Optical constants
Refractive index of C4H9OH (Butanol)
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
- 1.39869
- Extinction coefficient k
- 0
- Permittivity ε1
- 1.95633
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- 63.005
- Chromatic dispersion dn/dλ
- -0.0325675 µm⁻¹
- Group index ng
- 1.41783
- Group velocity dispersion
- 59.7987 fs²/mm
- Dispersion parameter D
- -326.234 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): Chang et al. 2024: n 0.4–2.0 µm
c4h9oh = ls.fetch_refractiveindex("organic", "butanol", "Chang", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(c4h9oh.range_nm) # (400, 2000) 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_fe8bcc049044/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/chang-2024).
# ... 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=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_fe8bcc049044/lightsmith?model=drude_lorentz"
c4h9oh_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 | 0.9314 |
| C3 | 0.0959 |
| C4 | 0.0137 |
| C5 | 2.97 |
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 | 1.409946 |
| 0.401617 | 1.409774 |
| 0.40324 | 1.409603 |
| 0.40487 | 1.409434 |
| 0.406506 | 1.409266 |
| 0.408149 | 1.409099 |
| 0.409799 | 1.408935 |
| 0.411455 | 1.408771 |
| 0.413118 | 1.408609 |
| 0.414788 | 1.408448 |
| 0.416465 | 1.408289 |
| 0.418148 | 1.408131 |
| 0.419838 | 1.407975 |
| 0.421535 | 1.40782 |
| 0.423239 | 1.407666 |
| 0.424949 | 1.407513 |
| 0.426667 | 1.407362 |
| 0.428391 | 1.407213 |
| 0.430123 | 1.407064 |
| 0.431861 | 1.406917 |
| 0.433607 | 1.406771 |
| 0.435359 | 1.406626 |
| 0.437119 | 1.406483 |
| 0.438886 | 1.406341 |
| 0.44066 | 1.4062 |
| 0.442441 | 1.40606 |
| 0.444229 | 1.405922 |
| 0.446024 | 1.405784 |
| 0.447827 | 1.405648 |
| 0.449637 | 1.405513 |
| 0.451455 | 1.405379 |
| 0.453279 | 1.405247 |
| 0.455111 | 1.405115 |
| 0.456951 | 1.404985 |
| 0.458798 | 1.404855 |
| 0.460652 | 1.404727 |
| 0.462514 | 1.4046 |
| 0.464383 | 1.404474 |
| 0.46626 | 1.404349 |
| 0.468145 | 1.404225 |
| 0.470037 | 1.404102 |
| 0.471937 | 1.403981 |
| 0.473844 | 1.40386 |
| 0.47576 | 1.40374 |
| 0.477683 | 1.403621 |
| 0.479613 | 1.403504 |
| 0.481552 | 1.403387 |
| 0.483498 | 1.403271 |
| 0.485452 | 1.403156 |
| 0.487414 | 1.403043 |
| 0.489385 | 1.40293 |
| 0.491363 | 1.402818 |
| 0.493349 | 1.402707 |
| 0.495343 | 1.402597 |
| 0.497345 | 1.402488 |
| 0.499355 | 1.40238 |
| 0.501373 | 1.402273 |
| 0.5034 | 1.402166 |
| 0.505434 | 1.402061 |
| 0.507477 | 1.401956 |
| 0.509528 | 1.401852 |
| 0.511588 | 1.40175 |
| 0.513655 | 1.401648 |
| 0.515732 | 1.401547 |
| 0.517816 | 1.401446 |
