Optical constants
Refractive index of C4H9OH (Butanol)
Moutzouris et al. 2013: n-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
- 1.39538
- Extinction coefficient k
- 0
- Permittivity ε1
- 1.9471
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- 60.561
- Chromatic dispersion dn/dλ
- -0.0318828 µm⁻¹
- Group index ng
- 1.41412
- Group velocity dispersion
- 63.7097 fs²/mm
- Dispersion parameter D
- -347.57 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: n-Butanol; n 0.450–1.55 µm
c4h9oh = ls.fetch_refractiveindex("organic", "butanol", "Moutzouris-n", 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_853b7c022438/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-n).
# ... 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 | 1.917816501 |
| C2 | -0.00115077 |
| C3 | 2.0 |
| C4 | 0.01373734 |
| C5 | -2.0 |
| C6 | -0.00194084 |
| C7 | -4.0 |
| C8 | 0.000254077 |
| 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 | 1.4031 |
| 0.451398 | 1.402957 |
| 0.4528 | 1.402816 |
| 0.454206 | 1.402677 |
| 0.455617 | 1.40254 |
| 0.457032 | 1.402405 |
| 0.458452 | 1.402271 |
| 0.459876 | 1.40214 |
| 0.461304 | 1.40201 |
| 0.462737 | 1.401883 |
| 0.464174 | 1.401757 |
| 0.465616 | 1.401632 |
| 0.467062 | 1.401509 |
| 0.468513 | 1.401388 |
| 0.469968 | 1.401269 |
| 0.471428 | 1.401151 |
| 0.472892 | 1.401035 |
| 0.474361 | 1.40092 |
| 0.475835 | 1.400806 |
| 0.477313 | 1.400695 |
| 0.478795 | 1.400584 |
| 0.480282 | 1.400475 |
| 0.481774 | 1.400367 |
| 0.483271 | 1.400261 |
| 0.484772 | 1.400156 |
| 0.486277 | 1.400052 |
| 0.487788 | 1.399949 |
| 0.489303 | 1.399848 |
| 0.490823 | 1.399748 |
| 0.492347 | 1.399649 |
| 0.493877 | 1.399551 |
| 0.495411 | 1.399454 |
| 0.496949 | 1.399359 |
| 0.498493 | 1.399264 |
| 0.500041 | 1.399171 |
| 0.501595 | 1.399078 |
| 0.503153 | 1.398987 |
| 0.504715 | 1.398897 |
| 0.506283 | 1.398807 |
| 0.507856 | 1.398719 |
| 0.509433 | 1.398632 |
| 0.511015 | 1.398545 |
| 0.512603 | 1.39846 |
| 0.514195 | 1.398375 |
| 0.515792 | 1.398291 |
| 0.517394 | 1.398208 |
| 0.519001 | 1.398126 |
| 0.520613 | 1.398045 |
| 0.52223 | 1.397965 |
| 0.523852 | 1.397885 |
| 0.52548 | 1.397806 |
| 0.527112 | 1.397728 |
| 0.528749 | 1.397651 |
| 0.530391 | 1.397574 |
| 0.532039 | 1.397498 |
| 0.533691 | 1.397423 |
| 0.535349 | 1.397349 |
| 0.537012 | 1.397275 |
| 0.53868 | 1.397202 |
| 0.540353 | 1.397129 |
| 0.542031 | 1.397058 |
| 0.543715 | 1.396987 |
| 0.545404 | 1.396916 |
| 0.547098 | 1.396846 |
| 0.548797 | 1.396777 |
| 0.550502 | 1.396708 |
| 0.552212 | 1.39664 |
| 0.553927 | 1.396573 |
| 0.555647 | 1.396506 |
| 0.557373 | 1.396439 |
