Optical constants
Refractive index of C6H12 (Cyclohexane)
Kerl and Varchmin 1995: 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
- 1.40316
- Extinction coefficient k
- 0
- Permittivity ε1
- 1.96887
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- —
- Chromatic dispersion dn/dλ
- -0.0350947 µm⁻¹
- Group index ng
- 1.42378
- Group velocity dispersion
- 71.5539 fs²/mm
- Dispersion parameter D
- -390.365 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: 333 K; n 0.326–0.644 µm
c6h12 = ls.fetch_refractiveindex("organic", "cyclohexane", "Kerl-333K", 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_5cde9c5d47f8/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-1995-333k).
# ... 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 | 1.39630217 |
| C2 | -0.00405497 |
| C3 | -1.0 |
| C4 | 0.00475141 |
| 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 | 1.428572 |
| 0.326557 | 1.428441 |
| 0.327114 | 1.42831 |
| 0.327673 | 1.42818 |
| 0.328233 | 1.42805 |
| 0.328793 | 1.427921 |
| 0.329355 | 1.427792 |
| 0.329917 | 1.427664 |
| 0.33048 | 1.427536 |
| 0.331045 | 1.427409 |
| 0.33161 | 1.427282 |
| 0.332176 | 1.427156 |
| 0.332744 | 1.42703 |
| 0.333312 | 1.426905 |
| 0.333881 | 1.42678 |
| 0.334451 | 1.426655 |
| 0.335022 | 1.426531 |
| 0.335595 | 1.426408 |
| 0.336168 | 1.426284 |
| 0.336742 | 1.426162 |
| 0.337317 | 1.42604 |
| 0.337893 | 1.425918 |
| 0.33847 | 1.425796 |
| 0.339048 | 1.425676 |
| 0.339627 | 1.425555 |
| 0.340207 | 1.425435 |
| 0.340788 | 1.425316 |
| 0.34137 | 1.425197 |
| 0.341953 | 1.425078 |
| 0.342537 | 1.42496 |
| 0.343122 | 1.424842 |
| 0.343708 | 1.424725 |
| 0.344295 | 1.424608 |
| 0.344883 | 1.424491 |
| 0.345472 | 1.424375 |
| 0.346062 | 1.42426 |
| 0.346653 | 1.424144 |
| 0.347245 | 1.42403 |
| 0.347838 | 1.423915 |
| 0.348432 | 1.423801 |
| 0.349027 | 1.423688 |
| 0.349623 | 1.423575 |
| 0.35022 | 1.423462 |
| 0.350818 | 1.42335 |
| 0.351417 | 1.423238 |
| 0.352017 | 1.423127 |
| 0.352618 | 1.423016 |
| 0.35322 | 1.422905 |
| 0.353824 | 1.422795 |
| 0.354428 | 1.422685 |
| 0.355033 | 1.422576 |
| 0.355639 | 1.422467 |
| 0.356247 | 1.422358 |
| 0.356855 | 1.42225 |
| 0.357464 | 1.422143 |
| 0.358075 | 1.422035 |
| 0.358686 | 1.421928 |
| 0.359299 | 1.421822 |
| 0.359913 | 1.421716 |
| 0.360527 | 1.42161 |
| 0.361143 | 1.421504 |
| 0.36176 | 1.421399 |
| 0.362377 | 1.421295 |
| 0.362996 | 1.421191 |
| 0.363616 | 1.421087 |
| 0.364237 | 1.420984 |
| 0.364859 | 1.42088 |
| 0.365482 | 1.420778 |
| 0.366106 | 1.420676 |
| 0.366731 | 1.420574 |
| 0.367358 | 1.420472 |
| 0.367985 | 1.420371 |
| 0.368614 | 1.42027 |
| 0.369243 | 1.42017 |
