Optical constants
Refractive index of C6H14 (Hexane)
Kerl and Varchmin 1995: n-Hexane; 333 K; n 0.326–0.644 µm
- Data
- formula 5
- Range
- 0.326–0.644 µm
- Temperature
- 333 K
- Licence
- CC0-1.0
Plot
Click the plot to set the calculator wavelength.
At one wavelength
- Refractive index n
- 1.35388
- Extinction coefficient k
- 0
- Permittivity ε1
- 1.833
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- —
- Chromatic dispersion dn/dλ
- -0.0301068 µm⁻¹
- Group index ng
- 1.37157
- Group velocity dispersion
- 62.0261 fs²/mm
- Dispersion parameter D
- -338.385 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; 333 K; n 0.326–0.644 µm
c6h14 = ls.fetch_refractiveindex("organic", "hexane", "Kerl-333K", 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_2c50c1cf9245/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-1995-333k).
# ... 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 | -0.00384116 |
| C3 | -1.0 |
| C4 | 0.00418261 |
| C5 | -2.0 |
Comments and conditions
Conditions
- temperature
- 333 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 | 1.375879 |
| 0.326557 | 1.375765 |
| 0.327114 | 1.375652 |
| 0.327673 | 1.375538 |
| 0.328233 | 1.375426 |
| 0.328793 | 1.375313 |
| 0.329355 | 1.375202 |
| 0.329917 | 1.37509 |
| 0.33048 | 1.374979 |
| 0.331045 | 1.374868 |
| 0.33161 | 1.374758 |
| 0.332176 | 1.374648 |
| 0.332744 | 1.374539 |
| 0.333312 | 1.37443 |
| 0.333881 | 1.374321 |
| 0.334451 | 1.374213 |
| 0.335022 | 1.374105 |
| 0.335595 | 1.373998 |
| 0.336168 | 1.373891 |
| 0.336742 | 1.373784 |
| 0.337317 | 1.373678 |
| 0.337893 | 1.373572 |
| 0.33847 | 1.373467 |
| 0.339048 | 1.373362 |
| 0.339627 | 1.373257 |
| 0.340207 | 1.373153 |
| 0.340788 | 1.373049 |
| 0.34137 | 1.372945 |
| 0.341953 | 1.372842 |
| 0.342537 | 1.37274 |
| 0.343122 | 1.372637 |
| 0.343708 | 1.372535 |
| 0.344295 | 1.372434 |
| 0.344883 | 1.372333 |
| 0.345472 | 1.372232 |
| 0.346062 | 1.372131 |
| 0.346653 | 1.372031 |
| 0.347245 | 1.371932 |
| 0.347838 | 1.371832 |
| 0.348432 | 1.371733 |
| 0.349027 | 1.371635 |
| 0.349623 | 1.371537 |
| 0.35022 | 1.371439 |
| 0.350818 | 1.371341 |
| 0.351417 | 1.371244 |
| 0.352017 | 1.371147 |
| 0.352618 | 1.371051 |
| 0.35322 | 1.370955 |
| 0.353824 | 1.370859 |
| 0.354428 | 1.370764 |
| 0.355033 | 1.370669 |
| 0.355639 | 1.370575 |
| 0.356247 | 1.37048 |
| 0.356855 | 1.370386 |
| 0.357464 | 1.370293 |
| 0.358075 | 1.3702 |
| 0.358686 | 1.370107 |
| 0.359299 | 1.370014 |
| 0.359913 | 1.369922 |
| 0.360527 | 1.36983 |
| 0.361143 | 1.369739 |
| 0.36176 | 1.369648 |
| 0.362377 | 1.369557 |
| 0.362996 | 1.369467 |
| 0.363616 | 1.369376 |
| 0.364237 | 1.369287 |
| 0.364859 | 1.369197 |
| 0.365482 | 1.369108 |
