Optical constants
Refractive index of C6H14 (Hexane)
Kerl and Varchmin 1995: n-Hexane; 293 K; n 0.326–0.644 µm
- Data
- formula 5
- Range
- 0.326–0.644 µm
- Temperature
- 293 K
- Licence
- CC0-1.0
Plot
Click the plot to set the calculator wavelength.
At one wavelength
- Refractive index n
- 1.35442
- Extinction coefficient k
- 0
- Permittivity ε1
- 1.83444
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- —
- Chromatic dispersion dn/dλ
- -0.0321833 µm⁻¹
- Group index ng
- 1.37333
- Group velocity dispersion
- 65.9965 fs²/mm
- Dispersion parameter D
- -360.046 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): Kerl and Varchmin 1995: n-Hexane; 293 K; n 0.326–0.644 µm
c6h14 = ls.fetch_refractiveindex("organic", "hexane", "Kerl-293K", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(c6h14.range_nm) # (326, 644) 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_d4f26baee0f0/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/kerl-varchmin-1995-293k).
# ... 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=644, 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 0.326 to 0.644 µm.
Coefficients as stored
| Ci | Value |
|---|---|
| C1 | 1.34830572 |
| C2 | -0.00393237 |
| C3 | -1.0 |
| C4 | 0.00442005 |
| C5 | -2.0 |
Comments and conditions
Conditions
- temperature
- 293 K
References
- doi:10.1016/0022-2860(95)08758-n Refractive index dispersion (RID) of some liquids in the UV/VIS between 20°C and 60°C, Journal of Molecular Structure (1995)
Cite
K. Kerl and H. Varchmin. Refractive index dispersion (RID) of some liquids in the UV/VIS between 20°C and 60°C. Journal of Molecular Structure, 349, 257-260 (1995), doi:10.1016/0022-2860(95)08758-n; 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 |
|---|---|
| 0.326 | 1.377834 |
| 0.326557 | 1.377712 |
| 0.327114 | 1.377592 |
| 0.327673 | 1.377472 |
| 0.328233 | 1.377352 |
| 0.328793 | 1.377232 |
| 0.329355 | 1.377113 |
| 0.329917 | 1.376995 |
| 0.33048 | 1.376877 |
| 0.331045 | 1.376759 |
| 0.33161 | 1.376642 |
| 0.332176 | 1.376526 |
| 0.332744 | 1.376409 |
| 0.333312 | 1.376293 |
| 0.333881 | 1.376178 |
| 0.334451 | 1.376063 |
| 0.335022 | 1.375948 |
| 0.335595 | 1.375834 |
| 0.336168 | 1.375721 |
| 0.336742 | 1.375607 |
| 0.337317 | 1.375494 |
| 0.337893 | 1.375382 |
| 0.33847 | 1.37527 |
| 0.339048 | 1.375158 |
| 0.339627 | 1.375047 |
| 0.340207 | 1.374936 |
| 0.340788 | 1.374826 |
| 0.34137 | 1.374716 |
| 0.341953 | 1.374606 |
| 0.342537 | 1.374497 |
| 0.343122 | 1.374388 |
| 0.343708 | 1.37428 |
| 0.344295 | 1.374172 |
| 0.344883 | 1.374064 |
| 0.345472 | 1.373957 |
| 0.346062 | 1.37385 |
| 0.346653 | 1.373744 |
| 0.347245 | 1.373638 |
| 0.347838 | 1.373533 |
| 0.348432 | 1.373427 |
| 0.349027 | 1.373323 |
| 0.349623 | 1.373218 |
| 0.35022 | 1.373114 |
| 0.350818 | 1.373011 |
| 0.351417 | 1.372907 |
| 0.352017 | 1.372804 |