| 0.369874 | 1.42007 |
| 0.370505 | 1.41997 |
| 0.371138 | 1.419871 |
| 0.371772 | 1.419772 |
| 0.372407 | 1.419674 |
| 0.373043 | 1.419575 |
| 0.37368 | 1.419478 |
| 0.374318 | 1.41938 |
| 0.374957 | 1.419283 |
| 0.375597 | 1.419187 |
| 0.376239 | 1.41909 |
| 0.376881 | 1.418994 |
| 0.377525 | 1.418899 |
| 0.37817 | 1.418803 |
| 0.378815 | 1.418708 |
| 0.379462 | 1.418614 |
| 0.38011 | 1.41852 |
| 0.380759 | 1.418426 |
| 0.38141 | 1.418332 |
| 0.382061 | 1.418239 |
| 0.382714 | 1.418146 |
| 0.383367 | 1.418054 |
| 0.384022 | 1.417962 |
| 0.384678 | 1.41787 |
| 0.385334 | 1.417779 |
| 0.385993 | 1.417688 |
| 0.386652 | 1.417597 |
| 0.387312 | 1.417506 |
| 0.387973 | 1.417416 |
| 0.388636 | 1.417327 |
| 0.3893 | 1.417237 |
| 0.389964 | 1.417148 |
| 0.39063 | 1.41706 |
| 0.391298 | 1.416971 |
| 0.391966 | 1.416883 |
| 0.392635 | 1.416795 |
| 0.393306 | 1.416708 |
| 0.393977 | 1.416621 |
| 0.39465 | 1.416534 |
| 0.395324 | 1.416448 |
| 0.395999 | 1.416362 |
| 0.396675 | 1.416276 |
| 0.397353 | 1.416191 |
| 0.398031 | 1.416105 |
| 0.398711 | 1.416021 |
| 0.399392 | 1.415936 |
| 0.400074 | 1.415852 |
| 0.400757 | 1.415768 |
| 0.401442 | 1.415685 |
| 0.402127 | 1.415601 |
| 0.402814 | 1.415518 |
| 0.403502 | 1.415436 |
| 0.404191 | 1.415354 |
| 0.404881 | 1.415272 |
| 0.405573 | 1.41519 |
| 0.406265 | 1.415109 |
| 0.406959 | 1.415027 |
| 0.407654 | 1.414947 |
| 0.40835 | 1.414866 |
| 0.409047 | 1.414786 |
| 0.409746 | 1.414706 |
| 0.410446 | 1.414627 |
| 0.411147 | 1.414548 |
| 0.411849 | 1.414469 |
| 0.412552 | 1.41439 |
| 0.413257 | 1.414312 |
| 0.413962 | 1.414234 |
| 0.414669 | 1.414156 |
| 0.415377 | 1.414078 |
| 0.416087 | 1.414001 |
| 0.416797 | 1.413924 |
| 0.417509 | 1.413848 |
| 0.418222 | 1.413771 |
| 0.418936 | 1.413695 |
| 0.419652 | 1.41362 |
| 0.420368 | 1.413544 |
| 0.421086 | 1.413469 |
| 0.421805 | 1.413394 |
| 0.422526 | 1.41332 |
| 0.423247 | 1.413245 |
| 0.42397 | 1.413171 |
| 0.424694 | 1.413097 |
| 0.425419 | 1.413024 |
| 0.426146 | 1.412951 |
| 0.426874 | 1.412878 |
| 0.427603 | 1.412805 |
| 0.428333 | 1.412733 |
| 0.429064 | 1.412661 |
| 0.429797 | 1.412589 |
| 0.430531 | 1.412517 |
| 0.431266 | 1.412446 |
| 0.432003 | 1.412375 |
| 0.43274 | 1.412304 |
| 0.433479 | 1.412234 |
| 0.43422 | 1.412164 |
| 0.434961 | 1.412094 |
| 0.435704 | 1.412024 |
| 0.436448 | 1.411955 |
| 0.437193 | 1.411886 |
| 0.43794 | 1.411817 |
| 0.438688 | 1.411748 |
| 0.439437 | 1.41168 |
| 0.440187 | 1.411612 |
| 0.440939 | 1.411544 |
| 0.441692 | 1.411476 |
| 0.442446 | 1.411409 |
| 0.443202 | 1.411342 |
| 0.443959 | 1.411275 |
| 0.444717 | 1.411209 |
| 0.445477 | 1.411142 |
