Optical constants
Refractive index of C6H14 (Hexane)
Kerl and Varchmin 1995: n-Hexane; 313 K; n 0.326–0.644 µm
- Data
- formula 5
- Range
- 0.326–0.644 µm
- Temperature
- 313 K
- Licence
- CC0-1.0
Plot
Click the plot to set the calculator wavelength.
At one wavelength
- Refractive index n
- 1.36516
- Extinction coefficient k
- 0
- Permittivity ε1
- 1.86365
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- —
- Chromatic dispersion dn/dλ
- -0.031145 µm⁻¹
- Group index ng
- 1.38346
- Group velocity dispersion
- 64.0113 fs²/mm
- Dispersion parameter D
- -349.216 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; 313 K; n 0.326–0.644 µm
c6h14 = ls.fetch_refractiveindex("organic", "hexane", "Kerl-313K", 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_50b5bcd8f038/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-1995-313k).
# ... 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 | 1.35931272 |
| C2 | -0.00388677 |
| C3 | -1.0 |
| C4 | 0.00430133 |
| C5 | -2.0 |
Comments and conditions
Conditions
- temperature
- 313 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 | 1.387863 |
| 0.326557 | 1.387746 |
| 0.327114 | 1.387629 |
| 0.327673 | 1.387512 |
| 0.328233 | 1.387396 |
| 0.328793 | 1.38728 |
| 0.329355 | 1.387164 |
| 0.329917 | 1.38705 |
| 0.33048 | 1.386935 |
| 0.331045 | 1.386821 |
| 0.33161 | 1.386707 |
| 0.332176 | 1.386594 |
| 0.332744 | 1.386481 |
| 0.333312 | 1.386369 |
| 0.333881 | 1.386257 |
| 0.334451 | 1.386145 |
| 0.335022 | 1.386034 |
| 0.335595 | 1.385923 |
| 0.336168 | 1.385813 |
| 0.336742 | 1.385703 |
| 0.337317 | 1.385593 |
| 0.337893 | 1.385484 |
| 0.33847 | 1.385375 |
| 0.339048 | 1.385267 |
| 0.339627 | 1.385159 |
| 0.340207 | 1.385051 |
| 0.340788 | 1.384944 |
| 0.34137 | 1.384838 |
| 0.341953 | 1.384731 |
| 0.342537 | 1.384625 |
| 0.343122 | 1.38452 |
| 0.343708 | 1.384415 |
| 0.344295 | 1.38431 |
| 0.344883 | 1.384206 |
| 0.345472 | 1.384102 |
| 0.346062 | 1.383998 |
| 0.346653 | 1.383895 |
| 0.347245 | 1.383792 |
| 0.347838 | 1.383689 |
| 0.348432 | 1.383587 |
| 0.349027 | 1.383486 |
| 0.349623 | 1.383384 |
| 0.35022 | 1.383283 |
| 0.350818 | 1.383183 |
| 0.351417 | 1.383083 |
| 0.352017 | 1.382983 |
| 0.352618 | 1.382884 |
| 0.35322 | 1.382784 |
| 0.353824 | 1.382686 |
| 0.354428 | 1.382587 |
| 0.355033 | 1.38249 |
| 0.355639 | 1.382392 |
| 0.356247 | 1.382295 |
| 0.356855 | 1.382198 |
| 0.357464 | 1.382101 |
| 0.358075 | 1.382005 |
| 0.358686 | 1.381909 |
| 0.359299 | 1.381814 |
| 0.359913 | 1.381719 |
| 0.360527 | 1.381624 |
| 0.361143 | 1.38153 |
| 0.36176 | 1.381436 |
| 0.362377 | 1.381342 |
| 0.362996 | 1.381249 |
| 0.363616 | 1.381156 |
| 0.364237 | 1.381063 |
| 0.364859 | 1.380971 |
