Optical constants
Refractive index of C5H10(OH)2 (Pentanediol)
Moutzouris et al. 2013: n 0.450–1.55 µm
- Data
- formula 3
- Range
- 0.45–1.551 µm
- Temperature
- 300 K
- Licence
- CC0-1.0
Plot
Click the plot to set the calculator wavelength.
At one wavelength
- Refractive index n
- 1.44365
- Extinction coefficient k
- 0
- Permittivity ε1
- 2.08412
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- 51.815
- Chromatic dispersion dn/dλ
- -0.0429388 µm⁻¹
- Group index ng
- 1.46888
- Group velocity dispersion
- 85.1557 fs²/mm
- Dispersion parameter D
- -464.569 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
# C5H10(OH)2 (Pentanediol): Moutzouris et al. 2013: n 0.450–1.55 µm
c5h10 = ls.fetch_refractiveindex("organic", "pentanediol", "Moutzouris", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(c5h10.range_nm) # (450, 1551) nm
eps = c5h10.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_0ec69d50aa09/lightsmith"
c5h10 = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(c5h10.source) # citation and provenance travel with the data
Any dataset here, as the library's Tabulated material (pentanediol/moutzouris-2013).
# ... load c5h10 as above, then:
sim = ls.Simulation(
particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=c5h10)],
medium_index=1.0,
wavelengths=ls.WavelengthRange(start_nm=450, stop_nm=1000, 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
Polynomial (formula 3), λ in µmValid from 0.45 to 1.551 µm.
Coefficients as stored
| Ci | Value |
|---|---|
| C1 | 2.051562214 |
| C2 | -0.00354681 |
| C3 | 2.0 |
| C4 | 0.01192405 |
| C5 | -2.0 |
| C6 | -0.000350124 |
| C7 | -4.0 |
| C8 | 8.97124e-05 |
| C9 | -6.0 |
Comments and conditions
Conditions
- temperature
- 300 K
References
- doi:10.1007/s00340-013-5744-3 Refractive, dispersive and thermo-optic properties of twelve organic solvents in the visible and near-infrared, Applied Physics B (2013)
Cite
Konstantinos Moutzouris et al.. Refractive, dispersive and thermo-optic properties of twelve organic solvents in the visible and near-infrared. Applied Physics B, 116, 617-622 (2013), doi:10.1007/s00340-013-5744-3; 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 |
|---|---|
| 0.45 | 1.45327 |
| 0.451398 | 1.453111 |
| 0.4528 | 1.452953 |
| 0.454206 | 1.452797 |
| 0.455617 | 1.452643 |
| 0.457032 | 1.45249 |
| 0.458452 | 1.452338 |
| 0.459876 | 1.452188 |
| 0.461304 | 1.45204 |
| 0.462737 | 1.451892 |
| 0.464174 | 1.451747 |
| 0.465616 | 1.451602 |
| 0.467062 | 1.451459 |
| 0.468513 | 1.451317 |
| 0.469968 | 1.451177 |
| 0.471428 | 1.451038 |
| 0.472892 | 1.4509 |
| 0.474361 | 1.450763 |
| 0.475835 | 1.450628 |
| 0.477313 | 1.450494 |
| 0.478795 | 1.450361 |
| 0.480282 | 1.45023 |
| 0.481774 | 1.450099 |
| 0.483271 | 1.44997 |
| 0.484772 | 1.449842 |
| 0.486277 | 1.449715 |
| 0.487788 | 1.449589 |
| 0.489303 | 1.449464 |
| 0.490823 | 1.449341 |
| 0.492347 | 1.449218 |
| 0.493877 | 1.449096 |
