Optical constants
Refractive index of C6H14 (Hexane)
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
- 1.37521
- Extinction coefficient k
- 0
- Permittivity ε1
- 1.8912
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- 59.954
- Chromatic dispersion dn/dλ
- -0.0320869 µm⁻¹
- Group index ng
- 1.39406
- Group velocity dispersion
- 60.8703 fs²/mm
- Dispersion parameter D
- -332.08 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
# C6H14 (Hexane): Chang et al. 2024: n 0.4–2.0 µm
c6h14 = ls.fetch_refractiveindex("organic", "hexane", "Chang", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(c6h14.range_nm) # (400, 2000) nm
eps = c6h14.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_4ea3bbc45c5d/lightsmith"
c6h14 = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(c6h14.source) # citation and provenance travel with the data
Any dataset here, as the library's Tabulated material (hexane/chang-2024).
# ... load c6h14 as above, then:
sim = ls.Simulation(
particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=c6h14)],
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_4ea3bbc45c5d/lightsmith?model=drude_lorentz"
c6h14_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 | 0.866 |
| C3 | 0.0988 |
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 | 1.386458 |
| 0.401617 | 1.386285 |
| 0.40324 | 1.386113 |
| 0.40487 | 1.385942 |
| 0.406506 | 1.385773 |
| 0.408149 | 1.385606 |
| 0.409799 | 1.38544 |
| 0.411455 | 1.385275 |
| 0.413118 | 1.385112 |
| 0.414788 | 1.384951 |
| 0.416465 | 1.384791 |
| 0.418148 | 1.384632 |
| 0.419838 | 1.384475 |
| 0.421535 | 1.384319 |
| 0.423239 | 1.384164 |
| 0.424949 | 1.384011 |
| 0.426667 | 1.383859 |
| 0.428391 | 1.383709 |
| 0.430123 | 1.38356 |
| 0.431861 | 1.383412 |
| 0.433607 | 1.383266 |
| 0.435359 | 1.38312 |
| 0.437119 | 1.382976 |
| 0.438886 | 1.382834 |
| 0.44066 | 1.382692 |
| 0.442441 | 1.382552 |
| 0.444229 | 1.382413 |
| 0.446024 | 1.382275 |
| 0.447827 | 1.382139 |
| 0.449637 | 1.382004 |
| 0.451455 | 1.381869 |
| 0.453279 | 1.381736 |
| 0.455111 | 1.381605 |
| 0.456951 | 1.381474 |
| 0.458798 | 1.381344 |
| 0.460652 | 1.381216 |
| 0.462514 | 1.381089 |
| 0.464383 | 1.380963 |
| 0.46626 | 1.380838 |
| 0.468145 | 1.380714 |
| 0.470037 | 1.380591 |
| 0.471937 | 1.380469 |
| 0.473844 | 1.380348 |
| 0.47576 | 1.380228 |
| 0.477683 | 1.38011 |
| 0.479613 | 1.379992 |
| 0.481552 | 1.379875 |
| 0.483498 | 1.37976 |
| 0.485452 | 1.379645 |
| 0.487414 | 1.379531 |
| 0.489385 | 1.379419 |
| 0.491363 | 1.379307 |
| 0.493349 | 1.379196 |
| 0.495343 | 1.379087 |
| 0.497345 | 1.378978 |
| 0.499355 | 1.37887 |
| 0.501373 | 1.378763 |
| 0.5034 | 1.378657 |
