Optical constants
Refractive index of C7H16 (Heptane)
Kerl and Varchmin 1995: n-Heptane; 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
- 1.38887
- Extinction coefficient k
- 0
- Permittivity ε1
- 1.92895
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- —
- Chromatic dispersion dn/dλ
- -0.0334512 µm⁻¹
- Group index ng
- 1.40852
- Group velocity dispersion
- 68.5371 fs²/mm
- Dispersion parameter D
- -373.906 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
# C7H16 (Heptane): Kerl and Varchmin 1995: n-Heptane; 293 K; n 0.326–0.644 µm
c7h16 = ls.fetch_refractiveindex("organic", "heptane", "Kerl-293K", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(c7h16.range_nm) # (326, 644) nm
eps = c7h16.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_4e01682d9aca/lightsmith"
c7h16 = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(c7h16.source) # citation and provenance travel with the data
Any dataset here, as the library's Tabulated material (heptane/kerl-varchmin-1995-293k).
# ... load c7h16 as above, then:
sim = ls.Simulation(
particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=c7h16)],
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 | 1.38248838 |
| C2 | -0.00405375 |
| C3 | -1.0 |
| C4 | 0.00458433 |
| 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 | 1.41319 |
| 0.326557 | 1.413064 |
| 0.327114 | 1.412939 |
| 0.327673 | 1.412814 |
| 0.328233 | 1.412689 |
| 0.328793 | 1.412566 |
| 0.329355 | 1.412442 |
| 0.329917 | 1.412319 |
| 0.33048 | 1.412197 |
| 0.331045 | 1.412074 |
| 0.33161 | 1.411953 |
| 0.332176 | 1.411832 |
| 0.332744 | 1.411711 |
| 0.333312 | 1.411591 |
| 0.333881 | 1.411471 |
| 0.334451 | 1.411351 |
| 0.335022 | 1.411232 |
| 0.335595 | 1.411114 |
| 0.336168 | 1.410996 |
| 0.336742 | 1.410878 |
| 0.337317 | 1.410761 |
| 0.337893 | 1.410644 |
| 0.33847 | 1.410528 |
| 0.339048 | 1.410412 |
| 0.339627 | 1.410296 |
| 0.340207 | 1.410181 |
| 0.340788 | 1.410067 |
| 0.34137 | 1.409953 |
| 0.341953 | 1.409839 |
| 0.342537 | 1.409725 |
| 0.343122 | 1.409613 |
| 0.343708 | 1.4095 |
| 0.344295 | 1.409388 |
| 0.344883 | 1.409276 |
| 0.345472 | 1.409165 |
| 0.346062 | 1.409054 |
| 0.346653 | 1.408944 |
| 0.347245 | 1.408834 |
| 0.347838 | 1.408724 |
| 0.348432 | 1.408615 |
| 0.349027 | 1.408506 |
| 0.349623 | 1.408398 |
| 0.35022 | 1.40829 |
| 0.350818 | 1.408182 |
| 0.351417 | 1.408075 |
| 0.352017 | 1.407968 |
| 0.352618 | 1.407862 |
| 0.35322 | 1.407756 |
| 0.353824 | 1.40765 |
| 0.354428 | 1.407545 |
| 0.355033 | 1.40744 |
| 0.355639 | 1.407336 |
| 0.356247 | 1.407232 |
| 0.356855 | 1.407128 |
| 0.357464 | 1.407025 |
| 0.358075 | 1.406922 |
| 0.358686 | 1.406819 |
| 0.359299 | 1.406717 |
| 0.359913 | 1.406615 |
| 0.360527 | 1.406514 |