| 0.366106 | 1.369019 |
| 0.366731 | 1.368931 |
| 0.367358 | 1.368843 |
| 0.367985 | 1.368755 |
| 0.368614 | 1.368668 |
| 0.369243 | 1.368581 |
| 0.369874 | 1.368494 |
| 0.370505 | 1.368407 |
| 0.371138 | 1.368321 |
| 0.371772 | 1.368235 |
| 0.372407 | 1.36815 |
| 0.373043 | 1.368065 |
| 0.37368 | 1.36798 |
| 0.374318 | 1.367895 |
| 0.374957 | 1.367811 |
| 0.375597 | 1.367727 |
| 0.376239 | 1.367644 |
| 0.376881 | 1.367561 |
| 0.377525 | 1.367478 |
| 0.37817 | 1.367395 |
| 0.378815 | 1.367313 |
| 0.379462 | 1.367231 |
| 0.38011 | 1.367149 |
| 0.380759 | 1.367068 |
| 0.38141 | 1.366986 |
| 0.382061 | 1.366906 |
| 0.382714 | 1.366825 |
| 0.383367 | 1.366745 |
| 0.384022 | 1.366665 |
| 0.384678 | 1.366586 |
| 0.385334 | 1.366506 |
| 0.385993 | 1.366427 |
| 0.386652 | 1.366349 |
| 0.387312 | 1.36627 |
| 0.387973 | 1.366192 |
| 0.388636 | 1.366114 |
| 0.3893 | 1.366037 |
| 0.389964 | 1.36596 |
| 0.39063 | 1.365883 |
| 0.391298 | 1.365806 |
| 0.391966 | 1.36573 |
| 0.392635 | 1.365654 |
| 0.393306 | 1.365578 |
| 0.393977 | 1.365503 |
| 0.39465 | 1.365428 |
| 0.395324 | 1.365353 |
| 0.395999 | 1.365278 |
| 0.396675 | 1.365204 |
| 0.397353 | 1.36513 |
| 0.398031 | 1.365056 |
| 0.398711 | 1.364982 |
| 0.399392 | 1.364909 |
| 0.400074 | 1.364836 |
| 0.400757 | 1.364764 |
| 0.401442 | 1.364691 |
| 0.402127 | 1.364619 |
| 0.402814 | 1.364547 |
| 0.403502 | 1.364476 |
| 0.404191 | 1.364404 |
| 0.404881 | 1.364333 |
| 0.405573 | 1.364263 |
| 0.406265 | 1.364192 |
| 0.406959 | 1.364122 |
| 0.407654 | 1.364052 |
| 0.40835 | 1.363982 |
| 0.409047 | 1.363913 |
| 0.409746 | 1.363844 |
| 0.410446 | 1.363775 |
| 0.411147 | 1.363706 |
| 0.411849 | 1.363638 |
| 0.412552 | 1.36357 |
| 0.413257 | 1.363502 |
| 0.413962 | 1.363434 |
| 0.414669 | 1.363367 |
| 0.415377 | 1.3633 |
| 0.416087 | 1.363233 |
| 0.416797 | 1.363167 |
| 0.417509 | 1.3631 |
| 0.418222 | 1.363034 |
| 0.418936 | 1.362968 |
| 0.419652 | 1.362903 |
| 0.420368 | 1.362838 |
| 0.421086 | 1.362772 |
| 0.421805 | 1.362708 |
| 0.422526 | 1.362643 |
| 0.423247 | 1.362579 |
| 0.42397 | 1.362515 |
| 0.424694 | 1.362451 |
| 0.425419 | 1.362387 |
| 0.426146 | 1.362324 |
| 0.426874 | 1.362261 |
| 0.427603 | 1.362198 |
| 0.428333 | 1.362135 |
| 0.429064 | 1.362073 |
| 0.429797 | 1.362011 |
| 0.430531 | 1.361949 |
| 0.431266 | 1.361887 |
| 0.432003 | 1.361826 |
| 0.43274 | 1.361765 |
| 0.433479 | 1.361704 |
| 0.43422 | 1.361643 |
| 0.434961 | 1.361583 |
| 0.435704 | 1.361522 |
| 0.436448 | 1.361462 |
| 0.437193 | 1.361402 |
| 0.43794 | 1.361343 |
| 0.438688 | 1.361284 |
| 0.439437 | 1.361224 |
| 0.440187 | 1.361166 |
| 0.440939 | 1.361107 |
| 0.441692 | 1.361048 |
| 0.442446 | 1.36099 |
