Optical constants
Refractive index of C7H16 (Heptane)
Kerl and Varchmin 1995: n-Heptane; 313 K; n 0.326–0.644 µm
- Data
- formula 5
- Range
- 0.326–0.644 µm
- Temperature
- 313 K
- Licence
- CC0-1.0
Plot
Click the plot to set the calculator wavelength.
At one wavelength
- Refractive index n
- 1.37853
- Extinction coefficient k
- 0
- Permittivity ε1
- 1.90035
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- —
- Chromatic dispersion dn/dλ
- -0.0324436 µm⁻¹
- Group index ng
- 1.39759
- Group velocity dispersion
- 66.5832 fs²/mm
- Dispersion parameter D
- -363.247 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; 313 K; n 0.326–0.644 µm
c7h16 = ls.fetch_refractiveindex("organic", "heptane", "Kerl-313K", 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_a07b4d013e09/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-1995-313k).
# ... 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 | 1.37239718 |
| C2 | -0.00399406 |
| C3 | -1.0 |
| C4 | 0.00446458 |
| C5 | -2.0 |
Comments and conditions
Conditions
- temperature
- 313 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 | 1.402155 |
| 0.326557 | 1.402033 |
| 0.327114 | 1.401911 |
| 0.327673 | 1.401789 |
| 0.328233 | 1.401669 |
| 0.328793 | 1.401548 |
| 0.329355 | 1.401428 |
| 0.329917 | 1.401309 |
| 0.33048 | 1.40119 |
| 0.331045 | 1.401071 |
| 0.33161 | 1.400953 |
| 0.332176 | 1.400835 |
| 0.332744 | 1.400718 |
| 0.333312 | 1.400601 |
| 0.333881 | 1.400484 |
| 0.334451 | 1.400368 |
| 0.335022 | 1.400252 |
| 0.335595 | 1.400137 |
| 0.336168 | 1.400023 |
| 0.336742 | 1.399908 |
| 0.337317 | 1.399794 |
| 0.337893 | 1.399681 |
| 0.33847 | 1.399568 |
| 0.339048 | 1.399455 |
| 0.339627 | 1.399343 |
| 0.340207 | 1.399231 |
| 0.340788 | 1.39912 |
| 0.34137 | 1.399009 |
| 0.341953 | 1.398898 |
| 0.342537 | 1.398788 |
| 0.343122 | 1.398678 |
| 0.343708 | 1.398569 |
| 0.344295 | 1.39846 |
| 0.344883 | 1.398351 |
| 0.345472 | 1.398243 |
| 0.346062 | 1.398136 |
| 0.346653 | 1.398028 |
| 0.347245 | 1.397921 |
| 0.347838 | 1.397815 |
| 0.348432 | 1.397709 |
| 0.349027 | 1.397603 |
| 0.349623 | 1.397498 |
| 0.35022 | 1.397393 |
| 0.350818 | 1.397288 |
| 0.351417 | 1.397184 |
| 0.352017 | 1.39708 |
| 0.352618 | 1.396977 |
| 0.35322 | 1.396874 |
| 0.353824 | 1.396771 |
| 0.354428 | 1.396669 |
| 0.355033 | 1.396567 |
| 0.355639 | 1.396465 |
| 0.356247 | 1.396364 |
| 0.356855 | 1.396264 |
| 0.357464 | 1.396163 |
| 0.358075 | 1.396063 |
| 0.358686 | 1.395964 |
| 0.359299 | 1.395864 |
| 0.359913 | 1.395766 |
| 0.360527 | 1.395667 |
| 0.361143 | 1.395569 |
| 0.36176 | 1.395471 |
| 0.362377 | 1.395374 |
| 0.362996 | 1.395277 |
| 0.363616 | 1.39518 |
| 0.364237 | 1.395084 |
| 0.364859 | 1.394988 |