| 0.495411 | 1.448976 |
| 0.496949 | 1.448857 |
| 0.498493 | 1.448738 |
| 0.500041 | 1.448621 |
| 0.501595 | 1.448504 |
| 0.503153 | 1.448389 |
| 0.504715 | 1.448275 |
| 0.506283 | 1.448161 |
| 0.507856 | 1.448049 |
| 0.509433 | 1.447937 |
| 0.511015 | 1.447827 |
| 0.512603 | 1.447717 |
| 0.514195 | 1.447608 |
| 0.515792 | 1.4475 |
| 0.517394 | 1.447393 |
| 0.519001 | 1.447287 |
| 0.520613 | 1.447182 |
| 0.52223 | 1.447077 |
| 0.523852 | 1.446974 |
| 0.52548 | 1.446871 |
| 0.527112 | 1.446769 |
| 0.528749 | 1.446668 |
| 0.530391 | 1.446567 |
| 0.532039 | 1.446468 |
| 0.533691 | 1.446369 |
| 0.535349 | 1.446271 |
| 0.537012 | 1.446174 |
| 0.53868 | 1.446077 |
| 0.540353 | 1.445981 |
| 0.542031 | 1.445886 |
| 0.543715 | 1.445792 |
| 0.545404 | 1.445699 |
| 0.547098 | 1.445606 |
| 0.548797 | 1.445513 |
| 0.550502 | 1.445422 |
| 0.552212 | 1.445331 |
| 0.553927 | 1.445241 |
| 0.555647 | 1.445152 |
| 0.557373 | 1.445063 |
| 0.559105 | 1.444975 |
| 0.560841 | 1.444887 |
| 0.562583 | 1.444801 |
| 0.564331 | 1.444714 |
| 0.566084 | 1.444629 |
| 0.567842 | 1.444544 |
| 0.569606 | 1.44446 |
| 0.571375 | 1.444376 |
| 0.57315 | 1.444293 |
| 0.57493 | 1.44421 |
| 0.576716 | 1.444128 |
| 0.578507 | 1.444047 |
| 0.580304 | 1.443966 |
| 0.582106 | 1.443886 |
| 0.583914 | 1.443806 |
| 0.585728 | 1.443727 |
| 0.587547 | 1.443649 |
| 0.589372 | 1.443571 |
| 0.591203 | 1.443493 |
| 0.593039 | 1.443416 |
| 0.594881 | 1.44334 |
| 0.596729 | 1.443264 |
| 0.598583 | 1.443189 |
| 0.600442 | 1.443114 |
| 0.602307 | 1.44304 |
| 0.604178 | 1.442966 |
| 0.606054 | 1.442892 |
| 0.607937 | 1.44282 |
| 0.609825 | 1.442747 |
| 0.611719 | 1.442675 |
| 0.613619 | 1.442604 |
| 0.615525 | 1.442533 |
| 0.617437 | 1.442463 |
| 0.619355 | 1.442393 |
| 0.621279 | 1.442323 |
| 0.623209 | 1.442254 |
| 0.625144 | 1.442185 |
| 0.627086 | 1.442117 |
| 0.629034 | 1.442049 |
| 0.630988 | 1.441982 |
| 0.632948 | 1.441915 |
| 0.634914 | 1.441849 |
| 0.636886 | 1.441782 |
| 0.638864 | 1.441717 |
| 0.640848 | 1.441652 |
| 0.642839 | 1.441587 |
| 0.644835 | 1.441522 |
| 0.646838 | 1.441458 |
| 0.648847 | 1.441395 |
| 0.650863 | 1.441332 |
| 0.652885 | 1.441269 |
| 0.654912 | 1.441206 |
| 0.656947 | 1.441144 |
| 0.658987 | 1.441083 |
| 0.661034 | 1.441021 |
| 0.663087 | 1.44096 |
| 0.665147 | 1.4409 |
| 0.667213 | 1.44084 |
| 0.669285 | 1.44078 |
| 0.671364 | 1.44072 |
| 0.673449 | 1.440661 |
| 0.675541 | 1.440602 |
| 0.67764 | 1.440544 |
| 0.679744 | 1.440486 |
| 0.681856 | 1.440428 |
| 0.683974 | 1.440371 |
| 0.686098 | 1.440314 |
| 0.688229 | 1.440257 |
| 0.690367 | 1.440201 |
| 0.692511 | 1.440145 |
| 0.694662 | 1.440089 |
| 0.69682 | 1.440033 |
| 0.698984 | 1.439978 |
| 0.701155 | 1.439923 |
| 0.703333 | 1.439869 |
| 0.705518 | 1.439815 |
| 0.707709 | 1.439761 |
| 0.709907 | 1.439707 |
| 0.712112 | 1.439654 |
| 0.714324 | 1.439601 |
| 0.716543 | 1.439549 |
| 0.718769 | 1.439496 |
| 0.721001 | 1.439444 |
