Optical constants
Refractive index of C5H12 (Pentane)
Kerl and Varchmin 1995: n-Pentane; 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
- 1.33475
- Extinction coefficient k
- 0
- Permittivity ε1
- 1.78156
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- —
- Chromatic dispersion dn/dλ
- -0.0266554 µm⁻¹
- Group index ng
- 1.35041
- Group velocity dispersion
- 58.318 fs²/mm
- Dispersion parameter D
- -318.156 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; 333 K; n 0.326–0.644 µm
c5h12 = ls.fetch_refractiveindex("organic", "pentane", "Kerl-333K", 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_f7d197e44c87/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-1995-333k).
# ... 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 | 1.33144933 |
| C2 | -0.00532217 |
| C3 | -1.0 |
| C4 | 0.00426762 |
| 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 | 1.35528 |
| 0.326557 | 1.355171 |
| 0.327114 | 1.355062 |
| 0.327673 | 1.354954 |
| 0.328233 | 1.354846 |
| 0.328793 | 1.354739 |
| 0.329355 | 1.354632 |
| 0.329917 | 1.354526 |
| 0.33048 | 1.35442 |
| 0.331045 | 1.354314 |
| 0.33161 | 1.354209 |
| 0.332176 | 1.354104 |
| 0.332744 | 1.353999 |
| 0.333312 | 1.353895 |
| 0.333881 | 1.353792 |
| 0.334451 | 1.353688 |
| 0.335022 | 1.353586 |
| 0.335595 | 1.353483 |
| 0.336168 | 1.353381 |
| 0.336742 | 1.353279 |
| 0.337317 | 1.353178 |
| 0.337893 | 1.353077 |
| 0.33847 | 1.352977 |
| 0.339048 | 1.352877 |
| 0.339627 | 1.352777 |
| 0.340207 | 1.352678 |
| 0.340788 | 1.352579 |
| 0.34137 | 1.35248 |
| 0.341953 | 1.352382 |
| 0.342537 | 1.352284 |
| 0.343122 | 1.352187 |
| 0.343708 | 1.35209 |
| 0.344295 | 1.351993 |
| 0.344883 | 1.351897 |
| 0.345472 | 1.351801 |
| 0.346062 | 1.351705 |
| 0.346653 | 1.35161 |
| 0.347245 | 1.351515 |
| 0.347838 | 1.351421 |
| 0.348432 | 1.351327 |
| 0.349027 | 1.351233 |
| 0.349623 | 1.35114 |
| 0.35022 | 1.351047 |
| 0.350818 | 1.350954 |
| 0.351417 | 1.350862 |
| 0.352017 | 1.35077 |
| 0.352618 | 1.350678 |
| 0.35322 | 1.350587 |
| 0.353824 | 1.350496 |
| 0.354428 | 1.350406 |
| 0.355033 | 1.350316 |
| 0.355639 | 1.350226 |
| 0.356247 | 1.350136 |
| 0.356855 | 1.350047 |
| 0.357464 | 1.349959 |
| 0.358075 | 1.34987 |
| 0.358686 | 1.349782 |
| 0.359299 | 1.349694 |
| 0.359913 | 1.349607 |
| 0.360527 | 1.34952 |
| 0.361143 | 1.349433 |
| 0.36176 | 1.349347 |
| 0.362377 | 1.349261 |
| 0.362996 | 1.349175 |
| 0.363616 | 1.34909 |
| 0.364237 | 1.349005 |
| 0.364859 | 1.34892 |
| 0.365482 | 1.348836 |
| 0.366106 | 1.348752 |
| 0.366731 | 1.348668 |
| 0.367358 | 1.348585 |
| 0.367985 | 1.348502 |
| 0.368614 | 1.348419 |
| 0.369243 | 1.348337 |
