Optical constants
Refractive index of C6H12 (Cyclohexane)
Kozma et al. 2005: n 0.230–0.641 µm
- Data
- formula 2
- Range
- 0.23–0.6407 µm
- Temperature
- 295 K
- Licence
- CC0-1.0
Plot
Click the plot to set the calculator wavelength.
At one wavelength
- Refractive index n
- 1.42539
- Extinction coefficient k
- 0
- Permittivity ε1
- 2.03174
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- —
- Chromatic dispersion dn/dλ
- -0.0389245 µm⁻¹
- Group index ng
- 1.44826
- Group velocity dispersion
- 74.2959 fs²/mm
- Dispersion parameter D
- -405.323 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): Kozma et al. 2005: n 0.230–0.641 µm
c6h12 = ls.fetch_refractiveindex("organic", "cyclohexane", "Kozma", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(c6h12.range_nm) # (230, 640.7) 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_d84a47b5dbac/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/kozma-2005).
# ... 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=640, 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"]).
import json, urllib.request
import lightsmith as ls
url = "https://materials.lightsmith.dev/v1/datasets/ds_d84a47b5dbac/lightsmith?model=drude_lorentz"
c6h12_dl = ls.DrudeLorentz.model_validate(json.load(urllib.request.urlopen(url)))
A dispersive Drude–Lorentz model for time-domain solvers.
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
Sellmeier (C in µm²) (formula 2), λ in µmValid from 0.23 to 0.6407 µm.
Coefficients as stored
| Ci | Value |
|---|---|
| C1 | 0.0 |
| C2 | 0.98901 |
| C3 | 0.01023416369 |
| C4 | 0.01121 |
| C5 | 0.03623317709 |
Comments and conditions
Conditions
- temperature
- 295 K
References
- doi:10.1364/josab.22.001479 Direct measurement of the group-velocity mismatch and derivation of the refractive-index dispersion for a variety of solvents in the ultraviolet, Journal of the Optical Society of America B (2005)
Cite
Ida Z. Kozma, Patrizia Krok and Eberhard Riedle. Direct measurement of the group-velocity mismatch and derivation of the refractive-index dispersion for a variety of solvents in the ultraviolet. Journal of the Optical Society of America B, 22, 1479 (2005), doi:10.1364/josab.22.001479; 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 |
|---|---|
| 0.23 | 1.503935 |
| 0.230591 | 1.503305 |
| 0.231184 | 1.502681 |
| 0.231779 | 1.502064 |
| 0.232374 | 1.501454 |
| 0.232972 | 1.500851 |
| 0.233571 | 1.500253 |
| 0.234171 | 1.499662 |
| 0.234773 | 1.499078 |
| 0.235377 | 1.498499 |
| 0.235982 | 1.497926 |
| 0.236589 | 1.497358 |
| 0.237197 | 1.496797 |
| 0.237807 | 1.496241 |
| 0.238418 | 1.49569 |
| 0.239031 | 1.495145 |
| 0.239646 | 1.494605 |
| 0.240262 | 1.49407 |
| 0.240879 | 1.49354 |
| 0.241499 | 1.493015 |
| 0.24212 | 1.492495 |
| 0.242742 | 1.491979 |
| 0.243366 | 1.491469 |
| 0.243992 | 1.490963 |
| 0.244619 | 1.490461 |
| 0.245248 | 1.489965 |
| 0.245879 | 1.489472 |
| 0.246511 | 1.488984 |
| 0.247144 | 1.4885 |