| 0.361143 | 1.406413 |
| 0.36176 | 1.406312 |
| 0.362377 | 1.406212 |
| 0.362996 | 1.406112 |
| 0.363616 | 1.406013 |
| 0.364237 | 1.405914 |
| 0.364859 | 1.405815 |
| 0.365482 | 1.405717 |
| 0.366106 | 1.405619 |
| 0.366731 | 1.405521 |
| 0.367358 | 1.405424 |
| 0.367985 | 1.405327 |
| 0.368614 | 1.40523 |
| 0.369243 | 1.405134 |
| 0.369874 | 1.405038 |
| 0.370505 | 1.404943 |
| 0.371138 | 1.404848 |
| 0.371772 | 1.404753 |
| 0.372407 | 1.404658 |
| 0.373043 | 1.404564 |
| 0.37368 | 1.404471 |
| 0.374318 | 1.404377 |
| 0.374957 | 1.404284 |
| 0.375597 | 1.404192 |
| 0.376239 | 1.404099 |
| 0.376881 | 1.404007 |
| 0.377525 | 1.403916 |
| 0.37817 | 1.403824 |
| 0.378815 | 1.403734 |
| 0.379462 | 1.403643 |
| 0.38011 | 1.403553 |
| 0.380759 | 1.403463 |
| 0.38141 | 1.403373 |
| 0.382061 | 1.403284 |
| 0.382714 | 1.403195 |
| 0.383367 | 1.403107 |
| 0.384022 | 1.403018 |
| 0.384678 | 1.40293 |
| 0.385334 | 1.402843 |
| 0.385993 | 1.402756 |
| 0.386652 | 1.402669 |
| 0.387312 | 1.402582 |
| 0.387973 | 1.402496 |
| 0.388636 | 1.40241 |
| 0.3893 | 1.402324 |
| 0.389964 | 1.402239 |
| 0.39063 | 1.402154 |
| 0.391298 | 1.402069 |
| 0.391966 | 1.401985 |
| 0.392635 | 1.401901 |
| 0.393306 | 1.401817 |
| 0.393977 | 1.401734 |
| 0.39465 | 1.401651 |
| 0.395324 | 1.401568 |
| 0.395999 | 1.401486 |
| 0.396675 | 1.401403 |
| 0.397353 | 1.401322 |
| 0.398031 | 1.40124 |
| 0.398711 | 1.401159 |
| 0.399392 | 1.401078 |
| 0.400074 | 1.400997 |
| 0.400757 | 1.400917 |
| 0.401442 | 1.400837 |
| 0.402127 | 1.400757 |
| 0.402814 | 1.400678 |
| 0.403502 | 1.400599 |
| 0.404191 | 1.40052 |
| 0.404881 | 1.400442 |
| 0.405573 | 1.400363 |
| 0.406265 | 1.400285 |
| 0.406959 | 1.400208 |
| 0.407654 | 1.400131 |
| 0.40835 | 1.400054 |
| 0.409047 | 1.399977 |
| 0.409746 | 1.3999 |
| 0.410446 | 1.399824 |
| 0.411147 | 1.399748 |
| 0.411849 | 1.399673 |
| 0.412552 | 1.399597 |
| 0.413257 | 1.399522 |
| 0.413962 | 1.399448 |
| 0.414669 | 1.399373 |
| 0.415377 | 1.399299 |
| 0.416087 | 1.399225 |
| 0.416797 | 1.399152 |
| 0.417509 | 1.399078 |
| 0.418222 | 1.399005 |
| 0.418936 | 1.398932 |
| 0.419652 | 1.39886 |
| 0.420368 | 1.398788 |
| 0.421086 | 1.398716 |
| 0.421805 | 1.398644 |
| 0.422526 | 1.398573 |
| 0.423247 | 1.398502 |
| 0.42397 | 1.398431 |
| 0.424694 | 1.39836 |
| 0.425419 | 1.39829 |
| 0.426146 | 1.39822 |
| 0.426874 | 1.39815 |
| 0.427603 | 1.398081 |
| 0.428333 | 1.398011 |
| 0.429064 | 1.397942 |
| 0.429797 | 1.397874 |
| 0.430531 | 1.397805 |
| 0.431266 | 1.397737 |
| 0.432003 | 1.397669 |
| 0.43274 | 1.397601 |
| 0.433479 | 1.397534 |
| 0.43422 | 1.397467 |
| 0.434961 | 1.3974 |
| 0.435704 | 1.397333 |
| 0.436448 | 1.397267 |
| 0.437193 | 1.397201 |
| 0.43794 | 1.397135 |
| 0.438688 | 1.397069 |
| 0.439437 | 1.397004 |
