Optical constants
Refractive index of C4H9OH (Butanol)
Moutzouris et al. 2013: iso-Butanol; n 0.450–1.55 µm
- Data
- formula 3
- Range
- 0.45–1.551 µm
- Temperature
- 300 K
- Licence
- CC0-1.0
Plot
Click the plot to set the calculator wavelength.
At one wavelength
- Refractive index n
- 1.39294
- Extinction coefficient k
- 0
- Permittivity ε1
- 1.94027
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- 61.684
- Chromatic dispersion dn/dλ
- -0.0306062 µm⁻¹
- Group index ng
- 1.41092
- Group velocity dispersion
- 64.525 fs²/mm
- Dispersion parameter D
- -352.018 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): Moutzouris et al. 2013: iso-Butanol; n 0.450–1.55 µm
c4h9oh = ls.fetch_refractiveindex("organic", "butanol", "Moutzouris-iso", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(c4h9oh.range_nm) # (450, 1551) 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_504bddea69fd/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/moutzouris-2013-iso).
# ... 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=450, 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
Polynomial (formula 3), λ in µmValid from 0.45 to 1.551 µm.
Coefficients as stored
| Ci | Value |
|---|---|
| C1 | 1.913001067 |
| C2 | -0.00152344 |
| C3 | 2.0 |
| C4 | 0.01303537 |
| C5 | -2.0 |
| C6 | -0.00198394 |
| C7 | -4.0 |
| C8 | 0.000275162 |
| C9 | -6.0 |
Comments and conditions
Conditions
- temperature
- 300 K
References
- doi:10.1007/s00340-013-5744-3 Refractive, dispersive and thermo-optic properties of twelve organic solvents in the visible and near-infrared, Applied Physics B (2013)
Cite
Konstantinos Moutzouris et al.. Refractive, dispersive and thermo-optic properties of twelve organic solvents in the visible and near-infrared. Applied Physics B, 116, 617-622 (2013), doi:10.1007/s00340-013-5744-3; 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 |
|---|---|
| 0.45 | 1.40065 |
| 0.451398 | 1.400502 |
| 0.4528 | 1.400356 |
| 0.454206 | 1.400213 |
| 0.455617 | 1.400072 |
| 0.457032 | 1.399932 |
| 0.458452 | 1.399795 |
| 0.459876 | 1.39966 |
| 0.461304 | 1.399527 |
| 0.462737 | 1.399396 |
| 0.464174 | 1.399267 |
| 0.465616 | 1.399139 |
| 0.467062 | 1.399014 |
| 0.468513 | 1.39889 |
| 0.469968 | 1.398768 |
| 0.471428 | 1.398648 |
| 0.472892 | 1.398529 |
| 0.474361 | 1.398412 |
| 0.475835 | 1.398297 |
| 0.477313 | 1.398183 |
| 0.478795 | 1.398071 |
| 0.480282 | 1.39796 |
| 0.481774 | 1.397851 |
| 0.483271 | 1.397743 |
| 0.484772 | 1.397637 |
| 0.486277 | 1.397532 |
| 0.487788 | 1.397429 |
| 0.489303 | 1.397327 |
| 0.490823 | 1.397226 |
| 0.492347 | 1.397126 |
| 0.493877 | 1.397028 |
| 0.495411 | 1.396931 |
| 0.496949 | 1.396835 |
| 0.498493 | 1.39674 |
| 0.500041 | 1.396647 |
| 0.501595 | 1.396554 |
| 0.503153 | 1.396463 |
| 0.504715 | 1.396373 |
| 0.506283 | 1.396284 |
| 0.507856 | 1.396196 |
