 | 1.409787 |
| 0.554128 | 1.409601 |
| 0.557109 | 1.409418 |
| 0.560105 | 1.409236 |
| 0.563117 | 1.409056 |
| 0.566145 | 1.408879 |
| 0.56919 | 1.408702 |
| 0.572251 | 1.408528 |
| 0.575329 | 1.408356 |
| 0.578423 | 1.408185 |
| 0.581534 | 1.408016 |
| 0.584661 | 1.407849 |
| 0.587805 | 1.407684 |
| 0.590967 | 1.40752 |
| 0.594145 | 1.407358 |
| 0.59734 | 1.407198 |
| 0.600553 | 1.407039 |
| 0.603782 | 1.406882 |
| 0.607029 | 1.406727 |
| 0.610294 | 1.406573 |
| 0.613576 | 1.406421 |
| 0.616876 | 1.40627 |
| 0.620194 | 1.406121 |
| 0.623529 | 1.405973 |
| 0.626882 | 1.405827 |
| 0.630254 | 1.405683 |
| 0.633643 | 1.40554 |
| 0.637051 | 1.405398 |
| 0.640477 | 1.405258 |
| 0.643921 | 1.405119 |
| 0.647384 | 1.404982 |
| 0.650866 | 1.404846 |
| 0.654366 | 1.404712 |
| 0.657885 | 1.404579 |
| 0.661424 | 1.404447 |
| 0.664981 | 1.404317 |
| 0.668557 | 1.404188 |
| 0.672152 | 1.404061 |
| 0.675767 | 1.403934 |
| 0.679402 | 1.403809 |
| 0.683055 | 1.403686 |
| 0.686729 | 1.403563 |
| 0.690422 | 1.403442 |
| 0.694135 | 1.403322 |
| 0.697868 | 1.403204 |
| 0.701621 | 1.403086 |
| 0.705395 | 1.40297 |
| 0.709188 | 1.402855 |
| 0.713002 | 1.402741 |
| 0.716837 | 1.402629 |
| 0.720692 | 1.402517 |
| 0.724568 | 1.402407 |
| 0.728464 | 1.402298 |
| 0.732382 | 1.40219 |
| 0.736321 | 1.402083 |
| 0.740281 | 1.401977 |
| 0.744262 | 1.401872 |
| 0.748265 | 1.401769 |
| 0.752289 | 1.401666 |
| 0.756335 | 1.401565 |
| 0.760402 | 1.401464 |
| 0.764492 | 1.401365 |
| 0.768603 | 1.401267 |
| 0.772736 | 1.401169 |
| 0.776892 | 1.401073 |
| 0.78107 | 1.400978 |
| 0.785271 | 1.400883 |
| 0.789494 | 1.40079 |
| 0.79374 | 1.400698 |
| 0.798009 | 1.400606 |
| 0.8023 | 1.400516 |
| 0.806615 | 1.400426 |
| 0.810953 | 1.400338 |
| 0.815314 | 1.40025 |
| 0.819699 | 1.400163 |
| 0.824108 | 1.400077 |
| 0.82854 | 1.399992 |
| 0.832995 | 1.399908 |
| 0.837475 | 1.399825 |
| 0.841979 | 1.399743 |
| 0.846507 | 1.399661 |
| 0.85106 | 1.39958 |
| 0.855637 | 1.399501 |
| 0.860238 | 1.399422 |
| 0.864865 | 1.399343 |
| 0.869516 | 1.399266 |
| 0.874192 | 1.39919 |
| 0.878894 | 1.399114 |
| 0.88362 | 1.399039 |
| 0.888372 | 1.398965 |
| 0.89315 | 1.398891 |
| 0.897953 | 1.398819 |
| 0.902783 | 1.398747 |
| 0.907638 | 1.398676 |
| 0.912519 | 1.398605 |
| 0.917427 | 1.398536 |
| 0.92236 | 1.398467 |
| 0.927321 | 1.398399 |
| 0.932308 | 1.398331 |
| 0.937322 | 1.398264 |
| 0.942363 | 1.398198 |
| 0.947431 | 1.398133 |
| 0.952526 | 1.398068 |
| 0.957649 | 1.398004 |
| 0.962799 | 1.397941 |