| 0.24778 | 1.48802 |
| 0.248417 | 1.487545 |
| 0.249055 | 1.487073 |
| 0.249696 | 1.486606 |
| 0.250338 | 1.486142 |
| 0.250981 | 1.485683 |
| 0.251627 | 1.485227 |
| 0.252273 | 1.484775 |
| 0.252922 | 1.484327 |
| 0.253572 | 1.483882 |
| 0.254224 | 1.483441 |
| 0.254878 | 1.483004 |
| 0.255533 | 1.482571 |
| 0.25619 | 1.48214 |
| 0.256849 | 1.481714 |
| 0.257509 | 1.48129 |
| 0.258171 | 1.480871 |
| 0.258835 | 1.480454 |
| 0.2595 | 1.480041 |
| 0.260167 | 1.479631 |
| 0.260836 | 1.479224 |
| 0.261507 | 1.47882 |
| 0.262179 | 1.47842 |
| 0.262853 | 1.478022 |
| 0.263529 | 1.477628 |
| 0.264207 | 1.477237 |
| 0.264886 | 1.476849 |
| 0.265567 | 1.476463 |
| 0.26625 | 1.476081 |
| 0.266934 | 1.475701 |
| 0.26762 | 1.475325 |
| 0.268308 | 1.474951 |
| 0.268998 | 1.47458 |
| 0.26969 | 1.474211 |
| 0.270383 | 1.473846 |
| 0.271078 | 1.473483 |
| 0.271775 | 1.473123 |
| 0.272474 | 1.472766 |
| 0.273174 | 1.472411 |
| 0.273877 | 1.472058 |
| 0.274581 | 1.471709 |
| 0.275287 | 1.471362 |
| 0.275994 | 1.471017 |
| 0.276704 | 1.470675 |
| 0.277415 | 1.470335 |
| 0.278129 | 1.469998 |
| 0.278844 | 1.469663 |
| 0.279561 | 1.469331 |
| 0.280279 | 1.469001 |
| 0.281 | 1.468673 |
| 0.281722 | 1.468348 |
| 0.282447 | 1.468025 |
| 0.283173 | 1.467704 |
| 0.283901 | 1.467385 |
| 0.284631 | 1.467069 |
| 0.285362 | 1.466755 |
| 0.286096 | 1.466443 |
| 0.286832 | 1.466133 |
| 0.287569 | 1.465826 |
| 0.288308 | 1.46552 |
| 0.289049 | 1.465217 |
| 0.289793 | 1.464916 |
| 0.290538 | 1.464617 |
| 0.291285 | 1.46432 |
| 0.292033 | 1.464025 |
| 0.292784 | 1.463732 |
| 0.293537 | 1.46344 |
| 0.294292 | 1.463151 |
| 0.295048 | 1.462864 |
| 0.295807 | 1.462579 |
| 0.296567 | 1.462296 |
| 0.29733 | 1.462015 |
| 0.298094 | 1.461735 |
| 0.298861 | 1.461458 |
| 0.299629 | 1.461182 |
| 0.300399 | 1.460908 |
| 0.301171 | 1.460636 |
| 0.301946 | 1.460366 |
| 0.302722 | 1.460098 |
| 0.3035 | 1.459831 |
| 0.304281 | 1.459567 |
| 0.305063 | 1.459303 |
| 0.305847 | 1.459042 |
| 0.306633 | 1.458783 |
| 0.307422 | 1.458525 |
| 0.308212 | 1.458269 |
| 0.309005 | 1.458014 |
| 0.309799 | 1.457761 |
| 0.310595 | 1.45751 |
| 0.311394 | 1.457261 |
| 0.312195 | 1.457013 |
| 0.312997 | 1.456766 |
| 0.313802 | 1.456522 |
| 0.314609 | 1.456279 |
| 0.315417 | 1.456037 |
| 0.316228 | 1.455797 |
| 0.317041 | 1.455559 |
| 0.317856 | 1.455322 |
| 0.318674 | 1.455087 |
| 0.319493 | 1.454853 |
| 0.320314 | 1.454621 |
| 0.321138 | 1.45439 |
| 0.321963 | 1.45416 |
| 0.322791 | 1.453933 |
| 0.323621 | 1.453706 |
| 0.324453 | 1.453481 |
| 0.325287 | 1.453258 |
| 0.326124 | 1.453036 |
| 0.326962 | 1.452815 |
| 0.327803 | 1.452596 |
| 0.328645 | 1.452378 |
| 0.32949 | 1.452161 |
| 0.330337 | 1.451946 |
| 0.331187 | 1.451732 |
| 0.332038 | 1.45152 |
| 0.332892 | 1.451309 |
| 0.333748 | 1.451099 |
| 0.334606 | 1.45089 |
| 0.335466 | 1.450683 |
| 0.336328 | 1.450477 |
| 0.337193 | 1.450273 |
| 0.33806 | 1.450069 |
| 0.338929 | 1.449867 |
| 0.3398 | 1.449666 |
| 0.340674 | 1.449467 |
