Optical constants
Refractive index of C5H12 (Pentane)
Kerl and Varchmin 1995: n-Pentane; 293 K; n 0.326–0.644 µm
- Data
- formula 5
- Range
- 0.326–0.644 µm
- Temperature
- 293 K
- Licence
- CC0-1.0
Plot
Click the plot to set the calculator wavelength.
At one wavelength
- Refractive index n
- 1.35852
- Extinction coefficient k
- 0
- Permittivity ε1
- 1.84557
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- —
- Chromatic dispersion dn/dλ
- -0.0307406 µm⁻¹
- Group index ng
- 1.37658
- Group velocity dispersion
- 62.7457 fs²/mm
- Dispersion parameter D
- -342.311 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
# C5H12 (Pentane): Kerl and Varchmin 1995: n-Pentane; 293 K; n 0.326–0.644 µm
c5h12 = ls.fetch_refractiveindex("organic", "pentane", "Kerl-293K", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(c5h12.range_nm) # (326, 644) nm
eps = c5h12.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_bb19b7e9f6c9/lightsmith"
c5h12 = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(c5h12.source) # citation and provenance travel with the data
Any dataset here, as the library's Tabulated material (pentane/kerl-varchmin-1995-293k).
# ... load c5h12 as above, then:
sim = ls.Simulation(
particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=c5h12)],
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 | 1.35254253 |
| C2 | -0.00359105 |
| C3 | -1.0 |
| C4 | 0.00417342 |
| C5 | -2.0 |
Comments and conditions
Conditions
- temperature
- 293 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 | 1.380797 |
| 0.326557 | 1.380682 |
| 0.327114 | 1.380567 |
| 0.327673 | 1.380453 |
| 0.328233 | 1.380339 |
| 0.328793 | 1.380226 |
| 0.329355 | 1.380113 |
| 0.329917 | 1.380001 |
| 0.33048 | 1.379888 |
| 0.331045 | 1.379777 |
| 0.33161 | 1.379666 |
| 0.332176 | 1.379555 |
| 0.332744 | 1.379444 |
| 0.333312 | 1.379334 |
| 0.333881 | 1.379225 |
| 0.334451 | 1.379115 |
| 0.335022 | 1.379007 |
| 0.335595 | 1.378898 |
| 0.336168 | 1.37879 |
| 0.336742 | 1.378683 |
| 0.337317 | 1.378575 |
| 0.337893 | 1.378469 |
| 0.33847 | 1.378362 |
| 0.339048 | 1.378256 |
| 0.339627 | 1.378151 |
| 0.340207 | 1.378045 |
| 0.340788 | 1.377941 |
| 0.34137 | 1.377836 |
| 0.341953 | 1.377732 |
| 0.342537 | 1.377628 |
| 0.343122 | 1.377525 |
| 0.343708 | 1.377422 |
| 0.344295 | 1.37732 |
| 0.344883 | 1.377217 |
| 0.345472 | 1.377116 |
| 0.346062 | 1.377014 |
| 0.346653 | 1.376913 |
| 0.347245 | 1.376813 |
| 0.347838 | 1.376712 |
| 0.348432 | 1.376612 |
| 0.349027 | 1.376513 |
| 0.349623 | 1.376414 |
| 0.35022 | 1.376315 |
| 0.350818 | 1.376216 |
| 0.351417 | 1.376118 |
| 0.352017 | 1.376021 |
| 0.352618 | 1.375923 |
| 0.35322 | 1.375826 |
| 0.353824 | 1.37573 |
| 0.354428 | 1.375633 |
| 0.355033 | 1.375537 |
| 0.355639 | 1.375442 |
| 0.356247 | 1.375347 |
