Optical constants
Refractive index of C7H16 (Heptane)
Kerl and Varchmin 1995: n-Heptane; 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
- 1.36819
- Extinction coefficient k
- 0
- Permittivity ε1
- 1.87195
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- —
- Chromatic dispersion dn/dλ
- -0.031436 µm⁻¹
- Group index ng
- 1.38667
- Group velocity dispersion
- 64.6293 fs²/mm
- Dispersion parameter D
- -352.587 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; 333 K; n 0.326–0.644 µm
c7h16 = ls.fetch_refractiveindex("organic", "heptane", "Kerl-333K", 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_dbd0cb1e1eb2/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-1995-333k).
# ... 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 | 1.36230598 |
| C2 | -0.00393436 |
| C3 | -1.0 |
| C4 | 0.00434483 |
| 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 | 1.39112 |
| 0.326557 | 1.391001 |
| 0.327114 | 1.390883 |
| 0.327673 | 1.390765 |
| 0.328233 | 1.390648 |
| 0.328793 | 1.390531 |
| 0.329355 | 1.390414 |
| 0.329917 | 1.390298 |
| 0.33048 | 1.390183 |
| 0.331045 | 1.390067 |
| 0.33161 | 1.389952 |
| 0.332176 | 1.389838 |
| 0.332744 | 1.389724 |
| 0.333312 | 1.389611 |
| 0.333881 | 1.389498 |
| 0.334451 | 1.389385 |
| 0.335022 | 1.389273 |
| 0.335595 | 1.389161 |
| 0.336168 | 1.389049 |
| 0.336742 | 1.388938 |
| 0.337317 | 1.388828 |
| 0.337893 | 1.388717 |
| 0.33847 | 1.388608 |
| 0.339048 | 1.388498 |
| 0.339627 | 1.388389 |
| 0.340207 | 1.388281 |
| 0.340788 | 1.388173 |
| 0.34137 | 1.388065 |
| 0.341953 | 1.387957 |
| 0.342537 | 1.38785 |
| 0.343122 | 1.387744 |
| 0.343708 | 1.387638 |
| 0.344295 | 1.387532 |
| 0.344883 | 1.387427 |
| 0.345472 | 1.387322 |
| 0.346062 | 1.387217 |
| 0.346653 | 1.387113 |
| 0.347245 | 1.387009 |
| 0.347838 | 1.386905 |
| 0.348432 | 1.386802 |
| 0.349027 | 1.3867 |
| 0.349623 | 1.386597 |
| 0.35022 | 1.386496 |
| 0.350818 | 1.386394 |
| 0.351417 | 1.386293 |
| 0.352017 | 1.386192 |
| 0.352618 | 1.386092 |
| 0.35322 | 1.385992 |
| 0.353824 | 1.385892 |
| 0.354428 | 1.385793 |
| 0.355033 | 1.385694 |
| 0.355639 | 1.385595 |
| 0.356247 | 1.385497 |
| 0.356855 | 1.385399 |
| 0.357464 | 1.385302 |
| 0.358075 | 1.385205 |
| 0.358686 | 1.385108 |
| 0.359299 | 1.385012 |
| 0.359913 | 1.384916 |
| 0.360527 | 1.38482 |
| 0.361143 | 1.384725 |
| 0.36176 | 1.38463 |
| 0.362377 | 1.384535 |
| 0.362996 | 1.384441 |
| 0.363616 | 1.384347 |
| 0.364237 | 1.384254 |
| 0.364859 | 1.384161 |
| 0.365482 | 1.384068 |
| 0.366106 | 1.383975 |
| 0.366731 | 1.383883 |
| 0.367358 | 1.383792 |
| 0.367985 | 1.3837 |
| 0.368614 | 1.383609 |
| 0.369243 | 1.383518 |