| 0.967977 | 1.397878 |
| 0.973183 | 1.397816 |
| 0.978416 | 1.397755 |
| 0.983678 | 1.397694 |
| 0.988969 | 1.397634 |
| 0.994287 | 1.397574 |
| 0.999634 | 1.397515 |
| 1.00501 | 1.397457 |
| 1.01042 | 1.3974 |
| 1.01585 | 1.397342 |
| 1.02131 | 1.397286 |
| 1.02681 | 1.39723 |
| 1.03233 | 1.397175 |
| 1.03788 | 1.39712 |
| 1.04346 | 1.397066 |
| 1.04907 | 1.397013 |
| 1.05471 | 1.39696 |
| 1.06039 | 1.396907 |
| 1.06609 | 1.396855 |
| 1.07182 | 1.396804 |
| 1.07759 | 1.396753 |
| 1.08338 | 1.396703 |
| 1.08921 | 1.396653 |
| 1.09507 | 1.396604 |
| 1.10096 | 1.396555 |
| 1.10688 | 1.396507 |
| 1.11283 | 1.396459 |
| 1.11881 | 1.396412 |
| 1.12483 | 1.396366 |
| 1.13088 | 1.396319 |
| 1.13696 | 1.396274 |
| 1.14308 | 1.396228 |
| 1.14922 | 1.396184 |
| 1.1554 | 1.396139 |
| 1.16162 | 1.396096 |
| 1.16787 | 1.396052 |
| 1.17415 | 1.396009 |
| 1.18046 | 1.395967 |
| 1.18681 | 1.395925 |
| 1.19319 | 1.395883 |
| 1.19961 | 1.395842 |
| 1.20606 | 1.395801 |
| 1.21255 | 1.395761 |
| 1.21907 | 1.395721 |
| 1.22562 | 1.395682 |
| 1.23222 | 1.395643 |
| 1.23884 | 1.395604 |
| 1.2455 | 1.395566 |
| 1.2522 | 1.395528 |
| 1.25894 | 1.395491 |
| 1.26571 | 1.395454 |
| 1.27251 | 1.395417 |
| 1.27936 | 1.395381 |
| 1.28624 | 1.395345 |
| 1.29316 | 1.39531 |
| 1.30011 | 1.395275 |
| 1.3071 | 1.39524 |
| 1.31413 | 1.395206 |
| 1.3212 | 1.395172 |
| 1.32831 | 1.395138 |
| 1.33545 | 1.395105 |
| 1.34263 | 1.395072 |
| 1.34985 | 1.395039 |
| 1.35711 | 1.395007 |
| 1.36441 | 1.394975 |
| 1.37175 | 1.394944 |
| 1.37912 | 1.394912 |
| 1.38654 | 1.394881 |
| 1.394 | 1.394851 |
| 1.4015 | 1.394821 |
| 1.40903 | 1.394791 |
| 1.41661 | 1.394761 |
| 1.42423 | 1.394732 |
| 1.43189 | 1.394703 |
| 1.43959 | 1.394674 |
| 1.44733 | 1.394646 |
| 1.45511 | 1.394618 |
| 1.46294 | 1.39459 |
| 1.47081 | 1.394562 |
| 1.47872 | 1.394535 |
| 1.48667 | 1.394508 |
| 1.49467 | 1.394482 |
| 1.5027 | 1.394455 |
| 1.51079 | 1.394429 |
| 1.51891 | 1.394403 |
| 1.52708 | 1.394378 |
| 1.53529 | 1.394353 |
| 1.54355 | 1.394328 |
| 1.55185 | 1.394303 |
| 1.5602 | 1.394278 |
| 1.56859 | 1.394254 |
| 1.57702 | 1.39423 |
| 1.5855 | 1.394207 |
| 1.59403 | 1.394183 |
| 1.6026 | 1.39416 |
| 1.61122 | 1.394137 |
| 1.61989 | 1.394114 |
| 1.6286 | 1.394092 |
| 1.63736 | 1.39407 |
| 1.64616 | 1.394048 |
| 1.65502 | 1.394026 |
| 1.66392 | 1.394004 |
| 1.67286 | 1.393983 |
| 1.68186 | 1.393962 |
| 1.69091 | 1.393941 |
| 1.7 | 1.39392 |
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
- —
Room temperature.