| 0.356855 | 1.375252 |
| 0.357464 | 1.375157 |
| 0.358075 | 1.375063 |
| 0.358686 | 1.374969 |
| 0.359299 | 1.374876 |
| 0.359913 | 1.374783 |
| 0.360527 | 1.37469 |
| 0.361143 | 1.374598 |
| 0.36176 | 1.374506 |
| 0.362377 | 1.374414 |
| 0.362996 | 1.374323 |
| 0.363616 | 1.374232 |
| 0.364237 | 1.374141 |
| 0.364859 | 1.374051 |
| 0.365482 | 1.373961 |
| 0.366106 | 1.373871 |
| 0.366731 | 1.373781 |
| 0.367358 | 1.373692 |
| 0.367985 | 1.373604 |
| 0.368614 | 1.373515 |
| 0.369243 | 1.373427 |
| 0.369874 | 1.37334 |
| 0.370505 | 1.373252 |
| 0.371138 | 1.373165 |
| 0.371772 | 1.373079 |
| 0.372407 | 1.372992 |
| 0.373043 | 1.372906 |
| 0.37368 | 1.37282 |
| 0.374318 | 1.372735 |
| 0.374957 | 1.37265 |
| 0.375597 | 1.372565 |
| 0.376239 | 1.37248 |
| 0.376881 | 1.372396 |
| 0.377525 | 1.372312 |
| 0.37817 | 1.372229 |
| 0.378815 | 1.372146 |
| 0.379462 | 1.372063 |
| 0.38011 | 1.37198 |
| 0.380759 | 1.371898 |
| 0.38141 | 1.371816 |
| 0.382061 | 1.371734 |
| 0.382714 | 1.371653 |
| 0.383367 | 1.371572 |
| 0.384022 | 1.371491 |
| 0.384678 | 1.371411 |
| 0.385334 | 1.37133 |
| 0.385993 | 1.37125 |
| 0.386652 | 1.371171 |
| 0.387312 | 1.371092 |
| 0.387973 | 1.371013 |
| 0.388636 | 1.370934 |
| 0.3893 | 1.370856 |
| 0.389964 | 1.370778 |
| 0.39063 | 1.3707 |
| 0.391298 | 1.370622 |
| 0.391966 | 1.370545 |
| 0.392635 | 1.370468 |
| 0.393306 | 1.370391 |
| 0.393977 | 1.370315 |
| 0.39465 | 1.370239 |
| 0.395324 | 1.370163 |
| 0.395999 | 1.370088 |
| 0.396675 | 1.370013 |
| 0.397353 | 1.369938 |
| 0.398031 | 1.369863 |
| 0.398711 | 1.369789 |
| 0.399392 | 1.369715 |
| 0.400074 | 1.369641 |
| 0.400757 | 1.369567 |
| 0.401442 | 1.369494 |
| 0.402127 | 1.369421 |
| 0.402814 | 1.369348 |
| 0.403502 | 1.369276 |
| 0.404191 | 1.369204 |
| 0.404881 | 1.369132 |
| 0.405573 | 1.36906 |
| 0.406265 | 1.368989 |
| 0.406959 | 1.368918 |
| 0.407654 | 1.368847 |
| 0.40835 | 1.368777 |
| 0.409047 | 1.368706 |
| 0.409746 | 1.368636 |
| 0.410446 | 1.368566 |
| 0.411147 | 1.368497 |
| 0.411849 | 1.368428 |
| 0.412552 | 1.368359 |
| 0.413257 | 1.36829 |
| 0.413962 | 1.368222 |
| 0.414669 | 1.368154 |
| 0.415377 | 1.368086 |
| 0.416087 | 1.368018 |
| 0.416797 | 1.367951 |
| 0.417509 | 1.367883 |
| 0.418222 | 1.367816 |
| 0.418936 | 1.36775 |
| 0.419652 | 1.367683 |
| 0.420368 | 1.367617 |
| 0.421086 | 1.367551 |
| 0.421805 | 1.367486 |
| 0.422526 | 1.36742 |
| 0.423247 | 1.367355 |
| 0.42397 | 1.36729 |
| 0.424694 | 1.367226 |
| 0.425419 | 1.367161 |
| 0.426146 | 1.367097 |
| 0.426874 | 1.367033 |
| 0.427603 | 1.366969 |
| 0.428333 | 1.366906 |
| 0.429064 | 1.366843 |
| 0.429797 | 1.36678 |
| 0.430531 | 1.366717 |
| 0.431266 | 1.366655 |
| 0.432003 | 1.366592 |
| 0.43274 | 1.36653 |
| 0.433479 | 1.366469 |
| 0.43422 | 1.366407 |
| 0.434961 | 1.366346 |
| 0.435704 | 1.366285 |