| 0.365482 | 1.394892 |
| 0.366106 | 1.394797 |
| 0.366731 | 1.394702 |
| 0.367358 | 1.394608 |
| 0.367985 | 1.394513 |
| 0.368614 | 1.39442 |
| 0.369243 | 1.394326 |
| 0.369874 | 1.394233 |
| 0.370505 | 1.39414 |
| 0.371138 | 1.394048 |
| 0.371772 | 1.393956 |
| 0.372407 | 1.393864 |
| 0.373043 | 1.393773 |
| 0.37368 | 1.393682 |
| 0.374318 | 1.393591 |
| 0.374957 | 1.393501 |
| 0.375597 | 1.393411 |
| 0.376239 | 1.393321 |
| 0.376881 | 1.393231 |
| 0.377525 | 1.393142 |
| 0.37817 | 1.393054 |
| 0.378815 | 1.392965 |
| 0.379462 | 1.392877 |
| 0.38011 | 1.39279 |
| 0.380759 | 1.392702 |
| 0.38141 | 1.392615 |
| 0.382061 | 1.392529 |
| 0.382714 | 1.392442 |
| 0.383367 | 1.392356 |
| 0.384022 | 1.392271 |
| 0.384678 | 1.392185 |
| 0.385334 | 1.3921 |
| 0.385993 | 1.392015 |
| 0.386652 | 1.391931 |
| 0.387312 | 1.391847 |
| 0.387973 | 1.391763 |
| 0.388636 | 1.391679 |
| 0.3893 | 1.391596 |
| 0.389964 | 1.391513 |
| 0.39063 | 1.391431 |
| 0.391298 | 1.391349 |
| 0.391966 | 1.391267 |
| 0.392635 | 1.391185 |
| 0.393306 | 1.391104 |
| 0.393977 | 1.391023 |
| 0.39465 | 1.390942 |
| 0.395324 | 1.390862 |
| 0.395999 | 1.390781 |
| 0.396675 | 1.390702 |
| 0.397353 | 1.390622 |
| 0.398031 | 1.390543 |
| 0.398711 | 1.390464 |
| 0.399392 | 1.390385 |
| 0.400074 | 1.390307 |
| 0.400757 | 1.390229 |
| 0.401442 | 1.390151 |
| 0.402127 | 1.390074 |
| 0.402814 | 1.389997 |
| 0.403502 | 1.38992 |
| 0.404191 | 1.389844 |
| 0.404881 | 1.389767 |
| 0.405573 | 1.389691 |
| 0.406265 | 1.389616 |
| 0.406959 | 1.38954 |
| 0.407654 | 1.389465 |
| 0.40835 | 1.38939 |
| 0.409047 | 1.389316 |
| 0.409746 | 1.389242 |
| 0.410446 | 1.389168 |
| 0.411147 | 1.389094 |
| 0.411849 | 1.38902 |
| 0.412552 | 1.388947 |
| 0.413257 | 1.388874 |
| 0.413962 | 1.388802 |
| 0.414669 | 1.38873 |
| 0.415377 | 1.388658 |
| 0.416087 | 1.388586 |
| 0.416797 | 1.388514 |
| 0.417509 | 1.388443 |
| 0.418222 | 1.388372 |
| 0.418936 | 1.388301 |
| 0.419652 | 1.388231 |
| 0.420368 | 1.388161 |
| 0.421086 | 1.388091 |
| 0.421805 | 1.388021 |
| 0.422526 | 1.387952 |
| 0.423247 | 1.387883 |
| 0.42397 | 1.387814 |
| 0.424694 | 1.387746 |
| 0.425419 | 1.387677 |
| 0.426146 | 1.387609 |
| 0.426874 | 1.387542 |
| 0.427603 | 1.387474 |
| 0.428333 | 1.387407 |
| 0.429064 | 1.38734 |
| 0.429797 | 1.387273 |
| 0.430531 | 1.387207 |
| 0.431266 | 1.38714 |
| 0.432003 | 1.387074 |
| 0.43274 | 1.387009 |
| 0.433479 | 1.386943 |
| 0.43422 | 1.386878 |
| 0.434961 | 1.386813 |
| 0.435704 | 1.386748 |
| 0.436448 | 1.386684 |
| 0.437193 | 1.386619 |
| 0.43794 | 1.386555 |
| 0.438688 | 1.386492 |
| 0.439437 | 1.386428 |
| 0.440187 | 1.386365 |
| 0.440939 | 1.386302 |
| 0.441692 | 1.386239 |
| 0.442446 | 1.386176 |