| 0.34155 | 1.449269 |
| 0.342428 | 1.449072 |
| 0.343308 | 1.448876 |
| 0.344191 | 1.448681 |
| 0.345076 | 1.448488 |
| 0.345963 | 1.448295 |
| 0.346852 | 1.448104 |
| 0.347744 | 1.447914 |
| 0.348638 | 1.447726 |
| 0.349534 | 1.447538 |
| 0.350433 | 1.447352 |
| 0.351334 | 1.447167 |
| 0.352237 | 1.446982 |
| 0.353143 | 1.446799 |
| 0.354051 | 1.446618 |
| 0.354961 | 1.446437 |
| 0.355874 | 1.446257 |
| 0.356788 | 1.446079 |
| 0.357706 | 1.445901 |
| 0.358625 | 1.445725 |
| 0.359547 | 1.445549 |
| 0.360472 | 1.445375 |
| 0.361398 | 1.445202 |
| 0.362328 | 1.44503 |
| 0.363259 | 1.444859 |
| 0.364193 | 1.444689 |
| 0.365129 | 1.44452 |
| 0.366068 | 1.444352 |
| 0.367009 | 1.444185 |
| 0.367953 | 1.444019 |
| 0.368899 | 1.443854 |
| 0.369847 | 1.44369 |
| 0.370798 | 1.443526 |
| 0.371751 | 1.443364 |
| 0.372707 | 1.443203 |
| 0.373665 | 1.443043 |
| 0.374626 | 1.442884 |
| 0.375589 | 1.442726 |
| 0.376555 | 1.442569 |
| 0.377523 | 1.442412 |
| 0.378493 | 1.442257 |
| 0.379466 | 1.442102 |
| 0.380442 | 1.441949 |
| 0.38142 | 1.441796 |
| 0.382401 | 1.441645 |
| 0.383384 | 1.441494 |
| 0.384369 | 1.441344 |
| 0.385358 | 1.441195 |
| 0.386348 | 1.441047 |
| 0.387342 | 1.440899 |
| 0.388337 | 1.440753 |
| 0.389336 | 1.440607 |
| 0.390337 | 1.440463 |
| 0.39134 | 1.440319 |
| 0.392346 | 1.440176 |
| 0.393355 | 1.440034 |
| 0.394366 | 1.439892 |
| 0.39538 | 1.439752 |
| 0.396397 | 1.439612 |
| 0.397416 | 1.439473 |
| 0.398438 | 1.439335 |
| 0.399462 | 1.439198 |
| 0.400489 | 1.439062 |
| 0.401519 | 1.438926 |
| 0.402551 | 1.438791 |
| 0.403586 | 1.438657 |
| 0.404623 | 1.438524 |
| 0.405664 | 1.438392 |
| 0.406707 | 1.43826 |
| 0.407752 | 1.438129 |
| 0.4088 | 1.437999 |
| 0.409851 | 1.437869 |
| 0.410905 | 1.437741 |
| 0.411962 | 1.437613 |
| 0.413021 | 1.437486 |
| 0.414083 | 1.437359 |
| 0.415147 | 1.437233 |
| 0.416214 | 1.437109 |
| 0.417284 | 1.436984 |
| 0.418357 | 1.436861 |
| 0.419433 | 1.436738 |
| 0.420511 | 1.436616 |
| 0.421592 | 1.436494 |
| 0.422676 | 1.436374 |
| 0.423763 | 1.436254 |
| 0.424852 | 1.436134 |
| 0.425945 | 1.436016 |
| 0.42704 | 1.435898 |
| 0.428137 | 1.435781 |
| 0.429238 | 1.435664 |
| 0.430342 | 1.435548 |
| 0.431448 | 1.435433 |
| 0.432557 | 1.435318 |
| 0.433669 | 1.435204 |
| 0.434784 | 1.435091 |
| 0.435902 | 1.434978 |
| 0.437023 | 1.434866 |
| 0.438146 | 1.434755 |
| 0.439273 | 1.434644 |
| 0.440402 | 1.434534 |
| 0.441534 | 1.434425 |
| 0.44267 | 1.434316 |
| 0.443808 | 1.434208 |
| 0.444949 | 1.4341 |
| 0.446092 | 1.433993 |
| 0.447239 | 1.433887 |
| 0.448389 | 1.433781 |
| 0.449542 | 1.433676 |
| 0.450698 | 1.433571 |
| 0.451856 | 1.433467 |
| 0.453018 | 1.433364 |
| 0.454183 | 1.433261 |
| 0.45535 | 1.433159 |
| 0.456521 | 1.433057 |
| 0.457695 | 1.432956 |
| 0.458871 | 1.432856 |
| 0.460051 | 1.432756 |
| 0.461234 | 1.432656 |
| 0.46242 | 1.432558 |
| 0.463609 | 1.432459 |
| 0.464801 | 1.432362 |
| 0.465995 | 1.432264 |
| 0.467194 | 1.432168 |
| 0.468395 | 1.432072 |