| 0.436448 | 1.366224 |
| 0.437193 | 1.366163 |
| 0.43794 | 1.366103 |
| 0.438688 | 1.366043 |
| 0.439437 | 1.365983 |
| 0.440187 | 1.365923 |
| 0.440939 | 1.365864 |
| 0.441692 | 1.365804 |
| 0.442446 | 1.365745 |
| 0.443202 | 1.365687 |
| 0.443959 | 1.365628 |
| 0.444717 | 1.36557 |
| 0.445477 | 1.365512 |
| 0.446237 | 1.365454 |
| 0.446999 | 1.365396 |
| 0.447763 | 1.365338 |
| 0.448527 | 1.365281 |
| 0.449293 | 1.365224 |
| 0.450061 | 1.365167 |
| 0.450829 | 1.365111 |
| 0.451599 | 1.365054 |
| 0.45237 | 1.364998 |
| 0.453143 | 1.364942 |
| 0.453917 | 1.364887 |
| 0.454692 | 1.364831 |
| 0.455468 | 1.364776 |
| 0.456246 | 1.364721 |
| 0.457025 | 1.364666 |
| 0.457806 | 1.364611 |
| 0.458588 | 1.364557 |
| 0.459371 | 1.364502 |
| 0.460155 | 1.364448 |
| 0.460941 | 1.364395 |
| 0.461728 | 1.364341 |
| 0.462517 | 1.364287 |
| 0.463306 | 1.364234 |
| 0.464098 | 1.364181 |
| 0.46489 | 1.364128 |
| 0.465684 | 1.364076 |
| 0.466479 | 1.364023 |
| 0.467276 | 1.363971 |
| 0.468074 | 1.363919 |
| 0.468873 | 1.363867 |
| 0.469674 | 1.363816 |
| 0.470476 | 1.363764 |
| 0.47128 | 1.363713 |
| 0.472084 | 1.363662 |
| 0.472891 | 1.363611 |
| 0.473698 | 1.363561 |
| 0.474507 | 1.36351 |
| 0.475317 | 1.36346 |
| 0.476129 | 1.36341 |
| 0.476942 | 1.36336 |
| 0.477757 | 1.36331 |
| 0.478573 | 1.363261 |
| 0.47939 | 1.363212 |
| 0.480209 | 1.363162 |
| 0.481029 | 1.363114 |
| 0.48185 | 1.363065 |
| 0.482673 | 1.363016 |
| 0.483497 | 1.362968 |
| 0.484323 | 1.36292 |
| 0.48515 | 1.362872 |
| 0.485978 | 1.362824 |
| 0.486808 | 1.362776 |
| 0.48764 | 1.362729 |
| 0.488472 | 1.362682 |
| 0.489307 | 1.362635 |
| 0.490142 | 1.362588 |
| 0.490979 | 1.362541 |
| 0.491818 | 1.362495 |
| 0.492658 | 1.362448 |
| 0.493499 | 1.362402 |
| 0.494342 | 1.362356 |
| 0.495186 | 1.36231 |
| 0.496032 | 1.362265 |
| 0.496879 | 1.362219 |
| 0.497727 | 1.362174 |
| 0.498577 | 1.362129 |
| 0.499429 | 1.362084 |
| 0.500281 | 1.362039 |
| 0.501136 | 1.361995 |
| 0.501992 | 1.36195 |
| 0.502849 | 1.361906 |
| 0.503708 | 1.361862 |
| 0.504568 | 1.361818 |
| 0.505429 | 1.361775 |
| 0.506293 | 1.361731 |
| 0.507157 | 1.361688 |
| 0.508023 | 1.361644 |
| 0.508891 | 1.361601 |
| 0.50976 | 1.361559 |
| 0.51063 | 1.361516 |
| 0.511502 | 1.361473 |
| 0.512376 | 1.361431 |
| 0.513251 | 1.361389 |
| 0.514127 | 1.361347 |
| 0.515005 | 1.361305 |
| 0.515885 | 1.361263 |
| 0.516766 | 1.361221 |
| 0.517648 | 1.36118 |
| 0.518532 | 1.361139 |
| 0.519418 | 1.361098 |
| 0.520305 | 1.361057 |
| 0.521193 | 1.361016 |
| 0.522084 | 1.360976 |
| 0.522975 | 1.360935 |
| 0.523868 | 1.360895 |
| 0.524763 | 1.360855 |
| 0.525659 | 1.360815 |
| 0.526557 | 1.360775 |
| 0.527456 | 1.360735 |
| 0.528357 | 1.360696 |
| 0.529259 | 1.360656 |
| 0.530163 | 1.360617 |
| 0.531068 | 1.360578 |
| 0.531975 | 1.360539 |