| 0.440187 | 1.396938 |
| 0.440939 | 1.396874 |
| 0.441692 | 1.396809 |
| 0.442446 | 1.396745 |
| 0.443202 | 1.39668 |
| 0.443959 | 1.396616 |
| 0.444717 | 1.396553 |
| 0.445477 | 1.396489 |
| 0.446237 | 1.396426 |
| 0.446999 | 1.396363 |
| 0.447763 | 1.396301 |
| 0.448527 | 1.396238 |
| 0.449293 | 1.396176 |
| 0.450061 | 1.396114 |
| 0.450829 | 1.396052 |
| 0.451599 | 1.395991 |
| 0.45237 | 1.395929 |
| 0.453143 | 1.395868 |
| 0.453917 | 1.395807 |
| 0.454692 | 1.395747 |
| 0.455468 | 1.395687 |
| 0.456246 | 1.395626 |
| 0.457025 | 1.395567 |
| 0.457806 | 1.395507 |
| 0.458588 | 1.395447 |
| 0.459371 | 1.395388 |
| 0.460155 | 1.395329 |
| 0.460941 | 1.395271 |
| 0.461728 | 1.395212 |
| 0.462517 | 1.395154 |
| 0.463306 | 1.395096 |
| 0.464098 | 1.395038 |
| 0.46489 | 1.39498 |
| 0.465684 | 1.394923 |
| 0.466479 | 1.394866 |
| 0.467276 | 1.394809 |
| 0.468074 | 1.394752 |
| 0.468873 | 1.394695 |
| 0.469674 | 1.394639 |
| 0.470476 | 1.394583 |
| 0.47128 | 1.394527 |
| 0.472084 | 1.394472 |
| 0.472891 | 1.394416 |
| 0.473698 | 1.394361 |
| 0.474507 | 1.394306 |
| 0.475317 | 1.394251 |
| 0.476129 | 1.394197 |
| 0.476942 | 1.394142 |
| 0.477757 | 1.394088 |
| 0.478573 | 1.394034 |
| 0.47939 | 1.39398 |
| 0.480209 | 1.393927 |
| 0.481029 | 1.393873 |
| 0.48185 | 1.39382 |
| 0.482673 | 1.393767 |
| 0.483497 | 1.393715 |
| 0.484323 | 1.393662 |
| 0.48515 | 1.39361 |
| 0.485978 | 1.393558 |
| 0.486808 | 1.393506 |
| 0.48764 | 1.393454 |
| 0.488472 | 1.393403 |
| 0.489307 | 1.393351 |
| 0.490142 | 1.3933 |
| 0.490979 | 1.393249 |
| 0.491818 | 1.393199 |
| 0.492658 | 1.393148 |
| 0.493499 | 1.393098 |
| 0.494342 | 1.393048 |
| 0.495186 | 1.392998 |
| 0.496032 | 1.392948 |
| 0.496879 | 1.392898 |
| 0.497727 | 1.392849 |
| 0.498577 | 1.3928 |
| 0.499429 | 1.392751 |
| 0.500281 | 1.392702 |
| 0.501136 | 1.392654 |
| 0.501992 | 1.392605 |
| 0.502849 | 1.392557 |
| 0.503708 | 1.392509 |
| 0.504568 | 1.392461 |
| 0.505429 | 1.392413 |
| 0.506293 | 1.392366 |
| 0.507157 | 1.392319 |
| 0.508023 | 1.392272 |
| 0.508891 | 1.392225 |
| 0.50976 | 1.392178 |
| 0.51063 | 1.392131 |
| 0.511502 | 1.392085 |
| 0.512376 | 1.392039 |
| 0.513251 | 1.391993 |
| 0.514127 | 1.391947 |
| 0.515005 | 1.391901 |
| 0.515885 | 1.391856 |
| 0.516766 | 1.391811 |
| 0.517648 | 1.391766 |
| 0.518532 | 1.391721 |
| 0.519418 | 1.391676 |
| 0.520305 | 1.391631 |
| 0.521193 | 1.391587 |
| 0.522084 | 1.391543 |
| 0.522975 | 1.391499 |
| 0.523868 | 1.391455 |
| 0.524763 | 1.391411 |
| 0.525659 | 1.391367 |
| 0.526557 | 1.391324 |
| 0.527456 | 1.391281 |
| 0.528357 | 1.391238 |
| 0.529259 | 1.391195 |
| 0.530163 | 1.391152 |
| 0.531068 | 1.39111 |
| 0.531975 | 1.391067 |
| 0.532884 | 1.391025 |
| 0.533794 | 1.390983 |