| 0.352618 | 1.372702 |
| 0.35322 | 1.3726 |
| 0.353824 | 1.372498 |
| 0.354428 | 1.372397 |
| 0.355033 | 1.372296 |
| 0.355639 | 1.372195 |
| 0.356247 | 1.372095 |
| 0.356855 | 1.371995 |
| 0.357464 | 1.371896 |
| 0.358075 | 1.371797 |
| 0.358686 | 1.371698 |
| 0.359299 | 1.3716 |
| 0.359913 | 1.371502 |
| 0.360527 | 1.371404 |
| 0.361143 | 1.371307 |
| 0.36176 | 1.37121 |
| 0.362377 | 1.371113 |
| 0.362996 | 1.371017 |
| 0.363616 | 1.370921 |
| 0.364237 | 1.370826 |
| 0.364859 | 1.370731 |
| 0.365482 | 1.370636 |
| 0.366106 | 1.370542 |
| 0.366731 | 1.370448 |
| 0.367358 | 1.370354 |
| 0.367985 | 1.370261 |
| 0.368614 | 1.370168 |
| 0.369243 | 1.370075 |
| 0.369874 | 1.369983 |
| 0.370505 | 1.369891 |
| 0.371138 | 1.369799 |
| 0.371772 | 1.369708 |
| 0.372407 | 1.369617 |
| 0.373043 | 1.369527 |
| 0.37368 | 1.369436 |
| 0.374318 | 1.369346 |
| 0.374957 | 1.369257 |
| 0.375597 | 1.369168 |
| 0.376239 | 1.369079 |
| 0.376881 | 1.36899 |
| 0.377525 | 1.368902 |
| 0.37817 | 1.368814 |
| 0.378815 | 1.368727 |
| 0.379462 | 1.368639 |
| 0.38011 | 1.368552 |
| 0.380759 | 1.368466 |
| 0.38141 | 1.36838 |
| 0.382061 | 1.368294 |
| 0.382714 | 1.368208 |
| 0.383367 | 1.368123 |
| 0.384022 | 1.368038 |
| 0.384678 | 1.367953 |
| 0.385334 | 1.367869 |
| 0.385993 | 1.367785 |
| 0.386652 | 1.367701 |
| 0.387312 | 1.367618 |
| 0.387973 | 1.367535 |
| 0.388636 | 1.367452 |
| 0.3893 | 1.367369 |
| 0.389964 | 1.367287 |
| 0.39063 | 1.367205 |
| 0.391298 | 1.367124 |
| 0.391966 | 1.367043 |
| 0.392635 | 1.366962 |
| 0.393306 | 1.366881 |
| 0.393977 | 1.366801 |
| 0.39465 | 1.366721 |
| 0.395324 | 1.366641 |
| 0.395999 | 1.366562 |
| 0.396675 | 1.366483 |
| 0.397353 | 1.366404 |
| 0.398031 | 1.366325 |
| 0.398711 | 1.366247 |
| 0.399392 | 1.366169 |
| 0.400074 | 1.366092 |
| 0.400757 | 1.366014 |
| 0.401442 | 1.365937 |
| 0.402127 | 1.365861 |
| 0.402814 | 1.365784 |
| 0.403502 | 1.365708 |
| 0.404191 | 1.365632 |
| 0.404881 | 1.365557 |
| 0.405573 | 1.365481 |
| 0.406265 | 1.365406 |
| 0.406959 | 1.365332 |
| 0.407654 | 1.365257 |
| 0.40835 | 1.365183 |
| 0.409047 | 1.365109 |
| 0.409746 | 1.365035 |
| 0.410446 | 1.364962 |
| 0.411147 | 1.364889 |
| 0.411849 | 1.364816 |
| 0.412552 | 1.364744 |
| 0.413257 | 1.364672 |
| 0.413962 | 1.3646 |
| 0.414669 | 1.364528 |
| 0.415377 | 1.364457 |
| 0.416087 | 1.364385 |
| 0.416797 | 1.364315 |
| 0.417509 | 1.364244 |
| 0.418222 | 1.364174 |
| 0.418936 | 1.364104 |
| 0.419652 | 1.364034 |
| 0.420368 | 1.363964 |
| 0.421086 | 1.363895 |
| 0.421805 | 1.363826 |
| 0.422526 | 1.363757 |
| 0.423247 | 1.363689 |
| 0.42397 | 1.363621 |
| 0.424694 | 1.363553 |
| 0.425419 | 1.363485 |
| 0.426146 | 1.363417 |
| 0.426874 | 1.36335 |
| 0.427603 | 1.363283 |
| 0.428333 | 1.363217 |
| 0.429064 | 1.36315 |
| 0.429797 | 1.363084 |
| 0.430531 | 1.363018 |
| 0.431266 | 1.362952 |
| 0.432003 | 1.362887 |
