Optical constants
Refractive index of C4H9OH (Butanol)
El-Kashef 2000: n 0.4–0.8 µm
- Data
- formula 5
- Range
- 0.4–0.8 µm
- Temperature
- 293 K
- Licence
- CC0-1.0
Plot
Click the plot to set the calculator wavelength.
At one wavelength
- Refractive index n
- 1.39908
- Extinction coefficient k
- 0
- Permittivity ε1
- 1.95743
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- 42.128
- Chromatic dispersion dn/dλ
- -0.0489024 µm⁻¹
- Group index ng
- 1.42782
- Group velocity dispersion
- 89.7003 fs²/mm
- Dispersion parameter D
- -489.363 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
# C4H9OH (Butanol): El-Kashef 2000: n 0.4–0.8 µm
c4h9oh = ls.fetch_refractiveindex("organic", "butanol", "El-Kashef", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(c4h9oh.range_nm) # (400, 800) nm
eps = c4h9oh.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_8c43042c0330/lightsmith"
c4h9oh = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(c4h9oh.source) # citation and provenance travel with the data
Any dataset here, as the library's Tabulated material (butanol/el-kashef-2000).
# ... load c4h9oh as above, then:
sim = ls.Simulation(
particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=c4h9oh)],
medium_index=1.0,
wavelengths=ls.WavelengthRange(start_nm=400, stop_nm=800, 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 0.4 to 0.8 µm.
Coefficients as stored
| Ci | Value |
|---|---|
| C1 | 1.384715 |
| C2 | 0.004960733 |
| C3 | -2.0 |
Comments and conditions
Conditions
- temperature
- 293 K
References
- doi:10.1016/s0921-4526(99)00856-x The necessary requirements imposed on polar dielectric laser dye solvents, Physica B: Condensed Matter (2000)
Cite
Hassan El-Kashef. The necessary requirements imposed on polar dielectric laser dye solvents. Physica B: Condensed Matter, 279, 295-301 (2000), doi:10.1016/s0921-4526(99)00856-x; 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 | 1.41572 |
| 0.400695 | 1.415612 |
| 0.401392 | 1.415505 |
| 0.40209 | 1.415398 |
| 0.402789 | 1.415292 |
| 0.40349 | 1.415186 |
| 0.404191 | 1.41508 |
| 0.404894 | 1.414975 |
| 0.405598 | 1.41487 |
| 0.406303 | 1.414765 |
| 0.40701 | 1.414661 |
| 0.407717 | 1.414557 |
| 0.408426 | 1.414453 |
| 0.409136 | 1.41435 |
| 0.409848 | 1.414248 |
| 0.41056 | 1.414145 |
| 0.411274 | 1.414043 |
| 0.411989 | 1.413941 |
| 0.412706 | 1.41384 |
| 0.413423 | 1.413739 |
| 0.414142 | 1.413638 |
| 0.414862 | 1.413538 |
| 0.415583 | 1.413438 |
| 0.416306 | 1.413338 |
| 0.41703 | 1.413239 |
| 0.417755 | 1.41314 |
| 0.418481 | 1.413042 |
| 0.419209 | 1.412943 |
| 0.419938 | 1.412845 |
| 0.420668 | 1.412748 |
| 0.421399 | 1.412651 |
| 0.422132 | 1.412554 |
| 0.422866 | 1.412457 |
| 0.423601 | 1.412361 |
| 0.424338 | 1.412265 |
| 0.425076 | 1.41217 |
| 0.425815 | 1.412074 |
| 0.426555 | 1.411979 |
| 0.427297 | 1.411885 |
| 0.42804 | 1.411791 |
| 0.428784 | 1.411697 |