| 0.365482 | 1.380879 |
| 0.366106 | 1.380788 |
| 0.366731 | 1.380696 |
| 0.367358 | 1.380605 |
| 0.367985 | 1.380515 |
| 0.368614 | 1.380425 |
| 0.369243 | 1.380335 |
| 0.369874 | 1.380245 |
| 0.370505 | 1.380156 |
| 0.371138 | 1.380067 |
| 0.371772 | 1.379979 |
| 0.372407 | 1.379891 |
| 0.373043 | 1.379803 |
| 0.37368 | 1.379715 |
| 0.374318 | 1.379628 |
| 0.374957 | 1.379541 |
| 0.375597 | 1.379455 |
| 0.376239 | 1.379368 |
| 0.376881 | 1.379282 |
| 0.377525 | 1.379197 |
| 0.37817 | 1.379112 |
| 0.378815 | 1.379027 |
| 0.379462 | 1.378942 |
| 0.38011 | 1.378858 |
| 0.380759 | 1.378774 |
| 0.38141 | 1.37869 |
| 0.382061 | 1.378607 |
| 0.382714 | 1.378524 |
| 0.383367 | 1.378441 |
| 0.384022 | 1.378358 |
| 0.384678 | 1.378276 |
| 0.385334 | 1.378195 |
| 0.385993 | 1.378113 |
| 0.386652 | 1.378032 |
| 0.387312 | 1.377951 |
| 0.387973 | 1.37787 |
| 0.388636 | 1.37779 |
| 0.3893 | 1.37771 |
| 0.389964 | 1.377631 |
| 0.39063 | 1.377551 |
| 0.391298 | 1.377472 |
| 0.391966 | 1.377393 |
| 0.392635 | 1.377315 |
| 0.393306 | 1.377237 |
| 0.393977 | 1.377159 |
| 0.39465 | 1.377081 |
| 0.395324 | 1.377004 |
| 0.395999 | 1.376927 |
| 0.396675 | 1.37685 |
| 0.397353 | 1.376774 |
| 0.398031 | 1.376698 |
| 0.398711 | 1.376622 |
| 0.399392 | 1.376546 |
| 0.400074 | 1.376471 |
| 0.400757 | 1.376396 |
| 0.401442 | 1.376321 |
| 0.402127 | 1.376247 |
| 0.402814 | 1.376173 |
| 0.403502 | 1.376099 |
| 0.404191 | 1.376025 |
| 0.404881 | 1.375952 |
| 0.405573 | 1.375879 |
| 0.406265 | 1.375806 |
| 0.406959 | 1.375734 |
| 0.407654 | 1.375662 |
| 0.40835 | 1.37559 |
| 0.409047 | 1.375518 |
| 0.409746 | 1.375447 |
| 0.410446 | 1.375375 |
| 0.411147 | 1.375305 |
| 0.411849 | 1.375234 |
| 0.412552 | 1.375164 |
| 0.413257 | 1.375094 |
| 0.413962 | 1.375024 |
| 0.414669 | 1.374954 |
| 0.415377 | 1.374885 |
| 0.416087 | 1.374816 |
| 0.416797 | 1.374748 |
| 0.417509 | 1.374679 |
| 0.418222 | 1.374611 |
| 0.418936 | 1.374543 |
| 0.419652 | 1.374475 |
| 0.420368 | 1.374408 |
| 0.421086 | 1.374341 |
| 0.421805 | 1.374274 |
| 0.422526 | 1.374207 |
| 0.423247 | 1.374141 |
| 0.42397 | 1.374075 |
| 0.424694 | 1.374009 |
| 0.425419 | 1.373943 |
| 0.426146 | 1.373878 |
| 0.426874 | 1.373813 |
| 0.427603 | 1.373748 |
| 0.428333 | 1.373683 |
| 0.429064 | 1.373619 |
| 0.429797 | 1.373554 |
| 0.430531 | 1.373491 |
| 0.431266 | 1.373427 |
| 0.432003 | 1.373363 |
| 0.43274 | 1.3733 |
| 0.433479 | 1.373237 |
| 0.43422 | 1.373175 |
| 0.434961 | 1.373112 |
| 0.435704 | 1.37305 |
| 0.436448 | 1.372988 |
| 0.437193 | 1.372926 |
| 0.43794 | 1.372865 |
| 0.438688 | 1.372803 |
| 0.439437 | 1.372742 |
| 0.440187 | 1.372682 |
| 0.440939 | 1.372621 |
| 0.441692 | 1.372561 |
| 0.442446 | 1.372501 |