| 0.534705 | 1.390941 |
| 0.535618 | 1.3909 |
| 0.536533 | 1.390858 |
| 0.537449 | 1.390817 |
| 0.538367 | 1.390775 |
| 0.539286 | 1.390734 |
| 0.540207 | 1.390694 |
| 0.54113 | 1.390653 |
| 0.542054 | 1.390612 |
| 0.54298 | 1.390572 |
| 0.543907 | 1.390532 |
| 0.544836 | 1.390492 |
| 0.545766 | 1.390452 |
| 0.546698 | 1.390412 |
| 0.547632 | 1.390372 |
| 0.548567 | 1.390333 |
| 0.549504 | 1.390293 |
| 0.550442 | 1.390254 |
| 0.551382 | 1.390215 |
| 0.552324 | 1.390176 |
| 0.553267 | 1.390138 |
| 0.554212 | 1.390099 |
| 0.555158 | 1.390061 |
| 0.556106 | 1.390023 |
| 0.557056 | 1.389985 |
| 0.558007 | 1.389947 |
| 0.55896 | 1.389909 |
| 0.559915 | 1.389871 |
| 0.560871 | 1.389834 |
| 0.561829 | 1.389796 |
| 0.562788 | 1.389759 |
| 0.563749 | 1.389722 |
| 0.564712 | 1.389685 |
| 0.565676 | 1.389649 |
| 0.566642 | 1.389612 |
| 0.56761 | 1.389576 |
| 0.568579 | 1.389539 |
| 0.56955 | 1.389503 |
| 0.570523 | 1.389467 |
| 0.571497 | 1.389431 |
| 0.572473 | 1.389396 |
| 0.573451 | 1.38936 |
| 0.57443 | 1.389325 |
| 0.575411 | 1.389289 |
| 0.576394 | 1.389254 |
| 0.577378 | 1.389219 |
| 0.578364 | 1.389184 |
| 0.579352 | 1.389149 |
| 0.580341 | 1.389115 |
| 0.581332 | 1.38908 |
| 0.582325 | 1.389046 |
| 0.58332 | 1.389012 |
| 0.584316 | 1.388978 |
| 0.585314 | 1.388944 |
| 0.586313 | 1.38891 |
| 0.587314 | 1.388876 |
| 0.588317 | 1.388843 |
| 0.589322 | 1.38881 |
| 0.590328 | 1.388776 |
| 0.591337 | 1.388743 |
| 0.592346 | 1.38871 |
| 0.593358 | 1.388677 |
| 0.594371 | 1.388645 |
| 0.595386 | 1.388612 |
| 0.596403 | 1.38858 |
| 0.597421 | 1.388547 |
| 0.598442 | 1.388515 |
| 0.599464 | 1.388483 |
| 0.600487 | 1.388451 |
| 0.601513 | 1.388419 |
| 0.60254 | 1.388388 |
| 0.603569 | 1.388356 |
| 0.6046 | 1.388325 |
| 0.605632 | 1.388293 |
| 0.606667 | 1.388262 |
| 0.607703 | 1.388231 |
| 0.60874 | 1.3882 |
| 0.60978 | 1.38817 |
| 0.610821 | 1.388139 |
| 0.611864 | 1.388108 |
| 0.612909 | 1.388078 |
| 0.613956 | 1.388048 |
| 0.615004 | 1.388017 |
| 0.616055 | 1.387987 |
| 0.617107 | 1.387957 |
| 0.618161 | 1.387928 |
| 0.619216 | 1.387898 |
| 0.620274 | 1.387868 |
| 0.621333 | 1.387839 |
| 0.622394 | 1.38781 |
| 0.623457 | 1.38778 |
| 0.624522 | 1.387751 |
| 0.625588 | 1.387722 |
| 0.626656 | 1.387693 |
| 0.627727 | 1.387665 |
| 0.628799 | 1.387636 |
| 0.629872 | 1.387608 |
| 0.630948 | 1.387579 |
| 0.632026 | 1.387551 |
| 0.633105 | 1.387523 |
| 0.634186 | 1.387495 |
| 0.635269 | 1.387467 |
| 0.636354 | 1.387439 |
| 0.637441 | 1.387411 |
| 0.638529 | 1.387384 |
| 0.63962 | 1.387356 |
| 0.640712 | 1.387329 |
| 0.641806 | 1.387302 |
| 0.642902 | 1.387274 |
| 0.644 | 1.387247 |
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-Heptane; 293 K (20 °C). See the original publication for the expression for n(λ,T).