| 0.369874 | 1.383428 |
| 0.370505 | 1.383338 |
| 0.371138 | 1.383248 |
| 0.371772 | 1.383159 |
| 0.372407 | 1.38307 |
| 0.373043 | 1.382981 |
| 0.37368 | 1.382893 |
| 0.374318 | 1.382805 |
| 0.374957 | 1.382717 |
| 0.375597 | 1.382629 |
| 0.376239 | 1.382542 |
| 0.376881 | 1.382456 |
| 0.377525 | 1.382369 |
| 0.37817 | 1.382283 |
| 0.378815 | 1.382197 |
| 0.379462 | 1.382112 |
| 0.38011 | 1.382027 |
| 0.380759 | 1.381942 |
| 0.38141 | 1.381858 |
| 0.382061 | 1.381773 |
| 0.382714 | 1.38169 |
| 0.383367 | 1.381606 |
| 0.384022 | 1.381523 |
| 0.384678 | 1.38144 |
| 0.385334 | 1.381357 |
| 0.385993 | 1.381275 |
| 0.386652 | 1.381193 |
| 0.387312 | 1.381111 |
| 0.387973 | 1.38103 |
| 0.388636 | 1.380949 |
| 0.3893 | 1.380868 |
| 0.389964 | 1.380788 |
| 0.39063 | 1.380708 |
| 0.391298 | 1.380628 |
| 0.391966 | 1.380548 |
| 0.392635 | 1.380469 |
| 0.393306 | 1.38039 |
| 0.393977 | 1.380311 |
| 0.39465 | 1.380233 |
| 0.395324 | 1.380155 |
| 0.395999 | 1.380077 |
| 0.396675 | 1.38 |
| 0.397353 | 1.379923 |
| 0.398031 | 1.379846 |
| 0.398711 | 1.379769 |
| 0.399392 | 1.379693 |
| 0.400074 | 1.379617 |
| 0.400757 | 1.379541 |
| 0.401442 | 1.379466 |
| 0.402127 | 1.379391 |
| 0.402814 | 1.379316 |
| 0.403502 | 1.379241 |
| 0.404191 | 1.379167 |
| 0.404881 | 1.379093 |
| 0.405573 | 1.379019 |
| 0.406265 | 1.378946 |
| 0.406959 | 1.378873 |
| 0.407654 | 1.3788 |
| 0.40835 | 1.378727 |
| 0.409047 | 1.378655 |
| 0.409746 | 1.378583 |
| 0.410446 | 1.378511 |
| 0.411147 | 1.378439 |
| 0.411849 | 1.378368 |
| 0.412552 | 1.378297 |
| 0.413257 | 1.378227 |
| 0.413962 | 1.378156 |
| 0.414669 | 1.378086 |
| 0.415377 | 1.378016 |
| 0.416087 | 1.377946 |
| 0.416797 | 1.377877 |
| 0.417509 | 1.377808 |
| 0.418222 | 1.377739 |
| 0.418936 | 1.37767 |
| 0.419652 | 1.377602 |
| 0.420368 | 1.377534 |
| 0.421086 | 1.377466 |
| 0.421805 | 1.377399 |
| 0.422526 | 1.377331 |
| 0.423247 | 1.377264 |
| 0.42397 | 1.377198 |
| 0.424694 | 1.377131 |
| 0.425419 | 1.377065 |
| 0.426146 | 1.376999 |
| 0.426874 | 1.376933 |
| 0.427603 | 1.376868 |
| 0.428333 | 1.376802 |
| 0.429064 | 1.376737 |
| 0.429797 | 1.376672 |
| 0.430531 | 1.376608 |
| 0.431266 | 1.376544 |
| 0.432003 | 1.37648 |
| 0.43274 | 1.376416 |
| 0.433479 | 1.376352 |
| 0.43422 | 1.376289 |
| 0.434961 | 1.376226 |
| 0.435704 | 1.376163 |
| 0.436448 | 1.376101 |
| 0.437193 | 1.376038 |
| 0.43794 | 1.375976 |
| 0.438688 | 1.375914 |
| 0.439437 | 1.375853 |
| 0.440187 | 1.375791 |
| 0.440939 | 1.37573 |
| 0.441692 | 1.375669 |
| 0.442446 | 1.375608 |
| 0.443202 | 1.375548 |
| 0.443959 | 1.375488 |
| 0.444717 | 1.375428 |
| 0.445477 | 1.375368 |
