Optical constants
Refractive index of C6H12 (Cyclohexane)
Kerl and Varchmin 1995: 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
- 1.41502
- Extinction coefficient k
- 0
- Permittivity ε1
- 2.00227
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- —
- Chromatic dispersion dn/dλ
- -0.0361574 µm⁻¹
- Group index ng
- 1.43626
- Group velocity dispersion
- 74.3146 fs²/mm
- Dispersion parameter D
- -405.426 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
# C6H12 (Cyclohexane): Kerl and Varchmin 1995: 313 K; n 0.326–0.644 µm
c6h12 = ls.fetch_refractiveindex("organic", "cyclohexane", "Kerl-313K", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(c6h12.range_nm) # (326, 644) nm
eps = c6h12.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_0b796e4a97ce/lightsmith"
c6h12 = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(c6h12.source) # citation and provenance travel with the data
Any dataset here, as the library's Tabulated material (cyclohexane/kerl-varchmin-1995-313k).
# ... load c6h12 as above, then:
sim = ls.Simulation(
particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=c6h12)],
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 | 1.40823257 |
| C2 | -0.00451317 |
| C3 | -1.0 |
| C4 | 0.00499383 |
| 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 | 1.441378 |
| 0.326557 | 1.441241 |
| 0.327114 | 1.441105 |
| 0.327673 | 1.44097 |
| 0.328233 | 1.440835 |
| 0.328793 | 1.4407 |
| 0.329355 | 1.440566 |
| 0.329917 | 1.440433 |
| 0.33048 | 1.4403 |
| 0.331045 | 1.440167 |
| 0.33161 | 1.440035 |
| 0.332176 | 1.439904 |
| 0.332744 | 1.439773 |
| 0.333312 | 1.439642 |
| 0.333881 | 1.439512 |
| 0.334451 | 1.439383 |
| 0.335022 | 1.439254 |
| 0.335595 | 1.439125 |
| 0.336168 | 1.438997 |
| 0.336742 | 1.438869 |
| 0.337317 | 1.438742 |
| 0.337893 | 1.438615 |
| 0.33847 | 1.438489 |
| 0.339048 | 1.438363 |
| 0.339627 | 1.438238 |
| 0.340207 | 1.438113 |
| 0.340788 | 1.437989 |
| 0.34137 | 1.437865 |
| 0.341953 | 1.437742 |
| 0.342537 | 1.437619 |
| 0.343122 | 1.437496 |
| 0.343708 | 1.437374 |
| 0.344295 | 1.437252 |
| 0.344883 | 1.437131 |
| 0.345472 | 1.43701 |
| 0.346062 | 1.43689 |
| 0.346653 | 1.43677 |
| 0.347245 | 1.436651 |
| 0.347838 | 1.436532 |
| 0.348432 | 1.436414 |
| 0.349027 | 1.436295 |
| 0.349623 | 1.436178 |
| 0.35022 | 1.436061 |
| 0.350818 | 1.435944 |
| 0.351417 | 1.435828 |
| 0.352017 | 1.435712 |
| 0.352618 | 1.435596 |
| 0.35322 | 1.435481 |
| 0.353824 | 1.435367 |
| 0.354428 | 1.435253 |
| 0.355033 | 1.435139 |
| 0.355639 | 1.435026 |
| 0.356247 | 1.434913 |
| 0.356855 | 1.4348 |
| 0.357464 | 1.434688 |
| 0.358075 | 1.434577 |
| 0.358686 | 1.434465 |
| 0.359299 | 1.434355 |
| 0.359913 | 1.434244 |
| 0.360527 | 1.434134 |