| 0.429529 | 1.411603 |
| 0.430276 | 1.41151 |
| 0.431024 | 1.411417 |
| 0.431774 | 1.411324 |
| 0.432525 | 1.411232 |
| 0.433277 | 1.41114 |
| 0.43403 | 1.411048 |
| 0.434785 | 1.410957 |
| 0.435541 | 1.410866 |
| 0.436298 | 1.410775 |
| 0.437056 | 1.410685 |
| 0.437816 | 1.410595 |
| 0.438578 | 1.410505 |
| 0.43934 | 1.410416 |
| 0.440104 | 1.410327 |
| 0.440869 | 1.410238 |
| 0.441636 | 1.410149 |
| 0.442404 | 1.410061 |
| 0.443173 | 1.409973 |
| 0.443943 | 1.409885 |
| 0.444715 | 1.409798 |
| 0.445489 | 1.409711 |
| 0.446263 | 1.409624 |
| 0.447039 | 1.409538 |
| 0.447816 | 1.409452 |
| 0.448595 | 1.409366 |
| 0.449375 | 1.409281 |
| 0.450156 | 1.409195 |
| 0.450939 | 1.409111 |
| 0.451723 | 1.409026 |
| 0.452508 | 1.408942 |
| 0.453295 | 1.408858 |
| 0.454083 | 1.408774 |
| 0.454873 | 1.40869 |
| 0.455664 | 1.408607 |
| 0.456456 | 1.408524 |
| 0.45725 | 1.408442 |
| 0.458045 | 1.408359 |
| 0.458841 | 1.408277 |
| 0.459639 | 1.408196 |
| 0.460438 | 1.408114 |
| 0.461239 | 1.408033 |
| 0.462041 | 1.407952 |
| 0.462844 | 1.407872 |
| 0.463649 | 1.407791 |
| 0.464455 | 1.407711 |
| 0.465263 | 1.407632 |
| 0.466072 | 1.407552 |
| 0.466882 | 1.407473 |
| 0.467694 | 1.407394 |
| 0.468507 | 1.407315 |
| 0.469321 | 1.407237 |
| 0.470137 | 1.407159 |
| 0.470955 | 1.407081 |
| 0.471774 | 1.407003 |
| 0.472594 | 1.406926 |
| 0.473416 | 1.406849 |
| 0.474239 | 1.406772 |
| 0.475063 | 1.406696 |
| 0.475889 | 1.40662 |
| 0.476717 | 1.406544 |
| 0.477546 | 1.406468 |
| 0.478376 | 1.406392 |
| 0.479208 | 1.406317 |
| 0.480041 | 1.406242 |
| 0.480876 | 1.406168 |
| 0.481712 | 1.406093 |
| 0.482549 | 1.406019 |
| 0.483388 | 1.405945 |
| 0.484229 | 1.405872 |
| 0.485071 | 1.405798 |
| 0.485914 | 1.405725 |
| 0.486759 | 1.405652 |
| 0.487605 | 1.40558 |
| 0.488453 | 1.405507 |
| 0.489303 | 1.405435 |
| 0.490153 | 1.405363 |
| 0.491006 | 1.405292 |
| 0.491859 | 1.40522 |
| 0.492714 | 1.405149 |
| 0.493571 | 1.405078 |
| 0.494429 | 1.405008 |
| 0.495289 | 1.404937 |
| 0.49615 | 1.404867 |
| 0.497013 | 1.404797 |
| 0.497877 | 1.404728 |
| 0.498743 | 1.404658 |
| 0.49961 | 1.404589 |
| 0.500479 | 1.40452 |
| 0.501349 | 1.404451 |
| 0.50222 | 1.404383 |
| 0.503094 | 1.404315 |
| 0.503968 | 1.404247 |
| 0.504845 | 1.404179 |
| 0.505722 | 1.404111 |
| 0.506602 | 1.404044 |
| 0.507483 | 1.403977 |
| 0.508365 | 1.40391 |
| 0.509249 | 1.403844 |
| 0.510134 | 1.403777 |
| 0.511021 | 1.403711 |
| 0.51191 | 1.403645 |
| 0.5128 | 1.40358 |
| 0.513692 | 1.403514 |
| 0.514585 | 1.403449 |
| 0.515479 | 1.403384 |
| 0.516376 | 1.403319 |
| 0.517274 | 1.403255 |
| 0.518173 | 1.403191 |
| 0.519074 | 1.403126 |
| 0.519976 | 1.403063 |
| 0.52088 | 1.402999 |
| 0.521786 | 1.402936 |
| 0.522693 | 1.402872 |
| 0.523602 | 1.402809 |
| 0.524513 | 1.402747 |
| 0.525425 | 1.402684 |
| 0.526338 | 1.402622 |
| 0.527253 | 1.40256 |
| 0.52817 | 1.402498 |