| 0.446237 | 1.411076 |
| 0.446999 | 1.41101 |
| 0.447763 | 1.410945 |
| 0.448527 | 1.41088 |
| 0.449293 | 1.410815 |
| 0.450061 | 1.41075 |
| 0.450829 | 1.410685 |
| 0.451599 | 1.410621 |
| 0.45237 | 1.410557 |
| 0.453143 | 1.410493 |
| 0.453917 | 1.410429 |
| 0.454692 | 1.410366 |
| 0.455468 | 1.410303 |
| 0.456246 | 1.41024 |
| 0.457025 | 1.410178 |
| 0.457806 | 1.410115 |
| 0.458588 | 1.410053 |
| 0.459371 | 1.409991 |
| 0.460155 | 1.40993 |
| 0.460941 | 1.409868 |
| 0.461728 | 1.409807 |
| 0.462517 | 1.409746 |
| 0.463306 | 1.409685 |
| 0.464098 | 1.409625 |
| 0.46489 | 1.409565 |
| 0.465684 | 1.409504 |
| 0.466479 | 1.409445 |
| 0.467276 | 1.409385 |
| 0.468074 | 1.409326 |
| 0.468873 | 1.409267 |
| 0.469674 | 1.409208 |
| 0.470476 | 1.409149 |
| 0.47128 | 1.409091 |
| 0.472084 | 1.409032 |
| 0.472891 | 1.408974 |
| 0.473698 | 1.408917 |
| 0.474507 | 1.408859 |
| 0.475317 | 1.408802 |
| 0.476129 | 1.408745 |
| 0.476942 | 1.408688 |
| 0.477757 | 1.408631 |
| 0.478573 | 1.408575 |
| 0.47939 | 1.408519 |
| 0.480209 | 1.408463 |
| 0.481029 | 1.408407 |
| 0.48185 | 1.408351 |
| 0.482673 | 1.408296 |
| 0.483497 | 1.408241 |
| 0.484323 | 1.408186 |
| 0.48515 | 1.408131 |
| 0.485978 | 1.408076 |
| 0.486808 | 1.408022 |
| 0.48764 | 1.407968 |
| 0.488472 | 1.407914 |
| 0.489307 | 1.40786 |
| 0.490142 | 1.407807 |
| 0.490979 | 1.407754 |
| 0.491818 | 1.407701 |
| 0.492658 | 1.407648 |
| 0.493499 | 1.407595 |
| 0.494342 | 1.407543 |
| 0.495186 | 1.40749 |
| 0.496032 | 1.407438 |
| 0.496879 | 1.407386 |
| 0.497727 | 1.407335 |
| 0.498577 | 1.407283 |
| 0.499429 | 1.407232 |
| 0.500281 | 1.407181 |
| 0.501136 | 1.40713 |
| 0.501992 | 1.40708 |
| 0.502849 | 1.407029 |
| 0.503708 | 1.406979 |
| 0.504568 | 1.406929 |
| 0.505429 | 1.406879 |
| 0.506293 | 1.406829 |
| 0.507157 | 1.40678 |
| 0.508023 | 1.40673 |
| 0.508891 | 1.406681 |
| 0.50976 | 1.406632 |
| 0.51063 | 1.406584 |
| 0.511502 | 1.406535 |
| 0.512376 | 1.406487 |
| 0.513251 | 1.406439 |
| 0.514127 | 1.406391 |
| 0.515005 | 1.406343 |
| 0.515885 | 1.406295 |
| 0.516766 | 1.406248 |
| 0.517648 | 1.406201 |
| 0.518532 | 1.406153 |
| 0.519418 | 1.406107 |
| 0.520305 | 1.40606 |
| 0.521193 | 1.406013 |
| 0.522084 | 1.405967 |
| 0.522975 | 1.405921 |
| 0.523868 | 1.405875 |
| 0.524763 | 1.405829 |
| 0.525659 | 1.405784 |
| 0.526557 | 1.405738 |
| 0.527456 | 1.405693 |
| 0.528357 | 1.405648 |
| 0.529259 | 1.405603 |
| 0.530163 | 1.405558 |
| 0.531068 | 1.405514 |
| 0.531975 | 1.405469 |
| 0.532884 | 1.405425 |
| 0.533794 | 1.405381 |
| 0.534705 | 1.405337 |
| 0.535618 | 1.405293 |
| 0.536533 | 1.40525 |
| 0.537449 | 1.405207 |
| 0.538367 | 1.405163 |