| 0.369874 | 1.348255 |
| 0.370505 | 1.348173 |
| 0.371138 | 1.348092 |
| 0.371772 | 1.34801 |
| 0.372407 | 1.34793 |
| 0.373043 | 1.347849 |
| 0.37368 | 1.347769 |
| 0.374318 | 1.347689 |
| 0.374957 | 1.34761 |
| 0.375597 | 1.347531 |
| 0.376239 | 1.347452 |
| 0.376881 | 1.347373 |
| 0.377525 | 1.347295 |
| 0.37817 | 1.347217 |
| 0.378815 | 1.347139 |
| 0.379462 | 1.347062 |
| 0.38011 | 1.346985 |
| 0.380759 | 1.346908 |
| 0.38141 | 1.346831 |
| 0.382061 | 1.346755 |
| 0.382714 | 1.346679 |
| 0.383367 | 1.346604 |
| 0.384022 | 1.346529 |
| 0.384678 | 1.346454 |
| 0.385334 | 1.346379 |
| 0.385993 | 1.346305 |
| 0.386652 | 1.346231 |
| 0.387312 | 1.346157 |
| 0.387973 | 1.346083 |
| 0.388636 | 1.34601 |
| 0.3893 | 1.345937 |
| 0.389964 | 1.345865 |
| 0.39063 | 1.345792 |
| 0.391298 | 1.34572 |
| 0.391966 | 1.345648 |
| 0.392635 | 1.345577 |
| 0.393306 | 1.345506 |
| 0.393977 | 1.345435 |
| 0.39465 | 1.345364 |
| 0.395324 | 1.345294 |
| 0.395999 | 1.345224 |
| 0.396675 | 1.345154 |
| 0.397353 | 1.345084 |
| 0.398031 | 1.345015 |
| 0.398711 | 1.344946 |
| 0.399392 | 1.344878 |
| 0.400074 | 1.344809 |
| 0.400757 | 1.344741 |
| 0.401442 | 1.344673 |
| 0.402127 | 1.344605 |
| 0.402814 | 1.344538 |
| 0.403502 | 1.344471 |
| 0.404191 | 1.344404 |
| 0.404881 | 1.344338 |
| 0.405573 | 1.344271 |
| 0.406265 | 1.344205 |
| 0.406959 | 1.34414 |
| 0.407654 | 1.344074 |
| 0.40835 | 1.344009 |
| 0.409047 | 1.343944 |
| 0.409746 | 1.343879 |
| 0.410446 | 1.343815 |
| 0.411147 | 1.343751 |
| 0.411849 | 1.343687 |
| 0.412552 | 1.343623 |
| 0.413257 | 1.34356 |
| 0.413962 | 1.343496 |
| 0.414669 | 1.343433 |
| 0.415377 | 1.343371 |
| 0.416087 | 1.343308 |
| 0.416797 | 1.343246 |
| 0.417509 | 1.343184 |
| 0.418222 | 1.343123 |
| 0.418936 | 1.343061 |
| 0.419652 | 1.343 |
| 0.420368 | 1.342939 |
| 0.421086 | 1.342878 |
| 0.421805 | 1.342818 |
| 0.422526 | 1.342758 |
| 0.423247 | 1.342698 |
| 0.42397 | 1.342638 |
| 0.424694 | 1.342579 |
| 0.425419 | 1.342519 |
| 0.426146 | 1.34246 |
| 0.426874 | 1.342402 |
| 0.427603 | 1.342343 |
| 0.428333 | 1.342285 |
| 0.429064 | 1.342227 |
| 0.429797 | 1.342169 |
| 0.430531 | 1.342111 |
| 0.431266 | 1.342054 |
| 0.432003 | 1.341997 |
| 0.43274 | 1.34194 |
| 0.433479 | 1.341883 |
| 0.43422 | 1.341827 |
| 0.434961 | 1.341771 |
| 0.435704 | 1.341715 |
| 0.436448 | 1.341659 |
| 0.437193 | 1.341603 |
| 0.43794 | 1.341548 |
| 0.438688 | 1.341493 |
| 0.439437 | 1.341438 |
| 0.440187 | 1.341383 |
| 0.440939 | 1.341329 |
| 0.441692 | 1.341275 |
| 0.442446 | 1.341221 |
| 0.443202 | 1.341167 |
| 0.443959 | 1.341113 |
| 0.444717 | 1.34106 |
| 0.445477 | 1.341007 |