| 0.446237 | 1.375309 |
| 0.446999 | 1.375249 |
| 0.447763 | 1.37519 |
| 0.448527 | 1.375131 |
| 0.449293 | 1.375073 |
| 0.450061 | 1.375014 |
| 0.450829 | 1.374956 |
| 0.451599 | 1.374898 |
| 0.45237 | 1.37484 |
| 0.453143 | 1.374783 |
| 0.453917 | 1.374726 |
| 0.454692 | 1.374669 |
| 0.455468 | 1.374612 |
| 0.456246 | 1.374555 |
| 0.457025 | 1.374499 |
| 0.457806 | 1.374443 |
| 0.458588 | 1.374387 |
| 0.459371 | 1.374331 |
| 0.460155 | 1.374275 |
| 0.460941 | 1.37422 |
| 0.461728 | 1.374165 |
| 0.462517 | 1.37411 |
| 0.463306 | 1.374055 |
| 0.464098 | 1.374001 |
| 0.46489 | 1.373947 |
| 0.465684 | 1.373892 |
| 0.466479 | 1.373839 |
| 0.467276 | 1.373785 |
| 0.468074 | 1.373732 |
| 0.468873 | 1.373678 |
| 0.469674 | 1.373625 |
| 0.470476 | 1.373572 |
| 0.47128 | 1.37352 |
| 0.472084 | 1.373467 |
| 0.472891 | 1.373415 |
| 0.473698 | 1.373363 |
| 0.474507 | 1.373311 |
| 0.475317 | 1.37326 |
| 0.476129 | 1.373208 |
| 0.476942 | 1.373157 |
| 0.477757 | 1.373106 |
| 0.478573 | 1.373055 |
| 0.47939 | 1.373005 |
| 0.480209 | 1.372954 |
| 0.481029 | 1.372904 |
| 0.48185 | 1.372854 |
| 0.482673 | 1.372804 |
| 0.483497 | 1.372755 |
| 0.484323 | 1.372705 |
| 0.48515 | 1.372656 |
| 0.485978 | 1.372607 |
| 0.486808 | 1.372558 |
| 0.48764 | 1.372509 |
| 0.488472 | 1.372461 |
| 0.489307 | 1.372413 |
| 0.490142 | 1.372364 |
| 0.490979 | 1.372316 |
| 0.491818 | 1.372269 |
| 0.492658 | 1.372221 |
| 0.493499 | 1.372174 |
| 0.494342 | 1.372127 |
| 0.495186 | 1.37208 |
| 0.496032 | 1.372033 |
| 0.496879 | 1.371986 |
| 0.497727 | 1.37194 |
| 0.498577 | 1.371893 |
| 0.499429 | 1.371847 |
| 0.500281 | 1.371801 |
| 0.501136 | 1.371756 |
| 0.501992 | 1.37171 |
| 0.502849 | 1.371665 |
| 0.503708 | 1.37162 |
| 0.504568 | 1.371575 |
| 0.505429 | 1.37153 |
| 0.506293 | 1.371485 |
| 0.507157 | 1.371441 |
| 0.508023 | 1.371396 |
| 0.508891 | 1.371352 |
| 0.50976 | 1.371308 |
| 0.51063 | 1.371264 |
| 0.511502 | 1.371221 |
| 0.512376 | 1.371177 |
| 0.513251 | 1.371134 |
| 0.514127 | 1.371091 |
| 0.515005 | 1.371048 |
| 0.515885 | 1.371005 |
| 0.516766 | 1.370962 |
| 0.517648 | 1.37092 |
| 0.518532 | 1.370878 |
| 0.519418 | 1.370836 |
| 0.520305 | 1.370794 |
| 0.521193 | 1.370752 |
| 0.522084 | 1.37071 |
| 0.522975 | 1.370669 |
| 0.523868 | 1.370628 |
| 0.524763 | 1.370586 |
| 0.525659 | 1.370545 |
| 0.526557 | 1.370505 |
| 0.527456 | 1.370464 |
| 0.528357 | 1.370423 |
| 0.529259 | 1.370383 |
| 0.530163 | 1.370343 |
| 0.531068 | 1.370303 |
| 0.531975 | 1.370263 |
| 0.532884 | 1.370223 |
| 0.533794 | 1.370184 |
| 0.534705 | 1.370144 |
| 0.535618 | 1.370105 |
| 0.536533 | 1.370066 |
| 0.537449 | 1.370027 |
| 0.538367 | 1.369989 |