| 0.443202 | 1.360932 |
| 0.443959 | 1.360874 |
| 0.444717 | 1.360817 |
| 0.445477 | 1.36076 |
| 0.446237 | 1.360702 |
| 0.446999 | 1.360646 |
| 0.447763 | 1.360589 |
| 0.448527 | 1.360533 |
| 0.449293 | 1.360476 |
| 0.450061 | 1.36042 |
| 0.450829 | 1.360364 |
| 0.451599 | 1.360309 |
| 0.45237 | 1.360254 |
| 0.453143 | 1.360198 |
| 0.453917 | 1.360143 |
| 0.454692 | 1.360089 |
| 0.455468 | 1.360034 |
| 0.456246 | 1.35998 |
| 0.457025 | 1.359926 |
| 0.457806 | 1.359872 |
| 0.458588 | 1.359818 |
| 0.459371 | 1.359765 |
| 0.460155 | 1.359711 |
| 0.460941 | 1.359658 |
| 0.461728 | 1.359606 |
| 0.462517 | 1.359553 |
| 0.463306 | 1.3595 |
| 0.464098 | 1.359448 |
| 0.46489 | 1.359396 |
| 0.465684 | 1.359344 |
| 0.466479 | 1.359293 |
| 0.467276 | 1.359241 |
| 0.468074 | 1.35919 |
| 0.468873 | 1.359139 |
| 0.469674 | 1.359088 |
| 0.470476 | 1.359037 |
| 0.47128 | 1.358987 |
| 0.472084 | 1.358937 |
| 0.472891 | 1.358887 |
| 0.473698 | 1.358837 |
| 0.474507 | 1.358787 |
| 0.475317 | 1.358738 |
| 0.476129 | 1.358688 |
| 0.476942 | 1.358639 |
| 0.477757 | 1.35859 |
| 0.478573 | 1.358542 |
| 0.47939 | 1.358493 |
| 0.480209 | 1.358445 |
| 0.481029 | 1.358397 |
| 0.48185 | 1.358349 |
| 0.482673 | 1.358301 |
| 0.483497 | 1.358253 |
| 0.484323 | 1.358206 |
| 0.48515 | 1.358159 |
| 0.485978 | 1.358112 |
| 0.486808 | 1.358065 |
| 0.48764 | 1.358018 |
| 0.488472 | 1.357972 |
| 0.489307 | 1.357925 |
| 0.490142 | 1.357879 |
| 0.490979 | 1.357833 |
| 0.491818 | 1.357787 |
| 0.492658 | 1.357742 |
| 0.493499 | 1.357696 |
| 0.494342 | 1.357651 |
| 0.495186 | 1.357606 |
| 0.496032 | 1.357561 |
| 0.496879 | 1.357516 |
| 0.497727 | 1.357472 |
| 0.498577 | 1.357428 |
| 0.499429 | 1.357383 |
| 0.500281 | 1.357339 |
| 0.501136 | 1.357295 |
| 0.501992 | 1.357252 |
| 0.502849 | 1.357208 |
| 0.503708 | 1.357165 |
| 0.504568 | 1.357122 |
| 0.505429 | 1.357079 |
| 0.506293 | 1.357036 |
| 0.507157 | 1.356993 |
| 0.508023 | 1.356951 |
| 0.508891 | 1.356909 |
| 0.50976 | 1.356866 |
| 0.51063 | 1.356824 |
| 0.511502 | 1.356783 |
| 0.512376 | 1.356741 |
| 0.513251 | 1.356699 |
| 0.514127 | 1.356658 |
| 0.515005 | 1.356617 |
| 0.515885 | 1.356576 |
| 0.516766 | 1.356535 |
| 0.517648 | 1.356494 |
| 0.518532 | 1.356454 |
| 0.519418 | 1.356414 |
| 0.520305 | 1.356373 |
| 0.521193 | 1.356333 |
| 0.522084 | 1.356293 |
| 0.522975 | 1.356254 |
| 0.523868 | 1.356214 |
| 0.524763 | 1.356175 |
| 0.525659 | 1.356135 |
| 0.526557 | 1.356096 |
| 0.527456 | 1.356057 |
| 0.528357 | 1.356019 |
| 0.529259 | 1.35598 |
| 0.530163 | 1.355941 |
| 0.531068 | 1.355903 |
| 0.531975 | 1.355865 |
| 0.532884 | 1.355827 |
| 0.533794 | 1.355789 |
| 0.534705 | 1.355751 |
| 0.535618 | 1.355714 |
| 0.536533 | 1.355676 |