| 0.361143 | 1.434025 |
| 0.36176 | 1.433916 |
| 0.362377 | 1.433807 |
| 0.362996 | 1.433699 |
| 0.363616 | 1.433591 |
| 0.364237 | 1.433483 |
| 0.364859 | 1.433376 |
| 0.365482 | 1.433269 |
| 0.366106 | 1.433163 |
| 0.366731 | 1.433057 |
| 0.367358 | 1.432952 |
| 0.367985 | 1.432847 |
| 0.368614 | 1.432742 |
| 0.369243 | 1.432637 |
| 0.369874 | 1.432534 |
| 0.370505 | 1.43243 |
| 0.371138 | 1.432327 |
| 0.371772 | 1.432224 |
| 0.372407 | 1.432122 |
| 0.373043 | 1.43202 |
| 0.37368 | 1.431918 |
| 0.374318 | 1.431817 |
| 0.374957 | 1.431716 |
| 0.375597 | 1.431615 |
| 0.376239 | 1.431515 |
| 0.376881 | 1.431416 |
| 0.377525 | 1.431316 |
| 0.37817 | 1.431217 |
| 0.378815 | 1.431119 |
| 0.379462 | 1.43102 |
| 0.38011 | 1.430922 |
| 0.380759 | 1.430825 |
| 0.38141 | 1.430728 |
| 0.382061 | 1.430631 |
| 0.382714 | 1.430535 |
| 0.383367 | 1.430439 |
| 0.384022 | 1.430343 |
| 0.384678 | 1.430248 |
| 0.385334 | 1.430153 |
| 0.385993 | 1.430058 |
| 0.386652 | 1.429964 |
| 0.387312 | 1.42987 |
| 0.387973 | 1.429776 |
| 0.388636 | 1.429683 |
| 0.3893 | 1.42959 |
| 0.389964 | 1.429498 |
| 0.39063 | 1.429406 |
| 0.391298 | 1.429314 |
| 0.391966 | 1.429222 |
| 0.392635 | 1.429131 |
| 0.393306 | 1.429041 |
| 0.393977 | 1.42895 |
| 0.39465 | 1.42886 |
| 0.395324 | 1.42877 |
| 0.395999 | 1.428681 |
| 0.396675 | 1.428592 |
| 0.397353 | 1.428503 |
| 0.398031 | 1.428415 |
| 0.398711 | 1.428327 |
| 0.399392 | 1.428239 |
| 0.400074 | 1.428152 |
| 0.400757 | 1.428065 |
| 0.401442 | 1.427978 |
| 0.402127 | 1.427891 |
| 0.402814 | 1.427805 |
| 0.403502 | 1.42772 |
| 0.404191 | 1.427634 |
| 0.404881 | 1.427549 |
| 0.405573 | 1.427464 |
| 0.406265 | 1.42738 |
| 0.406959 | 1.427296 |
| 0.407654 | 1.427212 |
| 0.40835 | 1.427128 |
| 0.409047 | 1.427045 |
| 0.409746 | 1.426962 |
| 0.410446 | 1.42688 |
| 0.411147 | 1.426798 |
| 0.411849 | 1.426716 |
| 0.412552 | 1.426634 |
| 0.413257 | 1.426553 |
| 0.413962 | 1.426472 |
| 0.414669 | 1.426391 |
| 0.415377 | 1.426311 |
| 0.416087 | 1.426231 |
| 0.416797 | 1.426151 |
| 0.417509 | 1.426071 |
| 0.418222 | 1.425992 |
| 0.418936 | 1.425913 |
| 0.419652 | 1.425835 |
| 0.420368 | 1.425756 |
| 0.421086 | 1.425678 |
| 0.421805 | 1.425601 |
| 0.422526 | 1.425523 |
| 0.423247 | 1.425446 |
| 0.42397 | 1.42537 |
| 0.424694 | 1.425293 |
| 0.425419 | 1.425217 |
| 0.426146 | 1.425141 |
| 0.426874 | 1.425065 |
| 0.427603 | 1.42499 |
| 0.428333 | 1.424915 |
| 0.429064 | 1.42484 |
| 0.429797 | 1.424766 |
| 0.430531 | 1.424691 |
| 0.431266 | 1.424618 |
| 0.432003 | 1.424544 |
| 0.43274 | 1.424471 |
| 0.433479 | 1.424398 |
| 0.43422 | 1.424325 |
| 0.434961 | 1.424252 |
| 0.435704 | 1.42418 |
| 0.436448 | 1.424108 |
| 0.437193 | 1.424036 |
| 0.43794 | 1.423965 |
| 0.438688 | 1.423894 |