| 0.723241 | 1.439392 |
| 0.725487 | 1.439341 |
| 0.727741 | 1.43929 |
| 0.730001 | 1.439239 |
| 0.732269 | 1.439188 |
| 0.734543 | 1.439138 |
| 0.736825 | 1.439087 |
| 0.739113 | 1.439038 |
| 0.741409 | 1.438988 |
| 0.743712 | 1.438939 |
| 0.746022 | 1.43889 |
| 0.748339 | 1.438841 |
| 0.750664 | 1.438792 |
| 0.752995 | 1.438744 |
| 0.755334 | 1.438696 |
| 0.75768 | 1.438648 |
| 0.760034 | 1.438601 |
| 0.762394 | 1.438553 |
| 0.764762 | 1.438506 |
| 0.767138 | 1.43846 |
| 0.769521 | 1.438413 |
| 0.771911 | 1.438367 |
| 0.774308 | 1.438321 |
| 0.776713 | 1.438275 |
| 0.779126 | 1.438229 |
| 0.781546 | 1.438184 |
| 0.783974 | 1.438139 |
| 0.786409 | 1.438094 |
| 0.788851 | 1.438049 |
| 0.791302 | 1.438005 |
| 0.793759 | 1.43796 |
| 0.796225 | 1.437916 |
| 0.798698 | 1.437872 |
| 0.801179 | 1.437829 |
| 0.803667 | 1.437785 |
| 0.806164 | 1.437742 |
| 0.808668 | 1.437699 |
| 0.811179 | 1.437656 |
| 0.813699 | 1.437614 |
| 0.816226 | 1.437571 |
| 0.818762 | 1.437529 |
| 0.821305 | 1.437487 |
| 0.823856 | 1.437446 |
| 0.826415 | 1.437404 |
| 0.828982 | 1.437363 |
| 0.831557 | 1.437321 |
| 0.83414 | 1.43728 |
| 0.83673 | 1.43724 |
| 0.839329 | 1.437199 |
| 0.841936 | 1.437159 |
| 0.844552 | 1.437118 |
| 0.847175 | 1.437078 |
| 0.849806 | 1.437038 |
| 0.852446 | 1.436999 |
| 0.855094 | 1.436959 |
| 0.85775 | 1.43692 |
| 0.860414 | 1.43688 |
| 0.863086 | 1.436841 |
| 0.865767 | 1.436803 |
| 0.868456 | 1.436764 |
| 0.871154 | 1.436725 |
| 0.87386 | 1.436687 |
| 0.876574 | 1.436649 |
| 0.879297 | 1.436611 |
| 0.882028 | 1.436573 |
| 0.884768 | 1.436535 |
| 0.887516 | 1.436498 |
| 0.890272 | 1.43646 |
| 0.893038 | 1.436423 |
| 0.895811 | 1.436386 |
| 0.898594 | 1.436349 |
| 0.901385 | 1.436312 |
| 0.904185 | 1.436276 |
| 0.906993 | 1.436239 |
| 0.909811 | 1.436203 |
| 0.912636 | 1.436167 |
| 0.915471 | 1.436131 |
| 0.918315 | 1.436095 |
| 0.921167 | 1.436059 |
| 0.924028 | 1.436023 |
| 0.926898 | 1.435988 |
| 0.929777 | 1.435953 |
| 0.932665 | 1.435917 |
| 0.935562 | 1.435882 |
| 0.938468 | 1.435847 |
| 0.941383 | 1.435812 |
| 0.944307 | 1.435778 |
| 0.94724 | 1.435743 |
| 0.950183 | 1.435709 |
| 0.953134 | 1.435674 |
| 0.956094 | 1.43564 |
| 0.959064 | 1.435606 |
| 0.962043 | 1.435572 |
| 0.965031 | 1.435538 |
| 0.968029 | 1.435505 |
| 0.971036 | 1.435471 |
| 0.974052 | 1.435438 |
| 0.977077 | 1.435404 |
| 0.980112 | 1.435371 |
| 0.983156 | 1.435338 |
| 0.98621 | 1.435305 |
| 0.989273 | 1.435272 |
| 0.992346 | 1.435239 |
| 0.995428 | 1.435206 |
| 0.99852 | 1.435174 |
| 1.00162 | 1.435141 |
| 1.00473 | 1.435109 |
| 1.00785 | 1.435077 |
| 1.01098 | 1.435044 |
| 1.01412 | 1.435012 |
| 1.01727 | 1.43498 |
| 1.02043 | 1.434948 |
| 1.0236 | 1.434917 |
| 1.02678 | 1.434885 |
| 1.02997 | 1.434853 |
| 1.03317 | 1.434822 |
| 1.03638 | 1.43479 |
| 1.0396 | 1.434759 |
| 1.04283 | 1.434728 |
| 1.04607 | 1.434697 |
| 1.04932 | 1.434665 |
| 1.05258 | 1.434634 |
| 1.05585 | 1.434604 |