| 0.505434 | 1.378552 |
| 0.507477 | 1.378448 |
| 0.509528 | 1.378344 |
| 0.511588 | 1.378242 |
| 0.513655 | 1.37814 |
| 0.515732 | 1.37804 |
| 0.517816 | 1.37794 |
| 0.519909 | 1.377841 |
| 0.52201 | 1.377743 |
| 0.52412 | 1.377645 |
| 0.526239 | 1.377549 |
| 0.528366 | 1.377453 |
| 0.530501 | 1.377359 |
| 0.532645 | 1.377265 |
| 0.534798 | 1.377171 |
| 0.53696 | 1.377079 |
| 0.53913 | 1.376987 |
| 0.541309 | 1.376896 |
| 0.543497 | 1.376806 |
| 0.545694 | 1.376717 |
| 0.547899 | 1.376629 |
| 0.550114 | 1.376541 |
| 0.552337 | 1.376454 |
| 0.55457 | 1.376368 |
| 0.556811 | 1.376282 |
| 0.559062 | 1.376197 |
| 0.561321 | 1.376113 |
| 0.56359 | 1.37603 |
| 0.565868 | 1.375947 |
| 0.568155 | 1.375865 |
| 0.570452 | 1.375784 |
| 0.572757 | 1.375703 |
| 0.575072 | 1.375623 |
| 0.577397 | 1.375544 |
| 0.57973 | 1.375465 |
| 0.582073 | 1.375387 |
| 0.584426 | 1.37531 |
| 0.586788 | 1.375234 |
| 0.58916 | 1.375158 |
| 0.591541 | 1.375082 |
| 0.593932 | 1.375008 |
| 0.596333 | 1.374934 |
| 0.598743 | 1.37486 |
| 0.601163 | 1.374787 |
| 0.603593 | 1.374715 |
| 0.606032 | 1.374644 |
| 0.608482 | 1.374573 |
| 0.610941 | 1.374502 |
| 0.613411 | 1.374432 |
| 0.61589 | 1.374363 |
| 0.618379 | 1.374295 |
| 0.620879 | 1.374227 |
| 0.623388 | 1.374159 |
| 0.625908 | 1.374092 |
| 0.628438 | 1.374026 |
| 0.630978 | 1.37396 |
| 0.633528 | 1.373895 |
| 0.636088 | 1.37383 |
| 0.638659 | 1.373766 |
| 0.641241 | 1.373702 |
| 0.643833 | 1.373639 |
| 0.646435 | 1.373577 |
| 0.649048 | 1.373515 |
| 0.651671 | 1.373453 |
| 0.654305 | 1.373392 |
| 0.656949 | 1.373332 |
| 0.659605 | 1.373272 |
| 0.662271 | 1.373212 |
| 0.664948 | 1.373153 |
| 0.667635 | 1.373095 |
| 0.670334 | 1.373037 |
| 0.673043 | 1.372979 |
| 0.675763 | 1.372922 |
| 0.678495 | 1.372866 |
| 0.681237 | 1.37281 |
| 0.68399 | 1.372754 |
| 0.686755 | 1.372699 |
| 0.689531 | 1.372644 |
| 0.692318 | 1.37259 |
| 0.695116 | 1.372536 |
| 0.697925 | 1.372483 |
| 0.700746 | 1.37243 |
| 0.703579 | 1.372378 |
| 0.706422 | 1.372326 |
| 0.709278 | 1.372274 |
| 0.712144 | 1.372223 |
| 0.715023 | 1.372172 |
| 0.717913 | 1.372122 |
| 0.720814 | 1.372072 |
| 0.723728 | 1.372022 |
| 0.726653 | 1.371973 |
| 0.72959 | 1.371925 |
| 0.732539 | 1.371877 |
| 0.7355 | 1.371829 |
| 0.738472 | 1.371781 |
| 0.741457 | 1.371734 |
| 0.744454 | 1.371687 |
| 0.747463 | 1.371641 |
| 0.750484 | 1.371595 |
| 0.753517 | 1.37155 |
| 0.756563 | 1.371505 |
| 0.759621 | 1.37146 |
| 0.762691 | 1.371415 |
| 0.765774 | 1.371371 |
| 0.768869 | 1.371328 |
| 0.771977 | 1.371284 |
| 0.775097 | 1.371241 |
| 0.77823 | 1.371199 |
| 0.781375 | 1.371157 |
| 0.784533 | 1.371115 |
| 0.787704 | 1.371073 |
| 0.790888 | 1.371032 |
| 0.794085 | 1.370991 |