| 0.439437 | 1.423823 |
| 0.440187 | 1.423752 |
| 0.440939 | 1.423682 |
| 0.441692 | 1.423612 |
| 0.442446 | 1.423542 |
| 0.443202 | 1.423473 |
| 0.443959 | 1.423403 |
| 0.444717 | 1.423334 |
| 0.445477 | 1.423266 |
| 0.446237 | 1.423197 |
| 0.446999 | 1.423129 |
| 0.447763 | 1.423061 |
| 0.448527 | 1.422993 |
| 0.449293 | 1.422926 |
| 0.450061 | 1.422859 |
| 0.450829 | 1.422792 |
| 0.451599 | 1.422725 |
| 0.45237 | 1.422659 |
| 0.453143 | 1.422593 |
| 0.453917 | 1.422527 |
| 0.454692 | 1.422461 |
| 0.455468 | 1.422396 |
| 0.456246 | 1.422331 |
| 0.457025 | 1.422266 |
| 0.457806 | 1.422201 |
| 0.458588 | 1.422137 |
| 0.459371 | 1.422073 |
| 0.460155 | 1.422009 |
| 0.460941 | 1.421945 |
| 0.461728 | 1.421882 |
| 0.462517 | 1.421819 |
| 0.463306 | 1.421756 |
| 0.464098 | 1.421693 |
| 0.46489 | 1.421631 |
| 0.465684 | 1.421569 |
| 0.466479 | 1.421507 |
| 0.467276 | 1.421445 |
| 0.468074 | 1.421384 |
| 0.468873 | 1.421323 |
| 0.469674 | 1.421262 |
| 0.470476 | 1.421201 |
| 0.47128 | 1.42114 |
| 0.472084 | 1.42108 |
| 0.472891 | 1.42102 |
| 0.473698 | 1.42096 |
| 0.474507 | 1.420901 |
| 0.475317 | 1.420841 |
| 0.476129 | 1.420782 |
| 0.476942 | 1.420723 |
| 0.477757 | 1.420665 |
| 0.478573 | 1.420606 |
| 0.47939 | 1.420548 |
| 0.480209 | 1.42049 |
| 0.481029 | 1.420432 |
| 0.48185 | 1.420375 |
| 0.482673 | 1.420317 |
| 0.483497 | 1.42026 |
| 0.484323 | 1.420203 |
| 0.48515 | 1.420147 |
| 0.485978 | 1.42009 |
| 0.486808 | 1.420034 |
| 0.48764 | 1.419978 |
| 0.488472 | 1.419922 |
| 0.489307 | 1.419867 |
| 0.490142 | 1.419812 |
| 0.490979 | 1.419756 |
| 0.491818 | 1.419702 |
| 0.492658 | 1.419647 |
| 0.493499 | 1.419592 |
| 0.494342 | 1.419538 |
| 0.495186 | 1.419484 |
| 0.496032 | 1.41943 |
| 0.496879 | 1.419377 |
| 0.497727 | 1.419323 |
| 0.498577 | 1.41927 |
| 0.499429 | 1.419217 |
| 0.500281 | 1.419164 |
| 0.501136 | 1.419112 |
| 0.501992 | 1.419059 |
| 0.502849 | 1.419007 |
| 0.503708 | 1.418955 |
| 0.504568 | 1.418903 |
| 0.505429 | 1.418852 |
| 0.506293 | 1.4188 |
| 0.507157 | 1.418749 |
| 0.508023 | 1.418698 |
| 0.508891 | 1.418647 |
| 0.50976 | 1.418597 |
| 0.51063 | 1.418546 |
| 0.511502 | 1.418496 |
| 0.512376 | 1.418446 |
| 0.513251 | 1.418396 |
| 0.514127 | 1.418347 |
| 0.515005 | 1.418297 |
| 0.515885 | 1.418248 |
| 0.516766 | 1.418199 |
| 0.517648 | 1.41815 |
| 0.518532 | 1.418102 |
| 0.519418 | 1.418053 |
| 0.520305 | 1.418005 |
| 0.521193 | 1.417957 |
| 0.522084 | 1.417909 |
| 0.522975 | 1.417862 |
| 0.523868 | 1.417814 |
| 0.524763 | 1.417767 |
| 0.525659 | 1.41772 |
| 0.526557 | 1.417673 |
| 0.527456 | 1.417626 |
| 0.528357 | 1.417579 |
| 0.529259 | 1.417533 |
| 0.530163 | 1.417487 |
| 0.531068 | 1.417441 |
| 0.531975 | 1.417395 |
| 0.532884 | 1.417349 |
| 0.533794 | 1.417304 |