| 0.532884 | 1.360501 |
| 0.533794 | 1.360462 |
| 0.534705 | 1.360424 |
| 0.535618 | 1.360385 |
| 0.536533 | 1.360347 |
| 0.537449 | 1.360309 |
| 0.538367 | 1.360271 |
| 0.539286 | 1.360234 |
| 0.540207 | 1.360196 |
| 0.54113 | 1.360159 |
| 0.542054 | 1.360122 |
| 0.54298 | 1.360084 |
| 0.543907 | 1.360047 |
| 0.544836 | 1.360011 |
| 0.545766 | 1.359974 |
| 0.546698 | 1.359937 |
| 0.547632 | 1.359901 |
| 0.548567 | 1.359865 |
| 0.549504 | 1.359829 |
| 0.550442 | 1.359793 |
| 0.551382 | 1.359757 |
| 0.552324 | 1.359721 |
| 0.553267 | 1.359686 |
| 0.554212 | 1.35965 |
| 0.555158 | 1.359615 |
| 0.556106 | 1.35958 |
| 0.557056 | 1.359545 |
| 0.558007 | 1.35951 |
| 0.55896 | 1.359476 |
| 0.559915 | 1.359441 |
| 0.560871 | 1.359407 |
| 0.561829 | 1.359372 |
| 0.562788 | 1.359338 |
| 0.563749 | 1.359304 |
| 0.564712 | 1.35927 |
| 0.565676 | 1.359237 |
| 0.566642 | 1.359203 |
| 0.56761 | 1.35917 |
| 0.568579 | 1.359136 |
| 0.56955 | 1.359103 |
| 0.570523 | 1.35907 |
| 0.571497 | 1.359037 |
| 0.572473 | 1.359004 |
| 0.573451 | 1.358971 |
| 0.57443 | 1.358939 |
| 0.575411 | 1.358906 |
| 0.576394 | 1.358874 |
| 0.577378 | 1.358842 |
| 0.578364 | 1.35881 |
| 0.579352 | 1.358778 |
| 0.580341 | 1.358746 |
| 0.581332 | 1.358715 |
| 0.582325 | 1.358683 |
| 0.58332 | 1.358652 |
| 0.584316 | 1.35862 |
| 0.585314 | 1.358589 |
| 0.586313 | 1.358558 |
| 0.587314 | 1.358527 |
| 0.588317 | 1.358496 |
| 0.589322 | 1.358466 |
| 0.590328 | 1.358435 |
| 0.591337 | 1.358405 |
| 0.592346 | 1.358374 |
| 0.593358 | 1.358344 |
| 0.594371 | 1.358314 |
| 0.595386 | 1.358284 |
| 0.596403 | 1.358254 |
| 0.597421 | 1.358225 |
| 0.598442 | 1.358195 |
| 0.599464 | 1.358166 |
| 0.600487 | 1.358136 |
| 0.601513 | 1.358107 |
| 0.60254 | 1.358078 |
| 0.603569 | 1.358049 |
| 0.6046 | 1.35802 |
| 0.605632 | 1.357991 |
| 0.606667 | 1.357963 |
| 0.607703 | 1.357934 |
| 0.60874 | 1.357906 |
| 0.60978 | 1.357877 |
| 0.610821 | 1.357849 |
| 0.611864 | 1.357821 |
| 0.612909 | 1.357793 |
| 0.613956 | 1.357765 |
| 0.615004 | 1.357738 |
| 0.616055 | 1.35771 |
| 0.617107 | 1.357682 |
| 0.618161 | 1.357655 |
| 0.619216 | 1.357628 |
| 0.620274 | 1.3576 |
| 0.621333 | 1.357573 |
| 0.622394 | 1.357546 |
| 0.623457 | 1.35752 |
| 0.624522 | 1.357493 |
| 0.625588 | 1.357466 |
| 0.626656 | 1.35744 |
| 0.627727 | 1.357413 |
| 0.628799 | 1.357387 |
| 0.629872 | 1.357361 |
| 0.630948 | 1.357334 |
| 0.632026 | 1.357308 |
| 0.633105 | 1.357283 |
| 0.634186 | 1.357257 |
| 0.635269 | 1.357231 |
| 0.636354 | 1.357205 |
| 0.637441 | 1.35718 |
| 0.638529 | 1.357155 |
| 0.63962 | 1.357129 |
| 0.640712 | 1.357104 |
| 0.641806 | 1.357079 |
| 0.642902 | 1.357054 |
| 0.644 | 1.357029 |
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-Pentane; 293 K (20 °C). See the original publication for the expression for n(λ,T).