| 0.443202 | 1.372441 |
| 0.443959 | 1.372381 |
| 0.444717 | 1.372322 |
| 0.445477 | 1.372262 |
| 0.446237 | 1.372203 |
| 0.446999 | 1.372145 |
| 0.447763 | 1.372086 |
| 0.448527 | 1.372028 |
| 0.449293 | 1.37197 |
| 0.450061 | 1.371912 |
| 0.450829 | 1.371854 |
| 0.451599 | 1.371797 |
| 0.45237 | 1.37174 |
| 0.453143 | 1.371683 |
| 0.453917 | 1.371626 |
| 0.454692 | 1.37157 |
| 0.455468 | 1.371513 |
| 0.456246 | 1.371457 |
| 0.457025 | 1.371401 |
| 0.457806 | 1.371346 |
| 0.458588 | 1.37129 |
| 0.459371 | 1.371235 |
| 0.460155 | 1.37118 |
| 0.460941 | 1.371125 |
| 0.461728 | 1.371071 |
| 0.462517 | 1.371016 |
| 0.463306 | 1.370962 |
| 0.464098 | 1.370908 |
| 0.46489 | 1.370854 |
| 0.465684 | 1.370801 |
| 0.466479 | 1.370747 |
| 0.467276 | 1.370694 |
| 0.468074 | 1.370641 |
| 0.468873 | 1.370589 |
| 0.469674 | 1.370536 |
| 0.470476 | 1.370484 |
| 0.47128 | 1.370432 |
| 0.472084 | 1.37038 |
| 0.472891 | 1.370328 |
| 0.473698 | 1.370277 |
| 0.474507 | 1.370225 |
| 0.475317 | 1.370174 |
| 0.476129 | 1.370123 |
| 0.476942 | 1.370072 |
| 0.477757 | 1.370022 |
| 0.478573 | 1.369972 |
| 0.47939 | 1.369921 |
| 0.480209 | 1.369872 |
| 0.481029 | 1.369822 |
| 0.48185 | 1.369772 |
| 0.482673 | 1.369723 |
| 0.483497 | 1.369674 |
| 0.484323 | 1.369625 |
| 0.48515 | 1.369576 |
| 0.485978 | 1.369527 |
| 0.486808 | 1.369479 |
| 0.48764 | 1.369431 |
| 0.488472 | 1.369383 |
| 0.489307 | 1.369335 |
| 0.490142 | 1.369287 |
| 0.490979 | 1.36924 |
| 0.491818 | 1.369192 |
| 0.492658 | 1.369145 |
| 0.493499 | 1.369098 |
| 0.494342 | 1.369052 |
| 0.495186 | 1.369005 |
| 0.496032 | 1.368959 |
| 0.496879 | 1.368913 |
| 0.497727 | 1.368866 |
| 0.498577 | 1.368821 |
| 0.499429 | 1.368775 |
| 0.500281 | 1.36873 |
| 0.501136 | 1.368684 |
| 0.501992 | 1.368639 |
| 0.502849 | 1.368594 |
| 0.503708 | 1.368549 |
| 0.504568 | 1.368505 |
| 0.505429 | 1.36846 |
| 0.506293 | 1.368416 |
| 0.507157 | 1.368372 |
| 0.508023 | 1.368328 |
| 0.508891 | 1.368284 |
| 0.50976 | 1.368241 |
| 0.51063 | 1.368197 |
| 0.511502 | 1.368154 |
| 0.512376 | 1.368111 |
| 0.513251 | 1.368068 |
| 0.514127 | 1.368026 |
| 0.515005 | 1.367983 |
| 0.515885 | 1.367941 |
| 0.516766 | 1.367898 |
| 0.517648 | 1.367856 |
| 0.518532 | 1.367814 |
| 0.519418 | 1.367773 |
| 0.520305 | 1.367731 |
| 0.521193 | 1.36769 |
| 0.522084 | 1.367649 |
| 0.522975 | 1.367607 |
| 0.523868 | 1.367567 |
| 0.524763 | 1.367526 |
| 0.525659 | 1.367485 |
| 0.526557 | 1.367445 |
| 0.527456 | 1.367405 |
| 0.528357 | 1.367364 |
| 0.529259 | 1.367325 |
| 0.530163 | 1.367285 |
| 0.531068 | 1.367245 |
| 0.531975 | 1.367206 |
| 0.532884 | 1.367166 |
| 0.533794 | 1.367127 |
| 0.534705 | 1.367088 |
| 0.535618 | 1.367049 |