| 0.529088 | 1.402436 |
| 0.530008 | 1.402375 |
| 0.53093 | 1.402313 |
| 0.531853 | 1.402252 |
| 0.532778 | 1.402191 |
| 0.533704 | 1.402131 |
| 0.534632 | 1.40207 |
| 0.535562 | 1.40201 |
| 0.536493 | 1.40195 |
| 0.537426 | 1.40189 |
| 0.53836 | 1.401831 |
| 0.539296 | 1.401772 |
| 0.540234 | 1.401712 |
| 0.541173 | 1.401653 |
| 0.542114 | 1.401595 |
| 0.543057 | 1.401536 |
| 0.544001 | 1.401478 |
| 0.544947 | 1.40142 |
| 0.545894 | 1.401362 |
| 0.546843 | 1.401304 |
| 0.547794 | 1.401246 |
| 0.548747 | 1.401189 |
| 0.549701 | 1.401132 |
| 0.550657 | 1.401075 |
| 0.551614 | 1.401018 |
| 0.552573 | 1.400962 |
| 0.553534 | 1.400905 |
| 0.554496 | 1.400849 |
| 0.55546 | 1.400793 |
| 0.556426 | 1.400738 |
| 0.557394 | 1.400682 |
| 0.558363 | 1.400627 |
| 0.559334 | 1.400571 |
| 0.560306 | 1.400516 |
| 0.56128 | 1.400462 |
| 0.562256 | 1.400407 |
| 0.563234 | 1.400353 |
| 0.564213 | 1.400298 |
| 0.565194 | 1.400244 |
| 0.566177 | 1.40019 |
| 0.567161 | 1.400137 |
| 0.568148 | 1.400083 |
| 0.569135 | 1.40003 |
| 0.570125 | 1.399977 |
| 0.571116 | 1.399924 |
| 0.572109 | 1.399871 |
| 0.573104 | 1.399819 |
| 0.5741 | 1.399766 |
| 0.575099 | 1.399714 |
| 0.576099 | 1.399662 |
| 0.5771 | 1.39961 |
| 0.578104 | 1.399558 |
| 0.579109 | 1.399507 |
| 0.580116 | 1.399456 |
| 0.581124 | 1.399405 |
| 0.582135 | 1.399354 |
| 0.583147 | 1.399303 |
| 0.584161 | 1.399252 |
| 0.585177 | 1.399202 |
| 0.586194 | 1.399152 |
| 0.587213 | 1.399101 |
| 0.588234 | 1.399052 |
| 0.589257 | 1.399002 |
| 0.590282 | 1.398952 |
| 0.591308 | 1.398903 |
| 0.592336 | 1.398854 |
| 0.593366 | 1.398805 |
| 0.594398 | 1.398756 |
| 0.595431 | 1.398707 |
| 0.596466 | 1.398659 |
| 0.597504 | 1.39861 |
| 0.598542 | 1.398562 |
| 0.599583 | 1.398514 |
| 0.600626 | 1.398466 |
| 0.60167 | 1.398418 |
| 0.602716 | 1.398371 |
| 0.603764 | 1.398324 |
| 0.604814 | 1.398276 |
| 0.605865 | 1.398229 |
| 0.606919 | 1.398182 |
| 0.607974 | 1.398136 |
| 0.609031 | 1.398089 |
| 0.61009 | 1.398043 |
| 0.611151 | 1.397997 |
| 0.612214 | 1.39795 |
| 0.613278 | 1.397905 |
| 0.614344 | 1.397859 |
| 0.615413 | 1.397813 |
| 0.616483 | 1.397768 |
| 0.617554 | 1.397723 |
| 0.618628 | 1.397677 |
| 0.619704 | 1.397632 |
| 0.620781 | 1.397588 |
| 0.621861 | 1.397543 |
| 0.622942 | 1.397499 |
| 0.624025 | 1.397454 |
| 0.62511 | 1.39741 |
| 0.626197 | 1.397366 |
| 0.627286 | 1.397322 |
| 0.628376 | 1.397278 |
| 0.629469 | 1.397235 |
| 0.630563 | 1.397191 |
| 0.63166 | 1.397148 |
| 0.632758 | 1.397105 |
| 0.633858 | 1.397062 |
| 0.63496 | 1.397019 |
| 0.636064 | 1.396977 |
| 0.63717 | 1.396934 |
| 0.638278 | 1.396892 |
| 0.639388 | 1.396849 |
| 0.6405 | 1.396807 |
| 0.641613 | 1.396765 |
| 0.642729 | 1.396724 |
| 0.643847 | 1.396682 |
| 0.644966 | 1.39664 |
| 0.646087 | 1.396599 |
| 0.647211 | 1.396558 |
| 0.648336 | 1.396517 |
| 0.649463 | 1.396476 |
| 0.650593 | 1.396435 |
| 0.651724 | 1.396394 |