| 0.559105 | 1.396373 |
| 0.560841 | 1.396308 |
| 0.562583 | 1.396243 |
| 0.564331 | 1.396179 |
| 0.566084 | 1.396115 |
| 0.567842 | 1.396052 |
| 0.569606 | 1.395989 |
| 0.571375 | 1.395927 |
| 0.57315 | 1.395865 |
| 0.57493 | 1.395804 |
| 0.576716 | 1.395743 |
| 0.578507 | 1.395682 |
| 0.580304 | 1.395622 |
| 0.582106 | 1.395563 |
| 0.583914 | 1.395503 |
| 0.585728 | 1.395445 |
| 0.587547 | 1.395386 |
| 0.589372 | 1.395328 |
| 0.591203 | 1.395271 |
| 0.593039 | 1.395214 |
| 0.594881 | 1.395157 |
| 0.596729 | 1.395101 |
| 0.598583 | 1.395045 |
| 0.600442 | 1.394989 |
| 0.602307 | 1.394934 |
| 0.604178 | 1.394879 |
| 0.606054 | 1.394825 |
| 0.607937 | 1.39477 |
| 0.609825 | 1.394717 |
| 0.611719 | 1.394663 |
| 0.613619 | 1.39461 |
| 0.615525 | 1.394557 |
| 0.617437 | 1.394505 |
| 0.619355 | 1.394453 |
| 0.621279 | 1.394401 |
| 0.623209 | 1.394349 |
| 0.625144 | 1.394298 |
| 0.627086 | 1.394247 |
| 0.629034 | 1.394197 |
| 0.630988 | 1.394146 |
| 0.632948 | 1.394096 |
| 0.634914 | 1.394047 |
| 0.636886 | 1.393997 |
| 0.638864 | 1.393948 |
| 0.640848 | 1.393899 |
| 0.642839 | 1.39385 |
| 0.644835 | 1.393802 |
| 0.646838 | 1.393754 |
| 0.648847 | 1.393706 |
| 0.650863 | 1.393659 |
| 0.652885 | 1.393611 |
| 0.654912 | 1.393564 |
| 0.656947 | 1.393517 |
| 0.658987 | 1.393471 |
| 0.661034 | 1.393425 |
| 0.663087 | 1.393379 |
| 0.665147 | 1.393333 |
| 0.667213 | 1.393287 |
| 0.669285 | 1.393242 |
| 0.671364 | 1.393197 |
| 0.673449 | 1.393152 |
| 0.675541 | 1.393107 |
| 0.67764 | 1.393063 |
| 0.679744 | 1.393019 |
| 0.681856 | 1.392975 |
| 0.683974 | 1.392931 |
| 0.686098 | 1.392887 |
| 0.688229 | 1.392844 |
| 0.690367 | 1.392801 |
| 0.692511 | 1.392758 |
| 0.694662 | 1.392715 |
| 0.69682 | 1.392673 |
| 0.698984 | 1.39263 |
| 0.701155 | 1.392588 |
| 0.703333 | 1.392546 |
| 0.705518 | 1.392505 |
| 0.707709 | 1.392463 |
| 0.709907 | 1.392422 |
| 0.712112 | 1.392381 |
| 0.714324 | 1.39234 |
| 0.716543 | 1.392299 |
| 0.718769 | 1.392258 |
| 0.721001 | 1.392218 |
| 0.723241 | 1.392178 |
| 0.725487 | 1.392138 |
| 0.727741 | 1.392098 |
| 0.730001 | 1.392058 |
| 0.732269 | 1.392019 |
| 0.734543 | 1.391979 |
| 0.736825 | 1.39194 |
| 0.739113 | 1.391901 |
| 0.741409 | 1.391863 |
| 0.743712 | 1.391824 |
| 0.746022 | 1.391786 |
| 0.748339 | 1.391747 |
| 0.750664 | 1.391709 |
| 0.752995 | 1.391671 |
| 0.755334 | 1.391633 |
| 0.75768 | 1.391596 |
| 0.760034 | 1.391558 |
| 0.762394 | 1.391521 |
| 0.764762 | 1.391484 |
| 0.767138 | 1.391447 |
| 0.769521 | 1.39141 |
| 0.771911 | 1.391374 |
| 0.774308 | 1.391337 |
| 0.776713 | 1.391301 |
| 0.779126 | 1.391265 |
| 0.781546 | 1.391228 |