| 0.519909 | 1.401347 |
| 0.52201 | 1.401248 |
| 0.52412 | 1.40115 |
| 0.526239 | 1.401053 |
| 0.528366 | 1.400957 |
| 0.530501 | 1.400862 |
| 0.532645 | 1.400767 |
| 0.534798 | 1.400673 |
| 0.53696 | 1.40058 |
| 0.53913 | 1.400488 |
| 0.541309 | 1.400396 |
| 0.543497 | 1.400306 |
| 0.545694 | 1.400216 |
| 0.547899 | 1.400126 |
| 0.550114 | 1.400038 |
| 0.552337 | 1.39995 |
| 0.55457 | 1.399863 |
| 0.556811 | 1.399776 |
| 0.559062 | 1.399691 |
| 0.561321 | 1.399606 |
| 0.56359 | 1.399521 |
| 0.565868 | 1.399438 |
| 0.568155 | 1.399355 |
| 0.570452 | 1.399273 |
| 0.572757 | 1.399191 |
| 0.575072 | 1.39911 |
| 0.577397 | 1.39903 |
| 0.57973 | 1.39895 |
| 0.582073 | 1.398871 |
| 0.584426 | 1.398793 |
| 0.586788 | 1.398715 |
| 0.58916 | 1.398638 |
| 0.591541 | 1.398562 |
| 0.593932 | 1.398486 |
| 0.596333 | 1.39841 |
| 0.598743 | 1.398336 |
| 0.601163 | 1.398262 |
| 0.603593 | 1.398188 |
| 0.606032 | 1.398115 |
| 0.608482 | 1.398043 |
| 0.610941 | 1.397971 |
| 0.613411 | 1.3979 |
| 0.61589 | 1.39783 |
| 0.618379 | 1.39776 |
| 0.620879 | 1.39769 |
| 0.623388 | 1.397621 |
| 0.625908 | 1.397553 |
| 0.628438 | 1.397485 |
| 0.630978 | 1.397418 |
| 0.633528 | 1.397351 |
| 0.636088 | 1.397285 |
| 0.638659 | 1.397219 |
| 0.641241 | 1.397154 |
| 0.643833 | 1.397089 |
| 0.646435 | 1.397025 |
| 0.649048 | 1.396961 |
| 0.651671 | 1.396898 |
| 0.654305 | 1.396835 |
| 0.656949 | 1.396773 |
| 0.659605 | 1.396711 |
| 0.662271 | 1.39665 |
| 0.664948 | 1.396589 |
| 0.667635 | 1.396529 |
| 0.670334 | 1.396469 |
| 0.673043 | 1.39641 |
| 0.675763 | 1.396351 |
| 0.678495 | 1.396292 |
| 0.681237 | 1.396234 |
| 0.68399 | 1.396177 |
| 0.686755 | 1.396119 |
| 0.689531 | 1.396063 |
| 0.692318 | 1.396006 |
| 0.695116 | 1.395951 |
| 0.697925 | 1.395895 |
| 0.700746 | 1.39584 |
| 0.703579 | 1.395785 |
| 0.706422 | 1.395731 |
| 0.709278 | 1.395677 |
| 0.712144 | 1.395624 |
| 0.715023 | 1.395571 |
| 0.717913 | 1.395518 |
| 0.720814 | 1.395466 |
| 0.723728 | 1.395414 |
| 0.726653 | 1.395363 |
| 0.72959 | 1.395312 |
| 0.732539 | 1.395261 |
| 0.7355 | 1.395211 |
| 0.738472 | 1.395161 |
| 0.741457 | 1.395111 |
| 0.744454 | 1.395062 |
| 0.747463 | 1.395013 |
| 0.750484 | 1.394965 |
| 0.753517 | 1.394917 |
| 0.756563 | 1.394869 |
| 0.759621 | 1.394821 |
| 0.762691 | 1.394774 |
| 0.765774 | 1.394727 |
| 0.768869 | 1.394681 |
| 0.771977 | 1.394635 |
| 0.775097 | 1.394589 |
| 0.77823 | 1.394544 |
| 0.781375 | 1.394498 |
| 0.784533 | 1.394454 |
| 0.787704 | 1.394409 |
| 0.790888 | 1.394365 |
| 0.794085 | 1.394321 |
| 0.797294 | 1.394277 |
| 0.800517 | 1.394234 |
| 0.803752 | 1.394191 |
| 0.807001 | 1.394148 |