| 0.43274 | 1.362822 |
| 0.433479 | 1.362757 |
| 0.43422 | 1.362692 |
| 0.434961 | 1.362628 |
| 0.435704 | 1.362564 |
| 0.436448 | 1.3625 |
| 0.437193 | 1.362436 |
| 0.43794 | 1.362373 |
| 0.438688 | 1.362309 |
| 0.439437 | 1.362246 |
| 0.440187 | 1.362184 |
| 0.440939 | 1.362121 |
| 0.441692 | 1.362059 |
| 0.442446 | 1.361997 |
| 0.443202 | 1.361935 |
| 0.443959 | 1.361874 |
| 0.444717 | 1.361812 |
| 0.445477 | 1.361751 |
| 0.446237 | 1.36169 |
| 0.446999 | 1.36163 |
| 0.447763 | 1.36157 |
| 0.448527 | 1.361509 |
| 0.449293 | 1.361449 |
| 0.450061 | 1.36139 |
| 0.450829 | 1.36133 |
| 0.451599 | 1.361271 |
| 0.45237 | 1.361212 |
| 0.453143 | 1.361153 |
| 0.453917 | 1.361095 |
| 0.454692 | 1.361037 |
| 0.455468 | 1.360978 |
| 0.456246 | 1.360921 |
| 0.457025 | 1.360863 |
| 0.457806 | 1.360806 |
| 0.458588 | 1.360748 |
| 0.459371 | 1.360691 |
| 0.460155 | 1.360635 |
| 0.460941 | 1.360578 |
| 0.461728 | 1.360522 |
| 0.462517 | 1.360466 |
| 0.463306 | 1.36041 |
| 0.464098 | 1.360354 |
| 0.46489 | 1.360299 |
| 0.465684 | 1.360243 |
| 0.466479 | 1.360188 |
| 0.467276 | 1.360133 |
| 0.468074 | 1.360079 |
| 0.468873 | 1.360024 |
| 0.469674 | 1.35997 |
| 0.470476 | 1.359916 |
| 0.47128 | 1.359862 |
| 0.472084 | 1.359809 |
| 0.472891 | 1.359756 |
| 0.473698 | 1.359702 |
| 0.474507 | 1.359649 |
| 0.475317 | 1.359597 |
| 0.476129 | 1.359544 |
| 0.476942 | 1.359492 |
| 0.477757 | 1.35944 |
| 0.478573 | 1.359388 |
| 0.47939 | 1.359336 |
| 0.480209 | 1.359284 |
| 0.481029 | 1.359233 |
| 0.48185 | 1.359182 |
| 0.482673 | 1.359131 |
| 0.483497 | 1.35908 |
| 0.484323 | 1.35903 |
| 0.48515 | 1.358979 |
| 0.485978 | 1.358929 |
| 0.486808 | 1.358879 |
| 0.48764 | 1.358829 |
| 0.488472 | 1.35878 |
| 0.489307 | 1.358731 |
| 0.490142 | 1.358681 |
| 0.490979 | 1.358632 |
| 0.491818 | 1.358584 |
| 0.492658 | 1.358535 |
| 0.493499 | 1.358486 |
| 0.494342 | 1.358438 |
| 0.495186 | 1.35839 |
| 0.496032 | 1.358342 |
| 0.496879 | 1.358295 |
| 0.497727 | 1.358247 |
| 0.498577 | 1.3582 |
| 0.499429 | 1.358153 |
| 0.500281 | 1.358106 |
| 0.501136 | 1.358059 |
| 0.501992 | 1.358012 |
| 0.502849 | 1.357966 |
| 0.503708 | 1.35792 |
| 0.504568 | 1.357874 |
| 0.505429 | 1.357828 |
| 0.506293 | 1.357782 |
| 0.507157 | 1.357737 |
| 0.508023 | 1.357691 |
| 0.508891 | 1.357646 |
| 0.50976 | 1.357601 |
| 0.51063 | 1.357556 |
| 0.511502 | 1.357512 |
| 0.512376 | 1.357467 |
| 0.513251 | 1.357423 |
| 0.514127 | 1.357379 |
| 0.515005 | 1.357335 |
| 0.515885 | 1.357291 |
| 0.516766 | 1.357248 |
| 0.517648 | 1.357204 |
| 0.518532 | 1.357161 |
| 0.519418 | 1.357118 |
| 0.520305 | 1.357075 |
| 0.521193 | 1.357032 |
| 0.522084 | 1.35699 |
| 0.522975 | 1.356947 |
| 0.523868 | 1.356905 |
| 0.524763 | 1.356863 |
| 0.525659 | 1.356821 |
| 0.526557 | 1.356779 |
| 0.527456 | 1.356738 |
| 0.528357 | 1.356696 |
| 0.529259 | 1.356655 |
| 0.530163 | 1.356614 |