| 0.443202 | 1.386114 |
| 0.443959 | 1.386052 |
| 0.444717 | 1.38599 |
| 0.445477 | 1.385929 |
| 0.446237 | 1.385867 |
| 0.446999 | 1.385806 |
| 0.447763 | 1.385745 |
| 0.448527 | 1.385685 |
| 0.449293 | 1.385624 |
| 0.450061 | 1.385564 |
| 0.450829 | 1.385504 |
| 0.451599 | 1.385444 |
| 0.45237 | 1.385385 |
| 0.453143 | 1.385326 |
| 0.453917 | 1.385267 |
| 0.454692 | 1.385208 |
| 0.455468 | 1.385149 |
| 0.456246 | 1.385091 |
| 0.457025 | 1.385033 |
| 0.457806 | 1.384975 |
| 0.458588 | 1.384917 |
| 0.459371 | 1.38486 |
| 0.460155 | 1.384802 |
| 0.460941 | 1.384745 |
| 0.461728 | 1.384688 |
| 0.462517 | 1.384632 |
| 0.463306 | 1.384575 |
| 0.464098 | 1.384519 |
| 0.46489 | 1.384463 |
| 0.465684 | 1.384408 |
| 0.466479 | 1.384352 |
| 0.467276 | 1.384297 |
| 0.468074 | 1.384242 |
| 0.468873 | 1.384187 |
| 0.469674 | 1.384132 |
| 0.470476 | 1.384078 |
| 0.47128 | 1.384024 |
| 0.472084 | 1.383969 |
| 0.472891 | 1.383916 |
| 0.473698 | 1.383862 |
| 0.474507 | 1.383809 |
| 0.475317 | 1.383755 |
| 0.476129 | 1.383702 |
| 0.476942 | 1.38365 |
| 0.477757 | 1.383597 |
| 0.478573 | 1.383545 |
| 0.47939 | 1.383493 |
| 0.480209 | 1.383441 |
| 0.481029 | 1.383389 |
| 0.48185 | 1.383337 |
| 0.482673 | 1.383286 |
| 0.483497 | 1.383235 |
| 0.484323 | 1.383184 |
| 0.48515 | 1.383133 |
| 0.485978 | 1.383082 |
| 0.486808 | 1.383032 |
| 0.48764 | 1.382982 |
| 0.488472 | 1.382932 |
| 0.489307 | 1.382882 |
| 0.490142 | 1.382832 |
| 0.490979 | 1.382783 |
| 0.491818 | 1.382734 |
| 0.492658 | 1.382685 |
| 0.493499 | 1.382636 |
| 0.494342 | 1.382587 |
| 0.495186 | 1.382539 |
| 0.496032 | 1.38249 |
| 0.496879 | 1.382442 |
| 0.497727 | 1.382394 |
| 0.498577 | 1.382347 |
| 0.499429 | 1.382299 |
| 0.500281 | 1.382252 |
| 0.501136 | 1.382205 |
| 0.501992 | 1.382158 |
| 0.502849 | 1.382111 |
| 0.503708 | 1.382064 |
| 0.504568 | 1.382018 |
| 0.505429 | 1.381972 |
| 0.506293 | 1.381926 |
| 0.507157 | 1.38188 |
| 0.508023 | 1.381834 |
| 0.508891 | 1.381788 |
| 0.50976 | 1.381743 |
| 0.51063 | 1.381698 |
| 0.511502 | 1.381653 |
| 0.512376 | 1.381608 |
| 0.513251 | 1.381563 |
| 0.514127 | 1.381519 |
| 0.515005 | 1.381475 |
| 0.515885 | 1.381431 |
| 0.516766 | 1.381387 |
| 0.517648 | 1.381343 |
| 0.518532 | 1.381299 |
| 0.519418 | 1.381256 |
| 0.520305 | 1.381212 |
| 0.521193 | 1.381169 |
| 0.522084 | 1.381126 |
| 0.522975 | 1.381084 |
| 0.523868 | 1.381041 |
| 0.524763 | 1.380999 |
| 0.525659 | 1.380956 |
| 0.526557 | 1.380914 |
| 0.527456 | 1.380872 |
| 0.528357 | 1.380831 |
| 0.529259 | 1.380789 |
| 0.530163 | 1.380748 |
| 0.531068 | 1.380706 |
| 0.531975 | 1.380665 |
| 0.532884 | 1.380624 |
| 0.533794 | 1.380584 |
| 0.534705 | 1.380543 |
| 0.535618 | 1.380502 |