| 1.05913 | 1.434573 |
| 1.06242 | 1.434542 |
| 1.06572 | 1.434511 |
| 1.06903 | 1.434481 |
| 1.07235 | 1.43445 |
| 1.07568 | 1.43442 |
| 1.07902 | 1.434389 |
| 1.08237 | 1.434359 |
| 1.08573 | 1.434329 |
| 1.0891 | 1.434299 |
| 1.09249 | 1.434269 |
| 1.09588 | 1.434239 |
| 1.09928 | 1.434209 |
| 1.1027 | 1.434179 |
| 1.10612 | 1.434149 |
| 1.10956 | 1.434119 |
| 1.11301 | 1.43409 |
| 1.11646 | 1.43406 |
| 1.11993 | 1.434031 |
| 1.12341 | 1.434001 |
| 1.1269 | 1.433972 |
| 1.1304 | 1.433942 |
| 1.13391 | 1.433913 |
| 1.13743 | 1.433884 |
| 1.14096 | 1.433854 |
| 1.14451 | 1.433825 |
| 1.14806 | 1.433796 |
| 1.15163 | 1.433767 |
| 1.15521 | 1.433738 |
| 1.15879 | 1.433709 |
| 1.16239 | 1.43368 |
| 1.166 | 1.433652 |
| 1.16963 | 1.433623 |
| 1.17326 | 1.433594 |
| 1.1769 | 1.433565 |
| 1.18056 | 1.433537 |
| 1.18423 | 1.433508 |
| 1.1879 | 1.433479 |
| 1.19159 | 1.433451 |
| 1.1953 | 1.433422 |
| 1.19901 | 1.433394 |
| 1.20273 | 1.433366 |
| 1.20647 | 1.433337 |
| 1.21022 | 1.433309 |
| 1.21397 | 1.433281 |
| 1.21774 | 1.433252 |
| 1.22153 | 1.433224 |
| 1.22532 | 1.433196 |
| 1.22913 | 1.433168 |
| 1.23295 | 1.433139 |
| 1.23677 | 1.433111 |
| 1.24062 | 1.433083 |
| 1.24447 | 1.433055 |
| 1.24834 | 1.433027 |
| 1.25221 | 1.432999 |
| 1.2561 | 1.432971 |
| 1.26 | 1.432943 |
| 1.26392 | 1.432915 |
| 1.26784 | 1.432887 |
| 1.27178 | 1.432859 |
| 1.27573 | 1.432831 |
| 1.27969 | 1.432803 |
| 1.28367 | 1.432775 |
| 1.28766 | 1.432747 |
| 1.29166 | 1.43272 |
| 1.29567 | 1.432692 |
| 1.29969 | 1.432664 |
| 1.30373 | 1.432636 |
| 1.30778 | 1.432608 |
| 1.31184 | 1.43258 |
| 1.31592 | 1.432553 |
| 1.32 | 1.432525 |
| 1.3241 | 1.432497 |
| 1.32822 | 1.432469 |
| 1.33234 | 1.432441 |
| 1.33648 | 1.432414 |
| 1.34063 | 1.432386 |
| 1.34479 | 1.432358 |
| 1.34897 | 1.43233 |
| 1.35316 | 1.432302 |
| 1.35736 | 1.432275 |
| 1.36158 | 1.432247 |
| 1.36581 | 1.432219 |
| 1.37005 | 1.432191 |
| 1.37431 | 1.432163 |
| 1.37858 | 1.432135 |
| 1.38286 | 1.432108 |
| 1.38715 | 1.43208 |
| 1.39146 | 1.432052 |
| 1.39578 | 1.432024 |
| 1.40012 | 1.431996 |
| 1.40447 | 1.431968 |
| 1.40883 | 1.43194 |
| 1.41321 | 1.431912 |
| 1.4176 | 1.431884 |
| 1.422 | 1.431856 |
| 1.42642 | 1.431828 |
| 1.43085 | 1.4318 |
| 1.43529 | 1.431772 |
| 1.43975 | 1.431744 |
| 1.44422 | 1.431716 |
| 1.44871 | 1.431688 |
| 1.45321 | 1.43166 |
| 1.45772 | 1.431631 |
| 1.46225 | 1.431603 |
| 1.46679 | 1.431575 |
| 1.47135 | 1.431547 |
| 1.47592 | 1.431518 |
| 1.4805 | 1.43149 |
| 1.4851 | 1.431462 |
| 1.48971 | 1.431433 |
| 1.49434 | 1.431405 |
| 1.49898 | 1.431376 |
| 1.50364 | 1.431348 |
| 1.50831 | 1.431319 |
| 1.51299 | 1.431291 |
| 1.51769 | 1.431262 |
| 1.52241 | 1.431233 |
| 1.52714 | 1.431204 |
| 1.53188 | 1.431176 |
| 1.53664 | 1.431147 |
| 1.54141 | 1.431118 |
| 1.5462 | 1.431089 |
| 1.551 | 1.43106 |
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
- —
1,5-Pentanediol; 300 K (27 °C).