| 0.446237 | 1.340954 |
| 0.446999 | 1.340901 |
| 0.447763 | 1.340849 |
| 0.448527 | 1.340797 |
| 0.449293 | 1.340745 |
| 0.450061 | 1.340693 |
| 0.450829 | 1.340641 |
| 0.451599 | 1.34059 |
| 0.45237 | 1.340539 |
| 0.453143 | 1.340488 |
| 0.453917 | 1.340437 |
| 0.454692 | 1.340386 |
| 0.455468 | 1.340336 |
| 0.456246 | 1.340286 |
| 0.457025 | 1.340236 |
| 0.457806 | 1.340186 |
| 0.458588 | 1.340137 |
| 0.459371 | 1.340087 |
| 0.460155 | 1.340038 |
| 0.460941 | 1.339989 |
| 0.461728 | 1.33994 |
| 0.462517 | 1.339892 |
| 0.463306 | 1.339843 |
| 0.464098 | 1.339795 |
| 0.46489 | 1.339747 |
| 0.465684 | 1.3397 |
| 0.466479 | 1.339652 |
| 0.467276 | 1.339605 |
| 0.468074 | 1.339558 |
| 0.468873 | 1.339511 |
| 0.469674 | 1.339464 |
| 0.470476 | 1.339417 |
| 0.47128 | 1.339371 |
| 0.472084 | 1.339325 |
| 0.472891 | 1.339279 |
| 0.473698 | 1.339233 |
| 0.474507 | 1.339187 |
| 0.475317 | 1.339142 |
| 0.476129 | 1.339096 |
| 0.476942 | 1.339051 |
| 0.477757 | 1.339006 |
| 0.478573 | 1.338962 |
| 0.47939 | 1.338917 |
| 0.480209 | 1.338873 |
| 0.481029 | 1.338829 |
| 0.48185 | 1.338785 |
| 0.482673 | 1.338741 |
| 0.483497 | 1.338697 |
| 0.484323 | 1.338654 |
| 0.48515 | 1.338611 |
| 0.485978 | 1.338568 |
| 0.486808 | 1.338525 |
| 0.48764 | 1.338482 |
| 0.488472 | 1.338439 |
| 0.489307 | 1.338397 |
| 0.490142 | 1.338355 |
| 0.490979 | 1.338313 |
| 0.491818 | 1.338271 |
| 0.492658 | 1.338229 |
| 0.493499 | 1.338188 |
| 0.494342 | 1.338147 |
| 0.495186 | 1.338106 |
| 0.496032 | 1.338065 |
| 0.496879 | 1.338024 |
| 0.497727 | 1.337983 |
| 0.498577 | 1.337943 |
| 0.499429 | 1.337902 |
| 0.500281 | 1.337862 |
| 0.501136 | 1.337822 |
| 0.501992 | 1.337783 |
| 0.502849 | 1.337743 |
| 0.503708 | 1.337703 |
| 0.504568 | 1.337664 |
| 0.505429 | 1.337625 |
| 0.506293 | 1.337586 |
| 0.507157 | 1.337547 |
| 0.508023 | 1.337509 |
| 0.508891 | 1.33747 |
| 0.50976 | 1.337432 |
| 0.51063 | 1.337394 |
| 0.511502 | 1.337356 |
| 0.512376 | 1.337318 |
| 0.513251 | 1.33728 |
| 0.514127 | 1.337243 |
| 0.515005 | 1.337205 |
| 0.515885 | 1.337168 |
| 0.516766 | 1.337131 |
| 0.517648 | 1.337094 |
| 0.518532 | 1.337058 |
| 0.519418 | 1.337021 |
| 0.520305 | 1.336985 |
| 0.521193 | 1.336948 |
| 0.522084 | 1.336912 |
| 0.522975 | 1.336876 |
| 0.523868 | 1.33684 |
| 0.524763 | 1.336805 |
| 0.525659 | 1.336769 |
| 0.526557 | 1.336734 |
| 0.527456 | 1.336699 |
| 0.528357 | 1.336664 |
| 0.529259 | 1.336629 |
| 0.530163 | 1.336594 |
| 0.531068 | 1.336559 |
| 0.531975 | 1.336525 |
| 0.532884 | 1.336491 |
| 0.533794 | 1.336456 |
| 0.534705 | 1.336422 |
| 0.535618 | 1.336388 |
| 0.536533 | 1.336355 |
| 0.537449 | 1.336321 |
| 0.538367 | 1.336288 |