| 0.469599 | 1.431976 |
| 0.470806 | 1.431881 |
| 0.472017 | 1.431787 |
| 0.47323 | 1.431693 |
| 0.474447 | 1.4316 |
| 0.475666 | 1.431507 |
| 0.476889 | 1.431415 |
| 0.478115 | 1.431323 |
| 0.479345 | 1.431231 |
| 0.480577 | 1.431141 |
| 0.481813 | 1.43105 |
| 0.483051 | 1.430961 |
| 0.484293 | 1.430871 |
| 0.485538 | 1.430783 |
| 0.486786 | 1.430694 |
| 0.488038 | 1.430607 |
| 0.489293 | 1.430519 |
| 0.490551 | 1.430432 |
| 0.491812 | 1.430346 |
| 0.493076 | 1.43026 |
| 0.494344 | 1.430175 |
| 0.495615 | 1.43009 |
| 0.496889 | 1.430006 |
| 0.498166 | 1.429922 |
| 0.499447 | 1.429838 |
| 0.500731 | 1.429755 |
| 0.502019 | 1.429673 |
| 0.503309 | 1.429591 |
| 0.504603 | 1.429509 |
| 0.5059 | 1.429428 |
| 0.507201 | 1.429347 |
| 0.508505 | 1.429267 |
| 0.509812 | 1.429187 |
| 0.511123 | 1.429108 |
| 0.512437 | 1.429029 |
| 0.513755 | 1.42895 |
| 0.515075 | 1.428872 |
| 0.5164 | 1.428794 |
| 0.517727 | 1.428717 |
| 0.519058 | 1.42864 |
| 0.520393 | 1.428564 |
| 0.521731 | 1.428488 |
| 0.523072 | 1.428413 |
| 0.524417 | 1.428338 |
| 0.525765 | 1.428263 |
| 0.527117 | 1.428189 |
| 0.528472 | 1.428115 |
| 0.529831 | 1.428041 |
| 0.531193 | 1.427968 |
| 0.532558 | 1.427895 |
| 0.533927 | 1.427823 |
| 0.5353 | 1.427751 |
| 0.536676 | 1.42768 |
| 0.538056 | 1.427609 |
| 0.539439 | 1.427538 |
| 0.540826 | 1.427468 |
| 0.542217 | 1.427398 |
| 0.543611 | 1.427328 |
| 0.545008 | 1.427259 |
| 0.546409 | 1.427191 |
| 0.547814 | 1.427122 |
| 0.549223 | 1.427054 |
| 0.550635 | 1.426987 |
| 0.55205 | 1.426919 |
| 0.55347 | 1.426852 |
| 0.554892 | 1.426786 |
| 0.556319 | 1.42672 |
| 0.557749 | 1.426654 |
| 0.559183 | 1.426588 |
| 0.560621 | 1.426523 |
| 0.562062 | 1.426459 |
| 0.563507 | 1.426394 |
| 0.564956 | 1.42633 |
| 0.566408 | 1.426267 |
| 0.567865 | 1.426203 |
| 0.569325 | 1.42614 |
| 0.570788 | 1.426078 |
| 0.572256 | 1.426015 |
| 0.573727 | 1.425953 |
| 0.575202 | 1.425892 |
| 0.576681 | 1.425831 |
| 0.578163 | 1.42577 |
| 0.57965 | 1.425709 |
| 0.58114 | 1.425649 |
| 0.582634 | 1.425589 |
| 0.584132 | 1.425529 |
| 0.585634 | 1.42547 |
| 0.587139 | 1.425411 |
| 0.588649 | 1.425352 |
| 0.590162 | 1.425294 |
| 0.591679 | 1.425236 |
| 0.593201 | 1.425178 |
| 0.594726 | 1.425121 |
| 0.596255 | 1.425064 |
| 0.597788 | 1.425007 |
| 0.599324 | 1.42495 |
| 0.600865 | 1.424894 |
| 0.60241 | 1.424838 |
| 0.603959 | 1.424783 |
| 0.605512 | 1.424727 |
| 0.607068 | 1.424672 |
| 0.608629 | 1.424618 |
| 0.610194 | 1.424563 |
| 0.611762 | 1.424509 |
| 0.613335 | 1.424456 |
| 0.614912 | 1.424402 |
| 0.616493 | 1.424349 |
| 0.618078 | 1.424296 |
| 0.619667 | 1.424243 |
| 0.62126 | 1.424191 |
| 0.622857 | 1.424139 |
| 0.624459 | 1.424087 |
| 0.626064 | 1.424036 |
| 0.627674 | 1.423984 |
| 0.629287 | 1.423934 |
| 0.630905 | 1.423883 |
| 0.632527 | 1.423832 |
| 0.634153 | 1.423782 |
| 0.635784 | 1.423732 |
| 0.637418 | 1.423683 |
| 0.639057 | 1.423634 |
| 0.6407 | 1.423585 |
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
- —
22 °C