| 0.539286 | 1.40512 |
| 0.540207 | 1.405078 |
| 0.54113 | 1.405035 |
| 0.542054 | 1.404992 |
| 0.54298 | 1.40495 |
| 0.543907 | 1.404908 |
| 0.544836 | 1.404866 |
| 0.545766 | 1.404824 |
| 0.546698 | 1.404782 |
| 0.547632 | 1.404741 |
| 0.548567 | 1.4047 |
| 0.549504 | 1.404658 |
| 0.550442 | 1.404617 |
| 0.551382 | 1.404576 |
| 0.552324 | 1.404536 |
| 0.553267 | 1.404495 |
| 0.554212 | 1.404455 |
| 0.555158 | 1.404415 |
| 0.556106 | 1.404375 |
| 0.557056 | 1.404335 |
| 0.558007 | 1.404295 |
| 0.55896 | 1.404255 |
| 0.559915 | 1.404216 |
| 0.560871 | 1.404177 |
| 0.561829 | 1.404137 |
| 0.562788 | 1.404098 |
| 0.563749 | 1.40406 |
| 0.564712 | 1.404021 |
| 0.565676 | 1.403982 |
| 0.566642 | 1.403944 |
| 0.56761 | 1.403906 |
| 0.568579 | 1.403868 |
| 0.56955 | 1.40383 |
| 0.570523 | 1.403792 |
| 0.571497 | 1.403755 |
| 0.572473 | 1.403717 |
| 0.573451 | 1.40368 |
| 0.57443 | 1.403643 |
| 0.575411 | 1.403606 |
| 0.576394 | 1.403569 |
| 0.577378 | 1.403532 |
| 0.578364 | 1.403495 |
| 0.579352 | 1.403459 |
| 0.580341 | 1.403423 |
| 0.581332 | 1.403386 |
| 0.582325 | 1.40335 |
| 0.58332 | 1.403315 |
| 0.584316 | 1.403279 |
| 0.585314 | 1.403243 |
| 0.586313 | 1.403208 |
| 0.587314 | 1.403173 |
| 0.588317 | 1.403137 |
| 0.589322 | 1.403102 |
| 0.590328 | 1.403068 |
| 0.591337 | 1.403033 |
| 0.592346 | 1.402998 |
| 0.593358 | 1.402964 |
| 0.594371 | 1.402929 |
| 0.595386 | 1.402895 |
| 0.596403 | 1.402861 |
| 0.597421 | 1.402827 |
| 0.598442 | 1.402793 |
| 0.599464 | 1.40276 |
| 0.600487 | 1.402726 |
| 0.601513 | 1.402693 |
| 0.60254 | 1.40266 |
| 0.603569 | 1.402627 |
| 0.6046 | 1.402594 |
| 0.605632 | 1.402561 |
| 0.606667 | 1.402528 |
| 0.607703 | 1.402495 |
| 0.60874 | 1.402463 |
| 0.60978 | 1.402431 |
| 0.610821 | 1.402398 |
| 0.611864 | 1.402366 |
| 0.612909 | 1.402334 |
| 0.613956 | 1.402303 |
| 0.615004 | 1.402271 |
| 0.616055 | 1.402239 |
| 0.617107 | 1.402208 |
| 0.618161 | 1.402177 |
| 0.619216 | 1.402146 |
| 0.620274 | 1.402114 |
| 0.621333 | 1.402084 |
| 0.622394 | 1.402053 |
| 0.623457 | 1.402022 |
| 0.624522 | 1.401992 |
| 0.625588 | 1.401961 |
| 0.626656 | 1.401931 |
| 0.627727 | 1.401901 |
| 0.628799 | 1.401871 |
| 0.629872 | 1.401841 |
| 0.630948 | 1.401811 |
| 0.632026 | 1.401781 |
| 0.633105 | 1.401751 |
| 0.634186 | 1.401722 |
| 0.635269 | 1.401693 |
| 0.636354 | 1.401663 |
| 0.637441 | 1.401634 |
| 0.638529 | 1.401605 |
| 0.63962 | 1.401576 |
| 0.640712 | 1.401548 |
| 0.641806 | 1.401519 |
| 0.642902 | 1.401491 |
| 0.644 | 1.401462 |
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
- —
333 K (60 °C). See the original publication for the expression for n(λ,T).