| 0.783974 | 1.391193 |
| 0.786409 | 1.391157 |
| 0.788851 | 1.391121 |
| 0.791302 | 1.391086 |
| 0.793759 | 1.391051 |
| 0.796225 | 1.391015 |
| 0.798698 | 1.39098 |
| 0.801179 | 1.390946 |
| 0.803667 | 1.390911 |
| 0.806164 | 1.390876 |
| 0.808668 | 1.390842 |
| 0.811179 | 1.390808 |
| 0.813699 | 1.390773 |
| 0.816226 | 1.390739 |
| 0.818762 | 1.390706 |
| 0.821305 | 1.390672 |
| 0.823856 | 1.390638 |
| 0.826415 | 1.390605 |
| 0.828982 | 1.390571 |
| 0.831557 | 1.390538 |
| 0.83414 | 1.390505 |
| 0.83673 | 1.390472 |
| 0.839329 | 1.390439 |
| 0.841936 | 1.390407 |
| 0.844552 | 1.390374 |
| 0.847175 | 1.390342 |
| 0.849806 | 1.39031 |
| 0.852446 | 1.390278 |
| 0.855094 | 1.390246 |
| 0.85775 | 1.390214 |
| 0.860414 | 1.390182 |
| 0.863086 | 1.39015 |
| 0.865767 | 1.390119 |
| 0.868456 | 1.390087 |
| 0.871154 | 1.390056 |
| 0.87386 | 1.390025 |
| 0.876574 | 1.389994 |
| 0.879297 | 1.389963 |
| 0.882028 | 1.389932 |
| 0.884768 | 1.389902 |
| 0.887516 | 1.389871 |
| 0.890272 | 1.389841 |
| 0.893038 | 1.389811 |
| 0.895811 | 1.38978 |
| 0.898594 | 1.38975 |
| 0.901385 | 1.38972 |
| 0.904185 | 1.389691 |
| 0.906993 | 1.389661 |
| 0.909811 | 1.389631 |
| 0.912636 | 1.389602 |
| 0.915471 | 1.389573 |
| 0.918315 | 1.389543 |
| 0.921167 | 1.389514 |
| 0.924028 | 1.389485 |
| 0.926898 | 1.389456 |
| 0.929777 | 1.389427 |
| 0.932665 | 1.389399 |
| 0.935562 | 1.38937 |
| 0.938468 | 1.389342 |
| 0.941383 | 1.389313 |
| 0.944307 | 1.389285 |
| 0.94724 | 1.389257 |
| 0.950183 | 1.389229 |
| 0.953134 | 1.389201 |
| 0.956094 | 1.389173 |
| 0.959064 | 1.389146 |
| 0.962043 | 1.389118 |
| 0.965031 | 1.389091 |
| 0.968029 | 1.389063 |
| 0.971036 | 1.389036 |
| 0.974052 | 1.389009 |
| 0.977077 | 1.388982 |
| 0.980112 | 1.388955 |
| 0.983156 | 1.388928 |
| 0.98621 | 1.388901 |
| 0.989273 | 1.388874 |
| 0.992346 | 1.388848 |
| 0.995428 | 1.388821 |
| 0.99852 | 1.388795 |
| 1.00162 | 1.388769 |
| 1.00473 | 1.388742 |
| 1.00785 | 1.388716 |
| 1.01098 | 1.38869 |
| 1.01412 | 1.388664 |
| 1.01727 | 1.388639 |
| 1.02043 | 1.388613 |
| 1.0236 | 1.388587 |
| 1.02678 | 1.388562 |
| 1.02997 | 1.388536 |
| 1.03317 | 1.388511 |
| 1.03638 | 1.388486 |
| 1.0396 | 1.388461 |
| 1.04283 | 1.388436 |
| 1.04607 | 1.388411 |
| 1.04932 | 1.388386 |
| 1.05258 | 1.388361 |
| 1.05585 | 1.388336 |
| 1.05913 | 1.388312 |
| 1.06242 | 1.388287 |
| 1.06572 | 1.388263 |
| 1.06903 | 1.388239 |
| 1.07235 | 1.388214 |
| 1.07568 | 1.38819 |
| 1.07902 | 1.388166 |
| 1.08237 | 1.388142 |
| 1.08573 | 1.388118 |
| 1.0891 | 1.388094 |
| 1.09249 | 1.388071 |
| 1.09588 | 1.388047 |
| 1.09928 | 1.388023 |