| 0.810263 | 1.394106 |
| 0.813538 | 1.394064 |
| 0.816826 | 1.394022 |
| 0.820127 | 1.39398 |
| 0.823442 | 1.393939 |
| 0.82677 | 1.393898 |
| 0.830112 | 1.393857 |
| 0.833467 | 1.393817 |
| 0.836836 | 1.393777 |
| 0.840218 | 1.393737 |
| 0.843614 | 1.393697 |
| 0.847024 | 1.393658 |
| 0.850447 | 1.393618 |
| 0.853885 | 1.39358 |
| 0.857336 | 1.393541 |
| 0.860801 | 1.393502 |
| 0.86428 | 1.393464 |
| 0.867774 | 1.393426 |
| 0.871281 | 1.393389 |
| 0.874803 | 1.393351 |
| 0.878338 | 1.393314 |
| 0.881888 | 1.393277 |
| 0.885453 | 1.39324 |
| 0.889032 | 1.393204 |
| 0.892625 | 1.393168 |
| 0.896233 | 1.393131 |
| 0.899855 | 1.393096 |
| 0.903492 | 1.39306 |
| 0.907144 | 1.393025 |
| 0.910811 | 1.392989 |
| 0.914492 | 1.392954 |
| 0.918188 | 1.392919 |
| 0.921899 | 1.392885 |
| 0.925626 | 1.39285 |
| 0.929367 | 1.392816 |
| 0.933123 | 1.392782 |
| 0.936895 | 1.392748 |
| 0.940681 | 1.392715 |
| 0.944483 | 1.392681 |
| 0.948301 | 1.392648 |
| 0.952134 | 1.392615 |
| 0.955982 | 1.392582 |
| 0.959846 | 1.392549 |
| 0.963726 | 1.392517 |
| 0.967621 | 1.392484 |
| 0.971532 | 1.392452 |
| 0.975458 | 1.39242 |
| 0.979401 | 1.392388 |
| 0.98336 | 1.392356 |
| 0.987334 | 1.392325 |
| 0.991325 | 1.392293 |
| 0.995332 | 1.392262 |
| 0.999355 | 1.392231 |
| 1.00339 | 1.3922 |
| 1.00745 | 1.392169 |
| 1.01152 | 1.392139 |
| 1.01561 | 1.392108 |
| 1.01971 | 1.392078 |
| 1.02384 | 1.392048 |
| 1.02797 | 1.392017 |
| 1.03213 | 1.391987 |
| 1.0363 | 1.391958 |
| 1.04049 | 1.391928 |
| 1.04469 | 1.391898 |
| 1.04892 | 1.391869 |
| 1.05316 | 1.39184 |
| 1.05741 | 1.39181 |
| 1.06169 | 1.391781 |
| 1.06598 | 1.391752 |
| 1.07029 | 1.391723 |
| 1.07461 | 1.391694 |
| 1.07896 | 1.391666 |
| 1.08332 | 1.391637 |
| 1.0877 | 1.391609 |
| 1.09209 | 1.39158 |
| 1.09651 | 1.391552 |
| 1.10094 | 1.391524 |
| 1.10539 | 1.391496 |
| 1.10986 | 1.391468 |
| 1.11434 | 1.39144 |
| 1.11885 | 1.391412 |
| 1.12337 | 1.391384 |
| 1.12791 | 1.391357 |
| 1.13247 | 1.391329 |
| 1.13704 | 1.391302 |
| 1.14164 | 1.391274 |
| 1.14625 | 1.391247 |
| 1.15089 | 1.391219 |
| 1.15554 | 1.391192 |
| 1.16021 | 1.391165 |
| 1.1649 | 1.391138 |
| 1.16961 | 1.391111 |
| 1.17433 | 1.391084 |
| 1.17908 | 1.391057 |
| 1.18385 | 1.39103 |
| 1.18863 | 1.391003 |
| 1.19344 | 1.390976 |
| 1.19826 | 1.39095 |
| 1.2031 | 1.390923 |
| 1.20797 | 1.390896 |
| 1.21285 | 1.390869 |
| 1.21775 | 1.390843 |
| 1.22267 | 1.390816 |
| 1.22761 | 1.39079 |
| 1.23258 | 1.390763 |
| 1.23756 | 1.390737 |
| 1.24256 | 1.39071 |
| 1.24758 | 1.390684 |
| 1.25262 | 1.390657 |
| 1.25769 | 1.390631 |
| 1.26277 | 1.390604 |
| 1.26787 | 1.390578 |
| 1.273 | 1.390551 |