| 0.509433 | 1.396109 |
| 0.511015 | 1.396023 |
| 0.512603 | 1.395938 |
| 0.514195 | 1.395854 |
| 0.515792 | 1.395771 |
| 0.517394 | 1.395689 |
| 0.519001 | 1.395607 |
| 0.520613 | 1.395527 |
| 0.52223 | 1.395448 |
| 0.523852 | 1.395369 |
| 0.52548 | 1.395291 |
| 0.527112 | 1.395214 |
| 0.528749 | 1.395138 |
| 0.530391 | 1.395063 |
| 0.532039 | 1.394988 |
| 0.533691 | 1.394914 |
| 0.535349 | 1.394841 |
| 0.537012 | 1.394769 |
| 0.53868 | 1.394698 |
| 0.540353 | 1.394627 |
| 0.542031 | 1.394557 |
| 0.543715 | 1.394487 |
| 0.545404 | 1.394418 |
| 0.547098 | 1.39435 |
| 0.548797 | 1.394283 |
| 0.550502 | 1.394216 |
| 0.552212 | 1.394149 |
| 0.553927 | 1.394084 |
| 0.555647 | 1.394019 |
| 0.557373 | 1.393954 |
| 0.559105 | 1.39389 |
| 0.560841 | 1.393827 |
| 0.562583 | 1.393764 |
| 0.564331 | 1.393702 |
| 0.566084 | 1.39364 |
| 0.567842 | 1.393579 |
| 0.569606 | 1.393518 |
| 0.571375 | 1.393458 |
| 0.57315 | 1.393399 |
| 0.57493 | 1.393339 |
| 0.576716 | 1.393281 |
| 0.578507 | 1.393222 |
| 0.580304 | 1.393165 |
| 0.582106 | 1.393107 |
| 0.583914 | 1.39305 |
| 0.585728 | 1.392994 |
| 0.587547 | 1.392938 |
| 0.589372 | 1.392882 |
| 0.591203 | 1.392827 |
| 0.593039 | 1.392773 |
| 0.594881 | 1.392718 |
| 0.596729 | 1.392664 |
| 0.598583 | 1.392611 |
| 0.600442 | 1.392558 |
| 0.602307 | 1.392505 |
| 0.604178 | 1.392452 |
| 0.606054 | 1.3924 |
| 0.607937 | 1.392348 |
| 0.609825 | 1.392297 |
| 0.611719 | 1.392246 |
| 0.613619 | 1.392195 |
| 0.615525 | 1.392145 |
| 0.617437 | 1.392095 |
| 0.619355 | 1.392045 |
| 0.621279 | 1.391996 |
| 0.623209 | 1.391947 |
| 0.625144 | 1.391898 |
| 0.627086 | 1.39185 |
| 0.629034 | 1.391802 |
| 0.630988 | 1.391754 |
| 0.632948 | 1.391706 |
| 0.634914 | 1.391659 |
| 0.636886 | 1.391612 |
| 0.638864 | 1.391566 |
| 0.640848 | 1.391519 |
| 0.642839 | 1.391473 |
| 0.644835 | 1.391427 |
| 0.646838 | 1.391382 |
| 0.648847 | 1.391336 |
| 0.650863 | 1.391291 |
| 0.652885 | 1.391246 |
| 0.654912 | 1.391202 |
| 0.656947 | 1.391157 |
| 0.658987 | 1.391113 |
| 0.661034 | 1.39107 |
| 0.663087 | 1.391026 |
| 0.665147 | 1.390983 |
| 0.667213 | 1.390939 |
| 0.669285 | 1.390897 |
| 0.671364 | 1.390854 |
| 0.673449 | 1.390811 |
| 0.675541 | 1.390769 |
| 0.67764 | 1.390727 |
| 0.679744 | 1.390685 |
| 0.681856 | 1.390644 |
| 0.683974 | 1.390602 |
| 0.686098 | 1.390561 |
| 0.688229 | 1.39052 |
| 0.690367 | 1.390479 |
| 0.692511 | 1.390439 |
| 0.694662 | 1.390399 |
| 0.69682 | 1.390358 |
| 0.698984 | 1.390318 |
| 0.701155 | 1.390279 |
| 0.703333 | 1.390239 |
| 0.705518 | 1.3902 |
| 0.707709 | 1.39016 |
| 0.709907 | 1.390121 |
| 0.712112 | 1.390082 |
| 0.714324 | 1.390044 |
| 0.716543 | 1.390005 |
| 0.718769 | 1.389967 |
| 0.721001 | 1.389929 |
| 0.723241 | 1.389891 |
| 0.725487 | 1.389853 |
| 0.727741 | 1.389815 |
| 0.730001 | 1.389778 |
| 0.732269 | 1.389741 |
| 0.734543 | 1.389703 |