| 0.797294 | 1.370951 |
| 0.800517 | 1.37091 |
| 0.803752 | 1.370871 |
| 0.807001 | 1.370831 |
| 0.810263 | 1.370792 |
| 0.813538 | 1.370753 |
| 0.816826 | 1.370714 |
| 0.820127 | 1.370676 |
| 0.823442 | 1.370638 |
| 0.82677 | 1.370601 |
| 0.830112 | 1.370563 |
| 0.833467 | 1.370526 |
| 0.836836 | 1.37049 |
| 0.840218 | 1.370453 |
| 0.843614 | 1.370417 |
| 0.847024 | 1.370381 |
| 0.850447 | 1.370346 |
| 0.853885 | 1.370311 |
| 0.857336 | 1.370276 |
| 0.860801 | 1.370241 |
| 0.86428 | 1.370207 |
| 0.867774 | 1.370173 |
| 0.871281 | 1.370139 |
| 0.874803 | 1.370105 |
| 0.878338 | 1.370072 |
| 0.881888 | 1.370039 |
| 0.885453 | 1.370007 |
| 0.889032 | 1.369974 |
| 0.892625 | 1.369942 |
| 0.896233 | 1.36991 |
| 0.899855 | 1.369878 |
| 0.903492 | 1.369847 |
| 0.907144 | 1.369816 |
| 0.910811 | 1.369785 |
| 0.914492 | 1.369755 |
| 0.918188 | 1.369724 |
| 0.921899 | 1.369694 |
| 0.925626 | 1.369664 |
| 0.929367 | 1.369635 |
| 0.933123 | 1.369605 |
| 0.936895 | 1.369576 |
| 0.940681 | 1.369547 |
| 0.944483 | 1.369519 |
| 0.948301 | 1.36949 |
| 0.952134 | 1.369462 |
| 0.955982 | 1.369434 |
| 0.959846 | 1.369406 |
| 0.963726 | 1.369379 |
| 0.967621 | 1.369352 |
| 0.971532 | 1.369325 |
| 0.975458 | 1.369298 |
| 0.979401 | 1.369271 |
| 0.98336 | 1.369245 |
| 0.987334 | 1.369219 |
| 0.991325 | 1.369193 |
| 0.995332 | 1.369167 |
| 0.999355 | 1.369141 |
| 1.00339 | 1.369116 |
| 1.00745 | 1.369091 |
| 1.01152 | 1.369066 |
| 1.01561 | 1.369041 |
| 1.01971 | 1.369017 |
| 1.02384 | 1.368992 |
| 1.02797 | 1.368968 |
| 1.03213 | 1.368944 |
| 1.0363 | 1.368921 |
| 1.04049 | 1.368897 |
| 1.04469 | 1.368874 |
| 1.04892 | 1.368851 |
| 1.05316 | 1.368828 |
| 1.05741 | 1.368805 |
| 1.06169 | 1.368782 |
| 1.06598 | 1.36876 |
| 1.07029 | 1.368738 |
| 1.07461 | 1.368716 |
| 1.07896 | 1.368694 |
| 1.08332 | 1.368672 |
| 1.0877 | 1.368651 |
| 1.09209 | 1.368629 |
| 1.09651 | 1.368608 |
| 1.10094 | 1.368587 |
| 1.10539 | 1.368566 |
| 1.10986 | 1.368546 |
| 1.11434 | 1.368525 |
| 1.11885 | 1.368505 |
| 1.12337 | 1.368485 |
| 1.12791 | 1.368465 |
| 1.13247 | 1.368445 |
| 1.13704 | 1.368425 |
| 1.14164 | 1.368406 |
| 1.14625 | 1.368387 |
| 1.15089 | 1.368367 |
| 1.15554 | 1.368348 |
| 1.16021 | 1.36833 |
| 1.1649 | 1.368311 |
| 1.16961 | 1.368292 |
| 1.17433 | 1.368274 |
| 1.17908 | 1.368256 |
| 1.18385 | 1.368238 |
| 1.18863 | 1.36822 |
| 1.19344 | 1.368202 |
| 1.19826 | 1.368184 |
| 1.2031 | 1.368167 |
| 1.20797 | 1.368149 |
| 1.21285 | 1.368132 |
| 1.21775 | 1.368115 |
| 1.22267 | 1.368098 |
| 1.22761 | 1.368081 |
| 1.23258 | 1.368064 |
| 1.23756 | 1.368048 |
| 1.24256 | 1.368031 |
| 1.24758 | 1.368015 |
| 1.25262 | 1.367999 |
| 1.25769 | 1.367983 |