| 0.652857 | 1.396354 |
| 0.653992 | 1.396313 |
| 0.655129 | 1.396273 |
| 0.656268 | 1.396233 |
| 0.657409 | 1.396193 |
| 0.658552 | 1.396153 |
| 0.659697 | 1.396114 |
| 0.660844 | 1.396074 |
| 0.661993 | 1.396035 |
| 0.663145 | 1.395996 |
| 0.664298 | 1.395956 |
| 0.665453 | 1.395917 |
| 0.66661 | 1.395879 |
| 0.667769 | 1.39584 |
| 0.66893 | 1.395801 |
| 0.670093 | 1.395763 |
| 0.671258 | 1.395724 |
| 0.672425 | 1.395686 |
| 0.673594 | 1.395648 |
| 0.674765 | 1.39561 |
| 0.675939 | 1.395573 |
| 0.677114 | 1.395535 |
| 0.678291 | 1.395497 |
| 0.679471 | 1.39546 |
| 0.680652 | 1.395423 |
| 0.681835 | 1.395386 |
| 0.683021 | 1.395349 |
| 0.684209 | 1.395312 |
| 0.685398 | 1.395275 |
| 0.68659 | 1.395238 |
| 0.687784 | 1.395202 |
| 0.68898 | 1.395165 |
| 0.690177 | 1.395129 |
| 0.691378 | 1.395093 |
| 0.69258 | 1.395057 |
| 0.693784 | 1.395021 |
| 0.69499 | 1.394985 |
| 0.696199 | 1.39495 |
| 0.697409 | 1.394914 |
| 0.698622 | 1.394879 |
| 0.699836 | 1.394844 |
| 0.701053 | 1.394809 |
| 0.702272 | 1.394774 |
| 0.703493 | 1.394739 |
| 0.704716 | 1.394704 |
| 0.705942 | 1.394669 |
| 0.707169 | 1.394635 |
| 0.708399 | 1.3946 |
| 0.70963 | 1.394566 |
| 0.710864 | 1.394532 |
| 0.7121 | 1.394498 |
| 0.713338 | 1.394464 |
| 0.714579 | 1.39443 |
| 0.715821 | 1.394396 |
| 0.717066 | 1.394363 |
| 0.718312 | 1.394329 |
| 0.719561 | 1.394296 |
| 0.720813 | 1.394263 |
| 0.722066 | 1.39423 |
| 0.723321 | 1.394197 |
| 0.724579 | 1.394164 |
| 0.725839 | 1.394131 |
| 0.727101 | 1.394098 |
| 0.728365 | 1.394066 |
| 0.729631 | 1.394033 |
| 0.7309 | 1.394001 |
| 0.732171 | 1.393969 |
| 0.733444 | 1.393937 |
| 0.734719 | 1.393905 |
| 0.735997 | 1.393873 |
| 0.737276 | 1.393841 |
| 0.738558 | 1.393809 |
| 0.739842 | 1.393778 |
| 0.741129 | 1.393746 |
| 0.742417 | 1.393715 |
| 0.743708 | 1.393684 |
| 0.745001 | 1.393653 |
| 0.746297 | 1.393622 |
| 0.747594 | 1.393591 |
| 0.748894 | 1.39356 |
| 0.750196 | 1.393529 |
| 0.751501 | 1.393499 |
| 0.752807 | 1.393468 |
| 0.754116 | 1.393438 |
| 0.755427 | 1.393408 |
| 0.756741 | 1.393378 |
| 0.758057 | 1.393348 |
| 0.759375 | 1.393318 |
| 0.760695 | 1.393288 |
| 0.762018 | 1.393258 |
| 0.763343 | 1.393228 |
| 0.76467 | 1.393199 |
| 0.765999 | 1.39317 |
| 0.767331 | 1.39314 |
| 0.768665 | 1.393111 |
| 0.770002 | 1.393082 |
| 0.771341 | 1.393053 |
| 0.772682 | 1.393024 |
| 0.774025 | 1.392995 |
| 0.775371 | 1.392966 |
| 0.776719 | 1.392938 |
| 0.77807 | 1.392909 |
| 0.779423 | 1.392881 |
| 0.780778 | 1.392852 |
| 0.782135 | 1.392824 |
| 0.783495 | 1.392796 |
| 0.784858 | 1.392768 |
| 0.786222 | 1.39274 |
| 0.787589 | 1.392712 |
| 0.788959 | 1.392685 |
| 0.790331 | 1.392657 |
| 0.791705 | 1.392629 |
| 0.793081 | 1.392602 |
| 0.79446 | 1.392575 |
| 0.795842 | 1.392547 |
| 0.797225 | 1.39252 |
| 0.798611 | 1.392493 |
| 0.8 | 1.392466 |
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
- —
20 °C.