| 0.536533 | 1.367011 |
| 0.537449 | 1.366972 |
| 0.538367 | 1.366934 |
| 0.539286 | 1.366895 |
| 0.540207 | 1.366857 |
| 0.54113 | 1.366819 |
| 0.542054 | 1.366781 |
| 0.54298 | 1.366744 |
| 0.543907 | 1.366706 |
| 0.544836 | 1.366669 |
| 0.545766 | 1.366632 |
| 0.546698 | 1.366595 |
| 0.547632 | 1.366558 |
| 0.548567 | 1.366521 |
| 0.549504 | 1.366484 |
| 0.550442 | 1.366448 |
| 0.551382 | 1.366412 |
| 0.552324 | 1.366375 |
| 0.553267 | 1.366339 |
| 0.554212 | 1.366304 |
| 0.555158 | 1.366268 |
| 0.556106 | 1.366232 |
| 0.557056 | 1.366197 |
| 0.558007 | 1.366161 |
| 0.55896 | 1.366126 |
| 0.559915 | 1.366091 |
| 0.560871 | 1.366056 |
| 0.561829 | 1.366021 |
| 0.562788 | 1.365987 |
| 0.563749 | 1.365952 |
| 0.564712 | 1.365918 |
| 0.565676 | 1.365884 |
| 0.566642 | 1.36585 |
| 0.56761 | 1.365816 |
| 0.568579 | 1.365782 |
| 0.56955 | 1.365748 |
| 0.570523 | 1.365715 |
| 0.571497 | 1.365681 |
| 0.572473 | 1.365648 |
| 0.573451 | 1.365615 |
| 0.57443 | 1.365582 |
| 0.575411 | 1.365549 |
| 0.576394 | 1.365516 |
| 0.577378 | 1.365484 |
| 0.578364 | 1.365451 |
| 0.579352 | 1.365419 |
| 0.580341 | 1.365387 |
| 0.581332 | 1.365355 |
| 0.582325 | 1.365323 |
| 0.58332 | 1.365291 |
| 0.584316 | 1.365259 |
| 0.585314 | 1.365227 |
| 0.586313 | 1.365196 |
| 0.587314 | 1.365165 |
| 0.588317 | 1.365134 |
| 0.589322 | 1.365102 |
| 0.590328 | 1.365071 |
| 0.591337 | 1.365041 |
| 0.592346 | 1.36501 |
| 0.593358 | 1.364979 |
| 0.594371 | 1.364949 |
| 0.595386 | 1.364919 |
| 0.596403 | 1.364888 |
| 0.597421 | 1.364858 |
| 0.598442 | 1.364828 |
| 0.599464 | 1.364799 |
| 0.600487 | 1.364769 |
| 0.601513 | 1.364739 |
| 0.60254 | 1.36471 |
| 0.603569 | 1.36468 |
| 0.6046 | 1.364651 |
| 0.605632 | 1.364622 |
| 0.606667 | 1.364593 |
| 0.607703 | 1.364564 |
| 0.60874 | 1.364535 |
| 0.60978 | 1.364507 |
| 0.610821 | 1.364478 |
| 0.611864 | 1.36445 |
| 0.612909 | 1.364421 |
| 0.613956 | 1.364393 |
| 0.615004 | 1.364365 |
| 0.616055 | 1.364337 |
| 0.617107 | 1.364309 |
| 0.618161 | 1.364281 |
| 0.619216 | 1.364254 |
| 0.620274 | 1.364226 |
| 0.621333 | 1.364199 |
| 0.622394 | 1.364172 |
| 0.623457 | 1.364144 |
| 0.624522 | 1.364117 |
| 0.625588 | 1.36409 |
| 0.626656 | 1.364064 |
| 0.627727 | 1.364037 |
| 0.628799 | 1.36401 |
| 0.629872 | 1.363984 |
| 0.630948 | 1.363957 |
| 0.632026 | 1.363931 |
| 0.633105 | 1.363905 |
| 0.634186 | 1.363879 |
| 0.635269 | 1.363853 |
| 0.636354 | 1.363827 |
| 0.637441 | 1.363801 |
| 0.638529 | 1.363775 |
| 0.63962 | 1.36375 |
| 0.640712 | 1.363724 |
| 0.641806 | 1.363699 |
| 0.642902 | 1.363674 |
| 0.644 | 1.363649 |
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; 313 K (40 °C). See the original publication for the expression for n(λ,T).