| 0.531068 | 1.356573 |
| 0.531975 | 1.356532 |
| 0.532884 | 1.356492 |
| 0.533794 | 1.356451 |
| 0.534705 | 1.356411 |
| 0.535618 | 1.356371 |
| 0.536533 | 1.356331 |
| 0.537449 | 1.356291 |
| 0.538367 | 1.356251 |
| 0.539286 | 1.356212 |
| 0.540207 | 1.356173 |
| 0.54113 | 1.356133 |
| 0.542054 | 1.356094 |
| 0.54298 | 1.356056 |
| 0.543907 | 1.356017 |
| 0.544836 | 1.355978 |
| 0.545766 | 1.35594 |
| 0.546698 | 1.355902 |
| 0.547632 | 1.355863 |
| 0.548567 | 1.355825 |
| 0.549504 | 1.355788 |
| 0.550442 | 1.35575 |
| 0.551382 | 1.355712 |
| 0.552324 | 1.355675 |
| 0.553267 | 1.355638 |
| 0.554212 | 1.355601 |
| 0.555158 | 1.355564 |
| 0.556106 | 1.355527 |
| 0.557056 | 1.35549 |
| 0.558007 | 1.355454 |
| 0.55896 | 1.355418 |
| 0.559915 | 1.355381 |
| 0.560871 | 1.355345 |
| 0.561829 | 1.355309 |
| 0.562788 | 1.355274 |
| 0.563749 | 1.355238 |
| 0.564712 | 1.355203 |
| 0.565676 | 1.355167 |
| 0.566642 | 1.355132 |
| 0.56761 | 1.355097 |
| 0.568579 | 1.355062 |
| 0.56955 | 1.355027 |
| 0.570523 | 1.354993 |
| 0.571497 | 1.354958 |
| 0.572473 | 1.354924 |
| 0.573451 | 1.354889 |
| 0.57443 | 1.354855 |
| 0.575411 | 1.354821 |
| 0.576394 | 1.354788 |
| 0.577378 | 1.354754 |
| 0.578364 | 1.35472 |
| 0.579352 | 1.354687 |
| 0.580341 | 1.354654 |
| 0.581332 | 1.35462 |
| 0.582325 | 1.354587 |
| 0.58332 | 1.354555 |
| 0.584316 | 1.354522 |
| 0.585314 | 1.354489 |
| 0.586313 | 1.354457 |
| 0.587314 | 1.354424 |
| 0.588317 | 1.354392 |
| 0.589322 | 1.35436 |
| 0.590328 | 1.354328 |
| 0.591337 | 1.354296 |
| 0.592346 | 1.354264 |
| 0.593358 | 1.354233 |
| 0.594371 | 1.354201 |
| 0.595386 | 1.35417 |
| 0.596403 | 1.354139 |
| 0.597421 | 1.354108 |
| 0.598442 | 1.354077 |
| 0.599464 | 1.354046 |
| 0.600487 | 1.354015 |
| 0.601513 | 1.353984 |
| 0.60254 | 1.353954 |
| 0.603569 | 1.353924 |
| 0.6046 | 1.353893 |
| 0.605632 | 1.353863 |
| 0.606667 | 1.353833 |
| 0.607703 | 1.353803 |
| 0.60874 | 1.353774 |
| 0.60978 | 1.353744 |
| 0.610821 | 1.353715 |
| 0.611864 | 1.353685 |
| 0.612909 | 1.353656 |
| 0.613956 | 1.353627 |
| 0.615004 | 1.353598 |
| 0.616055 | 1.353569 |
| 0.617107 | 1.35354 |
| 0.618161 | 1.353511 |
| 0.619216 | 1.353483 |
| 0.620274 | 1.353454 |
| 0.621333 | 1.353426 |
| 0.622394 | 1.353398 |
| 0.623457 | 1.35337 |
| 0.624522 | 1.353342 |
| 0.625588 | 1.353314 |
| 0.626656 | 1.353286 |
| 0.627727 | 1.353259 |
| 0.628799 | 1.353231 |
| 0.629872 | 1.353204 |
| 0.630948 | 1.353176 |
| 0.632026 | 1.353149 |
| 0.633105 | 1.353122 |
| 0.634186 | 1.353095 |
| 0.635269 | 1.353068 |
| 0.636354 | 1.353041 |
| 0.637441 | 1.353015 |
| 0.638529 | 1.352988 |
| 0.63962 | 1.352962 |
| 0.640712 | 1.352935 |
| 0.641806 | 1.352909 |
| 0.642902 | 1.352883 |
| 0.644 | 1.352857 |
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-Hexane; 293 K (20 °C). See the original publication for the expression for n(λ,T).