| 0.736825 | 1.389666 |
| 0.739113 | 1.38963 |
| 0.741409 | 1.389593 |
| 0.743712 | 1.389556 |
| 0.746022 | 1.38952 |
| 0.748339 | 1.389484 |
| 0.750664 | 1.389448 |
| 0.752995 | 1.389412 |
| 0.755334 | 1.389376 |
| 0.75768 | 1.389341 |
| 0.760034 | 1.389305 |
| 0.762394 | 1.38927 |
| 0.764762 | 1.389235 |
| 0.767138 | 1.3892 |
| 0.769521 | 1.389165 |
| 0.771911 | 1.38913 |
| 0.774308 | 1.389096 |
| 0.776713 | 1.389061 |
| 0.779126 | 1.389027 |
| 0.781546 | 1.388993 |
| 0.783974 | 1.388959 |
| 0.786409 | 1.388925 |
| 0.788851 | 1.388891 |
| 0.791302 | 1.388858 |
| 0.793759 | 1.388824 |
| 0.796225 | 1.388791 |
| 0.798698 | 1.388758 |
| 0.801179 | 1.388725 |
| 0.803667 | 1.388692 |
| 0.806164 | 1.388659 |
| 0.808668 | 1.388626 |
| 0.811179 | 1.388594 |
| 0.813699 | 1.388561 |
| 0.816226 | 1.388529 |
| 0.818762 | 1.388497 |
| 0.821305 | 1.388465 |
| 0.823856 | 1.388433 |
| 0.826415 | 1.388401 |
| 0.828982 | 1.388369 |
| 0.831557 | 1.388338 |
| 0.83414 | 1.388306 |
| 0.83673 | 1.388275 |
| 0.839329 | 1.388244 |
| 0.841936 | 1.388213 |
| 0.844552 | 1.388182 |
| 0.847175 | 1.388151 |
| 0.849806 | 1.38812 |
| 0.852446 | 1.38809 |
| 0.855094 | 1.388059 |
| 0.85775 | 1.388029 |
| 0.860414 | 1.387998 |
| 0.863086 | 1.387968 |
| 0.865767 | 1.387938 |
| 0.868456 | 1.387908 |
| 0.871154 | 1.387878 |
| 0.87386 | 1.387849 |
| 0.876574 | 1.387819 |
| 0.879297 | 1.387789 |
| 0.882028 | 1.38776 |
| 0.884768 | 1.387731 |
| 0.887516 | 1.387702 |
| 0.890272 | 1.387672 |
| 0.893038 | 1.387643 |
| 0.895811 | 1.387615 |
| 0.898594 | 1.387586 |
| 0.901385 | 1.387557 |
| 0.904185 | 1.387528 |
| 0.906993 | 1.3875 |
| 0.909811 | 1.387472 |
| 0.912636 | 1.387443 |
| 0.915471 | 1.387415 |
| 0.918315 | 1.387387 |
| 0.921167 | 1.387359 |
| 0.924028 | 1.387331 |
| 0.926898 | 1.387303 |
| 0.929777 | 1.387276 |
| 0.932665 | 1.387248 |
| 0.935562 | 1.387221 |
| 0.938468 | 1.387193 |
| 0.941383 | 1.387166 |
| 0.944307 | 1.387139 |
| 0.94724 | 1.387112 |
| 0.950183 | 1.387085 |
| 0.953134 | 1.387058 |
| 0.956094 | 1.387031 |
| 0.959064 | 1.387004 |
| 0.962043 | 1.386977 |
| 0.965031 | 1.386951 |
| 0.968029 | 1.386924 |
| 0.971036 | 1.386898 |
| 0.974052 | 1.386872 |
| 0.977077 | 1.386845 |
| 0.980112 | 1.386819 |
| 0.983156 | 1.386793 |
| 0.98621 | 1.386767 |
| 0.989273 | 1.386741 |
| 0.992346 | 1.386716 |
| 0.995428 | 1.38669 |
| 0.99852 | 1.386664 |
| 1.00162 | 1.386639 |
| 1.00473 | 1.386613 |
| 1.00785 | 1.386588 |
| 1.01098 | 1.386563 |
| 1.01412 | 1.386538 |
| 1.01727 | 1.386512 |
| 1.02043 | 1.386487 |
| 1.0236 | 1.386462 |
| 1.02678 | 1.386438 |
| 1.02997 | 1.386413 |
| 1.03317 | 1.386388 |
| 1.03638 | 1.386363 |
| 1.0396 | 1.386339 |
| 1.04283 | 1.386314 |
| 1.04607 | 1.38629 |
| 1.04932 | 1.386266 |
| 1.05258 | 1.386241 |
| 1.05585 | 1.386217 |
| 1.05913 | 1.386193 |
| 1.06242 | 1.386169 |