| 0.537449 | 1.355639 |
| 0.538367 | 1.355602 |
| 0.539286 | 1.355565 |
| 0.540207 | 1.355528 |
| 0.54113 | 1.355491 |
| 0.542054 | 1.355455 |
| 0.54298 | 1.355418 |
| 0.543907 | 1.355382 |
| 0.544836 | 1.355346 |
| 0.545766 | 1.35531 |
| 0.546698 | 1.355274 |
| 0.547632 | 1.355238 |
| 0.548567 | 1.355203 |
| 0.549504 | 1.355167 |
| 0.550442 | 1.355132 |
| 0.551382 | 1.355097 |
| 0.552324 | 1.355062 |
| 0.553267 | 1.355027 |
| 0.554212 | 1.354992 |
| 0.555158 | 1.354958 |
| 0.556106 | 1.354923 |
| 0.557056 | 1.354889 |
| 0.558007 | 1.354855 |
| 0.55896 | 1.354821 |
| 0.559915 | 1.354787 |
| 0.560871 | 1.354753 |
| 0.561829 | 1.35472 |
| 0.562788 | 1.354686 |
| 0.563749 | 1.354653 |
| 0.564712 | 1.354619 |
| 0.565676 | 1.354586 |
| 0.566642 | 1.354553 |
| 0.56761 | 1.354521 |
| 0.568579 | 1.354488 |
| 0.56955 | 1.354455 |
| 0.570523 | 1.354423 |
| 0.571497 | 1.354391 |
| 0.572473 | 1.354358 |
| 0.573451 | 1.354326 |
| 0.57443 | 1.354295 |
| 0.575411 | 1.354263 |
| 0.576394 | 1.354231 |
| 0.577378 | 1.3542 |
| 0.578364 | 1.354168 |
| 0.579352 | 1.354137 |
| 0.580341 | 1.354106 |
| 0.581332 | 1.354075 |
| 0.582325 | 1.354044 |
| 0.58332 | 1.354013 |
| 0.584316 | 1.353982 |
| 0.585314 | 1.353952 |
| 0.586313 | 1.353921 |
| 0.587314 | 1.353891 |
| 0.588317 | 1.353861 |
| 0.589322 | 1.353831 |
| 0.590328 | 1.353801 |
| 0.591337 | 1.353771 |
| 0.592346 | 1.353742 |
| 0.593358 | 1.353712 |
| 0.594371 | 1.353683 |
| 0.595386 | 1.353653 |
| 0.596403 | 1.353624 |
| 0.597421 | 1.353595 |
| 0.598442 | 1.353566 |
| 0.599464 | 1.353537 |
| 0.600487 | 1.353508 |
| 0.601513 | 1.35348 |
| 0.60254 | 1.353451 |
| 0.603569 | 1.353423 |
| 0.6046 | 1.353395 |
| 0.605632 | 1.353367 |
| 0.606667 | 1.353339 |
| 0.607703 | 1.353311 |
| 0.60874 | 1.353283 |
| 0.60978 | 1.353255 |
| 0.610821 | 1.353228 |
| 0.611864 | 1.3532 |
| 0.612909 | 1.353173 |
| 0.613956 | 1.353145 |
| 0.615004 | 1.353118 |
| 0.616055 | 1.353091 |
| 0.617107 | 1.353064 |
| 0.618161 | 1.353038 |
| 0.619216 | 1.353011 |
| 0.620274 | 1.352984 |
| 0.621333 | 1.352958 |
| 0.622394 | 1.352931 |
| 0.623457 | 1.352905 |
| 0.624522 | 1.352879 |
| 0.625588 | 1.352853 |
| 0.626656 | 1.352827 |
| 0.627727 | 1.352801 |
| 0.628799 | 1.352775 |
| 0.629872 | 1.35275 |
| 0.630948 | 1.352724 |
| 0.632026 | 1.352699 |
| 0.633105 | 1.352674 |
| 0.634186 | 1.352648 |
| 0.635269 | 1.352623 |
| 0.636354 | 1.352598 |
| 0.637441 | 1.352573 |
| 0.638529 | 1.352549 |
| 0.63962 | 1.352524 |
| 0.640712 | 1.352499 |
| 0.641806 | 1.352475 |
| 0.642902 | 1.35245 |
| 0.644 | 1.352426 |
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; 333 K (60 °C). See the original publication for the expression for n(λ,T).