| 1.27814 | 1.390525 |
| 1.28331 | 1.390498 |
| 1.2885 | 1.390472 |
| 1.2937 | 1.390445 |
| 1.29893 | 1.390419 |
| 1.30418 | 1.390392 |
| 1.30945 | 1.390366 |
| 1.31475 | 1.390339 |
| 1.32006 | 1.390313 |
| 1.3254 | 1.390286 |
| 1.33075 | 1.390259 |
| 1.33613 | 1.390233 |
| 1.34153 | 1.390206 |
| 1.34696 | 1.390179 |
| 1.3524 | 1.390152 |
| 1.35787 | 1.390125 |
| 1.36335 | 1.390098 |
| 1.36886 | 1.390072 |
| 1.3744 | 1.390044 |
| 1.37995 | 1.390017 |
| 1.38553 | 1.38999 |
| 1.39113 | 1.389963 |
| 1.39675 | 1.389936 |
| 1.4024 | 1.389908 |
| 1.40807 | 1.389881 |
| 1.41376 | 1.389853 |
| 1.41947 | 1.389826 |
| 1.42521 | 1.389798 |
| 1.43097 | 1.38977 |
| 1.43675 | 1.389742 |
| 1.44256 | 1.389714 |
| 1.44839 | 1.389686 |
| 1.45424 | 1.389657 |
| 1.46012 | 1.389629 |
| 1.46602 | 1.3896 |
| 1.47195 | 1.389572 |
| 1.4779 | 1.389543 |
| 1.48387 | 1.389514 |
| 1.48987 | 1.389485 |
| 1.49589 | 1.389456 |
| 1.50194 | 1.389426 |
| 1.50801 | 1.389397 |
| 1.5141 | 1.389367 |
| 1.52022 | 1.389337 |
| 1.52637 | 1.389307 |
| 1.53254 | 1.389277 |
| 1.53873 | 1.389246 |
| 1.54495 | 1.389216 |
| 1.55119 | 1.389185 |
| 1.55746 | 1.389154 |
| 1.56376 | 1.389123 |
| 1.57008 | 1.389091 |
| 1.57643 | 1.389059 |
| 1.5828 | 1.389027 |
| 1.58919 | 1.388995 |
| 1.59562 | 1.388963 |
| 1.60207 | 1.38893 |
| 1.60854 | 1.388897 |
| 1.61504 | 1.388864 |
| 1.62157 | 1.388831 |
| 1.62813 | 1.388797 |
| 1.63471 | 1.388763 |
| 1.64131 | 1.388729 |
| 1.64795 | 1.388694 |
| 1.65461 | 1.388659 |
| 1.6613 | 1.388624 |
| 1.66801 | 1.388588 |
| 1.67475 | 1.388552 |
| 1.68152 | 1.388516 |
| 1.68832 | 1.388479 |
| 1.69514 | 1.388442 |
| 1.70199 | 1.388405 |
| 1.70887 | 1.388367 |
| 1.71578 | 1.388329 |
| 1.72271 | 1.38829 |
| 1.72968 | 1.388251 |
| 1.73667 | 1.388211 |
| 1.74369 | 1.388171 |
| 1.75074 | 1.388131 |
| 1.75781 | 1.38809 |
| 1.76492 | 1.388049 |
| 1.77205 | 1.388007 |
| 1.77921 | 1.387964 |
| 1.7864 | 1.387921 |
| 1.79362 | 1.387878 |
| 1.80087 | 1.387834 |
| 1.80815 | 1.387789 |
| 1.81546 | 1.387744 |
| 1.8228 | 1.387698 |
| 1.83017 | 1.387652 |
| 1.83756 | 1.387605 |
| 1.84499 | 1.387557 |
| 1.85245 | 1.387508 |
| 1.85993 | 1.387459 |
| 1.86745 | 1.387409 |
| 1.875 | 1.387359 |
| 1.88258 | 1.387307 |
| 1.89019 | 1.387255 |
| 1.89783 | 1.387202 |
| 1.9055 | 1.387148 |
| 1.9132 | 1.387094 |
| 1.92093 | 1.387038 |
| 1.9287 | 1.386982 |
| 1.93649 | 1.386924 |
| 1.94432 | 1.386866 |
| 1.95218 | 1.386806 |
| 1.96007 | 1.386746 |
| 1.96799 | 1.386684 |
| 1.97594 | 1.386622 |
| 1.98393 | 1.386558 |
| 1.99195 | 1.386493 |
| 2 | 1.386427 |
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
- —
1-Butanol. 21.5–22.0 °C.