| 0.536533 | 1.380462 |
| 0.537449 | 1.380422 |
| 0.538367 | 1.380382 |
| 0.539286 | 1.380342 |
| 0.540207 | 1.380302 |
| 0.54113 | 1.380263 |
| 0.542054 | 1.380224 |
| 0.54298 | 1.380184 |
| 0.543907 | 1.380145 |
| 0.544836 | 1.380106 |
| 0.545766 | 1.380068 |
| 0.546698 | 1.380029 |
| 0.547632 | 1.379991 |
| 0.548567 | 1.379952 |
| 0.549504 | 1.379914 |
| 0.550442 | 1.379876 |
| 0.551382 | 1.379838 |
| 0.552324 | 1.379801 |
| 0.553267 | 1.379763 |
| 0.554212 | 1.379726 |
| 0.555158 | 1.379689 |
| 0.556106 | 1.379652 |
| 0.557056 | 1.379615 |
| 0.558007 | 1.379578 |
| 0.55896 | 1.379541 |
| 0.559915 | 1.379505 |
| 0.560871 | 1.379468 |
| 0.561829 | 1.379432 |
| 0.562788 | 1.379396 |
| 0.563749 | 1.37936 |
| 0.564712 | 1.379324 |
| 0.565676 | 1.379289 |
| 0.566642 | 1.379253 |
| 0.56761 | 1.379218 |
| 0.568579 | 1.379183 |
| 0.56955 | 1.379148 |
| 0.570523 | 1.379113 |
| 0.571497 | 1.379078 |
| 0.572473 | 1.379043 |
| 0.573451 | 1.379009 |
| 0.57443 | 1.378974 |
| 0.575411 | 1.37894 |
| 0.576394 | 1.378906 |
| 0.577378 | 1.378872 |
| 0.578364 | 1.378838 |
| 0.579352 | 1.378805 |
| 0.580341 | 1.378771 |
| 0.581332 | 1.378738 |
| 0.582325 | 1.378704 |
| 0.58332 | 1.378671 |
| 0.584316 | 1.378638 |
| 0.585314 | 1.378605 |
| 0.586313 | 1.378572 |
| 0.587314 | 1.37854 |
| 0.588317 | 1.378507 |
| 0.589322 | 1.378475 |
| 0.590328 | 1.378443 |
| 0.591337 | 1.378411 |
| 0.592346 | 1.378379 |
| 0.593358 | 1.378347 |
| 0.594371 | 1.378315 |
| 0.595386 | 1.378283 |
| 0.596403 | 1.378252 |
| 0.597421 | 1.378221 |
| 0.598442 | 1.378189 |
| 0.599464 | 1.378158 |
| 0.600487 | 1.378127 |
| 0.601513 | 1.378096 |
| 0.60254 | 1.378066 |
| 0.603569 | 1.378035 |
| 0.6046 | 1.378005 |
| 0.605632 | 1.377974 |
| 0.606667 | 1.377944 |
| 0.607703 | 1.377914 |
| 0.60874 | 1.377884 |
| 0.60978 | 1.377854 |
| 0.610821 | 1.377824 |
| 0.611864 | 1.377795 |
| 0.612909 | 1.377765 |
| 0.613956 | 1.377736 |
| 0.615004 | 1.377707 |
| 0.616055 | 1.377678 |
| 0.617107 | 1.377649 |
| 0.618161 | 1.37762 |
| 0.619216 | 1.377591 |
| 0.620274 | 1.377562 |
| 0.621333 | 1.377534 |
| 0.622394 | 1.377505 |
| 0.623457 | 1.377477 |
| 0.624522 | 1.377449 |
| 0.625588 | 1.377421 |
| 0.626656 | 1.377393 |
| 0.627727 | 1.377365 |
| 0.628799 | 1.377337 |
| 0.629872 | 1.377309 |
| 0.630948 | 1.377282 |
| 0.632026 | 1.377254 |
| 0.633105 | 1.377227 |
| 0.634186 | 1.3772 |
| 0.635269 | 1.377173 |
| 0.636354 | 1.377146 |
| 0.637441 | 1.377119 |
| 0.638529 | 1.377092 |
| 0.63962 | 1.377066 |
| 0.640712 | 1.377039 |
| 0.641806 | 1.377013 |
| 0.642902 | 1.376986 |
| 0.644 | 1.37696 |
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; 313 K (40 °C). See the original publication for the expression for n(λ,T).