| 1.1027 | 1.388 |
| 1.10612 | 1.387976 |
| 1.10956 | 1.387953 |
| 1.11301 | 1.38793 |
| 1.11646 | 1.387907 |
| 1.11993 | 1.387884 |
| 1.12341 | 1.387861 |
| 1.1269 | 1.387838 |
| 1.1304 | 1.387815 |
| 1.13391 | 1.387792 |
| 1.13743 | 1.387769 |
| 1.14096 | 1.387747 |
| 1.14451 | 1.387724 |
| 1.14806 | 1.387702 |
| 1.15163 | 1.387679 |
| 1.15521 | 1.387657 |
| 1.15879 | 1.387635 |
| 1.16239 | 1.387613 |
| 1.166 | 1.38759 |
| 1.16963 | 1.387568 |
| 1.17326 | 1.387546 |
| 1.1769 | 1.387525 |
| 1.18056 | 1.387503 |
| 1.18423 | 1.387481 |
| 1.1879 | 1.387459 |
| 1.19159 | 1.387438 |
| 1.1953 | 1.387416 |
| 1.19901 | 1.387395 |
| 1.20273 | 1.387373 |
| 1.20647 | 1.387352 |
| 1.21022 | 1.387331 |
| 1.21397 | 1.38731 |
| 1.21774 | 1.387288 |
| 1.22153 | 1.387267 |
| 1.22532 | 1.387246 |
| 1.22913 | 1.387225 |
| 1.23295 | 1.387205 |
| 1.23677 | 1.387184 |
| 1.24062 | 1.387163 |
| 1.24447 | 1.387142 |
| 1.24834 | 1.387122 |
| 1.25221 | 1.387101 |
| 1.2561 | 1.387081 |
| 1.26 | 1.38706 |
| 1.26392 | 1.38704 |
| 1.26784 | 1.387019 |
| 1.27178 | 1.386999 |
| 1.27573 | 1.386979 |
| 1.27969 | 1.386959 |
| 1.28367 | 1.386939 |
| 1.28766 | 1.386919 |
| 1.29166 | 1.386899 |
| 1.29567 | 1.386879 |
| 1.29969 | 1.386859 |
| 1.30373 | 1.386839 |
| 1.30778 | 1.386819 |
| 1.31184 | 1.3868 |
| 1.31592 | 1.38678 |
| 1.32 | 1.38676 |
| 1.3241 | 1.386741 |
| 1.32822 | 1.386721 |
| 1.33234 | 1.386702 |
| 1.33648 | 1.386682 |
| 1.34063 | 1.386663 |
| 1.34479 | 1.386644 |
| 1.34897 | 1.386625 |
| 1.35316 | 1.386605 |
| 1.35736 | 1.386586 |
| 1.36158 | 1.386567 |
| 1.36581 | 1.386548 |
| 1.37005 | 1.386529 |
| 1.37431 | 1.38651 |
| 1.37858 | 1.386491 |
| 1.38286 | 1.386472 |
| 1.38715 | 1.386453 |
| 1.39146 | 1.386435 |
| 1.39578 | 1.386416 |
| 1.40012 | 1.386397 |
| 1.40447 | 1.386378 |
| 1.40883 | 1.38636 |
| 1.41321 | 1.386341 |
| 1.4176 | 1.386323 |
| 1.422 | 1.386304 |
| 1.42642 | 1.386286 |
| 1.43085 | 1.386267 |
| 1.43529 | 1.386249 |
| 1.43975 | 1.386231 |
| 1.44422 | 1.386212 |
| 1.44871 | 1.386194 |
| 1.45321 | 1.386176 |
| 1.45772 | 1.386157 |
| 1.46225 | 1.386139 |
| 1.46679 | 1.386121 |
| 1.47135 | 1.386103 |
| 1.47592 | 1.386085 |
| 1.4805 | 1.386067 |
| 1.4851 | 1.386049 |
| 1.48971 | 1.386031 |
| 1.49434 | 1.386013 |
| 1.49898 | 1.385995 |
| 1.50364 | 1.385977 |
| 1.50831 | 1.385959 |
| 1.51299 | 1.385942 |
| 1.51769 | 1.385924 |
| 1.52241 | 1.385906 |
| 1.52714 | 1.385888 |
| 1.53188 | 1.385871 |
| 1.53664 | 1.385853 |
| 1.54141 | 1.385835 |
| 1.5462 | 1.385818 |
| 1.551 | 1.3858 |
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
- —
n-Butanol (1-Butanol); 300 K (27 °C).