| 0.539286 | 1.36995 |
| 0.540207 | 1.369911 |
| 0.54113 | 1.369873 |
| 0.542054 | 1.369835 |
| 0.54298 | 1.369797 |
| 0.543907 | 1.369759 |
| 0.544836 | 1.369721 |
| 0.545766 | 1.369684 |
| 0.546698 | 1.369646 |
| 0.547632 | 1.369609 |
| 0.548567 | 1.369572 |
| 0.549504 | 1.369535 |
| 0.550442 | 1.369498 |
| 0.551382 | 1.369462 |
| 0.552324 | 1.369425 |
| 0.553267 | 1.369389 |
| 0.554212 | 1.369353 |
| 0.555158 | 1.369316 |
| 0.556106 | 1.369281 |
| 0.557056 | 1.369245 |
| 0.558007 | 1.369209 |
| 0.55896 | 1.369174 |
| 0.559915 | 1.369138 |
| 0.560871 | 1.369103 |
| 0.561829 | 1.369068 |
| 0.562788 | 1.369033 |
| 0.563749 | 1.368998 |
| 0.564712 | 1.368963 |
| 0.565676 | 1.368929 |
| 0.566642 | 1.368894 |
| 0.56761 | 1.36886 |
| 0.568579 | 1.368826 |
| 0.56955 | 1.368792 |
| 0.570523 | 1.368758 |
| 0.571497 | 1.368725 |
| 0.572473 | 1.368691 |
| 0.573451 | 1.368657 |
| 0.57443 | 1.368624 |
| 0.575411 | 1.368591 |
| 0.576394 | 1.368558 |
| 0.577378 | 1.368525 |
| 0.578364 | 1.368492 |
| 0.579352 | 1.36846 |
| 0.580341 | 1.368427 |
| 0.581332 | 1.368395 |
| 0.582325 | 1.368362 |
| 0.58332 | 1.36833 |
| 0.584316 | 1.368298 |
| 0.585314 | 1.368266 |
| 0.586313 | 1.368235 |
| 0.587314 | 1.368203 |
| 0.588317 | 1.368172 |
| 0.589322 | 1.36814 |
| 0.590328 | 1.368109 |
| 0.591337 | 1.368078 |
| 0.592346 | 1.368047 |
| 0.593358 | 1.368016 |
| 0.594371 | 1.367985 |
| 0.595386 | 1.367955 |
| 0.596403 | 1.367924 |
| 0.597421 | 1.367894 |
| 0.598442 | 1.367864 |
| 0.599464 | 1.367833 |
| 0.600487 | 1.367803 |
| 0.601513 | 1.367774 |
| 0.60254 | 1.367744 |
| 0.603569 | 1.367714 |
| 0.6046 | 1.367685 |
| 0.605632 | 1.367655 |
| 0.606667 | 1.367626 |
| 0.607703 | 1.367597 |
| 0.60874 | 1.367568 |
| 0.60978 | 1.367539 |
| 0.610821 | 1.36751 |
| 0.611864 | 1.367481 |
| 0.612909 | 1.367453 |
| 0.613956 | 1.367424 |
| 0.615004 | 1.367396 |
| 0.616055 | 1.367368 |
| 0.617107 | 1.36734 |
| 0.618161 | 1.367312 |
| 0.619216 | 1.367284 |
| 0.620274 | 1.367256 |
| 0.621333 | 1.367228 |
| 0.622394 | 1.367201 |
| 0.623457 | 1.367173 |
| 0.624522 | 1.367146 |
| 0.625588 | 1.367119 |
| 0.626656 | 1.367092 |
| 0.627727 | 1.367065 |
| 0.628799 | 1.367038 |
| 0.629872 | 1.367011 |
| 0.630948 | 1.366984 |
| 0.632026 | 1.366958 |
| 0.633105 | 1.366931 |
| 0.634186 | 1.366905 |
| 0.635269 | 1.366879 |
| 0.636354 | 1.366853 |
| 0.637441 | 1.366827 |
| 0.638529 | 1.366801 |
| 0.63962 | 1.366775 |
| 0.640712 | 1.366749 |
| 0.641806 | 1.366724 |
| 0.642902 | 1.366698 |
| 0.644 | 1.366673 |
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; 333 K (60 °C). See the original publication for the expression for n(λ,T).