| 0.539286 | 1.336254 |
| 0.540207 | 1.336221 |
| 0.54113 | 1.336188 |
| 0.542054 | 1.336155 |
| 0.54298 | 1.336123 |
| 0.543907 | 1.33609 |
| 0.544836 | 1.336057 |
| 0.545766 | 1.336025 |
| 0.546698 | 1.335993 |
| 0.547632 | 1.335961 |
| 0.548567 | 1.335929 |
| 0.549504 | 1.335897 |
| 0.550442 | 1.335866 |
| 0.551382 | 1.335834 |
| 0.552324 | 1.335803 |
| 0.553267 | 1.335772 |
| 0.554212 | 1.33574 |
| 0.555158 | 1.335709 |
| 0.556106 | 1.335679 |
| 0.557056 | 1.335648 |
| 0.558007 | 1.335617 |
| 0.55896 | 1.335587 |
| 0.559915 | 1.335557 |
| 0.560871 | 1.335526 |
| 0.561829 | 1.335496 |
| 0.562788 | 1.335467 |
| 0.563749 | 1.335437 |
| 0.564712 | 1.335407 |
| 0.565676 | 1.335378 |
| 0.566642 | 1.335348 |
| 0.56761 | 1.335319 |
| 0.568579 | 1.33529 |
| 0.56955 | 1.335261 |
| 0.570523 | 1.335232 |
| 0.571497 | 1.335203 |
| 0.572473 | 1.335174 |
| 0.573451 | 1.335146 |
| 0.57443 | 1.335118 |
| 0.575411 | 1.335089 |
| 0.576394 | 1.335061 |
| 0.577378 | 1.335033 |
| 0.578364 | 1.335005 |
| 0.579352 | 1.334977 |
| 0.580341 | 1.33495 |
| 0.581332 | 1.334922 |
| 0.582325 | 1.334895 |
| 0.58332 | 1.334868 |
| 0.584316 | 1.33484 |
| 0.585314 | 1.334813 |
| 0.586313 | 1.334786 |
| 0.587314 | 1.33476 |
| 0.588317 | 1.334733 |
| 0.589322 | 1.334706 |
| 0.590328 | 1.33468 |
| 0.591337 | 1.334653 |
| 0.592346 | 1.334627 |
| 0.593358 | 1.334601 |
| 0.594371 | 1.334575 |
| 0.595386 | 1.334549 |
| 0.596403 | 1.334523 |
| 0.597421 | 1.334498 |
| 0.598442 | 1.334472 |
| 0.599464 | 1.334447 |
| 0.600487 | 1.334422 |
| 0.601513 | 1.334396 |
| 0.60254 | 1.334371 |
| 0.603569 | 1.334346 |
| 0.6046 | 1.334321 |
| 0.605632 | 1.334297 |
| 0.606667 | 1.334272 |
| 0.607703 | 1.334247 |
| 0.60874 | 1.334223 |
| 0.60978 | 1.334199 |
| 0.610821 | 1.334174 |
| 0.611864 | 1.33415 |
| 0.612909 | 1.334126 |
| 0.613956 | 1.334102 |
| 0.615004 | 1.334079 |
| 0.616055 | 1.334055 |
| 0.617107 | 1.334031 |
| 0.618161 | 1.334008 |
| 0.619216 | 1.333984 |
| 0.620274 | 1.333961 |
| 0.621333 | 1.333938 |
| 0.622394 | 1.333915 |
| 0.623457 | 1.333892 |
| 0.624522 | 1.333869 |
| 0.625588 | 1.333846 |
| 0.626656 | 1.333824 |
| 0.627727 | 1.333801 |
| 0.628799 | 1.333779 |
| 0.629872 | 1.333756 |
| 0.630948 | 1.333734 |
| 0.632026 | 1.333712 |
| 0.633105 | 1.33369 |
| 0.634186 | 1.333668 |
| 0.635269 | 1.333646 |
| 0.636354 | 1.333625 |
| 0.637441 | 1.333603 |
| 0.638529 | 1.333581 |
| 0.63962 | 1.33356 |
| 0.640712 | 1.333539 |
| 0.641806 | 1.333517 |
| 0.642902 | 1.333496 |
| 0.644 | 1.333475 |
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; 333 K (60 °C). See the original publication for the expression for n(λ,T).