| 1.26277 | 1.367967 |
| 1.26787 | 1.367951 |
| 1.273 | 1.367936 |
| 1.27814 | 1.36792 |
| 1.28331 | 1.367905 |
| 1.2885 | 1.36789 |
| 1.2937 | 1.367874 |
| 1.29893 | 1.367859 |
| 1.30418 | 1.367845 |
| 1.30945 | 1.36783 |
| 1.31475 | 1.367815 |
| 1.32006 | 1.367801 |
| 1.3254 | 1.367786 |
| 1.33075 | 1.367772 |
| 1.33613 | 1.367758 |
| 1.34153 | 1.367744 |
| 1.34696 | 1.36773 |
| 1.3524 | 1.367716 |
| 1.35787 | 1.367702 |
| 1.36335 | 1.367689 |
| 1.36886 | 1.367675 |
| 1.3744 | 1.367662 |
| 1.37995 | 1.367648 |
| 1.38553 | 1.367635 |
| 1.39113 | 1.367622 |
| 1.39675 | 1.367609 |
| 1.4024 | 1.367596 |
| 1.40807 | 1.367584 |
| 1.41376 | 1.367571 |
| 1.41947 | 1.367558 |
| 1.42521 | 1.367546 |
| 1.43097 | 1.367534 |
| 1.43675 | 1.367521 |
| 1.44256 | 1.367509 |
| 1.44839 | 1.367497 |
| 1.45424 | 1.367485 |
| 1.46012 | 1.367473 |
| 1.46602 | 1.367462 |
| 1.47195 | 1.36745 |
| 1.4779 | 1.367438 |
| 1.48387 | 1.367427 |
| 1.48987 | 1.367416 |
| 1.49589 | 1.367404 |
| 1.50194 | 1.367393 |
| 1.50801 | 1.367382 |
| 1.5141 | 1.367371 |
| 1.52022 | 1.36736 |
| 1.52637 | 1.367349 |
| 1.53254 | 1.367338 |
| 1.53873 | 1.367328 |
| 1.54495 | 1.367317 |
| 1.55119 | 1.367307 |
| 1.55746 | 1.367296 |
| 1.56376 | 1.367286 |
| 1.57008 | 1.367276 |
| 1.57643 | 1.367266 |
| 1.5828 | 1.367255 |
| 1.58919 | 1.367245 |
| 1.59562 | 1.367236 |
| 1.60207 | 1.367226 |
| 1.60854 | 1.367216 |
| 1.61504 | 1.367206 |
| 1.62157 | 1.367197 |
| 1.62813 | 1.367187 |
| 1.63471 | 1.367178 |
| 1.64131 | 1.367168 |
| 1.64795 | 1.367159 |
| 1.65461 | 1.36715 |
| 1.6613 | 1.367141 |
| 1.66801 | 1.367132 |
| 1.67475 | 1.367123 |
| 1.68152 | 1.367114 |
| 1.68832 | 1.367105 |
| 1.69514 | 1.367096 |
| 1.70199 | 1.367087 |
| 1.70887 | 1.367079 |
| 1.71578 | 1.36707 |
| 1.72271 | 1.367062 |
| 1.72968 | 1.367053 |
| 1.73667 | 1.367045 |
| 1.74369 | 1.367037 |
| 1.75074 | 1.367028 |
| 1.75781 | 1.36702 |
| 1.76492 | 1.367012 |
| 1.77205 | 1.367004 |
| 1.77921 | 1.366996 |
| 1.7864 | 1.366988 |
| 1.79362 | 1.36698 |
| 1.80087 | 1.366973 |
| 1.80815 | 1.366965 |
| 1.81546 | 1.366957 |
| 1.8228 | 1.36695 |
| 1.83017 | 1.366942 |
| 1.83756 | 1.366935 |
| 1.84499 | 1.366927 |
| 1.85245 | 1.36692 |
| 1.85993 | 1.366913 |
| 1.86745 | 1.366906 |
| 1.875 | 1.366898 |
| 1.88258 | 1.366891 |
| 1.89019 | 1.366884 |
| 1.89783 | 1.366877 |
| 1.9055 | 1.36687 |
| 1.9132 | 1.366863 |
| 1.92093 | 1.366857 |
| 1.9287 | 1.36685 |
| 1.93649 | 1.366843 |
| 1.94432 | 1.366836 |
| 1.95218 | 1.36683 |
| 1.96007 | 1.366823 |
| 1.96799 | 1.366817 |
| 1.97594 | 1.36681 |
| 1.98393 | 1.366804 |
| 1.99195 | 1.366798 |
| 2 | 1.366791 |
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
- —
21.5–22.0 °C.