| 1.06572 | 1.386145 |
| 1.06903 | 1.386121 |
| 1.07235 | 1.386097 |
| 1.07568 | 1.386074 |
| 1.07902 | 1.38605 |
| 1.08237 | 1.386026 |
| 1.08573 | 1.386003 |
| 1.0891 | 1.385979 |
| 1.09249 | 1.385956 |
| 1.09588 | 1.385933 |
| 1.09928 | 1.385909 |
| 1.1027 | 1.385886 |
| 1.10612 | 1.385863 |
| 1.10956 | 1.38584 |
| 1.11301 | 1.385817 |
| 1.11646 | 1.385794 |
| 1.11993 | 1.385771 |
| 1.12341 | 1.385748 |
| 1.1269 | 1.385726 |
| 1.1304 | 1.385703 |
| 1.13391 | 1.38568 |
| 1.13743 | 1.385658 |
| 1.14096 | 1.385635 |
| 1.14451 | 1.385613 |
| 1.14806 | 1.385591 |
| 1.15163 | 1.385568 |
| 1.15521 | 1.385546 |
| 1.15879 | 1.385524 |
| 1.16239 | 1.385502 |
| 1.166 | 1.38548 |
| 1.16963 | 1.385458 |
| 1.17326 | 1.385436 |
| 1.1769 | 1.385414 |
| 1.18056 | 1.385392 |
| 1.18423 | 1.38537 |
| 1.1879 | 1.385349 |
| 1.19159 | 1.385327 |
| 1.1953 | 1.385305 |
| 1.19901 | 1.385284 |
| 1.20273 | 1.385262 |
| 1.20647 | 1.385241 |
| 1.21022 | 1.385219 |
| 1.21397 | 1.385198 |
| 1.21774 | 1.385177 |
| 1.22153 | 1.385155 |
| 1.22532 | 1.385134 |
| 1.22913 | 1.385113 |
| 1.23295 | 1.385092 |
| 1.23677 | 1.385071 |
| 1.24062 | 1.38505 |
| 1.24447 | 1.385029 |
| 1.24834 | 1.385008 |
| 1.25221 | 1.384987 |
| 1.2561 | 1.384967 |
| 1.26 | 1.384946 |
| 1.26392 | 1.384925 |
| 1.26784 | 1.384904 |
| 1.27178 | 1.384884 |
| 1.27573 | 1.384863 |
| 1.27969 | 1.384843 |
| 1.28367 | 1.384822 |
| 1.28766 | 1.384802 |
| 1.29166 | 1.384781 |
| 1.29567 | 1.384761 |
| 1.29969 | 1.384741 |
| 1.30373 | 1.38472 |
| 1.30778 | 1.3847 |
| 1.31184 | 1.38468 |
| 1.31592 | 1.38466 |
| 1.32 | 1.384639 |
| 1.3241 | 1.384619 |
| 1.32822 | 1.384599 |
| 1.33234 | 1.384579 |
| 1.33648 | 1.384559 |
| 1.34063 | 1.384539 |
| 1.34479 | 1.384519 |
| 1.34897 | 1.384499 |
| 1.35316 | 1.38448 |
| 1.35736 | 1.38446 |
| 1.36158 | 1.38444 |
| 1.36581 | 1.38442 |
| 1.37005 | 1.3844 |
| 1.37431 | 1.384381 |
| 1.37858 | 1.384361 |
| 1.38286 | 1.384341 |
| 1.38715 | 1.384322 |
| 1.39146 | 1.384302 |
| 1.39578 | 1.384283 |
| 1.40012 | 1.384263 |
| 1.40447 | 1.384244 |
| 1.40883 | 1.384224 |
| 1.41321 | 1.384205 |
| 1.4176 | 1.384185 |
| 1.422 | 1.384166 |
| 1.42642 | 1.384146 |
| 1.43085 | 1.384127 |
| 1.43529 | 1.384108 |
| 1.43975 | 1.384088 |
| 1.44422 | 1.384069 |
| 1.44871 | 1.38405 |
| 1.45321 | 1.384031 |
| 1.45772 | 1.384011 |
| 1.46225 | 1.383992 |
| 1.46679 | 1.383973 |
| 1.47135 | 1.383954 |
| 1.47592 | 1.383935 |
| 1.4805 | 1.383916 |
| 1.4851 | 1.383896 |
| 1.48971 | 1.383877 |
| 1.49434 | 1.383858 |
| 1.49898 | 1.383839 |
| 1.50364 | 1.38382 |
| 1.50831 | 1.383801 |
| 1.51299 | 1.383782 |
| 1.51769 | 1.383763 |
| 1.52241 | 1.383744 |
| 1.52714 | 1.383725 |
| 1.53188 | 1.383706 |
| 1.53664 | 1.383687 |
| 1.54141 | 1.383668 |
| 1.5462 | 1.383649 |
| 1.551 | 1.38363 |
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
- —
Isobutanol; 300 K (27 °C).