| 0.534705 | 1.417259 |
| 0.535618 | 1.417213 |
| 0.536533 | 1.417169 |
| 0.537449 | 1.417124 |
| 0.538367 | 1.417079 |
| 0.539286 | 1.417035 |
| 0.540207 | 1.416991 |
| 0.54113 | 1.416946 |
| 0.542054 | 1.416903 |
| 0.54298 | 1.416859 |
| 0.543907 | 1.416815 |
| 0.544836 | 1.416772 |
| 0.545766 | 1.416729 |
| 0.546698 | 1.416686 |
| 0.547632 | 1.416643 |
| 0.548567 | 1.4166 |
| 0.549504 | 1.416558 |
| 0.550442 | 1.416515 |
| 0.551382 | 1.416473 |
| 0.552324 | 1.416431 |
| 0.553267 | 1.416389 |
| 0.554212 | 1.416348 |
| 0.555158 | 1.416306 |
| 0.556106 | 1.416265 |
| 0.557056 | 1.416224 |
| 0.558007 | 1.416183 |
| 0.55896 | 1.416142 |
| 0.559915 | 1.416101 |
| 0.560871 | 1.416061 |
| 0.561829 | 1.41602 |
| 0.562788 | 1.41598 |
| 0.563749 | 1.41594 |
| 0.564712 | 1.4159 |
| 0.565676 | 1.41586 |
| 0.566642 | 1.415821 |
| 0.56761 | 1.415781 |
| 0.568579 | 1.415742 |
| 0.56955 | 1.415703 |
| 0.570523 | 1.415664 |
| 0.571497 | 1.415625 |
| 0.572473 | 1.415587 |
| 0.573451 | 1.415548 |
| 0.57443 | 1.41551 |
| 0.575411 | 1.415472 |
| 0.576394 | 1.415434 |
| 0.577378 | 1.415396 |
| 0.578364 | 1.415358 |
| 0.579352 | 1.415321 |
| 0.580341 | 1.415283 |
| 0.581332 | 1.415246 |
| 0.582325 | 1.415209 |
| 0.58332 | 1.415172 |
| 0.584316 | 1.415135 |
| 0.585314 | 1.415098 |
| 0.586313 | 1.415062 |
| 0.587314 | 1.415026 |
| 0.588317 | 1.414989 |
| 0.589322 | 1.414953 |
| 0.590328 | 1.414917 |
| 0.591337 | 1.414882 |
| 0.592346 | 1.414846 |
| 0.593358 | 1.41481 |
| 0.594371 | 1.414775 |
| 0.595386 | 1.41474 |
| 0.596403 | 1.414705 |
| 0.597421 | 1.41467 |
| 0.598442 | 1.414635 |
| 0.599464 | 1.4146 |
| 0.600487 | 1.414566 |
| 0.601513 | 1.414532 |
| 0.60254 | 1.414497 |
| 0.603569 | 1.414463 |
| 0.6046 | 1.414429 |
| 0.605632 | 1.414396 |
| 0.606667 | 1.414362 |
| 0.607703 | 1.414328 |
| 0.60874 | 1.414295 |
| 0.60978 | 1.414262 |
| 0.610821 | 1.414228 |
| 0.611864 | 1.414195 |
| 0.612909 | 1.414163 |
| 0.613956 | 1.41413 |
| 0.615004 | 1.414097 |
| 0.616055 | 1.414065 |
| 0.617107 | 1.414032 |
| 0.618161 | 1.414 |
| 0.619216 | 1.413968 |
| 0.620274 | 1.413936 |
| 0.621333 | 1.413904 |
| 0.622394 | 1.413873 |
| 0.623457 | 1.413841 |
| 0.624522 | 1.41381 |
| 0.625588 | 1.413778 |
| 0.626656 | 1.413747 |
| 0.627727 | 1.413716 |
| 0.628799 | 1.413685 |
| 0.629872 | 1.413655 |
| 0.630948 | 1.413624 |
| 0.632026 | 1.413593 |
| 0.633105 | 1.413563 |
| 0.634186 | 1.413533 |
| 0.635269 | 1.413502 |
| 0.636354 | 1.413472 |
| 0.637441 | 1.413442 |
| 0.638529 | 1.413413 |
| 0.63962 | 1.413383 |
| 0.640712 | 1.413353 |
| 0.641806 | 1.413324 |
| 0.642902 | 1.413295 |
| 0.644 | 1.413266 |
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
- —
313 K (40 °C). See the original publication for the expression for n(λ,T).